Interactive Whiteboard Tools
Multiplication
User’s Guide
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Table of Contents
About the Do The Math Interactive Whiteboard Tools.....................1
ii
Using the Tools............................................................................2
Using the WorkSpace Pages..........................................................5
Quick Reference Chart................................................................ 6
List of Tools.................................................................................7
Multiplication Tools
Capture Cards..................................................................... 8
Drawing Tool ....................................................................10
Multiplication Chart .......................................................... 12
Missing Product Chart .......................................................14
Number Cubes...................................................................16
Pathways (Game)...............................................................18
Spinner............................................................................ 20
Tiles.................................................................................. 22
Times 10 (Game)................................................................24
Interactive
Do
The MathWhiteboard
InteractiveTools
Whiteboard
for Do The
Tools
Math
About Do The Math Interactive Whiteboard Tools
The Do The Math Interactive Whiteboard Tools provides all of the demonstration tools and WorkSpace
pages you need to teach the lessons in Do The Math: Multiplication A, B, and C. The easy-to-use tools work
on all interactive whiteboards and are designed to use with large groups of students or with the whole class.
Students can easily view the Do The Math Interactive Whiteboard Tools no matter where they are sitting in
the classroom. While the tools do not replace the hands-on manipulatives, you can use them in a similar
way on a whiteboard.
Multiplication
Multiplication
Using the Tools
When viewing the Main Menu, choose the appropriate module — A, B, or C — by clicking on a tab
at the top of the menu. Then click on a lesson. The tools and WorkSpace pages for that lesson are
listed at the bottom of the screen on the red bar, as shown on page 3. The Main Menu and all lesson
menus also have a link to the tools. Use this link if you want to open a tool and use it without
referring to a lesson in the Teacher’s Guide.
Teach a lesson following the steps given in the Do The Math Teacher Guide.
•To demonstrate a step with a tool, click the appropriate tool icon on the red bar to open the tool. The manipulatives on the blue toolbar can be used only in the active white space — the area
above the toolbar — on the whiteboard.
•To show a WorkSpace page, select the appropriate page icon. To view both a tool and a page,
click on both icons and they will appear simultaneously on a split screen.
•To open the same tool simultaneously on a split screen, click on the tool icon twice.
•To use the Pencil tool, click on the Pencil tool icon on the red bar. Use the Pencil tool to draw
or to write text, numbers, and equations anywhere on the whiteboard screen.
•To remove writing and drawings made with the Pencil tool, click the Eraser tool and then
click on the writing or drawing. You may also drag over the writing or drawing with the
eraser to delete it.
•To print a screen, click Print. Printing will automatically be done in “Landscape” orientation.
The Save/Open buttons allow you to continue a lesson or game on a tool at a later time.
When you click Save, you save the current screen display, but you cannot save anything
written using the pencil tool. You can save screens in more than one lesson. To open a
saved tool, return to the lesson, click the tool, and then click the Open button.
Do The Math Interactive Whiteboard Tools
Using the Tools (continued)
Click Help to read
information about
how to use a tool.
Click Main Menu
to close the lesson
and display the
Main Menu.
Click Tools to
access any of
the tools for
Multiplication.
Click User’s Guide
to open the guide
in PDF format.
Click Quit to close
the program.
Click Save to save
the current screen
display of the tool.
Click a button on the toolbar
to use a manipulative. Some
are activated by a single
click (e.g., Capture Cards).
Others are activated by a
drag and drop (e.g., Tiles).
Click a tool icon
to open the tool.
Click Close
to close a tool.
Click Open to open
a previously saved
tool.
Click Print to
print the screen.
Click Start Over
to play again.
Click a WorkSpace
page icon to open
the page.
Use the Pencil tool
to write or draw on the
whiteboard screen.
Use the Eraser tool
to erase writing on the
screen.
Multiplication
Using the Tools (continued)
Many lessons use one or more tools in addition to one or more WorkSpace pages.
You can use up to two tools, WorkSpace pages, or a combination of both at the
same time. These open side by side on the same screen.
