Unit Rates Mastery

Grade: 6th

Duration: 60 minutes

Class Size: 25 students

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Common Core State Standards (CCSS) Alignment

CCSS.MATH.CONTENT.6.RP.A.2

• Understand the concept of a unit rate associated with a ratio. For example, if a person walks 3 miles in 2 hours, they walk 1.5 miles per hour.
• Use unit rates to solve problems, such as pricing, speed, and other real-world scenarios.

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Learning Objectives

• I can calculate unit rates from various real-world and mathematical data.
• I can interpret the meaning of unit rates in context.

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Success Criteria

Students will be successful when they:

• Identify what a unit rate is from a ratio or rate.
• Correctly compute unit rates from given sets of data (e.g., miles per hour, price per item).
• Explain the significance of the unit rate in context.
• Demonstrate their understanding through problem-solving activities.

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Dyslexia-Friendly Supports

• Use a sans-serif font (e.g., Arial) for all written material.
• Incorporate colored overlays or background colors (light yellow or light blue) on printed worksheets to ease reading.
• Break down instructions into clear, numbered steps.
• Use icons or visuals beside instructions to help comprehension.
• Provide colored highlighting for key vocabulary (e.g., Unit Rate, Ratio, per).
• Allow oral reading or use text-to-speech technology during the lesson as needed.

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Materials Needed

• Whiteboard and markers
• Student notebooks
• Printed worksheets with unit rate problems (with clear fonts and colored shading)
• Calculators (optional, for verification only)
• Sticky notes and markers for student work
• Timer or clock for pacing activities

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Lesson Structure

1. Hook/Introduction (10 minutes)

• Begin with a relatable scenario: "Imagine buying snacks — you want to know the price of one cookie if a bag of 12 cookies costs $6."
• Explain: "The number we find to understand ‘per one item’ is called a unit rate."
• Write on the board: 12 cookies for $6 → How much per cookie?
• Show how to compute: $6 ÷ 12 = $0.50 per cookie.
• Emphasize the concept with key vocabulary in bold and color highlight: unit rate, ratio, per.
• Check understanding: Ask students to give examples where they might use unit rates in daily life.

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2. Mini Lesson: Calculating Unit Rates (15 minutes)

• Display 3-4 simple real-world examples on board using ratios (e.g., miles driven per hour, pages read per minute, cost of apples per pound).
• Demonstrate step-by-step solution with clear numbering (1. Identify total quantity, 2. Divide to find per 1 unit). Use visuals or icons (e.g., a car icon for miles/hour).
• Interactive: Have students verbalize 'I can…' statements aloud with you (e.g., "I can calculate how much one mile costs," "I can find the unit rate for pages per minute").
• Use think-pair-share: students try an example with a partner, explaining their thinking aloud.

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3. Guided Practice (15 minutes)

• Distribute dyslexia-friendly worksheets with 5 unit rate problems involving money, distance, and time. Problems are scaffolded: first with whole numbers, then decimals.
• Students work individually or in pairs to solve.
• Teacher circulates, checks for understanding, and provides immediate feedback.
• Keep prompts simple and stepwise on worksheets:
  1. What values are given?
  2. What unit are we finding ‘per one’?
  3. Perform the division to find the unit rate.
• Use “sticky note” exit slips for students to write down their unit rate and one sentence about what it means in the context.

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4. Independent Application: Real-World Challenge (15 minutes)

• Scenario-based group activity:
  Each group receives a menu from a fictional café with prices and serving sizes. They need to:
  a. Calculate unit price for at least three menu items.
  b. Decide which items give the best value.
  c. Prepare a 2–3 sentence explanation backing their decision using unit rate vocabulary.
• Groups present findings to the class using sentence starters provided on a poster:
  • “The unit rate for ____ is ___ per ___.”
  • “This means that…”
  • “Based on the unit rates, this is the best choice because…”
• Encourage use of visuals or simple charts on poster paper to support their conclusions.

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5. Wrap-up and Exit Ticket (5 minutes)

• Quick review: Ask 3-4 students to share one ‘I can’ statement about what they learned.
• Exit Ticket prompt on board:
  “Calculate the unit rate: A car travels 150 miles in 3 hours. What is the unit rate? Explain what it means.”
• Collect exit tickets, noting areas for reteach.

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Assessment

• Observation during guided practice and group work.
• Success in Exit Ticket problem showing the ability to compute and explain unit rates.
• Informal questioning throughout lesson to check comprehension against success criteria.

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Extensions and Differentiation

• For advanced learners: Challenge with problems involving compound rates or rates in fractions (e.g., 2/3 cup per 1/2 batch).
• For learners needing support: Use manipulatives or physical objects to model per one quantities before abstract calculation.
• Provide extra time and oral testing options for students with processing delays.

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This lesson design aims to build solid conceptual understanding and practical skills in unit rates, preparing students for mastery of ratios and proportional reasoning aligned with Common Core standards while supporting diverse learners effectively.