Students identify relevant and missing information, choose addition or subtraction, represent situations with objects, drawings, number lines, models, tables, and equations, and solve whole-number problems within 1,000, including simple two-step problems within 100. They compare and explain strategies, organize work systematically, justify comparisons through 1,000 using place value, create stories for addition and subtraction equations within 100, and explain solutions in words for addition, subtraction, measurement, equal-group, and sharing situations. They check calculations using inverse operations and estimation, find and correct addition and subtraction errors involving regrouping, make reasonable conjectures from patterns and examples, and use logical elimination to identify possible solutions.
On this page:
- Master skills like “Justify a comparison”, “Use logical elimination”, and “Explain a solution in words” 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 “Identify missing information”, “Make a reasonable conjecture”, “Identify relevant information”.
- Start working on adaptive units like “Addition and Subtraction of Integers - 1 Digit” or “Multiplication From Counting - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Mathematical Reasoning: Individual Skills
Master 15 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 subtraction with addition
- Choose a useful representation
- Choose addition or subtraction
- Explain a solution in words
- Find and correct a subtraction error
- Identify missing information
- Identify relevant information
- Justify a comparison
- Make a reasonable conjecture
- Represent a problem with an equation
- Represent a problem with objects
- Solve simple two-step problems
- Use estimation to check an answer
- 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 2 '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 subtraction with addition
- Choose a useful representation
- Choose addition or subtraction
- Explain a solution in words
- Find and correct a subtraction error
- Identify missing information
- Identify relevant 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.