Gary School Community Corporation Mathematics Department Unit Document. Unit Number: 5 Grade: 7
|
|
- Asher Fields
- 6 years ago
- Views:
Transcription
1 Gary School Community Corporation Mathematics Department Unit Document Unit Number: 5 Grade: 7 Unit Name: Equations and Inequalities Duration of Unit: Days UNIT FOCUS Standards for Mathematical Content 7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems. 7.AF.1: Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions, including situations that involve factoring (e.g., given 2x - 10, create an equivalent expression 2(x - 5)). Justify each step in the process. 7.AF.3: Solve inequalities of the form px +q (> or ) r or px + q (< or ) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem. 7.AF.4: Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change. 7.AF.5: Graph a line given its slope and a point on the line. Find the slope of a line given its graph. 7.AF.6: Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin). 7.AF.8: Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate. Standard Emphasis Critical Important Additional Vertical Articulation documents for K 2, 3 5, and 6 8 can be found at: (scroll to bottom)
2 7.AF.9: Identify real-world and other mathematical situations that involve proportional relationships. Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the line. Mathematical Process Standards: PS.1: Make sense of problems and persevere in solving them. PS.2: Reason abstractly and quantitatively PS.3: Construct viable arguments and critique the reasoning of others PS.4: Model with mathematics PS.5: Use appropriate tools strategically PS.6: Attend to Precision PS.7: Look for and make use of structure PS.8: Look for and express regularity in repeated reasoning Big Ideas/Goals Students will solve real-life and mathematical problems using numerical and algebraic expressions and equations. Essential Questions/ Learning Targets How are equations and inequalities used for solving realworld or mathematical problems? I Can Statements I can use a variable to represent an unknown quantity. I can write a simple algebraic equation of the form px + q=r where (p, q, and r) are specific numbers to represent a real -world problem. I can use inverse operations and the properties of equality to solve word problems leading to equations of the form px + q = r where p, q, and r are specific numbers. I can use inverse operations and the properties of equality to solve word problems leading to equations of the form p(x Revised July q) = r where p, q, and r are specific numbers. I can compare the algebraic solution to an arithmetic solution. 2
3 Students will use properties of How can the properties of operations to generate equivalent operations be used to transform expressions. linear expressions? I can apply the properties of operations as strategies to add linear expressions with rational coefficients. I can apply the properties of operations as strategies to subtract linear expressions with rational coefficients. I can apply the properties of operations as strategies to factor linear expressions with rational coefficients. I can apply the properties of operations as strategies to expand linear expressions with rational coefficients. Students will solve real-life and mathematical problems using numerical and algebraic expressions and equations. How are equations and inequalities used for solving realworld or mathematical problems? I can write a simple algebraic inequality in the form px+q=r where (p, q, and r) are specific numbers to represent a real-world problem. I can use inverse operations and the properties of inequality to solve word problems leading to inequalities of the form px + q > r where p, q, and r are specific numbers I can useinverse operations and the properties of inequalities of the form px + q < r where p, q, and r are specific numbers. I can use inverse operations and the properties of I can interpret the solution set in relation to the problem. Students will understand the connections between proportional relationships, lines, and linear equations. What are multiple ways to compare two different proportional relationships? I can define the slope as a vertical change per unit of its horizontal change. I can recognize that a straight line has constant slope or rate of change. I can demonstrate a rate as a measure of one quantity with respect to another quantity. I can find the slope of line from its graph. I can graph a line given the slope and one point on the line. I can graph a line given two points on the line. Students will analyze proportional relationships and How can ratios of fractions and quantities measured in like or I can determine if two quantities are proportional using a variety of 3
