The Mathematics Common Core Toolbox – PRACTICE TEST ITEMS GRADE 7
GRADE 7 – Annie’s Family Trip
This three-part, machine-scorable task requires that students make sense of and solve a contextual problem involving rational numbers.
In the task, students apply securely held content from previous grades (decimal operations) to solve a problem involving rate and elapsed time. This allows for more targeted assessment of problem solving.
GRADE 7 – School Supplies
This two-part task emphasizes students’ ability to make sense of problems and persevere in solving them, thus making it a “practice forward” task. Students also apply their understanding of rational numbers to solve a contextual problem.
GRADE 7 – Spicy Veggies
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.
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.
GRADE 7 – TV Sales
This two-part task integrates content from across the grade level and calls for students to apply proportional reasoning and properties of operations as they critique others’ reasoning.
Students in grade 7 use their understanding of ratios and proportionality to solve a wide variety of percent problems and use properties of operations to generate equivalent expressions. In this task, students must also evaluate two different forms of reasoning and justify their analysis.