Short Blocks

# Maths Year 5/6 Spring Multiplication

Each unit has everything you need to teach a set of related skills and concepts.

## Multiples, factors and mental strategies(suggested as 2 days)

### Planning and Activities

Day 1 Teaching
Use the ITP Number grid to highlight multiples, look for the lowest common multiple of 2 and 3, 3 and 4, 3 and 6, 6 and 9. Then find the highest common factor of 32, 16 and 24, then 12, 20 and 32.
Group Activities: T with Y6
Y5 -- Derive lowest common multiples and highest common factors. Investigate finding lowest common multiples.
Y6 -- Play games to practise finding common multiples and factors.

Day 2 Teaching
Use mental strategies to multiply 2-digit numbers by 1-digit numbers. Aim to reach given targets.
Further Teaching with Y6
Write the 0.4 times tables. Use this to multiply 2-digit numbers with 1 decimal place by 1-digit numbers. Check the place value of answers is reasonable.
Group Activities: T with Y6
Use the in-depth problem-solving investigation ‘LCM Squares’ as today’s group activity.
Or, use these activities:
Y5 -- Investigation to practise mentally multiplying 2-digit numbers by 1-digit numbers.
Y6 -- Derive the 0.6, then 2.6 times table. Investigation to practise mentally multiplying numbers with 1 decimal place by 1-digit numbers.

### You Will Need

• ITP: Number grid
• Number cards 2–12
• Common multiples (see resources)
• Common factors activity sheet (see resources)

### Short Mental Workouts

Day 1
Double 2-digit numbers

Day 2
Times table bingo

### Worksheets

Day 1
Y5: Find common multiples and factors of given numbers.
Y6: Find highest common factor and lowest common multiple of sets of numbers.

Day 2
Y5: Mentally multiply 2-digit numbers by 1-digit numbers. Explain strategies.
Y6: Derive the 0.3 times table then related facts.
Mentally multiply 2-digit numbers with 1 decimal place by 1-digit numbers.

### Mastery: Reasoning and Problem-Solving

Y5

• Is the lowest common multiple of 6 and 4 smaller than the highest common factor of 30 and 45?
Write common factors of 24 and 48.
Write common multiples of 3 and 5 up to 60.
Are any numbers in both sets?
• True or false?
There are exactly four 2-digit, common multiples of 3 and 7.
4 and 5 are common factors of all 2-digit multiples of 10.
15 is a factor of 100.
• If 350 ÷ 5 is 70, calculate 350 ÷ 10, 350 ÷ 20 and 350 ÷ 70.
Now try 350 ÷ 2.5.

Y6

• Which pair(s) of numbers under 20 have the largest number of common factors? What is the highest common factor?
Write common multiples of 4 and 6 up to 60. What is the lowest common multiple?
Use this information to find the lowest common multiple of 8 and 12.
• Write out the 0.7 times table up to 12 × 0.7. Use this to help you write the 2.7 times table.

Y5 In-depth investigation: LCM Squares
Children use trial and improvement to find the smallest possible total on a square of lowest common multiples.

Y6 In-depth investigation:
Use the Day 2 group activity for Working at ARE/Working at Greater Depth, supporting children working towards ARE.

### Extra Support

Y5: Mammoth Multiplications
Using known times tables and place value to multiply, e.g. 4 × 3, 4 × 30, 4 × 300

Y6: Factor Hunt
Finding factors of numbers within times tables