Series E Student My name
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Series E Contents Topic Working with frac ons (pp. ) modelling frac ons comparing and ordering frac ons frac ons of a collec on frac on word prolems frac on go fish apply Date completed / / / / / / / / / / Topic Types of frac ons (pp. ) equivalent frac ons mixed numerals mixed numerals ac vity four in a row frac ons apply / / / / / / / / Topic Frac ons, decimals and percentages (pp. ) wri ng tenths as decimals rela ng tenths, hundredths and decimals introducing percentages 00 hundredths apply / / / / / / / / Series Author: Nicola Herringer Copyright
Working with fractions modelling fractions A frac on is a part of a whole. This circle had een divided into pieces and has pieces shaded. = shaded parts parts altogether The top numer is the numerator, the o om numer is the denominator. Divide each shape into quarters. Shade one quarter: a c d Shade one third on each shape: a c d What frac on is shaded? a c Frac on shaded Frac on shaded Frac on shaded If this is of a shape, what does the whole shape look like? Copyright P Learning E
Working with fractions modelling fractions Complete the tale for each shape. a c d e f Shape a c d e f Frac on that is shaded Frac on that is unshaded This shape has pieces. To show half, I have shaded pieces. 6 How many different ways can you show a half? E Copyright P Learning
E Copyright P Learning Working with fractions comparing and ordering fractions Connect the frac ons to their places on the numer lines. a 6 c d 0 6 7 0 0 0 0 0 0 0 0 0
Working with fractions comparing and ordering fractions W Red Light green You will need a copy of this page. a Colour each strip in the diagram. If the orange strip is whole, what are the frac ons of the other strips? Lael the diagram. copy Purple c Cut out each coloured frac on strip. Yellow Dark green Black Brown Blue Orange Use the frac on strips that you have cut and coloured to answer these: a If purple is, which colour is whole? If red is, which colour is whole? c If lue is whole, which colour is? d If I connected purple and dark green together and they equalled whole, what is the value of each? Purple = Dark green = e If I connected red, light green and purple and they equalled whole, what is the value of each? Red = Light green = Purple = E Copyright P Learning
Working with fractions comparing and ordering fractions If the purple strip is equal to whole, what frac ons would these strips now e: a Light green Red c White If the rown strip is equal to whole, what frac ons would these strips now e: a Purple White c Red 6 If the dark green strip is equal to whole, what frac ons would these strips now e: a Yellow Light green c White 7 This picture shows halves. The red strip is and each white strip is. Red White a Use your strips to create a picture that shows a whole, halves and quarters. First choose a strip that is equal to whole, then choose different colours for the halves and the quarters. Paste your strips in the space elow: Copyright P Learning E
Working with fractions fractions of a collection Finding a frac on of different amounts is like division. Look at this array of dots. Finding one quarter is the same as dividing y. = of = Circle the frac on given for each group and complete the statements: a of pentagons = of = of stars = of = c of triangles = of = Shade for you. of these grids and complete the statements. The first one has een done a c 6 = = = of 6 = of = of = 6 E Copyright P Learning
Working with fractions fractions of a collection Shade on these grids and complete the statements: a c = = = of = of = of = Shade on these grids and complete the statements: a c = = = of = of = of = Find the frac ons of these numers: a of = of = c of 9 = d of = e of 6 = f of 0 = 6 Complete this picture to show that of these oys are wearing hats: First work out what of 6 is then mes y. Copyright P Learning E 7
Working with fractions fractions of a collection Josie connected cues. were red, were yellow and the rest were lue. What frac on of the whole were lue? 6 or Red: of = Yellow: of = Blue = 6 R R R Y Y Y B B B B B B 7 Answer these cue prolems: a Amy connected cues. were green, and the rest were lue. were red How many were lue? Green: of = Red: of = Joel connected 6 cues. were lue, were orange and the rest were purple. How many were purple? Blue: of 6 = Orange: of 6 = c Natalie connected 0 cues. were yellow, were green and the rest were orange. How many were orange? Yellow: of 0 = Green: of 0 = Amer sca ered a packet of Smar es on her desk to see how many lue ones there were. Below is a list of what was in the packet. Shade them as shown: a c were red = were yellow = d 6 were pink = were green = e The rest were lue. How many were lue? E Copyright P Learning
