M-STEP Grade 7 Concepts and Procedures Practice

M-STEP Grade 7 Concepts and Procedures. Practice it free.

Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency. Content is drawn from the Grade 7 clusters listed as targets below, per Michigan's Grade 7 Mathematics Claims, Targets, and Standards crosswalk. This Grade 7 reporting domain maps to 27 practice skills and 8 representative questions from the playable bank.

Grade 7Claim 127 mapped skills

Concepts and Procedures skills

Target A: Analyze proportional relationships and use them to solve real-world and mathematical problems

Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Target C: Use properties of operations to generate equivalent expressions

Target D: Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Target E: Draw, construct, and describe geometrical figures and describe the relationships between them

Target F: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Target G: Use random sampling to draw inferences about a population

Target H: Draw informal comparative inferences about two populations

Target I: Investigate chance processes and develop, use, and evaluate probability models

Standards basis

Michigan Academic Standards for Mathematics (CCSS-M) aligned to Smarter Balanced mathematics claims and assessment targets — Michigan

How the M-STEP reports it

M-STEP mathematics is built from the Smarter Balanced framework and draws its items from the Smarter Balanced item pool (Spring 2019 M-STEP Technical Report; federal assessment peer-review documentation). It uses the four Smarter Balanced claims, and Michigan publishes per-grade “Claims, Targets, and Standards” crosswalks in which the Claim 1 (Concepts and Procedures) assessment targets are the Smarter Balanced lettered targets — verbatim CCSS-M cluster headings with the standards in each cluster listed alongside. MDE’s published mathematics blueprint (all grades) notes that Claims 2 and 4 are reported together, matching Smarter Balanced score reporting. Since spring 2019, M-STEP mathematics is administered in grades 3-7 only: grade 8 mathematics moved to PSAT 8/9, and grade 11 mathematics is the SAT within the Michigan Merit Examination.

Blueprint & weighting

M-STEP Mathematics Blueprints, all grades (MDE “Mathematics 2024 Overview,” Michigan School Testing Conference, February 2024): Claim 1 (Concepts and Procedures) 19-21 items, Claim 2 (Problem Solving) 3-5 items, Claim 3 (Communicating Reasoning) 7-9 items, Claim 4 (Modeling and Data Analysis) 3-5 items; Claims 2 and 4 are reported together. At range midpoints (20 + 4 + 8 + 4 = 36 items) Claim 1 is ~56% of the test, Claim 3 ~22%, and Claims 2 and 4 ~11% each — mirroring the Smarter Balanced claim distribution.

Official sources

Michigan Department of Education M-STEP Summative
MDE Math Crosswalks: Claims, Targets, and Standards (per-grade PDFs)
MDE Mathematics 2024 Overview — Michigan School Testing Conference, February 2024 (M-STEP math blueprints, claim item counts, grade 6 crosswalk sample)

8 free questions · 0/0 correct

Practice playeasy

What is $1 + (-7)$ ?

Result: $-6$ .

Practice playeasy

A random sample of 12 contained 3 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{3}{12} = \dfrac{1}{4}$ .

Practice playeasy

Parallelograms $EFGH$ and $JKLM$ are similar. The area of parallelogram $EFGH$ is $9\textsf{,}$ and the area of parallelogram $JKLM$ is $36\textsf{.}$ Side $EF$ corresponds to side $JK\textsf{,}$ and $EF = 7\textsf{.}$ What is the length of $JK\textsf{?}$

The area ratio is $\dfrac{36}{9} = 4 = k^{2}\textsf{,}$ so $k = 2\textsf{.}$ Then $JK = 7 \cdot 2 = 14\textsf{.}$

Practice playeasy

A triangle has side lengths $14$ and $5\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|14 - 5| < x < 14 + 5\textsf{.}$ Simplifying gives $9 < x < 19\textsf{.}$

Practice playmedium

A botanical garden is divided into four planted areas. Exactly $\dfrac{1}{4}$ of the garden is vegetables, exactly $\dfrac{1}{5}$ is flowers, $48$ square meters are herbs, and $40$ square meters are fruit trees. How many square meters are in the entire garden?

Let $x$ be the total area. Vegetables and flowers cover $\dfrac{1}{4}x + \dfrac{1}{5}x = \dfrac{9}{20}x$ . The herbs and fruit trees cover $48 + 40 = 88$ square meters, so $\dfrac{11}{20}x = 88$ and $x = 160$ .

Practice playeasy

Airline rules allow a carry-on bag to weigh at most $50.0$ pounds. A bag weighs $52.8$ pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?

The bag must weigh at most $50.0$ pounds. The minimum decrease is $52.8 - 50.0 = 2.8\textsf{.}$

Practice playeasy

Solve for $m$ : $m - 4 = 2$ .

Subtract 4 from both sides: $m = 6$ .

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

M-STEP Grade 7 Concepts and Procedures. Practice it free.

Concepts and Procedures skills

Target A: Analyze proportional relationships and use them to solve real-world and mathematical problems

Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Target C: Use properties of operations to generate equivalent expressions

Target D: Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Target E: Draw, construct, and describe geometrical figures and describe the relationships between them

Target F: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Target G: Use random sampling to draw inferences about a population

Target H: Draw informal comparative inferences about two populations

Target I: Investigate chance processes and develop, use, and evaluate probability models

Topics mapped to this domain

Integer operations

Sampling and inference

Effect of scale factor on similar figures

Triangle inequality

Fraction word problems — find total (ACT)

Interpreting at least and at most

Solving one- and two-step linear equations

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

8 free questions · 0/0 correct

Turn concepts and procedures into game time.