Free Grade 3 Expanding Brackets in Context Lesson Plans
Free Grade 3 lesson plans for Expanding Brackets in Context: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain expanding brackets in context
Explain expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate expanding brackets in context
Calculate expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare expanding brackets in context
Compare expanding brackets in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify expanding brackets in context
Justify expanding brackets in context 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 Expanding Brackets in Context 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 5x + 9 when x = 3.[1]
- 2.Find the value of 4x + 7 when x = 3.[1]
- 3.Find the value of 9x + 7 when x = 4.[1]
- 4.Find the value of 6x + 19 when x = 3.[1]
- 5.Simplify 7x + 6y + 8x − 6y.[2]
- 6.Simplify 3x + 3y + 2x − 9y.[2]
- 7.Simplify 3x + 1y + 7x − 4y.[2]
- 8.Simplify 8x + 4y + 4x − 5y.[2]
- 9.Expand 5(3x + 9).[3]
- 10.Expand 5(2x + 2).[3]
- 11.Expand 5(6x + 5).[3]
- 12.Expand 4(4x + 9).[3]
Show answers and working
1. 24
Replace x with 3: 5 × 3 + 9. 15 + 9 = 24.
2. 19
Replace x with 3: 4 × 3 + 7. 12 + 7 = 19.
3. 43
Replace x with 4: 9 × 4 + 7. 36 + 7 = 43.
4. 37
Replace x with 3: 6 × 3 + 19. 18 + 19 = 37.
5. 15x + 0y
Collect x terms: 7x + 8x = 15x. Collect y terms: 6y − 6y = 0y.
6. 5x − 6y
Collect x terms: 3x + 2x = 5x. Collect y terms: 3y − 9y = -6y.
7. 10x − 3y
Collect x terms: 3x + 7x = 10x. Collect y terms: 1y − 4y = -3y.
8. 12x − 1y
Collect x terms: 8x + 4x = 12x. Collect y terms: 4y − 5y = -1y.
9. 15x + 45
Multiply each term inside by 5. 5 × 3x = 15x, 5 × 9 = 45.
10. 10x + 10
Multiply each term inside by 5. 5 × 2x = 10x, 5 × 2 = 10.
11. 30x + 25
Multiply each term inside by 5. 5 × 6x = 30x, 5 × 5 = 25.
12. 16x + 36
Multiply each term inside by 4. 4 × 4x = 16x, 4 × 9 = 36.
Worked examples
Find the value of 7x + 5 when x = 4.
- Replace x with 4: 7 × 4 + 5.
- 28 + 5 = 33.
- Answer: 33
Simplify 8x + 4y + 3x − 7y.
- Collect x terms: 8x + 3x = 11x.
- Collect y terms: 4y − 7y = -3y.
- Answer: 11x − 3y
Expand 3(4x + 2).
- Multiply each term inside by 3.
- 3 × 4x = 12x, 3 × 2 = 6.
- Answer: 12x + 6
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Expanding Brackets in Context 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 Working with Expanding Brackets, Introducing Expanding Brackets, 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 Expanding Brackets in Context?
- Move on to Using Letters for Numbers, Collecting Like Terms, Substitution, Factorising, which build directly on this idea.
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