Algebra 1 2-7 Guided Practice: Solving Proportions

10

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

32 red & 48 blue

16 red & 24 blue

48 red & 64 blue

12 red & 16 blue

A.CED.1

A.REI.3

10

A.CED.1

A.REI.3

10

Take Note: Define ratio.

5

Take Note: Provide an example of a simplified ratio.

10

Take Note: Define proportion.

5

Take Note: Provide an example of a proportion.

10

Problem 1 Got It? What is the solution of the proportion?

7.14

5.6

8.75

6.5

A.CED.1

A.REI.3

10

Take Note: Define cross products.

5

10

Problem 2 Got It? What is the solution of the proportion?

9/5

5/9

3/15

5

A.CED.1

A.REI.3

10

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

A.CED.1

10

Problem 3 Got It? What is the solution of the proportion?

5

-5

1

-1

A.CED.1

A.REI.3

10

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

64.67 mg

10.63 mg

0.99 mg

145.5 mg

A.CED.1

A.REI.3

N.Q.1

10

Algebra 1 2-7 Guided Practice: Solving Proportions

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

Take Note: Define ratio.

Take Note: Provide an example of a simplified ratio.

Take Note: Define proportion.

Take Note: Provide an example of a proportion.

Problem 1 Got It? What is the solution of the proportion?

Take Note: Define cross products.

Problem 2 Got It? What is the solution of the proportion?

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

Problem 3 Got It? What is the solution of the proportion?

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

Explain your answer.

Take Note: Define ratio.

Take Note: Provide an example of a simplified ratio.

Take Note: Define proportion.

Take Note: Provide an example of a proportion.

Problem 1 Got It? What is the solution of the proportion?

Take Note: Define cross products.

Take Note: Fill in the blank:
The cross products of a __________ are equal.

Take Note: Fill in the blank:
Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0.
ad=_____
Select all that apply.

Take Note: Identify the extremes of the proportion. Select all that apply.

Take Note: Identify the means of the proportion. Select all that apply.

Problem 2 Got It? What is the solution of the proportion?

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

Problem 3 Got It? What is the solution of the proportion?

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Explain your answer.

Take Note: Fill in the blank:
The cross products of a __________ are equal.

Take Note: Fill in the blank:
Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0.
ad=_____
Select all that apply.

Take Note: Identify the extremes of the proportion. Select all that apply.

Take Note: Identify the means of the proportion. Select all that apply.

Algebra 1 2-7 Guided Practice: Solving Proportions

Algebra 1 2-7 Guided Practice: Solving Proportions

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

Take Note: Define ratio.

Take Note: Provide an example of a simplified ratio.

Take Note: Define proportion.

Take Note: Provide an example of a proportion.

Problem 1 Got It? What is the solution of the proportion?

Take Note: Define cross products.

Problem 2 Got It? What is the solution of the proportion?

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

Problem 3 Got It? What is the solution of the proportion?

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C. About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

Explain your answer.

Take Note: Define ratio.

Take Note: Provide an example of a simplified ratio.

Take Note: Define proportion.

Take Note: Provide an example of a proportion.

Problem 1 Got It? What is the solution of the proportion?

Take Note: Define cross products.

Take Note: Fill in the blank:The cross products of a __________ are equal.

Take Note: Fill in the blank:Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0. ad=_____Select all that apply.

Take Note: Identify the extremes of the proportion. Select all that apply.

Take Note: Identify the means of the proportion. Select all that apply.

Problem 2 Got It? What is the solution of the proportion?

Problem 2 Got It? Reasoning: Would you rather use the Cross Products Property or the Multiplication Property of Equality (aka multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

Problem 3 Got It? What is the solution of the proportion?

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C. About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Explain your answer.

Take Note: Fill in the blank:The cross products of a __________ are equal.

Take Note: Fill in the blank:Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0. ad=_____Select all that apply.

Take Note: Identify the extremes of the proportion. Select all that apply.

Take Note: Identify the means of the proportion. Select all that apply.

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Fill in the blank:
The cross products of a __________ are equal.

Take Note: Fill in the blank:
Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0.
ad=_____
Select all that apply.

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

Take Note: Fill in the blank:
The cross products of a __________ are equal.

Take Note: Fill in the blank:
Assume that \frac{a}{b}=\frac{c}{d}, b\neq 0, and d\neq0.
ad=_____
Select all that apply.