Birmingham City Schools Middle School. Teacher Resource Packet

Transcription

1 Middle School Mathematics Grade 6 and Pre-AP Mathematics Grade 6 Teacher Resource Packet Table of Contents TOPIC Suggested Notebook Guidelines Standards for Mathematical Practice Course Syllabus PAGE Course of Study: Mathematics Grade 6 (Adopted 2010) 6 Mathematics Grade 6 Pacing Comments 13 Pre-AP Mathematics Grade 6 First Semester Objectives 14 Pre-AP Mathematics Grade 6 Pacing Guide Semester 1 16 Pre-AP Mathematics Grade 6 Second Semester Objectives 34 Pre-AP Mathematics Grade 6 Pacing Guide Semester 2 35 Mathematics Grade 6 First Semester Objectives 57 Mathematics Grade 6 Pacing Guide Semester 1 59 Mathematics Grade 6 Second Semester Objectives 77 Mathematics Grade 6 Pacing Guide Semester 2 79 Test Taking Tips for Students 100 National Math + Science Initiative Pre-AP Instructional Units 102 Suggestions for Grade 6 NMSI (LTF) Lessons 103 Creative Coordinate Design Samples Statistical Displays Project Guidelines Exit Ticket Slips Birmingham City Schools Calendar

2 Suggested Notebook Guidelines for Improved Student Performance in Mathematics 1. Use pencil which will allow for easy corrections. 2. Each day use a heading that states the objective for that day. 3. Date all class notes. 4. Begin each day s notes on a new side of paper. 5. Write down all sample problems and important figures and definitions. 6. Use dividers or separate your notebook into the following sections: Class Notes and Vocabulary Homework Daily Assignments 7. Become familiar with the Notebook Evaluation Form that will be used to check your notebook. Date: Thoroughness Accuracy Organization Neatness Total Score /16 Very Good 4 Good 3 Satisfactory 2 Needs Improvement 1 8. The first notebook check this year will be completed by each student, using + or -. Subsequent notebook checks will be done by the classroom teacher, at announced and un-announced times during each grading period. Notebook Inserts Suggested Notebook Guidelines for Improved Student Performance in Mathematics Standards for Mathematics Practices Syllabus (Course Overview) Semester Objectives 2

3 Standards for Mathematical Practice 3

4 School SIXTH GRADE `MATHEMATICS COURSE SYLLABUS Teacher: Class phone: Room #: Address: Consumable Textbook: Glencoe Math Course 1 Volume 1 and Volume 2 connected.mcgraw-hill.com Course Description: Alabama Course of Study ~ Common Core Standards The sixth-grade mathematical curriculum is designed to maximize student learning through the use of manipulatives, cooperative learning, investigations, and technology. The curriculum assists students as they begin the transition of mathematical thought processes, from the concrete to the abstract. Course Objectives: Alabama Course of Study ~ Common Core Standards In this course, opportunities are provided for students to gain a thorough understanding of decimals and fractions, while integrating number sense concepts into the five mathematical strands. Grade 6 Mathematics Course Syllabus In Grade 6, instructional time should focus on four critical areas. These areas are (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking. Important information regarding these four critical areas of instruction follows: (1) Students use reasoning about multiplication and division to solve ratio and rate problems about quantities. By viewing equivalent ratios and rates as deriving from and extending pairs of rows or columns in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Thus students expand the scope of problems for which they can use multiplication and division to solve problems, and they connect ratios and fractions. They solve a wide variety of problems involving ratios and rates. (2) Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. They use these operations to solve problems. Students extend their previous understandings of number and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular, negative integers. They reason about the order and absolute value of rational numbers and about the location of points in all four quadrants of the coordinate plane. 4

5 (3) Students understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students understand that expressions in different forms can be equivalent, and they use the properties of operations to rewrite expressions in equivalent forms. They know that the solutions of an equation are the values of the variables that make the equation true. Students use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. They construct and analyze tables, such as tables of quantities that are in equivalent ratios, and they use equations such as 3x = y to describe relationships between quantities. (4) Building on and reinforcing their understanding of number, students begin to develop their ability to think statistically. Students recognize that a data distribution may not have a definite center and that different ways to measure center yield different values. The median measures center in the sense that it is roughly the middle value. The mean measures center in the sense that it is the value that each data point would take on if the total of the data values were redistributed equally, and also in the sense that it is a balance point. They recognize that a measure of variability, the interquartile range or mean absolute deviation, can also be useful for summarizing data because two very different sets of data can have the same mean and median yet be distinguished by their variability. Students learn to describe and summarize numerical data sets, including identifying clusters, peaks, gaps, and symmetry, with consideration to the context in which the data were collected. Students in Grade 6 also build on their elementary school work with area by reasoning about relationships among shapes to determine area, surface area, and volume. They find areas of right triangles, other triangles, and special quadrilaterals by decomposing these shapes, rearranging or removing pieces, and relating the shapes to rectangles. Using these methods, students discuss, develop, and justify formulas for areas of triangles and parallelograms. Students find areas of polygons and surface areas of prisms and pyramids by decomposing them into pieces whose area they can determine. They reason about right rectangular prisms with fractional side lengths to extend formulas for the volume of a right rectangular prism to fractional side lengths. They prepare for work on scale drawings and constructions in Grade 7 by drawing polygons in the coordinate plane. Required Materials: To be successful, the following materials must enter the classroom with students daily. 1. Glencoe Math consumable textbooks Volume 1 & Volume 2 2. Math notebook, 2 pocket-3 prong folder, agenda 3. Pencil/s & manual sharpener 4. Homework assignments (access to online resources) 5. 4-function calculator 6. Markers, colored pencils, scissors, graph paper, ruler (TBA when needed) Evaluation: Students will be evaluated in the following areas: class work (individual and cooperative learning groups), homework, quizzes, tests, and projects. 5

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13 Lesson Date: Comment(s): Lesson Date: Comment(s): Middle School Mathematics Grade 6 First Semester Remarks / Comments Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): Second Semester Remarks / Comments Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): Lesson Date: Comment(s): 13 Birmingham City Schools

14 Pre-AP Mathematics Grade 6 First Semester Objectives Teach with an emphasis on the vocabulary of mathematics, real world applications, and appropriate problem solving strategies. Students will be able to: Ratios and Proportional Relationships Understand ratio concepts and use ratio reasoning to solve problems. 1. Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. 2. Understand the concept of a unit rate associated with a/b ratio a:b with b 0, and use rate language in the context of a ratio relationship. 3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. The Number System Apply and extend previous understandings of multiplication and division to divide by fractions. 1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem Compute fluently with multi-digit numbers and find common factors and multiples. 2. Fluently divide multi-digit numbers using the standard algorithm. 3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation 4. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. Apply and extend previous understandings of numbers to the system of rational numbers. 5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts explaining the meaning of 0 in each situation. 6. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. 7. Understand ordering and absolute value of rational numbers. Birmingham City Schools 14

15 8. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6-NS8] Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. Birmingham City Schools 15

16 13 Birmingham City Schools Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 08/19/13 08/20/13 First Semester Begins (First Day for Students) Discuss: course description, expectations (classroom rules and grading), materials and supplies (pencils, loose-leaf paper, graph paper, folders, etc.), and notebook organization Course Diagnostic Test Available Online at connected.mcgrawhill.com 08/21/13 08/22/13 Review Diagnostic Test Overview of textbook and online resources 08/23/13 Overview of textbook and online resources Reference Materials: National Math + Science Initiative (NMSI) 16

17 Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 08/26/13 Chapter 1 Ratios and Rates Lesson 1: Factors and Multiples pp ACOS: [6.7] CCRS: [6-NS4] Inquiry Lab p /27/13 Lesson 2: Ratios pp ACOS: [6.1], [6.3] CCRS: [6-RP1], [6- RP3a] 08/28/13 Chapter 4 Lesson 5: Convert Measurement Units (by Using Ratios) pp ACOS:[6.3],[6.3d] CCRS: [6-RP3], [6-RP3d] 08/29/13 08/30/13 Lesson 3: Rates pp Lesson 4: Ratio Tables pp ACOS: [6.2], [6.3], [6.3b] CCRS: [6-RP1], [6-RP3], [6-RP3b] ACOS: [6.2], [6.3], [6.3b] CCRS: [6-RP1], [6-RP3], [6-RP3b] Reference Materials: National Math + Science Initiative (NMSI) 17

