Approximate Time Lengths for Units Units Suggested Pacing Personal Notes on Pacing

Pacing Guide Overview Advanced 7 th Grade Mathematics Updated 2013/2014 School Year The pacing guide provides a list of suggested materials to be used to teach the curriculum and an approximate time frame for each unit. However, it does not necessarily present materials in a specific order for teaching. Not all resources need to be used and a teacher can replace suggested resources with other activities that they find. It is up to the individual teacher to use the suggested materials to lesson plan and create activities that meet their individual student and classroom needs. The teacher s primary goal should be to prepare their students so that they are able to answer the essential questions for the unit and take the common assessments. Holt Reading Strategies, Reteach, and Know It Notes are suggested as resources to use for notes that students could take home. Copies are provided in the binders to choose from while lesson planning. Teachers should use Holt resources that correspond with those suggested in the pacing guide (or other resources that they find) to create warm-ups and activities as needed. The pacing guide is based on 172 full instructional days. There are some half days, but those have been omitted from the pacing guides and should be used as needed to stay on pace. There are 7 Units in the Advanced 7 th Grade curriculum and 45 On-Core Sections. 172 45 3.5 days per On-Core section, supplemental activities, and assessments Time is not built in for Computation Tests. Portions of the curriculum and some assessments are noted as non-calculator to match with non-calculator portions of NWEA and Smarter Balanced Assessments. Those portions of the curriculum should be taught as non-calculator portions for all students; and teachers should reinforce computation skills through warm-ups and other activities throughout the year Unit 1 (6 sections) Unit 2 (8 sections) Unit 3 (6 sections) Unit 4 (6 sections) Unit 5 (6 sections) Unit 6 (8 sections) Unit 7 (5 sections) Total = 172 days Approximate Time Lengths for Units Units Suggested Pacing Personal Notes on Pacing 23 days 30 days 23 days 23 days 23 days 30 days 20 days

Unit 1 The Number System This unit should take approximately 23 days with Assessments This is a non-calculator unit Pre-Requisite Skills **It is to the teacher s discretion to decide how many points they require students to get on IXL lessons. Suggestion: 40 or 50 points on review/prerequisite lessons and 70 to 80 points on current material 7 th Grade On-Core 1.1 What are rational numbers? How do you write rational numbers as decimals and as fractions? How do you compare rational numbers on a number line? IXL 7 th Grade D.1 Understanding Integers D.2 Integers on number lines D.3 Absolute value and opposite integers D.4 Compare and order integers D.5 Integer inequalities with absolute values B.2 Compare and order decimals B.3 Decimal number lines C.1 Add and subtract decimals C.3 Multiply decimals C.5 Divide decimals F.1 Equivalent fractions F.2 Simplify fractions F.3 Understanding fractions F.4 Least common denominator F.5 Compare and order fractions G.1 Add and subtract fractions G.3 Add and subtract mixed numbers G.7 Multiply fractions G.8 Multiply fractions and whole numbers G.9 Multiply mixed numbers G.11 Divide fractions G.12 Divide mixed numbers Holt 2.1 Reteach, Reading Strategies, Know It Notebook Holt 2.2 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core 1.1 H.1 Identify rational numbers H.2 Convert between decimals, fractions, and mixed numbers H.3 Absolute value of rational numbers H.4 Compare rational numbers H.5 Put rational numbers in order 4 Class

