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Solve Percent Problems Using Proportions

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Solve Percent Problems Using Proportions

TEKS Math: 7.4.D

(D) Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems

AU Math: ACMNA187

(Y8) Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)

ACMEM011

(Y11-12) Calculate a percentage of a given amount (ACMEM011)

ACMEM013

(Y11-12) Apply percentage increases and decreases in situations; for example, mark-ups, discounts and GST (ACMEM013)

CCSS Math: 7.RP.3

7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

This ratios and proportional relationships lesson covers how to solve multistep percent problems using proportions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students determine what the question is asking, and then the corresponding percent and quantity by drawing a diagram. Then, they set up a proportion for the percent and quantity, cross multiply, and solve for the unknown quantity. Finally, they interpret the solution, identifying whether it was a percent increase (tax, tip, or markup) or a percent decrease (sale, discount, or coupon).

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Standard Alignments:

TEKS Math: 7.4.D

(D) Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems

AU Math: ACMNA187

(Y8) Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)

ACMEM011

(Y11-12) Calculate a percentage of a given amount (ACMEM011)

ACMEM013

(Y11-12) Apply percentage increases and decreases in situations; for example, mark-ups, discounts and GST (ACMEM013)

CCSS Math: 7.RP.3

7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.


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