DC CAPE Grades 3-5 Operations and Algebraic Thinking. Practice it free.

In the elementary grades, this domain covers students' understanding of operations and algebraic relationships. This Grades 3-5 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grades 3-5Operations & Algebraic Thinking3 mapped skills
What the test measures

Operations and Algebraic Thinking skills

  1. represent and solve problems involving addition and subtraction

  2. understand and apply properties of operations and the relationship between addition and subtraction

  3. multiply and divide within 100

  4. solve problems involving the four operations and identify and explain patterns in arithmetic

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 30÷1030 \div 10?

10×3=3010 \times 3 = 30, so 30÷10=330 \div 10 = 3.

Practice playeasy

What is 2×42 \times 4?

2×4=82 \times 4 = 8.

Practice playeasy

Which property is (2×3)×4=2×(3×4)(2 \times 3) \times 4 = 2 \times (3 \times 4)?

(2×3)×4=2×(3×4)(2 \times 3) \times 4 = 2 \times (3 \times 4) shows the grouping of the multiplication does not change the answer, so the expressions are equal in value. This is the associative property.

Practice playeasy

What is 2÷12 \div 1?

1×2=21 \times 2 = 2, so 2÷1=22 \div 1 = 2.

Practice playeasy

What is 2×82 \times 8?

2×8=162 \times 8 = 16.

Practice playeasy

Which property says 4+7=7+44 + 7 = 7 + 4?

4+7=7+44 + 7 = 7 + 4 shows the order of the addition does not change the answer, so the expressions are equal in value. This is the commutative property.

Practice playeasy

What is 20÷1020 \div 10?

10×2=2010 \times 2 = 20, so 20÷10=220 \div 10 = 2.

Practice playeasy

What is 2×32 \times 3?

2×3=62 \times 3 = 6.

Keep practicing

Turn operations and algebraic thinking into game time.

The DC CAPE placement starts with this test's real coverage map and finds the right difficulty.