The example below from Multiplication A Lesson 17 shows the Number Cube tool
and WorkSpace page 30 on the same screen.
Click a tool icon
to open the tool.
Do The Math Interactive Whiteboard Tools
Click a WorkSpace page
icon to open the page.
Using the WorkSpace Pages
Click a WorkSpace page icon to open a page. The Do The Math Teacher’s Guide will tell you which
page to open for each step in the lesson.
Use the Pencil tool to write or draw on a WorkSpace page as you explain directions or demonstrate
a game. Note that text written on a WorkSpace page can be printed, but it cannot be saved or moved.
Use the Eraser tool to erase writing on the screen.
Use the Zoom tool to magnify a page. When using the Zoom tool,
• zoom-in to the desired magnification before you use the Pencil tool to write on a WorkSpace page.
• do not change the magnification of a page after you write on it. The text does not zoom-in or
zoom-out with the page.
Click Close to close
the WorkSpace page.
Click Zoom to magnify
the WorkSpace page.
Use the Pencil tool to write
on the white space.
Use the Eraser tool to
erase writing on the screen.
Click a WorkSpace page icon to open the page.
If you click on both icons, both pages will appear
side by side.
Multiplication
Quick Reference Chart
Blue toolbar
Displays the buttons for each manipulative for a particular tool.
Close button Closes a tool or a WorkSpace page.
Eraser tool
Erases writing from the whiteboard screen.
Help button
Opens the Help window with information about how to use the tool.
Main Menu
button
Returns to the Main Menu, which lists the 30 lessons in each module.
Select module A, B, or C by clicking on the appropriate tab at the top
of the Main Menu screen. The menu also has a Tools tab that lists all available tools for Multiplication.
Open
Opens a saved tool.
Pencil tool
Allows you to draw or write text, numbers, and equations on the
whiteboard screen.
Quit
Closes the program.
Recycling Bin
Drag and drop drawings made with the Drawing Tool to remove them from the screen.
Red Bag
Drag and drop manipulatives, such as tiles or number cubes, to remove them from the screen.
Red Bar
Displays all available tools and WorkSpace pages for a lesson.
Reset button
Clears the white space. The tool remains active.
Save button
Saves the current screen display of a tool.
Start Over button Clears a game screen so you can play again.
User’s Guide
button
Opens the User’s Guide in PDF format.
Zoom tool
Magnifies the WorkSpace page.
Do The Math Interactive Whiteboard Tools
List of Tools
Multiplication
Addition & Subtraction
Hundred-Frame
Hundred-Pocket Chart
Number Cards
Number Cubes
Quick Look Cards
Spinner
Ten-Frame
Division
Fractions
Grouping and Sharing
Compute & Compare (game)
Leftovers (game)
Connecting Cubes
Number Cubes
Drawing Tool
Tiles
Fraction Cards
Fraction Shapes
Fraction Strips
Capture Cards Drawing Tool Multiplication Chart Missing Products Chart
Number Cubes Pathways (game) Tiles
Times 10 (game)
Multiplication
Capture Cards
Provide practice with multiplication facts through 6 × 6 using different visual models
of multiplication through an engaging and familiar game.
è Click and drag cards
to show a card.
to a player’s card collecting
box. The counter shows
the number of cards in
the player’s box.
ç Click a Capture Card
ê Click Start Over
é Click on a deck
to play again.
button to select a game:
Circles and Stars, Tiles,
Where the Lines Cross,
or Multiplication.
å Click the Capture Cards
icon to open the tool.
Do The Math Interactive Whiteboard Tools
Using Capture Cards
Capture Card games are used in Multiplication A Lesson 4, 5, 10, 11, 20, 22, 24 and 25
and in Multiplication B Lessons 2, 5, and 10. All four capture games — Circles and Stars
Capture, Multiplication Capture, Where the Lines Cross Capture, and Tiles Capture —
reinforce student understanding of multiplication while providing consistent practice
for facts through 6 × 6. Using all four games while teaching from these modules encourages students to calculate and visualize products in more than one way, thus supporting
number sense as they develop fact fluency.
