Teaching fraction: Visual Model

The teaching of Fraction: Developing Children
Understanding, Basic four operation

1. Welcome in “Teaching of Fraction: Developing Children Understanding” by Muhammad Yusuf Sargodhians ’ Institute for Professional Development (SIPD) Rashidabad Thursday, July 2, 2020 Muhammad Yusuf

2. Approach Us Web: www.sipd.org.pk Facebook: https://web.facebook.com/Sargodhians-Institute-for-Professional-Development-101446921620638/ Twitter: https://twitter.com/officialSIPD Linkedin: http://www.linkedin.com/in/sipd Wednesday, July 1, 2020 Ms. Shazadi SIPD

3. Let us remind: A Fraction is a “Part” of a “Whole”.   The top number (the numerator) says how many parts we have. The bottom number (the denominator) says how many equal parts the whole is divided into

4.     +   =   +   =  

5.   -     =   -     =

6. Multiplying Fraction by using model . Example 1 :   Video Demo: Paper Folding Example 2 :   Video Demo: Paper Folding

7. Example :       Mark the double shaded boxes. Count the parts with respect to whole figure 2/12. Write an equation     =  

8. Multiplying Fraction by using model . Example 2 :   Step 1: Look at denominators of both fractions Step 2: Draw a rectangle of 4 rows by 3 columns. Step 3: shade one row for showing ¼ Step 4: Shade 2 columns for showing 2/3. Step 5: Mark the double shaded boxes. Count the parts with respect to whole figure 2/12. Step 6: Write an equation =   Now try yourself. 2.  

9. Example 1 :   The division answers the question: “How many are there in ?” or “How many times can we take 2/3 from 2/5?”   Consider 2/3 circled area as 1 whole and write fraction with reference to shaded small boxes. 6/10 (6 shaded small boxes out of 10 small boxes) Write the equation.  

10. Dividing Fraction by using model . Example 1 : The division answers the question: “How many are there in   Step 1: Look at the denominator of both fractions. Draw 5 columns by 3 rows rectangle. Step 2: Shade 2 columns for 2/5 . Step 3: Crile 2 rows for 2/3. You can observe that 4 shaded small boxes are in the circle and 2 shaded small boxes are outside the circle . Step 4: Bring those two small boxes in the circle. Consider 2/3 circled area as 1 whole and write fraction with reference to shaded small boxes. (6 shaded small boxes out of 10 small boxes)   Step 5: Write the equation.  

11. Example 2 :   How many times can we take 2/3 from 2/5? 1    

12.   The division answers the question: “How many are there in   Step 1: Look at the denominator of both fractions. Draw 4 columns by 3 rows rectangle. Step 2: Shade 2 columns for 3/4. Step 3: Crile 2 rows for 2/3. You can observe that 6 shaded small boxes are in the circle and 3 shaded small boxes are outside the circle. Step 4: Bring those 3 small boxes in the circle. Consider 2/3 circled area as 1 whole, and you can observe that area 2/3 once and 1 small box out of the next 8. So, the answer is . (1 complete area and 1 reaming small box.)   Step 5: Write the equation. Now, try yourself.    

13. Example:   Collect all the bars together and count. We will find 2 complete bars and one 2/3 in the third bar. It can be written 2  

14. Multiplying Fraction by using model . Example 1:   Step 1: Draw four bars on the given paper. Step 2: Look at the denominator of the fraction. Divide bars into three parts. Step 3: Shade 2/3 on all four bars. Step 4: collect all the bars together and count. We will find 2 complete bars and one 2/3 in the third bar. It can be written   Step 6: Write equation   1. 2.  

15. If a chocolate bar is divided equally among 4 children, What will each child get?   Read one of the parts with reference to the whole figure. Your answer will be 1/8 Write the equation.  

16. Dividing Fraction by using model. If a chocolate bar is divided equally among 4 children, What will each child get?   Step 1: Draw a rectangle. Divide it into two equal parts. Step 2: Shade one part to show ½ Step 3: Divide ½ part into 4 equal parts. Step 4: Read one of the parts with reference to the whole figure. Your answer will be 1/8 Step 5: Write the equation.  

17. Step 1: Draw 4 bars. Step 2: Divide each bar into two equal parts. Step 3: Count all the parts. You get 8. Step 4: Write the equation . 4÷1/2 = 8  

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