Working with fractions fraction word prolems Jess spent half of her pocket money on a magazine. If she gets $0 pocket money, how much was the magazine? If one quarter of a packet of sweets is sweets, how many sweets are there in the whole packet? Marley and Ma shared a pizza that had een cut into pieces. Marley ate of the pizza and Ma ate. How many pieces were le? Amy made cupcakes. She iced of them pink, of them lue and le the rest plain. How many plain cupcakes were there? Josie ordered two pizzas cut into eighths. If he ate of a pizza, how much was le? Copyright P Learning E 9
Fraction go fish apply Ge ng ready This is a game for either or players. Each player will need to cut out a copy of the cards on page. What to do Choose one person to e the dealer. Each player cuts out the cards and gives them to the dealer. The oject of this game is to collect as many pairs of cards showing the same frac on as possile. The dealer shuffles the cards well and deals 6 cards to each player. The remaining cards are placed face down in the pond in the middle with players si ng around the pond in a circle. The player on the dealer s right egins y asking any player for a specific card. For example: Amity do you have a card that shows? If Amity has a card she must hand over that card and the same player asks anyone in the group for another card. If a player does not have the card that was asked for they must say, Go fish. Then the person asking must take a card from the pond and it is the next person s turn. Play con nues un l there are no more cards le in the pond. The player with the most sets is the winner. 0 E Copyright P Learning
Fraction go fish apply copy Copyright P Learning E
Types of fractions equivalent fractions Different frac ons can have the same amount. They are equivalent. This pizza has een cut into parts. has een eaten. This pizza has een cut into parts. has een eaten. Here we are going to explore equivalency. You will need a copy of these frac on strips. copy 6 First colour in each strip a different colour, then follow these steps: Strip : Cut out the first strip and write whole. Strip : Cut out the second strip, fold it in half and cut the equal size pieces. Lael each piece. Strip : Strip : Cut it out, fold it in half and half again. Cut the pieces and lael each piece. Cut out the next strip and fold into eighths. How will you do this? Cut the pieces and lael each piece. Strips and 6: The last strips have een marked for you. Count the markings. What frac ons are they? Place all of these strips into a plas c sleeve to keep them all in one place. This is your frac on kit. E Copyright P Learning
Types of fractions equivalent fractions Use the equivalent frac on strips to answer these: a How many quarters in one half? How many eighths in one half? c How many fi hs in one whole? d How many tenths in one half? Use the equivalent frac on strips to play these games. Both games are for players only. You will need: your frac on kit a die Numer on die Frac on piece from kit or red or yellow or 6 orange Game The aim of this game is to e the first to reveal the whole piece of paper from your frac on kit. Start the game with the whole covered with halves. Player rolls the die and takes off that frac on. Players may need to swap pieces from their own kit first. For example, if you roll first, you need to swap for, then you can take off. Player rolls the die and takes off that frac on, swapping pieces if needed. The winner is the player who is the first to reveal the whole piece of paper first. copy Game The aim of this game is e the first player to complete wholes. players use oth sets of frac on strips. Line up the wholes together. Player rolls the die and places the frac on piece on top of one of the wholes. Player rolls the die and places that frac on piece on top of one of the wholes. Players take turns. The winner is first player who is the first to place the last piece that covers wholes. You cannot go over wholes. Your last piece must fit exactly. Copyright P Learning E
Types of fractions equivalent fractions Shade and lael these models to show equivalent frac ons: a = = = = c = d = = = Write either T for true or F for false under each statement: a > 0 0 < c < 0 d > 7 0 e < f 0 < E Copyright P Learning
