# 7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

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1 Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student Prep Lesson 1.1 s and Decimals Real World Video s Explore Activity p. 7 Explain Examples 1-2 p. 8-9 Guided Practice p. 10 HW: Independent Practice p Lesson 1.1 s and Decimals Differentiate Instruction Cooperative Learning & Critical Thinking Independent Practice p Lesson Quiz HW: Online homework assignment Lesson 1.2 Relationships Between Sets of s Math on the Spot Video Web p Explore Activity: Where are you from? Explain Examples 1-3 p , Interactive Whiteboard Examples Guided Practice p. 16 HW: Independent Practice Lesson 1.2 Relationships Between Sets of s Differentiate Instruction Kinesthetic Experience & Multiple Representations Independent Practice p Lesson Quiz How do you convert a rational number to a decimal? Can you use long division to show that two fractions are equivalent? Does a fraction need to be in simplest terms to be converted into a decimal? How can you describe relationships between sets of rational numbers? What characteristics are shared by integers that are not whole numbers? What is the difference between the set of whole numbers, the set of integers, and the set of rational numbers, and how are they related. Conceptual Vocabulary Numbers Pattern Numbers Whole Numbers Repeating Decimal Terminating Decimal Numbers Numbers Whole Numbers Repeating Decimal Terminating Decimal Numbers Numbers Whole Numbers Set Subset

3 Unit One: Numbers & Operations Module One: s Sep 8 Lesson 1.5 Multiplying s Explore Student # lines and model sketching (ISN) Explain p (Math on the Spot & Personal Math Trainer) Additional Examples on Interactive Whiteboard Cooperative Learning Strategy p. 38 (Think-Pair-Share) Guided Practice p. 38 How do you multiply rational numbers? How can you determine what the sign of the product of n negative numbers will be? Would this rule also work for decimals? Sep 9 Sep 10 Sep 11 Lesson 1.5 Multiplying s Differentiate Instruction Cooperative Learning & Critical Thinking Independent Practice p Lesson Quiz HW: Multiplying s Practice Differentiated Instruction Online Lesson 1.6 Dividing Explore Activity 1 & 2 p (ISN) Math on the Spot & Personal Math Trainer Guided Practice p. 44 Extend the Math Whale Weight Table HW: Dividing s Practice Differentiated Instruction Online Lesson 1.6 Dividing s Differentiate Instruction Graphic Organizers & Critical Thinking Extend the Math Whale Weight Table Independent Practice p How do you find the product of three or more rational numbers? How do you divide rational numbers? HW: Ready to Move On Sep 12 Module One Review/Reteach Module One Texas Test Prep Review Testing Tips Unit 1 Study Guide Review & Performance Tasks p Consider Grouping/Chart Paper HW: Finish Study Guide & Study for Exam

4 Unit One: Numbers & Operations Module One: s Sep 15 Unit 1 Exam p Leveled Unit Test online - Sep 16

5 Unit 2: Ratios & Proportional Relationships Module 2: s and Proportionality Day/Date TEKS Activities and Resources Essential Question Sep 17 Sep 18 Sep 19 Sep 22 Sep 23 Lesson 2.1 Unit s Real World Video Vocabulary Preview p.56 & 59 (ISN) Are You Ready p. 58 Explore Activity p.61 Lesson 2.1 Unit s Explain Example 1 & 2 p Math on the Spot & Personal Math Trainer Guided Practice p. 64 Lesson 2.1 Unit s Differentiate Instruction Home Connection Independent Practice p Lesson Quiz HW: Unit s Practice (online) Lesson 2.2 Constant s of Change Explore Activity p Explain Ex 1 & 2 (ISN) Interactive White Board Guided Practice p. 70 Personal Math Trainer & Math on the Spot HW: Independent Practice p Lesson 2.2 Constant s of Change Differentiate Instruction Cooperative Learning (Think-Pair-Share) Independent Practice p Lesson Quiz How can you use rates and proportionality to solve real-world problems? How do you find and use unit rates? Which gives you the best idea of which pool is leaking faster, the rate or the unit rate? Why would you rewrite a rate as a unit rate? How can you identify and represent proportional relationships? How do you find the values in the table? What characteristic do you look for in the table in order to decide whether the relationship is proportional? How do you know when a relationship, is a proportional relationship? Conceptual Vocabulary Proportional Relationship Constant Conversion Factor Equivalent Ratios Ratios s Unit Constant Constant of Proportionality Unit Constant Constant of Proportionality Unit Constant Constant of Proportionality Unit Constant Constant of Proportionality