7 th Grade On-Core 1.2 How can you add rational numbers? 7 th Grade On-Core 1.3 How do you subtract rational numbers? 7 th Grade On-Core 1.4 How do you multiply rational numbers? 7 th Grade On-Core 1.5 How do you divide rational numbers? 7 th Grade On-Core 1.6 How do you solve multistep problems with rational numbers? Summative Assessment Holt 1.4 Reading Strategies, Reteach, Know It Notebook Holt 1.5 Reading Strategies, Reteach, Know It Notebook Holt 2.3 Reading Strategies, Reteach, Know It Notebook Holt 2.6 Reading Strategies, Reteach, Know It Notebook 7 th Grade On Core 1.2 7 th Grade On Core 1.3 E.1 Integer addition and subtraction rules E.3 Add and subtract integers E.4 Complete addition and subtraction sentences with integers E.5 Add and subtract integers: word problems H.6 Add and subtract rational numbers MARS Lesson: Using Positive and Negative Numbers in Context Holt 1.6 Reading Strategies, Reteach, Know It Notebook Holt 2.4 Reading Strategies, Reteach, Know It Notebook Holt 2.5 Reading Strategies, Reteach, Know It Notebook 7 th Grade On Core 1.4 7 th Grade On Core 1.5 E.6 Integer multiplication and division rules E.7 Multiply and divide integers E.8 Complete multiplication and division sentences with integers H.7 Multiply and divide rational numbers MARS Task: Division 7 th Grade On Core 1.6 7 th Grade On Core Unit 1 Problem Solving Connections E.9 Simplify expressions involving integers C.8 Add, subtract, multiply, and divide decimals: word problems C.10 Maps with decimal distances C.11 Simplify expressions involving decimals G.15 Add, subtract, multiply, and divide fractions and mixed numbers: word problems G.16 Maps with fractional distances M.2 Multi-step word problems 6 Class 2 Class

Unit 2 Functions This unit should take approximately 30 days with Pre-Requisite Skills and Assessments This unit should be taught in four sections: Section 1 Prerequisite skills (IXL) Section 2 Using tables, graphs, rules, and rate of change to identify functions as linear or nonlinear (NCTM: Movement with Functions, 8 th Grade On Core 2.1-2.3) Section 3 Linear functions (8 th Grade On Core 2.4-2.6) Section 4 Distance Time Graphs (8 th Grade On Core 2.7) Pre-Requisite Skills **It is to the teacher s discretion to decide how many points they require students to get on IXL lessons. Suggestion: 40 or 50 points on review/prerequisite lessons and 70 to 80 points on current material Launching Activity 8 th Grade On Core 2.1 What is a function? How do you represent a (linear) function with a table or graph? How do you write an equation for a proportional relationship from a table of values? IXL Lessons from 8 th Grade: H.2 Equivalent ratios H.5 Unit rates I.3 Find the constant of variation: word problems N.4 Interpret line graphs P.1 Points on coordinate graphs (adobe) P.2 Quadrants and axes P.3 Coordinate graphs as maps NCTM Movement with Functions (Only focus on the How Should I Move? portion of the activity. Creating each graph and being able to describe the movement used to create it. Students should not make tables and equations of the graphs they walk. You can come back to this activity throughout the unit.) Holt 3.4 Reading Strategies, Reteach, and Know It Notebook (Example 1 to be used with On Core 2.2) 8 th Grade On Core 2.1 8 th Grade IXL Lessons: I.5 Write an equation for a proportional relationship (to 60 pts only; beyond 60 pts is for graphs) V.1 Does (x, y) satisfy the linear equation? V.2 Evaluate a linear function V.3 Complete a function table V.6 Graph a line from a function table (adobe) I.4 Graph a proportional relationship (adobe) Algebra IXL Lesson: Q.4 Identify functions 2 Class