4 use them to solve a variety of real-world and mathematical problems. different units be expressed as unit rates? How can proportional relationships be represented? methods (table, graphs, diagrams, equations, or verbal description). I can represent proportional relationship in an equation. Students will graph proportional relationships and understand the unit rate informally as a measure of the steepness of the related line, called the slope. Students will analyze proportional relationships and use them to solve a variety of real-world and mathematical problems. Students will understand the connections between proportional relationships, lines, and linear equations. How can a proportional relationship be represented by an equation? I can explain what a point (x, y) on the graph of a proportional relationship means. I can identify the unit rate by using the point (1, r). I can explain what the point (0, 0) on the graph of a proportional relationship means. How can ratios of fractions and I can recognize and represent quantities measured in like or proportional relationships between different units be expressed as quantities unit rates? I can represent proportional How can a proportional relationships in an equation. relationship be represented by an I can graph proportional relationships. equation? I can interpret the unit rate as a slope of the graph of a proportional What are multiple ways to relationship. compare two different I can compare two different proportional relationships? proportional relationships represented in different ways. UNIT ASSESSMENT TIME LINE Beginning of Unit Pre-Assessment Assessment Name: Grade 7 Pre-Assessment Equations and Inequalities Assessment Type: Pre-assessment Equations and Inequalities Assessment Standards: AF.1, AF.2, AF.3, AF.4, AF.5, AF.6, AF.8, & AF.9 Assessment Description: This Unit helps the student understand linear equations (slopes, y- intercepts, relationships, patterns, graphing, etc.), solving equations and inequalities in real world situations. Throughout the Unit Formative Assessment Assessment Name: Evaluating, Factoring and Simplifying Linear Expressions Assessment Type: Performance Assessment 4
5 Assessing Standards: AF.1 Assessment Description: Students will review order of operations and evaluating, factoring and simplifying linear expressions, as well as identifying the coefficients for linear expressions. Assessment Name: Solving Equations and Inequalities Assessment Type: Performance Assessment or Exit Slip Assessing Standards: AF.2 & AF.3 Assessment Description: Students will solve equations and inequalities for mathematical practice and connection to real-world problems. Assessment Name: Understanding Slope Assessment Type: Performance Assessment Assessing Standards: AF.4 & AF.5 Assessment Description: Students will identify slope and y-intercepts from equations, graphs and tables, and students will graph linear equations. Assessment Name: Graphing and Writing Linear Equations Assessment Type: Performance Assessment Assessing Standards: AF.6, AF.8, & AF.9 Assessment Description: Students will graph, compare and locate various proportional relationships. End of Unit Summative Assessments Assessment Name: Grade 7 Summative Assessment Equations and Inequalities Assessment Type: Benchmark Tests or Sample Standardized Assessment Questions Assessing Standards: AF.1, AF.2, AF.3, AF.4, AF.5, AF.6, AF.8, & AF.9 Assessment Description: Summative assessment of equations and inequalities, as well as linear equations using Mathematical Processes and real life situations. 5
6 PLAN FOR INSTRUCTION Unit Vocabulary Key terms are those that are newly introduced and explicitly taught with expectation of student mastery by end of unit. Prerequisite terms are those with which students have previous experience and are foundational terms to use for differentiation. Key Terms for Unit Prerequisite Math Terms properties of operations linear expressions expanding expressions coefficient rational number expression inequality properties of inequality algebraic solution arithmetic solution inverse operation properties of equality solution set proportion proportional relationship quantities equivalent ratio cross product ordered pair quadrants graph unit rate slope (rate of change) factor variable evaluate coordinate plane origin x-axis y-axis x-coordinate y-coordinate coordinates axis (axes) ordered pair quadrants 6
7 Unit Resources/Notes Include district and supplemental resources for use in weekly planning Pre-Assessment: Algebraic Functions and Expressions and Equations istep Strands Formative Assessment 1 AF.1 Use EE.A.1 resources when you click the link below. Formative Assessment 2 AF.2 - Use EE.4A when you click the link below. The Triangle Train problem can be found on this website. The site includes the teacher instructions for possible student answers and misconceptions. This website provides explanations for using manipulatives to solve equations as well as a real-world problem involving two-step equations with and without the distributive property. This is a basketball game where students determine the solutions of two-step equations. Text Resources/Tasks: Driscoll, M. (1999). Fostering Algebraic Thinking: A guide for Teachers Grades Heinemann. p. 22 "Golden Apples" Math Task p. 22: This math task allows students to develop a strategy to solve a story