6 Unit 2: Ratios & Proportional Relationships Module 2: s and Proportionality Sep 24 Sep c 7.4c Lesson 2.3 Proportional Relationships and Graphs Explore Activity p.73 Explain p (ISN) Math on the Spot, Animated Math, Personal Math Trainer Additional examples using the Interactive Whiteboard Guided Practice p. 76 HW: Independent Practice p Proportional Relationships and Graphs Differentiate Instruction Cooperative Learning Activity Independent Practice p Lesson Quiz HW: Ready to Go On? p. 79 How can you use graphs to represent and analyze proportional relationships? Why are the intervals used on the axes of the graph different? What two characteristics do you look for in the graph in order to decide whether the relationship is proportional? Proportional Relationships Proportional Relationships Sep c Module 2 s and Proportionality Texas Test Prep (Test) p.80 HW: Are You Ready (Mod 3) p. 82 Proportional Relationships

7 Unit 2: Ratios & Proportional Relationships Module 3: Proportions and Day/Date TEKS Activities and Resources Essential Question Sep 29 Sep 30 Oct 1 Oct 2 Oct 3 7.4e 7.4e 7.4e 7.4e 7.4e Module 3: Proportions and Real World Video Are You Ready p. 82 Online and Print Resources for Intervention Reading Start-up p.83 Tri-fold (ISN) Lesson 3.1 Converting Measurements Explore Activity p. 85 Explain Example 1 & 2 p Additional Examples Interactive White Board Math on the Spot & Personal Math Trainer Guided Practice p. 88 (Interactive Whiteboard) HW: Independent Practice p Lesson 3.1 Converting Measurements Differentiate Instruction Critical Thinking (Group Project) Independent Practice p Lesson Quiz Extend the Math Activity HW: Online Homework Options Lesson 3.2 Increase and Decrease Explore Activity p.91 Explain Ex 1 & 2 p (ISN) Interactive White Board Math on the Spot & Personal Math Trainer Guided Practice p. 94 HW: Independent Practice p Lesson 3.2 Increase & Decrease Differentiate Instruction Cooperative Learning (Think-Pair-Share) Independent Practice p Extend the Math Activity 3.2 Lesson Quiz How can you use proportions and percent to solve real-world problems? How can you use ratios and proportions to convert measurements Could you find the area in square meters by calculating the area in square feet first, then setting up a proportion with the foot to meter conversion factor? How do you use percent s to describe change? What does it mean to have a 100% increase in something? How do you find the amount of change? If you were not told a situation is a percent increase, how could you recognize that it is? Conceptual Vocabulary Capacity Customary System Length Mass Metric System Weight Capacity Customary System Length Mass Metric System Weight Capacity Customary System Length Mass Metric System Weight Increase Decrease Increase Decrease

8 Unit 2: Ratios & Proportional Relationships Module 3: Proportions and Oct 6 Oct Markup and Markdown Explore Multiple Representations Explain p Math on the Spot, Animated Math, Personal Math Trainer Additional examples using the Interactive Whiteboard Guided Practice p. 100 HW: Independent Practice p Markup and Markdown Differentiate Instruction Kinesthetic Experience or Cooperative Learning Activity Independent Practice p Lesson Quiz HW: Extend the Math Activity How can you rewrite expressions to help you solve markup and markdown problems? How does a bar model showing the expression for a sale price compare to one showing the expression for a retail price? s Proportional Relationships Equivalent Numbers s Proportional Relationships Equivalent Numbers Oct 8 Oct e 7.13e Lesson 3.4 Applications of Engage and Explore Lesson Components Connect to Daily Life Explain p Math on the Spot and Personal Math Trainer Guided Practice p. 106 HW: Independent Practice p Lesson 3.4 Applications of Differentiate Instruction Activity Cooperative Learning Independent Practice p HW: Ready to Go On? p.109 How do you use percent s to solve problems? To find the simple interest on an original amount, what two pieces of information do you need? How are sales tax, simple interest, tip, and markups related? Simple Interest Principal Simple Interest Principal Module 3 Proportions and Texas Test Prep Module 3 p.110 (Test) Oct 10 HW: Module 4 Are you Ready? p. 112 Reteach worksheets available online.

