Fractions: halves and quarters – Week 4 focus
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Subject: Mathematics
Class: Grade 2
Term: 2nd Term
Week: 4
Theme: General lesson support
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Fractions are a part of everyday life. Understanding halves and quarters helps us share food fairly, divide time, and even understand simple recipes. Imagine sharing a vetkoek with your friend – that's fractions in action! Learning about fractions now builds a strong foundation for more complex math later on, helping you understand things like measurements, money, and even percentages. This week, we will focus specifically on halves and quarters. This is important because it provides a basic introduction to the concept of fractions, allowing children to understand division in concrete terms.
What is a Fraction? A fraction represents a part of a whole. The "whole" can be a single object (like a pizza) or a collection of objects (like a bag of oranges). A fraction tells us how many equal parts of that whole we are talking about.
Halves (1/2): A half (1/2) means dividing something into two equal parts. The number '1' (numerator) on top of the line tells us we are considering one of those parts. The number '2' (denominator) below the line tells us the whole is divided into two equal parts.
Example 1: Sharing a vetkoek. Imagine you have one vetkoek and you want to share it equally with your friend. You cut the vetkoek into two equal pieces. Each person gets one piece, which is one half (1/2) of the vetkoek.
Visual: Draw a circle to represent the vetkoek. Divide the circle into two equal parts. Shade one part. Label the shaded part "1/2".
Example 2: Half of a group of sweets. You have 6 sweets and you want to give half to your brother. What do you do? You divide the sweets into two equal groups. To do this you can share them one by one until all the sweets are gone. Each group will have 3 sweets. So, half of 6 sweets is 3 sweets.
Visual: Draw 6 sweets. Circle them in pairs to show the two equal groups. Count how many sweets are in each group.
Quarters (1/4): A quarter (1/4) means dividing something into four equal parts. The number '1' (numerator) tells us we are considering one of those parts. The number '4' (denominator) tells us the whole is divided into four equal parts.
Example 1: Sharing a round of bread. You have a round of bread (like what you'd use for a bunny chow). You want to share it equally between you and three friends. That's four people in total. You need to cut the bread into four equal pieces. Each piece is one quarter (1/4) of the round of bread.
Visual: Draw a circle to represent the bread. Divide the circle into four equal parts. Shade one part. Label the shaded part "1/4".
Example 2: Quarters of a collection of apples. You have 8 apples and you want to find one quarter of them. You need to divide the 8 apples into 4 equal groups. To do this you can share them one by one until all the apples are gone. Each group will have 2 apples. One quarter (1/4) of 8 apples is 2 apples.
Visual: Draw 8 apples. Group them into four equal groups using lines. Count how many apples are in each group. Important
Note: It's crucial that the parts are equal. If you cut something into parts that aren't the same size, those aren't halves or quarters. A learner might cut a paper into 2 pieces that are not equal – this needs to be emphasised to them. Guided Practice (With Solutions)
Question 1: Colour half (1/2) of the square below. ``` [ ] [ ] [ ] [ ] ``` Solution: Colour any two of the four squares. Since half of 4 is 2, colouring two squares represents 1/2. ``` [X] [X] [ ] [ ] ``` Explanation: The square is divided into 4 equal parts. Half of 4 is
2. Therefore, colouring any 2 squares represents 1/
2. Question 2: You have 4 biscuits. You want to give a quarter (1/4) of the biscuits to your friend. How many biscuits will you give to your friend?
Solution: You need to divide the 4 biscuits into 4 equal groups. This means each group will have 1 biscuit.
Therefore, a quarter (1/4) of 4 biscuits is 1 biscuit.
Explanation: We are looking for one quarter of the biscuits, which means we divide the total number of biscuits (4) by 4. 4 / 4 =
1. Question 3: Draw a rectangle. Divide it into four equal parts. Shade one quarter (1/4) of the rectangle.
Solution: Draw a rectangle. Draw three lines dividing the rectangle into four equal, vertical columns. Shade one of the columns.
Explanation: The rectangle is divided into four equal parts, and one part is shaded, representing one quarter (1/4).
Question 4: Thando has 10 marbles. He gives half of them to his sister. How many marbles does he give to his sister?
Solution: Divide the 10 marbles into two equal groups. 10 / 2 =
5. Thando gives 5 marbles to his sister.
Explanation: Half means dividing into two equal parts. So, we divide the total number of marbles (10) by
2. Independent Practice (Questions Only) Colour half (1/2) of the circle below. (Draw a circle divided by a line) You have 8 crayons. You give a quarter (1/4) of the crayons to your cousin. How many crayons did you give away? Draw a square. Divide it into four equal parts. Shade three quarters (3/4) of the square. (This encourages understanding of multiples of quarters, extending the core concept) Sarah has 12 sweets. She gives half (1/2) to her brother and a quarter (1/4) to her sister. How many sweets does she give to each of them? There are 20 learners in the class. Half of them are boys. How many boys are there in the class? Draw 2 circles. Shade half of the first circle and one quarter of the second circle. Which has more shaded? Mom bought a pizza with 8 slices. Dad ate a quarter of the pizza. How many slices did Dad eat? Grandma baked 16 cookies. She gave half to her grandchildren.