Tables of values and two-step rules
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. The same rule turns every input into its output. What number goes in the empty box?
2. The same rule turns every input into its output. What number goes in the empty box?
3. The same rule turns every input into its output. What number goes in the empty box?
4. The same rule turns every input into its output. What number goes in the empty box?
5. The same rule turns every input into its output. What number goes in the empty box?
Answer key · Tables of values and two-step rules
1. 12
The outputs go up by 4 each time the input goes up by 1, so the rule starts with × 4.
1 × 4 = 4, which matches the output for 1. The rule is × 4.
3 × 4 = 12.
2. 20
The outputs go up by 5 each time the input goes up by 1, so the rule starts with × 5.
1 × 5 = 5, which matches the output for 1. The rule is × 5.
4 × 5 = 20.
3. 15
The outputs go up by 5 each time the input goes up by 1, so the rule starts with × 5.
1 × 5 = 5, which matches the output for 1. The rule is × 5.
3 × 5 = 15.
4. 15
The outputs go up by 3 each time the input goes up by 1, so the rule starts with × 3.
1 × 3 = 3, which matches the output for 1. The rule is × 3.
5 × 3 = 15.
5. 6
The outputs go up by 2 each time the input goes up by 1, so the rule starts with × 2.
1 × 2 = 2, which matches the output for 1. The rule is × 2.
3 × 2 = 6.
Try it together
Share a handful of counters into equal groups. Describe the matching multiplication and division facts.