YEAR 11 MATHS Equivalent fractions
What is an equivalent fraction The shaded portion is  1 2 The shaded portion is  2 4
What is an equivalent fraction The shaded portion is  1 2 The shaded portion is  3 6
What is an equivalent fraction The shaded portion is  1 2 The shaded portion is  4 8
What is an equivalent fraction The shaded portion is  1 2 1   is the same as  2   3   4   5   and so on 2  4  6  8 10  2  ...
The quick way to find equivalent fractions <ul><li>Take the fraction  1 </li></ul><ul><li>2 </li></ul><ul><li>The numerato...
Finding equivalent fractions. Examples <ul><li>Take the fraction  1 </li></ul><ul><li>3 </li></ul><ul><li>The numerator  =...
Finding equivalent fractions. Examples <ul><li>Take the fraction  2 </li></ul><ul><li>3 </li></ul><ul><li>The numerator  =...
Equivalent fractions.  <ul><li>Now consider these two </li></ul>Multiply by 5  Add 3 Add 2 Multiply by 5  <ul><li>Q. What ...
Equivalent fractions.  <ul><li>What are the missing numerators? </li></ul>
Equivalent fractions <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equivalent fracti...
Writing different fractions with t <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equ...
Writing different fractions with the same denominators <ul><li>Take the fractions  1   and  1 </li></ul><ul><li>2  3 </li>...
Writing different fractions with the same denominators <ul><li>As 3 parts out of 6 is bigger than 2 parts out of 6 </li></...
Writing different fractions with the same denominators <ul><li>Take the fractions  1  1  and  1 </li></ul><ul><li>2  3  4 ...
Ordering fractions <ul><li>Order the fractions  1  1  and  1 </li></ul><ul><li>2  4  3 </li></ul><ul><li>We know: </li></u...
Classwork  <ul><li>Ex A page 366 </li></ul><ul><li>Q1 </li></ul><ul><li>Q4 </li></ul><ul><li>Q6 </li></ul><ul><li>Q7 </li>...
Harder ordering of fractions <ul><li>Order the fractions  1  1  and  2 </li></ul><ul><li>2  3  5 </li></ul><ul><li>Rather ...
Classwork <ul><li>Ex A P 366 </li></ul><ul><li>Q3 </li></ul><ul><li>Ex B p 368 </li></ul><ul><li>Q1 </li></ul><ul><li>Q2 <...
Upcoming SlideShare
Loading in...5
×

Equivfract

419

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
419
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
5
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Equivfract

  1. 1. YEAR 11 MATHS Equivalent fractions
  2. 2. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 2 4
  3. 3. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 3 6
  4. 4. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 4 8
  5. 5. What is an equivalent fraction The shaded portion is 1 2 1 is the same as 2 3 4 5 and so on 2 4 6 8 10 2 3 4 5 and so on are called equivalent fractions of 1 4 6 8 10 2
  6. 6. The quick way to find equivalent fractions <ul><li>Take the fraction 1 </li></ul><ul><li>2 </li></ul><ul><li>The numerator = 1 . The denominator = 2 </li></ul><ul><li>Keep adding 1 to the numerator </li></ul><ul><li>Keep adding 2 to the denominator </li></ul>Add 1 Add 2 Add 1 Add 1 Add 1 Add 1 Add 2 Add 2 Add 2 Add 2
  7. 7. Finding equivalent fractions. Examples <ul><li>Take the fraction 1 </li></ul><ul><li>3 </li></ul><ul><li>The numerator = 1 . The denominator = 3 </li></ul><ul><li>Keep adding 1 to the numerator </li></ul><ul><li>Keep adding 3 to the denominator </li></ul>Add 1 Add 3 Add 1 Add 1 Add 1 Add 1 Add 3 Add 3 Add 3 Add 3
  8. 8. Finding equivalent fractions. Examples <ul><li>Take the fraction 2 </li></ul><ul><li>3 </li></ul><ul><li>The numerator = 2 . The denominator = 3 </li></ul><ul><li>Keep adding 2 to the numerator </li></ul><ul><li>Keep adding 3 to the denominator </li></ul>Add 2 Add 3 Add 2 Add 2 Add 2 Add 2 Add 3 Add 3 Add 3 Add 3
  9. 9. Equivalent fractions. <ul><li>Now consider these two </li></ul>Multiply by 5 Add 3 Add 2 Multiply by 5 <ul><li>Q. What number is ? </li></ul><ul><li>3 multiplied by 10 to make 30. So multiply 2 by 10 to get </li></ul><ul><li>= 20 </li></ul>
  10. 10. Equivalent fractions. <ul><li>What are the missing numerators? </li></ul>
  11. 11. Equivalent fractions <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equivalent fractions </li></ul>
  12. 12. Writing different fractions with t <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equivalent fractions </li></ul>
  13. 13. Writing different fractions with the same denominators <ul><li>Take the fractions 1 and 1 </li></ul><ul><li>2 3 </li></ul><ul><li>Now </li></ul><ul><li>And </li></ul><ul><li>The fractions with the same denominators are arrowed. The smallest common denominator is 6. So we have </li></ul>
  14. 14. Writing different fractions with the same denominators <ul><li>As 3 parts out of 6 is bigger than 2 parts out of 6 </li></ul><ul><li>is bigger than </li></ul><ul><li>This is how we know is bigger than </li></ul>
  15. 15. Writing different fractions with the same denominators <ul><li>Take the fractions 1 1 and 1 </li></ul><ul><li>2 3 4 </li></ul><ul><li>Now </li></ul><ul><li>The fractions with the smallest same denominator is arrowed. </li></ul>
  16. 16. Ordering fractions <ul><li>Order the fractions 1 1 and 1 </li></ul><ul><li>2 4 3 </li></ul><ul><li>We know: </li></ul><ul><li>6 out of 12 is biggest, 4 out of 12 is next, then 3 out of 12 </li></ul><ul><li>So the order is </li></ul>
  17. 17. Classwork <ul><li>Ex A page 366 </li></ul><ul><li>Q1 </li></ul><ul><li>Q4 </li></ul><ul><li>Q6 </li></ul><ul><li>Q7 </li></ul>
  18. 18. Harder ordering of fractions <ul><li>Order the fractions 1 1 and 2 </li></ul><ul><li>2 3 5 </li></ul><ul><li>Rather than work out equivalent fraction lists – which will here take a long long time! - we use a short cut. </li></ul><ul><li>Step 1 : Multiply all 3 denominators = 2 x 3 x 5 = 30 </li></ul><ul><li>Step 2 : Find the fractions equivalent to the one with denominator 30 </li></ul><ul><li>So </li></ul><ul><li>. </li></ul>biggest smallest middle
  19. 19. Classwork <ul><li>Ex A P 366 </li></ul><ul><li>Q3 </li></ul><ul><li>Ex B p 368 </li></ul><ul><li>Q1 </li></ul><ul><li>Q2 </li></ul><ul><li>Q4 </li></ul>
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×