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7th Grade Math Foundations for Teaching Unit One: Numbers & Operations – Module One: Rational Number’s Day/Date TEKS - Monday Aug 25 Tuesday Aug 26 Activities and Resources 7.2 (SS) Essential Question First Day Procedures Math Class Student Prep Lesson 1.1 – Rational Numbers and Decimals Real World Video – Rational Numbers Explore Activity – p. 7 Explain – Examples 1-2 – p. 8-9 Guided Practice – p. 10 How do you convert a rational number to a decimal? Can you use long division to show that two fractions are equivalent? HW: Independent Practice – p.11-12 Wednesday Aug 27 Thursday Aug 28 Friday Aug 29 7.2 (SS) 7.2 (SS) 7.2 (SS) Lesson 1.1 – Rational Numbers and Decimals Differentiate Instruction – Cooperative Learning & Critical Thinking Independent Practice – p. 11-12 1.1 Lesson Quiz HW: Online homework assignment Lesson 1.2 – Relationships Between Sets of Rational Numbers Math on the Spot Video – Web p.13 - 15 Explore Activity: “Where are you from?” Explain – Examples 1 - 3 p. 13-15, Interactive Whiteboard Examples Guided Practice – p. 16 HW: Independent Practice Lesson 1.2 – Relationships Between Sets of Rational Numbers Differentiate Instruction – Kinesthetic Experience & Multiple Representations Independent Practice – p. 17-18 1.2 Lesson Quiz 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 Integer Negative Numbers Pattern Positive Numbers Whole Numbers Rational Number Repeating Decimal Terminating Decimal Integer Negative Numbers Positive Numbers Whole Numbers Rational Number Repeating Decimal Terminating Decimal Integer Negative Numbers Positive Numbers Whole Numbers Rational Number Set Subset 7th Grade Math Foundations for Teaching Unit One: Numbers & Operations – Module One: Rational Number’s Monday Sep 1 Tuesday Sep 2 7.3a (SS) Wednesday Sep 3 Thursday Sep 4 Friday Sep 5 7.3a 7.3a 7.3b 7.3a 7.3b Lesson 1.3 – Adding Rational Numbers Explore – Student made number line (Add to ISN) Explain – p. 19-23 (use interactive whiteboard) Math on the Spot Videos – p. 19-23 Animated Math – Rational Number Addition Guided Practice – p. 24 HW: Independent Practice p. 25-26 How can you add rational numbers? Lesson 1.3 – Adding Rational Numbers Differentiated Instruction Project – Student Made Word Wall (Add to ISN) Independent Practice – p. 25-26 1.3 Lesson Quiz If you add two positive numbers and one negative number, will the sum always be positive? Explain. Lesson 1.4 Subtracting Rational Numbers Explore: The Thermometer & Number line activity (ISN) Explain – p.27-30 (utilize Interactive Whiteboard resources) - Use vertical and horizontal number lines - Math on the Spot videos Guided Practice – p. 31 (Interactive Whiteboard) HW: Independent Practice – p. 32-34 Lesson 1.4 Subtracting Rational Numbers Differentiate Instruction Project: Historical Dates Independent Practice – p. 32-34 1.4 Lesson Quiz HW: Subtracting Integers Practice In a real-life context, what could adding a negative number represent? How can you compare and contrast the processes for finding the sum of two numbers with the same sign, the sum of two numbers with different signs, and the sum of two numbers that are opposites? How do you subtract rational numbers? How can you use the number line to check that your answer is reasonable? When will a difference be positive, and when will it be negative? How is subtracting rational numbers similar to adding rational numbers? How can you tell when the difference will be positive or negative? Integer Additive Inverse Opposite Mixed Number Improper Fraction Integer Rational Number Negative Positive Mixed Number Improper Fraction Integer Rational Number Negative Positive Mixed Number Improper Fraction Integer Rational Number Negative Positive 7th Grade Math Foundations for Teaching Unit One: Numbers & Operations – Module One: Rational Number’s Monday Sep 8 Tuesday Sep 9 Wednesday Sep 10 Thursday Sep 11 