Level D- Grade 7- Ratios and Proportional Relationships 1 2 3 4 5 6 Standards Skills Concepts Through a Cognitive Sample Activity Included in Included in Particular Demand/ Standard Standard Context Levels of Thinking Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. D-7.RP.1 Compute Unit rates Associated Apply If Jaxon runs ½ mile in each 1/12 hour, how fast is he running? Compute unit rates associated with ratios of (unit rate). If Eve runs ¾ mile in each ½ hour who is the faster with ratios of fractions, including fractions, runner? By how much? ratios of lengths, areas and other including ratios quantities measured in like or of lengths, different units. For example, if a areas and person walks 1/2 mile in each 1/4 other hour, compute the unit rate as the quantities complex fraction 1/2/1/4 miles per measured in hour, equivalently 2 units. miles per hour. D-7.RP.2 Recognize Proportional between Understand If two quantities are in a proportional relationship, the rate of Recognize and represent Relationships Quantities change remains constant (y=mx)-create T-tables for x and y proportional relationships Represent Apply world scenarios that show a pattern-create number patterns and between quantities. Proportional between graph them. Relationships Quantities Reagan works for a company resizing photographs for posters and banners. The T-table shows the sizes that can be made from a 4 X 6 print. Plot the sizes on the graph using the width as the and the length as the y-coordinate. Photographs should remain proportional so that the people or scenes being photographed do not become distorted. Reagan’s T-table got half-eaten by her cat, Trixie. A customer needs to know how long a banner would be that has a width of 26 inches. Can Reagan tell from the graph? Can you?
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. D-7.RP.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 1/2 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. Compute Unit rates Associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in units. Apply If Jaxon runs ½ mile in each 1/12 hour, how fast is he running? (unit rate). If Eve runs ¾ mile in each ½ hour who is the faster runner? By how much? D-7.RP.2 Recognize and represent proportional relationships between quantities. Recognize Represent Proportional Relationships Proportional Relationships between Quantities between Quantities Understand Apply If two quantities are in a proportional relationship, the rate of change remains constant (y=mx)-create T-tables for x and y scenarios that show a pattern-create number patterns and graph them. Reagan works for a company resizing photographs for posters and banners. The T-table shows the sizes that can be made from a 4 X 6 print. Plot the sizes on the graph using the width as the and the length as the y-coordinate. Photographs should remain proportional so that the people or scenes being photographed do not become distorted. Reagan’s T-table got half-eaten by her cat, Trixie. A customer needs to know how long a banner would be that has a width of 26 inches. Can Reagan tell from the graph? Can you? Level D- Grade 7- Ratios and Proportional Relationships world
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