Chapter 12 Answers. Problem of the Week p. 3

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1 Problem of the Week p.. I eat of my chocolate bar, which is equivalent to of her chocolate bar. is equivalent to In decimal form to.. From the decimal form of the fractions, we can see that see that chocolate bars are the same in size and mass.) My friend eats pieces, which means she eats is equivalent to. and is equivalent > From the diagram, we can also > Then my friend and I did not eat equivalent. (Note: This reasoning assumes that the =. = =.. From the diagram, the light grey circles show the basketballs that my class keeps. of basketballs is basketballs. The dark grey circles show the basketballs that the grade class keeps. of basketballs is basketballs. The white circles show the basketballs that the grade class keeps. There are basketballs left for the grade class. Therefore, my class gets the most basketballs. Chapter Mental Math (Master) pp.. a) 9 b) c) d) e) f). a) cm b) cm c) cm d) cm. a),, c),, e).,.,. b),, 9 d).,., 9. f).,.,.. a) 99 + = b) = 9 c) =.. a) b) c) d). a) b) c) d) e) f). a). b). c). d) e) f).. a),, b),, c),, d),, e),, 9. a) b).... Copyright Thomson Nelson

2 Scaffolding for Getting Started Activity (Master) pp. A. adults and children. B. There are seats in each car. of the seats are filled in. of the seats are filled in. is greater. C. counters represent the children. of the children are in. of the children are in. is smaller. D. counters represent the adults. of the adults are in. of the adults are in. is greater. E.,,, F. G. ; ; ; ; 9, 9 Chapter : Fractions Copyright Thomson Nelson

3 H. ; ; ; ; ; Scaffolding for Do You Remember? (Master) pp.. a) out of spaces are covered. The fraction is b) out of spaces are covered. The fraction is c) out of spaces are covered. The fraction is d) out of spaces are covered. The fraction is e) out of spaces are covered. The fraction is f) out of spaces are covered. The fraction is. a) elelphants; ; b) Gorillas, lions, and others have the same number of spaces. The fraction that represents this area is. a) triangles cover the hexagon. triangle is of a hexagon. b) rhombuses cover a hexagon. rhombus is of a hexagon. c) triangles cover of a hexagon. d) rhombuses cover of a hexagon. Copyright Thomson Nelson 9

4 . a) No. I know this because the rectangle is not divided into equal sections. b) Yes. I know this because the marbles are arranged into rows and of the rows of marbles are blue. c) Yes. I know this because of the equal-sized shapes in the box are blue. (The blue triangle is half a square. The blue rectangles are each half of the same-sized square.) d) Yes. I know this because of the utensils in the set of utensils are blue. Scaffolding for Lesson (Master) pp.. There are sections in this circle. The number of sections that are unshaded is. The fraction to represent the unshaded part is There are sections in this circle. The fraction to represent the unshaded part is The two equivalent fractions that represent the unshaded part are and b) There are sections in this rectangle. The number of sections that are unshaded is. The fraction that represents the unshaded part is For example:. There are sections in this rectangle. The number of sections that are unshaded is. The fraction to represent the unshaded part is The two equivalent fractions that represent the unshaded part are and a) ; b) ; 9 c) ;. For example, I choose a square. A fraction to represent the number of squares is An equivalent fraction to represent the number of squares is Chapter : Fractions Copyright Thomson Nelson

5 Scaffolding for Lesson (Master) pp. 9. cup oatmeal cup cup cup cup cup sugar cup cup cup cup There is more oatmeal. I know this because when I use the same measuring cup, I can see that the amount of oatmeal is more that the amount of sugar.. a) b) > I know this because when I compare the amounts on the fractions circles I can see that is larger than c) < I know this because when I compare the amounts on the fractions circles I can see that is smaller than < I know this because when I compare the amounts on the fractions circles I can see that is smaller than. Juanita ate of her pizza. Drake ate of his pizza. Patrick ate of his pizza. Camille ate of her pizza. Camille ate the most amount of pizza. I know this because when I compare the amount of each picture of the pizzas, I can see that Camille s amount is more than the other three people. Juanita ate the least amount of pizza. I know this because when I compare the amount of each picture of the pizzas, I can see that Juanita s amount is less than the other three people. Chapter Test (Master) pp.. Use the fractions circles to show each fraction. Write the correct fraction below the matching picture.. a) b) Copyright Thomson Nelson

