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Math 7 nd

2 9-weeks Overview: PROPORTIONALITY 12/15-19

Wrap-up

12/8-12

11/24-28

Unit 7: 12/1-5 PROBABILITY Thanksgiving Holiday

11/17-21 11/10-14 11/3-7 10/27-31 10/20-24

Unit 6: SIMILARITY

Unit 5: PERCENT APPLICATIONS

Unit 4: BASICS OF PROPORTIONALITY


Unit 4: Proportionality – Unit Rate, Tables, Graphs and Equations Unit 4: Unit Rate, Represent constant rate of change from table, graph, and equation (October 20 – 30)

Focus TEKS:

Student Expectations

7.4 Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to: 7.4A – represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt; (Readiness) 7.4B – calculate unit rates from rates in mathematical and real world problems; 7.4C – determine the constant of proportionality (k = y/x) within mathematical and real-world problems; 7.4D – solve problems involving ratios, rates, and percents, including multi-step problems involving percent of increase and percent decrease, and financial literacy problems. (Readiness) Concept 1 Unit Rate

Concepts

Learning Objectives

Resources for Teachers:

Literacy Strategies:

Go to Overview

Suggested # of Days: 9

Concept 2 Proportionality in Tables & Equations

 (7.4B)Calculate unit rates from: o numbers. o real world problems.  (7.4D)Solve problems involving rates

 (7.4A)Represent constant rate of change in problems given: o tables o words o numbers o algebra  (7.4C)Determine the constant of proportionality (k=y/x) in problems.  Texas Go Math – 2.2 Constant Rates of Change

 Texas Go Math – 2.1 Unit Rates

Vocabulary: *Rate *Unit Rate

Vocabulary: *Ratio *Rate of Change *Proportion *Constant *Constant of Proportionality

Academic Conversation: A box of tiles contains 10 square feet of tiles and sells for $25. Is there more than one way to describe this relationship using a unit rate? Explain your thinking to your partner.

Academic Conversation: Use the following sentence starter to complete the sentence. I can represent the constant rate of change in a table by . . .

Writing to Learn: Explain in complete sentences how to find the better buy on candy bars, if Brand A charges $2.48 for 4 and Brand B charges $3.96 for 6.

Writing to Learn: Explain how to find the constant of proportionality in a table.

Go to 2nd 9-weeks Instructional Calendar


Unit 4: Proportionality – Unit Rate, Tables, Graphs and Equations 0) Unit 4: Unit Rate, Represent constant rate of change from table, graph, and equation (October 20 – 30)

Focus TEKS:

Student Expectations

Concepts

Learning Objectives

Resources for Teachers:

Literacy Strategies:

Go to Overview

Suggested # of Days: 9

7.4 Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to: 7.4A – represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt; (Readiness) 7.4B – calculate unit rates from rates in mathematical and real world problems; 7.4C – determine the constant of proportionality (k = y/x) within mathematical and real-world problems; 7.4D – solve problems involving ratios, rates, and percents, including multi-step problems involving percent of increase and percent decrease, and financial literacy problems. (Readiness) Concept 4 Concept 3 Proportionality in pictures, tables, verbal, graphs, Proportionality in Graphs and equations  (7.4A)Represent constant rate of change in  (7.4A)Represent constant rate of change in problems given: problems given: o tables o pictures o words o tables o numbers o words o algebra o numbers o graphs o algebra o graphs  (7.4C)Determine the constant of proportionality (k=y/x) in problems.  (7.4C)Determine the constant of proportionality (k=y/x) in problems.  Texas Go Math – 2.3 Proportional  Supplement with Alief ISD resource Relationships and Graphs

Vocabulary: *Ratio *Rate of Change *Proportion *Constant *Constant of Proportionality

Vocabulary: *Ratio *Rate of Change *Proportion *Constant *Constant of Proportionality

Academic Conversation: Is rate of change always the constant of proportionality? Is the constant of proportionality always the rate of change?

Academic Conversation: Explain to your partner how to go from a pictorial model to a table, equation or graph.

Writing to Learn: How can you use a point on the graph to find the constant of proportionality?

Writing to Learn: Do you prefer to write an equation from a situation, table or graph, why?

Go to 2nd 9-weeks Instructional Calendar


Unit 4: Proportionality – Unit Rate, Tables, Graphs and Equations Unit 4: Unit Rate, Represent constant rate of change from table, graph, and equation (October 20 – 30)

Suggested # of Days: 9

Example 1 (7.4B/7.4D, Concept 1): Louise wants to buy some socks. The packages of socks she could buy are listed below. • 4 pairs of socks for $12.64 • 6 pairs of socks for $18.00 Louise concludes that the package containing 6 pairs of socks is a better price. Which statement best describes her conclusion?

