B6 Mathematics: Comprehensive Lessons on Comparing and Ordering Fractions, Decimals, and Percentages

Class: B6
Week Ending: 8/05/2026
Duration: 60 minutes per lesson
Subject: Mathematics
Strand: Number
Sub Strand: Fractions
Content Standard ( $B6.1.3.1$ ): Demonstrate an understanding of strategies for comparing, adding, subtracting, multiplying and dividing common, decimal and percent fractions.
Indicator ( $B6.1.3.1.1$ ): Compare and order a mixture of fractions: common, percent and decimal fractions (up to thousandths).
Performance Indicator: By the end of the lesson, learners should be able to compare and order a mixture of fractions, percentages, and decimal fractions up to thousandths.
Core Competencies: * Problem Solving skills * Critical Thinking * Justification of Ideas
Teaching and Learning Resources: * Place Value chart * Bundle of sticks * Bottle tops * Counters
References: Mathematics Curriculum Page 131
Keywords: Fractions, Percent, Decimal, Order, Compare

Date: 4-5-26
Time: 7:30–8:30
Phase 1: Starter * Show learners a simple number line featuring combined data points: $\frac{1}{2}$ , $0.5$ , and $50\%$ . * Request that learners identify specific similarities and differences between these representations.
Phase 2: Main Lesson Activities * Opening Prompt: "What do you know about fractions, percentages, and decimals?" All learner responses are documented on the board. * Conceptual Discussion: Explain the specific differences between fractions, decimals, and percentages. * Key Comparative Examples provided: * $\frac{1}{2} = 0.5 = 50\%$ * $\frac{1}{4} = 0.25 = 25\%$ * Visualization Exercise: Learners draw a number line and label fractions, decimals, and percentages up to the value of $1$ . This aids in understanding the spatial relationship between format types.
Phase 3: Reflection * Task: Compare and order the following: $\frac{3}{4}$ , $0.85$ , $70\%$ . * Official Answer: 70\% < 0.85 < \frac{3}{4}.

Date:-3-26 [Note: This date follows Monday in the sequence]
Time: 7:30–8:30
Phase 1: Starter * Present a simple decimal number: $0.75$ . * Inquiry: "What is the equivalent of this as a fraction and a percentage?"
Phase 2: Main Lesson Activities * Listing Exercise: Learners list decimal fractions existing between $0$ and $1$ . * Procedural Discussion: Demonstrating how to convert decimals to fractions and percentages. * Conversion Demo: $0.25 = \frac{1}{4} = 25\%$ . * Set Practice: Learners are given the decimals $0.125$ , $0.75$ , and $0.2$ and asked to convert them to both fractions and percentages.
Phase 3: Reflection * Task: Convert the following decimal fractions into percentages and fractions: $0.2$ , $0.55$ , and $0.85$ . * Official Answer: * $0.2 = 20\% = \frac{2}{10}$ (or $\frac{1}{5}$ ) * $0.55 = 55\% = \frac{55}{100}$ * $0.85 = 85\% = \frac{85}{100}$

Phase 1: Starter * Display a chart displaying various percentages: $50\%$ , $25\%$ , and $75\%$ . * Inquiry: "What do you know about percentages?"
Phase 2: Main Lesson Activities * Real-World Contextualization: Discuss everyday examples of percentages, such as retail discounts and academic test scores. * Conversion Methodology: Explain how to convert percentages to decimals and then to fractions. * Conversion Demo: $50\% = 0.5 = \frac{1}{2}$ . * Practice Set: Provide learners with $30\%$ , $60\%$ , and $90\%$ to convert into decimals and fractions.
Phase 3: Reflection * Task: Convert the following percentages into decimals and fractions: $40\%$ , $70\%$ , and $10\%$ . * Official Answer: * $40\% = 0.4 = \frac{2}{5}$ * $70\% = 0.7 = \frac{7}{10}$ * $10\% = 0.1 = \frac{1}{10}$

Date: 7/5/26
Time: 12:45–1:45
Phase 1: Starter * Provide learners with a set of mixed numbers (fractions, decimals, and percentages). * Task: Arrange the set in order from smallest to largest.
Phase 2: Main Lesson Activities * Central Inquiry: "How can we compare fractions, decimals, and percentages?" * Methodological Explanation: Detail strategies for comparison, specifically the technique of converting all numbers to a single format (most commonly decimals) for uniformity. * Applied Exercise: Learners are given the set $\frac{1}{3}$ , $75\%$ , and $0.8$ and instructed to compare and order them from smallest to largest.
Phase 3: Reflection * Task: Order the following from smallest to largest: $0.25$ , $50\%$ , $\frac{1}{2}$ . * Official Answer: 0.25 < 50\% < \frac{1}{2}.

Date: 8/5/26
Time: 8:30–9:30
Phase 1: Starter * Speed Drill: Display $0.6$ , $\frac{2}{3}$ , and $80\%$ on the board and have learners sort them into the correct order quickly.
Phase 2: Main Lesson Activities * Group Discussion: Review the various strategies learned throughout the week for comparing and ordering rational numbers. * Procedural Summary: Outline the key steps for comparison: 1. Convert all numbers to one consistent format (fraction, decimal, or percentage). 2. Compare the uniform values. * Peer Collaboration: Learners work in pairs or small groups to create their own mixed sets of numbers for their classmates to solve and order.
Phase 3: Reflection * Critical Reflection Task: Reflect on how comparing and ordering these different formats helps in real-life situations. * Written Exercise: Write a short paragraph describing a specific example where these comparative skills are useful.

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