18 Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/02/13 Labor Day/No School (Schools & District Offices Closed) 09/03/13 Assessment: Mid-Chapter Check p.58 09/04/13 Lesson 5: Graph Ratio Tables pp ACOS: [6.3], [6.3a] CCRS: [6-RP3], [6-RP3a] 09/05/13 Lesson 6: Equivalent Ratios pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] 09/06/13 Lesson 7: Ratio and Rate Problems pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] Inquiry Lab pp Reference Materials: National Math + Science Initiative (NMSI) 18

19 Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/09/13 Chapter 1 Review p. 81 Available Online at connected.mcgrawhill.com 09/10/13 Chapter 1 Assessment 09/11/13 09/12/13 Chapter 2 Fractions, Decimals and Percents Lesson 1: Decimals and Fractions pp Lesson 2: Percents and Fractions pp ACOS: [6.3C] CCRS: [6-RP3C] ACOS: [6.3C] CCSS: [6-RP3C] Inquiry Lab p.97 09/13/13 Lesson 3: Percents and Decimals pp ACOS: [6.3C] CCRS: [6-RP3C] Reference Materials: National Math + Science Initiative (NMSI) 19

20 Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/16/13 Lesson 4: Percents Greater than 100% and Percents Less than 1% pp ACOS: [6.3C] CCRS: [6-RP3C] 09/17/13 Review Assessment: Mid-Chapter Check p /18/13 09/19/13 Lesson 5: Compare and Order Fractions, Decimals and Percents pp (MID-POINT) Lesson 6: Estimate with Percents pp ACOS: [6.3C] CCRS: [6-RP3C] ACOS: [6.3C] CCRS: [6-RP3], [6-RP3C] 09/20/13 Lesson 7: Percent of a Number p *PROGRESS REPORTS GO HOME ACOS: [6.3C] CCRS: [6-RP3], [6-RP3C] Reference Materials: National Math + Science Initiative (NMSI) 20

21 Pre-AP Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/23/13 Lesson 8: Solve Percents Problems pp ACOS: [6.3C] CCRS: [6-RP3], [6-RP3C] 09/24/13 Chapter 2 Review p /25/13 09/26/13 Chapter 2 Assessment Chapter 3 Compute with Multi-Digit Numbers Lesson 1: Add and Subtract Decimals pp ACOS: [6.6] CCRS: [6-NS3] Available Online at connected.mcgrawhill.com Inquiry Lab p /27/13 Lesson 2: Estimate Products pp ACOS: [6.6] CCRS: [6-NS3] Reference Materials: National Math + Science Initiative (NMSI) 21

22 Pre-AP Mathematics Grade 6 09/30/13 Lesson 3: Multiply Decimals by Whole Numbers pp ACOS: [6.6] CCRS: [6-NS3] 10/01/13 10/02/13 Lesson 4: Multiply Decimals by Decimals pp *Important Include Look for a Pattern on p * Practice Test #1 (15 minutes) Review Assessment: Mid-Chapter Check p. 214 ACOS: [6.6] CCRS: [6-NS3] 10/03/13 Lesson 5: Divide Multi-Digit Numbers pp ACOS: [6.5] CCRS: [6-NS2] 10/04/13 Lesson 6: Estimate Quotients pp ACOS: [6.5] CCRS: [6-NS2] Reference Materials: National Math + Science Initiative (NMSI) 22

23 Pre-AP Mathematics Grade 6 10/07/13 Lesson7: Divide Decimals by Whole Numbers pp ACOS: [6.5] CCRS: [6-NS2] 10/08/13 Lesson 8: Divide Decimals by Decimals pp ACOS: [6.5] CCRS: [6-NS2] 10/09/13 10/10/13 Chapter 3 Review p. 249 Chapter 3 Assessment 10/11/13 NMSI: Minimizing Debt See Key Teacher for hard copy Reference Materials: National Math + Science Initiative (NMSI) 23

24 Pre-AP Mathematics Grade 6 10/14/13 Chapter 4 Multiply and Divide Fractions Lesson 1:Estimate Products of Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/15/13 Lesson 2: Multiply Fractions and Whole Numbers pp ACOS: [6.4] CCRS: [6-NS1] 10/16/13 Lesson 3: Multiply Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/17/13 10/18/13 Lesson 4: Multiply Mixed Numbers pp Continue Lesson 4: Multiply Mixed Numbers pp ( 1 ST REPORT PERIOD ENDS) ACOS: [6.4] CCRS: [6-NS1] ACOS: [6.4] CCRS: [6-NS1] Reference Materials: National Math + Science Initiative (NMSI) 24

25 Pre-AP Mathematics Grade 6 ARMT+ 10/21/13 Assessment: Mid-Chapter Check p.300 (2 ND REPORT PERIOD BEGINS) 10/22/13 Lesson 6: Divide Whole Numbers by Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/23/13 Lesson 7: Divide Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/24/13 Lesson 8: Divide Mixed Numbers pp ACOS [6.4] CCRS [6-NS1] 10/25/13 **Teacher Work Day (No Students) Reference Materials: National Math + Science Initiative (NMSI) 25

26 Pre-AP Mathematics Grade 6 10/28/13 Chapter 4 Review p /29/13 10/30/13 10/31/13 11/01/13 **Report Cards Go Home (Early Dismissal for Students) Online Mathematics Department Resources Chapter 4 Assessment Chapter 5 Integers and the Coordinate Plane Inquiry Lab: Integers pp Lesson 1: Integers and Graphing pp ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] Available Online at connected.mcgrawhill.com Reference Materials: National Math + Science Initiative (NMSI) 26

27 Pre-AP Mathematics Grade 6 11/04/13 Continue Lesson 1: Integers and Graphing pp ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] 11/05/13 11/06/13 11/07/13 Lesson 2: Absolute Value pp Inquiry Lab: Absolute Value pp Practice #2 (15 minutes) Continue Lesson 2: Absolute Value pp Lesson 3: Compare and Order Integers pp ACOS: [6.9],[6.9a], [6.10] CCRS: [6-NS6], [6-NS7c], [6-NS7d] ACOS: [6.9],[6.9a], [6.10] CCRS: [6-NS6], [6-NS7c], [6-NS7d] ACOS: [6.9], [6.10] CCRS: [6-NS7], [6-NS7a], [6-NS7b], [6-NS7d] 11/08/13 Continue Lesson 3: Compare and Order Integers pp ACOS: [6.9], [6.10] CCRS: [6-NS7], [6-NS7a], [6-NS7b], [6-NS7d] Reference Materials: National Math + Science Initiative (NMSI) 27

28 Pre-AP Mathematics Grade 6 11/11/13 11/12/13 11/13/13 11/14/13 Veterans Day (Schools & District Offices Closed) Assessment: Mid-Chapter Check p. 374 Lesson 4: Terminating and Repeating Decimals pp Continue Lesson 4: Terminating and Repeating Decimals pp ACOS: [6.10] CCRS:[6-NS7a] ACOS: [6.10] CCRS:[6-NS7a] 11/15/13 Lesson 5: Compare and Order Rational Numbers pp ACOS:[6.9], [6.9c], [6.10a-b] CCRS: [6-NS6], [6-NS6c], [6-NS7], [6-NS7a], [6-NS7b] Reference Materials: National Math + Science Initiative (NMSI) 28

29 Pre-AP Mathematics Grade 6 11/18/13 11/19/13 Lesson 6: The Coordinate Plane pp *Introduce Creative Coordinate Design Project Lesson 7: Graph on the Coordinate Plane pp ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] *Creative Coordinate Design Samples See Pacing Guide pp Or NMSI Perimeter and Area of Triangles and Rectangles (Module 2) See Key Teacher for hard copy 11/20/13 Continue Lesson 7: Graph on the Coordinate Plane pp ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] 11/21/13 Inquiry Lab: Find Distance on the Coordnate Plane ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] 11/22/13 Creative Coordinate Design Project Presentations *PROGRESS REPORTS GO HOME Reference Materials: National Math + Science Initiative (NMSI) 29

30 Pre-AP Mathematics Grade 6 11/25/13 Chapter 5 Review p /26/13 11/27/13 Chapter 5 Assessment *ISSUE TEXTBOOK VOLUME 2 THANKSGIVING HOLIDAY (Schools & District Offices Closed) Available Online at connected.mcgrawhill.com 11/28/13 THANKSGIVING HOLIDAY (Schools & District Offices Closed) 11/29/13 THANKSGIVING HOLIDAY (Schools & District Offices Closed) Reference Materials: National Math + Science Initiative (NMSI) 30

