Topic: Representing shared portions (Ratio and Percentage. (Lesson 4)

 FOCUS QUESTION

How can I represent shared portions?

SPECIFIC OBJS.

1. Apply the concept of ratio to percentage forms and use the symbol % correctly

2. Solve problems requiring the conversion of fractions to percentages and vice versa.

CONTENT SUMMARY

ENGAGE

What do you remember about percentage?

What is the symbol that represents percent? make it in the air.

Now ratios can be written as percentages and vice-versa.

First you have to write the given ratio as a fraction.

Examine the example below.

EXPLORE

How did I arrive at 25?

Look at another method.

Let's listen to this video clip on ratios to percentages.

Video Clop: Converting ratios to percentages.

Now you can also convert a percentage to a ratio. 

Eg. Write 20% as a ratio.

Step 1: Write the given percentage as a fraction

               20/100

Step 2 : Simplify the fraction where possible

              20/100 = 1/5

Step 3: Write the simplified fraction as a ratio in the form below.

             1:5

You can watch the video clip below for further clarity.

Video clip: Percentages to ratios

EXPLAIN

Now try these two problems and be ready to explain your steps.

(1) Write the ratio 4: 5 as a percentage

(2) Write 65% as a ratio

EXTEND/ELABORATE

Choose a partner and complete any three of the following,

EVALUATE 

FOLLOW UP PRACTICE EXERCISE

ACTIVITY 1

ACTIVITY 2

ACTIVITY 3

ACTIVITY 4

ACTIVITY 5

ACTIVITY 6

ACTIVITY 7

ACTIVITY 8

Activity 9

Activity 10

Activity 11

🧮 Grade 6 Mathematics Lesson Plan

📘Topic: Representing Shared Portions – Ratio and Percentage

⏰Duration: 1 Hour

🎯Focus Question: “How can I represent shared portions?”

🎓Objectives:

1. Apply the concept of ratio to percentage forms and use the symbol % correctly.

2. Solve problems requiring the conversion of fractions to percentages and vice versa.

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🔍 5E Model Lesson Plan

1. Engage (10 minutes)

Activity: “Let’s Share a Chocolate Bar”

• Show students a chocolate bar divided into 10 pieces using a real object or image.

• Ask:

  "If you and your friend share 3 out of 10 pieces, how much did you get in terms of a fraction? A ratio? Can you guess the percentage?"

• Record and discuss responses.

• Connect this to the idea of expressing shared portions in different ways (fraction, ratio, percent).

🌟 STEM Integration: Use digital polling (Mentimeter or Google Form) to collect and display responses live as percentages and fractions.

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2. Explore (15 minutes)

Hands-On Group Activity: “Fraction–Ratio–Percentage Match-Up”

• Students are placed in mixed-ability groups of 3–4.

• Each group receives a set of cards with:

  • Fractions (e.g., 1/2, 1/4, 3/5)

  • Ratios (e.g., 1:2, 3:5)

  • Percentages (e.g., 50%, 25%, 60%)

• Task: Match each fraction with its equivalent ratio and percentage.

• Discuss patterns (e.g., "A ratio of 1:4 means 1 part out of 5, so what percent is that?").

🧩 Differentiation:

• Provide scaffolded hints for struggling students (e.g., fraction bars or conversion charts).

• Challenge early finishers to create their own set of match-up cards for peers.

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3. Explain (10 minutes)

Mini-Lesson: Converting Forms

• Model with board visuals:

  • How to convert fraction → percent
    (e.g., $\frac{3}{4} = \frac{3}{4} \times 100 = 75\%$)

  • Percent → fraction
    (e.g., $40\% = \frac{40}{100} = \frac{2}{5}$)

  • Ratio → percent
    (e.g., $1:4 = \frac{1}{5} = 20\%$)

• Emphasize correct use of the % symbol.

📘Students take notes and work through 2 examples together.

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4. Elaborate (15 minutes)

STEM Challenge: “Data Detectives”

• Students collect real-world data from a mock STEM survey (e.g., Favorite Juice Flavors: Apple – 6, Orange – 3, Pineapple – 1).

• Convert the results into:

  • Fractions (e.g., 6/10)

  • Ratios (e.g., 6:10 or simplified)

  • Percentages (e.g., 60%)

• Share group findings and reflect:

  “How does representing shared portions in different forms help us interpret data clearly?”

📊 STEM Integration: Represent survey results using a simple bar graph or pie chart in Excel or Google Sheets.

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5. Evaluate (10 minutes)

Three-Tier Differentiated Assessment Task

Tier	Task Description
Tier 1 (Support)	Match the following: ½ → 50%, 25% → ¼, etc. (Simple match-up worksheet with visuals)
Tier 2 (Core)	Convert the following: a) ¾ to % b) 40% to a fraction c) 2:5 to a %
Tier 3 (Challenge)	Word Problem: “A class of 25 students has 10 girls. What percentage of the class are girls? Express as a fraction, a ratio, and a percentage.”

✅ Collect and review student work to determine mastery and misconceptions.

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✨ Closure (Quick Wrap-Up) – 5 Minutes

• Revisit the focus question:

  “How can I represent shared portions?”

• Students respond using all three forms: fraction, ratio, percentage.

• Homework (optional): Convert 5 real-life scenarios (e.g., sports wins/losses, meals eaten) into fraction, ratio, and percentage.