Proportional relationships
Students move from ratio and unit-rate reasoning toward proportional equations, graphs, slope ideas, scale drawings, and multi-step percent problems.
Use this readiness guide to strengthen the Grade 6 skills that Grade 7 builds on, preview the major new topics, and create a focused plan before the school year begins.
The Grade 7 overview emphasizes proportional relationships, rational numbers, expressions and equations, geometry, and statistical inference. View the official mathematics standards. State and district expectations may differ.
The transition is easier when the underlying Grade 6 concepts are secure and flexible.
Students move from ratio and unit-rate reasoning toward proportional equations, graphs, slope ideas, scale drawings, and multi-step percent problems.
Operations extend to positive and negative fractions and decimals, with greater attention to signs, properties, and real-world interpretation.
Students generate equivalent expressions and solve multi-step real-life problems using equations and inequalities.
Students work with scale drawings, circles, angles, surface area, samples, population comparisons, and chance models.
Not every small gap has equal importance. Prioritize the foundations that appear across multiple Grade 7 domains.
Mark each skill as Ready, Review, or Not Yet. The selections stay in the browser and are not submitted.
Use 25–35 minute sessions, four or five days per week. Adjust the pace to the student's actual needs.
These questions sample major Grade 6 prerequisites. They are not a placement test. Show work and use no coaching.
Complete all 20 questions before opening the answers.
Go to the Answer KeyUse the explanation to identify the exact skill that needs review.
Divide both quantities by 6.
240 ÷ 4 = 60.
0.35 × 80 = 28.
3/4 × 8/1 = 6.
2.75 × 1.6 = 4.400.
−3 is to the right of −7 on a number line.
Absolute value is distance from zero.
The greatest common factor of 24 and 36 is 12.
3(4) + 5 = 12 + 5.
Divide both sides by 5.
At most means less than or equal to.
The x-coordinates match; |5 − (−3)| = 8.
Area = 1/2 × 10 × 7.
Volume = 4 × 3 × 6.
2(5×2 + 5×3 + 2×3) = 2(31) = 62.
The sum is 50; 50 ÷ 5 = 10.
The middle value in the ordered set is 8.
29 − 14 = 15.
Each y-value is four times x.
There are 3 favorable outcomes out of 5 total outcomes.
A student should be reasonably secure with ratios and unit rates, percentages, fraction division, decimal operations, positive and negative numbers, expressions and equations, coordinate geometry, area and volume, and basic statistical summaries.
Common Grade 7 topics include proportional relationships, operations with rational numbers, equivalent expressions and equations, scale drawings and geometry, random sampling, comparative statistics, and probability.
Complete mastery is not required, but major prerequisite gaps should be identified early. Focus first on skills that support several Grade 7 topics, especially rational-number operations, ratios, percentages, and equations.
A focused review can be completed in two to six weeks depending on the student's needs. Short, consistent sessions are usually more useful than long sessions that attempt too many topics at once.
Group related errors, choose one or two priority areas, review the prerequisite concept, practice independently, and reassess with fresh questions. Use school or professional support when difficulties remain broad or persistent.
No. It is an informal educational planning tool and does not replace a school placement decision, standardized assessment, or evaluation by a qualified professional.
The Grade 7 Common Core overview identifies four major areas: proportional relationships; rational numbers, expressions, and linear equations; geometry involving scale drawings, area, surface area, and volume; and statistical inference about populations. Read the official mathematics standards. This page is an independent transition guide, not an official placement instrument. State, district, school, and curriculum expectations may differ.