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

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1 Pacing Guide Overview 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 7 th Grade curriculum and 41 total lessons days per lesson, 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 Please keep track of pacing for each unit and submit changes to activities and pacing so that updates can be made at the end of the school year. Unit 1 (7 Lessons) Unit 2 (6 Lessons) Unit 3 (7 Lessons) Unit 4 (6 Lessons) Unit 5 (6 Lessons) Unit 6 (4 lessons) Unit 7 (5 Lessons) Approximate Time Lengths for Units Units Suggested Pacing Personal Notes on Pacing Total = 172 Instructional Days 29 days 26 days 29 days 27 days 26 days 16 days 19 days

2 Unit 1 The Number System This unit should take approximately 29 days with Pre-Requisites and 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 s 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 F.1 Equivalent fractions F.2 Simplify fractions F.3 Understanding fractions F.4 Least common denominator F.5 Compare and order fractions C.1 Add and subtract decimals C.3 Multiply decimals C.5 Divide decimals 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 5 Class 2 Class 5 Class

3 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? Problem Solving Connections 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 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 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 Division Task 7 th Grade On Core 1.6 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 8 Class 2 Class

4 Unit 2 Ratios and Proportional Relationships This unit should take approximately 26 days with Pre-Requisite Skills and Assessments Build in Non-Calculator Warm-Ups and Activities 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 2.1 How do you find and compare unit rates? How do you simplify complex fractions? 7 th Grade On Core 2.2 How can you use tables and equations to identify and describe proportional relationships? 7 th Grade On Core 2.3 How can you use graphs to represent and analyze proportional relationships? J.1 Understanding ratios J.2 Equivalent ratios J.3 Equivalent ratios word problems K.1 What percentage is illustrated? K.2 Convert between percents, fractions, and decimals S.1 Points on coordinate graphs S.2 Quadrants and axes S.3 Coordinate graphs as maps Holt 5.2 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core 2.1 J.4 Compare ratios: word problems J.5 Unit rates L.3 Unit prices Holt 12.5 Reteach, Reading Strategies, Alternate Opener: Exploration 7 th Grade On Core 2.2 & 7 th Grade On Core 2.3 J.6 Do the ratios form a proportion? J.7 Do the ratios form a proportion: word problems X.1 Identify proportional relationships X.2 Find the constant of variation J.11 Rate of change J.12 Constant rate of change 5 Class

5 Holt 5.3 & 5.4 How do you use proportions to solve problems? 7 th Grade On Core 2.4 How do you use percents to solve problems? Problem Solving Connections Summative Assessment Holt 5.3 Reteach, Reading Strategies, Know It Notebook Holt 5.4 Reteach, Reading Strategies, Know It Notebook J.8 Solve proportions J.9 Solve proportions: word problems N.3 Compare and convert customary units N.4 Mixed customary units N.5 Compare and convert metric units N.6 Convert between customary and metric systems NCTM Highway Robbery Holt 6.6 Reteach, Reading Strategies Holt 6.7 Reteach, Reading Strategies, Know It Notes Holt 6.5 Reteach, Reading Strategies, Know It Notes 7 th Grade On Core 2.4 MARS Lesson Increasing and Decreasing Quantities by a Percent L.6 Percent of a number: tax, discount, and more L.7 Find the percent: tax, discount, and more L.9 Multi-step problems with percents L.11 Simple interest K.5 Percents of numbers and money amounts K.6 Percents of numbers: word problems K.9 Percent of change K.10 Percent of change: word problems MARS Tasks: Sale!, 25% Sale, At the Jewelry Store, Ice Cream NCTM Now and Then 5 Class