31 Pre-AP Mathematics Grade 6 12/02/13 12/03/13 NMSI- The Cheapest Gas Line NMSI- The Cheapest Gas Line See Key Teacher for hard copy See Key Teacher for hard copy 12/04/13 BEGIN: TEXTBOOK VOLUME 2 Chapter 9 Area ACOS: [6.21] CCRS: [6-G1] Lesson 1: Area of Parallelograms pp /05/13 Lesson 2: Area of Triangles pp CCRS: [6-G1] 12/06/13 Lesson 3: Area of Trapezoids pp CCRS: [6-G1] Inquiry Lab pp Reference Materials: National Math + Science Initiative (NMSI) 31

32 Pre-AP Mathematics Grade 6 12/09/13 Mid-Chapter Check: p. 696 Lesson 4: Changes in Dimension pp ACOS: [6.21] CCRS: [6-G1] 12/10/13 Lesson 5: Polygons of the Coordinate Plane pp ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] 12/11/13 Lesson 6: Area of Composite Figures pp ACOS: [6.21] CCRS: [6-G1] 12/12/13 Chapter 9 Review 12/13/13 Chapter 9 Assessment Reference Materials: National Math + Science Initiative (NMSI) 32

33 Pre-AP Mathematics Grade 6 12/16/13 Review Chapters 1-3 Use math games and various manipulatives to review 12/17/13 12/18/13 Review Chapters 4, 5, 9 1st Semester Exam Teacher Made Use math games and various manipulatives to review Available Online at connected.mcgrawhill.com 12/19/13 12/20/13 Semester Exam Make-Up Teacher Made (2 ND REPORT PERIOD ENDS) I Have Who Has? Review Last day for Students December 23 January 3 (Students Christmas Holidays) Available Online at connected.mcgrawhill.com Use math games and various manipulatives to review Reference Materials: National Math + Science Initiative (NMSI) 33

34 Pre-AP Mathematics Grade 6 Second Semester Objectives Teach with an emphasis on the vocabulary of mathematics, real world applications, and appropriate problem solving strategies. Students will be able to: Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 2. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 3. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 4. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. 5. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. Statistics and Probability Develop understanding of statistical variability. 1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. 2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. 3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Summarize and describe distributions. 4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 5. Summarize numerical data sets in relation to their context. 34

35 Expressions and Equations Apply and extend previous understandings of arithmetic to algebraic expressions. 1. Write and evaluate numerical expressions involving whole-number exponents. 2. Write, read, and evaluate expressions in which letters stand for numbers. 3. Apply the properties of operations to generate equivalent expressions. 4. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). Reason about and solve one-variable equations and inequalities. 5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 6. Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. 7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. 8. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. Represent and analyze quantitative relationships between dependent and independent variables. 9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. 34

36 Pre-AP Mathematics Grade 6 01/06/14 01/07/14 NMSI-CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles *3 RD REPORT PERIOD BEGINS NMSI - CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] See Key Teacher for hard copy See Key Teacher for hard copy 01/08/14 01/09/14 *REPORT CARDS GO HOME NMSI - CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles Chapter 10 Volume and Surface Area Lesson 1: Volume of Rectangular Prisms pp ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] ACOS: [6.22] CCRS: [6-G2] See Key Teacher for hard copy 01/10/14 Lesson 2: Volume of Triangular Prisms pp ACOS: [6.22] CCRS: [6-G2] Reference Materials: National Math + Science Initiative (NMSI) 36

37 Pre-AP Mathematics Grade 6 01/13/14 Lesson 3: Surface Area of Rectangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/14/14 Continue Lesson 3: Surface Area of Rectangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/15/14 Assessment: Mid-Chapter Check p /16/14 Lesson 4: Surface Area of Triangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/17/14 Lesson 5: Surface Area of Pyramids pp ACOS: [6.24] CCRS: [6-G2] Reference Materials: National Math + Science Initiative (NMSI) 37

38 Pre-AP Mathematics Grade 6 01/20/14 Dr. Martin Luther King, Jr. Day (Schools & District Offices Closed) 01/21/14 01/22/14 NMSI-Surface Area and Volume ACOS: [6.24] CCRS: [6-G2] * Practice #3 (15 minutes) NMSI-Surface Area and Volume ACOS: [6.24] CCRS: [6-G2] See Key Teacher for hard copy See Key Teacher for hard copy 01/23/14 Chapter 10 Review p /24/14 Chapter 10 Assessment Available Online at connected.mcgrawhill.com Reference Materials: National Math + Science Initiative (NMSI) 38

39 Pre-AP Mathematics Grade 6 01/27/14 Chapter 11 Statistical Measures Lesson 1: Mean pp ACOS: [6.27] CCRS: [6-SP3] 01/28/14 Lesson 2: Median and Mode pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 01/29/14 01/30/14 Continue Lesson 2: Median and Mode pp Lesson 3: Measure of Variation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 01/31/14 Continue Lesson 3: Measure of Variation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] Reference Materials: National Math + Science Initiative (NMSI) 39

40 Pre-AP Mathematics Grade 6 02/03/14 Review : Mid Chapter Check p /04/14 Lesson 4 : Mean Absolute Deviation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/05/14 02/06/14 Continue Lesson 4 : Mean Absolute Deviation pp Lesson 5: Appropriate Measures pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/07/14 Continue Lesson 5: Appropriate Measures pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] Reference Materials: National Math + Science Initiative (NMSI) 40

41 Pre-AP Mathematics Grade 6 02/10/14 NMSI: Measures of Central Tendency and Variability (Module 7 pp ) See Key Teacher for hard copy 02/11/14 02/12/14 NMSI: Measures of Central Tendency and Variability (Module 7 pp ) Review Chapter 11 p See Key Teacher for hard copy 02/13/14 Chapter 11 Assessment *PROGRESS REPORTS GO HOME Available Online at connected.mcgrawhill.com 02/14/14 DISTRICT WIDE PD (NO STUDENTS) Reference Materials: National Math + Science Initiative (NMSI) 41

42 Pre-AP Mathematics Grade 6 02/17/14 PRESIDENTS DAY (Schools & District Offices Closed) 02/18/14 02/19/14 Chapter 12 Statistical Displays Lesson 1: Line Plots pp Introduce Statistical Displays Project Practice #4 (15 minutes) Lesson 2: Histograms pp ACOS:[6.28], [6.29] CCRS: [6-SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] ACOS:[6.28], [6.29] CCRS: [6-SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] Statistical Displays Project See Pacing Guide pp. 02/20/14 Lesson 3: Box Plots pp ACOS:[6.28], [6.29] CCRS: [6-.SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] 02/21/14 Assessment: Mid-Chapter Check p. 890 Reference Materials: National Math + Science Initiative (NMSI) 42

43 Pre-AP Mathematics Grade 6 02/24/14 02/25/14 NMSI: Comparing Boxplots (Module 4 pp ) ACOS:[6.28], [6.29] CCRS: [6-.SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] NMSI: Comparing Boxplots (Module 4 pp ) ACOS:[6.28], [6.29] CCRS: [6-.SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] See Key Teacher for hard copy See Key Teacher for hard copy 02/26/14 Lesson 4: Shape of Data Distributions pp ACOS:[6.28], [6.29] CCRS: [6-SP2],[6-SP5], [6-SP5d] 02/27/14 Continue Lesson 4: Shape of Data Distributions pp ACOS:[6.28], [6.29] CCRS: [6-SP2],[6-SP5], [6-SP5d] 02/28/14 Lesson 5: Interpret Line Graphs pp ACOS: [6.28] CCRS: [6-SP4] Reference Materials: National Math + Science Initiative (NMSI) 43

44 Pre-AP Mathematics Grade 6 03/03/14 Lesson 6: Select an Appropriate Display pp ACOS: [6-28] CCRS: [6-SP4] 03/04/14 *Statistical Display Project Due Review Chapter 12 Chapter 12 Review p /05/14 Chapter 12 Assessment Available Online at connected.mcgrawhill.com 03/06/14 Chapter 6 Expressions Lesson 1: Powers and Exponents pp CCRS: [6-EE1] 03/07/14 Lesson 2: Numerical Expressions pp CCRS: [6-EE1] Reference Materials: National Math + Science Initiative (NMSI) 44

45 Pre-AP Mathematics Grade 6 03/10//14 Lesson 3: Algebra: Variables and Expressions pp CCRS: [6-EE6] 03/11/14 03/12/14 03/13/14 Lesson 4: Algebra: Write Expressions Continue Lesson 4: Algebra: Write Expressions Mid-Chapter Check p. 472 CCRS: [6-EE6] CCRS: [6-EE6] CCRS: [6-EE3] Lesson 5: Algebra: Properties 03/14/14 Continue Lesson 5: Algebra: Properties CCRS: [6-EE3] Reference Materials: National Math + Science Initiative (NMSI) 45

