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4th Grade · Math · 4.OA.B.4

Factoring Lesson Plan for 4th Grade

A ready-to-teach factoring lesson for 4th Grade. Everything below is classroom-tested structure: an objective, a 45-minute sequence, a way to check who got it, and 6 printable practice pages.

Approximately 45 minutes

Learning objective

  • Identify all factor pairs for numbers between 4 and 50
  • List every whole number that divides evenly into a given number
  • Build understanding of divisibility for numbers up to 50

Materials

Lesson steps

  1. 1. Warm up together (5 min)

    Open with a quick count-around or number talk that touches factoring. Ask students where they have seen factoring outside of math class. You are listening for who already has the vocabulary and who does not, so keep it light and let several students answer.

  2. 2. Model it (I do) (10 min)

    Work two examples of factoring on the board, thinking out loud the whole way. Say the quiet parts: what you notice first, which step you do next, and why. Deliberately make one small error on the second example and let the class catch it.

  3. 3. Practice together (we do) (10 min)

    Work three more problems as a class. Ask a different student to supply each step rather than the whole answer. If a step stalls, drop back to concrete objects or a drawing before moving on.

  4. 4. Independent practice (you do) (15 min)

    Hand out "Prime Factor Trees - Blue TV". Students work independently while you circulate. Note who is fluent, who is counting on fingers, and who has not started, because that grouping drives tomorrow's small group.

  5. 5. Close the loop (5 min)

    Pull the class back. Ask one student to explain a problem they got right and one to name something that is still confusing. End on the confusion, not the success, so students learn that naming a gap is normal.

Check for understanding

Collect the practice pages and sort them into three piles: fluent, developing, and not yet. Any student in the third pile needs factoring retaught in a small group before the class moves on.

Differentiation

Extra support. Students who stall: pull them into a small group and rebuild factoring with concrete materials or a simpler text before asking for the written work again. Do not send the page home as homework, it will just rehearse the misunderstanding.

Extension. Students who finish early: ask them to write their own factoring problem for a partner to solve, then check the partner's work. Creating a problem is harder than solving one and it surfaces whether they really understand factoring.

Skills covered in this lesson

Find the factors of a number between 4 and 50 · Find the factors of a number between 4 and 100 · Prime factor trees · Prime factors · Divisibility rules · Multiples of whole numbers · Missing factors · Factoring

Practice pages for this lesson

6 items, 6 printable pages that match the independent-practice step.

Questions teachers ask about teaching factoring

What is factoring in fourth grade math?
Fourth-grade factoring involves finding factor pairs for whole numbers 1-100 (CCSS 4.OA.B.4). Students learn that factors are numbers that divide evenly into a given number, and they find all factor pairs for a number. They also determine whether a number is prime (exactly two factors: 1 and itself) or composite (more than two factors).
How do you find all factor pairs of a number?
Use a systematic approach: start with 1 and the number itself (always a factor pair), then test 2, 3, 4, and so on. When you reach a pair where the smaller factor is larger than the square root of the number, you have found all pairs. Factor rainbow or T-chart worksheets help students organize factor pairs without missing any.
What is the difference between a prime and composite number?
A prime number has exactly two factors: 1 and itself (2, 3, 5, 7, 11, 13…). A composite number has more than two factors (4, 6, 8, 9, 10…). The number 1 is neither prime nor composite. CCSS 4.OA.B.4 requires students to identify primes and composites within the range 1-100. Worksheets that ask students to find all factors and then classify the number as prime or composite build both skills.

More math lesson plans for 4th Grade

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