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Ratio Road Trip!

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Lesson Plan

Ratio Road Trip

Students will be able to define ratios, identify different ways to express ratios, and apply ratio concepts to solve simple real-world problems.

Understanding ratios is crucial for everyday life, from cooking and shopping to understanding maps and statistics. This lesson builds a foundational skill for future math concepts.

Audience

7th Grade Students

Time

30 minutes

Approach

Interactive slides, guided practice, and independent application.

Materials

Our Ratio Road Trip Slide Deck, Ratio Race Worksheet, Ratio Race Answer Key, Ratio Warm-Up, and Ratio Cool-Down

Prep

Teacher Preparation

15 minutes

Step 1

Warm-Up: Ratio Riddle

5 minutes

  • Display the Ratio Warm-Up.
    - Ask students to silently consider the question and write down their thoughts.
    - Briefly discuss student responses, introducing the idea of comparison.

Step 2

Introduction to Ratios

10 minutes

  • Present the Ratio Road Trip Slide Deck (Slides 1-3).
    - Define what a ratio is and explain its purpose (comparing two quantities).
    - Introduce the three ways to write a ratio (colon, 'to', fraction).
    - Provide clear examples and check for understanding with quick questions.

Step 3

Ratio in Action: Guided Practice

8 minutes

  • Continue with the Ratio Road Trip Slide Deck (Slides 4-6).
    - Work through guided practice problems together as a class, encouraging student participation.
    - Emphasize identifying the quantities being compared and expressing them as ratios.

Step 4

Independent Practice: Ratio Race

5 minutes

  • Distribute the Ratio Race Worksheet.
    - Instruct students to complete the problems independently.
    - Circulate to provide support and answer questions. (Note: Remaining problems can be homework if not completed in class.)

Step 5

Cool-Down: One-Minute Ratio Reflection

2 minutes

  • Display the Ratio Cool-Down.
    - Ask students to reflect on one new thing they learned or one question they still have about ratios.
    - Collect responses as an exit ticket.
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Slide Deck

Welcome to the Ratio Road Trip!

Today, we're going on an exciting journey to understand how we compare different things using ratios!

Welcome students and introduce the concept of comparing things. Ask them to think about how they compare quantities in their daily lives.

What's a Ratio Anyway?

A ratio is a way to compare two quantities.

  • How many boys to girls in our class?
  • How many wheels on a bicycle compared to wheels on a tricycle?
  • How many sunny days to cloudy days this week?

Define what a ratio is. Emphasize that it's a comparison of two quantities. Provide simple, relatable examples (e.g., students to teachers, red to blue marbles).

How Do We Write Ratios?

There are three main ways to write a ratio:

  1. Using the word "to": 3 to 5
  2. Using a colon: 3 : 5
  3. As a fraction: 3/5

No matter how you write it, it means the same thing: for every 3 of the first quantity, there are 5 of the second quantity.

Explain the three main ways to write ratios. Show examples for each format using the same comparison to ensure clarity.

Practice Time: Write the Ratios!

Let's practice writing some ratios together.

  • In a fruit basket, there are 4 apples and 7 bananas.
    • Ratio of apples to bananas:


  • A classroom has 15 students and 1 teacher.
    • Ratio of students to teachers:


  • On a pizza, there are 8 slices with pepperoni and 4 slices with just cheese.
    • Ratio of pepperoni slices to cheese slices:


Guided practice slide. Ask students to volunteer answers and explain their reasoning. Correct misunderstandings as they arise.

More Practice! Don't Get Tricked!

Remember, the order matters!

  • There are 6 red cars and 10 blue cars in the parking lot.
    • Ratio of blue cars to red cars:


  • A recipe calls for 2 cups of sugar and 3 cups of flour.
    • Ratio of flour to sugar:


Another guided practice slide. Encourage students to think about the order of quantities in the ratio.

Real-World Ratios

Imagine a class where 12 students prefer dogs and 8 students prefer cats.

  • What is the ratio of students who prefer dogs to students who prefer cats?



  • What is the ratio of students who prefer cats to total students?



Final guided practice. Introduce a slightly more complex scenario.

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Warm Up

Ratio Warm-Up: Comparing Our World

Think about it: What does it mean to

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Worksheet

Ratio Race: Show What You Know!

Directions: Read each scenario carefully and write the ratios in three different ways (using 'to', a colon, and a fraction).

  1. Fruit Bowl Fun: In a fruit bowl, there are 3 apples and 5 oranges.

    • Ratio of apples to oranges:


    • Ratio of oranges to apples:


  2. Pet Paradise: A pet store has 7 puppies and 4 kittens.

    • Ratio of puppies to kittens:


    • Ratio of kittens to puppies:


  3. Classroom Colors: In a box of crayons, there are 10 red crayons and 6 blue crayons.

    • Ratio of red crayons to blue crayons:


    • Ratio of blue crayons to red crayons:


  4. Game Day: A soccer team won 5 games and lost 3 games.

    • Ratio of wins to losses:


    • Ratio of losses to total games played:


  5. Baking Time: A recipe calls for 2 cups of sugar and 6 cups of flour.

    • Ratio of sugar to flour:


    • Ratio of flour to total ingredients (sugar + flour):


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Answer Key

Ratio Race Answer Key

Directions: Review the answers and reasoning below for each ratio problem.

  1. Fruit Bowl Fun: In a fruit bowl, there are 3 apples and 5 oranges.

    • Ratio of apples to oranges:
      • 3 to 5
      • 3 : 5
      • 3/5
    • Ratio of oranges to apples:
      • 5 to 3
      • 5 : 3
      • 5/3

  2. Pet Paradise: A pet store has 7 puppies and 4 kittens.

    • Ratio of puppies to kittens:
      • 7 to 4
      • 7 : 4
      • 7/4
    • Ratio of kittens to puppies:
      • 4 to 7
      • 4 : 7
      • 4/7

  3. Classroom Colors: In a box of crayons, there are 10 red crayons and 6 blue crayons.

    • Ratio of red crayons to blue crayons:
      • 10 to 6
      • 10 : 6
      • 10/6
    • Ratio of blue crayons to red crayons:
      • 6 to 10
      • 6 : 10
      • 6/10

  4. Game Day: A soccer team won 5 games and lost 3 games.

    • Ratio of wins to losses:
      • 5 to 3
      • 5 : 3
      • 5/3
    • Ratio of losses to total games played: (Total games = 5 wins + 3 losses = 8 games)
      • 3 to 8
      • 3 : 8
      • 3/8

  5. Baking Time: A recipe calls for 2 cups of sugar and 6 cups of flour.

    • Ratio of sugar to flour:
      • 2 to 6
      • 2 : 6
      • 2/6
    • Ratio of flour to total ingredients (sugar + flour): (Total ingredients = 2 cups sugar + 6 cups flour = 8 cups)
      • 6 to 8
      • 6 : 8
      • 6/8
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Cool Down

Ratio Cool-Down: Reflect and Connect

Take a moment to reflect:

  1. What is one new thing you learned about ratios today?


  2. What is one question you still have about ratios?


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