AO1: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.

 Students work out their own generalizations of the properties of number operations through their exploration of addition, subtraction, multiplication and division.

This unit explores how the suite of learning objects, "Squirt", can be used to support students’ development of multiplicative thinking. Squirt encourages students to anticipate multiplicative measurement relationships, e.g. three measures of A fit in B, by partially filling a container and imaging how many more squirts will be needed. Since the containers are not always cylindrical it also develops ideas about conservation of volume.

These exercises and activities are for students to use independently of the teacher to practise number properties.

These exercises and activities are for students to use as a week’s homework to practice number properties

These exercises and activities are designed for students to use independently to practise number properties.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand activity from the Figure It Out series.

This is a level 3 and 4 algebra strand activity from the Figure It Out series.

This is a level 3 algebra strand link activity from the Figure It Out series.

This is a level 3 algebra strand link activity from the Figure It Out series.

This is a level 3 algebra strand link activity from the Figure It Out series.

This is a level 3 algebra strand link activity from the Figure It Out series.

This is a level 3 algebra strand link activity from the Figure It Out series.

This is a level 3 number and algebra strand activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series.

This is a level 3 algebra activity from the Figure It Out series.

This is a level 3 algebra activity from the Figure It Out series.

This is a level 2 and 3 algebra link activity from the Figure It Out series.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

These are level 3 number, algebra, and geometry problems from the Figure It Out series.

These are level 3 algebra and statistics problems from the Figure It Out series.

These are level 3 number, statistics, and algebra problems from the Figure It Out series.

These are level 3 algebra and geometry problems from the Figure It Out series.

This is a level 3 number, algebra and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra, statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 2 number and level 3 algebra activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 2 number and statistics, level 3 algebra activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 2 number and level 3 algebra activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 3 number and algebra activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 2 number and statistics and level 3 algebra activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 2 number and statistics activity and a level 3 algebra activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 3 number and algebra activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 algebra activity from the Figure It Out theme series.

These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10 to 15 minute activity.

This unit of work is based on the Māori medium unit Te Whakaaro Tūhonohono, and investigates how relational thinking is applied to number operations.