CPM Educational Program
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1 CC COURSE 3 ETOOLS
2 Table of Contents General etools... 4 Algebra Tiles (CPM)... 5 Pattern Tile & Dot Tool (CPM)... 8 Base Ten Blocks (CPM)...10 Area and Perimeter (CPM)...12 Desmos Graphing Calculator...15 Data Representations (CPM)...18 Rigid Transformations etool (CPM)...20 Chapter CC : 1-9 Student etool (CPM)...24 CC : 1-10 Student etool (CPM)...25 CC Student etool (Desmos)...26 CC : Newton's Revenge Student etool (Desmos)...27 CC : 1-42 Student etool (Desmos)...28 Chapter CC : 2-36 Student etool (CPM)...31 CC : 2-47, 2-49a & 2-49b tiles (CPM)...32 CC : 2-56a-f & 2-57 tiles (CPM)...34 CC : 2-64, 2-65, 2-66a & 2-66b tiles (CPM)...38 CC : 2-72a & 2-74a tiles (CPM)...41 CC : 2-82a-c tiles (CPM)...42 Chapter CC : 3-1a & 3-1b Student etool (CPM)...45 CC : Redwoods: The Tallest Trees Video...47 CC : John's Giant Redwood Student etool (Desmos)...48 CC : 3-18, 3-19 to 3-22 Student etool (CPM & Desmos)...49 CC : 3-70 Student etool (CPM)...51 Chapter CC : 4-12, 4-13a&b, 4-15 Student etool (CPM)...54 CC : 4-22 Student etool (Desmos)...57
3 Chapter CC : 5-2b tiles (CPM)...60 CC : Iditarod- Checkpoints Video...61 CC : 5-23 Student etool (Desmos)...64 CC : 5-42 Student etool (CPM)...65 Chapter CC : Key-Lock Puzzle (CPM)...67 CC : Transformation Challenge 1 & 2 (CPM)...71 CC : 6-18 Student etool (Desmos)...72 CC : 6-43 Student etool (Desmos)...73 CC : 6-52, 6-53 & 6-56 Student etool (Desmos)...74 Chapter CC : 7-15 Student etool (Desmos)...77 CC : 7-43 Student etool (Desmos)...78 CC : 7-56 & 7-59 Student etool (Desmos)...79 Chapter CC : 8-2 & 8-3 Student etool (Desmos)...82 CC : 8-14 Student etool (Desmos)...84 CC : Powers of Ten Film...85 Chapter CC : Triangle Sum Theorem (Desmos)...88 CC : 9-85 Student etool (Desmos)...89 CC : ShowMe video...90 CC : 3D Model Box (CPM)...92 CC : Pythagorean Proof Video...94 Chapter CC : Volume of a Pyramid Video...98 CC : Volume of a Cone CC : Volume of a Sphere...103
4 General etools Page 4
5 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 5
6 3. Choose from a variety of different mats. Also choose from a variety of sizes to fit on various devices. Page 6
7 4. Choose from a variety of different tiles: Page 7
8 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 8
9 Page 9
10 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. Page 10
11 2. Double click to rotate: 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 11
12 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 12
13 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 13
14 Page 14
15 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 15
16 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 16
17 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 17
18 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 18
19 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 19
20 Rigid Transformations etool (CPM) This etool will record the steps you create showing translation, rotation, and reflection. Click on the first link for the etool. Click on the video links to view the use of the etool. Twelve games using the key lock are also available. This tool is designed so that teachers/students can create many more games. Rigid Transformations Using RT Tool Creating an RT Puzzle 1. Steps are shown in the Tray at the left while the action occurs in the Display Area at the right. Page 20
21 2. When playing, active steps are highlighted. 3. In the gear menu, you can create puzzles, clear, or save your projects. Page 21
22 4. Check the "?" for more help or watch the videos above. Page 22
23 Chapter 1 Page 23
