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A fraction is part of a whole. 1 numerator (tells you how many parts you are talking about) 4 denominator (tells you how many equal parts the whole is divided into) Which ones are correct? 3 5 4 9 1 3 What do these pieces represent? Colour, cut, and use... find 4 or more equivalent fractions using your fraction strips do you see any relationships between the different strips? what fraction is purple? how many ways can we say this? work on FUN FRACTIONS (hint: knowing your multiplication table will help you with fractions) we will take up the answers next math lesson how many fractions can you write for the orange part? how could we write this? what fractions can we write for this? what fraction can we write for the stars? what fractions can we write for the purple diamonds? equivalent fraction or not? 1 7 --- = --3 21 equivalent equivalent fraction or not? 2 10 --- = --5 25 equivalent is this fraction correct? 2 --6 yes does the fraction represent the shaded area of the shape? 5 --3 no colour in 3 --5 olour in 1/4 c 4 colour in --12 (4 out of 12) is 4/5 the correct fraction to represent the green diamonds? yes draw a line to the proper fraction 1 --2 1 --1 2 --3 what fraction are ants? simplify your answer. 2/5 colour in 1 --3 colour in 2/7 colour 2/5 in blue & 1/5 in red equivalent fraction or not? 2 6 --- = --5 15 equivalent has this fraction been simplified completely? 8 4 2 --- = --- = --20 10 5 yes colour 1/4 in red & 1/2 in blue colour in 1/3 what fraction are girls? 3/4 what fraction are bears? 1/6 1 colour in --5 has this fraction been simplified completely? 12 6 3 --- = --- = --36 18 9 no colour 4/5 in red & 1/5 in green what fraction is coloured in? 1/4 3 colour in --4 equivalent fraction or not? 3 1 --- = --6 3 not equivalent let's aim at some equivalent fraction targets... Fractions here, and fractions there. This is all so confusing. So which is more? - get in groups of 3 - get 1 sheet for each group - cut out the pieces - what fraction of the whole square is each piece? - order the fractions from least to greatest - show your work to Miss. Tai what pattern do you notice? which is a bigger piece? steps: - find the "common denominator" remember: - do to the top as you do to the bottom 2 5 --- or --5 7 write the correct symbol: >, <, or = 5 --8 3 --4 write the correct symbol: >, <, or = 3 --6 4 --7 write the correct symbol: >, <, or = 3 --15 4 --5 write the correct symbol: >, <, or = 2 --7 4 --9 write the correct symbol: >, <, or = 3 --6 5 --10 write the correct symbol: >, <, or = 6 --10 1 --10 write the correct symbol: >, <, or = 8 --9 3 --5 1 -8 1 -2 a) b) d) 1 -2 g) j) m) e) 1 -3 h) 1 -5 1 -8 1 -3 k) c) 3 -4 5 -6 4 -8 4 -10 2 -4 2 -3 3 -5 2 -8 3 -6 4 -5 5 -10 7 -10 1 -3 8 -10 2 -5 6 -10 2 -3 f) 1 -2 i) 1 -10 l) 1 -4 o) 1 -4 3 -4 n) 3 -5 8 -8 2 -3 1 -2 3 -4 3 -8 5 -6 smallest biggest 1 -3 smallest 1 -2 4 -10 3 -4 2 -3 5 -5 biggest 1 -5 smallest 1 -10 3 -5 2 -8 3 -6 4 -5 biggest 1 -8 smalles t 1 -4 5 -10 7 -10 1 -3 6 -10 biggest 1 -3 1 -4 3 -4 3 -5 2 -5 9 -10 smallest biggest Take 30 minutes to work through your workbook p. 69 1-5 (shhhhhhh, if you can manage to work quietly, you may work in pairs - but if the noise level rises 2 notches, you will have to work individually) what is a fraction? a piece of a whole thing numerator is smaller than denominator 1 5 what if: the numerator is LARGER than the denominator? 