Grade 2 · Operations & Arithmetic

Subtract Within 100

Learn to find what remains or how two quantities differ through clear explanations, worked examples, an interactive model, and guided practice.

Curriculum placementGrade 2 progression · Operations & Arithmetic20 minute lesson
Structured mathInteractive visual150-question practice bankNo account required

Lesson coverage

Learn the whole topic, not just one problem type.

This lesson and its practice bank deliberately rotate across these core facets so students build a connected understanding of the subject.

Fluency

Subtract accurately using efficient strategies.

Missing values

Find an unknown part, starting amount, or difference.

Representation

Connect subtraction to objects, equations, and number lines.

Word problems

Recognize take-away and comparison situations.

Reasoning

Estimate, compare, and use addition to check.

Learning goalUse subtract within 100 accurately, explain the reasoning, and apply the idea to unfamiliar problems.
Why it mattersSubtract Within 100 strengthens the quantitative reasoning used in later mathematics, science, technology, and financial decision-making.
01Lesson step

Build the idea

Subtract Within 100 is part of the build fluency with place value and operations while introducing money, measurement, graphs, arrays, and equal groups. Start by identifying what each quantity, symbol, diagram, or graph represents before calculating.

02Lesson step

Fluency

Subtract accurately using efficient strategies. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.

03Lesson step

Missing values

Find an unknown part, starting amount, or difference. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.

04Lesson step

Representation

Connect subtraction to objects, equations, and number lines. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.

05Lesson step

Word problems

Recognize take-away and comparison situations. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.

06Lesson step

Reasoning

Estimate, compare, and use addition to check. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.

07Lesson step

Use a reliable strategy

Identify the quantities, choose the operation that matches the situation, calculate carefully, and check whether the result is reasonable.

08Lesson step

Check and explain

A correct answer is only part of mathematical understanding. Check units, signs, scale, and whether the result makes sense. Then explain the relationship in words so you can recognize the same structure when the numbers or context change.

Key terms

Words to know

Subtract Within 100
The central skill or relationship explored in this lesson.
Difference
The result of subtraction.
Subtract
To take away or compare quantities.
Equation
A statement that two expressions are equal.

Interactive math lab · stars

Change it. See it. Understand it.

Change the starting amount and the amount removed.

Live model
3 removed
5
remain
What the visual is showing
Start8
Take away3
Remaining5

Worked examples

See the idea in action.

Worked example 1□ − 2 = 7. What is the starting number? → 9

The starting amount is difference + amount removed: 7 + 2 = 9.

Worked example 2A number line starts at 14 and moves 5 steps left. Where does it land? → 9

Moving left represents subtraction: 14 − 5 = 9.

Guided practice

20 questions drawn from a 150-question lesson bank.

Each practice session mixes the major skills in this lesson so you practice the whole topic, not just one repeated problem type.

Score0/200 checked
Question bank150per lesson
This lesson covers
FluencyMissing valuesRepresentationWord problemsReasoning
Question 1 of 200% complete
Question 01Fluency
Choose one answer

What is 12 − 7?

This question is checking: Fluency.
Want a different mix?

Curriculum reference

Built as a continuous K–12 progression.

The sequence follows widely used K–12 mathematics progressions and references the Common Core mathematics framework. Explanations, examples, interactive models, and practice questions are original FreeLearnHub material.

View mathematics standards ↗