24 CC : 1-9 Student etool (CPM) Click on the link below for the "1-9 Student etool (CPM)." 1-9 Student etool (CPM) 1. Drag the tiles from the tray to build Figures 1 and 5. Page 24
25 CC : 1-10 Student etool (CPM) Click on the link below for the "1-10 Student etool (CPM)." 1-10 Student etool (CPM) 1. Build Figures 1 & 5 by dragging tiles from the tray. Page 25
26 CC Student etool (Desmos) Click on the link below. CC Student etool (Desmos) 1. CC Page 26
27 CC : Newton's Revenge Student etool (Desmos) Click on the link below for the "Newton's Revenge Student etool (Desmos)." Newton's Revenge Student etool 1. Add data to the table. 2. Drag the moveable line to show a trend in the data. The slope is indicated in the tray at the left. Page 27
28 CC : 1-42 Student etool (Desmos) Click on the link below for the "1-42 Student etool (Desmos)." 1-42 Student etool 1. Add data to the table. Page 28
29 2. Click the purple circle to view Johnny's graph. Page 29
30 Chapter 2 Page 30
31 CC : 2-36 Student etool (CPM) Click on the link below for the 2-36 Student etool (CPM)." 2-36 Student etool (CPM) 1. CC Student etool: Page 31
32 CC : 2-47, 2-49a & 2-49b tiles (CPM) Click on the link below for the 2-47, 2-49a & 2-49b tiles (CPM)." 2-47 tiles (CPM) 2-49a (CPM) 2-49b (CPM) 1. CC3 Lesson : 2. CC3 Lesson a: Page 32
33 3. CC3 Lesson b: Page 33
34 CC : 2-56a-f & 2-57 tiles (CPM) Click on the link below for the 2-56a-f & 2-57 tiles (CPM)." 2-56a (CPM) 2-56b (CPM) 2-56c (CPM) 2-56d (CPM) 2-56e (CPM) 2-56f (CPM) 2-57 tiles (CPM) 1. CC3 Lesson a: Page 34
35 2. CC3 Lesson b: 3. CC3 Lesson c: Page 35
36 4. CC3 Lesson d: 5. CC3 Lesson e: Page 36
37 6. CC3 Lesson f: 7. CC3 Lesson : Page 37
38 CC : 2-64, 2-65, 2-66a & 2-66b tiles (CPM) Click on the link below for the 2-64, 2-65, 2-66a & 2-66b tiles (CPM)." 2-64 tiles (CPM) 2-65 tiles (CPM) 2-66a tiles (CPM) 2-66b tiles (CPM) 1. CC3 Lesson : Page 38
39 2. CC3 Lesson : 3. CC3 Lesson a: Page 39
40 4. CC3 Lesson b: Page 40
41 CC : 2-72a & 2-74a tiles (CPM) Click on the link below for the 2-72a & 2-74a tiles (CPM)." 2-72a tiles (CPM) 2-74a tiles (CPM) 1. CC3 Lesson a: 2. CC3 Lesson a: Page 41
42 CC : 2-82a-c tiles (CPM) Click on the link below for the 2-82a-c tiles (CPM)." 2-82a (CPM) 2-82b (CPM) 2-82c (CPM) 1. CC3 Lesson a: Page 42
43 2. CC3 Lesson b: 3. CC3 Lesson c: Page 43
44 Chapter 3 Page 44
45 CC : 3-1a & 3-1b Student etool (CPM) Click on the link below for the 3-1a & 3-1b Student etool (CPM)." 3-1a Student etool (CPM) 3-1b Student etool (CPM) 1. CC3 3-1a: Create figures 1 and 5. Move the text boxes to a better location. 2. CC3 3-1b: Create figures 1 and 5. Move the text boxes to a better location. Page 45
46 Page 46
47 CC : Redwoods: The Tallest Trees Video Click on the link below for the Redwoods: The Tallest Trees Video" Redwoods: The Tallest Trees 1. This short video shows the extent some redwood trees can grow. 2. The video also shows how scientists go about measuring the height. Page 47
48 CC : John's Giant Redwood Student etool (Desmos) Click on the link below for the John's Giant Redwood Student etool (Desmos)." John's Giant Redwood Student etool (Desmos) 1. Complete the table. Then type in the rule that goes through the points. Page 48
49 CC : 3-18, 3-19 to 3-22 Student etool (CPM & Desmos) Click on the links below Student etool (CPM) 3-19 to 3-22 Student etool (Desmos) 1. Drag tiles to create Figure 0 and Figure 4. Page 49
50 2. Complete the table finding a rule that goes through the points. Page 50
51 CC : 3-70 Student etool (CPM) Click on the link below for the 3-70 Student etool (CPM)." 3-70 Student etool (CPM) 1. CC Student etool: 2. Record each step. Example below: Add a 2x to both sides. Page 51