6 Unit 3 Expressions and Equations This unit should take approximately 29 days with Pre-Requisite Skills and Assessments Build in Non-Calculator Warm-Ups and Activities 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 3.2 How can you rewrite expressions to help you solve problems? *3.2 reviews concepts from Unit 2, but emphasis should be placed on rewriting real-world expressions in many alternate forms not just problems and expressions involving percents 7 th Grade On Core 3.3 How do you solve equations that contain multiple operations? U.1 Write variable expressions U.2 Evaluate single-variable expressions I U.3 Evaluate single-variable expressions II (optional) U.4 Evaluate multi-variable expressions U.5 Evaluate variable expressions for numerators and denominators Y.1 Properties of addition and multiplication 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 Y.2 Distributive property Y.3 Simplify variable expressions using properties 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 7 th Grade On Core 3.2 TImiddlegrades Discount Savings Activity Holt 2.8 Reteach, Reading Strategies, Know It Notebook, and Challenge Holt 2.7 Reteach, Reading Strategies, Know It Notebook Holt 11.2 Reteach, Reading Strategies, and Know It Notebook 7 th Grade On Core 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 MARS Lesson: Steps to Solving Equations 6 Class

7 7 th Grade On Core 3.4 How do you solve inequalities that involve one operation? 7 th Grade On Core 3.5 How do you solve inequalities that involve multiple operations? 7 th Grade On Core 3.6 How can you solve problems by using expressions, equations, and inequalities? *On Core resources focus on percent problems, but emphasis should also be made on use of expressions, equations, and inequalities in solving all types of real-world problems Problem Solving Connections Summative Assessment 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) 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) 7 th Grade On Core 3.6 Holt 6.6 Know It Notes NCTM Building Bridges MARS Task 25% Sale MARS Task Ice Cream MARS Task Sale! MARS Task At the Jewelry Store : K.7 Solve percent equations K.8 Solve percent equations: word problems L.8 Sale prices: find the original price

8 Unit 4 Geometry: Modeling Geometric Figures This unit should take approximately 27 days with Pre-requisites and Assessments 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 4.1 How can you use scale drawings to solve problems? Holt 5.5 How can you use scale factors to determine whether figures are similar and to find missing dimensions in similar figures? How can you choose an appropriate scale and use it to draw similar figures and scale drawings? P.1 Lines, line segments, and rays P.2 Parallel, perpendicular, intersecting P.3 Name, measure, and classify angles (adobe) 8 th Grade IXL Lessons D.2 Simplify fractions H.2 Equivalent ratios H.3 Equivalent ratios: word problems H.5 Unit rates H.6 Do the ratios form a proportion? H.7 Do the ratios form a proportion: word problems H.8 Solve proportions H.9 Solve proportions: word problems Kuta Software Line segments and their measures (inches) Kuta Software Line segments and their measures (cm) Kuta Software Angles and Their Measures 7 th Grade On-Core 4.1 Holt 5.8 Exploration J.13 Scale drawings and scale factors Activity 1: Proportions, Ratios, and Scale Drawings Unit 19 Scale Drawing MEP Project Activities Holt 5.5 Know It Notebook SpongeBob activity Similar Figures activity : P.12 Similar and congruent figures P.13 Similar figures: side lengths and angle measures Identifying and Drawing Similar Figures MARS Task: Photographs NCTM Making a Scale Drawing Activities from EastConn NCTM How Far Can You Go In a New York Minute (at a minimum, use this activity for students to explore the fact that the New York City Subway map is not drawn to scale) 5 Class

9 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 4.3 How can you identify cross sections of threedimensional figures? 7 th Grade On-Core 4.4 How can you use angle pairs to solve problems? Problem Solving Connections Summative Assessment 7 th Grade On Core 4.2 Triangle Inequality Activities 7 th Grade On-Core 4.3 Geometry IXL Lessons H.4 Cross-sections of three-dimensional figures Holt 7.1 Reteach and Know It Notebook 7 th Grade On-Core 4.4 : P.4 Identify complementary, supplementary, vertical, adjacent, and congruent angles P.5 Find measures of complementary, supplementary, vertical, and adjacent angles Kuta Software Angle Pair Relationships 2 Class

