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Grade 9 Maths - Fractions 1

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A powerpoint on performing operations with fractions.

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Grade 9 Maths - Fractions 1

  1. 1. Grade 9 Maths<br />Fractions Review<br />
  2. 2. The next topic in our Number Unit is fractions. <br />So I can make sure no-one is left behind, let’s start with some basics (quickly), before we move on to our Grade 9 work.<br />Let’s Review<br />
  3. 3. Fractions are a way to represent a number.<br />What fractions tell us is how many parts of a whole number we have.<br />E.g. ½ means we have one part out of the two needed to make a whole. <br />What Are Fractions?<br />
  4. 4. The top part of the fraction tells us how many parts of the whole we have.<br />The bottom part of the fraction tells us how many parts make up the whole.<br />e.g. 1 Numerator (we have one part of the whole)<br /> 4 Denominator (four parts make up the whole) <br />The line – known as the vinculum – means divide<br />Parts Of A Fraction<br />
  5. 5. In your book, write the following fractions and draw a diagram to show them (e.g. like slices of a pizza).<br />13613<br /> 3 5 10 4<br />Draw Your Own Fractions<br />
  6. 6. Solve the following in your book. Draw a diagram if it helps you, otherwise write the question and the answer.<br />1 – 1/3 =<br />1 – ½ =<br />1 – 1/6 =<br />1/3 + =1<br />¼ + = 1<br />Work It Out<br />
  7. 7. There are 3 types of fractions:<br />Proper, Improper & Mixed Number<br />Types of Fractions<br />
  8. 8. A proper fraction has a numerator that is less than the denominator.<br />Proper Fraction<br />
  9. 9. An improper fraction has a numerator greater than the denominator.<br />Improper Fraction<br />
  10. 10. A mixed number contains a whole number part and proper fraction part.<br />Mixed Number<br />
  11. 11. Unit 1 – Types of Fractions<br />Answer the following in your book – write the question number and your answer as either:<br />P = Proper Fraction<br />I – Improper Fraction<br />MN = Mixed Number<br />Your Turn<br />
  12. 12. Unit 1 – Types of Fractions<br />
  13. 13. A proper fraction is in its simplest form when its numerator and denominator are as small as possible (this will get you top marks on tests – and it’s easier to imagine simple fractions).<br />A fraction can be reduced to its simplest form if we divide both the numerator and the denominator by their highest common factor.<br />Simplifying Fractions<br />
  14. 14. Think to yourself – what is the highest number that can be divided into both the numerator and the denominator?<br />E.g. 3 ÷3 = 1<br /> 6 ÷3 2<br />Now we have the simplest form of the fraction.<br />Simplifying Fractions<br />
  15. 15. Unit 6 – Simplifying Fractions<br />Answer the following in your book – write the question number, the original fraction, what you divide by and your answer:<br />E.g. 3 ÷3 = 1<br /> 6 ÷3 2<br />Your Turn<br />
  16. 16. Unit 6 – Simplifying Fractions<br />
  17. 17. Book Work<br />Maths Quest 9: Exercise 1D Page 25 <br /> Do Question 1 – all problems<br />Maths Works 9: Exercise 3G Page 51<br />Do Questions 1-10<br />
  18. 18. In order to solve some problems it will be necessary to change fractions from one type to another.<br />It becomes especially important when you try to change a fraction to a decimal or percentage.<br />Converting Fractions<br />
  19. 19. Changing Improper Fractions to Mixed Numbers<br />As we move through this unit, you may be asked to change an improper fraction to a mixed number to solve a problem.<br />Here are the steps:<br />Divide the numerator by the denominator and write the answer (this will be the whole number).<br />Write the remainder (if there is one) over the original denominator.<br />
  20. 20. Example:<br />Changing Improper Fractions to Mixed Numbers<br />
  21. 21. Unit 2 – Changing Improper Fractions to Mixed Numbers.<br />Answer the following in your book – write the question number, the original fraction, what you divide by and your answer:<br />E.g. 20 = 20 ÷3 = 6 remainder 2 = 6 2/3<br /> 3 <br />Your Turn<br />
  22. 22. Unit 2 – Changing Improper Fractions to Mixed Numbers<br />
  23. 23. Unit 3: Changing Mixed Numbers to Improper Fractions<br />As we move through this unit, you may be asked to change an mixed number to an improper fraction to solve a problem.<br />Here are the steps:<br />Multiply the whole number by the denominator and add the numerator.<br />Write this answer over the original denominator.<br />
  24. 24. Unit 3: Changing Mixed Numbers to Improper Fractions<br />
  25. 25. Unit 3 – Changing Mixed Numbers to Improper Fractions. <br />Answer the following in your book – write the question number, the original fraction, what you multiply by and your answer:<br />E.g. 2 ¾ = 2 x 4 + 3 = 11= 11/4 <br />Your Turn<br />
  26. 26. Unit 3: Changing Mixed Numbers to Improper Fractions<br />
  27. 27. Book Work<br />Maths Quest 9: Exercise 1D Page 25 <br /> Do Question 2 – a-e<br /> Do Question3 – a-e<br />Maths Works 9: Exercise 3C Page 47<br />Do Questions 1-10 & 26-35<br />
  28. 28. Unit 4: Comparing Fractions<br />Before we can compare fractions <br />OR<br />add, subtract, multiply or divide fractions, we must make sure that they have the same denominators.<br />To do that:<br />1. Find the lowest common multiple (LCM -the lowest number that both denominators divide into).<br />2. Multiply each fraction by the number that will give them the lowest common multiple (LCM).<br />
  29. 29. Unit 4: Comparing Fractions<br />
  30. 30. Unit 4 – Comparing Fractions<br />Find the lowest common multiple for the two fractions.<br />Multiply each fraction by a number that will give the lowest common multiple.<br />Write the new fractions.<br />State whether the first fraction is:<br />> greater than or<br /> < less than<br />Your Turn<br />
  31. 31. Unit 4: Comparing Fractions<br />
  32. 32. Maths Quest 9 Students – <br />Questions 9-20 & 27-32<br />Maths Works 9 Students –<br />Questions 1-8 & 21-26<br />Unit 18 - Worksheet<br />
  33. 33. Maths Bingo <br />A Maths Question will appear on the board.<br />The answer will be a number from 1-90.<br />Work out the answer and see if it is a number on your sheet.<br />If it is, place an X on your sheet over the number.<br />Once you have five numbers marked with an X, call “Bingo”. You are the winner!<br />We’ll also play games for first to 10 and first to 15 if there’s time.<br />Maths Bingo<br />

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