52 Page 52
53 Chapter 4 Page 53
54 CC : 4-12, 4-13a&b, 4-15 Student etool (CPM) Click on the links below Student etool (CPM) 4-13a Student etool (CPM) 4-13b Student etool (CPM) 4-15 Student etool (CPM) 1. CC Student etool: Page 54
55 2. CC3 4-13a Student etool: 3. CC3 4-13b Student etool: Page 55
56 4. CC Student etool: Page 56
57 CC : 4-22 Student etool (Desmos) Click on the link below for the 4-22 Student etool (Desmos)." 4-22 Student etool (Desmos) 1. CC Student etool: Click the arrows to view the table and rule. Page 57
58 2. Complete the tables and the rules. 3. When completing the table, data points appear on the graph. The function will appear as it is typed. Page 58
59 Chapter 5 Page 59
60 CC : 5-2b tiles (CPM) Click on the link below for the 5-2b tiles (CPM)." 5-2b tiles (CPM) 1. CC3 5-2b Student etool: Page 60
61 CC : Iditarod- Checkpoints Video Click on the link below for the Iditarod-Checkpoints Video" Iditarod-Checkpoints 1. Iditarod-Checkpoints Video: 2:49 minutes long Page 61
62 2. The map continues to Nome! 3. Volunteers man the checkpoints recording time. Page 62
63 4. Preparation for the trip: Page 63
64 CC : 5-23 Student etool (Desmos) Click on the link below for the 5-23 Student etool (Desmos)." CC Student etool (Desmos) 1. Explore math concepts using this etool: Page 64
65 CC : 5-42 Student etool (CPM) Click on the link below for the 5-42 Student etool (CPM)." 5-42 Student etool (CPM) 1. Record all steps while solving for the value of "x". Page 65
66 Chapter 6 Page 66
67 CC : Key-Lock Puzzle (CPM) Click on the links below. Key-Lock Puzzle (CPM) Intro1; Intro2; Intro3; Intro4 Wall1; Wall2; Wall3; Wall4 Star1; Star2; Star3; Star4 Challenge 1 Challenge 2 Using RT Tool Creating an RT Puzzle 1. Key-Lock Puzzle: Choose between triangle and key. Click the Gear to create puzzles and save. Page 67
68 2. The left tray records all rigid transformation steps! 3. Intro Problems: Drag to translate (or) Click on the translate button in the tray. Choose the desired translation. Click the "?" for complete instructions. Page 68
69 4. When the key is placed in the key hole correctly, the student is congratulated! 5. Wall problems: Each of these have at least one wall which cannot be bumped or crossed. Page 69
70 6. Star Problems: Page 70
71 CC : Transformation Challenge 1 & 2 (CPM) Click on the links below. Challenge 1 (CPM) Challenge 2 (CPM) 1. Challenge 1: 2. Challenge 2: Page 71
72 CC : 6-18 Student etool (Desmos) Click on the link below etool (Desmos) 1. Move the sliders to translate. Page 72
73 CC : 6-43 Student etool (Desmos) Click on the link below: 6-43 Student etool (Desmos) Student etool: Click each arrow below to access the table. 2. Add points in the table. Click below to continue to add points. Page 73
74 CC : 6-52, 6-53 & 6-56 Student etool (Desmos) Click on the links below Student etool (Desmos) 6-53 Student etool (Desmos) 6-56 Student etool (Desmos) 1. CC Student etool: Type in the coordinates for the vertices of the original quadrilateral in the table below. What do you notice? Page 74
75 2. CC CC Page 75
76 Chapter 7 Page 76
77 CC : 7-15 Student etool (Desmos) Click on the link below Student etool (Desmos) 1. Input data points and answer 7-15 parts a-f. Page 77
78 CC : 7-43 Student etool (Desmos) Click on the link below for the 7-43 Student etool (Desmos)." 7-43 Student etool (Desmos) 1. The key below describes each bicyclist's color. Page 78
79 CC : 7-56 & 7-59 Student etool (Desmos) Click on the links below Student etool (Desmos) 7-59 Student etool (Desmos) 1. CC3 7-55: Find the slopes for slope triangles, A, B, & C. Page 79
