1. Singapore Math Training

3. Singapore Model Drawing Method
Alice earned money from tips from her waitress job. She put ¼ of the money in her savings account. She gave ¾ of the remaining money to the local food bank. She had $12 left for herself. How much money did Alice earn in tips?

4. Let’s Get Started!

5. Step 1: Read the entire problem and underline the question.
Alice earned money from tips from her waitress job. She put ¼ of the money in her savings account. She gave ¾ of the remaining money to the local food bank. She had $12 left for herself. How much money did Alice earn in tips?

6. Step 2: Rewrite question as an answer statement.
How much money did Alice earn in tips?
becomes…
Alice earned _________ in tips.

7. Step 3: Determine who and/or what is involved in the problem.
Alice earned money from tips from her waitress job. She put ¼ of the money in her savings account. She gave ¾ of the remaining money to the local food bank. She had $12 left for herself. How much money did Alice earn in tips?

8. Step 4: Draw a Unit Bar(s)
Alice’s Tips

9. Step 5: “Chunk” the Problem
Draw in information that you know
1/4
Alice’s Tips
savings

10. Food bank contribution
Step 5: “Chunking”…
Continue to fill in information that you know…
1/4
Alice’s Tips
savings
Remainder
Can you see what each fourth is equal to in the bottom bar?
Food bank contribution
$12
3/4

11. Step 6: Perform Calculations
1/4
Alice’s Tips
savings
Remainder
Each fourth is equal to $12, We use the calculation $12 x 4 = $48
So, we know the remainder was $48.
Food bank contribution
$12
$12
$12
$12
3/4

12. Step 6: Perform Calculations
Remainder($48)
1/4
Alice’s Tips
savings
$16
$16
$16
On the top bar, the Remainder is divided into thirds.
$48 / 3 = $16
Food bank contribution
$12
3/4

13. Food bank contribution
Step 7: Conclusion
Remainder ($48)
1/4
Alice’s Tips
savings
$16
$16
$16
$16
We see that each fourth on the top bar is equal to $16. So, the total tips that Alice earned were $16 x 4 = $64
Food bank contribution
$12
3/4

14. Food bank contribution
Step 7: Conclusion
Alice earned $64 in tips.
1/4
Alice’s Tips
savings
$16
$16
$16
$16
Food bank contribution
$12
3/4

15. YOU TRY! (on a separate sheet of paper)
There are 600 people at a beach. 2/3 of them are men while the rest are women and children. 1/3 of the number of women equals to ½ of the number of children. If 1/10 of the women and ¼ of the children cannot swim, how many women and children can swim?