SectionLesson Fractions Equal And Unequal Parts One Half

Section/Lesson: Fractions Equal And Unequal Parts One Half, One Third and One Quarter EQUA L UNEQUA L

Objectives By the end of this section/lesson, students should be able to: § Read and write fractions § Compare fractions

Equal v/s Unequal Parts A B If the loaf is divided into 4 equal parts, which would be the result: A or B?

Definition of Fraction A B If we take one part of the loaf and represent it in terms of the whole, B cannot be used since all parts are not of the same size.

Definition of Fraction A However, every part is of the same size in loaf A. Hence, we can clearly say that the whole loaf is divided into four equal parts and one piece represents 1 part of a total of 4 parts.

Activity 1: Equal Parts 1. Pairs of students are provided with square/circle shaped paper cuttings. 2. Teacher introduces the given shape as a whole. 3. Students are asked to form two equal parts with one whole by folding. 4. Teacher introduces equal and unequal parts. (emphasizing on the importance of equality)

Activity 1: Equal Parts 5. Teacher brainstorms with students about the properties of the parts for the equal and unequal folding. 6. Teacher queries about the name given to the equal parts and introduces the concept of writing and naming a fraction. 1 2 half

Writing of fraction a is the number of parts - Numerator 1 a is similar to 2 B b is the total number of parts in the whole - Denominator

Consolidation Work A. Yes Justify your answer. B. No

More Fractions Divide the given figure into 3 equal parts.

More Fractions Now try to divide the given figure into 3 equal parts.

Brainstorm: More Fractions Try to divide the given figure into 3 equal parts. Is it possible to have 3 equal parts? A. Yes Why? B. No

More fractions What would be the fraction of the region in white?

More fractions When a whole is divided into 3 equal parts, each part is called a ‘third’. Here the section is one third of the whole and the white section is two third.

Fractions and the names 2 equal parts 3 equal parts 4 equal parts half third quarter

Fractions and the names 5 equal parts 6 equal parts 7 equal parts fifth sixth seventh

Fractions and the names 8 equal parts 9 equal parts 10 equal parts eighth ninth tenth

More fractions and the names 11 equal parts 17 equal parts 12 equal parts 18 equal parts 13 equal parts 14 equal parts 15 equal parts 16 equal parts 19 equal parts 20 equal parts

Consolidation Work 1. What fractions are represented below?

Consolidation Work

Consolidation Work

Consolidation Work

Consolidation Work 5. What fraction of the whole is shaded?

Consolidation Work 6. What fraction of the whole is white?

Consolidation Work

Fraction of a group Earlier, we have seen fraction of a whole shape. We can also have fraction of a group of objects with a similarity. number of green apple Total number of apples

Fraction of a group What fraction of the shapes are circles? Step 1: Count the circles. That is the numerator. Step 2: Count all the shapes. That is the denominator. Answe r:

Consolidation work 1. What fraction of the ten rupees are heads up?

Consolidation work

Consolidation work

Consolidation work 4. What fraction is not circled?

Fraction on a line A line can be equally divided. A B 2 equal parts A OR A B 3 equal parts B

Fraction on a line

Consolidation work Now, let’s do the same for AB when it is divided into 3 equal parts A 0 B 1

Consolidation Work 1. What denominator would you use if the number line was divided into 4 equal parts?

Consolidation Work 2. Should you use a ‘ 6’ in the denominator for this number line? A. Yes B. No

Consolidation Work 3. Move the fractions to label the dashes on the number line.

Consolidation Work 4. Divide the number line into 7 equal parts and label it.

Consolidation work

Consolidation work Option 1: A Option 2 : B Option 3: C Answer: _____

Consolidation work Option 1: A Option 2 : B Option 3: C Option 4: D Answer: _____

Fraction on a line When the line starts with 0, the fractions in-between becomes ¼, ½, ¾, etc. However, when the line already have some figures, the intervals are broken into fractions and these fractions are considered together with the whole numbers.

Fraction on a line Example:

Consolidation work 1. What values would A and B take? A B

Consolidation work 2. Write the missing values at A and B? A B

Compare fractions

Consolidation work Compare each set of fractions. Place the correct symbol between the 2 fractions.

Compare fractions

Compare fractions

Consolidation work Compare each set of fraction. Place the correct symbol between the 2 fractions.

Compare Fractions Unlike denominators/numerators How to compare two fractions, with both the numerator and denominator not same?

Compare Fractions Unlike denominators/numerators

Compare Fractions Unlike denominators/numerators How to compare two fractions, with both the numerator and denominator not same? We can also use number lines

Compare Fractions Unlike denominators/numerators

Consolidation work Compare each set of fraction. Place the correct symbol between the 2 fractions. (You can use squared papers)

Equivalent fractions The fraction bars below are equivalent because they are of the same size. = =

Equivalent fractions The fractions are of the same size but the denominators are different for each set of equivalent fractions.

Consolidation work

Equivalent fractions What do you note about the denominators of these equivalent fractions? Well, the denominators of the equivalent fractions are multiples of the smallest denominator That is, 4 = 2 x 2 6 = 3 x 2 6 = 2 x 3 9 = 3 x 3 8 = 2 x 4 12= 3 x 4 10= 2 x 5

Equivalent fractions So, and Like it can be seen, the numerator and the denominator are both multiplied by the same factor.

Consolidation work

End of the Section/Lesson: Fraction