80 2. CC3 7-59: Which graphs have the same slope. How do you know? Page 80
81 Chapter 8 Page 81
82 CC : 8-2 & 8-3 Student etool (Desmos) Click on the links below. 8-2 Student etool (Desmos) 8-3 Student etool (Desmos) Student etool: Page 82
83 Student etool: Page 83
84 CC : 8-14 Student etool (Desmos) Click on the link below for the 8-14 Student etool (Desmos)." 8-14 Student etool (Desmos) Student etool: Page 84
85 CC : Powers of Ten Film Click on the link below for the Powers of Ten Film" Powers of Ten Film 1. Title: Page 85
86 2. The film shows powers of 10 going away from an object. 3. The film shows powers of ten getting closer to an object. Page 86
87 Chapter 9 Page 87
88 CC : Triangle Sum Theorem (Desmos) Click on the link below. Triangle Sum Theorem (Desmos) 1. Drag the colored angles about to change values. Note the measurements are at the left. 2. Press the "Show Parallel Lines" button to show angles that are the same. Page 88
89 CC : 9-85 Student etool (Desmos) Click on the link below for the 9-85 Student etool (Desmos)" on graphing the side vs area of a square Student etool (Desmos) 1. CC Student etool: Page 89
90 CC : ShowMe video Click on the link below for the ShowMe video" CC ShowMe video 1. Setup: Page 90
91 2. Removing the repeating part: 3. Finding the fraction equivalent: Page 91
92 CC : 3D Model Box (CPM) Click on the link below for the 3D Model Box (CPM)." 3D Model Box (CPM) 1. Click on the box and drag. Page 92
93 2. Drag the box until you have viewed all sides including the views from the top and bottom. Page 93
94 CC : Pythagorean Proof Video Click on the link below for the Pythagorean Proof Video" Pythagorean Proof Video (Vimeo) 1. Question: Page 94
95 2. Screen shot: 3. Screen shot: Page 95
96 4. Screen shot: Page 96
97 Chapter 10 Page 97
98 CC : Volume of a Pyramid Video Click on the link below for the Volume of a Pyramid Video" Volume of a Pyramid (Vimeo) Volume of a Pyramid (YouTube) 1. First Video Question: Page 98
99 2. Screen Shot: 3. Second Video Demo: Page 99
100 4. Screen shot: Page 100
101 CC : Volume of a Cone Click on the link below for the Volume of a Cone" Volume of a Cone (YouTube) 1. Volume of a Cone Demo: Page 101
102 2. Screen shot: Page 102
103 CC : Volume of a Sphere Click on the link below for the Volume of a Sphere" Volume of a Sphere (Vimeo) Volume of a Sphere (YouTube) 1. First Video Question: Page 103
104 2. Screen shot: 3. Second Video Demo: Page 104
105 4. Screen shot: Page 105
CPM Educational Program
ALGEBRA CONNECTIONS Table of Contents General Tools... 4 Algebra Tiles (CPM)... 5 Desmos Graphing Calculator... 7 Pattern Tile & Dot Tool (CPM)... 9 Data Representations (CPM)...10 Chapter 1...12 AC 1.1.2:
CPM Educational Program
ALGEBRA CONNECTIONS Table of Contents General Tools... 3 Algebra Tiles (CPM)... 4 Desmos Graphing Calculator... 7 Pattern Tile & Dot Tool (CPM)...10 Data Representations (CPM)...12 Chapter 1...14 AC 1.1.2:
CPM Educational Program
CC COURSE 1 ETOOLS Table of Contents General etools... 4 Algebra Tiles (CPM)... 5 Pattern Tile & Dot Tool (CPM)... 8 Area and Perimeter (CPM)...10 +/- Tiles & Number Lines (CPM)...13 Base Ten Blocks (CPM)...15
MAKING CONNECTIONS 1
MAKING CONNECTIONS 1 Table of Contents General Tools... 3 Algebra Tiles (CPM)... 4 Desmos Graphing Calculator... 7 Pattern Tile & Dot Tool (CPM)...10 Area and Perimeter (CPM)...12 Base Ten Blocks (CPM)...15
CPM Educational Program
CC COURSE 2 ETOOLS 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)...14 +/- Tiles & Number Lines (CPM)...16
CC INTEGRATED 2 ETOOLS
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