What wording would your students use to explain why the red block is a half?

Transcription

1 Developing Fractions Sense Grade 3 Standards What wording would your students use to explain why the red block is a half? Grade 3: 36/39 Which shapes have parts that are of Dear Workshop Participant: This handout is designed to enable you to better follow the presentation by entering notes next to specific problems. Additionally, it is intended as a resource for you once you return to the classroom. their whole shape? Copyright 2014 by Borenson and Associates, Inc Please write down a statement you can make to your students to explain the meaning of the fraction. What fractional part of the rectangular figure is shaded? PARCC Grade 3:13/15 A flower garden is divided into equal parts. The color of the flowers planted in each part is shown. 4 Choose one:... 5 Select the three statements that are true: a. There are red or yellow flowers in 1/6 of the garden. b. Purple flowers are planted in 7/8 of the garden. c. Pink flowers are planted in 1/8 of the garden. d. Each part of the garden is 1/8 of the whole garden. e. There are yellow flowers in 3/6 of the garden. f. Red flowers are planted in 3/8 of the garden. 6

2 In the rectangular grid below, one of the 8 equal rectangles has been partitioned into two parts. Given the rectangular bar below, Given the rectangular bar below, a. How many rectangles are colored red? b. How many rectangles are colored blue? c. How many rectangles are colored red or blue? d. What fraction of the grid is colored red or blue? e. How many rectangles are colored red and blue? f. What fraction of the rectangles are colored red and blue? display the fraction. display the fraction What do you think of displaying as shown below? Example: Mrs. Jones brought two cakes for Sean s birthday party. The cakes were divided into six slices each. A total of 7 slices were eaten. What fraction of Mrs. Jones cakes was consumed? How can we represent a segment of length 1/3 on a number line? Please discuss with a colleague

3 Locate a segment of length on the Here is a different question. Locate the point 7/9 on the number line. number line. Locate the number on the number line What are the names of points A and B? Label each point with its distance from the zero mark. PARCC Grade 3: 8/39 Plot the point that shows on the number line

4 PARCC Grade 3: 23/39 Plot a point on the number line that shows the location. Using the fraction blocks, please see what other equivalent fractions you can generate which are less than or equal to 1. = Use your knowledge of equivalent fractions, or generate equivalent fractions, to find the value of the question mark Draw two 4 by 2 rectangular grid on graph paper. Illustrate one equivalent fraction other than =. Use your knowledge of equivalent fractions, or generate equivalent fractions, to find the value of the question mark. Enrichment Use the figure below to come up with one pair of equivalent fractions involving the denominator of 12:

5 PARCC Grade 3:30/39 Which three comparisons are true? A. = B. = C. = D. = Part A: PARCC: Grade 3 E. = of the field has been planted with soybeans Part B Type a fraction different than in the boxes that also represents the fractional part of the farmer s field that is plated with soybeans. Explain why the two fractions above are equal. PARCC: Grade 3 An art teacher will tile a section of the wall with painted tiles made by students in three art classes. Class A made 18 tiles Class B made 14 tiles Class C made 16 tiles Part A: What is the total number of tiles that are used? Part B: The grid below shows how much wall space the art teacher can use. Use the grid to create a rectangular array showing how the art teacher might arrange the tiles on the wall. Select the boxes to shade them. Each tile should be shown by one shaded box

6 Part C Andy created a rectangular array showing how he would place 56. He placed 7 tiles in each row. He wrote a multiplication equation using R to stand for the number of rows to be used. Write an equation using R that Andy could have written. PARCC G3: 17/39 Use the More or Fewer buttons as many times as needed to divide the circle into 6 equal parts. Then shade 1/6 of the area of the circle. Divide the figure into the correct number of equal parts by using the More and Fewer buttons. Then shade by selecting the part or parts. PARCC Grade 3:36/39 Which three figures have an area of 12 square inches? Select three correct answers. Fewer More Reset PARCC Grade 3: 27/39 Ken draws a rectangle with an area of 35-square inches. The width of the rectangle is 5 inches. What is the length of Ken s rectangle? PARCC Grade 3: 19/39 Drag and drop the correct area into the box below each shaded rectangle. Smarter Balanced Grade 3 Find the numbers that go in the boxes. Draw a line to make two 5 feet by 2 feet rectangles. Then, find the total area

7 Show on the number line that are equivalent fraction. and Look at the diagram below. Write an equation between two equivalent fractions. Justify your response. Smarter Balanced PARCC Grade 3: 28/39 A fraction is shown on the number line. Plot a point on this number line to show a fraction that is equivalent to the fraction shown on the other number line. PARCC Grade 3: 33/39 Eric measures 10 oak leaves with a ruler. He records the lengths as shown. For each oak leave drop an x onto the line plot to show the length.,,,,,,,,, SB Grade 3:3 Drag each fraction to the correct point on the number line

8 Let s consider these 4 circles as the whole. How many circles form one-third of the whole? Let s consider these 6 circles as the whole. What fraction of the whole is shown in each case? By definition, one-third is the part formed by 1 part when the whole is partitioned into three equal parts. How many circles form two-thirds of the whole? Let s consider these 6 circles as the whole. How many circles form five-thirds of the whole? Michelle has 15 dolls in her toy collection. Twothirds of the dolls have blond hair. How many of her dolls have blond hair? Enrichment Rashid showed us 9 of his collector coins, which is three-fourths of his coin collection. How many coins are in his collection?

9 Enrichment Ten counters are five halves of a set. How many counters does the set have? Let s define the perimeter of a rectangle The perimeter,, of a rectangle is the sum of all four sides. = or = + or = ( + ) PARCC Grade 3: 21/39 Lavina wants to place a fence around a rectangular play area for her rabbits. The play area will be 7-feet long and 4- feet wide. What is the total length of fence, in feet, Lavina needs to place around the play area? Let s compare fractions: Use the correct symbol to show the relationship: <, = or > Symbolically, >, h >. Use the correct symbol to show the relationship: <, = or > a. Justify your answer visually b. Justify your answer with a statement of explanation How would you verbalize the above statement?

10 If you like a cake, would you rather have one-third of the cake or one-hundredth of the cake? Which is larger? Symbolically, >, h <. How would you verbalize the above statement? Use the correct symbol to show the relationship: <, = or > Justify your response Symbolically, >, h <, for any whole number >. How would you verbalize the above statement? PARCC Grade 3: 3/39 < Select the three fractions that make this comparison true. a. b. c. d. e