Number Patterns

NZ Level 4

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 pronumerals.

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

Complete the following pattern.

$0.01$0.01 $0.02$0.02 $0.03$0.03 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $c$

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

Complete the following pattern.

$0.15$0.15 $0.14$0.14 $0.13$0.13 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $x$

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

Consider the following pattern.

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.

AThe numbers are increasing by $80$80.

BThe numbers are increasing by $8$8.

CThe numbers are increasing by $0.8$0.8.

DThe numbers are increasing by $0.08$0.08.

AThe numbers are increasing by $80$80.

BThe numbers are increasing by $8$8.

CThe numbers are increasing by $0.8$0.8.

DNow complete the pattern.

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

`x`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