Mathematics · 7th Grade

Active learning ideas

Markup and Markdown

Active learning works for markup and markdown because students often confuse the base amounts and struggle to visualize how percentages change the value. By manipulating real or simulated prices in hands-on tasks, students directly confront their misconceptions and see immediate feedback on how markup and markdown alter the final price.

• Common Core State Standards
• CCSS.Math.Content.7.RP.A.3

• 20–50 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Simulation Game
• 50 min · Small Groups

Simulation Game: The Classroom Store

Each group manages a fictional product line, receiving a wholesale cost and a target markup percentage to set retail prices. Groups then face a clearance event and must decide on a markdown percentage that still lets them turn a profit. They calculate their results and present their pricing strategy with full mathematical justification.

Differentiate between markup and markdown in pricing strategies.

Facilitation Tip

During the Simulation: The Classroom Store, circulate and ask each group to explain aloud which price they are using as the base before they calculate.

What to look for

Provide students with a scenario: 'A store buys a T-shirt for $10 and marks it up by 75%. Later, they put it on a 20% markdown sale.' Ask students to calculate: 1. The selling price after markup. 2. The sale price after the markdown. 3. The final profit.

• Apply
• Analyze
• Evaluate
• Create
• Social Awareness
• Decision-Making

Activity 02

• Think-Pair-Share
• 20 min · Pairs

Think-Pair-Share: Markup or Markdown , Which Base?

Show four pricing problems, two involving markup (calculated from cost) and two involving markdown (calculated from retail price). Students individually identify the base for each calculation, then pair to compare reasoning. The class discussion focuses on why the choice of base matters and how confusing the two leads to pricing errors.

Analyze how a store determines the selling price of an item after markup.

Facilitation Tip

During Think-Pair-Share: Markup or Markdown, Which Base?, pause after the pair discussion to have each pair share one key sentence that identifies the base in their scenario.

What to look for

Present students with two problems: A) An item costs $50 and is marked up by 30%. What is the selling price? B) An item sells for $80 after a 20% markdown. What was the original selling price? Have students show their work and identify which base amount was used for each calculation.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 03

• Case Study Analysis
• 25 min · Pairs

Error Analysis: The Pricing Mistake

Present a scenario where a store clerk calculated a 30% markup using the retail price as the base instead of the cost. Students find the error, calculate the correct selling price, and determine how much profit was lost due to the mistake. They then write a one-sentence rule to help remember which base to use for markup.

Evaluate the impact of a markdown on a product's original price.

Facilitation Tip

During Error Analysis: The Pricing Mistake, ask students to rewrite the incorrect calculation on the board using the correct base and percentage.

What to look for

Pose the question: 'If a store marks an item up by 50% and then marks it down by 50%, is the final price the same as the original cost? Why or why not?' Facilitate a class discussion where students use specific examples to justify their reasoning.

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management

Activity 04

• Gallery Walk
• 30 min · Small Groups

Gallery Walk: Price Tags

Post eight product cards around the room, each showing a cost and either a markup percentage or a markdown scenario. Students calculate the final selling price for each and write a sentence interpreting what the percent means in context , for example, confirming whether a sale price still generates a profit above cost.

Differentiate between markup and markdown in pricing strategies.

Facilitation Tip

During Gallery Walk: Price Tags, require students to leave a sticky note on each poster that states whether the tag shows a markup or markdown and what the base was.

What to look for

Provide students with a scenario: 'A store buys a T-shirt for $10 and marks it up by 75%. Later, they put it on a 20% markdown sale.' Ask students to calculate: 1. The selling price after markup. 2. The sale price after the markdown. 3. The final profit.

• Understand
• Apply
• Analyze
• Create
• Relationship Skills
• Social Awareness

A few notes on teaching this unit

Teachers should emphasize the difference between the two bases from the start by labeling every price with its source: cost, markup selling price, or markdown sale price. Avoid teaching markup and markdown as isolated procedures; instead, connect them to real retail decisions so students see why choosing the correct base matters for profit. Research suggests using visual models like percent bars to separate the base from the added or subtracted portion, which reduces confusion between percent of and percent on top of.

Successful learning looks like students correctly identifying the base for each percentage, applying markup and markdown to the proper starting value, and explaining their reasoning using clear labels and calculations. Students should also recognize when a markdown results in a loss and compare that to the original markup.

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Watch Out for These Misconceptions

• During Simulation: The Classroom Store, watch for students who treat the 40% markup as a discount from the cost price rather than an addition.

  Have students use a percent bar model on their worksheet to shade 100% of the cost and then clearly add 40% on top, labeling each section with its dollar value before they calculate the selling price.

• During Gallery Walk: Price Tags, watch for students who assume a 50% markdown brings the price back to the original cost.

  Ask students to calculate the cost from the retail price using the markup percentage shown on the tag, then verify whether the markdown price matches that cost or falls below it.

• During Think-Pair-Share: Markup or Markdown, Which Base?, watch for students who use the same base for both markup and markdown in the same scenario.

  Require each pair to write the base explicitly next to their percentage before solving, and have them justify their choice to another pair during the share phase.

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Methods used in this brief

• Simulation Game
• Think-Pair-Share
• Case Study Analysis
• Gallery Walk