Lesson Notes By Weeks and Term v3 - Primary 4
Fraction
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Fraction
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Subject: General Mathematics
Class: Primary 4
Term: 2nd Term
Week: 2
Theme: Numbers And Numeration
This page supports the lesson note with a companion video and a short classroom-ready summary.
For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.
A fraction represents a part of a whole or a collection.
It consists of two main parts: Numerator: The top number, which indicates how many parts are being considered.
Denominator: The bottom number, which indicates the total number of equal parts the whole is divided into.
Example: In the fraction $\frac{3}{4}$, 3 is the numerator (3 parts considered) and 4 is the denominator (the whole is divided into 4 equal parts).
Materials: Fraction strips/circles, paper, pencils, real-life objects (orange, loaf of bread, kola nuts), chart paper.
A. Teacher Activities:
1. Introduction & Review: Begin by reviewing the concept of sharing objects into equal parts. Ask students how they share items at home (e.g., a loaf of bread, a melon). Introduce the term "fraction" as a way to represent these parts. Use a real object (e.g., an orange or paper circle) to demonstrate a whole, then half, quarter, etc.
2. Differentiating Proper and Improper Fractions: Draw diagrams on the board (e.g., dividing a circle into 4 parts, shading 3 for $\frac{3}{4}$). Explain that the shaded part is less than the whole – a proper fraction. Draw multiple wholes (e.g., 2 full circles and a quarter of another for $\frac{9}{4}$). Explain that the shaded part is more than one whole – an improper fraction. Provide numerous examples and ask students to identify the type.
3. Converting Improper Fractions to Mixed Numbers (and vice versa): Improper to Mixed: Use diagrams to show how groups of denominators form a whole. For $\frac{7}{3}$, draw 3 circles divided into 3 parts each. Shade 7 parts. Show how this forms 2 whole circles and $\frac{1}{3}$ of another. Then, demonstrate the division method step-by-step on the board using the examples explained in Key Concepts.
Mixed to Improper: Start with a mixed number like $2\frac{1}{3}$. Explain that the '2' represents two wholes, and each whole has 3 parts (denominator). So $2 \times 3 = 6$ parts, plus the 1 part from the fraction, total 7 parts, hence $\frac{7}{3}$. Demonstrate the multiplication and addition method step-by-step on the board.
4. Applying Fractions in Sharing: Pose real-life scenarios: "A family bought a basket of 10 mangoes. If each child gets $\frac{1}{5}$ of the mangoes, how many does each child get?" Guide students to calculate. Use examples of sharing food items like "garri" or "tuwo" (local dishes) in parts.
5. Decimal Fractions up to Hundredths: Introduce decimal numbers as another way to write fractions with denominators of 10 or
1
0
0. Draw a place value chart (Hundreds, Tens, Ones . Tenths, Hundredths). Explain how $\frac{1}{10}$ is $0.1$ (one place after the decimal point for tenths). Explain how $\frac{1}{100}$ is $0.01$ (two places after the decimal point for hundredths). Show how to write fractions like $\frac{3}{10}$, $\frac{45}{100}$, $\frac{7}{100}$ as decimals. Relate to Nigerian currency (Naira and Kobo: N1.50).
6. Obtaining Equivalent Fractions: Use fraction strips or paper folding to demonstrate that $\frac{1}{2}$ covers the same length as $\frac{2}{4}$ or $\frac{3}{6}$.
Explain the rule: multiply/divide numerator and denominator by the same number. Work through examples on the board.
7. Ordering Pairs of Fractions: Begin with simple cases: same denominator, then same numerator. Introduce the method of finding a common denominator for fractions with different numerators and denominators. Model comparison using '' symbols.
8. Quantitative Reasoning: Present a quantitative reasoning problem involving fractions. Model how to break down the problem and apply the fraction concepts.
B. Student Activities:
1. Identification and Classification: Students classify given fractions into proper and improper. Students identify numerators and denominators.
2. Conversion Practice: Students practice converting improper fractions to mixed numbers and vice versa, first using visual aids (drawing, fraction circles/strips) and then using the arithmetic method. Engage in group work for conversion problems.
3. Sharing Scenarios: Students work in pairs to solve word problems involving sharing commodities in fractional parts (e.g., dividing a hypothetical cake or pack of biscuits). Role-play market scenarios where fractions are used (e.g., buying $\frac{1}{2}$ kg of pepper).
4. Decimal Representation: Students write given fractions (with denominators 10 or 100) as decimal fractions. Students practice reading decimal numbers.
5. Equivalent Fractions: Students use fraction strips or draw diagrams to find equivalent fractions. Students generate equivalent fractions by multiplying/dividing the numerator and denominator.
6. Ordering Fractions: Students compare and order pairs of fractions, writing them with the correct symbol. Students explain their reasoning for ordering fractions.
7. Problem Solving: Students attempt quantitative market scenarios where fractions are used (e.g., buying $\frac{1}{2}$ kg of pepper).
4. Decimal Representation: Students write given fractions (with denominators 10 or 100) as decimal fractions. Students practice reading decimal numbers.
