# Changes, Highs, and Lows

Purpose

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

Achievement Objectives
NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
NA4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.
NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
NA4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.
Student Activity

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Specific Learning Outcomes

add and subtract using place value knowledge whole numbers and decimals

Required Resource Materials

A calculator (optional)

3 sets of digit cards (0-9) (see Related Resources)

FIO, Level 3-4, Number, Book 1, Changes, Highs, and Lows, pages 6-7

A classmate

Activity

#### Activity One

The students could use calculators to check the results of what went on in their heads. If they are having difficulty, you could look at Number, Figure It Out, Level 3, pages 2–3, Activity Three. The students could do these easier exercises as a warm-up.

#### Activity Two

To determine the winner of the game in this activity, the students need to add up the numbers for each player to date and then consider the impact of drawing particular cards.
They need to realise that there are only three cards of each digit in the pack, and from this, they can work out the possibility of certain digits being drawn. For example, all the 5s and all the 9s have already been drawn, but only one 1 and one 8 have been drawn.
When the students play this game, encourage them to think of the strategies that will give them the best score. For example, to gain the highest score, they should try to put the largest digits in the positions that have the highest place value.

Activity One
1. 2 033
c. Subtract 12 345.
d. Subtract 5.
e. Subtract 3.61.