Grade 7 Accelerated Mathematics, Quarter 2, Unit 2.3 Applications of Ratios and Rates Length 10 days
Content to be learned · Use various strategies to determine whether two quantities are proportional (e.g., by constructing a rate table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin). · Solve problems involving scale drawings of geometric figures. · Reproduce a scale drawing at a different scale. · Compute unit rates with ratios of fractions including ratios of lengths, areas, and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. · Identify the unit rate (constant of proportionality) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. · Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the origin and (1, r) where r is the unit rate.
Unit Questions · In what ways can you determine whether two quantities are proportional? · How can you identify proportionality in a table? In a graph? · How can a constant of proportionality (unit rate) be identified using a graph? A table? An equation?
Monday January 4 Understanding Ratios Equivalent Ratios Comparing Ratios Tuesday January 5 Unit Rate
Unit Rate Lesson
Wednesday - Jan 6 - STAR Testing
Thursday - Jan 7 Lesson on Proportions
Click here for proportions lesson
Friday Jan 8 - Constant of Proportionality (graphs)
Monday Jan 9 - Constant of Proportionality (tables IXL K.1, I.1)
Tuesday Jan 10 - Constant of Proportionality (equations)
Wednesday Jan 11 - Constant of Proportionality Practice Modern Teacher
Friday Jan 13 - Constant of Proportionality practice quiz
Tuesday Jan 19 - Constant of proportionality practice TenMarks practice
Wednesday Jan 20 - Unit 2.3 test prep Practice Test HW - Answer the following questions (Complete sentences required)
1) How are ratios used in sports? Provide two examples in your answer. 2) What is unit rate? How can it save you money? 3) How can you tell if two quantities are proportional? 4) Create a table that has a constant of proportionality of 3 5) Create a graph that has a constant of proportionality of 1/2.