Week 06 · Two steps and patterns
Monday
Two-step problems
// Solve, estimate and look for patterns
⏱ about 15 min
Monday: Two-step problems
Oliver the Owl taps his pocket watch and adjusts his glasses.
"Good morning," he says. "Today we shall solve problems in two steps."
"I gathered 3 boxes of 8 pinecones. Then I gave 5 to Hazel."
"How many pinecones do I have now?"
Bennie the Bear nods slowly. "First, find how many pinecones in the boxes."
"Then take away the ones Oliver gave to Hazel."
Learn it: one step, then the next
Step 1: 3 boxes of 8 is 3 × 8 = 24 pinecones.
Step 2: Oliver gives away 5. 24 - 5 = 19.
Oliver has 19 pinecones now.
We can write one equation with a letter for the unknown.
Let p stand for the pinecones Oliver has now.
3 × 8 - 5 = p, so p = 19.
FIND THE FIRST STEP
- Read the question.
- Tap your answer.
Hazel has 4 bags of 6 stickers. She gets 7 more. How many in the bags?
Riley has 30 stones and drops 6. He shares the rest with 4 friends. How many are left after the drop?
Lucy picks 5 rows of 5 daisies, then 3 more. How many in the rows?
Donnie sees 20 birds, then 12 more. They sit in 4 equal groups. How many birds in all?
SOLVE BOTH STEPS
- Read the question.
- Tap your answer.
Hazel has 4 bags of 6 stickers. She gets 7 more. How many stickers now?
Riley has 30 stones and drops 6. He shares the rest among 4 friends. How many each?
Lucy picks 5 rows of 5 daisies, then 3 more. How many daisies?
Donnie sees 20 birds, then 12 more. They sit in 4 equal groups. How many in each group?WHICH EQUATION FITS?
- Read the question.
- Tap your answer.
Oliver has 3 boxes of 8 pinecones. He gives away 5. Let p be what is left.
Bennie has 6 baskets of 4 apples. He finds 10 more. Let a be the total.
Riley has 40 shells. He gives 4 friends 5 shells each. Let s be what is left.SOLVE A TWO-STEP PROBLEM
- Think about how Oliver solves problems.
- Tap the steps in order.
1First
2Next
3Then
4Last
Multiply first, then add or subtract.
| Sentence | True or false? |
|---|---|
| 3 × 8 - 5 = 19 | ? |
| 4 × 6 + 7 = 31 | ? |
| 5 × 5 + 3 = 30 | ? |
| 40 - 4 × 5 = 20 | ? |
WHY THIS EXERCISE5 × 5 + 3 is 28, not 30.
Try it
Make 3 piles of 4 spoons or blocks.
Add 2 more to the table.
Write an equation with a letter for the total.
Count to check it.
Add 2 more to the table.
Write an equation with a letter for the total.
Count to check it.
Draw Oliver's 3 boxes of 8 pinecones. Cross out the 5 he gives away.
Splendid work! Tomorrow we check answers by estimating.