4th Grade Math Lesson Plans: Fractions, Multiplication, and More

Fourth grade is where the math gets real. Students move from whole-number foundations into fractions as numbers, multi-digit operations with the standard algorithm, and angles. This guide delivers complete, classroom-ready lesson plans for every major 4th grade math domain.

4th Grade Math Standards (CCSS Overview)

Operations and Algebraic Thinking (4.OA)

• Interpret multiplication equations as comparisons
• Multi-step word problems using four operations
• Factors and multiples; prime and composite numbers
• Generate and analyze number patterns

Number and Operations in Base Ten (4.NBT)

• Place value through the millions
• Multi-digit multiplication (standard algorithm)
• Multi-digit division with remainders

Number and Operations — Fractions (4.NF)

• Equivalent fractions
• Comparing fractions with different denominators
• Adding/subtracting fractions with like denominators
• Multiplying fractions by whole numbers
• Decimal notation for fractions (tenths/hundredths)

Measurement and Data (4.MD)

• Converting units within a system
• Area, perimeter
• Angles and angle measurement

Geometry (4.G)

• Lines, rays, angles
• Symmetry
• Classifying shapes by properties

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Complete 4th Grade Lesson Plans

Lesson 1: Multi-Digit Multiplication (Standard Algorithm)

Standard: 4.NBT.B.5

Duration: 45 minutes

Objective: Students will multiply a 2-digit number by a 2-digit number using the standard algorithm.

Launch — Estimation First (5 min):

"Before we multiply 34 × 27, let's estimate. Round each number: 30 × 30 = ___."

Why estimate first? Students who estimate first are more likely to catch errors. Get a commitment: "Our answer should be close to 900."

Building the Algorithm (15 min):

Connect to prior knowledge: students already know 1-digit × 2-digit.

Write: 34 × 7

"We know this: 7 × 4 = 28, write the 8, carry the 2. Then 7 × 3 = 21, plus the 2 we carried = 23."

Now extend: 34 × 27

"We're multiplying by 27, which is 20 + 7. First we multiply by the 7 — that's what we just did. Then we multiply by the 20."

Walk through:

```

34

× 27

----

238 ← 34 × 7

680 ← 34 × 20 (shift left one place)

----

918

```

"Does 918 match our estimate of ~900? Yes! Good sign."

Narrate every step. Circle the placeholder zero. Discuss why we shift.

Guided Practice (10 min):

Work 3 problems together on the board: 43 × 52, 67 × 31, 85 × 46

Students solve on whiteboards simultaneously; hold up after each.

Independent Practice (12 min):

6-problem worksheet. 4 computation, 2 word problems.

Word problem example: "A school orders 24 boxes of pencils. Each box has 48 pencils. How many pencils total?"

Closure (3 min):

Exit ticket: one 2×2-digit problem. Self-check against estimate before turning in.

Differentiation:

• Support: Provide a multiplication chart; use graph paper to align columns
• Extension: Extend to 3-digit × 2-digit

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Lesson 2: Equivalent Fractions

Standard: 4.NF.A.1

Duration: 40 minutes

Objective: Students will explain why a fraction a/b equals na/nb and generate equivalent fractions.

Conceptual Hook (8 min):

Hold up two fraction strips: one showing 1/2, one showing 2/4.

"Are these the same amount? Lay them on top of each other." (They match exactly.)

"1/2 and 2/4 are equivalent fractions — different names, same value. Today we'll find out why."

Building Understanding (10 min):

Fraction strips activity: students have strips for halves, fourths, eighths, thirds, sixths.

"Fold your half strip to show 1/2. Now find fraction strips that cover the same length." Students discover 2/4, 4/8, 3/6.

"What pattern do you notice?" Guide: numerator and denominator are both multiplied by the same number.

Rule Formalization (5 min):

Write: 1/2 = 2/4 = 4/8

"Each time, I multiplied both the numerator and the denominator by 2. Multiplying top and bottom by the same number is like multiplying by 1 — it doesn't change the value."

Number line connection: plot 1/2, 2/4, 3/6 on the same number line — they land on the same point.

Guided Practice (10 min):

"Find 3 fractions equivalent to 2/3."

"Is 3/4 equivalent to 9/12? How do you know?"

"Fill in the missing number: 5/6 = ___/18"

Independent Practice (5 min):

8-problem mixed set on whiteboards. Mix of generating equivalent fractions and identifying equivalence.

Exit Ticket (2 min):

"Write two fractions equivalent to 3/5. Show how you know they're equivalent."

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Lesson 3: Adding Fractions with Like Denominators

Standard: 4.NF.B.3a

Duration: 40 minutes

Objective: Students will add fractions with like denominators and express answers as mixed numbers when appropriate.

Conceptual Foundation (8 min):

"Fractions with the same denominator are like pieces of the same-sized puzzle."

