This displays the Getting started on page 110.

Encourage students to come up with some examples of their own.

This displays some number stories about a frog and the number lines to show how to jump backwards to solve them.

Point out that this is repeated subtraction.

Encourage students to see the multiplication in the diagrams.

(3 lots of 4 m jumps backwards) = 12 m backwards, so the frog had to make 3 jumps.

This gives some problems about Benny burying bones in rows and asks how many rows there would be. The array for the first one is shown and then a large array is given that you can use to help students work out the answers to the other “How many sets of ...?” questions.

Note: You could use this with a smart board or pdf writer, or display it onto a write-on surface so you can ring the array required to answer the question on the large array.

This displays diagrams that illustrate that halving is the same as dividing by 2.

This shows arrays and equations that illustrate the commutative property.

This illustrates a family of facts with four arrays.

Students are asked to write a family of facts for two given sets of arrays

Give students some play money.

Tell a story about winning money in a raffle.

Ask students to share $20 amongst four people but predict how much each person will get first.

Then give students some other sharing problems such as:

$30 shared by 5

$24 shared by 4 etc

This gives some problems about sharing bananas between monkeys at the zoo and asks how many each would get. The array for the first one is given and then a large array is given that you can use to help students work out the answers to the other “Sharing” questions.

Give students some counters and ask them to show the array for 8 x 6. Ask them to use this to write the answer for 48 ÷ 8 = ?

Now ask students to halve the number of rows but still use the same number of counters.

They will quickly realise that the number of counters in each row must double so that 48 ÷ 4 = 12.

Using an array, show students that when the number of rows doubles, the number in each row halves and vice versa.

This displays some simple division problems where there are left overs.

It asks students to match each with the division that is closest that gives the exact answer.

Example:  25 ÷ 4 would match with 24 ÷ 4 = 6 so 25 ÷ 4 = 6 with 1 left over.