MA.7.A.1.2Archived Standard

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Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease.

Remarks

Example: A merchant buys CDs for $11 wholesale and marks up the price by 35%. What is the retail price?

 

Example: You are at a party with 100 people. 99% of the people are FSU fans. Some of the FSU fans left the party and now 98% of the people are FSU fans. How many people are still at the party?
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Big Idea: BIG IDEA 1 - Develop an understanding of and apply proportionality, including similarity.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC , GR item(s)
    • At Grade 7, this benchmark will be assessed using MC and GR items.
  • Clarification :
    Students will solve single- or multi-step percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease, using appropriate computations and rounding strategies where appropriate.
  • Content Limits :
    Items may include solving for the whole, the part, or the percent.

    Percents greater than 100 should be in multiples of 10 or 25, up to 300.

    Percents less than 100 should be whole numbers or mixed numbers, which can be written in decimal form (e.g., 3 1/2% as 3.5%).

    Items may require the student to round answers to the nearest whole number, dollar, cent, percent, or other amount, as appropriate.
  • Stimulus Attributes :
    All items should be set in a real-world context.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: Mario studied the temperature changes that occur when cold fronts pass through a region. One day, he recorded the temperature in the morning and again after a cold front passed through in the afternoon.

    Recorded Temperatures Table

    Which is closest to the percent of decrease in these temperatures?

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question: In August, Music Maze priced all the compact discs (CDs) at $10. In October, these same CDs were discounted 50%, and in December they were reduced an additional 25%. What was the price of one CD after both discounts?
  • Difficulty: N/A
  • Type: GR: Gridded-Response

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plans

Real Life Tax, Tip, and Discount!:

Students calculate the tax, tip, and discount in real-world situations.

Type: Lesson Plan

Pricing Twelve Days of Celebration:

Students will discover how much items would cost if they were to give gifts for 12 days. They will learn how to calculate and add sales tax to find a total.

Type: Lesson Plan

Here's a tip!:

Students will solve problems involving sales tax and tips; students will apply the properties of operations with numbers in decimal, percent, and fraction form. Students will convert between numbers in any form as appropriate.

Type: Lesson Plan

Let's Go Shopping: Calculating Percents:

In this lesson, students will participate in a simulated shopping experience where they choose items they would like to purchase from local sale advertisements. The students will be able to apply the percent formula and the percent of change formula to real world financial situations. Students will learn how to calculate percent discounts, their percent of savings, and tax. The students will analyze, compare, draw conclusions and explain in writing why specific types of discounts are the most advantageous given specific situations.

Type: Lesson Plan

Teaching Idea

Calculating Sharks-SeaWorld Classroom Activity:

  • Given data about sharks and the amount of food they eat, students will be able to solve for the unknown in percentage problems.
  • Given information about a shark's growth, students will be able to graph coordinates and interpret a linear graph.
  • Given the conversion factor, students will be able to convert from metric to English units.

Type: Teaching Idea

Tutorial

Using the Proportion Method to Solve Percent Problems:

This site explicitly outlines the steps for using the proportion method to solve three different kinds of percent problems. It also includes sample problems for practice determining the part, the whole or the percent.

Type: Tutorial

Unit/Lesson Sequence

Percents: What's the Use?:

This activity focuses on the use of percents in situations involving discounts and taxes. The students are assigned an interview to discover the use of percents in various careers. Working in pairs and using shopping catalogues, they will further their knowledge of percents by calculating discounts and taxes. To access their knowledge of percents, there is a writing activity and an assignment to create a menu with questions and an answer key.

Type: Unit/Lesson Sequence

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Tutorial

Using the Proportion Method to Solve Percent Problems:

This site explicitly outlines the steps for using the proportion method to solve three different kinds of percent problems. It also includes sample problems for practice determining the part, the whole or the percent.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.