Draw on board: a pizza cut into 8 slices. Color 3 slices. "I ate 3/8." Color 4 more. "My friend ate 4/8. Together we ate ___/8."

"3 + 4 = 7. We ate 7/8 of the pizza. The denominator stayed 8 — the slice size didn't change."

Number Line Model (7 min):

Draw a number line from 0 to 2, marked in eighths.

"Show 3/8. Now jump 4/8 more. Where do you land?" Mark it: 7/8.

Try: 5/6 + 4/6. "We land at 9/6. That's more than 1! Let's write it as a mixed number: 1 and 3/6, which simplifies to 1 and 1/2."

Emphasize: "When the numerator is bigger than the denominator, convert to a mixed number."

Guided Practice (10 min):

• 2/5 + 2/5 = ___
• 3/8 + 5/8 = ___ (improper → mixed)
• 1/4 + 2/4 + 3/4 = ___ (three addends)
• Word problem: "Maria ran 3/10 mile before school and 5/10 mile after school. How far did she run total?"

Common Error Correction (5 min):

Show a deliberate mistake: 2/3 + 1/3 = 3/6

"What went wrong?" Students identify: the student added both numerators AND denominators. "Never add the denominators. The denominator tells you the size of the pieces — that doesn't change."

Independent Practice (8 min):

10-problem set plus 2 word problems.

Differentiation:

• Support: Fraction strips for every problem; sentence frames ("The denominator ___. I added the numerators: ___ + ___ = ___")
• Extension: Mixed number + fraction problems; fraction addition puzzle

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Lesson 4: Measuring Angles

Standard: 4.MD.C.5–7

Duration: 45 minutes

Objective: Students will measure and draw angles using a protractor; identify acute, right, and obtuse angles.

Vocabulary Foundation (5 min):

Post three images: a right angle (corner of a book), an acute angle (slice of pie), an obtuse angle (open laptop lid).

"Who knows what these are called?" Collect what students already know.

Formal definitions:

• Right angle: exactly 90°
• Acute angle: less than 90°
• Obtuse angle: between 90° and 180°

Protractor Instruction (10 min):

Model with a physical protractor. "A protractor measures the opening of an angle in degrees."

Steps:

1. Place the center hole on the vertex of the angle
2. Line up one ray with 0° on the protractor
3. Read the number where the other ray crosses the scale

Common confusion: "The protractor has two scales — inside and outside numbers. If your angle looks acute, use the number less than 90. If it looks obtuse, use the number greater than 90."

Practice Measuring (15 min):

Worksheet with 8 drawn angles of various sizes. Students measure each and classify.

Circulate for "upside-down" protractor use (most common error).

Drawing Angles (10 min):

"Now go the other direction — draw an angle that measures exactly 65°."

Steps:

1. Draw a ray
2. Place protractor center on endpoint
3. Mark the 65° spot
4. Draw the second ray
5. Label the angle

Students draw: 45°, 120°, 90°, 30°, 150°

Closure (5 min):

"Look at this image of a clock showing 3:00. What angle do the hands form?" (90°) "What about 12:00?" (0°) "6:00?" (180°) Real-world connection.

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Lesson 5: Factors and Multiples

Standard: 4.OA.B.4

Duration: 40 minutes

Objective: Students will find all factor pairs for whole numbers 1–100 and identify multiples.

Launch — Factor War (5 min):

Quick partner game: one student says a number (1–50), the other player has 30 seconds to list as many factors as possible. More factors = more points.

Defining Factors (8 min):

"A factor is a number that divides another number evenly — no remainder."

"Let's find all factors of 12." Model systematic approach:

• Start with 1: 1 × 12 = 12 ✓ (factors: 1 and 12)
• Try 2: 2 × 6 = 12 ✓ (factors: 2 and 6)
• Try 3: 3 × 4 = 12 ✓ (factors: 3 and 4)
• Try 4: already found
• Try 5: 5 doesn't divide 12 evenly
• Stop when we reach a factor we already found

"The factors of 12 are: 1, 2, 3, 4, 6, 12."

Multiples (5 min):

"Multiples are what you get when you multiply a number by 1, 2, 3, 4..."

Multiples of 6: 6, 12, 18, 24, 30...

"Notice: 12 is both a factor of 24 and a multiple of 6. Factors and multiples are related."

Guided Practice (10 min):

Find all factors of: 24, 36, 48, 60

Identify first 8 multiples of: 4, 7, 9

Prime vs. Composite (5 min):

"A prime number has exactly 2 factors: 1 and itself. 7 is prime (factors: 1 and 7). A composite number has more than 2 factors. 12 is composite."

Is 1 prime? "No — 1 has only ONE factor. It's neither prime nor composite."

Factor Rainbow (5 min):

Students create a "factor rainbow" for 36 — connect factor pairs in an arc above the number line of factors. Visual, memorable, catches missing pairs.

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