Pattern Building
Missing Figures
Trickier Puzzles Ahead!
Use whichever representation (table, equation, graph, sentence) you find most useful to solve these puzzles.
What is the initial value in this pattern?
What are you assuming?
What’s the initial value in THIS pattern?
Term 6
Term 4
Term 2
Which representation did you use? Why?
A linear pattern produces this graph.
How many circles would be in figure 15?
What representation did you use? Why?
Number of Circles
Figure Number
How could you use a graph to find the missing value for this linear pattern?
Would this be your first choice of representation to use? Why or why not?
Term # | Number of Squares |
1 | 5 |
4 | ? |
7 | 23 |
To find the rule for this pattern, which representation would you want to use? Use it.
How would you colour code this pattern to show the initial value and the rate of change?
Someone claims that an expression that models this linear pattern is 4 + 3n, where n represents the figure number.
Challenge or defend their thinking. Be specific.
2
4
You want to know which term is shown here?
Which representation would you use? Why? Use it.
Term1
Term 2
Term3
Term ?
What representation would you use to help you find the number of flowers in the 23rd term of this linear pattern?
What would figure 5 look like?
To find the equation for this linear pattern, which representation would you use? Why? Use it.
3
2
1
A linear pattern has 35 squares in the 8th term and its rate of change is 4.
How would you find out what the initial value is?
What representation would you use? Why?