CC COURSE 1 ETOOLS - T

Transcription

1 CC COURSE 1 ETOOLS - T

2 Table of Contents General etools... 5 Algebra Tiles (CPM)... 6 Pattern Tile & Dot Tool (CPM)... 9 Area and Perimeter (CPM)...11 Base Ten Blocks (CPM) /- Tiles & Number Lines (CPM)...16 Table Tool (CPM)...18 Data Representations (CPM)...20 Desmos Graphing Calculator...22 Chapter CC : 1-7 Figure Student etools (CPM)...26 CC : 1-15 Student etool (CPM)...30 CC : 1-15 Answer etool (CPM)...31 CC : 1-18 Student etool (CPM)...32 CC : 1-18 Answer etool (CPM)...33 CC : Frog Jumping Contest Video...34 CC : 1-56 Student etool (CPM)...35 CC : 1-56 Answer etool (CPM)...36 CC : 1-73 Student etool (CPM)...37 Chapter CC Student etool (CPM)...40 CC : 2-33 Student etool (CPM)...41 CC : 2-33 Answer etool (CPM)...42 CC : 2-43a Answer etool (CPM)...43 CC : 2-43a & 2-43b Student etools (CPM)...44 Chapter CC : 3-36 Student etool (CPM)...46 CC : 3-90 Student etool (CPM)...47 CC : 3-90 Teacher etool Video (CPM)...48 CC : Frog Race Video...49

3 CC : Student etool (CPM)...51 CC : Answer etool (CPM)...52 CC : Student etool (CPM)...53 CC : Answer etool (CPM)...54 CC : Student etool (Desmos)...55 CC : Answer etool (Desmos)...56 Chapter CC : ShowMe 4-12 Teacher Video...58 CC : 4-12 Student etool (CPM)...60 Chapter CC : 5-76 Shape 1-8 Student etools...62 CC : 5-78 Student etool...67 CC : 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos)...68 CC : 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos)...70 CC : 5-96 Trapezoid Decomposer - Method 2 Student etool (Desmos)...72 Chapter CC : 6-82 & 6-83 Student etools (CPM)...75 CC Student etool (CPM)...78 CC : 6-94 Student etool (CPM)...79 CC : 6-94 Answer etools (CPM)...80 CC : Figures Teacher etools (Desmos)...81 Chapter CC Student etool (Desmos)...84 CC : 7-15 Answer etool (Desmos)...85 Chapter CC : & 2000 Data Answer etool (Desmos)...87 CC : 8-61 Teacher etool (Desmos)...88 CC : 8-61 Answer etool (Desmos)...89 CC : 8-84 and 8-86 Student etools (Desmos)...90 Chapter CC : 9-1 3D Video...92

4 CC : Cube Cutting Video...93 CC : Net Demo Video...95

5 General etools Page 5

6 Algebra Tiles (CPM) This tutorial describes how to use the Algebra Tiles including additional features. Click on the "Algebra Tiles" link below. Algebra Tiles (CPM) 1. The top bar has three main parts: Gear Icon, '?' Icon, and the Arrow Icon. Select the Gear Icon to: Add notes and Title Save file. Select the '?' icon for directions. Select the Arrow Icon at the right to open and close the tray. 2. Drag tiles from the tray at the left to the display area at the right. Use the sliders in the tray to change the size of the tiles. Double click tiles to change orientation (horizontal/vertical). Click on a tile once to change the sign (+ ). Page 6

7 3. Choose from a variety of different mats. Also choose from a variety of sizes to fit on various devices. Page 7

8 4. Choose from a variety of different tiles: Page 8

9 Pattern Tile & Dot Tool (CPM) Click on the link below. Pattern Tile & Dot Tool 1. Drag tiles from the tray to the Display area. Add tiles and copy and paste them to the display area. Select all tiles and drag to the tray to remove the tiles. 2. Textboxes and Dots Located in the General Tools Drag out and choose border/no border and color. Double click to rotate. Click to add text. Page 9

