This problem has a Scenario and a Worksheet. The Scenario describes the problem situation and asks some questions. You complete the problem by filling in the Worksheet with details about the problem scenario and answers to the questions. You can hear each question again with its worksheet row label. The Pittsburgh Arrows kicked twelve fewer field goals, each worth three points, than the Dallas Planets this season. Write expressions for the points per field goal and the number of field goals kicked by the Arrows. Enter a variable for the number of field goals kicked by the Planets and use this variable to write an expression for the points scored by the Arrows from kicking field goals. If the Planets kicked thirty eight field goals, how many of the Arrows' points came from field goals this season? If the Arrows scored sixty of their points from field goals, how many field goals did the Planets kick? Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question. Points per field goal points Field goals kicked by Arrows field goals Quantity Name Field Goals Kicked by the Planets Points From Field Goals by the Arrows Unit field goals points Expression If the Planets kicked thirty eight field goals, how many of the Arrows' points came from field goals this season? Question 1 If the Arrows scored sixty of their points from field goals, how many field goals did the Planets kick? Question 2 Workspace Introduction Get started with Modeling Integer Rates of Change by working through the Step-by-Step example. Skip and go to problemBegin Step-by-Step Example This problem has a Scenario and a Worksheet. The Scenario describes the problem situation and asks some questions. You complete the problem by filling in the Worksheet with details about the problem scenario and answers to the questions. You can hear each question again with its worksheet row label. You sell sunglasses that come in small and large boxes. The small box has one layer of sunglasses. The large box has three layers, each of which has one fewer pair of sunglasses than a layer in the small box. Write expressions for the number of layers in a large box and the number of pairs per layer of the large box. Enter a variable for the number of pairs of sunglasses in the small box and use this variable to write an expression for the number of pairs of sunglasses in the large box. If the small box has eight pairs of sunglasses, how many pairs of sunglasses are in the large box? If the large box has thirty-nine pairs of sunglasses, how many pairs of sunglasses are in the small box? Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question. Layers in large box layers Large box pairs per layer pairs of sunglasses Quantity Name Pairs in Small Box Pairs in Large Box Unit pairs of sunglasses pairs of sunglasses Expression If the small box has eight pairs of sunglasses, how many pairs of sunglasses are in the large box? Question 1 If the large box has thirty-nine pairs of sunglasses, how many pairs of sunglasses are in the small box? Question 2

Question

This problem has a Scenario and a Worksheet. The Scenario describes the problem situation and asks some questions. You complete the problem by filling in the Worksheet with details about the problem scenario and answers to the questions. You can hear each question again with its worksheet row label. The Pittsburgh Arrows kicked twelve fewer field goals, each worth three points, than the Dallas Planets this season. Write expressions for the points per field goal and the number of field goals kicked by the Arrows. Enter a variable for the number of field goals kicked by the Planets and use this variable to write an expression for the points scored by the Arrows from kicking field goals. If the Planets kicked thirty eight field goals, how many of the Arrows' points came from field goals this season? If the Arrows scored sixty of their points from field goals, how many field goals did the Planets kick? Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question. Points per field goal points Field goals kicked by Arrows field goals Quantity Name Field Goals Kicked by the Planets Points From Field Goals by the Arrows Unit field goals points Expression If the Planets kicked thirty eight field goals, how many of the Arrows' points came from field goals this season? Question 1 If the Arrows scored sixty of their points from field goals, how many field goals did the Planets kick? Question 2 Workspace Introduction Get started with Modeling Integer Rates of Change by working through the Step-by-Step example. Skip and go to problemBegin Step-by-Step Example This problem has a Scenario and a Worksheet. The Scenario describes the problem situation and asks some questions. You complete the problem by filling in the Worksheet with details about the problem scenario and answers to the questions. You can hear each question again with its worksheet row label. You sell sunglasses that come in small and large boxes. The small box has one layer of sunglasses. The large box has three layers, each of which has one fewer pair of sunglasses than a layer in the small box. Write expressions for the number of layers in a large box and the number of pairs per layer of the large box. Enter a variable for the number of pairs of sunglasses in the small box and use this variable to write an expression for the number of pairs of sunglasses in the large box. If the small box has eight pairs of sunglasses, how many pairs of sunglasses are in the large box? If the large box has thirty-nine pairs of sunglasses, how many pairs of sunglasses are in the small box? Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question. Layers in large box layers Large box pairs per layer pairs of sunglasses Quantity Name Pairs in Small Box Pairs in Large Box Unit pairs of sunglasses pairs of sunglasses Expression If the small box has eight pairs of sunglasses, how many pairs of sunglasses are in the large box? Question 1 If the large box has thirty-nine pairs of sunglasses, how many pairs of sunglasses are in the small box? Question 2

Answer 1

Points per field goal points Field goals kicked by Arrows field goals Quantity Name Field Goals Kicked by the Planets Points From Field Goals by the Arrows Unit field goals points Expression 3 field goals 38 field goals 3*38 = 114 points 114 points If the Planets kicked thirty eight field goals, how many of the Arrows' points came from field goals this season?

Question 1

Pairs in small box pairs in large box Unit pairs of sunglasses pairs of sunglasses Expression 1 pair 3 pairs 3x-3 39 pairs 39-3=36 pairs 8 pairs 8(3)-3=21 pairs If the small box has eight pairs of sunglasses, how many pairs of sunglasses are in the large box?
Question 1