Math lesson plan · 5th grade (Year 6 in England) · 30 minutes
Primes, squares and cubes
Number sense
CCSS 6.EE.A.1England: Y5 Multiplication and divisionEngland: Y6 Number
Objective and success criteria
Students will: Primes, squares and cubes.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Factors, multiples, primes
Leads to: Prime factorisation; Whole-number exponents; Square roots and cube roots
Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Factors, multiples, primes). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Which number is a factor of 64? (7 / 5 / 16 / 3) → 16Prompt: A factor divides the number exactly, with no remainder.
- Is 28 prime or composite? (Prime / Composite) → CompositePrompt: A prime number has exactly two factors: 1 and itself.
- What is the 12th multiple of 6? (The 1st multiple is 6.) → 72Prompt: Multiples of 6: 6, 12, 18, …
Hook · 3 min
- Show a number in the news or a price tag and ask what each digit is worth.
- Share the objective: Primes, squares and cubes. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: 8² = ?
- Step 1: 8 × 8 = 64
- Answer: 64
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- 2³ = ? → 8Prompt: Cubed means three copies of the number multiplied together.
- Which of these is a prime number: 49, 51, 71, 87? (71 / 51 / 49 / 87) → 71Prompt: A prime has exactly two factors, 1 and itself.
You do: independent practice · 7 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- 5² = ? → 25Prompt: Squared means multiply the number by itself.
- Which of these is a prime number: 15, 39, 41, 63? (15 / 41 / 39 / 63) → 41Prompt: A prime has exactly two factors, 1 and itself.
Watch out for
- Reading 1,045 as one thousand four hundred five: point to each place and say its value.
- Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).
Support and stretch
Support
- Review first: Factors, multiples, primes.
- Use concrete materials: place value chart.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Move on to: Prime factorisation; Whole-number exponents; Square roots and cube roots.
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-5.
Free lesson plan from eurekami.com/lesson-plan-builder