Student Page 2.7.6 Linear Function Card Sort
Directions:
Cut apart the cards on the next page.
Sort the cards into 4 sets so that each card in a set represents the same linear function. Each set contains 3 cards, one for each of 3 different representations.
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For each card set:
List the card numbers for cards that represent the same linear function in the appropriate cells.
One representation is missing for each card set. Put an X in the cell to show the representation is missing for that card set.
1. Card Set 1.
- Equation
\(\displaystyle y = 8x + 5\)
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
2. Card Set 2.
- Equation
\(\displaystyle y = -0.75x + 20\)
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
3. Card Set 3.
- Equation
\(\displaystyle y = 5x + 8\)
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
4. Card Set 4.
- Equation
\(\displaystyle y = 0.5x + *\)
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
5. Card Set 5.
- Equation
X
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
6. Cards that don't fit other card sets.
- Equation
Include card numbers for this representation:
- Graph
Include card numbers for this representation:
- Table
Include card numbers for this representation:
- Story
Include card numbers for this representation:
7.
For each missing representation, create a card that fits the linear function card set. For example, if the card set is missing a table, create a table that fits the linear function. Explain how you know your representation fits the linear function.
8.
There are 3 cards that do not fit any of the 3-card sets. For each of these cards:
(a)
Write the number of the card in Student Page Exercise 2.7.6.6. (All of the equations are listed in the previous exercises. One equation doesn't fit any card set. Write its card number in Student Page Exercise 2.7.6.6.)
(b)
If the card does not show an equation, find an equation that fits the card.
(c)
Create a story in a real context that fits the card. The other word problems in the card sort can serve as examples.
Attach this sheet to your work.