5. Equivalent Fractions: Students use fraction strips or draw diagrams to find equivalent fractions. Students generate equivalent fractions by multiplying/dividing the numerator and denominator.
6. Ordering Fractions: Students compare and order pairs of fractions, writing them with the correct symbol. Students explain their reasoning for ordering fractions.
7. Problem Solving: * Students attempt quantitative reasoning problems involving fractions individually or in small groups. The teacher should guide students through these problems, offering hints and explanations as needed.
Question: Classify the following fractions as Proper, Improper, or Mixed: $\frac{5}{7}$, $2\frac{1}{4}$, $\frac{9}{2}$, $\frac{1}{10}$, $\frac{8}{8}$.
Solution: $\frac{5}{7}$: Proper fraction (numerator denominator) $\frac{1}{10}$: Proper fraction (numerator ' or ' \frac{1}{3}$ (Same numerator, compare denominators: 2 ) to compare: a) $\frac{4}{9} \underline{\hspace{1cm}} \frac{2}{9}$ b) $\frac{5}{6} \underline{\hspace{1cm}} \frac{5}{8}$ c) $\frac{1}{4} \underline{\hspace{1cm}} \frac{2}{7}$ A group of friends shared a packet of 24 biscuits. If Ade took $\frac{1}{4}$ of the biscuits and Chima took $\frac{1}{3}$ of the remaining biscuits, how many biscuits did Chima take? Which of these fractions is NOT equivalent to $\frac{2}{3}$: $\frac{4}{6}$, $\frac{6}{9}$, $\frac{8}{10}$, $\frac{10}{15}$? A dress requires $3\frac{1}{4}$ metres of fabric. Express this amount as an improper fraction. A bottle contains 750ml of water. If a child drinks $\frac{2}{5}$ of the water, how much water (in ml) is left in the bottle?
A. Differentiation (for diverse learners): Visual Aids: Continuously use fraction strips, fraction circles, and real-life objects for all learners, especially those who are visual or kinesthetic learners.
Pair Work/Group Work: Encourage students to work in pairs or small groups where more capable students can assist their peers.
Chunking: Break down complex tasks (e.g., ordering fractions with different denominators) into smaller, manageable steps.
B. Remediation (for struggling learners): Concrete Manipulatives: Provide struggling learners with extra time and hands-on practice using concrete fraction manipulatives (fraction circles, blocks, paper cut-outs) to physically represent fractions, proper/improper types, and equivalent fractions.
Simplified Tasks: Assign simplified worksheets focusing on one concept at a time (e.g., only identifying proper fractions, then only converting improper to mixed with small numbers).
One-on-One Support: Provide targeted instruction to address specific areas of difficulty. For example, if a student struggles with converting improper fractions, review the division process specifically.
Repetition with Diagrams: Focus on drawing diagrams to represent fractions before attempting numerical calculations. For conversions, have them draw out the whole and parts.
C. Extension (for high-achieving learners): Challenging Word Problems: Introduce multi-step word problems involving fractions, requiring critical thinking and combination of operations (e.g., "If $2\frac{1}{2}$ litres of paint covers $\frac{1}{3}$ of a wall, how much paint is needed for the whole wall?").
Fractions in Recipes/Proportions: Have them research a simple Nigerian recipe and identify how fractions are used in ingredients. They could then try to scale the recipe up or down by a fractional amount.
Decimal Fractions beyond Hundredths: Introduce thousandths (e.g., 0.125 for $\frac{1}{8}$) and discuss their relevance in contexts like scientific measurements or money in higher denominations.
Fraction Puzzles/Games: Engage them with fraction-based puzzles or competitive games that involve identifying, comparing, or operating with fractions.
Sharing Food and Resources (Home/Community): Application: Dividing a loaf of bread, a pizza, a cake, or a quantity of rice among family members or friends. Children learn that if they share a cake among 4 people, each gets $\frac{1}{4}$. If they have three cakes and each person gets $\frac{3}{4}$ of a cake, they can relate this to $3 \times \frac{3}{4} = \frac{9}{4} = 2\frac{1}{4}$ cakes, highlighting the concept of proper/improper fractions and mixed numbers.
Context: In many Nigerian homes, large food items are often shared fractionally, e.g., a tuber of yam, a fish, or even a piece of kola nut during traditional ceremonies.
Market Transactions and Measurements: Application: When buying goods, people often request fractional amounts. For example, buying $\frac{1}{2}$ kg of garri, $\frac{1}{4}$ of a basket of tomatoes, or 0.5 metres of fabric. Decimals are used extensively in pricing (e.g., N100.50).
Context: Nigerian markets are dynamic environments where fractions are implicitly used for quantities of perishable goods, fabrics, and dry goods. Understanding decimals is crucial for handling currency (Naira and Kobo).
Time and Scheduling: Application: Understanding time in fractions, e.g., half an hour ($\frac{1}{2}$ hour), quarter past ($\frac{1}{4}$ of an hour), or three-quarters of an hour ($\frac{3}{4}$ of an hour).
Context: This helps students to conceptualize daily schedules, duration of activities, and travel times within their local communities.