1. CONFIDENTIAL1 Good Afternoon! Today we will be learning about Equivalent fractions & simplest form Let’s warm up : 7474 4747 What kind of fractions are these: 2) 3) 4) 1313 3 What fraction of the block is: 1) Blue 1) 4 9 2) Improper fraction 3) Proper fraction 4) Mixed fraction

2. CONFIDENTIAL2 Let’s review what we did in the last session FRACTION : A number that names part of a whole or part of a group. ¼ FRACTION DENOMINATOR NUMERATOR DENOMINATOR: It is the number below the bar in a fraction. The denominator represents the total number of equal parts in the whole or the set. NUMERATOR: It is the number above the bar in a fraction. The numerator represents how many pieces of the whole that are being discussed.

3. CONFIDENTIAL3 Here, we will see how we can count the individual parts of the hexagon. This is 5 parts of 6 parts of the Hexagon. So, this part will be denoted by the fraction 5 6 This is 1 part of 6 parts of the Hexagon. So, this part will be denoted by the fraction 1 6 Review

4. CONFIDENTIAL4 A fraction is part of an entire object Two fourths are yellow. One half is yellow. One fourth is yellow. Three fourths are yellow. Four fourths are yellow. Review

5. CONFIDENTIAL5 Types of Fraction PROPER FRACTION - fraction with the lowest of the two numbers on the top. Example:-4949 IMPROPER FRACTION - fraction with the highest of the two numbers on the top. Example:-5353 MIXED FRACTION – It is a fraction named by a whole number and a fraction. Example:-4949 5 Review

6. CONFIDENTIAL6 Identifying, reading and writing a fraction Write a fraction to show what part of the rectangle is pink. Pink part:4 NUMERATOR Equal parts in all: 7 DENOMINATOR So, 4 of the area is pink. 7 The fraction will be read as Four-sevenths. Review

7. CONFIDENTIAL7 Identifying, reading and writing a fraction for part of a group Write a fraction to show how many shapes are either Stars or Triangle. 3 stars + 2 triangles = 5 stars or triangles. Add to Identify: Number of Stars or Triangles = 5 Total number of shapes = 9 Of all the shapes, 5 are Stars or Triangle. 9 Review

8. CONFIDENTIAL8 Write a fraction to show how many shapes are not Stars or Triangle. 9 shapes - 3 stars - 2 triangles = 4 other shapes. Subtract to Identify: Number not Stars or Triangles = 4 Total number of shapes = 9 Of all the shapes, 4 are Stars or Triangle. 9 Review

9. CONFIDENTIAL9 Let’s start now with Equivalent fractions & simplest form Equivalent fractions: It is two or more fractions that name the same number. For example, 2 = 4 3 6 When the numerator and denominator are both multiplied by 2, the result is 4 6, which has the same value as 2 3. Equivalent Fraction.

10. CONFIDENTIAL10 Use Fraction models to find the Equivalent Fraction Equivalent Fraction for 6 12 Fraction piece used Number of pieces Equivalent Fraction 1818 44848 1616 33636 1414 22424 Line up the fraction models. Then count the number of pieces for each model that equal the length of 6 12 6 12 1818 1616 1414

11. CONFIDENTIAL11 Use paper and pencil to find the Equivalent Fraction Multiplying the numerator and denominator of a fraction by the same (non-zero) number results in a new fraction that is said to be Equivalent to the original fraction. i.e., The word Equivalent means that the two fractions have the same value.

12. CONFIDENTIAL12 1 = 1, 2, 3, 4, 5 and so on. 1 2 3 4 5 So, 1 x 6 = 6 2 6 12 2 x 3 = 6 4 3 12 3 x 2 = 6 6 2 12 You can multiply by 1 without changing the value of the fraction. Here fractions 1, 2, and 3 are Equivalent Fractions 2 4 6 because they have the same value.

13. CONFIDENTIAL13 Hence we see that, fraction in Lowest terms/Simplest Form is a fraction that has been reduced,or divided so far that the numerator and the denominator do not share factors any longer. SIMPLEST FORM: A fraction is in simplest form if 1 is the only common factor of the numerator and denominator. Fraction in Lowest terms/Simplest Form For example, 2 is the simplest form of 12. 318

14. CONFIDENTIAL14 Find the Simplest form of 4 12 STEP 1: Find the common factors. Factors of 4: 1, 2, 4 Factors of 12: 1, 2, 3, 4, 6, 12 Common factors of : 2, 4 In order to reduce a fraction to its lowest terms, you can divide the fraction by any common factor, and continue until it's in lowest terms, or they can divide by the greatest common factor.

15. CONFIDENTIAL15 STEP 1: Divide numerator and the denominator by the greatest common factor. 4 ÷ 4 = 1 12 4 3 Divide by 4 = 1 to simplify. 4 So, the value of the fraction doesn’t change.

16. CONFIDENTIAL16 BREAK

17. CONFIDENTIAL17 GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw- puzzles/12-piece-jigsaw/05-04-06-kitten.html

18. CONFIDENTIAL18 Assignments Find the Equivalent fraction of the following: 1) 1 3 2) 2 3 4) 2 5 3) 3 4 5) 5 6 1) 2 6 2) 4 6 3) 6 8 4) 4 10 5) 10 12

19. CONFIDENTIAL19 Find the Simplest form of the following: 6) 8 10 7) 24 36 9) 12 15 8) 15 24 10) 15 45 6) 4 5 7) 2 3 8) 5 8 9) 4 5 10) 1 3

20. CONFIDENTIAL20 Very Good! Let's Review Equivalent fractions: It is two or more fractions that name the same number. For example, 2 = 4 3 6 When the numerator and denominator are both multiplied by 2, the result is 4 6, which has the same value as 2 3. Equivalent Fraction.

21. CONFIDENTIAL21 Use Fraction models to find the Equivalent Fraction Equivalent Fraction for 6 12 Fraction piece used Number of pieces Equivalent Fraction 1818 44848 1616 33636 1414 22424 Line up the fraction models. Then count the number of pieces for each model that equal the length of 6 12 6 12 1818 1616 1414 REVIEW

22. CONFIDENTIAL22 So, 1 x 6 = 6 2 6 12 2 x 3 = 6 4 3 12 3 x 2 = 6 6 2 12 You can multiply by 1 without changing the value of the fraction. Here fractions 1, 2, and 3 are Equivalent Fractions 2 4 6 because they have the same value. REVIEW

23. CONFIDENTIAL23 REVIEW Hence we see that, fraction in Lowest terms/Simplest Form is a fraction that has been reduced,or divided so far that the numerator and the denominator do not share factors any longer. SIMPLEST FORM: A fraction is in simplest form if 1 is the only common factor of the numerator and denominator. Fraction in Lowest terms/Simplest Form For example, 2 is the simplest form of 12. 318

24. CONFIDENTIAL24 REVIEW Find the Simplest form of 4 12 STEP 1: Find the common factors. Factors of 4: 1, 2, 4 Factors of 12: 1, 2, 3, 4, 6, 12 Common factors of : 2, 4 STEP 1: Divide numerator and the denominator by the greatest common factor. 4 ÷ 4 = 1 12 4 3

25. CONFIDENTIAL25 You have done a nice job. See you in the next session.