10 Page 10

11 Area and Perimeter (CPM) Click on the "Area Tiles & Toothpicks" link below. Area and Perimeter (CPM) 1. Drag the tiles and toothpicks to the display area. Double click toothpicks to rotate. 2. Toothpicks Drag an arrow to the display area. Choose a "rounded" end for both ends to get a toothpick Choose the color. Double click to rotate. Drag to move. Page 11

12 3. Dim Area showing the perimeter more sharply. 4. In the Gear Menu, under Options: Add a title. Add a description Enable the tray and/or various menu items. Page 12

13 Page 13

14 Base Ten Blocks (CPM) Use this tool for percents and counting out of one hundred. Click on the "Quantity Explorations" link below. Base Ten Blocks (CPM) 1. Drag Base Ten Blocks from the tray to the display area. You can overlap them. They will snap to the grid. 2. Double click to rotate: Page 14

15 3. Textbox: Open General Tools. Drag "Text" to the display area. Choose border/no border Choose color. Double click to rotate. Drag to position. Page 15

16 +/- Tiles & Number Lines (CPM) Click on the "+/1 Tiles & Number Lines" link below. +/- Tiles & Number Lines (CPM) 1. Drag either the Large scale or the small scale to the display area. You can only choose one scale for each app. Drag + or tiles to the display area. 2. To add titles, drag the Drag the number line to the display area. Drag the arrows at either end to enlarge On Step, click the "+" or the "-" to change the step! Drag the number line to posiiton. Page 16

17 3. Add arrows or Text: Page 17

18 Table Tool (CPM) CPM Table etool 1. CPM Table etool Find patterns Highlight cells Highlight rows 2. Highlight Click on a row or column and highlight. Click on a cell and choose the color. Page 18

19 Page 19

20 Data Representations (CPM) Click the link below for CPM Data Representations" CPM Data Representations 1. CPM Data Representations: Type in up to two sets of data into the columns under the Data Sets tab. Click the wrench to sort or change the graph color. Click the Data Sets arrow to hide the data. 2. Single-Variable Statistics or the Stem and leaf Plots: When choosing Single-Variable Statistics or the Stem and Leaf Plots from the left tray, the data/plot(s) show from the right. Unclick from the left to close the trays at right. Page 20

21 3. Box Plots Note: Use the zoom in and out buttons at the upper right to position the histograms in a friendly window. On a computer, you can use the mouse wheel. On a tablet, use two fingers to pinch or spread data. Page 21

22 Desmos Graphing Calculator This free graphing calculator allows students to create a free account to save all of their graphs, animations, and projects created. Click on the "Desmos Graphing Calculator" link below. Desmos Graphing Calculator 1. Click on all of the buttons. Try it out! For extra help, click the "?". 2. Click on the interactive tours below for help to create: Sliders Tables Advanced Tables Restrictions Page 22

23 3. The interactive tours will NOT let you make a mistake! Try the links above! 4. Need additional help? Watch these very short excellent videos! Desmos Introduction Moveable Points Graph Inequalities Piece-Wise Function Page 23

24 5. The video links will help you with many of your graphing projects! 6. If you still need help, check out Desmos "Knowledge Base" Desmos Knowledge Base Page 24

25 Chapter 1 Page 25

26 CC : 1-7 Figure Student etools (CPM) Tools for 1-7 Figures A, B, C, D, and E are included. Click the links below for the 1-7 Figure Student etools (CPM)." 1-7 Figure A Student etool(cpm), 1-7 Figure B Student etool(cpm), 1-7 Figure C Student etool(cpm), 1-7 Figure D Student etool(cpm), 1-7 Figure E Student etool(cpm) 1. Use the facts below and your team to assign each fact to a Figure. Each team member clicks on one of the figure number above not showing it to anyone else. By describing your figure to others in your team, decide which fact goes with each figure. 2. Collaborative Learning Expectations Page 26

