Patterns and Relationships
Lesson
In Looking for Patterns, we discovered that if a sequence of numbers increase or decrease by a regular amount, we can describe this as a number pattern. So far, we've only looked at numbers that increase or decrease by a whole number. Now we are going to build on that knowledge and find patterns with fractions and decimals as well.
Let's start by watching a video.
Summary
- Decide whether the numbers are increasing or decreasing.
- Work out how much they are increasing/ decreasing by each time.
- Now you can write a rule to describe the pattern and to find the next number in the pattern (e.g. "Add $0.7$0.7 each time," or "Subtract $\frac{1}{3}$13 each time.")
- Use the rule you found to work out the next number in the pattern.
Worked Examples
Question 1
Complete the pattern.
$\frac{1}{10}$110 $\frac{2}{10}$210 $\frac{3}{10}$310 $\editable{}$ $\editable{}$ $\editable{}$
Question 2
Complete the pattern.
$4.2$4.2 $4.0$4.0 $3.8$3.8 $\editable{}$ $\editable{}$ $\editable{}$
Question 3
Complete the pattern.
$\frac{1}{10}$110 $\frac{2}{10}$210 $\frac{3}{10}$310 $\editable{}$ $\editable{}$ $\editable{}$ What is the rule for finding the next number in the pattern?
Subtract $\frac{1}{10}$110
AAdd $1$1
BAdd $\frac{1}{10}$110
CSubtract $1$1
D