8th Grade On Core 2.2 How do you graph a linear (or nonlinear) function? How do you write a function rule from a description that gives the slope and y-intercept? How do you identify a function as linear or nonlinear by its equation or graph? 8 th Grade On Core 2.3 How do you find a rate of change or a slope? How do you use rate of change to determine whether a relationship or function is linear or nonlinear? 8 th Grade On Core 2.4 How can you derive the slope-intercept form of a line? How do the slope and y- intercept determine a linear function? (Include the concept of direct proportion relationships) Holt 3.4 Know It Notebook Example 1 Holt 12.1 Know It Notebook Holt 3.5 Challenge 8 th Grade On Core 2.2 NCTM: Movement with Functions Graphing Equations (Students can create tables and graphs of the given functions and have a class conversation relating them to the launching activity. Students are being exposed to the terminology linear, exponential, quadratic, and nonlinear.) 8 th Grade IXL Lessons W.2 Does (x, y) satisfy a nonlinear equation? W.3 Evaluate a nonlinear function V.5 Find points on a function graph W.1 Identify linear and nonlinear functions Algebra IXL Lessons S.1 Identify linear functions NEED WORKSHEET PRACTICE WITH WRITING FUNCTION RULES Holt 12.1 Reteach Holt 12.2 Reteach and Know It Notebook 8 th Grade On Core 2.3 NCTM Rise-Run Triangles 8 th Grade IXL Lessons I.2 Find the constant of variation: graphs V.9 Find the slope of a graph V.10 Find the slope from two points Algebra IXL Lessons S.2 Find the slope of a graph S.3 Find slope from two points Holt 12.2 Reading Strategies Holt 12.5 Reteach and Reading Strategies 8 th Grade On Core 2.4 8 th Grade IXL Lessons V.12 Graph a line using slope (adobe) V.7 Graph a line from an equation (adobe) I.1 Identify proportional relationships Algebra IXL Lessons S.4 Slope-intercept form: find slope and y-intercept S.5 Slope-intercept form: graph an equation (adobe) Worksheets: Exploring Linear Equations; The Picture Tells the Linear Story; Section 4.3 Algebra; Slopes and y-intercepts of Graphs; Graphing Linear Equations MARS Task: Linear Graphs

8 th Grade On Core 2.5 How do you write an equation for a function given a table, graph, or description? 8 th Grade On Core 2.6 How can you use tables, graphs, and equations to compare functions? 8 th Grade On Core 2.7 How can you describe a relationship given a graph and sketch a graph given a description? 8 th Grade On Core Problem Solving Connections Summative Assessment Holt 13.4 Reading Strategies, Reteach, and Know It Notebook 8 th Grade On Core 2.5 8 th Grade IXL Lessons: V.4 Write a rule for a function table I.5 Write an equation for a proportional relationship Algebra IXL Lessons: S.6 Slope-intercept form: write an equation from a graph S.7 Slope-intercept form: write an equation NCTM Equations of Attack MARS Task: Shelves NEED WORKSHEET PRACTICE WITH WRITING FUNCTION RULES From 2 points given in a description 8 th Grade On Core 2.6 MARS Lesson: Lines and Linear Equations NCTM Amazing Profit NCTM Movie Lines NCTM Movement with Functions: How Did I Move?; Coleman s Touchdown; The Winning Goal Holt 3.3 Reading Strategies, Reteach, Know It Notebook 8 th Grade On Core 2.7 MARS Task: Buses MARS Task: Journey MARS Task: Bike Ride MARS Task: The Cog Railway MARS Lesson: Interpreting Distance-Time Graphs NCTM: Describe the Graph 2 Class 2 Class

Unit 3 Expressions and Equations This unit should take approximately 23 days with Assessments This unit should be taught in two sections. Section 1 Expressions, equations, and inequalities (7 th Grade On Core 3.1, 3.3, 3.4, & 3.5 Section 2 Application of expressions and equations as related to percents (7 th Grade On Core 3.2 & 3.6) Pre-Requisite Skills **It is to the teacher s discretion to decide how many points they require students to get on IXL lessons. Suggestion: 40 or 50 points on review/prerequisite lessons and 70 to 80 points on current material 7 th Grade On Core 3.1 How do you add, subtract, factor, and multiply algebraic expressions? 7 th Grade On Core 3.3 How do you solve equations that contain multiple operations? 7 th Grade On Core 3.4 How do you solve inequalities that involve one operation? U.1 Write variable expressions U.2 Evaluate single-variable expressions I U.3 Evaluate single-variable expressions II U.4 Evaluate multi-variable expressions U.5 Evaluate variable expressions for numerators and denominators Holt 1.2 Alternate Opener: Exploration 7 th Grade On Core 3.1 Kuta Software Combining Like Terms; Using the Distributive Property; Simplifying Variable Expressions 8 th Grade IXL Lessons T.6 Add and subtract like terms T.7 Simplify variable expressions Algebra IXL Lessons H.2 Distributive property I.2 Simplify variable expressions involving like terms and the distributive property Holt 2.8 Reteach, Reading Strategies, Know It Notebook, and Challenge Holt 2.7 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core 3.3 8 th Grade IXL Lessons U.1 Does x satisfy the equation? U.4 Solve one-step linear equations U.5 Solve two-step linear equations U.7 Solve multi-step equations U.8 Solve equations involving like terms MARS Lesson: Steps to Solving Equations Holt 1.9 Reteach, Reading Strategies, and Know It Notebook Holt 11.4 Reteach, Reading Strategies, and Know It Notebook 7 th Grade On Core 3.4 W.1 Inequalities on number lines (adobe) 4 Class 4 Class