problem. This would be a nice introduction for connecting their strategy to constructing equations. AF.3 - Use EE.4B when you click the link below. This website includes a puzzle where students are asked to use slides and jumps to switch the places of frogs and toads. This activity could be a lead into an activity for writing an equation for the minimum number of moves necessary for any number of frogs/toads. The current puzzle has three of each. Formative Assessment 3 - AF.4 Use EE.B.5 when you click the link below. Lesson: This lesson involves students using the emulation of a spring scale stretched by a weight to record and graph the direct proportional relationship between the weight and the stretch. (Note: This resource will also be referenced with 7.RP.1.) Direct Variation Teacher Workshop with activities. (Note: This resource will also be referenced with 7.RP.2c.) TI Lesson: Students compute unit rates, find linear equations using unit rates and examine ordered pairs to confirm that linear equations represent proportional relationships. (Note: This resource will also be referenced with 7.RP.2c.) AF.5 Use EE.B.5 when you click the link below. 7
8 Lesson: This lesson involves students using the emulation of a spring scale stretched by a weight to record and graph the direct proportional relationship between the weight and the stretch. (Note: This resource will also be referenced with 7.RP.1.) Direct Variation Teacher Workshop with activities. (Note: This resource will also be referenced with 7.RP.2c.) TI Lesson: Students compute unit rates, find linear equations using unit rates and examine ordered pairs to confirm that linear equations represent proportional relationships. (Note: This resource will also be referenced with 7.RP.2c.) Formative Assessment 4 AF.6 Use RP.2 & RP.2A when you click the link below. ps PARCC/UTA Dana Center Prototype Assessment Item: "Proportional Relationships" (7.RP.A.2a, MP.3, MP.6) _Final.pdf TI Lesson: Students analyze a scatter plot of data, generalize a rule to describe the data, and graph the function that describes the rule to verify that it matches the scatter plot. Task: Art Class, Variation 1. Student analyze the mixtures of different shades of green paint, including graphing the mixtures on a coordinate plane. Text Resources for Lessons/Task: Lobato, J.E., Ellis, A.B, Charles, R.I., & Zbiek, R.M. (2010). Developing Essential Understanding of Ratios, Proportions, & Proportional Reasoning for Teaching Mathematics in Grades 6-8. Reston, VA: National Council of Teachers of Mathematics. p. 66. Task p. 66: Students compare two heart rates to determine whether they are beating at the same pace. AF.8 Use RP.2D when you click the link below. PARCC Prototype Assessment Item: "Speed" (7.RP.2b and 7.RP.2d) TI Lesson: Students use a ratio to plot points and determine a mathematical relationship for plotted points. They also compute the unit rate and predict ordered pairs. Task: Robot Races. Student analyze graphs of the travel of three robots. AF.9 Use RP.2, RP.2C, & EE.5 when you click the link below. Direct Variation Teacher Workshop with activities. (Note: This resource will also be referenced with 8.EE.5.) TI Lesson: Students compute unit rates, find linear equations using unit rates and examine ordered pairs to confirm that linear equations represent proportional relationships. (Note: This resource will also be referenced with 8.EE.5.) 8
9 Task: Art Class, Variation 2. Student analyze the mixtures of different shades of green paint, including writing equations to represent each of the shades of paint. Task: Sore Throats, Variation 1. Student analyze salt water mixtures and determine equations for them. Summative Assessment Algebraic Functions and Expressions and Equations istep Strands or Acuity Targeted Process Standards for this Unit PS.1: Make sense of problems and persevere in solving them Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway, rather than simply jumping into a solution attempt. They consider analogous problems and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, Does this make sense? and "Is my answer reasonable?" They understand the approaches of others to solving complex problems and identify correspondences between different approaches. Mathematically proficient students understand how mathematical ideas interconnect and build on one another to produce a coherent whole. PS.2: Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects. PS.3: Construct viable arguments and critique the reasoning of others Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They analyze situations by breaking them into cases and recognize and use counterexamples. They organize their mathematical thinking, justify their conclusions and communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and if there is a flaw in an argument explain what it is. They justify whether a given statement is true always, sometimes, or never. Mathematically proficient students participate and collaborate in a mathematics community. They listen to or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments. 9
