Math lesson plan · 5th grade (Year 6 in England) · 30 minutes
Multi-step problems with larger numbers
Multiplication and division
CCSS 5.NBT.B.5CCSS 5.NBT.B.6England: Y6 Multiplication and division
Objective and success criteria
Students will: Multi-step problems with larger numbers.
- 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: Multi-step word problems with whole numbers; Long multiplication: three-digit by two-digit
Leads to: the next skill in this area.
Materials: Counters for arrays, Multiplication grid, Base-ten blocks, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Multi-step word problems with whole numbers; Long multiplication: three-digit by two-digit). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- A theatre has 24 rows of 25 seats. 270 tickets have been sold. How many seats are still free? → 330Prompt: How many seats are there altogether?
- 745 × 83 = ? → 61835Prompt: Multiply 745 by the ones digit of 83, then by the tens.
- At a swimming pool, adult tickets cost $7 and child tickets $3. Amara's group buys 3 adult and 6 child tickets. How much do they pay in total? → 39Prompt: Work out the adult cost and the child cost separately.
Hook · 3 min
- Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
- Share the objective: Multi-step problems with larger numbers. 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: A school has 8 classes of 32 pupils. All go on a trip by coach. Each coach seats 45. How many coaches are needed?
- Step 1: 8 × 32 = 256
- Step 2: 256 ÷ 45 = 5 r 31
- Step 3: 6
- Answer: 6
- 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.
- A school has 5 classes of 31 pupils. All go on a trip by coach. Each coach seats 50. How many coaches are needed? → 4Prompt: How many pupils altogether?
- Kwame is saving for a bike that costs $606. Kwame already has $174 and saves $36 every month. After how many months will Kwame have enough? → 12Prompt: How much more does the bike cost than the money already saved?
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.
- Mei is saving for a bike that costs $755. Mei already has $263 and saves $41 every month. After how many months will Mei have enough? → 12Prompt: How much more does the bike cost than the money already saved?
- A school has 4 classes of 30 pupils. All go on a trip by coach. Each coach seats 45. How many coaches are needed? → 3Prompt: How many pupils altogether?
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: Multi-step word problems with whole 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
- 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