7 th Grade On Core 3.5 How do you solve inequalities that involve multiple operations? 7 th Grade On Core 3.2 How can you rewrite expressions to help you solve problems? 7 th Grade On Core 3.6 How can you solve problems by using expressions, equations, and inequalities? 7 th Grade On Core Problem Solving Connections Summative Assessment W.2 Solutions to variable inequalities W.3 Graph inequalities on a number line (adobe) W.4 Solve one-step linear inequalities (adobe) W.5 Graph solutions to one-step linear inequalities (adobe) Holt 11.5 Reteach, Reading Strategies, and Know It Notebook 7 th Grade On Core 3.5 W.6 Solve two-step linear inequalities (adobe) W.7 Graph solutions to two-step linear inequalities (adobe) TImiddlegrades Discount Savings Activity (to be completed without a graphing calculator) 7 th Grade On Core 3.2 MARS Task Sale! MARS Task At the Jewelry Store 7 th Grade On Core 3.6 NCTM Building Bridges MARS Task 25% Sale MARS Task Ice Cream

Unit 4 Geometry: Transformations This unit should take approximately 23 days with Assessments 8 th Grade On-Core 4.1 How can you use coordinates to describe the result of a translation, reflection, or rotation? 8 th Grade On-Core 4.2 What properties of a figure are preserved under a translation, reflection, or rotation? 8 th Grade On-Core 4.1 Supplemental Investigations Kuta Software Worksheets (to replace IXL lessons R.2, R.4 & R.6 which require adobe) IXL Lessons from 8 th Grade: R.1 Identify reflections, rotations, and translations (0 80pts are single transformation problems; 80-100pts are composite transformations for use with 4.3) R.2 Translations: graph the image (adobe) R.3 Translations: find the coordinates R.4 Reflections: graph the image (adobe) R.5 Reflections: find the coordinates R.6 Rotations: graph the image (adobe) R.7 Rotations: find the coordinates Holt 7.6 Reteach (relate each example to translations, reflections, and rotations) 8 th Grade On-Core 4.2 MARS Task: Aaron s Design IXL Lessons from 8 th Grade: Q.11 Congruent figures: side lengths and angle measures Q.12 Congruence statements and corresponding parts 5 Class 5 Class 8 th Grade On-Core 4.3 What is the connection between transformations and figures that have the same shape and size? How do composite transformations affect a figure? 8 th Grade On-Core 4.4 How can you use coordinates to describe the result of a dilation? 8 th Grade On-Core 4.3 IXL Lessons from 8 th Grade: R.1 Identify reflections, rotations, and translations (used with 4.1 as well; 80-100pts for composite transformations) Geometry IXL Lessons L.10 Compositions of congruence transformations: graph the image (adobe) L.11 Transformations that carry a polygon onto itself L.12 Congruence transformations: mixed review Supplemental Worksheet Composite Transformations Holt 5.6 Reteach, Reading Strategies SpongeBob Similar and Congruent Figures Activity 8 th Grade On Core 4.4 5 Class