46 Pre-AP Mathematics Grade 6 03/17/14 03/18/14 Lesson 6: The Distributive Property Inquiry Lab pp Lesson 6: The Distributive Property pp CCRS: [6-EE3] CCRS: [6-EE3] [6-EE4] Algebra Tiles (Small group sets) or Available Online at connected.mcgrawhill.com 03/19/14 Lesson 7: Equivalent Expressions pp CCRS: [6-EE2] [6-EE3] [6-EE4] 03/20/14 Chapter 6 Review p /21/14 Chapter 6 Assessment *Spring Break (03-24 through 03-28) CCRS: [6-EE1] [6-EE2] [6-EE3] [6-EE4] [6-EE6] Available Online at connected.mcgrawhill.com Reference Materials: National Math + Science Initiative (NMSI) 46

47 Pre-AP Mathematics Grade 6 ACT Aspire 03/31/14 *Report Cards Go Home Chapter 7 Equations ACOS: [6.16] CCRS: [6-EE5] Inquiry Lab p. 521 Lesson 1: Equations pp /01/14 04/02/14 04/03/14 Lesson 2: Solve and Write Addition Equations pp ACOS: [6.18] CCRS: [6-EE5], [6-EE7] Lesson 3: Solve and Write Subtraction Equations pp Problem-Solving Investigation p. 543 Mid-Chapter Check p.546 ACOS: [6.18] CCSS: [6-EE5], [6-EE7] Inquiry Lab p. 533 Inquiry Lab p /04/14 Lesson 4: Solve and Write Multiplication Equations pp ACOS: [6.3], [6.18] CCRS: [6-RP3], [6-EE5], [6-EE7] Reference Materials: National Math + Science Initiative (NMSI) 47

48 Pre-AP Mathematics Grade 6 ACT Aspire 04/07/14 Lesson 5: Solve and Write Division Equations pp ACOS: [6.16], [6.18] CCRS: [6-EE5], [6-EE7] 04/08/14 Chapter 7 Review p /09/14 Chapter 7 Assessment 04/10/14 Chapter 8 Functions and Inequalities Lesson 1: Function Tables pp ACOS: [6.13], [6.20] CCRS: [6-EE2], [6-EE2c], [6-EE9] 04/11/14 Lesson 2: Function Rules pp Reference Materials: National Math + Science Initiative (NMSI) ACOS: [6.13], [6.20] CCRS: [6-EE2], [6-EE2c], [6-EE9] 48

49 Pre-AP Mathematics Grade 6 ACT Aspire 04/14/14 Lesson 3: Functions and Equations pp ACOS: [6.20] CCRS: [6-EE9] 04/15/14 Lesson 4: Multiple Representations of Functions pp ACOS: [6.20] CCRS: [6-EE9] 04/16/14 Problem-Solving Investigation p /17/14 Mid-Chapter Check p. 614 Inquiry Lab p /18/14 Chapter 8 Assessment: Lessons 1-4 Reference Materials: National Math + Science Initiative (NMSI) 49

50 Pre-AP Mathematics Grade 6 ACT Aspire 04/21/14 Review April 21-May 02, 2014 Equations and Inequalities Chapter 8 Lesson 5: Inequalities pp ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] 04/22/14 04/23/14 Review Equations and Inequalities Chapter 8 Lesson 5: Inequalities pp Review Ratio and Rate Problems ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] 04/24/14 04/25/14 Review Multi-digit numbers, Common Factors and Multiples Review Multiplying and Dividing Fractions Reference Materials: National Math + Science Initiative (NMSI) 50

51 Pre-AP Mathematics Grade 6 ACT Aspire 04/28/14 04/29/14 04/30/14 05/01/14 05/02/14 Review Operations on Decimals Review Integers and the Coordinate Plane *PROGRESS REPORTS GO HOME Review Dependent and Independent Variables Review Area, Surface Area, Volume Review Statistical Variability and Distribution 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards Reference Materials: National Math + Science Initiative (NMSI) 51

52 Pre-AP Mathematics Grade 6 ACT Aspire 05/05/14 05/06/14 05/07/14 05/08/14 05/09/14 Testing May 5-13, 2014 Testing Testing Testing Testing 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards 2.ct.us/wmd/site/files/Gr 6stations.pdf Stations to review all standards Reference Materials: National Math + Science Initiative (NMSI) 52

53 Pre-AP Mathematics Grade 6 ACT Aspire 05/12/14 Testing 05/13/14 Testing 05/14/14 Lesson 6: Write and Graph Inequalities pp ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] 05/15/14 Lesson 7: Solve One-Step Inequalities pp ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] Inquiry Lab p /16/14 p. 645 Chapter 8 Review Reference Materials: National Math + Science Initiative (NMSI) 53

54 Pre-AP Mathematics Grade 6 ACT Aspire 05/19/14 Chapter 8 Assessment Available Online at connected.mcgrawhill.com 05/20/14 05/21/14 Review for Second Semester Exam Review for Second Semester Exam 05/22/14 05/23/14 Second Semester Exam Probability of a Simple Event Probability of Independent Events Glencoe Mathematics Applications and Concepts Course 1 Probability of a Simple Event Chapter 11: Lesson11-1 Theoretical Probability pp Lesson 11-1: p. 623 Reference Materials: National Math + Science Initiative (NMSI) CCRS:[7-SP8] 54 NCTM Illuminations: SKUNK Activity rg/lessondetail.aspx?id= L248

55 Pre-AP Mathematics Grade 6 ACT Aspire 05/26/14 MEMORIAL DAY (Schools & District Offices Closed) 05/27/14 05/28/14 Glencoe Mathematics Applications and Concepts Course 1 Probability of a Simple Event Chapter 11: Lesson11-1 Theoretical Probability pp Lesson 11-1: p. 623 Glencoe Mathematics Applications and Concepts Course 1 Probability of a Simple Event Chapter 11: Lesson11-5 Probability of Independent Events pp , Lesson 11-5: p. 617 CCRS:[7-SP8] CCRS:[7-SP8] Glencoe Mathematics Applications and Concepts Course 1 Glencoe Mathematics Applications and Concepts Course 1 05/29/14 4 TH REPORT PERIOD ENDS REPORT CARDS GO HOME LAST DAY FOR STUDENTS 05/30/14 TEACHER WORK DAY Reference Materials: National Math + Science Initiative (NMSI) 55

56 Pre-AP Mathematics Grade 6 ACT Aspire 06/02/14 (Inclement Weather Day) 06/03/14 (Inclement Weather Day) 06/04/14 06/05/14 06/06/14 Reference Materials: National Math + Science Initiative (NMSI) 56

57 Mathematics Grade 6 First Semester Objectives Teach with an emphasis on the vocabulary of mathematics, real world applications, and appropriate problem solving strategies. Students will be able to: Ratios and Proportional Relationships Understand ratio concepts and use ratio reasoning to solve problems. 1. Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. 2. Understand the concept of a unit rate associated with a/b ratio a:b with b 0, and use rate language in the context of a ratio relationship. 3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. The Number System Apply and extend previous understandings of multiplication and division to divide by fractions. 1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem Compute fluently with multi-digit numbers and find common factors and multiples. 2. Fluently divide multi-digit numbers using the standard algorithm. 3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation 4. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. Apply and extend previous understandings of numbers to the system of rational numbers. 5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts explaining the meaning of 0 in each situation. 6. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. 7. Understand ordering and absolute value of rational numbers. 57

58 8. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6-NS8] Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. [6-G1] 58

59 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 08/19/13 08/20/13 First Semester Begins (First Day for Students) Discuss: course description, expectations (classroom rules and grading), materials and supplies (pencils, loose-leaf paper, graph paper, folders, etc.), and notebook organization Course Diagnostic Test Available Online at connected.mcgrawhill.com 08/21/13 08/22/13 08/23/13 Review Diagnostic Test Overview of textbook and online resources Overview of textbook and online resources Reference Materials: National Math + Science Initiative ( NMSI) 59