27 3. CC1 1-7 Figure A Student etool: 4. CC1 1-7 Figure B Student etool: Page 27

28 5. CC1 1-7 Figure C Student etool: 6. CC1 1-7 Figure D Student etool: Page 28

29 7. CC1 1-7 Figure E Student etool: Page 29

30 CC : 1-15 Student etool (CPM) Show patterns to build from one figure # to the next consecutive figure # Student etool (CPM) 1. CC Student etool: Use the textbox to write the patterns you found. Drag dots to the display area to color code your ideas. 2. One pattern might be to have three vertical dots colored red while two vertical dots are colored blue. How does this relate to the figure#? Page 30

31 CC : 1-15 Answer etool (CPM) This tool shows one of many possible patterns for the configuration of dots in Answer etool (CPM) 1. One possible way of showing the pattern of dots is described below. Page 31

32 CC : 1-18 Student etool (CPM) Click on the "1-18 Student etool (CPM)" link below Student etool Dots (CPM) 1. Create figures 4 and 5 showing the pattern of growth using various colored dots. Page 32

33 CC : 1-18 Answer etool (CPM) Click on the "1-18 Answer etool (CPM)" link below Answer etool (CPM) 1. A possible answer is shown below. Use the tool to show other ways to show the pattern growth from one figure to another. Page 33

34 CC : Frog Jumping Contest Video Click on the Video link below to view the Frog Jumping Contest. Frog Jumping at Calaveras County 1. Frogs are given three jumps. The frog with the longest distance wins! Page 34

35 CC : 1-56 Student etool (CPM) Click on the "1-56 Student etool (CPM)" link below Student etool (CPM) 1. Use the tools to show various numerical ways to show the figure below. Drag the Text box to label each one. Text Box: Drag to the display area. Click once to type in the label. Click twice to rotate the label. 2. Students find as many numerical ways they can draw the figure above. Below is one example. Page 35

36 CC : 1-56 Answer etool (CPM) Click on the "1-56 Answer etool (CPM)" link below Answer etool (CPM) 1. Below are possible patterns. Students may find more. Page 36

37 CC : 1-73 Student etool (CPM) Click the "1-73 Student etool (CPM)" link below Student etool 1. Fill the empty cells with the correct number by finding a pattern of numbers. 2. To change the color of a cell, click the cell and choose a color. Page 37

38 3. Answer: Students type in their answers. Click the cell again to change the color Page 38

39 Chapter 2 Page 39

40 CC Student etool (CPM) Click the link below for the "2-13 Student etool (CPM)" Student etool (CPM) Page 40

41 CC : 2-33 Student etool (CPM) Click the link on below for the 2-33 Student etool (CPM)." 2-33 Student etool (CPM) 1. Use the area tiles and color to illustrate two ways to find area. Page 41

42 CC : 2-33 Answer etool (CPM) Click on the link below Answer (CPM) Various ways students may calculate the area of the figure. Page 42

43 CC : 2-43a Answer etool (CPM) Click on the link below. 2-43a Answer (CPM) 1. Various ways students may calculate the area of the figure. Page 43

44 CC : 2-43a & 2-43b Student etools (CPM) Click on the links below. 2-43a Student etool (CPM) 2-43b Student etool (CPM) 2-43a Student etool: 2-43b Student etool: Page 44

45 Chapter 3 Page 45

46 CC : 3-36 Student etool (CPM) Click the link below to access the etool: 3-36 Student etool (CPM) Use the Base Ten Block etool to solve the problem. Shade the 100's block by dragging a red block from the General Tools over the desired portion. You can also change the color or even add grid lines to your shading. Page 46

47 CC : 3-90 Student etool (CPM) Click the link on below for the 3-90 Student etool (CPM)." 3-90 Student etool (CPM) 1. Using the colored arrows, record the frog's movements. Page 47

