NZ Level 4
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Fraction patterns with tenths and hundredths (add/sub)
Lesson

Working with patterns with fractions uses the concepts of patterns and applies it to the addition and subtraction of fractions. Watch the video below to see how to do this!

So to complete a pattern with fractions, we need to:

  1. Find the pattern - which will either be given, or which will need to be found by looking at the list of numbers.
  2. Continue the pattern - using the pattern that you found.

 

Worked Examples

Example 1

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

  1. $\frac{4}{10}$410 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

Example 2

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

  1. $\frac{6}{10}$610 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

Example 3

Consider the following pattern.

  1. What is the rule for finding the next number in the pattern?

    $\frac{3}{10}$310 $\frac{9}{10}$910 $1\frac{5}{10}$1510

    $\editable{}$$\frac{\editable{}}{\editable{}}$

    $\editable{}$$\frac{\editable{}}{\editable{}}$

    $\editable{}$$\frac{\editable{}}{\editable{}}$

    The numbers are increasing by $\frac{6}{100}$6100.

    A

    The numbers are increasing by $6$6.

    B

    The numbers are increasing by $\frac{6}{10}$610.

    C

    The numbers are increasing by $6\frac{1}{10}$6110.

    D

    The numbers are increasing by $\frac{6}{100}$6100.

    A

    The numbers are increasing by $6$6.

    B

    The numbers are increasing by $\frac{6}{10}$610.

    C

    The numbers are increasing by $6\frac{1}{10}$6110.

    D
  2. Now complete the pattern.

    $\frac{3}{10}$310 $\frac{9}{10}$910 $1\frac{5}{10}$1510

    $\editable{}$$\frac{\editable{}}{\editable{}}$

    $\editable{}$$\frac{\editable{}}{\editable{}}$

    $\editable{}$$\frac{\editable{}}{\editable{}}$

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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