60 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 08/26/13 Chapter 1 Ratios and Rates Lesson 1: Factors and Multiples pp ACOS: [6.7] CCRS: [6-NS4] Inquiry Lab p /27/13 Continue Lesson 1: Factors and Multiples pp ACOS: [6.7] CCRS: [6-NS4] Inquiry Lab p /28/13 Chapter 4 Lesson 5: Convert Measurement Units (by Using Ratios) pp ACOS:[6.3],[6.3d] CCRS: [6-RP3], [6-RP3d] 08/29/13 Lesson 3: Rates pp ACOS: [6.2], [6.3], [6.3b] CCRS: [6-RP1], [6-RP3], [6-RP3b] 08/30/13 Continue Lesson 3: Rates pp ACOS: [6.2], [6.3], [6.3b] CCRS: [6-RP1], [6-RP3], [6-RP3b] Reference Materials: National Math + Science Initiative ( NMSI) 60

61 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/02/13 Labor Day/No School (Schools & District Offices Closed) 09/03/13 Lesson 4: Ratio Tables pp ACOS: [6.2], [6.3], [6.3b] CCRS: [6-RP1], [6-RP3], [6-RP3b] 09/04/13 Assessment: Mid-Chapter Check p.58 09/05/13 Lesson 5: Graph Ratio Tables pp ACOS: [6.3], [6.3a] CCRS: [6-RP3], [6-RP3a] 09/06/13 Lesson 6: Equivalent Ratios pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] Reference Materials: National Math + Science Initiative ( NMSI) 61

62 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/09/13 Continue Lesson 6: Equivalent Ratios pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] 09/10/13 Lesson 7: Ratio and Rate Problems pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] 09/11/13 Lesson 7: Ratio and Rate Problems pp ACOS: [6.3], [6.3b] CCRS: [6-RP3], [6-RP3b] Inquiry Lab pp /12/13 Chapter 1 Review p. 81 Available Online at connected.mcgrawhill.com 09/13/13 Chapter 1 Assessment Reference Materials: National Math + Science Initiative ( NMSI) 62

63 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/16/13 Chapter 2 Fractions, Decimals and Percents Lesson 1: Decimals and Fractions pp ACOS: [6.3C] CCRS: [6-RP3C] 09/17/13 Continue Lesson 1: Decimals and Fractions pp ACOS: [6.3C] CCRS: [6-RP3C] 09/18/13 09/19/13 Lesson 2: Percents and Fractions pp (MIDPOINT) Lesson 3: Percents and Decimals pp ACOS: [6.3C] CCRS: [6-RP3C] ACOS: [6.3C] CCRS: [6-RP3C] 09/20/13 Continue Lesson 3: Percents and Decimals pp ACOS: [6.3C] CCRS: [6-RP3C] *PROGRESS REPORTS GO HOME Reference Materials: National Math + Science Initiative ( NMSI) 63

64 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 09/23/13 Lesson 4: Percents Greater than 100% and Percents Less than 1% pp ACOS: [6.3C] CCRS: [6-RP3C] 09/24/13 Review Assessment: Mid-Chapter Check p.128 (MID-POINT) 09/25/13 09/26/13 09/27/13 Lesson 5: Compare and Order Fractions, Decimals and Percents pp Continue Lesson 5: Compare and Order Fractions, Decimals and Percents pp Lesson 6: Estimate with Percents pp ACOS: [6.3C] CCRS: [6-RP3C] ACOS: [6.3C] CCRS: [6-RP3C] ACOS: [6.3C] CCRS: [6-RP3], [6-RP3C] Reference Materials: National Math + Science Initiative ( NMSI) 64

65 Mathematics Grade 6 09/30/13 Lesson 7: Percent of a Number p ACOS: [6.3C] CCRS: [6-RP3], [6-RP3C] 10/01/13 Lesson 8: Solve Percent Problems pp /02/13 * Practice Test #1 (15 minutes) Chapter 2 Review p /03/13 10/04/13 Chapter 2 Assessment Chapter 3 Compute with Multi-Digit Numbers Lesson 1: Add and Subtract Decimals pp ACOS: [6.6] CCRS: [6-NS3] Reference Materials: National Math + Science Initiative ( NMSI) 65

66 Mathematics Grade 6 10/07/13 Lesson 2: Estimate Products pp ACOS: [6.6] CCRS: [6-NS3] 10/08/13 10/09/13 10/10/13 Lesson 3: Multiply Decimals by Whole Numbers pp Lesson 4: Multiply Decimals by Decimals pp *Important Include Look for a Pattern on p Review Assessment: Mid-Chapter Check p. 214 ACOS: [6.6] CCRS: [6-NS3] ACOS: [6.6] CCRS: [6-NS3] 10/11/13 Lesson 5: Divide Multi-Digit Numbers pp ACOS: [6.5] CCRS: [6-NS2] Reference Materials: National Math + Science Initiative ( NMSI) 66

67 Mathematics Grade 6 10/14/13 Lesson 6: Estimate Quotients pp ACOS: [6.5] CCRS: [6-NS2] 10/15/13 10/16/13 Lesson7: Divide Decimals by Whole Numbers pp Lesson 8: Divide Decimals by Decimals pp ACOS: [6.5] CCRS: [6-NS2] ACOS: [6.5] CCRS: [6-NS2] 10/17/13 Chapter 3 Review p /18/13 Chapter 3 Assessment Reference Materials: National Math + Science Initiative ( NMSI) 67

68 Mathematics Grade 6 10/21/13 Chapter 4 Multiply and Divide Fractions Lesson 1:Estimate Products of Fractions pp (2 ND REPORT PERIOD BEGINS) ACOS: [6.4] CCRS: [6-NS1] 10/22/13 Lesson 2: Multiply Fractions and Whole Numbers pp ACOS: [6.4] CCRS: [6-NS1] 10/23/13 Lesson 3: Multiply Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/24/13 Lesson 4: Multiply Mixed Numbers pp ACOS: [6.4] CCRS: [6-NS1] 10/25/13 **Teacher Work Day (No Students) Reference Materials: National Math + Science Initiative ( NMSI) 68

69 Mathematics Grade 6 10/28/13 Assessment: Mid-Chapter Check p /29/13 10/30/13 **Report Cards Go Home (Early Dismissal for Students) Online Mathematics Department Resources Lesson 6: Divide Whole Numbers by Fractions pp ACOS: [6.4] CCRS: [6-NS1] 10/31/13 Lesson 7: Divide Fractions pp ACOS: [6.4] CCRS: [6-NS1] 11/01/13 Lesson 8: Divide Mixed Numbers pp ACOS [6.4] CCRS [6-NS1] Reference Materials: National Math + Science Initiative ( NMSI) 69

70 Mathematics Grade 6 11/04/13 Chapter 4 Review 11/05/13 11/06/13 11/07/13 Chapter 4 Assessment Practice #2 (15 minutes) Chapter 5 Integers and the Coordinate Plane Inquiry Lab: Integers pp Lesson 1: Integers and Graphing pp ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] 11/08/13 Continue Lesson 1: Integers and Graphing pp ACOS: [6.8], [6.9], [6.9a], [6.9c] CCRS: [6-NS5], [6-NS6], [6-NS6a], [6-NS6c] Reference Materials: National Math + Science Initiative ( NMSI) 70

71 Mathematics Grade 6 (ACOS)\Common Core State Standards (CCRS) 11/11/13 Veterans Day (Schools & District Offices Closed) 11/12/13 11/13/13 11/14/13 11/15/13 Lesson 2: Absolute Value pp Inquiry Lab: Absolute Value pp Continue Lesson 2: Absolute Value pp Lesson 3: Compare and Order Integers pp Continue Lesson 3: Compare and Order Integers pp ACOS: [6.9],[6.9a], [6.10] CCRS: [6-NS6], [6-NS7c], [6-NS7d] ACOS: [6.9],[6.9a], [6.10] CCRS: [6-NS6], [6-NS7c], [6-NS7d] ACOS: [6.9], [6.10] CCRS: [6-NS7], [6-NS7a], [6-NS7b], [6-NS7d] ACOS: [6.9], [6.10] CCRS: [6-NS7], [6-NS7a], [6-NS7b], [6-NS7d] Reference Materials: National Math + Science Initiative ( NMSI) 71

72 Mathematics Grade 6 11/18/13 Lesson 4: Terminating and Repeating Decimals pp (ACOS)\Common Core State Standards (CCRS) ACOS: [6.10] CCSS:[6-NS7a] 11/19/13 11/20/13 11/21/13 Continue Lesson 4: Terminating and Repeating Decimals pp Lesson 5: Compare and Order Rational Numbers pp Lesson 6: The Coordinate Plane pp *Introduce Creative Coordinate Design Project ACOS: [6.10] CCSS:[6-NS7a] ACOS:[6.9], [6.9c], [6.10a-b] CCRS: [6-NS6], [6-NS6c], [6-NS7], [6-NS7a], [6- NS7b] ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] 11/22/13 Lesson 7: Graph on the Coordinate Plane pp *PROGRESS REPORTS GO HOME ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] Reference Materials: National Math + Science Initiative ( NMSI) 72