7.3a 7.3b 7.3a 7.3b 7.3a 7.3b 7.3a 7.3b How do you multiply rational numbers? Lesson 1.5 Multiplying Rational Numbers Differentiate Instruction – Cooperative Learning & Critical Thinking Independent Practice – p. 39-40 1.5 Lesson Quiz How do you find the product of three or more rational numbers? Mixed Number Improper Fraction Integer Rational Number Negative Positive How do you divide rational numbers? Mixed Number Improper Fraction Integer Rational Number Negative Positive HW: Multiplying Integers Practice – Differentiated Instruction Online Lesson 1.6 Dividing Rational Number Explore Activity 1 & 2 – p.41-43 (ISN) Math on the Spot & Personal Math Trainer Guided Practice – p. 44 Extend the Math – Whale Weight Table HW: Dividing Integers Practice – Differentiated Instruction Online Lesson 1.6 Dividing Rational Numbers Differentiate Instruction – Graphic Organizers & Critical Thinking Extend the Math – Whale Weight Table Independent Practice – p. 45-46 HW: Ready to Move On Friday Sep 12 7.2 7.3a 7.3b Mixed Number Improper Fraction Integer Rational Number Negative Positive Lesson 1.5 Multiplying Rational Numbers Explore – Student # lines and model sketching (ISN) Explain – p. 35-37 (Math on the Spot & Personal Math Trainer) Additional Examples on Interactive Whiteboard Cooperative Learning Strategy p. 38 (Think-Pair-Share) Guided Practice – p. 38 Module One Review/Reteach Module One Texas Test Prep – Review Testing Tips Unit 1 Study Guide Review & Performance Tasks – p.49-52 - Consider Grouping/Chart Paper HW: Finish Study Guide & Study for Exam How can you determine what the sign of the product of n negative numbers will be? Would this rule also work for decimals? 7th Grade Math Foundations for Teaching Unit One: Numbers & Operations – Module One: Rational Number’s Monday Sep 15 7.2 7.3a 7.3b Unit 1 Exam – p. 53-54 Leveled Unit Test online Tuesday Sep 16 7th Grade Math Foundations for Teaching Unit 2: Ratios & Proportional Relationships – Module 2: Rates and Proportionality Day/Date TEKS Wednesday Sep 17 Thursday Sep 18 Friday Sep 19 Monday Sep 22 Tuesday Sep 23 Activities and Resources Essential Question 7.4a 7.4b 7.4d Lesson 2.1 Unit Rates Real World Video Vocabulary Preview – p.56 & 59 (ISN) Are You Ready – p. 58 Explore Activity – p.61 How can you use rates and proportionality to solve real-world problems? How do you find and use unit rates? 7.4a 7.4b 7.4d Lesson 2.1 Unit Rates Explain – Example 1 & 2 – p. 62-63 Math on the Spot & Personal Math Trainer Guided Practice – p. 64 Lesson 2.1 Unit Rates Differentiate Instruction – Home Connection Independent Practice – p. 65-66 2.1 Lesson Quiz HW: Unit Rates Practice (online) Which gives you the best idea of which pool is leaking faster, the rate or the unit rate? Lesson 2.2 Constant Rates of Change Explore Activity – p.67-68 Explain – Ex 1 & 2 (ISN) – Interactive White Board Guided Practice – p. 70 Personal Math Trainer & Math on the Spot HW: Independent Practice – p. 71-72 Lesson 2.2 Constant Rates of Change Differentiate Instruction – Cooperative Learning (Think-Pair-Share) Independent Practice – p. 71-72 2.2 Lesson Quiz How can you identify and represent proportional relationships? 7.4a 7.4b 7.4d 7.4a 7.4b 7.4d 7.4a 7.4b 7.4d Why would you rewrite a rate as a unit rate? 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 Percent Ratios Rates Rate Unit Rate Constant Constant of Proportionality Rate Unit Rate Constant Constant of Proportionality Rate Unit Rate Constant Constant of Proportionality Rate Unit Rate Constant Constant of Proportionality 7th Grade Math Foundations for Teaching Unit 2: Ratios & Proportional Relationships – Module 2: Rates and Proportionality Wednesday Sep 24 Thursday Sep 25 Friday Sep 26 7.4a 7.4c 7.4d 7.4a 7.4c 7.4d 7.4a 7.4b 7.4c 7.4d Lesson 2.3 Proportional Relationships and Graphs Explore Activity – p.73 Explain – p.74-75 (ISN) Math on the Spot, Animated Math, Personal Math Trainer