Lesson · Grade 5 · Mathematics
The Start and the Change: Writing Pattern Rules
- Grade 5
- Mathematics
- 1 min 16 s
- British Columbia
- BC5-MA-22
A dot on a number line starts at 4 and jumps 3 each time to make the increasing pattern 4, 7, 10, 13, 16. Every step is checked, and the rule is written in words ("Start at 4. Add 3 each time.") and then in symbols (start 4, change +3). The same numbers read backwards give the decreasing pattern 16, 13, 10, 7, 4, written in words as "Start at 16. Subtract 3 each time." and in symbols as start 16, change −3, and the video ends on the recap that a rule like this gives the start, then the change.
Concept: Increasing and decreasing patterns: the start and the change
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In one sentence
The question this lesson answers
What is the rule for this pattern?
The start is the first number, 4.
Transcript
What the lesson says
What is the rule for this pattern?
The start is the first number, 4.
The change is 3 more each time.
7 plus 3 is 10, 10 plus 3 is 13, and 13 plus 3 is 16.
In words, the rule is: start at 4 and add 3 each time.
In symbols, the start is 4 and the change is plus 3.
The numbers get bigger each time, so the pattern is increasing.
Now, what is the rule for this pattern?
This time, the start is 16.
The change is 3 less each time.
13 minus 3 is 10, 10 minus 3 is 7, and 7 minus 3 is 4.
In words, the rule is: start at 16 and subtract 3 each time.
In symbols, the start is 16 and the change is minus 3.
The numbers get smaller each time, so the pattern is decreasing.
So a rule like this gives the start, then the change.
Curriculum
Where this fits
- British Columbia, Grade 5
Mathematics, Patterns and algebra: rules for increasing and decreasing patterns with words, numbers, symbols, and variablesBC5-MA-22
The outcomes and strands follow the British Columbia curriculum.
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