73 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 11/25/13 11/26/13 11/27/13 11/28/13 Continue Lesson 7: Graph on the Coordinate Plane pp Inquiry Lab: Find Distance on the Coordinate Plane Creative Coordinate Design Project Presentations THANKSGIVING HOLIDAY (Schools & District Offices Closed) THANKSGIVING HOLIDAY (Schools & District Offices Closed) ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6NS6b], [6-NS6c] ACOS: [6.9], [6.9b], [6.9c] CCRS: [6-NS6], [6-NS6b], [6-NS6c] 11/29/13 THANKSGIVING HOLIDAY (Schools & District Offices Closed) Reference Materials: National Math + Science Initiative ( NMSI) 73

74 Mathematics Grade 6 ALABAMA COURSE OF STUDY (ACOS)\College and Career Ready Standards (CCRS) 12/02/13 Chapter 5 Review p /03/13 12/04/13 12/05/13 12/06/13 Chapter 5 Assessment NMSI- The Cheapest Gas Line NMSI- The Cheapest Gas Line NMSI- The Cheapest Gas Line See Key Teacher for hard copy See Key Teacher for hard copy s.org/ See Key Teacher for hard copy Reference Materials: National Math + Science Initiative ( NMSI) 74

75 Mathematics Grade 6 12/09/13 Review Chapters 1-2 Use math games and various manipulatives to review 12/10/13 Review Chapters 3-4 Use math games and various manipulatives to review 12/11/13 Review Chapters 5 Available Online at connected.mcgrawhill.com 12/12/13 Semester Exam Teacher Made 12/13/13 Semester Exam Make-Up Teacher Made *ISSUE TEXTBOOK VOLUME 2 Reference Materials: National Math + Science Initiative ( NMSI) 75

76 Mathematics Grade 6 12/16/13 12/17/13 BEGIN: TEXTBOOK VOLUME 2 Chapter 9 Area Inquiry Lab pp Lesson 1: Area of Parallelograms pp ACOS: [6.21] CCRS: [6-G1] ACOS: [6.21] CCRS: [6-G1] 12/18/13 Inquiry Lab pp ACOS: [6.21] CCRS: [6-G1] 12/19/13 Lesson 2: Area of Triangles pp CCRS: [6-G1] 12/20/13 (2 ND REPORT PERIOD ENDS) Lesson 2: Area of Triangles pp Last day for Students December 23 January 3 (Students Christmas Holidays) Reference Materials: National Math + Science Initiative ( NMSI) 76

77 Mathematics Grade 6 Birmingham City Schools Mathematics Grade 6 Second Semester Objectives Students will be able to: Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 2. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 3. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 4. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. 5. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. Statistics and Probability Develop understanding of statistical variability. 1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. 2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. 3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Summarize and describe distributions. 77

78 Mathematics Grade 6 4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 5. Summarize numerical data sets in relation to their context. Expressions and Equations Apply and extend previous understandings of arithmetic to algebraic expressions. 1. Write and evaluate numerical expressions involving whole-number exponents. 2. Write, read, and evaluate expressions in which letters stand for numbers. 3. Apply the properties of operations to generate equivalent expressions. 4. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). Reason about and solve one-variable equations and inequalities. 5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 6. Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. 7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. 8. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. Represent and analyze quantitative relationships between dependent and independent variables.. 9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation 78

79 Mathematics Grade 6 01/06/14 01/07/14 NMSI-CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles *3 RD REPORT PERIOD BEGINS NMSI - CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] See Key Teacher for hard copy See Key Teacher for hard copy 01/08/14 01/09/14 *REPORT CARDS GO HOME NMSI - CanYou Hand le This Area? Or Perimeter and Area of Triangles and Rectangles Lesson 3: Area of Trapezoids pp ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] CCRS: [6-G1] See Key Teacher for hard copy Inquiry Lab pp /10/14 Lesson 3: Area of Trapezoids pp CCRS: [6-G1] 79 Reference Materials: National Math + Science Initiative (NMSI)

80 Mathematics Grade 6 01/13/14 Mid-Chapter Check: p. 696 Lesson 4: Changes in Dimension pp ACOS: [6.21] CCRS: [6-G1] 01/14/14 Lesson 5: Polygons of the Coordinate Plane pp ACOS: [6.23], [6.11] CCRS: [6-G3], [6-NS8] 01/15/14 01/16/14 Lesson 6: Area of Composite Figures pp Chapter 9 Review ACOS: [6.21] CCRS: [6-G1] 01/17/14 Chapter 9 Assessment Available Online at connected.mcgrawhill.com 80 Reference Materials: National Math + Science Initiative (NMSI)

81 Mathematics Grade 6 01/20/14 01/21/14 01/22/14 01/23/14 Dr. Martin Luther King, Jr. Day (Schools & District Offices Closed) Chapter 10 Volume and Surface Area Lesson 1: Volume of Rectangular Prisms * Practice #3 (15 minutes) Continue Lesson 1: Volume of Rectangular Prisms Finding Missing Dimensions pp Lesson 2: Volume of Triangular Prisms pp ACOS: [6.22] CCRS: [6-G2] ACOS: [6.22] CCRS: [6-G2] ACOS: [6.22] CCRS: [6-G2] 01/24/14 Lesson 2: Volume of Triangular Prisms pp ACOS: [6.22] CCRS: [6-G2] 81 Reference Materials: National Math + Science Initiative (NMSI)

82 Mathematics Grade 6 01/27/14 Lesson 3: Surface Area of Rectangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/28/14 Continue Lesson 3: Surface Area of Rectangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/29/14 Assessment: Mid-Chapter Check p /30/14 Lesson 4: Surface Area of Triangular Prisms pp ACOS: [6.24] CCRS: [6-G2] 01/31/14 Lesson 5: Surface Area of Pyramids pp ACOS: [6.24] CCRS: [6-G2] 82 Reference Materials: National Math + Science Initiative (NMSI)

83 Mathematics Grade 6 02/03/14 Chapter 10 Review p /04/14 Chapter 10 Assessment Available Online at connected.mcgrawhill.com 02/05/14 Chapter 11 Statistical Measures Lesson 1: Mean pp ACOS: [6.27] CCRS: [6-SP3] 02/06/14 Lesson 2: Median and Mode pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/07/14 Continue Lesson 2: Median and Mode pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 83 Reference Materials: National Math + Science Initiative (NMSI)

84 Mathematics Grade 6 02/10/14 Lesson 3: Measure of Variation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/11/14 Continue Lesson 3: Measure of Variation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] Review : Mid Chapter Check p /12/14 Lesson 4 : Mean Absolute Deviation pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/13/14 02/14/14 Continue Lesson 4 : Mean Absolute Deviation pp *PROGRESS REPORTS GO HOME DISTRICT WIDE PD (NO STUDENTS) ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 84 Reference Materials: National Math + Science Initiative (NMSI)

85 Mathematics Grade 6 02/17/14 PRESIDENTS DAY (Schools & Offices Closed) 02/18/14 Lesson 5: Appropriate Measures pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/19/14 Practice #4 (15 minutes) Continue Lesson 5: Appropriate Measures pp ACOS: [6.27], [6.29] CCRS: [6-SP3], [6-SP5], [6-SP5b], [6-SP5c] 02/20/14 02/21/14 NMSI: Measures of Central Tendency and Variability (Module 7 pp ) NMSI: Measures of Central Tendency and Variability (Module 7 pp ) See Key Teacher for hard copy See Key Teacher for hard copy 85 Reference Materials: National Math + Science Initiative (NMSI)

86 Mathematics Grade 6 02/24/14 Review Chapter 11 p /25/14 Chapter 11 Assessment Available Online at connected.mcgrawhill.com 02/26/14 * Practice #4 (15 minutes) Chapter 12 Statistical Displays ACOS:[6.28], [6.29] CCRS: [6-SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] Statistical Displays Project Lesson 1: Line Plots pp Introduce Statistical Displays Project 02/27/14 Lesson 2: Histograms pp ACOS:[6.28], [6.29] CCRS: [6-SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] 02/28/14 Lesson 2: Histograms pp ACOS:[6.28], [6.29] CCRS: [6-SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] 86 Reference Materials: National Math + Science Initiative (NMSI)