Additional examples using the Interactive Whiteboard Guided Practice – p. 76 HW: Independent Practice – p. 77-78 2.3 Proportional Relationships and Graphs Differentiate Instruction – Cooperative Learning Activity Independent Practice – p. 77-78 2.3 Lesson Quiz HW: Ready to Go On? – p. 79 Module 2 – Rates and Proportionality Texas Test Prep (Test) – p.80 HW: Are You Ready (Mod 3) p. 82 How can you use graphs to represent and analyze proportional relationships? Rate Proportional Relationships Why are the intervals used on the axes of the graph different? Rate Proportional Relationships What two characteristics do you look for in the graph in order to decide whether the relationship is proportional? Rate Proportional Relationships 7th Grade Math Foundations for Teaching Unit 2: Ratios & Proportional Relationships – Module 3: Proportions and Percent Day/Date TEKS Monday Sep 29 Tuesday Sep 30 Wednesday Oct 1 Thursday Oct 2 Friday Oct 3 7.4d 7.4e 7.4d 7.4e 7.4d 7.4e 7.4d 7.4e 7.4d 7.4e Activities and Resources Essential Question Module 3: Proportions and Percent Real World Video Are You Ready – p. 82 Online and Print Resources for Intervention Reading Start-up – p.83 Tri-fold (ISN) How can you use proportions and percent to solve real-world problems? Lesson 3.1 Converting Measurements Explore Activity – p. 85 Explain – Example 1 & 2 – p. 86-87 Additional Examples – Interactive White Board Math on the Spot & Personal Math Trainer Guided Practice – p. 88 (Interactive Whiteboard) HW: Independent Practice – p. 89-90 Lesson 3.1 Converting Measurements Differentiate Instruction – Critical Thinking (Group Project) Independent Practice – p. 89-90 3.1 Lesson Quiz Extend the Math Activity How can you use ratios and proportions to convert measurements HW: Online Homework Options Lesson 3.2 Percent Increase and Decrease Explore Activity – p.91 Explain – Ex 1 & 2 – p.92-93 (ISN) – Interactive White Board Math on the Spot & Personal Math Trainer Guided Practice – p. 94 HW: Independent Practice – p. 95-96 Lesson 3.2 Percent Increase & Percent Decrease Differentiate Instruction – Cooperative Learning (Think-Pair-Share) Independent Practice – p. 95-96 Extend the Math Activity 3.2 Lesson Quiz 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? Conceptual Vocabulary Capacity Customary System Length Mass Metric System Weight Percent Capacity Customary System Length Mass Metric System Weight Percent Capacity Customary System Length Mass Metric System Weight Percent Percent Increase Percent Decrease 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? Percent Increase Percent Decrease 7th Grade Math Foundations for Teaching Unit 2: Ratios & Proportional Relationships – Module 3: Proportions and Percent Monday Oct 6 Tuesday Oct 7 Wednesday Oct 8 Thursday Oct 9 7.4d 7.4d 7.4d 7.13e 7.4d 7.13e 3.3 Markup and Markdown Explore – Multiple Representations Explain – p.97-99 Math on the Spot, Animated Math, Personal Math Trainer Additional examples using the Interactive Whiteboard Guided Practice – p. 100 HW: Independent Practice – p. 101-102 3.3 Markup and Markdown Differentiate Instruction – Kinesthetic Experience or Cooperative Learning Activity Independent Practice – p. 101-102 3.3 Lesson Quiz HW: Extend the Math Activity How can you rewrite expressions to help you solve markup and markdown problems? Rational Numbers Percent Proportional Relationships Equivalent Numbers How does a bar model showing the expression for a sale price compare to one showing the expression for a retail price? Rational Numbers Percent Proportional Relationships Equivalent Numbers Lesson 3.4 Applications of Percent Engage and Explore Lesson Components – Connect to Daily Life Explain – p. 103-105 Math on the Spot and Personal Math Trainer Guided Practice – p. 106 HW: Independent Practice – p. 107-108 Lesson 3.4 Applications of Percent Differentiate Instruction Activity – Cooperative Learning Independent Practice – p. 107-108 How do you use percent’s to solve problems? HW: Ready to Go On? – p.109 Module 3 – Proportions and Percent Texas Test Prep – Module 3 – p.110 (Test) Friday Oct 10 7.3a HW: Module 4 – Are you Ready? – p. 112 Reteach worksheets available online. 