10 PS.4: Model with mathematics Mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace using a variety of appropriate strategies. They create and use a variety of representations to solve problems and to organize and communicate mathematical ideas. Mathematically proficient students apply what they know and are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose. PS.5: Use appropriate Tools Strategically Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts. PS.6: Attend to precision Mathematically proficient students communicate precisely to others. They use clear definitions, including correct mathematical language, in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They express solutions clearly and logically by using the appropriate mathematical terms and notation. They specify units of measure and label axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently and check the validity of their results in the context of the problem. They express numerical answers with a degree of precision appropriate for the problem context. PS.7: Look for and make use of structure Mathematically proficient students look closely to discern a pattern or structure. They step back for an overview and shift perspective. They recognize and use properties of operations and equality. They organize and classify geometric shapes based on their attributes. They see expressions, equations, and geometric figures as single objects or as being composed of several objects. PS.8: Look for and express regularity in repeated reasoning Mathematically proficient students notice if calculations are repeated and look for general methods and shortcuts. They notice regularity in mathematical problems and their work to create a rule or formula. Mathematically proficient students maintain oversight of the process, while attending to the details as they solve a problem. They continually evaluate the reasonableness of their intermediate results. 10
Extending Place Value with Whole Numbers to 1,000,000
Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit
More informationProblem of the Month: Movin n Groovin
: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards: Make sense of
More informationAGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS
AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic
More informationGrade 6: Correlated to AGS Basic Math Skills
Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and
More informationAlgebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview
Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best
More informationFlorida Mathematics Standards for Geometry Honors (CPalms # )
A Correlation of Florida Geometry Honors 2011 to the for Geometry Honors (CPalms #1206320) Geometry Honors (#1206320) Course Standards MAFS.912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular
More informationCharacteristics of Functions
Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics
More informationMontana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011
Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade
More informationCal s Dinner Card Deals
Cal s Dinner Card Deals Overview: In this lesson students compare three linear functions in the context of Dinner Card Deals. Students are required to interpret a graph for each Dinner Card Deal to help
More informationStatewide Framework Document for:
Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance
More informationClassroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice
Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Title: Considering Coordinate Geometry Common Core State Standards
More informationPage 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified
Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community
More informationFocus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers.
Approximate Time Frame: 3-4 weeks Connections to Previous Learning: In fourth grade, students fluently multiply (4-digit by 1-digit, 2-digit by 2-digit) and divide (4-digit by 1-digit) using strategies
More informationUnit 3 Ratios and Rates Math 6
Number of Days: 20 11/27/17 12/22/17 Unit Goals Stage 1 Unit Description: Students study the concepts and language of ratios and unit rates. They use proportional reasoning to solve problems. In particular,
More informationDublin City Schools Mathematics Graded Course of Study GRADE 4
I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported
More informationHonors Mathematics. Introduction and Definition of Honors Mathematics
Honors Mathematics Introduction and Definition of Honors Mathematics Honors Mathematics courses are intended to be more challenging than standard courses and provide multiple opportunities for students
More informationPlaying It By Ear The First Year of SCHEMaTC: South Carolina High Energy Mathematics Teachers Circle
Playing It By Ear The First Year of SCHEMaTC: South Carolina High Energy Mathematics Teachers Circle George McNulty 2 Nieves McNulty 1 Douglas Meade 2 Diana White 3 1 Columbia College 2 University of South
