- Anna writes 4=1+3 and 4=2+2. Which is another way to make 4?
Answer: 4=0+4
0+4 makes 4. The others do not: 2+3 is 5, 1+2 is 3, and 3+2 is 5. - Review the number line. If you move from 0 to show 6=2+4, what is the correct sequence of moves?
Answer: Move right 2 spaces, then move right 4 more spaces to reach 6
To show 6 = 2 + 4 on a number line starting from 0, you move right 2 spaces (to position 2), then right 4 more spaces (to position 6), demonstrating the addition of the two parts. Distractor B would end at position 2, not 6. Distractor C starts with the total instead of the parts. Distractor D would end at position 2, not 6.
- Using the diagram, which statement about decomposing 7 is correct?
Answer: The diagram shows exactly 3 ways to decompose 7
The diagram shows three valid decompositions: 7 = 1 + 6, 7 = 2 + 5, and 7 = 3 + 4. Students choosing A might miss one decomposition or miscount. Students choosing C might count 4 + 3 as different from 3 + 4. Students choosing D might include invalid combinations or double-count.
- Ben wants to show 8=3+5 using red and blue crayons. He colors some circles red and some blue. How many circles should he color red?
Answer: Ben should color exactly 3 circles red and 5 circles blue
To show 8 = 3 + 5, Ben needs 8 total circles with 3 red and 5 blue, representing the addends 3 and 5. Distractor A uses 11 total circles (3+8). Distractor B reverses the colors (5 red, 3 blue). Distractor D ignores the decomposition entirely.
- Sara makes this pattern with blocks: First she puts 5 blocks in one way: 5=1+4. Then she moves exactly 1 block to make a different way. What is her new equation?
Answer: Sara's new equation could be 5=2+3
Starting with 5 = 1 + 4, moving exactly 1 block from the group of 4 to the group of 1 gives 5 = 2 + 3. Distractor A requires moving 1 block out entirely. Distractor C is the same as B just reordered. Distractor D assumes moving from the smaller group to larger group, but this would require moving 3 blocks, not 1.