Examples:

A B C D

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Louise is correct because the package of 6 pairs costs exactly $0.16 less per pair. Louise is incorrect because the package of 4 pairs costs exactly $0.16 less per pair. Louise is correct because the package of 6 pairs costs exactly $0.08 less per pair. Louise is incorrect because the package of 4 pairs costs exactly $0.08 less per pair.

Example 2 (7.4C, Concept 2): The price of bananas at another store can be determined by the equation: P=$0.35n, where P is the price and n is the number of pounds of bananas. What is the constant of proportionality (unit rate)?

Example 3 (7.4C, Concept 3): The graph below represents the price of the bananas at one store. What is the constant of proportionality?

Go to 2nd 9-weeks Instructional Calendar


Instructional Calendar October 20 - December 19, 2014

Monday

Tuesday

Wednesday

Thursday

Friday

7.4B, 7.4D

7.4B, 7.4D

7.4A, 7.4C

7.4A, 7.4C

7.4A, 7.4C

Unit 4 Concept 1: Unit Rates

Unit 4 Concept 1: Unit Rates

Unit 4 Concept 2: Proportional Relationships

Unit 4 Concept 2: Proportional Relationships

Unit 4 Concept 3: Proportional Relationships and Graphs

7.4A, 7.4C

7.4A, 7.4B, 7.4C, 7.4D

7.4A, 7.4B, 7.4C, 7.4D

7.4A, 7.4B, 7.4C, 7.4D

7.4E

Unit 4 Concept 3: Proportional Relationships and Graphs

Unit 4 Concept 4: Proportional Relationships

Review

CCA 2-1

Unit 5 Concept 1: Measurement Conversions with Proportionality

7.4D

7.4D

7.4D

7.4D

7.4D

Unit 5 Concept 2: Percent of Increase and Decrease

Unit 5 Concept 2: Percent of Increase and Decrease

Unit 5 Concept 3: Percent Markup and Discount

Unit 5 Concept 3: Percent Markup and Discount

Unit 5 Concept 4: Applications with Percents including Simple Interest

7.5A

7.5A, 7.5C

Unit 6 Concept 1: Critical Attributes of Similar Figures

Unit 6 Concept 2: Attributes of and Finding missing side of Similar Figure

Review

CCA 2-2

November November November 17 - 21 10 - 14 3-7

October 27 - 31

Date

October 20 - 24

Math 7: 2nd 9-weeks

7.4D Unit 5 Concept 4: Applications with Percents including Simple Interest

DCA 1

DCA 1

7.5A, 7.5C

7.5C

7.5C

Unit 6 Concept 2: Attributes of and Finding missing side of Similar Figure

Unit 6 Concept 3: Similar Figures and Scale Drawings

Unit 6 Concept 3: Similar Figures and Scale Drawings

December December December 15 - 19 8 - 12 1-5

November 24 – 28: THANKSGIVING HOLIDAY 7.6A, 7.6B, 7.6C, 7.6I Unit 7 Concept 3: Experimental Probability of Compound Events

7.6A, 7.6B, 7.6C, 7.6I Unit 7 Concept 3: Experimental Probability of Compound Events

Unit 7 Concept 5: Theoretical Probability and Simple Events

7.6A, 7.6D, 7.6E, 7.6I Unit 7 Concept 5: Theoretical Probability of Compound Events

7.6A, 7.6D, 7.6E, 7.6I Unit 7 Concept 5: Theoretical Probability of Compound Events

Unit 7 Concept 6: Making Predictions with Theoretical Probability

x-tra day

x-tra day

Review

CCA 2-3

7.6A, 7.6E

7.6I

Unit 7 Concept 1: Simple Probability and its Complement

Unit 7 Concept 2: Experimental Probability and Simple Events

7.6C, 7.6H

7.6I

Unit 7 Concept 4: Making Predictions with Experimental Probability

7.6C, 7.6H Unit 7 Concept 4: Making Predictions with Experimental Probability 7.6D, 7.6H, 7.6I

7.6D, 7.6H, 7.6I Unit 7 Concept 6: Making Predictions with Theoretical Probability

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Go to Pacing Guide: Unit 4

Unit 5

Unit 6

Unit 7


7th grade 2nd 9 weeks