Free Grade 3 Introducing Cubes Lesson Plans
Free Grade 3 lesson plans for Introducing Cubes: 12 real questions with a full answer key and worked solutions. A power tells you how many times to multiply a number by itself. A square root undoes squaring. When multiplying powers of the same base, add the indices.
Free
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing cubes
Identify introducing cubes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing cubes
Explain introducing cubes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing cubes
Calculate introducing cubes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing cubes
Compare introducing cubes 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 Cubes works
A power tells you how many times to multiply a number by itself. A square root undoes squaring. When multiplying powers of the same base, add the indices.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Work out 7² and √49.[1]
- 2.Work out 2² and √4.[1]
- 3.Work out 8² and √64.[1]
- 4.Work out 4² and √16.[1]
- 5.Evaluate 4^3.[2]
- 6.Evaluate 5^4.[2]
- 7.Evaluate 3^4.[2]
- 8.Evaluate 3^3.[2]
- 9.Simplify x^3 × x^7 ÷ x^4.[3]
- 10.Simplify x^5 × x^5 ÷ x^6.[3]
- 11.Simplify x^3 × x^3 ÷ x^4.[3]
- 12.Simplify x^5 × x^7 ÷ x^6.[3]
Show answers and working
1. 49 and 7
7² = 7 × 7 = 49 √49 = 7 because 7 × 7 = 49
2. 4 and 2
2² = 2 × 2 = 4 √4 = 2 because 2 × 2 = 4
3. 64 and 8
8² = 8 × 8 = 64 √64 = 8 because 8 × 8 = 64
4. 16 and 4
4² = 4 × 4 = 16 √16 = 4 because 4 × 4 = 16
5. 64
Multiply 4 by itself 3 times. 4 × 4 × 4 = 64
6. 625
Multiply 5 by itself 4 times. 5 × 5 × 5 × 5 = 625
7. 81
Multiply 3 by itself 4 times. 3 × 3 × 3 × 3 = 81
8. 27
Multiply 3 by itself 3 times. 3 × 3 × 3 = 27
9. x^6
Multiplying: add the powers → x^10. Dividing: subtract the powers → x^10 ÷ x^4 = x^6.
10. x^4
Multiplying: add the powers → x^10. Dividing: subtract the powers → x^10 ÷ x^6 = x^4.
11. x^2
Multiplying: add the powers → x^6. Dividing: subtract the powers → x^6 ÷ x^4 = x^2.
12. x^6
Multiplying: add the powers → x^12. Dividing: subtract the powers → x^12 ÷ x^6 = x^6.
Worked examples
Work out 3² and √9.
- 3² = 3 × 3 = 9
- √9 = 3 because 3 × 3 = 9
- Answer: 9 and 3
Evaluate 2^4.
- Multiply 2 by itself 4 times.
- 2 × 2 × 2 × 2 = 16
- Answer: 16
Simplify x^4 × x^7 ÷ x^3.
- Multiplying: add the powers → x^11.
- Dividing: subtract the powers → x^11 ÷ x^3 = x^8.
- Answer: x^8
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Works out 3² as 6.
Correction: 3² means 3 × 3, not 3 × 2.
Multiplies indices when multiplying powers.
Correction: x³ × x⁴ = x⁷ — add, don't multiply.
Teacher tips
- · Write powers out in full before using index laws.
Parent tips
- · Spot square numbers on tiles or a chessboard.
Real-life applications
- · Area in square units, computer storage (powers of 2).
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Introducing Cubes
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Frequently asked
- Is this Grade 3 Introducing Cubes 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 Squares. 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 Cubes?
- Move on to Working with Cubes, Cubes in Context, Squares, Square Roots, which build directly on this idea.
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