Types of fractions mixed numerals A mixed numeral is a whole numer and a frac on. For example, say we connected 0 mul link cues and named this as whole. = If we then picked up more mul link cues we have another tenths. = 0 = 0 In each of these prolems, 0 mul link cues represent whole. Write the mixed numeral for each set of mul link cues. a = = c = Write the mixed numerals that these frac on models are showing: a = = c = d = Copyright P Learning E
Types of fractions mixed numerals Shade these frac on models to show the mixed numerals: a c d 0 e f Complete these numer lines: a 0 0 c 0 6 E Copyright P Learning
Types of fractions mixed numerals activity A group of friends has formed a Cookie Clu. They ake cookies at home and share them in school every Friday. Help the group share the cookies fairly. You will need a copy of page 0. Cut out the shapes for the following prolems and figure out the answers. Once you are happy with your solu ons, paste the pieces next to each person and write your answer as a mixed numeral at the o om of each page. Prolem : Saqi rought in doule choc chip cookies. Show him how he could share these among Cookie Clu memers. Hint: Cut each cookie into quarters. This means there are now a total of pieces to share among memers. Share these pieces evenly among memers: How many cookies does each memer get? Copyright P Learning E 7
Types of fractions mixed numerals activity Prolem : Vani rought in 7 doule choc chip cookies. Show him how he could share these among Cookie Clu memers. Hint: Cut each cookie into pieces. This means there are now a total of pieces to share among memers. Share these pieces evenly among memers: How many cookies does each memer get? E Copyright P Learning
Types of fractions mixed numerals activity Prolem : Rex rought in doule choc chip cookies. Show him how he could share these among Cookie Clu memers. Hint: Cut each cookie into pieces. This means there are now a total of pieces to share among memers. Share these pieces evenly among memers: How many cookies does each memer get? Copyright P Learning E 9
Types of fractions mixed numerals activity Copy and cut out the following shapes: Prolem copy Prolem Prolem 0 E Copyright P Learning
Four in a row fractions apply Ge ng ready This is a game for to players. You will need the playing oard elow, dice and each player will need a different set of coloured counters. What to do The aim of this game is to claim squares in a row y covering the mixed numers with your counters. You can go horizontally, ver cally or diagonally. Player rolls dice and creates a mixed numer with the numers. For example, if a player rolled a, and 6, they could put their counter on 6 or 6 or 6. If a player cannot make a frac on to claim or it is already claimed, they miss a turn. Note: Make sure the numerator is smaller than the denominator. 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Copyright P Learning E
Fraction frenzy apply Ge ng ready This is a game for players. You will need a copy of the playing cards on this page and page. Cut them out and shuffle them well. Players take turns eing the dealer. copy What to do The aim of this game is to get rid of all the cards. The dealer deals out all the cards evenly so each player has the same amount of cards. Each player keeps their cards in a pile face down. On the count of, players turn over the top card and place them on the tale. The player who has the greater frac on wins the round and the other player adds oth cards to their pile. If the frac ons are equivalent, play con nues un l a player wins the round. The winner is the first player to get rid of all their cards. 0 0 0 E Copyright P Learning
E Copyright P Learning 0 0 6 0 7 0 0 9 0 6 7 0 Fraction frenzy apply copy
, decimals and percentages writing tenths as decimals Tenths are wri en as decimals like this: 0 0 0. 0. 0. 0. 0. 0.6 0.7 0. 0.9.0 0 0 0 0 0 6 0 7 0 0 9 0 0 0 Shade the frac on strips so each one matches the frac on or the decimal: a 0.7 0 c 0. Order each set of frac ons and decimals from smallest to largest: a 0., 0., 0, 9 9 0 0, 0.,.0, 0 Show the place value of these decimals y wri ng them in the tale: Ones a 0.6.7 c. Tenths Ones Tenths The decimal point signals the place value of numers smaller than. This numer is and 0 or and 0.. Connect the matching frac ons and decimals: 0 0 6 0 7 0 0.6 0.7. 0. 7 0 0 9 0 0. 0.9. 0.7 E Copyright P Learning
