M-STEP Grade 6 Concepts and Procedures Practice

M-STEP Grade 6 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 6 clusters listed as targets below, per Michigan's Grade 6 Mathematics Claims, Targets, and Standards crosswalk. This Grade 6 reporting domain maps to 22 practice skills and 8 representative questions from the playable bank.

Grade 6Claim 122 mapped skills

Concepts and Procedures skills

Target A: Understand ratio concepts and use ratio reasoning to solve problems

Target B: Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Target C: Compute fluently with multi-digit numbers and find common factors and multiples

Target D: Apply and extend previous understandings of numbers to the system of rational numbers

Target E: Apply and extend previous understandings of arithmetic to algebraic expressions

Target F: Reason about and solve one-variable equations and inequalities

Target G: Represent and analyze quantitative relationships between dependent and independent variables

Target H: Solve real-world and mathematical problems involving area, surface area, and volume

Target I: Develop understanding of statistical variability

Target J: Summarize and describe distributions

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

Find the area of a triangle with base $b = 8$ and height $h = 9$ .

Triangle area $= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36$ .

Practice playeasy

What is $6.07 - 4.71$ ?

$6.07 - 4.71 = 1.36$ .

Practice playeasy

What is $\dfrac{3}{9} \div \dfrac{5}{8}$ ?

Multiply by the reciprocal: $\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}$ .

Practice playeasy

What is $|8|$ ?

The absolute value of a non-negative number is itself: $|8| = 8$ .

Practice playeasy

The statistical question "How many minutes is your ride to school?" produced the data $3, 8, 10, 15$ . What is the range of the data?

The range describes the spread: greatest value minus least value. $15 - 3 = 12$ .

Practice playeasy

Jaden lists four questions:

• What is my dog's weight?
• How much do the dogs at the animal shelter weigh?
• How old is my teacher?
• How tall is my desk?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how much the dogs at the animal shelter weigh asks about a group, so the weights can differ. Asking about one dog, one teacher, or one desk has a single answer. That makes $1$ statistical question.

Practice playhard

How many integers satisfy $-\dfrac{11}{2} < x \leq 4$ ?

$-\dfrac{11}{2} = -5.5$ , so integers greater than $-5.5$ start at $-5$ ; the closed upper bound includes $4$ . Integers: $-5, -4, \ldots, 0, \ldots, 4$ ; $0$ is an integer and must be counted. Total: $4 - (-5) + 1 = 10$ ; the $+1$ counts both $-5$ and $4$ inclusive.

Practice playeasy

At a riding stable, a pony is measured at $15$ hands tall. How many inches tall is the pony? ( $1$ hand $= 4$ inches)

Use a conversion factor with inches in the numerator so hands cancel: $15 \text{ hands} \times \dfrac{4 \text{ in}}{1 \text{ hand}} = 60 \text{ in}$ .

M-STEP Grade 6 Concepts and Procedures. Practice it free.

Concepts and Procedures skills

Target A: Understand ratio concepts and use ratio reasoning to solve problems

Target B: Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Target C: Compute fluently with multi-digit numbers and find common factors and multiples

Target D: Apply and extend previous understandings of numbers to the system of rational numbers

Target E: Apply and extend previous understandings of arithmetic to algebraic expressions

Target F: Reason about and solve one-variable equations and inequalities

Target G: Represent and analyze quantitative relationships between dependent and independent variables

Target H: Solve real-world and mathematical problems involving area, surface area, and volume

Target I: Develop understanding of statistical variability

Target J: Summarize and describe distributions

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Decimal operations

Multiplying and dividing fractions

Absolute value

Describing a Data Distribution

Identifying Statistical Questions

Rational number line locations (ACT)

Custom unit conversions

Fraction-decimal-percent conversion

Percent of a quantity

Two-step unit conversions

Central Measures from Tally Charts (ACT)

8 free questions · 0/0 correct

Turn concepts and procedures into game time.