5 3 improper fraction 5 3 1 2 3 mixed fraction improper fraction 14 3 4 2 3 mixed fraction What you need: - paper to write on - pencil - eraser - to work hard Roles for today: person with longest hair: in charge of picking up and returning Pattern Blocks from the container person with the biggest shoe size: in charge of recording answers for group person with the next birthday: in charge of making sure their group is doing the task at hand (very important role) How many are covered? Write a mixed number and improper fraction for each. 1. 7 triangles 2. 11 triangles 3. 2 triangles 4. 8 triangles 5. 21 triangles Switch roles now please... How many are covered? Write a mixed number, improper fraction, and picture for each. 1. 2 triangles 2. 9 triangles 3. 4 triangles 4. 10 triangles 5. 19 triangles Switch roles again please... How many are covered? Write a mixed number, improper fraction, and picture for each. 1. 3 triangles 2. 6 triangles 3. 9 triangles 4. 21 triangles 5. 12 triangles Switch roles again please... If is a whole, show: 1. 4 2. 3 1 -3 2 -3 3. 1 4. 2 2 -3 5. 3 1 -3 improper fraction 5 3 mixed fraction 1 2 3 10 3 improper fraction mixed fraction 24 5 improper fraction mixed fraction 2 2 3 mixed fraction improper fraction adding fractions... - find the common (same) denominator - add the numerators - change to MIXED fraction 3 2 + 5 6 - find the common (same) denominator - add the numerators - change to MIXED fraction - find the common (same) denominator - add the numerators - change to MIXED fraction 7 8 + 2 5 subtracting fractions... - find the common (same) denominator - subtract the numerators - change to MIXED fraction - find the common (same) denominator - subtract the numerators - change to MIXED fraction 5 7 - 2 14 4 3 4 - 3 1 2 - find the common (same) denominator - subtract the whole numbers then the numerators - find the common (same) denominator - subtract the whole numbers then the numerators 5 2 5 -4 4 5 BUT what if the numerator is not enough to subtract from? 4 16 - 1 8 - find the common (same) denominator - subtract the numerators - change to MIXED fraction - find the common (same) denominator - subtract the whole numbers then the numerators 3 1 2 -1 2 3 2 3 3 4 2 5 + 1 - 1 4 5 2 3 4 5 4 4 6 5 - 2 + 6 3 4 3 4 multiplying fractions... 2 x numerators 3 5 x denominators 7 don't forget to SIMPLIFY if you can 3 5 8 4 10 9 7 4 6 10 4 8 12 7 x x x x 4 7 don't forget to SIMPLIFY if you can multiplying mixed fractions... 3 2 5 x 5 6 don't forget to SIMPLIFY if you can change to improper fraction, then multiply 2 1 3 4 2 3 x x 1 2 3 5 3 6 don't forget to SIMPLIFY if you can change to improper fraction, then multiply dividing fractions... 3 7 5 9 cross multiply don't forget to SIMPLIFY if you can cross multiply 5 3 7 5 4 6 9 7 don't forget to SIMPLIFY if you can 2 4 5 3 1 3 don't forget to SIMPLIFY if you can change to improper fraction, then cross multiply solve: 2 5 1 3 3 7 x 4 1 3 6 5 9 3 8 5 6 1 5 don't forget to SIMPLIFY if you can x 7 2 3 2 4 7 A crate of apples contains 8 apples. Miss.Tai gives 1 apple per student. She ends up giving away 3 1 boxes. How many students did she -2 give apples to? 3 2 Denzel ate 4 of pizza. Randall ate 6 of pizza. How much more pizza did 8 5 Randall eat? 2 Kat ate 5 chocolate bars in a week and Desiree ate 7 . How 3 many did they eat 1in total? 8 1 Bennett read 58 of his book in 1 week. How many pages did 3 he read, on average each day? River brought 5 cakes to the birthday party last night. If 1 fraction of cake is left? 1 were eaten, what2 If each cake was cut into 6 pieces, how many slices are left?