9 Unit 2 Ratios and Proportional Relationships Module 4: Proportionality in Geometry Day/Date TEKS Activities and Resources Essential Question Oct 13 Oct 14 Oct 15 Oct 16 Oct b 7.5c Unit 4 PREVIEW LESSONS Real World Video Are You Ready p. 112 Online and Print Resources for Intervention Reading Start-up p. 113 (ISN) Key Term Foldable Lesson 4.1 Similar Shapes and Proportions Explore Activity p. 115 (Math on the Spot) Explain Connect vocabulary and Examples p Animated Math and Personal Math Trainer Guided Practice p. 118 (Whiteboard) HW: Independent Practice p Lesson 4.1 Similar Shapes and Proportions Differentiate Instruction Kinesthetic Experience Independent Practice p Lesson Quiz Lesson 4.2 Using Similar Shapes Explore Motivate the Lesson Explain p Math on the Spot & Personal Math Trainer Guided Practice p. 124 HW: Independent Practice p Lesson 4.2 Using Similar Shapes Differentiate Instruction Kinesthetic Experience Independent Practice p Lesson Quiz How can you use proportions to solve realworld geometry problems? How can you use ratios to determine if two figures are similar? Are any two equilateral triangles similar? Describe how to use ratios to determine whether two shapes are similar? How can you use similar shapes to find unknown measures? When using shadow lengths to measure something indirectly, how can you write a proportion using corresponding sides? Conceptual Vocabulary Circumference Corresponding Angles Corresponding Sides Diameter Indirect Measurement Pi, Radius Scale, Scale Drawing Similar Shapes Similar Shapes Corresponding Angles Corresponding Sides Similar Shapes Corresponding Angles Corresponding Sides Width Length Similar Shapes Corresponding Angles Corresponding Sides Width, Length Similar Shapes Corresponding Angles Corresponding Sides Width, Length

10 Unit 2 Ratios and Proportional Relationships Module 4: Proportionality in Geometry Oct 20 Oct c Lesson 4.3 Similar Shapes and Scale Drawings Engage Motivate the Lesson Explore Activity p Personal Math Trainer & Math on the Spot Guided Practice p. 130 Engage with the Whiteboard Lesson 4.3 Similar Shapes and Scale Drawings Differentiate Instruction Kinesthetic Experience or Modeling Scale Rulers could be made and kept in (ISN) Independent Practice p Lesson Quiz Extend the Math Design a Billboard How can you use scale drawings to solve problems? How do you use the scale on a scale drawing to find the measurements of the actual object? Scale Drawing Scale Scale Drawing Scale Oct 22 CBA #2 Oct c Lesson 4.4 Ratios and Pi Explore p.133 Explain p Interactive Whiteboard, Math on the Spot, Personal Math Trainer Guided Practice p. 136 What is the relationship between the circumference of a circle and its diameter? Pi Circumference Diameter Radius Ratio Oct b TOTD: Differentiate Instruction Cooperative Instruction Think-Pair-Share Lesson 4.4 Ratios and Pi Independent Practice p Lesson 4.4 Quiz Extend the Math Blue and Purple Circle Project HW: Ready to Go On? If you know the length of the radius or diameter for two circles, how can you show that the circles are proportional? Pi Circumference Diameter Radius Ratio

11 Unit 2 Ratios and Proportional Relationships Module 4: Proportionality in Geometry Oct 27, 7.4c,,7.5b 7.5c Module 4: Proportionality in Geometry Texas Test Prep p. 140 Reteach/Challenge Worksheets Unit 2 Study Guide & Performance Task p Pi Circumference Diameter Radius Ratio Oct 28, 7.4c,,7.5b 7.5c Unit 2 Ratios and Proportional Relationships Unit 2 Mixed Review Texas Test Prep

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