Students represent one- and two-step whole-number situations with labeled drawings, equations, and unknowns, identify relevant or missing information, choose addition, subtraction, multiplication, or division, and solve problems involving addition and subtraction through 1,000 and multiplication and division within 100. They use inverse relationships to check calculations, estimate to assess reasonableness, find and correct errors, and compare strategies by explaining the role of place value and operation properties. Students explain solutions in words, create coherent word problems for equations, apply logical elimination to arithmetic and simple data or shape problems, and interpret remainders and intermediate results.
On this page:
- Master skills like “Use logical elimination”, “Explain a solution using words”, and “Check addition with subtraction” with unlimited, free practice problems
- Download (or modify) free worksheets on Mathematical Reasoning you can use at home or in class with practice problems across all skills in this group including “Check subtraction with addition”, “Choose an appropriate operation”, “Identify irrelevant information”.
- Start working on adaptive units like “Multiplication - 2 Digit” or “Addition and Subtraction of Integers - 1 and 2 Digit” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Mathematical Reasoning: Individual Skills
Master 13 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Check addition with subtraction
- Check division with multiplication
- Check multiplication with division
- Check subtraction with addition
- Choose an appropriate operation
- Explain a solution using words
- Find and correct calculation errors
- Identify irrelevant information
- Represent a problem with an equation
- Solve multi-step mixed-operation problems
- Solve problems with missing information
- Use estimation to check reasonableness
- Use logical elimination
Practice 'Check addition with subtraction'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 3 'Mathematical Reasoning' Worksheet
Print this free 'Mathematical Reasoning' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Check addition with subtraction
- Check division with multiplication
- Check multiplication with division
- Check subtraction with addition
- Choose an appropriate operation
- Explain a solution using words
- Find and correct calculation errors
- Identify irrelevant information
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Mathematical Reasoning) through scaffolded problems that grow in difficulty as concepts are understood.