More informationArizona s College and Career Ready Standards Mathematics
Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples First Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June
More informationFirst Grade Standards
These are the standards for what is taught throughout the year in First Grade. It is the expectation that these skills will be reinforced after they have been taught. Mathematical Practice Standards Taught
More informationMathematics subject curriculum
Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June
More informationMissouri Mathematics Grade-Level Expectations
A Correlation of to the Grades K - 6 G/M-223 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley Mathematics in meeting the
More informationMathematics. Mathematics
Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in
More informationTOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system
Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide
More informationCAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011
CAAP Content Analysis Report Institution Code: 911 Institution Type: 4-Year Normative Group: 4-year Colleges Introduction This report provides information intended to help postsecondary institutions better
More informationRadius STEM Readiness TM
Curriculum Guide Radius STEM Readiness TM While today s teens are surrounded by technology, we face a stark and imminent shortage of graduates pursuing careers in Science, Technology, Engineering, and
More informationMath-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade
Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in Math-U-See
More informationMath 96: Intermediate Algebra in Context
: Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office Hours@ tutoring: Tutoring Center (CAS-504) 8 9am & 1 2pm daily STEM (Math) Center (RAI-338)
More informationUsing Proportions to Solve Percentage Problems I
RP7-1 Using Proportions to Solve Percentage Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by
More informationIntroducing the New Iowa Assessments Mathematics Levels 12 14
Introducing the New Iowa Assessments Mathematics Levels 12 14 ITP Assessment Tools Math Interim Assessments: Grades 3 8 Administered online Constructed Response Supplements Reading, Language Arts, Mathematics
More informationLLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15
PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 6-8 Credit Value:
More informationSouth Carolina College- and Career-Ready Standards for Mathematics. Standards Unpacking Documents Grade 5
South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents Grade 5 South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents
More informationLearning Disability Functional Capacity Evaluation. Dear Doctor,
Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can
More informationTechnical Manual Supplement
VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................
More informationAP Calculus AB. Nevada Academic Standards that are assessable at the local level only.
Calculus AB Priority Keys Aligned with Nevada Standards MA I MI L S MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a
More informationCommon Core State Standards
Common Core State Standards Common Core State Standards 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Mathematical Practices 1, 3, and 4 are aspects
More informationRendezvous with Comet Halley Next Generation of Science Standards
Next Generation of Science Standards 5th Grade 6 th Grade 7 th Grade 8 th Grade 5-PS1-3 Make observations and measurements to identify materials based on their properties. MS-PS1-4 Develop a model that
More informationMathematics process categories
Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts
More informationGUIDE TO THE CUNY ASSESSMENT TESTS
GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1
More informationSAT MATH PREP:
SAT MATH PREP: 2015-2016 NOTE: The College Board has redesigned the SAT Test. This new test will start in March of 2016. Also, the PSAT test given in October of 2015 will have the new format. Therefore
More informationThis scope and sequence assumes 160 days for instruction, divided among 15 units.
In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction
More informationOhio s Learning Standards-Clear Learning Targets
Ohio s Learning Standards-Clear Learning Targets Math Grade 1 Use addition and subtraction within 20 to solve word problems involving situations of 1.OA.1 adding to, taking from, putting together, taking
More informationCommon Core Standards Alignment Chart Grade 5
Common Core Standards Alignment Chart Grade 5 Units 5.OA.1 5.OA.2 5.OA.3 5.NBT.1 5.NBT.2 5.NBT.3 5.NBT.4 5.NBT.5 5.NBT.6 5.NBT.7 5.NF.1 5.NF.2 5.NF.3 5.NF.4 5.NF.5 5.NF.6 5.NF.7 5.MD.1 5.MD.2 5.MD.3 5.MD.4
More informationPre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value
Syllabus Pre-Algebra A Course Overview Pre-Algebra is a course designed to prepare you for future work in algebra. In Pre-Algebra, you will strengthen your knowledge of numbers as you look to transition
More informationExemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple
Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple Unit Plan Components Big Goal Standards Big Ideas Unpacked Standards Scaffolded Learning Resources
More informationFoothill College Summer 2016
Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:
More informationMath Grade 3 Assessment Anchors and Eligible Content
Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among
More informationMathematics Assessment Plan
Mathematics Assessment Plan Mission Statement for Academic Unit: Georgia Perimeter College transforms the lives of our students to thrive in a global society. As a diverse, multi campus two year college,
More informationGrade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand
Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Texas Essential Knowledge and Skills (TEKS): (2.1) Number, operation, and quantitative reasoning. The student
More informationWhat's My Value? Using "Manipulatives" and Writing to Explain Place Value. by Amanda Donovan, 2016 CTI Fellow David Cox Road Elementary School
What's My Value? Using "Manipulatives" and Writing to Explain Place Value by Amanda Donovan, 2016 CTI Fellow David Cox Road Elementary School This curriculum unit is recommended for: Second and Third Grade
More informationFIGURE IT OUT! MIDDLE SCHOOL TASKS. Texas Performance Standards Project
FIGURE IT OUT! MIDDLE SCHOOL TASKS π 3 cot(πx) a + b = c sinθ MATHEMATICS 8 GRADE 8 This guide links the Figure It Out! unit to the Texas Essential Knowledge and Skills (TEKS) for eighth graders. Figure
More informationOFFICE SUPPORT SPECIALIST Technical Diploma
OFFICE SUPPORT SPECIALIST Technical Diploma Program Code: 31-106-8 our graduates INDEMAND 2017/2018 mstc.edu administrative professional career pathway OFFICE SUPPORT SPECIALIST CUSTOMER RELATIONSHIP PROFESSIONAL
More informationLESSON PLANS: AUSTRALIA Year 6: Patterns and Algebra Patterns 50 MINS 10 MINS. Introduction to Lesson. powered by
Year 6: Patterns and Algebra Patterns 50 MINS Strand: Number and Algebra Substrand: Patterns and Algebra Outcome: Continue and create sequences involving whole numbers, fractions and decimals. Describe
More informationTabletClass Math Geometry Course Guidebook
TabletClass Math Geometry Course Guidebook Includes Final Exam/Key, Course Grade Calculation Worksheet and Course Certificate Student Name Parent Name School Name Date Started Course Date Completed Course
More informationUpdate on Standards and Educator Evaluation
Update on Standards and Educator Evaluation Briana Timmerman, Ph.D. Director Office of Instructional Practices and Evaluations Instructional Leaders Roundtable October 15, 2014 Instructional Practices
More informationMath 098 Intermediate Algebra Spring 2018
Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the
More informationINTERMEDIATE ALGEBRA PRODUCT GUIDE
Welcome Thank you for choosing Intermediate Algebra. This adaptive digital curriculum provides students with instruction and practice in advanced algebraic concepts, including rational, radical, and logarithmic
More informationDMA CLUSTER CALCULATIONS POLICY
DMA CLUSTER CALCULATIONS POLICY Watlington C P School Shouldham Windows User HEWLETT-PACKARD [Company address] Riverside Federation CONTENTS Titles Page Schools involved 2 Rationale 3 Aims and principles
More informationMathematics Success Level E
T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.
More informationPROGRESS MONITORING FOR STUDENTS WITH DISABILITIES Participant Materials
Instructional Accommodations and Curricular Modifications Bringing Learning Within the Reach of Every Student PROGRESS MONITORING FOR STUDENTS WITH DISABILITIES Participant Materials 2007, Stetson Online
More informationMath 150 Syllabus Course title and number MATH 150 Term Fall 2017 Class time and location INSTRUCTOR INFORMATION Name Erin K. Fry Phone number Department of Mathematics: 845-3261 e-mail address erinfry@tamu.edu
More informationUNIT ONE Tools of Algebra
UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students
More informationStandard 1: Number and Computation
Standard 1: Number and Computation Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Benchmark 1: Number Sense The student
More informationProbability and Statistics Curriculum Pacing Guide
Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods
More informationPre-AP Geometry Course Syllabus Page 1
Pre-AP Geometry Course Syllabus 2015-2016 Welcome to my Pre-AP Geometry class. I hope you find this course to be a positive experience and I am certain that you will learn a great deal during the next
More informationHelping Your Children Learn in the Middle School Years MATH
Helping Your Children Learn in the Middle School Years MATH Grade 7 A GUIDE TO THE MATH COMMON CORE STATE STANDARDS FOR PARENTS AND STUDENTS This brochure is a product of the Tennessee State Personnel
More informationSyllabus ENGR 190 Introductory Calculus (QR)
Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.
More informationBittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley.
Course Syllabus Course Description Explores the basic fundamentals of college-level mathematics. (Note: This course is for institutional credit only and will not be used in meeting degree requirements.
More informationIntegrating Common Core Standards and CASAS Content Standards: Improving Instruction and Adult Learner Outcomes
Integrating Common Core Standards and CASAS Content Standards: Improving Instruction and Adult Learner Outcomes Linda Taylor, CASAS ltaylor@casas.or Susana van Bezooijen, CASAS svanb@casas.org CASAS and
More informationASSESSMENT TASK OVERVIEW & PURPOSE:
Performance Based Learning and Assessment Task A Place at the Table I. ASSESSMENT TASK OVERVIEW & PURPOSE: Students will create a blueprint for a decorative, non rectangular picnic table (top only), and
More informationTABE 9&10. Revised 8/2013- with reference to College and Career Readiness Standards
TABE 9&10 Revised 8/2013- with reference to College and Career Readiness Standards LEVEL E Test 1: Reading Name Class E01- INTERPRET GRAPHIC INFORMATION Signs Maps Graphs Consumer Materials Forms Dictionary
More informationAlignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program
Alignment of s to the Scope and Sequence of Math-U-See Program This table provides guidance to educators when aligning levels/resources to the Australian Curriculum (AC). The Math-U-See levels do not address
More informationMath 121 Fundamentals of Mathematics I
I. Course Description: Math 121 Fundamentals of Mathematics I Math 121 is a general course in the fundamentals of mathematics. It includes a study of concepts of numbers and fundamental operations with
More informationInstructor: Matthew Wickes Kilgore Office: ES 310
MATH 1314 College Algebra Syllabus Instructor: Matthew Wickes Kilgore Office: ES 310 Longview Office: LN 205C Email: mwickes@kilgore.edu Phone: 903 988-7455 Prerequistes: Placement test score on TSI or
More informationNumeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C
Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom
More information5. UPPER INTERMEDIATE
Triolearn General Programmes adapt the standards and the Qualifications of Common European Framework of Reference (CEFR) and Cambridge ESOL. It is designed to be compatible to the local and the regional
More informationContent Language Objectives (CLOs) August 2012, H. Butts & G. De Anda
Content Language Objectives (CLOs) Outcomes Identify the evolution of the CLO Identify the components of the CLO Understand how the CLO helps provide all students the opportunity to access the rigor of
More informationBENCHMARK MA.8.A.6.1. Reporting Category
Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Use exponents and scientific notation to write large and small
More informationGeorgia Department of Education Georgia Standards of Excellence Framework GSE Sophisticated Shapes Unit 1
CONSTRUCTING TASK: What the Heck is Rekenrek? The Rekenrek can be used throughout the year and incorporated in a variety of tasks to enforce concrete representation of numbers and strategies. Adapted from
More informationSouth Carolina English Language Arts
South Carolina English Language Arts A S O F J U N E 2 0, 2 0 1 0, T H I S S TAT E H A D A D O P T E D T H E CO M M O N CO R E S TAT E S TA N DA R D S. DOCUMENTS REVIEWED South Carolina Academic Content
More informationSample worksheet from
Copyright 2017 Maria Miller. EDITION 1/2017 All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, or by any information storage
More informationBuild on students informal understanding of sharing and proportionality to develop initial fraction concepts.