48 CC : 3-90 Teacher etool Video (CPM) This video is to support CC : 3-90 Student etool. You may want to project this video to the class or review yourself on how to use the etool. Click the link below for the "3-90 Teacher etool Video (CPM)" Teacher etool Video Page 48

49 CC : Frog Race Video Click the link on below for the Frog Race Video" Frog Race 1. What numbers will both frogs land on? Page 49

50 2. How can you know what will be the next number? Page 50

51 CC : Student etool (CPM) Click the link on below for the Student etool (CPM)." Student etool (CPM) 1. Use the colored dots and arrows to help you keep track of your ideas. 2. Your work may look like the example below. Page 51

52 CC : Answer etool (CPM) Click the link on below for the Answer etool (CPM)." Answer etool (CPM) 1. Possible set of illustrations. Students may approach the problems differently! Page 52

53 CC : Student etool (CPM) Click the link on below for the Student etool (CPM)." Student etool (CPM) 1. Use the colored dots and arrows to help you keep track of your ideas. 2. Your work may look like the example below. Page 53

54 CC : Answer etool (CPM) Click the link on below for the Answer etool (CPM)." Answer etool (CPM) 1. Possible set of illustrations. Students may approach the problems differently! Page 54

55 CC : Student etool (Desmos) Click the link on below for the Student etool (Desmos)" Student etool (Desmos) 1. Using the diagram, answer a-c. You can save your work digitally or use the etool to explore ideas writing your final version on graph paper. Page 55

56 CC : Answer etool (Desmos) Click the link on below for the Answer etool (Desmos)." Answer etool (Desmos) 1. Table and drawing. Page 56

57 Chapter 4 Page 57

58 CC : ShowMe 4-12 Teacher Video Click the link on below for the ShowMe 4-12 Video" ShowMe 4-12 (Video) 1. This video shows a variety of methods students may have used to calculate the number of tiles in a frame. The list is NOT complete! Students may come up with additional methods. Page 58

59 2. Possible methods: Page 59

60 CC : 4-12 Student etool (CPM) Click the link on below for the 4-12 Student etool (CPM)." 4-12 Student etool (CPM) 1. Use the portion tiles and/or the arrows to show your ideas. 2. Area Tiles Drag RED tile from the tray to the display area. Drag the double arrow to enlarge in either direction. Change color. Drag to position. Page 60

61 Chapter 5 Page 61

62 CC : 5-76 Shape 1-8 Student etools Click on the line below for the 5-76 Shape Student etool Shape 1 Student etool (Desmos) 5-76 Shape 2 Student etool (Desmos) 5-76 Shape 3 Student etool (Desmos) 5-76 Shape 4 Student etool (Desmos) 5-76 Shape 5 Student etool (Desmos) 5-76 Shape 6 Student etool (Desmos) 5-76 Shape 7 Student etool (Desmos) 5-76 Shape 8 Student etool (Desmos) 5-76 Shape 1 Student etool Page 62

63 5-76 Shape 2 Student etool 5-76 Shape 3 Student etool Page 63

64 5-76 Shape 4 Student etool 5-76 Shape 5 Student etool Page 64

65 5-76 Shape 6 Student etool 5-76 Shape 7 Student etool Page 65

66 5-76 Shape 8 Student etool Page 66

67 CC : 5-78 Student etool Click on the line below for the CC Student etool. CC Student etool (Desmos) CC Student etool (Desmos) Page 67

68 CC : 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Click on the line below for the 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Trapezoid Decomposer - Method 1 Student etool (Desmos) 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Bottom half of each of the side triangles are rotated up to form a rectangle. Top half where the parallel sides are at the top and bottom is rotated downward to form a parallelogram. Page 68

69 Page 69

70 CC : 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Click on the line below for the 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Trapezoid Decomposer - Method 1 Student etool (Desmos) 5-96 Trapezoid Decomposer - Method 1 Student etool (Desmos) Bottom half of each of the side triangles are rotated up to form a rectangle. Top half where the parallel sides are at the top and bottom is rotated downward to form a parallelogram. Page 70

