NZ Level 4
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Generalising patterns using tenths or hundredths
Lesson

You may have started looking at how to write rules to describe patterns with decimals and fractions. A general rule uses pronumerals, which are letters used to represent unknown values.

Watch this video to learn more about how to write general rules to describe patterns. 

 

Worked examples

Question 1

Complete the pattern by adding $0.3$0.3 each time.

  1. $0.4$0.4 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
  2. If $b$b belongs to the same pattern, what is the next number?

Question 2

Consider the following pattern.

  1. What is the pattern?

    $6.3$6.3 $5.9$5.9 $5.5$5.5 $\editable{}$ $\editable{}$ $\editable{}$

    The numbers are decreasing by $4$4.

    A

    The numbers are decreasing by $0.4$0.4.

    B

    The numbers are decreasing by $40$40.

    C

    The numbers are decreasing by $0.04$0.04.

    D

    The numbers are decreasing by $4$4.

    A

    The numbers are decreasing by $0.4$0.4.

    B

    The numbers are decreasing by $40$40.

    C

    The numbers are decreasing by $0.04$0.04.

    D
  2. Now complete the pattern.

    $6.3$6.3 $5.9$5.9 $5.5$5.5 $\editable{}$ $\editable{}$ $\editable{}$
  3. If $b$b belongs to the same pattern, what is the number after $b$b in the pattern?

Question 3

Complete the pattern by subtracting $\frac{1}{10}$110 each time.

  1. $\frac{6}{10}$610 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
  2. If $c$c belongs to the same pattern, what is the next number?

Outcomes

NA4-2

Understand addition and subtraction of fractions, decimals, and integers

NA4-9

Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns

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