Wednesday
Wednesday: Two patterns
Ferris the Fox and Bennie the Bear walk side by side along the trail.
"For every step I take, I count 1," says Ferris.
"My steps are longer," says Bennie. "For each of your steps, I count 2."
They write down their counts as they go.
Ferris writes 0, 1, 2, 3, 4. Bennie writes 0, 2, 4, 6, 8.
"Look," says Ferris. "Each of your numbers is twice mine."
"Let us pair them up and plot them on the grid," says Bennie.
Learn it: two rules, then ordered pairs
Rule A: start at 0 and add 1. 0, 1, 2, 3, 4.
Rule B: start at 0 and add 2. 0, 2, 4, 6, 8.
Pair the terms in order: (0, 0), (1, 2), (2, 4), (3, 6), (4, 8).
Each term in Rule B is 2 times the matching term in Rule A.
The points line up in a straight line.
If we extend the line, it passes through the origin.
- Read the question.
- Tap your answer.
- Read the question.
- Tap your answer.
- The rule is: start at 0 and add 4.
- Put the terms from first to fifth.
| Sentence | True or false? |
|---|---|
| Adding 2 from 0 gives 0, 2, 4, 6, 8. | ? |
| The pair (3, 6) fits the rules add 1 and add 2. | ? |
| The pair (4, 6) fits the rules add 1 and add 2. | ? |
| 12 × 2 = 24 | ? |
Ask a grown-up to count 2 for each of your steps.
Write your counts as ordered pairs.
Plot them on grid paper. Do they make a straight line?
Pattern pros! Tomorrow Chris tells a story about shape families.