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Mathematics Shape and Space: Measurement (Volume)

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Presentation on theme: "Mathematics Shape and Space: Measurement (Volume)"— Presentation transcript:

1 Mathematics Shape and Space: Measurement (Volume)
Department of Curriculum and Pedagogy FACULTY OF EDUCATION Mathematics Shape and Space: Measurement (Volume) Science and Mathematics Education Research Group Categories: Elementary – Math – Shape and Space - Volume Tags: measurement, non-standard unit, volume, comparing objects, estimation, counting, Mathematics K-2 Excerpt: The following set of questions will explore how to best compare and measure using non-standard units of measurement in relation to the volume (capacity) of objects. Supported by UBC Teaching and Learning Enhancement Fund

2 Measurement: Volume Question Title Question Title

3 Question Title Question Title Measurement: Volume I
Which container can hold more yogurt? Kindergarten Mathematics PLO: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics PLO: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A B.

4 Comments Comments Solution Answer: B
Justification: Yogurt B’s container is bigger than Yogurt A’s container. Therefore, Yogurt B can hold more yogurt. It is not Yogurt A because the container is smaller and is able to contain less. A B.

5 Question Title Question Title Measurement: Volume II
Which crayon box can hold more crayons? A B. Kindergarten Mathematics PLO: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics PLO: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

6 Comments Comments Solution Answer: A
Justification: Crayon box A holds 12 crayons inside and Crayon box B holds 5 crayons inside. 12 is greater than 5. Therefore, Crayon box A can hold more crayons. Comment: We assumed the crayons in both boxes are all the same size. A B.

7 Question Title Question Title Measurement: Volume III
Which building can hold less people? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A B.

8 Comments Comments Solution Answer: A
Justification: The house is smaller than the apartment. Therefore, the house can hold less people, as it has less rooms. It is not the apartment because it is bigger, has more room, and can fit more people. A B.

9 Question Title Question Title Measurement: Volume IV
Which bottle would you use to carry more water? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A. B.

10 Comments Comments Solution Answer: B
Justification: A water bottle is approximately 750 mL and a large jug of water is approximately 3.8 L. Bottle B is larger than Bottle A and can therefore hold more water. 1000 millilitres = 1 litre 1000 millimetres = 1 metre A. B.

11 Question Title Question Title Measurement: Volume V
Which has more water? A. B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

12 Comments Comments Solution Answer: B
Justification: The bottles of water in A and B are the same size. 6 is greater than 2. Therefore 6 bottles of water is greater than 2 bottles of water. B.

13 Question Title Question Title Measurement: Volume VI
It is healthy to drink water. How many bottles of water would be healthy to drink in a day? A. B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

14 Comments Comments Solution Answer: B
Justification: A 4-8 year old child should drink about 5 cups of water or other beverages per day. Therefore it would be healthier to drink about 3 bottles of water per day than 1. B.

15 Question Title Question Title Measurement: Volume VII
Which option lists the amount of water from most to least? A. B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

16 Comments Comments Solution Answer: A
Justification: A 3.8 L bottle is larger than a 750 mL (0.750 L) bottle of water, which is larger than a cup of water (250 mL or L). Therefore the answer is A. It is not B because a bottle of water is larger than a cup of water. A.

17 Question Title Question Title Measurement: Volume VIII
Which container has the least milk? A B C. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

18 Comments Comments Solution Answer: B
Justification: A cup of milk is less than a 2 L container of milk, which is less than a 4 L jug of milk. Therefore the answer is B. The containers are listed from smallest to largest below.

19 Question Title Question Title Measurement: Volume IX
Which option lists the amount of milk from least to most? A. B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

20 Comments Comments Solution Answer: B
Justification: A cup of milk is less than a 2 L container of milk, which is less than a 4 L jug of milk. Therefore the answer is B. It is not A because a cup of milk is less than a 2 L container of milk. B.

21 Question Title Question Title Measurement: Volume X
Your friends come to visit. Which container of milk would you choose so that you will have enough to share? A B C. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

22 Comments Comments Solution Answer: C
Justification: The answer is the 4 L jug of milk . It is not a cup of milk because it is only enough for one person. Depending on the number of friends you have invited and the amount of milk they would like to drink, a 2 L container of milk may or may not be enough. The best choice is the 4 L jug of milk because it is the largest so you are sure to have enough for all of your friends.

