To represent something means to show an idea or concept. One concept can be represented in multiple ways.

Additive means related to addition. An additive structure is one that is composed by adding parts.

Multiplicative means related to multiplication. A multiplicative structure is one that is composed by multiplication.

Identify structures within stories and use knowledge of structures to create stories

Maths

Explain how a combination of different parts can be equivalent to the same whole

Identify the missing part using knowledge of relationships and structures

Use a model to interpret a part-part-whole problem with three addends

Create stories to match structures presented in a model

Use knowledge of additive structure to solve problems

Use mental strategies and known facts to calculate the value of a missing part

Use written strategies and known facts to calculate the value of a missing part

Represent an equation in a part-part-whole model correctly

Use part-part-whole structures to solve additive problems in a range of contexts

In this unit pupils will identify structures within stories. They will use their knowledge of structures to create stories and use their knowledge of additive structures to solve problems. In the future it pupils will use the concept of 'same sum' to simplify and solve addition problems.

In the prior unit pupils used the most efficient and reliable strategy to find the change. In this unit pupils will  identify structures within stories and use their knowledge of structures to create stories and use their knowledge of additive structures to solve problems.

In this unit pupils will identify the mathematical structures within stories and use their knowledge of additive structures to create stories and to solve problems.

Use knowledge of part-part-whole structure to solve additive problems

Alex has three different fruits for a snack. He has the same number of cherries and grapes but fewer strawberries. Which model could represent this?

The same number of cherries, grapes and strawberries.

More grapes than strawberries and cherries.

More grapes than cherries. The same number of cherries and strawberries.

Which story could these number rods represent? 
A snack box contains:

A combination of additive and multiplicative structures

Match the model to the structure that it represents.

some parts are equal and some parts are unequal

Match the structure to the correct description for the size of the parts.

Use this model to solve the problem. Each angle in a rectangle measures 90° What is the total of all angles in the rectangle? {{ }}°

Alex was training for a swimming race. On Monday he swam 1,250 m, on Wednesday he swam 1,500 m and on Friday he swam 1,750 m.  How far did he swim in total in the week?{{ }} m

What operation is needed to solve this problem? Lucas has 210 marbles. He packs them equally into ten bags. How many marbles are in each bag? 

Which numbers in the bar model are the addends? (MC)

What is the missing addend in this bar model?

Which two addends would make the total of 460?

Alex was training for a swimming race. On Monday he swam 1,400 m. On Wednesday he swam 1,500 m and on Friday he swam 1,200 m. How far did he swim?{{ }} m

Complete the column addition to find the sum.

Identify structures within stories and use knowledge of structures to create stories

Lesson outcome