71 Page 71

72 CC : 5-96 Trapezoid Decomposer - Method 2 Student etool (Desmos) Click on the line below for the 5-96 Trapezoid Decomposer - Method 2 Student etool (Desmos) Trapezoid Decomposer - Method 2 Student etool (Desmos) 5-96 Trapezoid Decomposer - Method 2 Student etool (Desmos) Rotate the ORANGE dot to create a rotated duplicate of the trapezoid. Then move the blue dot to translate the blue outlined trapezoid to fit next to the shaded trapezoid.now you have doubled the area in creating a parallelogram. Page 72

73 Page 73

74 Chapter 6 Page 74

75 CC : 6-82 & 6-83 Student etools (CPM) Click the link on below for the 6-82 Student etool (CPM) Student etool (CPM) 6-83a Student etool (CPM) 6-83b Student etool (CPM) 6-83c Student etool (CPM) Student etool (CPM): Page 75

76 a Student etool (CPM): b Student etool (CPM): Page 76

77 c Student etool (CPM): Page 77

78 CC Student etool (CPM) Click the link on below for the 6-84 Student etool (CPM) Student etool (CPM) 6-84 Student etool (CPM) Page 78

79 CC : 6-94 Student etool (CPM) Click the link on below for the 6-94 Student etool (CPM) Student etool (CPM) : Page 79

80 CC : 6-94 Answer etools (CPM) Click the link on below for the 6-94 Answer etools (CPM)." 6-94 Answer etool (CPM) : Page 80

81 CC : Figures Teacher etools (Desmos) Click the link on below for the Figures Teacher etools (Desmos)." Figure 1 Teacher etool (Desmos) Figure 2 Teacher etool (Desmos) Figure 3 Teacher etool (Desmos) Figure 1: Figure 2: Page 81

82 Figure 3: Page 82

83 Chapter 7 Page 83

84 CC Student etool (Desmos) Click on the line below for the 7-15 Student etool (Desmos) Student etool (Desmos) 7-15 Student etool (Desmos) Page 84

85 CC : 7-15 Answer etool (Desmos) Click the link on below for the 7-15 Answer etool (Desmos)." 7-15 Answer etool (Desmos) Answer etool Page 85

86 Chapter 8 Page 86

87 CC : & 2000 Data Answer etool (Desmos) Click the link on below for the & 2000 Answer etool (Desmos)." Data Answer etool (Desmos) Data Answer etool (Desmos) Data Answer etool Data Answer etool Page 87

88 CC : 8-61 Teacher etool (Desmos) Click the link on below for the 8-61 Teacher etool (Desmos)." 8-61 Teacher etool (Desmos) Teacher etool 1. Drag handles to position the box plot. 2. Drag upward to create a histogram 3. Click the table and add data. Page 88

89 CC : 8-61 Answer etool (Desmos) Click the link on below for the 8-61 Answer etool (Desmos)." 8-61 Answer etool (Desmos) Answer etool Page 89

90 CC : 8-84 and 8-86 Student etools (Desmos) Click the links below for the 8-84 and 8-86 Student etools (Desmos)." 8-84 Student etool (Desmos) 8-86 Student etool (Desmos) a a Page 90

91 Chapter 9 Page 91

92 CC : 9-1 3D Video The video shows the object in 3-D space. Click the link on below for the 9-1 3D Video" 9-1 Video 1. Screen shot: 2. Screen shot: Page 92

93 CC : Cube Cutting Video Click the link on below for the Cube Cutting Video" Cube Cutting Video 1. Screen Shot: Page 93

94 2. Screen Shot: 3. Screen Shot: Page 94

95 CC : Net Demo Video Click the link on below for the Net Demo Video" Net Demo 1. Screen Shot: 2. Screen Shot: Page 95

96 3. Screen Shot: Page 96