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Problem type | # of tasks | PSTs example | Number choices |
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Join Change Unknown | 5 | “Joshua collects rocks. He likes to keep them in bags of ten. Last week he had a total of ____ bags. After finding some more this week, he now has ____ bags. How many rocks did Joshua find this week?” | Number Choices: 5, 6) (5, 8) (8, 12) (9, 15) |
Join Result Unknown | 8 | I would create Joint-Result-Unknown (JRU) or Separate-Result-Unknown (SRU) problems for the students. A JRU example would be “Sunny has ____ fish, and then she buys ____ more. How many fish does she have now?” Number choices would include | Number Choices: {(10, 50) (20, 30) (10, 41) (15, 25)}. |
Compare change unknown | 1 | Emilio had 64 soccer cards. Sunny had 28 soccer cards. How many more soccer cards does Emilio have than sunny? | |
Separate result unknown | 4 | Emilio has __soccer balls. __ Soccer balls roll away. How many Soccer balls are left? | Number Choices: (15, 5) (26, 16) (57, 27) (81, 51) |
Group size unknown | 2 | Jack has 65 pencils. He wants his 5 classmates to each have an equal amount of pencils. How many would each classmate get?” | No number Choices |
Number of groups unknown | 3 | Sunny has 94 chocolate chips. She needs 10 chocolate chips to make a cookie. How many cookies can Sunny make? | No number Choices |
Both product unknown & Joint Result Unknown | 4 | Sunny has 8 rolls of candy. Each package has 11 candies in it. She also has 12 extra candies. How many candies does she have in all? | No number Choices |
Product unknown and compare result unknown | 1 | Mary had __ bags of cookies with __ cookies in each bag and Amy had __ bags of cookies with __ cookies in each bag. Which one had more cookies? | No number Choices |
Relational thinking problems | 1 | 40 + 60 = - + - | No number Choices |
True/false sentences | 1 | 10 + 2 = 6. | No number Choices |
10 + 5 = 5 + 10 |
10 + 10+10 + 9 = 20 + 19 |
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