CPM Educational Program
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- Clarence Logan
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1 PRE-CALC. W/TRIG
2 Table of Contents General Tools... 3 Algebra Tiles (CPM)... 4 Desmos Graphing Calculator... 7 Chapter PCT 1.1.2: 1-14 & 1-20 Student etool...11 PCT 1.1.4: 1-43 & 1-44 Student etool...13 PCT 1.4.2: Unit Circle with Reference Triangles...14 Chapter Piecewise Functions for TI-84 and Desmos Videos...17 PC 2.1.1: 2-2 Student etool...18 PC 2.2.2: Sigma etool...19 PC 2.3.1: 2-64 Student etool...20 PC 2.3.2: 2-78 Student etool...21 PC 2.3.4: Student etool...22 PC 2.3.5: Student etool...23 PC 2.3.8: Student etool...25 Chapter PCT 3.1.1: 3-1 & 3-2 & 3-3 Student etools...27 PCT 3.2.3: 3-82 Student etool...30 Chapter PCT 4.1.3: Sine and Cosine Curves with Unit Circle (Desmos)...33
3 General Tools Page 3
4 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 4
5 3. Choose from a variety of different mats. Also choose from a variety of sizes to fit on various devices. Page 5
6 4. Choose from a variety of different tiles: Page 6
7 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 7
8 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 8
9 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 9
10 Chapter 1 Page 10
11 PCT 1.1.2: 1-14 & 1-20 Student etool Click on the link below for the "1-14 Student etool" PCT 1-14 Student etool (Desmos) PCT 1-20 Student etool (Desmos) 1. PCT 1-14 Student etool: Page 11
12 2. PCT 1-20 Student etool: Page 12
13 PCT 1.1.4: 1-43 & 1-44 Student etool Click on the link below for the "1-43 Student etool" PCT 1-43 Student etool (Desmos) PCT 1-44 Student etool (Desmos) 1. PCT 1-43 Student etool: 2. PCT 1-44 Student etool: Page 13
14 PCT 1.4.2: Unit Circle with Reference Triangles Click on the link below for the "Unit Circle with Reference Triangles" Unit Circle Demonstration etool (Desmos) 1. Click the circle in front the the radian or degrees for the reference triangle. Page 14
15 2. Displayed are both the 30 degree and the 45 degree reference triangles. 3. You can display one, several, or all of the reference triangles. Page 15
16 Chapter 2 Page 16
17 Piecewise Functions for TI-84 and Desmos Videos Click on the link below for the "Piecewise Functions for TI-84 and Desmos Videos" Piecewise Functions for TI-84 Video Piecewise Functions for Desmos Video 1. Mike Gaffney You Tube Video: 2. Desmos video: Page 17
18 PC 2.1.1: 2-2 Student etool Click on the link below for the "2-2 Student etool". 2-2 Student etool (Desmos) 1. PC 2-2 Student etool: Page 18
19 PC 2.2.2: Sigma etool Click on the link below for the "Sigma etool". Sigma etool (Desmos) 1. Modify the etool by: Typing in your functions Moving the sliders to adjust the upper and lower indices. Page 19
20 PC 2.3.1: 2-64 Student etool Click on the link below for the "2-64 Student etool" Student etool (Desmos) Student etool Page 20
21 PC 2.3.2: 2-78 Student etool Click on the link below for the "2-78 Student etool" Student etool (Desmos) 1. PC 2-78 Student etool Page 21
22 PC 2.3.4: Student etool Click on the link below Student etool (Desmos) PC Student etool: Page 22
23 PC 2.3.5: Student etool Click on the link below for the "2-120 Student etool" Student etool (Desmos) 1. Select among: Left-hand Rectangles Right-hand Rectangles Trapezoids 2. Left-hand Rectangles: Page 23
24 3. Right-hand Rectangles: 4. Trapezoids: Also: Select number of partitions Change Lower Bound Change Upper Bound Page 24
25 PC 2.3.8: Student etool Click on the link below for the "2-165 Student etool" Student etool (Desmos) Student etool Page 25
26 Chapter 3 Page 26
27 PCT 3.1.1: 3-1 & 3-2 & 3-3 Student etools Click on the link below. PCT 3-1 & 3-2 & 3-3 Student etool (Desmos) 1. PCT 3-1 & 3-2 & 3-3 Student etools: : The various parts are indicated below. Move the slider for various values of "k". Show/Hide the various parts by clicking the circle in front of each part. Page 27
28 3. 3-2: Page 28
29 has two functions associated with it. Page 29
30 PCT 3.2.3: 3-82 Student etool Click on the link below Student etool (Desmos) PCT 3-82 Student etool: Switch the x and y coordinates: Click the arrows to view the tables. Switch the x and y coordinates by typing in the new y-values. Page 30
31 Also view: y = x graph Logarithmic graph (Click the circles in front of each.) Page 31
32 Chapter 4 Page 32
33 PCT 4.1.3: Sine and Cosine Curves with Unit Circle (Desmos) Click on the links below. Sine Curve with Unit Circle (Desmos) Cosine Curve with Unit Circle (Desmos) 1. Sine Curve with Unit Circle: Move the Radian slider to show the graph. 2. Cosine Curve with Unit Circle: Move the Radian slider to show the graph. Page 33
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
GEOMETRY CONNECTIONS
GEOMETRY CONNECTIONS Table of Contents General Tools... 3 Algebra Tiles (CPM)... 4 Desmos Graphing Calculator... 7 Probability Tools (CPM)...10 Similarity Toolkit (CPM)...14 3D Blocks (CPM)...16 Shape
CC INTEGRATED 2 ETOOLS
CC INTEGRATED 2 ETOOLS Table of Contents General etools... 3 Algebra Tiles (CPM)... 4 Pattern Tile & Dot Tool (CPM)... 7 Similarity Toolkit (CPM)... 9 Probability Tools (CPM)...11 Desmos Graphing Calculator...15
CPM Educational Program
CC COURSE 3 ETOOLS 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
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
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