AK-DLM ESSENTIAL ELEMENTS AND COMPLEXITY EXAMPLES FOR SEVENTH GRADE Seventh Grade Mathematics Standards: Ratios and Proportional Relationships AK Grade-Level Clusters AK-DLM Instructional Examples Essential Elements EE7.RP.1-3. Use a ratio to Students will: Analyze proportional model or describe a EE7.RP.1-3. Use a ratio to model or describe a relationship. relationships and use relationship. Ex. Given a bag of green and red chips, identify the ratio of green chips them to solve real-world compared to red chips. and mathematical Students will: Ex. Use a pictorial representation to show part-whole relationship (e.g., problems. EE7.RP.1-3. Complete the What part of the picture is shaded? Three parts are shaded and one part is ratio using numbers to not). 7.RP.1. Compute unit rates show relationships. associated with ratios of Ex. Given one Students will: fractions, including ratios component of a ratio EE7.RP.1-3. Demonstrate a simple ratio relationship. of lengths, areas and other in standard form (1:_) Ex. Using a dry ease board demonstrate a ratio relationship of squares to quantities measured in like complete the ratio. circles. or different units. For Ex. Given a Ex. When playing a board game, move one space for every dot on the die. example, if a person walks family picture, Ex. Complete a pattern given a simple ratio. 1/2 mile in each 1/4 hour, what is the ratio compute the unit rate as of people Students will: the complex fraction 1/2/1/4 wearing hats EE7.RP.1-3. Identify one item as it relates to another. miles per hour, equivalently compared to the Ex. When given two baskets with markers, count the number in each 2 miles per hour. total number of basket and compare. people in the 7.RP.2. Recognize and picture? represent proportional Ex. Describe the relationships between relationship between quantities. miles driven and the ƒ Decide whether two time taken by creating a quantities are in a ratio (e.g., Katie knows proportional she can drive one mile relationship, e.g., by in two minutes is testing for equivalent 1:2). ratios in a table or
AK-DLM ESSENTIAL ELEMENTS AND COMPLEXITY EXAMPLES FOR SEVENTH GRADE Seventh Grade Mathematics Standards: Ratios and Proportional Relationships AK Grade-Level Clusters AK-DLM Essential Elements Instructional Examples Analyze proportional relationships and use them to solve real-world and mathematical problems. 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. 7.RP.2. Recognize and represent proportional relationships between quantities. ƒ Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or EE7.RP.1-3. Use a ratio to model or describe a relationship. Students will: EE7.RP.1-3. Complete the ratio using numbers to show relationships. Ex. Given one component of a ratio in standard form (1:_) complete the ratio. Ex. Given a family picture, what is the ratio of people wearing hats compared to the total number of people in the picture? Ex. Describe the relationship between miles driven and the time taken by creating a ratio (e.g., Katie knows she can drive one mile in two minutes is 1:2). Students will: EE7.RP.1-3. Use a ratio to model or describe a relationship. Ex. Given a bag of green and red chips, identify the ratio of green chips compared to red chips. Ex. Use a pictorial representation to show part-whole relationship (e.g., What part of the picture is shaded? Three parts are shaded and one part is not). Students will: EE7.RP.1-3. Demonstrate a simple ratio relationship. Ex. Using a dry ease board demonstrate a ratio relationship of squares to circles. Ex. When playing a board game, move one space for every dot on the die. Ex. Complete a pattern given a simple ratio. Students will: EE7.RP.1-3. Identify one item as it relates to another. Ex. When given two baskets with markers, count the number in each basket and compare.
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