10 Unit 5 Circumference, Area, and Volume This unit should take approximately 26 days with Pre-requisites and Assessments 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 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 of composite figures? P.18 Area of rectangles and parallelograms P.19 Area of triangles and trapezoids P.20 Area and perimeter word problems 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 Worksheet modified from Holt 8.3 resources 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 7 th Grade On Core 5.3 Worksheet modified from Holt 8.1 & 8.2 resources Worksheets: Area of Familiar Figures; Fish, Birds, Animals, and Objects 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 NCTM Activity: Planning a Playground

11 7 th Grade On Core 5.4 How do you find the surface area of a figure made of prisms? 7 th Grade On Core 5.5 How do you find the volume of a figure made up of cubes and prisms? Problem Solving Connections Summative Assessment 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 MARS Lesson: Using Dimensions: Designing a Sports Bag Holt 8.5 Reteach & Know It Notebook (Volume only) 7 th Grade On Core 5.5 : P.29 Volume Geometry IXL Lessons: S.4 Volume of prisms and cylinders Supplemental Worksheets MARS Lesson: Estimations and Approximations: The Money Munchers NCTM Activity: Fishing for the Best Prism NCTM Activity: Popcorn, Anyone?

12 Unit 6 Population and Sampling This unit should take approximately 16 days with Pre-requisites and Assessments 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 6.1 How can you use a sample to gain information about a population? 7 th Grade On Core 6.2 How can you use samples to make and compare predictions about a population? 7 th Grade On Core 6.3 How can you use measures of center and variability to compare two populations? How can you use measures of center and variability to describe a population? Problem Solving Connections Summative Assessment Modified Resources from Holt 9.2 and 9.5 Holt 9.5 Reading Strategies Holt 9.4 Reteach, Reading Strategies, and Know It Notes Holt 9.3 Reteach, Reading Strategies, and Know It Notes O.1 Interpret tables O.2 Interpret line plots O.3 Create line plots O.7 Interpret histograms O.8 Create histograms O.9 Create frequency charts O.14 Interpret box-and-whisker plots AA.1 Calculate mean, median, mode, and range Algebra IXL Lessons JJ.2 Quartiles Holt 9.1 Reteach, Reading Strategies, and Know It Notes 7 th Grade On Core 6.1 AA.5 Identify representative, random, and biased samples Algebra IXL Lessons JJ.3 Identifying biased samples MARS Lesson: Estimating: Counting Trees 7 th Grade On Core 6.3 AA.2 Interpret charts to find mean, median, mode, and range AA.3 Mean, median, mode, and range: find the missing number AA.4 Changes in mean, median, mode, and range Algebra IXL Lessons JJ.4 Mean Absolute deviation MARS Task Candy Bars MARS Task Temperatures NCTM Using NBA Statistics for Box and Whisker Plots NCTM Playing Games 5 Class

13 Unit 7 Probability and Simulations This unit should take approximately 19 days with Assessments 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 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 7.1 How can you describe the likelihood of an event? 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.7 Multiply fractions G.8 Multiply fractions and whole numbers K.2 Convert between percents, fractions, and decimals (These IXL Lessons have been assigned/reviewed in previous units. Either have students continue to work on the same lessons or replace them with the corresponding 8 th Grade IXL Lessons.) Holt 10.4 Reteach, Reading Strategies, Know It Notebook Holt 10.2 Reteach, Reading Strategies, Know It Notebook Holt 10.6 Reteach, Reading Strategies, Know It Notebook 7 th Grade On Core th Grade On Core 7.3 : Z.1 Probability of simple events 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 Holt 10.1 Reading Strategies, Reteach, Know It Notebook 7 th Grade On Core 7.1 MARS Task: Flora, Freddy, and the Future MARS Task: Will it Happen? period period 5 Class

14 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 10.8 Reteach, Reading Strategies, Know It Notebook 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 Class