TCAP Grade 3 Operations and Algebraic Thinking Practice

What the test measures

Operations and Algebraic Thinking skills

3.OA.A.1 Interpret products of whole numbers
3.OA.A.2 Interpret whole-number quotients
3.OA.A.3 Use multiplication and division within 100 to solve word problems
3.OA.A.4 Determine the unknown whole number in multiplication or division equations
3.OA.B.5 Apply properties of operations as strategies to multiply and divide
3.OA.B.6 Understand division as an unknown-factor problem
3.OA.C.7 Fluently multiply and divide within 100
3.OA.D.8 Solve two-step word problems using the four operations
3.OA.D.9 Identify arithmetic patterns and explain them

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $6 \div 6$ ?

$6 \times 1 = 6$ , so $6 \div 6 = 1$ .

Practice playeasy

What is $2 \times 10$ ?

$2 \times 10 = 20$ .

Practice playeasy

Which property is $3 + (6 + 2) = (3 + 6) + 2$ ?

$3 + (6 + 2) = (3 + 6) + 2$ shows the grouping of the addition does not change the answer, so the expressions are equal in value. This is the associative property.

Practice playeasy

What is $132 \div 12$ ?

$12 \times 11 = 132$ , so $132 \div 12 = 11$ .

Practice playeasy

What is $4 \times 2$ ?

$4 \times 2 = 8$ .

Practice playeasy

Which property says $6 \times 4 = 4 \times 6$ ?

$6 \times 4 = 4 \times 6$ shows the order of the multiplication does not change the answer, so the expressions are equal in value. This is the commutative property.