87 Mathematics Grade 6 03/03/14 NMSI- Histograms See Key Teacher for hard copy 03/04/14 NMSI- Histograms See Key Teacher for hard copy 03/05/14 Lesson 3: Box Plots pp ACOS:[6.28], [6.29] CCRS: [6-.SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] 03/06/14 Lesson 3: Box Plots pp ACOS:[6.28], [6.29] CCRS: [6-.SP4], [6-SP5], [6-SP5a],[6-SP5b],[6-SP5c] 03/07/14 Assessment: Mid-Chapter Check p Reference Materials: National Math + Science Initiative (NMSI)

88 Mathematics Grade 6 03/10//14 Lesson 4: Shape of Data Distributions pp ACOS:[6.28], [6.29] CCRS: [6-SP2],[6-SP5], [6-SP5d] 03/11/14 Lesson 5: Interpret Line Graphs pp ACOS: [6.28] CCRS: [6-SP4] 03/12/14 Lesson 6: Select an Appropriate Display pp ACOS: [6-28] CCRS: [6-SP4] 03/13/14 *Statistical Display Project Due Review Chapter 12 Chapter 12 Review p /14/14 Chapter 12 Assessment Available Online at connected.mcgrawhill.com 88 Reference Materials: National Math + Science Initiative (NMSI)

89 Mathematics Grade 6 03/17/14 Chapter 6 Expressions Lesson 1: Powers and Exponents pp CCRS: [6-EE1] 03/18/14 Lesson 2: Numerical Expressions pp CCRS: [6-EE1] 03/19/14 Lesson 3: Algebra: Variables and Expressions pp CCRS: [6-EE6] 03/20/14 Lesson 4: Algebra: Write Expressions CCRS: [6-EE6] 03/21/14 Continue Lesson 4: Algebra: Write Expressions *Spring Break (03-24 through 03-28) CCRS: [6-EE6] 89 Reference Materials: National Math + Science Initiative (NMSI)

90 Mathematics Grade 6 03/31/14 *Report Cards Go Home Mid-Chapter Check p. 472 CCRS: [6-EE3] Lesson 5: Algebra: Properties 04/01/14 Continue Lesson 5: Algebra: Properties CCRS: [6-EE3] 04/02/14 04/03/14 Lesson 6: The Distributive Property Inquiry Lab pp Continue Lesson 6: The Distributive Property pp CCRS: [6-EE3] CCRS: [6-EE3] [6-EE4] Algebra Tiles (Small group sets) or Available Online at connected.mcgrawhill.com 04/04/14 Lesson 7: Equivalent Expressions pp CCRS: [6-EE2] [6-EE3] [6-EE4] 90 Reference Materials: National Math + Science Initiative (NMSI)

91 Mathematics Grade 6 04/07/14 Chapter 6 Review p /08/14 04/09/14 Chapter 6 Assessment Lesson 1: Equations pp Chapter 7 Equations CCRS: [6-EE1] [6-EE2] [6-EE3] [6-EE4] [6-EE6] ACOS: [6.16] CCRS: [6-EE5] Available Online at connected.mcgrawhill.com Inquiry Lab p /10/14 Lesson 2: Solve and Write Addition Equations pp ACOS: [6.18] CCRS: [6-EE5], [6-EE7] Inquiry Lab p /11/14 Lesson 3: Solve and Write Subtraction Equations pp ACOS: [6.18] CCRS: [6-EE5], [6-EE7] 91 Reference Materials: National Math + Science Initiative (NMSI)

92 Mathematics Grade 6 04/14/14 Problem-Solving Investigation p. 543 Mid-Chapter Check p.546 Inquiry Lab p /15/14 Lesson 4: Solve and Write Multiplication Equations pp ACOS: [6.3], [6.18] CCRS: [6-RP3], [6-EE5], [6-EE7] 04/16/14 Lesson 5: Solve and Write Division Equations pp ACOS: [6.16], [6.18] CCRS: [6-EE5], [6-EE7] 04/17/14 Chapter 7 Review p /18/14 Chapter 7 Assessment 92 Reference Materials: National Math + Science Initiative (NMSI)

93 Mathematics Grade 6 04/21/14 04/22/14 04/23/14 04/24/14 04/25/14 Review April 21-May 02, 2014 Equations and Inequalities Chapter 8 Lesson 5: Inequalities pp Review Equations and Inequalities Chapter 8 Lesson 5: Inequalities pp Review Ratio and Rate Problems Review Multi-digit numbers, Common Factors and Multiples Review Multiplying and Dividing Fractions ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf 93 Reference Materials: National Math + Science Initiative (NMSI) Stations to review all standards

94 Mathematics Grade 6 04/28/14 Review Operations on Decimals y.k12.ct.us/wmd/site /files/gr6stations.pdf 04/29/14 04/30/14 05/01/14 05/02/14 Review Integers and the Coordinate Plane *PROGRESS REPORTS GO HOME Review Dependent and Independent Variables Review Area, Surface Area, Volume Review Statistical Variability and Distribution Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards y.k12.ct.us/wmd/site /files/gr6stations.pdf Stations to review all standards 94 Reference Materials: National Math + Science Initiative (NMSI)

95 Mathematics Grade 6 05/05/14 Testing May 5-13, /06/14 Testing 05/07/14 Testing 05/08/14 Testing 05/09/14 Testing 95 Reference Materials: National Math + Science Initiative (NMSI)

96 Mathematics Grade 6 05/12/14 Testing 05/13/14 Testing 05/14/14 Lesson 6: Write and Graph Inequalities pp ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] 05/15/14 Lesson 7: Solve One-Step Inequalities pp ACOS: [6.16], [6.19] CCRS: [6-EE5], [6-EE8] Inquiry Lab p /16/14 p. 645 Chapter 8 Review 96 Reference Materials: National Math + Science Initiative (NMSI)

97 Mathematics Grade 6 05/19/14 Chapter 8 Assessment Available Online at connected.mcgrawhill.com 05/20/14 Review for Second Semester Exam 05/21/14 Review for Second Semester Exam 05/22/14 Second Semester Exam 05/23/14 Probability of a Simple Event Probability of Independent Events CCRS:[7-SP8] NCTM Illuminations: SKUNK Activity ctm.org/lessondetail.aspx?id=l Reference Materials: National Math + Science Initiative (NMSI)

98 Mathematics Grade 6 05/ /27/14 05/28/14 MEMORIAL DAY (Schools & District Offices Closed) Theoretical Probability Theoretical Probability CCRS:[7-SP8] CCRS:[7-SP8] 05/29/14 4 TH REPORT PERIOD ENDS REPORT CARDS GO HOME LAST DAY FOR STUDENTS 05/30/14 TEACHER WORK DAY 98 Reference Materials: National Math + Science Initiative (NMSI)

99 Mathematics Grade 6 06/0214 (Inclement Weather Day) 06/03/14 (Inclement Weather Day) 06/04/14 06/05/14 06/06/14 99 Reference Materials: National Math + Science Initiative (NMSI)

100 TESTING TIPS FOR STUDENTS Understand how to identify clue words in the context of mathematics 1. Clue words for addition: o o o o o In all Altogether Sum Total How much 2. Clue words for subtraction: o o o Difference How much more than Less 3. Clue words for multiplication: o o o Product Total Altogether 4. Clue words for division: o o o o o Equally Average Separate into Quotient Each 100 Reference Materials: National Math + Science Initiative (NMSI)

101 TESTING TIPS FOR STUDENTS Important Tips Before the Tests 1. Get a good night s sleep. 2. Eat breakfast the day of the test. 3. Allow enough time at home, the morning of the test, for getting dressed, eating breakfast, and getting to school on time, so as not to feel rushed, or to be tardy. 4. Keep a good attitude: "I think I can, I think I can!" 5. Make up your mind to do your best! Important Tips During the Tests 1. Focus on the task you are about to begin. 2. Listen to the teacher as directions are given. 3. Carefully read and follow all test directions. 4. Look for key words that will help in deciding what the questions are asking. 5. Be complete in answering questions that require more than one answer. 6. Be complete and use complete sentences when writing essay answers. 7. Work at a steady pace not too quickly and not too slowly. 8. Skip answers you are unsure of and go back to them later in the test. 9. Fill in answer bubbles neatly, darkly, and completely. If you finish early, go back and carefully check your work. 101 Reference Materials: National Math + Science Initiative (NMSI)

