Number Patterns

NZ Level 4

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.

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

$0.4$0.4 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $b$

`b`belongs to the same pattern, what is the next number?

Consider the following pattern.

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.

AThe numbers are decreasing by $0.4$0.4.

BThe numbers are decreasing by $40$40.

CThe numbers are decreasing by $0.04$0.04.

DThe numbers are decreasing by $4$4.

AThe numbers are decreasing by $0.4$0.4.

BThe numbers are decreasing by $40$40.

CThe numbers are decreasing by $0.04$0.04.

DNow complete the pattern.

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

`b`belongs to the same pattern, what is the number after $b$`b`in the pattern?

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

$\frac{6}{10}$610 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $c$

`c`belongs to the same pattern, what is the next number?

Understand addition and subtraction of fractions, decimals, and integers

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