1 SpringBoard Digital User Guide– Students & Parents – Math Tools Overview .....................................................................................................................2 Welcome to SpringBoard Digital User Guides............................................................................................... 2 Algebra Tools ...............................................................................................................3 1. Navigating to the Algebra Tools ..................................................................................................................... 3 2. Using the Input/Output and Graphing Calculator Algebra Tools .................................................... 4 3. Using the Algebra Tiles Tool ............................................................................................................................ 7 Desmos Calculators....................................................................................................10 1. Navigating to the Desmos Calculators ...................................................................................................... 10 Geometry Tools .........................................................................................................11 1. Navigating to the Geometry Math Tools .................................................................................................. 11 2. Using the Geometry Tools.............................................................................................................................. 12 3. Using the Protractor ......................................................................................................................................... 13 Number Concept Tools...............................................................................................15 1. Navigating to the Number Concepts Tools:............................................................................................ 15 2. Using the Number Concepts Tools ............................................................................................................. 16 3. Using the Ruler.................................................................................................................................................... 18 4. Using Number Lines.......................................................................................................................................... 19 Probability and Statistics Tools...................................................................................22 1. Navigating to the Probability and Statistics Math Tools................................................................... 22 2. Using the Probability and Statistics Tools............................................................................................... 23 3. Using the Spinner Tool .................................................................................................................................... 25 4. Using the Random Number Tool................................................................................................................. 27 5. Using the Number Cubes Tool...................................................................................................................... 29 WIRIS.........................................................................................................................31 Desmos Graphing Calculator ......................................................................................32 2 Overview Welcome to SpringBoard Digital User Guides In this guide for Math Students, you will learn to use the Math Tools in four important Math subjects. You’ll also learn more about GeoGebra tools and the Desmos graphing calculator by visiting suggested links/websites. Space for notes: 3 Algebra Tools Using the Algebra Tools, you can: • model equations being solved with Algebra Tiles • create tables and graphs using the Input/Output table or the Graphing Calculator • build an equation to add to work using the Equation Editor 1. Navigating to the Algebra Tools 1. Click My Bookshelf on the dashboard and open the math e-book. 2. Select any question and click on the + sign. When the answer space opens, click on the Math Tools Suitcase. The first tools that appear are the Algebra Tools. 4 There are other math tools in the suitcase. Read the Geometry, Number Concepts and Probability and Statistics Math Tools Guides to learn more about those tools. 2. Using the Input/Output and Graphing Calculator Algebra Tools 1. Select the Algebra Tool needed. In this question, a table is needed. Choose the Input/Output Tool. 2. The problem asks for certain x-values, -3, -2, -1, 0, and 1, to be included in the table. Clicking on the settings icon that allows the list to be edited. 5 Hint: To see the tool window full screen, click on the four-way arrows in the top corner of the tool window. 3. The problem asks for the function to be graphed on grid paper. The visual on SBD can be used for assistance with this task. The required x-values can be added to the table by clicking below the last value. Values can be added using the computer keyboard or the input options on the screen. 4. Determine the related y-value for each x-value added to the table. As the related y-values are added to the table, points representing each ordered pair shown in the table appear on the graph. 6 5. To determine whether the answers added to the table are correct, graph the function to model a second representation of it. Click on the plus sign and choose “f(x)expression”. 6. The computer keyboard or the screen input tools can be used to type the function into the space provided. Notice that the function is graphed through the points plotted using the table function. The values are correct! 7 3. Using the Algebra Tiles Tool 1. Choose the Algebra Tiles tool. 2. In this question, the equation to be solved is 6x + 3 = 5x + 10. This equation does not require the use of x2 tiles but x tiles and unit tiles are needed as shown below. 8 3. The equation can be shown above the tiles using the toggle button beneath the tool pane. 4. Use the Algebra Tiles to assist in solving the equation. Do this by removing the same number of x tiles and unit tiles from both sides of the pane by dragging them off the pane toward the bottom. 9 5. To determine the solution to the equation, look at the tiles left behind after all of the x tile and unit tile pairs are removed. In this case x = 7. Be sure to check the solution by substituting the solution into the original equation. There are many uses for the Algebra Tools in SBD. In addition to the tools outlined in this guide, the Equation Editor can be used to create different types of equations to add to your work. Explore the Algebra Tools and share your findings with your class! For information about GeoGebra – CAS please visit the following site: https://www.geogebra.org/b/ogeMbIiF For information about GeoGebra – Spreadsheet, please visit the following site: https://www.geogebra.org/b/wuiE7sPF 10 Desmos Calculators 1. Navigating to the Desmos Calculators You have 3 types of calcuators to choose from: 1. Click My Bookshelf on your dashboard and • Desmos Graphic Calculator open your math e-book. • Desmos Scientific Calculator • Desmos Four Function Calculator 2. Select any question and click on the + sign. When the answer space opens, click on the Math Tools suitcase. The second set of tools that appear are the Desmos Calculators. For more information on the Desmos Graphic Calculator, please see pp 32-33. 11 Geometry Tools 1. Navigating to the Geometry Math Tools Using the Geometry Tools, you can: 3. Click My Bookshelf on your dashboard and • model shapes and solids open your math e-book. • plot figures and complete transformations on a coordinate grid • measure using a digital protractor 4. Select any question and click on the + sign. When the answer space opens, click on the Math Tools suitcase. The third set of tools that appear are the Geometry Tools. There are other math tools in the suitcase. Read the Algebra, Number Concepts, and Probability and Statistics Math Tools Guides to learn more about those tools. 12 2. Using the Geometry Tools 1. Select the Geometry Tool needed. In this case, the problem asks for a transformation. Choose the Transformation Tool. 2. The task in this problem is to reflect a given shape. The Point and Line Segment Tools can be used to reproduce the original shape. 3. Multiple types of transformations are available to assist in solving problems. Use the one that is needed. In this case, use the appropriate Reflection Tool. Another Geometry Tool is the protractor. 13 3. Using the Protractor 1. Find the Protractor in the Geometry space of the Math Toolbox. 2. Use the Protractor to measure angles within problems. As data is collected, add it to the table. Two and three-dimensional shapes and solids can also be created using the Grapher Tool. 14 There are many uses for the Geometry Tools in SBD. Use the Grapher and Transformation tools to represent figures that can assist in solving problems. Use the Protractor to measure angles and record measurements for later use. Explore the Geometry Tools and share your findings with your class! For information about GeoGebra – 2D and – 3D, visit the following websites: https://www.geogebra.org/b/JV45hyEh and https://www.geogebra.org/b/FN8Dev7T 15 Number Concept Tools Using the Number Concept Tools, you can: • model problems involving integers • use a ruler