Content Standard MAFS.7.RP Ratios and Proportional Relationships. Assessment Limits Calculator Context MAFS.7.RP.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. MAFS.7.RP.1.1 Compute unit rates associated 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 mile in each 1 hour, compute the unit rate as the 2 4 complex fraction 1 2 1 4 miles per hour, equivalently 2 miles per hour. Numbers in items must be rational numbers. Some items may include one rational number and one whole number (other than 1), but the bulk of items from this standard should involve ratios expressed as fractions. Ratios may be expressed as fractions, with : or with words. Units may be the same or different across the two quantities. Yes Table Item Allowable A recipe used 2 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla? A. 1 B. 1 1 C. 2 2 D. A recipe calls for 2 cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar? A. 1 6 B. 2 2 C. 4 2 D. 6 12 P a g e M a r c h 2 0, 2 0 1 5
A recipe calls for 2 cup of sugar for every 2 teaspoons of vanilla. What is the unit rate in cups per teaspoon? A recipe calls for 2 cup of sugar for every 4 teaspoons of vanilla. What is the unit rate in teaspoons per cup? 1 P a g e M a r c h 2 0, 2 0 1 5
Content Standard MAFS.7.RP Ratio and Proportional Relationships Assessment Limits Calculator Context MAFS.7.RP.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. MAFS.7.RP.1.2 Recognize and represent proportional relationships between quantities. MAFS.7.RP.1.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MAFS.7.RP.1.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. MAFS7.RP.1.2c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. MAFS.7.RP.1.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. Numbers in items must be rational numbers. Ratios should be expressed as fractions, with : or with words. Units may be the same or different across the two quantities. Yes Matching Item Table Item Allowable The ordered pair (1, 5) indicates the unit rate of books to cost on the graph shown. What does the point on the graph represent? 14 P a g e M a r c h 2 0, 2 0 1 5
Kara is mixing paint. Each batch has twice as much blue paint as yellow paint. Plot points to represent the amount of blue and yellow paint used in three differentsized batches. The points on the coordinate plane show the amount of red and yellow paint in each batch. Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch. The graph below represents the rate for the cost of b books. Write an equation to represent the cost, c. 15 P a g e M a r c h 2 0, 2 0 1 5
Ethan ran 11 miles in 2 hours. What is the unit rate of miles to hour? A. 5.5 miles per hour B. 0. 18 miles per hour C. 5.5 hours per mile D. 0. 18 hours per mile 16 P a g e M a r c h 2 0, 2 0 1 5
Content Standard MAFS.7.RP Ratio and Proportional Relationships MAFS.7.RP.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. MAFS.7.RP.1. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Assessment Limits Numbers in items must be rational numbers. Units may be the same or different across the two quantities. Calculator Yes Matching Item Table Item Context Allowable Nicole bought a meal in a town that has no sales tax. She tips 20%. Select all meals Nicole could buy for less than $15 total. $12.6 $12.50 $1.00 $14.79 $14.99 James pays $120.00 for golf clubs that are on sale for 20% off at Golf Pros. At Nine Iron, the same clubs cost $8.00 less than they cost at Golf Pros. They are on sale for 1% off. What is the original cost of the clubs at Nine Iron? 17 P a g e M a r c h 2 0, 2 0 1 5
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