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 Percent Simple Interest Principal Percent 7th Grade Math Foundations for Teaching Unit 2 – Ratios and Proportional Relationships – Module 4: Proportionality in Geometry Day/Date Monday Oct 13 Tuesday Oct 14 Wednesday Oct 15 Thursday Oct 16 Friday Oct 17 TEKS 7.5a 7.5b 7.5c 7.5a 7.5a 7.5a 7.5a Activities and Resources Essential Question Conceptual Vocabulary 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 How can you use proportions to solve realworld geometry problems? Lesson 4.1 – Similar Shapes and Proportions Explore Activity – p. 115 (Math on the Spot) Explain – Connect vocabulary and Examples – p. 116-117 Animated Math and Personal Math Trainer Guided Practice – p. 118 (Whiteboard) HW: Independent Practice – p. 119-120 Lesson 4.1 – Similar Shapes and Proportions Differentiate Instruction – Kinesthetic Experience Independent Practice – p. 119-120 4.1 Lesson Quiz How can you use ratios to determine if two figures are similar? Describe how to use ratios to determine whether two shapes are similar? Similar Shapes Corresponding Angles Corresponding Sides Width Length Lesson 4.2 Using Similar Shapes Explore – Motivate the Lesson Explain – p. 121-123 Math on the Spot & Personal Math Trainer Guided Practice – p. 124 HW: Independent Practice – p. 125-126 Lesson 4.2 Using Similar Shapes Differentiate Instruction – Kinesthetic Experience Independent Practice – p. 125-126 4.2 Lesson Quiz How can you use similar shapes to find unknown measures? Similar Shapes Corresponding Angles Corresponding Sides Width, Length When using shadow lengths to measure something indirectly, how can you write a proportion using corresponding sides? Similar Shapes Corresponding Angles Corresponding Sides Width, Length Are any two equilateral triangles similar? Circumference Corresponding Angles Corresponding Sides Diameter Indirect Measurement Pi, Radius Scale, Scale Drawing Similar Shapes Similar Shapes Corresponding Angles Corresponding Sides 7th Grade Math Foundations for Teaching Unit 2 – Ratios and Proportional Relationships – Module 4: Proportionality in Geometry Monday Oct 20 Tuesday Oct 21 7.5a 7.5c Lesson 4.3 Similar Shapes and Scale Drawings Engage – Motivate the Lesson Explore Activity – p. 127-129 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. 131-132 4.3 Lesson Quiz Extend the Math – Design a Billboard Friday Oct 24 Scale Drawing Scale How do you use the scale on a scale drawing to find the measurements of the actual object? Scale Drawing Scale CBA #2 Wednesday Oct 22 Thursday Oct 23 How can you use scale drawings to solve problems? 7.5c 7.5b Lesson 4.4 Ratios and Pi Explore – p.133 Explain – p. 134-135 Interactive Whiteboard, Math on the Spot, Personal Math Trainer Guided Practice – p. 136 TOTD: Differentiate Instruction – Cooperative Instruction Think-Pair-Share Lesson 4.4 Ratios and Pi Independent Practice – p. 137-138 Lesson 4.4 Quiz Extend the Math – Blue and Purple Circle Project HW: Ready to Go On? What is the relationship between the circumference of a circle and its diameter? Pi Circumference Diameter Radius Ratio 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 7th Grade Math Foundations for Teaching Unit 2 – Ratios and Proportional Relationships – Module 4: Proportionality in Geometry Monday Oct 27 Tuesday Oct 28 Module 4: Proportionality in Geometry 7.4a,7.4b Texas Test Prep – p. 140 7.4c,7.4d Reteach/Challenge Worksheets 7.5a,7.5b Unit 2 – Study Guide & Performance Task p.142-146 7.5c Unit 2 – Ratios and Proportional Relationships 7.4a,7.4b Unit 2 – Mixed Review Texas Test Prep 7.4c,7.4d 7.5a,7.5b 7.5c Pi Circumference Diameter Radius Ratio
