SBAC Grade 6 Concepts and Procedures Practice

SBAC 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, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. 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

Common Core State Standards for Mathematics (CCSS-M) — national

How the SBAC reports it

Smarter Balanced math is organized into four claims with published assessment targets (Mathematics Content Specifications). Claim 1 (Concepts and Procedures) publishes per-grade assessment targets for grades 3-8 and high school, each a verbatim CCSS-M cluster heading (e.g. grade 3 Target A is cluster 3.OA.A); Claims 2-4 are cross-cutting process claims whose targets are constant across grades and draw on the same grade-level content. On score reports, Claims 2 and 4 are combined into a single reporting category, so three claim scores accompany the overall math score.

Blueprint & weighting

Content Specifications (Reporting Categories section): the total mathematics score is a weighted composite of the four claims — Claim 1 (Concepts and Procedures) contributes roughly 50%, Claim 3 (Communicating Reasoning) roughly 25%, and combined Claims 2 and 4 (Problem Solving / Modeling and Data Analysis) about 25%. The summative blueprint (as of 2018-19) publishes item counts per test event rather than percentages: Claim 1 is 17-20 items in grades 3-5, 16-20 in grades 6-8, and 19-22 in grade 11; the Claim 2/4 and Claim 3 reporting categories are 8-10 items each, totaling 18-20 across the two.

Official sources

Smarter Balanced Mathematics Content Specifications (July 2015)
Smarter Balanced Mathematics Summative Assessment Blueprint (as of 2018-19)
Smarter Content Explorer (per-target pages, e.g. Grade 3 Claim 1 Target A)

8 free questions · 0/0 correct

Practice playeasy

Find the area of a parallelogram with base $b = 2$ and height $h = 9$ .

Parallelogram area $= b \cdot h = 2 \cdot 9 = 18$ .

Practice playeasy

What is $3.35 + 6.75$ ?

$3.35 + 6.75 = 10.1$ .

Practice playeasy

What is $\dfrac{3}{6} \times \dfrac{6}{7}$ ?

Multiply across: $\dfrac{3 \times 6}{6 \times 7} = \dfrac{18}{42} = \dfrac{3}{7}$ .

Practice playeasy

What is $|-3|$ ?

Absolute value gives the non-negative distance from $0$ , so $|-3| = 3$ .

Practice playeasy

Students answered the statistical question "How many snacks did you pack?" The data are $3, 5, 7, 13$ . What is the mean of the data?

The mean describes the center: add the values and divide by how many there are. $3 + 5 + 7 + 13 = 28$ , and $28 \div 4 = 7$ .

Practice playeasy

A student is writing questions about pets. Which of these is a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How many pets does each family on my street own?" asks about many families, so the numbers can differ. It is a statistical question.

Practice playeasy

Which of the following values lies strictly between $-\dfrac{19}{4}$ and $\dfrac{11}{2}$ on the real number line?

The interval is open: $-\dfrac{19}{4} = -4.75$ and $\dfrac{11}{2} = 5.5$ , so values must satisfy $-4.75 < x < 5.5$ . Check each choice: $-5 < -4.75$ (outside), $-4$ is between the bounds, $\dfrac{11}{2}$ equals the upper endpoint (not strict), and $-\dfrac{19}{4}$ equals the lower endpoint (not strict).

Practice playeasy

A beetle is measured at $80$ millimeters long. What is the length in centimeters? ( $1$ centimeter $= 10$ millimeters)

Use a conversion factor with centimeters in the numerator so millimeters cancel: $80 \text{ mm} \times \dfrac{1 \text{ cm}}{10 \text{ mm}} = 8 \text{ cm}$ .

SBAC 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.