Difference between revisions of "Modeling activity sheet"

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b) How much does one toy car cost if they are all the same price? <br/> <br/>
 
b) How much does one toy car cost if they are all the same price? <br/> <br/>
  
4. 7 pumpkins, each weighing the same, weigh 49 pounds total. 4 of these pumpkins, plus 8 starfish, weigh 52 pounds. Find the weight of 1 starfish.
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4. 7 pumpkins, each weighing the same, weigh 49 pounds total. 4 of these pumpkins, plus 8 starfish, weigh 52 pounds. Find the weight of 1 starfish. <br/> <br/>
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5. Create your own situation that can be modeled by an equation (make sure you can answer it!). Swap problems with another group and solve each other's situations.

Revision as of 19:38, 1 December 2011

The modeling activity sheet I used was adapted from a colleague's pre-algebra quiz about linear equations. Since she did not have a digital copy, I just made changes in class while going through the activity. On this page I have provided all of the questions, pictures, and solution methods.

REASONING WITH TWO-STEP EQUATIONS


Directions: Working with your partner, write equations using variables to describe the situations in each problem.

1. There are 8 presents on a table, and each present weighs the same amount. Combined, the presents weigh 24 pounds. How much does one present weigh? (Even if you can solve this without an algebraic phrase, use a variable to write an equation).

2. 3 of the presents on the table are replaced by 3 books. Now the total weight is 42 pounds. How much does each book weigh?

3. Jackie and Danny went shopping. Jackie bought 5 pens for $15, and Danny bought 2 pens and 6 toy cars for $48.
a) If each pen costs the same amount, how much does each pen cost?
b) How much does one toy car cost if they are all the same price?

4. 7 pumpkins, each weighing the same, weigh 49 pounds total. 4 of these pumpkins, plus 8 starfish, weigh 52 pounds. Find the weight of 1 starfish.

5. Create your own situation that can be modeled by an equation (make sure you can answer it!). Swap problems with another group and solve each other's situations.