Spicy veggies (grade 7)
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In the CCSSM, a key advance from grade 6 to grade 7 is students’ ability to solve real-world and mathematical problems by reasoning proportionally with ratios of fractions.

Recipes are often used to introduce students to proportional thinking. This two-part task presents a recipe context in an atypical way that requires students to demonstrate a deep understanding of proportionality to be successful. Instead of simply listing amounts for each ingredient, the recipe describes how the ingredients are related to the whole. Students must reason proportionally with fractions to solve each part of the task.

In Part a, students can solve the problem using a variety of approaches. Proportional reasoning, rather than simple reliance on rules, leads to a solution. Part b requires students to reason about how the quantities relate to a specified whole. The technology-enabled fill-in-the-blank format allows students to input and adjust their intermediate thinking before submitting their answers and accommodates partial credit in a machine-scored format.

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