Free Grade 3 Introducing Expanding Brackets Lesson Plans
Free Grade 3 lesson plans for Introducing Expanding Brackets: 12 real questions with a full answer key and worked solutions. An expression uses letters for numbers. Substitute a value to evaluate it, collect like terms to simplify it, and multiply every term in a bracket to expand it.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing expanding brackets
Identify introducing expanding brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing expanding brackets
Explain introducing expanding brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing expanding brackets
Calculate introducing expanding brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing expanding brackets
Compare introducing expanding brackets accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Expanding Brackets works
An expression uses letters for numbers. Substitute a value to evaluate it, collect like terms to simplify it, and multiply every term in a bracket to expand it.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the value of 8x + 2 when x = 4.[1]
- 2.Find the value of 7x + 9 when x = 8.[1]
- 3.Find the value of 5x + 12 when x = 4.[1]
- 4.Find the value of 9x + 1 when x = 8.[1]
- 5.Simplify 8x + 3y + 6x − 4y.[2]
- 6.Simplify 4x + 6y + 9x − 3y.[2]
- 7.Simplify 5x + 1y + 6x − 6y.[2]
- 8.Simplify 3x + 1y + 6x − 1y.[2]
- 9.Expand 5(6x + 4).[3]
- 10.Expand 4(4x + 6).[3]
- 11.Expand 4(5x + 3).[3]
- 12.Expand 3(4x + 5).[3]
Show answers and working
1. 34
Replace x with 4: 8 × 4 + 2. 32 + 2 = 34.
2. 65
Replace x with 8: 7 × 8 + 9. 56 + 9 = 65.
3. 32
Replace x with 4: 5 × 4 + 12. 20 + 12 = 32.
4. 73
Replace x with 8: 9 × 8 + 1. 72 + 1 = 73.
5. 14x − 1y
Collect x terms: 8x + 6x = 14x. Collect y terms: 3y − 4y = -1y.
6. 13x + 3y
Collect x terms: 4x + 9x = 13x. Collect y terms: 6y − 3y = 3y.
7. 11x − 5y
Collect x terms: 5x + 6x = 11x. Collect y terms: 1y − 6y = -5y.
8. 9x + 0y
Collect x terms: 3x + 6x = 9x. Collect y terms: 1y − 1y = 0y.
9. 30x + 20
Multiply each term inside by 5. 5 × 6x = 30x, 5 × 4 = 20.
10. 16x + 24
Multiply each term inside by 4. 4 × 4x = 16x, 4 × 6 = 24.
11. 20x + 12
Multiply each term inside by 4. 4 × 5x = 20x, 4 × 3 = 12.
12. 12x + 15
Multiply each term inside by 3. 3 × 4x = 12x, 3 × 5 = 15.
Worked examples
Find the value of 5x + 11 when x = 8.
- Replace x with 8: 5 × 8 + 11.
- 40 + 11 = 51.
- Answer: 51
Simplify 6x + 7y + 2x − 4y.
- Collect x terms: 6x + 2x = 8x.
- Collect y terms: 7y − 4y = 3y.
- Answer: 8x + 3y
Expand 5(6x + 2).
- Multiply each term inside by 5.
- 5 × 6x = 30x, 5 × 2 = 10.
- Answer: 30x + 10
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Reads 3x as 3 + x, or as 3 with x stuck on.
Correction: 3x means 3 × x.
Only multiplies the first term when expanding.
Correction: Draw arrows from the outside to every inside term.
Teacher tips
- · Use algebra tiles to show collecting like terms.
Parent tips
- · Ask what 'number of pizzas × price' is for different orders.
Real-life applications
- · Formulas for cost: total = 5n + 2 for n items plus delivery.
Assessment objectives
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Frequently asked
- Is this Grade 3 Introducing Expanding Brackets lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Substitution. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Expanding Brackets?
- Move on to Working with Expanding Brackets, Expanding Brackets in Context, Using Letters for Numbers, Collecting Like Terms, which build directly on this idea.
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