Percentage ( Lesson 3)

 FOCUS QUESTION

How can I represent shared portions?

SPECIFIC OBJS.

1. Tell what percentage of a set of object is shown.

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

3. Recognize that 100 % is a whole.

4. Express one number as  a percentage of another that is a multiple of 10

CONTENT SUMMARY

Video clip - Lattice method of multiplying

ENGAGE

Review past lesson on percentage by way of a race car competition.

What does percent mean?

How do we find percentages of quantities?

How do we find the percentages of fractions?

EXPLORE

Today we will be expressing one number as a percentage of the other.

You must have done a lot of tests in your lifetime. How do you find percentage score of test you have gotten which were marked out of  certain points? I'm sure you would have found out different ways. Let us examine some of he ways.

EXPLAIN: Explain what is meant by percentage.

Explain the steps involved in finding what percentage  a number is of another number.

EXTEND/ELABORATE

Complete the activities on the teacher's blogsite.

EVALUATE

1. What percentage of the diagram below is coloured red?

2. What percentage of 60 is 10?

FOLLOW UP PRACTICE ECERCISES

Activity 1

ACTIVITY 2

ACTIVITY 3

ACTIVITY 4

ACTIVITY 5

ACTIVITY 6

ACTIVITY 7

ACTIVITY 8

Grade 6 – Mathematics Lesson Plan (5E Model)

Topic: Percentage
Focus Question: How can I represent shared portions?
Duration: 1 hour
Objectives:
By the end of the lesson, students should be able to:

1. Review what percentage is.

2. Recognize that 100% is a whole.

3. Express one number as a percentage of another when the second number is a multiple of 10.

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Materials Needed:

• Counters (beans, bottle caps, LEGO blocks)

• Chart paper & markers

• Pie chart or bar chart templates

• Fraction-to-percentage conversion chart

• Calculators (optional)

• chromebooks, teacher's blogsite

• projector

1. ENGAGE (5 minutes)

Activity:

• Present a scenario: "A pizza is cut into 10 slices. If you ate 3 slices, how can we describe this as a fraction, decimal, and percentage?"

• Show a real pizza image (or use an actual pizza or paper cut-out circles).

• Ask:

  • "What does 100% represent in this pizza?"

  • "If you eat half, what percentage is that?"

• Connect their answers to the idea that percentage is a way to represent parts of a whole, with 100% meaning the entire thing.

STEM link:

• Discuss how percentages are used in packaging labels to show nutrient content (e.g., 20% protein).

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2. EXPLORE (10 minutes)

Activity:

• Give students 3 quick hands-on tasks using objects (beans, bottle caps, LEGO blocks, or counters).

• Each group gets 10, 20, and 30 counters and must find:

  1. What is 50% of their set?

  2. What is 20% of their set?

  3. What is 70% of their set?

• Students record results in a table.

Differentiation:

• Tier 1 (Support): Provide visual fraction-percentage charts.

• Tier 2 (Core): Allow students to calculate using multiplication/division by 10.

• Tier 3 (Challenge): Ask them to also represent results as fractions and decimals.

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3. EXPLAIN (15 minutes)

Concept Teaching Points:

• Definition: Percentage means "per hundred" (symbol %).

• 100% = a whole: Connect to real-life examples (full tank of gas, total score in a game).

• Finding a percentage when total is a multiple of 10:

  • Example: Find 30% of 50

    • Step 1: Find 10% of 50 → $50 ÷ 10 = 5$

    • Step 2: Multiply by 3 → $5 × 3 = 15$

    • Therefore, 30% of 50 = 15.

Visual Aids:

• Use a pie chart and bar model to show the same percentage visually.

• Write several examples on the board and solve with the class.

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4. ELABORATE (15 minutes)

STEM Integrated Project:

• Scenario: "A recycling club collected plastic bottles. Group A collected 40 bottles, Group B collected 60 bottles. Represent each group’s contribution as a percentage of the total."

• Students work in pairs to:

  1. Add totals.

  2. Find each group's percentage contribution.

  3. Present results as fraction, decimal, and percentage.

• Extension (Challenge): Create a pie chart showing the data.

Differentiation in Elaboration:

• Tier 1: Teacher works closely with them using smaller numbers.

• Tier 2: Independent work with standard numbers.

• Tier 3: Larger numbers and graphical representation.

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5. EVALUATE (15 minutes)

Three-Tier Evaluation

Tier 1 – Basic (Recall)

1. What is 100% of 30?

2. What is 50% of 20?

3. Write 25% as a fraction.

Tier 2 – Core (Application)

1. Find 40% of 50.

2. If you have 70 marbles and give away 35, what percentage is given away?

3. Express 6 as a percentage of 30.

Tier 3 – Extended (Reasoning & Representation)

1. In a class of 40 students, 28 have completed their homework. What percentage have completed it? Represent your answer as a fraction, decimal, and percentage.

2. A shop has a “20% off” sale. If a jacket costs $5,000, how much is the discount and the new price?

Assessment Tools:

• Observation checklist during group work.

• Peer marking for quick tasks.

• Teacher review of final answers and charts.

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