23 Question Title Question Title Measurement: Volume XI
The cup of milk can hold ___________ the cup of chocolate milk. less than more than almost the same as Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

24 Comments Comments Solution Answer: C
Justification: The two cups are about the same size. Therefore, the cup of milk can hold almost the same as the cup of chocolate milk. C.

25 Question Title Question Title Measurement: Volume XII
Which balloon holds more air? A B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

26 Comments Comments Solution Answer: A
Justification: Balloon A is larger than Balloon B. Therefore, Balloon A holds more air than Balloon B. A B.

27 Question Title Question Title Measurement: Volume XIII
Which balloon takes longer to blow up? A B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

28 Comments Comments Solution Answer: B
Justification: Balloon B is larger than Balloon A. Therefore, Balloon B holds more air than Balloon A and would take longer to blow up. A B.

29 Question Title Question Title Measurement: Volume XIV
Which balloon would take less time to deflate? A B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

30 Comments Comments Solution Answer: A
Justification: Balloon A is smaller than Balloon B. Therefore, Balloon A holds less air than Balloon B and would take less time to deflate. A B.

31 Question Title Question Title Measurement: Volume XV
Which cup accurately represents the amount it can hold? A B C. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

32 Comments Comments Solution Answer: C
Justification: The objective is to hold the greatest amount of water the cup can contain. Therefore the answer is C because it is filled yet not over spilling. It is not A or B because the cups are not yet full and can contain more water. C.

33 Question Title Question Title Measurement: Volume XVI
Which garbage can more accurately represents the amount it can hold? A B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning

34 Comments Comments Solution Answer: A
Justification: The objective is to hold the greatest amount without spilling over the garbage can. Therefore, the answer is A because it is filled yet not over spilling. It is not B because the garbage can is over spilling and the lid would not fit. A B.

35 Question Title Question Title Measurement: Volume XVII
The garbage can is able to hold about ________________. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A. 4 bags of garbage B. 7 bags of garbage

36 Comments Comments Solution Answer: A
Justification: The objective is to hold the greatest amount without overspill. Therefore, the answer is 4 bags of garbage because it is filled yet not over spilling. It is not 7 bags of garbage because it is over spilling and the lid would not fit. A B.

37 Question Title Question Title Measurement: Volume XVIII
Both garbage cans are the same size. Can A can hold _____________ Can B. A. B. Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning more than less than the same as

38 Comments Comments Solution Answer: C
Justification: Can A and Can B are both the same size, and should be able to hold the same amount. Therefore Can A can hold the same as Can B. Although Can A seems to hold less because there are only 4 bags of garbage, Can B is over spilling and is not able to close the lid with 7 bags of garbage. A B.

39 Question Title Question Title Measurement: Volume XIX
Which jar below more accurately represents the amount of candies it can hold? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A. B.

40 Comments Comments Solution Answer: A
Justification: The objective is to hold the greatest amount without overspill. Therefore, the answer is A because it is filled yet not over spilling. It is not B because the candy are over spilling and cannot fit into the jar.

41 Question Title Question Title Measurement: Volume XX
Which jar below more accurately represents the amount of candy it can hold? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A. B.

42 Comments Comments Solution Answer: B
Justification: The objective is to hold the greatest amount. Therefore, the answer is B because it is filled yet not spilling over. It is not A because there is more room to fill up more candy.

43 Question Title Question Title Measurement: Volume XXI
Which jar can be filled up with more candy? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A B.

44 Comments Comments Solution Answer: B
Justification: Jar B is larger than Jar A. Therefore Jar B can hold more candy than Jar A. A. B.

45 Question Title Question Title Measurement: Volume XXII
Which jar has less candy to share with friends? Kindergarten Mathematics: C1: Use direct comparison to compare two objects based on a single attribute such as length (height), mass (weight), and volume (capacity) compare the volume (capacity) of two given objects and explain the comparison using the words less, more, bigger, smaller, or almost the same Grade 1 Mathematics: C1: Demonstrate an understanding of measurement as a process of comparing by making statements of comparison determine which of two or more given objects holds the most/least by filling and explain the reasoning A. B.

46 Comments Comments Solution Answer: A
Justification: Jar A is smaller than Jar B. Jar A holds less candy in comparison to Jar B. Therefore Jar A has less candy to share with friends. A. B.

47 Comments Comments Image References nicecliparts.com www.sanleandro.org
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