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.
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