ILEARN Grade 3 Operations and Algebraic Thinking Practice

What the test measures

Operations and Algebraic Thinking skills

Interpret products of whole numbers, e.g. 5 × 7 as the total number of objects in 5 groups of 7 objects
Interpret whole-number quotients of whole numbers, e.g. 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned into 8 equal shares
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities
Determine the unknown whole number in a multiplication or division equation relating three whole numbers
Apply properties of operations as strategies to multiply and divide
Understand division as an unknown-factor problem
Fluently multiply and divide within 100
Solve two-step word problems using the four operations
Identify arithmetic patterns and explain them using properties of operations

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $2 \div 2$ ?

$2 \times 1 = 2$ , so $2 \div 2 = 1$ .

Practice playeasy

What is $0 \times 0$ ?

$0 \times 0 = 0$ .

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.

Practice playeasy

What is $6 \div 6$ ?

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

Practice playeasy

What is $2 \times 4$ ?

$2 \times 4 = 8$ .

Practice playeasy

Which property is $\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ ?

$\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.