Recommendation 1 Build on students informal understanding of sharing and proportionality to develop initial fraction concepts. Students come to kindergarten with a rudimentary understanding of basic fraction
More informationAre You Ready? Simplify Fractions
SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,
More informationGetting Started with TI-Nspire High School Science
Getting Started with TI-Nspire High School Science 2012 Texas Instruments Incorporated Materials for Institute Participant * *This material is for the personal use of T3 instructors in delivering a T3
More informationA BLENDED MODEL FOR NON-TRADITIONAL TEACHING AND LEARNING OF MATHEMATICS
Readings in Technology and Education: Proceedings of ICICTE 2010 407 A BLENDED MODEL FOR NON-TRADITIONAL TEACHING AND LEARNING OF MATHEMATICS Wajeeh Daher Al-Qasemi Academic College of Education Israel
More informationCurriculum Guide 7 th Grade
Curriculum Guide 7 th Grade Kesling Middle School LaPorte Community School Corporation Mr. G. William Wilmsen, Principal Telephone (219) 362-7507 Mr. Mark Fridenmaker, Assistant Principal Fax (219) 324-5712
More informationFourth Grade. Reporting Student Progress. Libertyville School District 70. Fourth Grade
Fourth Grade Libertyville School District 70 Reporting Student Progress Fourth Grade A Message to Parents/Guardians: Libertyville Elementary District 70 teachers of students in kindergarten-5 utilize a
More informationEQuIP Review Feedback
EQuIP Review Feedback Lesson/Unit Name: On the Rainy River and The Red Convertible (Module 4, Unit 1) Content Area: English language arts Grade Level: 11 Dimension I Alignment to the Depth of the CCSS
More informationNCSC Alternate Assessments and Instructional Materials Based on Common Core State Standards
NCSC Alternate Assessments and Instructional Materials Based on Common Core State Standards Ricki Sabia, JD NCSC Parent Training and Technical Assistance Specialist ricki.sabia@uky.edu Background Alternate
More informationFROM QUASI-VARIABLE THINKING TO ALGEBRAIC THINKING: A STUDY WITH GRADE 4 STUDENTS 1
FROM QUASI-VARIABLE THINKING TO ALGEBRAIC THINKING: A STUDY WITH GRADE 4 STUDENTS 1 Célia Mestre Unidade de Investigação do Instituto de Educação, Universidade de Lisboa, Portugal celiamestre@hotmail.com
More informationQUICK START GUIDE. your kit BOXES 1 & 2 BRIDGES. Teachers Guides
QUICK START GUIDE BOXES 1 & 2 BRIDGES Teachers Guides your kit Your Teachers Guides are divided into eight units, each of which includes a unit introduction, 20 lessons, and the ancillary pages you ll
More informationDiagnostic Test. Middle School Mathematics
Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by
More informationArizona s English Language Arts Standards th Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS
Arizona s English Language Arts Standards 11-12th Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS 11 th -12 th Grade Overview Arizona s English Language Arts Standards work together
More informationStacks Teacher notes. Activity description. Suitability. Time. AMP resources. Equipment. Key mathematical language. Key processes
Stacks Teacher notes Activity description (Interactive not shown on this sheet.) Pupils start by exploring the patterns generated by moving counters between two stacks according to a fixed rule, doubling
More informationStrategies for Solving Fraction Tasks and Their Link to Algebraic Thinking
Strategies for Solving Fraction Tasks and Their Link to Algebraic Thinking Catherine Pearn The University of Melbourne Max Stephens The University of Melbourne
More informationThis Performance Standards include four major components. They are
Environmental Physics Standards The Georgia Performance Standards are designed to provide students with the knowledge and skills for proficiency in science. The Project 2061 s Benchmarks for Science Literacy
More informationCEFR Overall Illustrative English Proficiency Scales
CEFR Overall Illustrative English Proficiency s CEFR CEFR OVERALL ORAL PRODUCTION Has a good command of idiomatic expressions and colloquialisms with awareness of connotative levels of meaning. Can convey
More informationAnswer Key For The California Mathematics Standards Grade 1
Introduction: Summary of Goals GRADE ONE By the end of grade one, students learn to understand and use the concept of ones and tens in the place value number system. Students add and subtract small numbers
More informationUsing Calculators for Students in Grades 9-12: Geometry. Re-published with permission from American Institutes for Research
Using Calculators for Students in Grades 9-12: Geometry Re-published with permission from American Institutes for Research Using Calculators for Students in Grades 9-12: Geometry By: Center for Implementing
More informationPrimary National Curriculum Alignment for Wales
Mathletics and the Welsh Curriculum This alignment document lists all Mathletics curriculum activities associated with each Wales course, and demonstrates how these fit within the National Curriculum Programme
More information