, decimals and percentages writing tenths as decimals Lael this sec on of a ruler as cen metres in decimals. The first ox has een done for you. (Note this diagram has een enlarged so you can see the lines clearly.) 6 These cats were the finalists in the Fa est Cat Compe on. Fill in the lanks elow: Felix. kg Leroy.9 kg Mosley. kg a is heavier than y 0 is heavier than y 0 of a kilogram. of a kilogram. c is lighter than y 7 0 of a kilogram. 7 Write the mass of each cat and < or > to make the sentence true. a Felix Leroy Mosley Felix The comined weight of which two cats is.7 kg? and Copyright P Learning E
, decimals and percentages writing tenths as decimals = = = whole 00 hundredths 0 tenths 60 00 is the same amount as 6 0. We can divide a whole into one hundred parts. These are called hundredths. Hundredths are made up of 0 lots of tenths. Show how these amounts are the same: a 0 00 is the same amount as 0. 0 00 is the same amount as 0. = = c 0 00 is the same amount as 0. d 70 00 is the same amount as 7 0. = = Shade these amounts on the hundred grids: 9 a 0 0 c 0 0 d 0 6 E Copyright P Learning
, decimals and percentages relating tenths, hundredths and decimals This diagram shows 6 hundredths shaded or 6 00. Frac ons can e wri en as decimals. As a decimal, this amount is wri en as: Ones Tenths Hundredths 0 6 Complete this tale to show the amounts as tenths, hundredths and decimals: a Tenths Tenths Hundredths Hundredths Decimals Decimals c Hundredths. is same as.0. Decimals d Hundredths Decimals Show the place value of these decimals y wri ng them in the tale: Hundreds Tens Ones Tenths Hundredths a.6.76 c.6 d.67 Copyright P Learning E 7
, decimals and percentages relating tenths, hundredths and decimals Shade the frac ons on the grid and show them as hundredths and decimals: a = 00 = 0. = 00 = 0. c d 0 = 00 = 0. = 00 = 0. 6 Express these common frac ons as hundredths and as decimals: a = 00 = 0. = 00 = 0. c 0 = 00 = 0. d = 00 = 0. e = 00 = 0. f 0 = 00 = 0. 7 Show where the decimals fit on the numer lines: a 0. 0. 0. 0...7 E Copyright P Learning
, decimals and percentages introducing percentages A percentage is an amount out of 00. 00 = % Colour this hundred square according to the direc ons: a % green 0% pink c % rown d 0% orange e % yellow f 0% red g Leave the rest lank. What percentage is this? The most commonly used percentage amounts are in the tale elow. Complete the tale and shade a hundredth grid for each amount. The first one has een done for you. a c d e Percentage 0% % 0% 7% 0% Hundredths 0 00 Decimal 0. Frac on Hundredth grid Copyright P Learning E 9
, decimals and percentages introducing percentages O en you can see percentages in shops when it is sale me. Work out the sale price of these items: End of year sale, all items 0% off! a Sale price: $0 Sale price: $ c $60 d e $0 $00 Sale price: Sale price: Sale price: Pie charts are used to show informa on clearly and are o en colour coded. Complete the pie charts according to the informa on. Each whole pie chart is 00% and each segment is 0%. Choose a colour for each it of informa on. a 00 people were surveyed aout their favourite weekend ac vi es. Go to a restaurant... 0% Go to the each... 0% See a movie... 0% Go shopping... 0% Play sport... 0% A percentage is an amount out of 00, so 00 60 would e the same as 00 0. 00 people were surveyed aout their favourite food. Pizza... 0 Hamurgers... 0 Pasta... 60 Curry... 0 0 E Copyright P Learning
00 hundredths apply Ge ng ready This is a game for players. Each player will need a copy of this page and a copy of the playing cards on page. copy What to do The oject of this game is to e the first player to colour a whole grid. Each player cuts out the playing cards. The players join the cards and shuffle them. There will e cards. Lay cards out in a row, ensuring oth players can see them. The rest of the cards go face down in a pile. Player takes a card from the row of and colours in that amount on one of their hundred grids. Then they put that card at the o om of the pile and replace it with one from the top of the pile. Player repeats this process. Players take turns un l player has filled in 00 hundredths or whole. (If you go over 00 hundredths or whole, it does not count as a win. You must reach exactly whole.) There are grids so play the est out of. Copyright P Learning E
00 hundredths apply 0 00 0% 0 00 0.0 copy 0. 0.7 0. 0 00 6 0 0% 0.9 0.0 0.6 0 00 % 00 % 0. 00 0 00 0. 0. % E Copyright P Learning