102 National Math + Science Initiative (NMSI) Minimum Instructional Units for Grade 6 The Completion of the listed Instructional Units is minimum requirements for the Pre-AP Sixth Grade Mathematics course. The units are available online with a login and password at or see your Key Teacher for a hard copy. Date NMSI Lesson Level November 18, 2013 Perimeter and Area of Triangles and Rectangles (*Optional Resource) Grade 6 Pre- AP December 2-3, 2013 The Cheapest Gas Line Pre-AP December 4-6, 2013 The Cheapest Gas Line Grade 6 Grade 6 Pre-AP January 6-8, 2014 Can You Hand le This Area? Or Perimeter and Area of Triangles and Rectangles January 21-22, 2014 Surface Area and Volume Pre-AP February 10-11, 2014 February 20-21, 2014 Measures of Central Tendency and Variability Measures of Central Tendency and Variability (*Optional Resource) Pre-AP Grade 6 February 24-25, 2014 Comparing Boxplots Pre-AP March 3-4, 2014 Histograms Grade Reference Materials: National Math + Science Initiative (NMSI)

103 Suggestions for Grade 6 NMSI /LTF Units DIRECTTIONS TO ACCESS NMSI ACTIVITIES: 1. by using your username and password 2. Select Mathematics 3. Lessons and Overviews: Select Middle Grades 4. Press Ctrl f simultaneously; locate the find box in the top left corner; type the name of the lesson and it will appear; 5. Double click the lesson title then open the document. 1. Fluency with the operations of multi digit numbers Minimizing Debt 2. Understanding Ordering and Operations with Positive and Negative Rational Numbers Negative Exponents 3. Multiplication and division of Fractions and decimals Area Model for Multiplication of Fractions 4. Ratio and Rate with positive and negative numbers The Cheapest Gas Line Cereal Math Interpreting Distance Graphs Fire Trucks, Sky Divers, and Softball- An introduction to Related Rates Road Trip Rating the Trip 5. Graphing Points Coordinate Plane and Interpreting graphs Limits of Numbers Functions: Show the Graph Sketch My Graph Rate Graphs Pictures and Transformations Metric and Customary (English) Measurements 103 Reference Materials: National Math + Science Initiative (NMSI)

104 6. Area, Surface Area and Volume A Shoe Print, Trapezoids and Area Can you Hand-le this Area? Discovering Area Box it Up Area Under the Curve Surface Area and Volume Nets for a cube Unit Dog Triangle Area Activity There is a Hole in the Bucket, Dear Liza, Dear Liza The Biggest Area Perimeter and Area for a Triangle Polygons in a Circle The Index Card 7. Equations, Inequalities and Solving Equations including the Distributive Property Working with Formulas 8. Probability and Statistics Homerun, Statistics and Probability Histograms Discovering the Golden Ratio Counting Ursus Arcots Horribilis, The Grizzly Bear Getting to Know You Stem and Leaf Plots What Percent of the Earth is covered by Water Measuring curves The Passing Game Bulls Eye 104 Reference Materials: National Math + Science Initiative (NMSI)

105 Creative Coordinates Design By: Deborah Cammack (1) Materials: graph paper, ruler, pencil, eraser, colored pencils or crayons. Directions: 1. Turn graph paper landscape, 11 x Study the ordered pairs listed below, so you can decide the appropriate numbers you ll need on each axis. 3. Answer the following questions: What is the greatest number you ll need on the x-axis? What is the least number you ll need on the x-axis? What is the greatest number you ll need on the y-axis? What is the least number you ll need on the y-axis? 4. Label the axes. 5. Label the quadrants and for each quadrant show whether the x and y coordinates are positive or negative. 6. Plot a point for each ordered pair and label it with the appropriate item number (example: 1,2,3, 23,24,25) 7. Use a ruler to connect each point. 8. Color the design. 9. Give the design a unique title. 10. Have fun! Part I 1. (13,7) 2. (15,5) 3. (16,2) 4. (15,0) 5. (13,-2) 6. (13, -11) 7. (10,-11) 8. (10,-3) 9. (7,-4) 10. (3,-6) 11. (0,-8) 12. (-3,-10) 13. (-4,-11) 14. (-15,-11) 15. (-17,-10) 16. (-18,-8) 17. (-16,-6) 18. (-13,-5) 19. (-7,-4) 20. (-3,-3) 21. (0,-1) 22. (3,1) 23. (6,3) 24. (9,5) 25. (13,7) Connect points Part II Plot points (13,-10) (10,-10). Then connect. Part III Connect points (-3,-10) and (-17,-10) 105 Reference Materials: National Math + Science Initiative (NMSI)

106 Creative Coordinates Design By: Deborah Cammack (2) Materials: graph paper, ruler, pencil, eraser, colored pencils or crayons. Directions: 1. Turn graph paper landscape, 11 x Study the ordered pairs listed below, so you can decide the appropriate numbers you ll need on each axis. 3. Answer the following questions: What is the greatest number you ll need on the x-axis? What is the least number you ll need on the x-axis? What is the greatest number you ll need on the y-axis? What is the least number you ll need on the y-axis? 4. Label the axes. 5. Label the quadrants and for each quadrant show whether the x and y coordinates are positive or negative. 6. Plot a point for each ordered pair and label it with the appropriate item number (example: 1,2,3, 23,24 etc.) 7. Use a ruler to connect each point. 8. Color the design. 9. Give the design a unique title. 10. Have fun! Part I 1. (13,8) 2. (14,7) 3. (15,5) 4. (16,4) 5. (17,1) 6. (16,-2) 7. (17,-4) 8. (16,-5) 9. (-15,-5) 10. (-17,-4) 11. (-18,-3) 12. (-19,-2) 13. (-19,-1) 14. (-18,0) 15. (-16,1) 16. (-13,2) 17. (-10,3) 18. (-6,5) 19. (-3,6) 20. (4,7) 21. (7,6) 22. (9,6) 23. (11,7) 24. (13,8) Connect points Part II 25. (14,7) 26. (13,6) 27. (12,5) 28. (9,4) 29. (5,5) 30. (3,7) Connect points Part III 31. (15,5) 32. (13,3,) 33. (10,1) 34, (8,0) 35. (5,-1) 36. (2,-2) 37. (-2,-3) 38. (-6,-2) 39. (-7,-1) 40. (-8,0) 41. (-7,2) 42. (-6,3) 43. (-4,4) 44. (-2,5) 45. (-1,5) 46. (-2,4) 47. (-3,3) 48. (-3,1) 49. (0,0) 50. (3,0) 51. (6,1) 52. (9,2) 53. (12,3) 54. (13,4) 55. (14,5) Connect points Part IV 106 Reference Materials: National Math + Science Initiative (NMSI)

107 Chapter 12 ~ Statistical Displays 56. (16,-2) 57. (14,-3) 58. (7,-4) 59. (-17,-4) Connect points Statistical Displays Project Guidelines Created by: Deborah E. Cammack Use actual students data to create statistical displays. Using the actual test scores from Chapter 11 ~ Statistical Measures, randomly place students scores in the table. Teacher Note: The classroom teacher is to randomly place scores in the table to maintain student confidentiality. Student Note: Students are required to show evidence of calculating the measures of center and the measures of variation. Students calculate the measures of center: (Lessons 11-1 & 11-2) Mean Median Mode Students calculate the measures of variation: (Lesson 11-3) Range First Quartile Third Quartile IQR (Interquartile Range) Outlier Using graph paper, students create a Frequency Table then a Line Plot of their classes Test Scores. (Lesson 12-1) Using graph paper, students create a Histogram of their classes Test Scores. (Lesson 12-2) Using graph paper, students create a Box Plot of their classes Test Scores. (Lesson 12-3) Students write a statement describing the Shape of Data Distribution. The use of the following terms are required: cluster, gap, peak, symmetry (Lesson 12-4) Extending the project: Students may complete all of the above project components for a combination of ALL sixth grade classes to present an overall statistical display for the sixth graders at your school. 107 Reference Materials: National Math + Science Initiative (NMSI)

108 Chapter 12 ~ Statistical Displays Name Class Date SCORES for Class original SCORES for Class working list SCORES for Class working list Measures of Center Mean Answers Median Mode Measures of Variation Answers Range First Quartile Third Quartile IQR (Interquartile Range) Outlier Displays Check List Frequency Table Line Plot Histogram Box Plot Statement describing the Shape of Data Distribution. 108 Reference Materials: National Math + Science Initiative (NMSI)

109 SCORES for Class original con t SCORES for Class working list con t SCORES for Class working list con t 109

110 Exit Ticket Name Class Date Topic Exit Ticket Name Class Date Topic Exit Ticket Name Class Date Topic 110

111 111

112 112