### Student Page2.7.6Linear Function Card Sort A4US

Directions:

1. Cut apart the cards on the next page.

2. 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.

3. 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:

##### (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. 