Te Kete Ipurangi
Communities
Schools

### Te Kete Ipurangi user options:

Level Two > Number and Algebra

# Different Strokes!

Keywords:
Student Activity:

Click on the image to enlarge it. Click again to close. Download PDF (229 KB)

Achievement Objectives:

Purpose:

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

Specific Learning Outcomes:

explore compatible numbers to 100

Required Resource Materials:
FIO, Level 2, Number, Book 1, Different Strokes, page 2
2 pieces of cardboard
classmate
Activity:

This activity explores groupings within 100. The 100-bead frame, or Slavonic abacus, provides a concrete model of 100. Beads are arranged in 10 rows of 10 beads, with different -coloured groups of fives in each row. Different colours are used for the second 50 beads, which makes it easy to recognise groupings of 25 and 50.
Students who are exploring groupings within 100 should already be familiar with the groupings within 5, 10, and 20.
Although the emphasis is on groupings within 100, the students also need to use the groupings to derive answers that will be just above or below 100, for example:
32 + 68 = 100
so 68 + 33 = (68 + 32) + 1
= 101
Examples of the questions that the students could ask each other are:
100 – 49 = 
81 +  = 100
These problems extend the concept of reversibility. Reversibility refers to the way in which subtraction reverses the effects of addition, for example, 7 – 5 = 2 is the reverse of 2 + 5 = 7. Addition and subtraction problems have been deliberately presented together in this activity to help highlight their relationship.
To develop this work further, the students could modify this activity to work out how many more beads they need to make 50, starting with fewer than 50 beads.

1. a. 68 + 32 =100
b. 68 + 33 =101
c. 100 – 32 = 68
d. 100 – 69 = 31
2. a. 51 beads 100 – 49 = 51 or 100 – 51 = 49
b. 25 beads 100 – 25 = 75 or 100 – 75 = 25
c. 19 beads 100 – 19 = 81 or 100 – 81 = 19
d. 97 beads 100 – 3 = 97 or 100 – 97 = 3

AttachmentSize
DifferentStrokes.pdf228.22 KB

## Making ten

The purpose of this unit of sequenced lessons is to develop knowledge and understanding of combinations to ten. The purpose is also to develop a recognition of the importance of knowing facts to ten and being able to generalise by seeing and applying these patterns with numbers to 100.

These teaching and learning activities support Student e-ako Place Value 1, pages 4 and 5. This unit of work complements learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the third of a series of units developing place value concepts. This unit builds on the previous units of work:

## Using five

The purpose of this unit is to build upon the knowledge students have of combining and separating groupings to five and to use this as a building block to knowing combinations within and up to ten.

These teaching and learning activities also support Student e-ako Place Value 1, pages 4-5 and to complement learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the second in a series of units developing place value concepts. This unit builds on the previous unit of work:

## Knowing five

The purpose of this unit of five lessons is to lay the foundation for an understanding of grouping and to make connections between the different grouping arrangements and the symbolic recording associated with these.

These teaching and learning activities around knowing five also support the Student e-ako Place Value 1, pages 2 and 3, and complement learning activities found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the first in a series of units developing place value concepts. The units that follow are:

## Space Zapper

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

## Jungle Land

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