6 . Sharon used the most milk. I know this because when I use fraction circles and compare the shaded amounts, I can see that is greater than > b) >. a) Since the denominators are the same, then I compare the numerators. Since >, then I can write an equivalent fraction for each fraction. = and = Since the denominators of the equivalent fractions are the same, then I compare the numerators. Since >, then >, which means that. a) = > > b) =. a) = b) =. I would spend or hours watching videos if each were hours long. is. From the first hundredths grid, we can see that an equivalent fraction to and the decimal equivalent is.. Compared to the second hundreds grid, we can see that is smaller than.. This means that fewer Grade students play hockey this year than last year. =. = 9. Mark plays the most. Patrick Kayla Liz Mark Chapter : Fractions Copyright Thomson Nelson

7 Chapter Task (Master) pp. A. Activity in seconds in minutes in hours in days in years sleep hold my breath years in school homework each night practise piano gym days write name times 9 B. I have been in school for years or of my life. I am years old and I have spent out of years in school. I spend minutes a day on homework, which is or of an hour. I spend min out of min on homework. I practise piano for h everyday or of a day. There are hours in day and I spend hour out of hours practising the piano. I have gym days a week, which is of a week. There are days in week and I have gym days out of days in a week. It takes me 9 s to write my name times, which is 9 or of a minute. There are seconds in a minute and it takes me 9 s out of s to write my name times. C. of my family goes to school. of my friends are in my class. of my class is girls. I have recess for I read of a book today. Part B D. Models of Fractions hours a day. Years in School Homework Each Night of my life Born 9 9 of an hour Practice the Piano of a day Gym periods Write Name x S M T W TH F S GYM GYM of a week or of a minute Copyright Thomson Nelson

8 Ten years ago I was born in a little town outside of Fraction Bay. For of my life I went to a babysitter. of my life I have been in school. Before I went to school I learned to print my name. I can now write For my first and last name twenty times in 9 seconds. This is more than minutes. At school my favourite subject is gym. We have gym on Mondays and Wednesdays. There are days in a week, so we have gym of a week. After school I have school homework and piano practice. I spend of an hour on reading and of an hour on mathematics. My parents make me practise the piano for whole hour each night. Lesson Answers (continued from page ). a) < Since they have the same denominator, then the fraction with the greater numerator will have the greater value. b) < Since the numerators are the same then the fraction with the greater denominator,, will have the lesser value. c) > By using a diagram of fraction circles, I can see that is greater than. a) < since fifths are smaller than thirds and of each means < b) > since the denominators are the same and >. c) > By using a diagram of fraction circles, I can see that is greater than. a) Juanita ate, Drake ate, Patrick ate, and Camille ate b) Camille ate the most, and Juanita ate the least. Each person ate fraction part bigger than one half, that is,,,, and Since the numerators are the same then the fraction with the greater denominator, namely, will have the lesser value, and the fraction with the lesser denominator will have the greater value, namely Lesson Answers (continued from page ). a) hours c) cups hours d) innings b). a) h = h b) h = h c) h = h or h d) h = h Chapter : Fractions Copyright Thomson Nelson

9 . a) bars = bars b) bars = bars c) bars = bars. a) hours is equivalent to For example, the video could be hours long since the fraction is in thirds. b) For example, if the video is h or min long, then Jose watched it times. 9. For example, Jake has boxes with chocolate bars in each box. If Jake sold boxes of his chocolate bars, how many bars did he sell? Solution: He sold boxes of chocolate bars, or bars. Lesson Answers (continued from page.). Answers may vary. For example: Colin runs km in min and Emily runs km in the same amount of time. Who ran the farthest in min? Use a model to solve the problems. Answer: can be written as an improper fraction as The fractions and can be modelled using fraction circles, and then the amounts compared. From the model we can see that Lesson Answers (continued from page.) c),,, is larger than This means that Colin ran the farthest. / / / / / / / / / / / / / / / / / / d),,, / / / / / / / / / / / / / / / Copyright Thomson Nelson