How does scale factor affect side lengths, angle measures, and area of a figure? 8 th Grade On-Core 4.5 What is the connection between transformations and similar figures? 7 th Grade On Core 4.1 How can you use scale drawings to solve problems? 8 th Grade On Core Problem Solving Connections Summative Assessment 8 th Grade IXL Lessons R.8 Dilations: graph the image (adobe) R.9 Dilations: find the coordinates R.10 Dilations: scale factor and classification Geometry IXL Lessons P.6 Perimeters of similar figures P.11 Areas of similar figures P.8 Similar triangles and similarity transformations Holt 5.5 Reteach, Reading Strategies and Know It Notebook 8 th Grade On Core 4.5 8 th Grade IXL Lessons Q.9 Similar and congruent figures Q.10 Similar figures: side lengths and angle measures 7 th Grade On Core 4.1 Holt 5.8 Exploration J.13 Scale drawings and scale factors Similar Figures Worksheet Identifying and Drawing Similar Figures Activity

Unit 5 Geometry: Constructions, Angle Properties, and Similar Triangles This unit should take approximately 23 days with Assessments 7 th Grade On-Core 4.2 How can you draw shapes that satisfy given conditions? When do given conditions determine a unique triangle, more than one triangle, or no triangles? 7 th Grade On Core 4.4 How can you use angle pairs to solve problems? 8 th Grade On Core 5.1 What can you conclude about the angles formed by parallel lines that are cut by a transversal? 8 th Grade On Core 5.2 What can you conclude about the measures of the angles of a triangle? 8 th Grade On Core 5.3 How can you determine when two triangles are similar? P.1 Lines, line segments, and rays P.2 Parallel, perpendicular, intersecting P.3 Name, measure, and classify angles (adobe) 7 th Grade On Core 4.2 Kuta Software Line Segments and Measure Kuta Software Angles and Their Measures Triangle Inequality Activities Holt 7.1 Reteach and Know It Notebook 7 th Grade On-Core 4.4 8 th Grade IXL Lessons: Q.1 Identify complementary, supplementary, vertical, adjacent, and congruent angles Q.2 Find measures of complementary, supplementary, vertical, and adjacent angles Kuta Software Angle Pair Relationships Holt 7.2 Reteach, Alternate Opener: Exploration, Know It Notebook, Challenge 8 th Grade On Core 5.1 Kuta Software Parallel Lines and Transversals Worksheets Geometry IXL Lessons D.2 Transversals: name angle pairs D.3 Transversal of parallel lines: find angle measures Holt 7.3 Reteach, Alternate Opener: Exploration, Know It Notebook 8 th Grade On Core 5.2 Geometry IXL Lessons F.2 Triangle Angle-Sum Theorem F.3 Exterior Angle Theorem MARS Lesson Applying Angle Theorems Holt 5.7 Reteach, Reading Strategies and Know It Notebook 8 th Grade On Core 5.3 P.14 Similar figures and indirect measurement 4 Class 4 Class

How can you find measures indirectly by applying the properties of similar figures? 8 th Grade On Core 5.4 How can you show that the slope of a line is the same between any two points on the line? Summative Assessment Geometry IXL Lessons P.5 Similar triangles and indirect measurement P.10 Triangle Proportionality Theorem 8 th Grade On Core 5.4 period

Unit 6 Geometry: Two- and Three-Dimensional Figures This unit should take approximately 30 days with Assessments 7 th Grade On Core 5.1 How do you find the circumference of a circle? How can you solve problems using circumference, diameter, and/or radius of a circle? 7 th Grade On Core 5.2 How do you find the area of a circle? How can you solve problems using area, diameter, and/or radius of a circle? 7 th Grade On Core 5.3 How do you find the area (or perimeter) of rectangles, parallelograms, triangles, and trapezoids? How do you find the area of composite figures? 7 th Grade On Core 5.4 How do you find the surface area of a figure made of prisms? Holt 8.3 Reading Strategies, Reteach (Circumference Only), Know It Notebook (Circumference Only) 7 th Grade On Core 5.1 Worksheet modified from Holt 8.3 resources P.21 Identifying parts of a circle (Other IXL lessons combine circumference and area) MARS Task: Historic Bicycle Holt 8.3 Reteach, Know It Notebook, Alternate Opener: Exploration 7 th Grade On Core 5.2 P.22 Circles: calculate area, circumference, radius, and diameter P.23 Circle: word problems MARS Task: Pizza Crusts Holt 8.1 Reteach, Reading Strategies, and Know It Notebook Holt 8.2 Reteach, Reading Strategies, and Know It Notebook P.18 Area of rectangles and parallelograms P.19 Area of triangles and trapezoids P.20 Area and perimeter word problems 7 th Grade On Core 5.3 P.33 Area of compound figures with triangles, semicircles, and quarter circles Geometry IXL Lessons R.8 Area of compound figures MARS Task: Winter Hat Holt 8.7 Reteach, Reading Strategies, Know It Notebook, Alternate Opener: Exploration 7 th Grade On Core 5.4 P.28 Surface area Geometry IXL Lessons S.2 Surface are of prisms and cylinders 4 Class 4 Class

