MAKING CONNECTIONS 1

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1 MAKING CONNECTIONS 1

2 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) /- Tiles & Number Lines (CPM)...17 Data Representations (CPM)...19 Probability Tools (CPM)...21 Chapter MC : Color-Rama (CPM)...26 MC : 1-18 & 1-21 Student etools (CPM)...27 MC : 1-62 Student etool (CPM)...28 Chapter Acrobat Number Line (CPM)...30 MC : 2-73 Student etool (CPM)...33 MC : Number Cubes (CPM)...34 Chapter MC : 3-37 Student etool (CPM)...36 MC : 3-47a Answer etool (CPM)...37 MC : 3-89 & 3-90 Student etools (CPM)...38 MC : Tug-O-War (CPM)...40

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 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 10

11 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 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 15

16 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 16

17 +/- 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 17

18 3. Add arrows or Text: Page 18

19 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 19

20 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 20

21 Probability Tools (CPM) Click on the link below. Probability Tools (CPM) 1. Spinners: Drag one or more spinners to the board. Resize the spinners. Choose color, number of sections, and labels. Hide subdivisions. Create Mystery Spinners. Click the spinners to spin. 2. Dice: Drag one or more dice to the board. Choose dice color. Redesign the die with a variety of color, dot numbers, or Arabic numbers. Click each die to spin. Page 21

22 3. Bag: Drag one or more bags to the board. Choose the number, shape, and color of bag contents. Choose with or without replacement. Choose the number of items to draw. When finished, click the bad to shake and draw. 4. Coins: Coins are labelled "H" for Heads and "T" for Tails. Choose the color. Drag one or more coins to the board. Click each of them to spin. Page 22

23 5. Standard Deck of Cards: Drag one or more decks to the board. Choose with or without replacement and the number of cards draw at once. Modify the deck by eliminating specific cards or entire suits or number. Click the deck to draw the cards. 6. Random Number Generator: Drag the random number generator to the board. Indicate the number of integers to generate. Indicate the range for each random number. Click to randomize. Page 23

24 Page 24

25 Chapter 1 Page 25

26 MC : Color-Rama (CPM) Click on the link below. Color-Rama (CPM) 1. Setup: 2. Move the 'Class' & 'Teacher' labels to a square. Flip the coins! Page 26

27 MC : 1-18 & 1-21 Student etools (CPM) Click on the links below. MC Student etool Dots (CPM) MC Student etool Dots (CPM) 1. MC Student etool: 2. MC Student etool: Page 27

28 MC : 1-62 Student etool (CPM) Click on the link below. MC Student etool (CPM) 1. MC Student etool: Create patterns and number expressions for the figure below. 2. Hint: Possible Pattern and expression: Page 28

29 Chapter 2 Page 29

30 Acrobat Number Line (CPM) Click on the "Acrobat Number Line" link below. Acrobat Number Line 1. Opening Puzzle: 2. Choose lengths and play. Page 30

31 3. Choose from numerous puzzles available. Puzzles from 2-31 and Closure are included. 4. Create your own puzzles 1. Set rope length. 2. Change numbers on available ropes 3. Delete a length 4. Add a length 5. Save or Go (play) Page 31

32 5. Get additional help! Page 32

33 MC : 2-73 Student etool (CPM) Click on the link below Student etool (CPM) 1. MC Student etool: 2. Use the tiles at left to build each part. See example below. Page 33

34 MC : Number Cubes (CPM) Click on the link below Number Cubes (CPM) MC Number Cubes: Click each number cube to roll! Page 34

35 Chapter 3 Page 35

36 MC : 3-37 Student etool (CPM) Click on the link below Student etool (CPM) MC Student etool: Page 36

37 MC : 3-47a Answer etool (CPM) Click on the link below Answer etool (CPM) MC1 3-47a Student etool: Possible answers include: Page 37

38 MC : 3-89 & 3-90 Student etools (CPM) Click the links below Student etool (CPM) 3-90 Student etool (CPM) MC Student etool: Page 38

39 MC Student etool: Page 39

40 MC : Tug-O-War (CPM) Click on the "Tug-O-War (CPM)" link below. Tug-0-War egame (CPM) 1. Click the "Directions" checkbox. Â Check and uncheck the "Spin" checkboxes. Â Drag the markers into position. 2. Directions: Place a Token at zero. Click both spinners. Add, subtract, multiply, or divide the results. Goal: Land on one of the "Winner" spots. Page 40

41 Page 41

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