Download presentation

Presentation is loading. Please wait.

Published byVincent Marsh Modified over 2 years ago

1
Using Clicker Items to i.Deepen Understanding of Measurement Concepts ii.Foster Desirable Habits of Mind

2
Logging In Procedure 1. Turn-on your clicker 2. Wait until it says “Enter Student ID” (Enter your 5-digit ID) 3. The screen should display “ANS”

3
Suppose p kilometers is equal to q feet, where p and q are positive numbers. Which statement is correct? a. p > q b. p < q c. p = q d.None of the above Item 1

4
Suppose p kilometers is equal to q feet, where p and q are positive numbers. Which statement is correct? a. p > q b. p < q c. p = q d.None of the above Revote 1

5
Suppose p kilometers is equal to q feet, where p and q are positive numbers. Which statement is correct? a. p > q b. p < q c. p = q d.None of the above Fact:1 km 0.62 mile; 1 mile = 5280 feet HoM:Explore and generalize a pattern pq 13273.6 26547.2 1032736 Procedure:1 km 0.62 x 5280 feet = 3273.6 feet

6
Concept:Conservation (recognizing smaller units will produce larger counts) pq 13273.6 26547.2 1032736 HoM:Explore and generalize a pattern

7
? 1 wav 1 arro ? wavs ? arros Concept:Conservation (recognizing smaller units will produce larger counts)

8
1 wav 1 arro 3.7 wavs 7 arros Concept:Conservation (recognizing smaller units will produce larger counts) Concept:Measurement involves iterating a unit

9
1 wav 1 arro 3.7 wavs 9.6 arros Concept:Units must be consistent Concept:Inverse relationship between the size of a unit and the numerical count Concept:Measurement involves iterating a unit Concept:Conservation (recognizing smaller units will produce larger counts)

10
True or False: If the volume of a rectangular prism is known, then its surface area can be determined. Item 2

11
True or False: If the volume of a rectangular prism is known, then its surface area can be determined. Revote 2

12
True or False: If the volume of a rectangular prism is known, then its surface area can be determined. HoM: Reasoning with Change and Invariance Concept: Volume = Length Width Height

13
This misunderstanding appears to come from an incorrect over-generalization of the very special relationship that exists for a cube.” (NCTM, 2000, p. 242) “[S]ome students may hold the misconception that if the volume of a three-dimensional shape is known, then its surface area can be determined.

14
True or False: If the surface area of a sphere is known, then its volume can be determined. Item 3

15
True or False: If the surface area of a sphere is known, then its volume can be determined. Revote 3

16
True or False: HoM: Reasoning with Formulas Concept:A = 4 r 2 V = 4/3 r 3 If the surface area of a sphere is known, then its volume can be determined.

17
True or False: If the area of an equilateral triangle is known, then its perimeter can be determined. Item 4

18
True or False: If the area of an equilateral triangle is known, then its perimeter can be determined. Revote 4

19
L/2 L True or False: If the area of an equilateral triangle is known, then its perimeter can be determined. HoM: Reasoning with Relationships CU: Area = ½LH H L L = ½L [L 2 – (L/2) 2 ] 0.5 = ½L (0.75L 2 ) 0.5 = ½L (0.75) 0.5 L 0.433L 2

20
True or False: As we increase the perimeter of a rectangle, the area increases. Item 5

21
True or False: As we increase the perimeter of a rectangle, the area increases. Revote 5

22
True or False: As we increase the perimeter of a rectangle, the area increases. HoM: Seeking causality

23
True or False: As we increase the perimeter of a rectangle, the area increases. 8 m 4 m Concept:Perimeter = 2L + 2W ; Area = LW 16 m 2 m HoM: Seeking counter-example

24
True or False: As we increase the perimeter of a rectangle, the area increases. 8 m 4 m 12 m 2 m 16 m 1 m 20 m 0.5 m HoM: Reasoning with change and invariance Concept:Perimeter = 2L + 2W ; Area = LW

25
“While mixing up the terms for area and perimeter does not necessarily indicate a deeper conceptual confusion, it is common for middle-grades students to believe there is a direct relationship between the area and the perimeter of shapes and this belief is more difficult to change. In fact, increasing the perimeter of a shape can lead to a shape with a larger area, smaller are, or the same area.” (Driscoll, 2007, p. 83)

26
Consider this two-dimensional figure: 4 cm 10 cm 7 cm Note: Each corner is a right angle.

27
Consider this two-dimensional figure: Item 6 4 cm 10 cm 7 cm Which measurement can be determined? (A) Area only (B) Perimeter only (C) Both area and perimeter (D) Neither area nor perimeter Note: Each corner is a right angle.

28
Revote 6 Consider this two-dimensional figure: 4 cm 10 cm 7 cm Which measurement can be determined? (A) Area only (B) Perimeter only (C) Both area and perimeter (D) Neither area nor perimeter Note: Each corner is a right angle.

29
4 cm 10 cm 7 cm HoM: Reasoning with Change and Invariance

30
Consider this two-dimensional figure: Item 7 Which measurement can be determined? (A) Area only (B) Perimeter only (C) Both area and perimeter (D) Neither area nor perimeter 4 m 10 m 3 m Note: The two horizontal lines are parallel.

31
Revote 7 Consider this two-dimensional figure: Which measurement can be determined? (A) Area only (B) Perimeter only (C) Both area and perimeter (D) Neither area nor perimeter 4 m 10 m 3 m Note: The two horizontal lines are parallel.

32
Consider this two-dimensional figure: HoM: Reasoning with Change and Invariance 4 m Note: The two horizontal lines are parallel.

Similar presentations

OK

1 Three-Dimensional Geometry. Do now: What does 3-D mean? What are some 3-D objects you recognize in the room? 2.

1 Three-Dimensional Geometry. Do now: What does 3-D mean? What are some 3-D objects you recognize in the room? 2.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Knowledge based view ppt on iphone Ppt on current monetary and fiscal policy Free ppt on management of natural resources Ppt on save environment drawings Ppt on combination of resistances Ppt on types of production process Ppt on viruses and bacteria structure Ppt on reserve bank of india Ppt on industrial all risk policy Download ppt on number system for class 10