pedagogy mathsscientce asmas badar ppt.pptx

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1. Submitted to : Maam Sidra Saeed Submitted by : Gulshan Asghar Topic: Fractions as Percentages, Subject: pedagogy

2. Converting fractions and percentages Fractions and Percentages INSPIRED BY

3. Lesson Outline Review Finding Equivalent Fractions Writing Percentages as Fractions Writing Fractions as Percentages

4. Would you say that the two fractions represented by the models are equivalent? ?

5. Review equivalent fractions Write fractions as percentages Write percentages as fractions Learning Outcomes Fractions are considered equivalent when they have the same value even when their numerators and denominators are different. Page Linking: Use links to go to a different page inside your design. Highlight text, click on the link icon 🔗 above the text , and select the page you want to connect.

6. 2 6 2 6 4 12 4 12 = = Since the resulting fraction matches the second fraction, it means that 2/6 and 4/12 are equivalent fractions! × 2 × 2 Think of a number that can be multiplied or divided to both the numerator and denominator of the first fraction. If the resulting fraction matches the second fraction, they're equivalent. Finding Equivalent Fractions

7. Finding Equivalent Fractions 2 8 2 8 2 8 4 16 1 4 = = × 2 × 2 ÷ 2 ÷ 2 To find equivalent fractions, multiply or divide both the numerator and denominator by the same number. Recall:

8. per cent per hundred the amount in each one hundred Any fraction can be written as a percentage by finding its equivalent that has a denominator of 100. %

9. 25 100 1 4 Write the value of the numerator followed by the percent symbol. 3. Count the number of shaded parts. 2. Split the squares to form 100 squares. 1. 25% Writing Fractions as Percentages

10. 1. 2. Remove the % symbol. Write the number as a numerator of a fraction with a denominator of 100. 60% 60 60% 60 100 TIP: This is a fraction of a 100 and can still be simplified as needed. Can you write this fraction in simplest form? Writing Percentages as Fractions Use the highest common factor to simplify the fraction from a percentage

11. Writing Percentages as Fractions Use the highest common factor to simplify the fraction from a percentage Simplest form = = 60% 60 100 Factors 60 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 100 1, 2, 4, 5, 10, 20, 25, 50, and 100 Find the highest common factor of 60 and 100. 1. Divide the numerator and denominator by the highest common factor to simplify. 2. 60 100 3 5 = ÷ 20 ÷ 20

12. PRACTICE Write the following fractions as percentages. Write the following percentages as fractions. 1) 2) 1) 2) as a fraction of 100 12% in simplest form 15% A B

13. 30 100 3 10 TIP: Find the number that must be multiplied to the denominator to get 100 then multiply it to the numerator too. 20% 1 5 20 100 = 30% × 20 × 20 PRACTICE Answer Key Write the following fractions as percentages. A 1) 2)

14. PRACTICE Answer Key Write the following percentages as fractions. B 1) 2) 12 out of 100 12 100 as a fraction of 100 12% 15 out of 100 3 20 15 100 ÷ 5 ÷ 5 in simplest form 15%

15. Reference Mathspace. "6.01 Fractions out of 100 | Grade 5 Math | Australian Curriculum Year 5 - vs9 Pre-release" Accessed 7 August 2023, https://mathspace.co/textbooks/syllabuses/Syllabus-1165/topics/Topic-22070/subtopics/Subtopic-280745