MARS Lesson: Using Dimensions: Designing a Sports Bag

7 th Grade On Core 5.5 How do you find the volume of a figure made up of cubes and prisms? 8 th Grade On Core 5.7 How can you solve problems using the formulas for volume? 8 th Grade On Core 5.5 How can you use the Pythagorean Theorem to solve problems? 8 th Grade On Core 5.6 How can you prove the Pythagorean Theorem and its converse? Summative Assessment Holt 8.5 Reteach & Know It Notebook (Volume only) Holt 8.6 Reteach & Know It Notebook (Volume only) Holt 8.9 Reteach & Know It Notebook (Volume only) 7 th Grade On Core 5.5 8 th Grade On Core 5.7 : P.29 Volume Geometry IXL Lessons: S.4 Volume of prisms and cylinders S.5 Volume of pyramids and cones Supplemental Worksheets MARS Lesson: Estimations and Approximations: The Money Munchers NCTM Activity Fishing for the Best Prism NCTM Activity Popcorn, Anyone? Holt 4.8 Reteach, Reading Strategies, Know It Notebook, Alternate Opener: Exploration 8 th Grade On Core 5.5 8 th Grade On Core 5.6 8 th Grade IXL Lessons O.1 Pythagorean theorem: find the length of the hypotenuse O.2 Pythagorean theorem: find the missing leg length O.3 Pythagorean theorem: find the perimeter O.4 Pythagorean theorem: word problems O.5 Converse of the Pythagorean Theorem: is it a right triangle? MARS Lesson The Pythagorean Theorem: Square Areas MARS Task: Jane s T.V. MARS Task: Patterns in Prague Navigating Through Problem Solving Pythagorean Theorem NCTM Corner to Corner 4 Class 5 Class

Unit 7 Probability and Simulations This unit should take approximately 20 days with Assessments 7 th Grade On Core 7.1 How can you describe the likelihood of an event? 7 th Grade On Core 7.2 How can you find the theoretical probability of an event? 7 th Grade On Core 7.3 How can you find the experimental probability of an event? 7 th Grade On Core 7.4 How do you find the probability of a compound event? 7 th Grade On Core 7.5 How can you use simulations to estimate probabilities? 7 th Grade On Core Problem Solving Connections Summative Assessment Holt 10.1 Reading Strategies, Reteach, Know It Notebook 7 th Grade On Core 7.1 : Z.1 Probability of simple events MARS Task: Flora, Freddy, and the Future MARS Task: Will it Happen? Holt 10.4 Reteach, Reading Strategies, Know It Notebook Holt 10.2 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core 7.2 7 th Grade On Core 7.3 : Z.4 Make predictions Z.3 Experimental probability MARS Task: Spinner Bingo MARS Lesson: Evaluating Statements About Probability NCTM Activity Boxing Up NCTM Activity Probability Explorations 7 th Grade On Core 7.4 Z.2 Probability of opposite, mutually exclusive, and overlapping events Z.5 Compound events: find the number of outcomes MARS Lesson Card Games MARS Lesson Lottery Holt 10.3 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core 7.5 6 Class