# Building Graphs

Purpose

This is a level 2 algebra strand activity from the Figure It Out series.
A PDF of the student activity is included.

Achievement Objectives
NA2-8: Find rules for the next member in a sequential pattern.
Student Activity

Click on the image to enlarge it. Click again to close. Download PDF (293 KB)

Specific Learning Outcomes

continue a sequential pattern

continue a spatial pattern

show a pattern on a graph

Required Resource Materials
cuisenaire rods

FIO, Level 2-3, Algebra, Building Graphs, page 10

pattern blocks

Activity

#### Activities One, Two, and Three

As with the graphs formed for page 9, these relations can be shown as sets of points. These points can be written as ordered pairs, such as {(1,4), (2,8), (3,12), (4,16), …}, where the first number (the independent variable) gives the number of sheep and the second number (the dependent variable) gives the number of legs in Activity One.
The two graphs required are shown in the Answers section.
With both graphs, the sets of points lie along a line because the patterns increase by a regular number between points. For example, in the graph for Activity One, there are four more legs for each extra sheep.

Activity One

1. 3 sheep, 12 legs
4 sheep, 16 legs
5 sheep, 20 legs
6 sheep, 24 legs

2.

3. Answers could include: The pattern is diagonal.

Activity Two

Activity Three