Year 4

# Multiplication: Trays of arrays

Students learn to use the properties of multiplication to solve multiplication problems which are represented as an array.

Year 4

### Task 1 • How many cupcakes?

Students learn that an array can be partitioned into smaller arrays to help work how many there are altogether.

Multiplication: Trays of arrays
Year 4

Students learn that factors can be partitioned and distributed to make partial products in multiplication.

Multiplication: Trays of arrays
Year 4

### Task 3 • How can I work it out?

Students build their understanding of the distributive property.

Multiplication: Trays of arrays
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Year 4

### Task 4 • Packing rolls

Students learn that when multiplying two numbers, halving one number and doubling the other does not change the product.

Multiplication: Trays of arrays
Year 4

### Task 5 • Packing cakes

Students learn that when multiplying a set of numbers, the product is the same no matter how the numbers are grouped.

Multiplication: Trays of arrays
Year 4

### Task 6 • Transforming arrays

Students complete an activity with arrays to build their understanding of the associative property.

Multiplication: Trays of arrays
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Year 4

### Task 7 • Card sort

Students complete a card sort activity to consolidate their understanding of the distributive and associative properties of multiplication.

Multiplication: Trays of arrays
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## Suggested implementation

This time plan is just one way that you might choose to implement this sequence. We have used a warm-up activity at the start of most lessons, and a number of tasks are split across two lessons. The timing provided in the tasks’ documentation align with this implementation advice.

This time plan is just one way that you might choose to implement this sequence. We have based this plan on 50-minute lessons, with some tasks split across two lessons. The timing provided in the tasks’ documentation align with this implementation advice.

Week 1Week 2
Monday

Task 1 • How many cupcakes?

• Launch and Explore
• Gallery walk

• Launch and Explore
• Connect
• Summarise
Tuesday

Task 1 • How many cupcakes?

• Connect
• Summarise

• Launch and Explore
• Connect
• Summarise
Wednesday

• Launch and Explore
• Connect
• Summarise

• Number string
• Complete the activity Transforming arrays
Thursday

Task 3 • How can I work it out?

• Number string
• Complete the activity How can I work it out?

• Number string

• Complete the card sort activity
Friday

Task 3 • How can I work it out?

• Number string
• Gallery walk and discussion

• Create your own card sort activity

## Curriculum and syllabus alignment

### Achievement standards

Students use their proficiency with addition and multiplication facts to add and subtract, multiply and divide numbers efficiently.