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:
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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