Number Patterns
UK Primary (3-6)
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Generalising patterns with fractions in tenths or hundredths
Lesson

You may have already looked at how to write a rule to describe number patterns. Now we are going to extend this and learn how to write general rules using variables

A variable is a letter mathematicians use to represent an unknown value. Watch this value to see how we can use variable to describe patterns with fractions.

 

Worked examples

Question 1

Complete the following pattern.

  1. $0.01$0.01 $0.02$0.02 $0.03$0.03 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
  2. If $c$c belongs to the same pattern, what is the next number?

Question 2

Complete the following pattern.

  1. $0.15$0.15 $0.14$0.14 $0.13$0.13 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
  2. If $x$x belongs to the same pattern, what is the next number?

Question 3

Consider the following pattern.

  1. What is the pattern?

    $0.03$0.03 $0.11$0.11 $0.19$0.19 $\editable{}$ $\editable{}$ $\editable{}$

    The numbers are increasing by $0.08$0.08.

    A

    The numbers are increasing by $80$80.

    B

    The numbers are increasing by $8$8.

    C

    The numbers are increasing by $0.8$0.8.

    D

    The numbers are increasing by $0.08$0.08.

    A

    The numbers are increasing by $80$80.

    B

    The numbers are increasing by $8$8.

    C

    The numbers are increasing by $0.8$0.8.

    D
  2. Now complete the pattern.

    $0.03$0.03 $0.11$0.11 $0.19$0.19 $\editable{}$ $\editable{}$ $\editable{}$
  3. If $x$x belongs to the same pattern, what is the next number?

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