Math lesson plan · 4th grade (Year 5 in England) · 60 minutes
Divisibility tests for 2, 5 and 10
Multiplication and division
CCSS 4.OA.B.4England: Y5 Multiplication and division
Objective and success criteria
Students will: Divisibility tests for 2, 5 and 10.
- 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: Odd and even numbers; Divide by 2, 5 and 10
Leads to: Divisibility tests for 3, 6 and 9 using digit sums
Materials: Counters for arrays, Multiplication grid, Base-ten blocks, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 6 min
- Quick retrieval from earlier learning (Odd and even numbers; Divide by 2, 5 and 10). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Is 72 odd or even? (Odd / Even) → EvenPrompt: Only the ones digit matters.
- 12 ÷ 2 = ? → 6Prompt: 2 times what makes 12?
- 7 children line up in pairs. Will everyone have a partner? (Yes: the number is even / No: the number is odd) → No: the number is oddPrompt: Try sharing the children into two equal lines.
Hook · 6 min
- Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
- Share the objective: Divisibility tests for 2, 5 and 10. Read the success criteria together.
I do: model it · 12 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: Is 6604 divisible by 2?
- Step 1: The last digit is 4.
- Step 2: yes
- Answer: yes
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 12 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- Is 7040 divisible by 5? (yes / no) → yesPrompt: You only need to look at the last digit.
- Which number is divisible by 5 but not by 2? (4123 / 4120 / 4125 / 4124) → 4125Prompt: Check the last digit of each number.
You do: independent practice · 17 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 8 questions are on the student sheet below, with answers in the key.
Exit ticket · 7 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- Which number is divisible by 5 but not by 2? (5245 / 5244 / 5240 / 5243) → 5245Prompt: Check the last digit of each number.
- Is 7705 divisible by 5? (yes / no) → yesPrompt: You only need to look at the last digit.
Watch out for
- Thinking multiplying always makes a number bigger.
- Dropping a zero in long multiplication when moving to the tens row.
Support and stretch
Support
- Review first: Odd and even numbers.
- Use concrete materials: counters for arrays.
- 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: Divisibility tests for 3, 6 and 9 using digit sums.
- 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-4.
Free lesson plan from eurekami.com/lesson-plan-builder