It is important to realize that although the problems presented on the
cards might represent the same multiplication facts, the four decks are
visually quite different.
• Circles and Stars Capture cards show stars within circles. For example, the card
for 3 × 4 shows 3 circles with 4 stars in each circle, while the card for 4 × 3 shows
4 circles with 3 stars in each circle.
• Tiles Capture cards show equal rows of tiles. For example, the card for 3 × 4 shows
3 rows of 4, and the card for 4 × 3 shows 4 rows of 3. This is a useful feature for
introducing students to the Commutative Property of Multiplication.
• Where the Lines Cross cards show rows horizontal lines and vertical lines that
cross them. There is a circle at each crossing point. This deck is also useful in
teaching the Commutative Property of Multiplication.
• Multiplication Capture cards present something quite different as no visual cue
is given. For these cards student must be able to interpret the multiplication fact
and figure the product. For example, if a card shows 4 × 5 and the student does not have automatic recall of the product, he or she can think: 4 groups of 5. This enables the student to think 5 + 5 + 5 + 5. The student may also think of the fact as 5 groups
of 4.
User Tips
• If two cards have the same product, they cannot be moved to a collecting box.
In that case, the players click on the decks to see two more cards. The player
with the greater product wins all four cards.
• Cards can be moved from one player’s box to the other, but they cannot be
returned to the white space.
Multiplication
Drawing Tool
Allows the user to create circles, stars, and rectangles to demonstrate activities or
play games, such as Circles and Stars, or to show the Distributive Property geometrically
by splitting rectangles to simplify multiplication.
Drag and drop a star onto
the white space above
the toolbar. You can place
multiple copies of each.
Click a Rectangle button and
then click and drag in the white
space or in a drawn grid to
draw a rectangle.
Click the Circle button
and then click and drag
in the white space to
draw a circle.
Click the Hand button
to reposition drawings
on the white space or
to place drawings in
the Recycling Bin.
Click the Drawing tool icon
to open the tool.
Drag and drop tiles onto the white
space. Use the Pencil tool to draw
lines between rows of tiles.
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Do The Math Interactive Whiteboard Tools
Click the Grid button and then click
and drag in the white space to draw
a grid.
Click the Number Cube to roll a
number. You can roll up to four
cubes. You can also drag a cube
onto the white space to roll it.
Click the Hand button. Then
drag and drop drawings and
cubes into the Recycling Bin to
remove them from the screen.
Click Reset to
clear the screen.
Note: The order in which the manipulatives on the
Drawing toolbar are used depends on the lessons.
For this reason the boxes are not numbered.
Using the Drawing Tool
The Drawing tool is used in Multiplication A Lessons 1, 2, 3, 4, 19, and 22; Multiplication
B Lessons 3, 4, 7, 8, 9, 16, 17, 19, 27, and 28; and Multiplication C Lessons 1 and 6.
Use this versatile tool to draw circles, stars, rectangles, and grids for many demonstrations
and games.
The Drawing tool can be used to:
•play Circles and Stars, a game that helps students understand that multiplication
can be thought of as combining equal groups.
•demonstrate Where the Lines Cross using the grid and the circle tool. For facts with greater products, such as 5 × 6, you may click the Circle button or use the Pencil tool
to draw the circles.
•draw rectangles on a grid as in Multiplication B, Lessons 3 and 4.
•draw rectangles to simulate egg cartons as in Multiplication C, Lessons 1 and 6.
User Tips
•The buttons on the toolbar (except for the Number Cube, Star and the Tile) are enabled (active) when they are clicked and turn green. Only one button at a time can be enabled.
•Click the Hand tool and then drag a drawing, tile, or number cube to a different location on the white space or into the recycling bin.
•When moving circles and stars, you must move each circle or star individually.
You may find it easier to draw the circles first, adjust their position, and then add
the stars.
•Some users may prefer to use the Pencil tool to draw circles and stars.
•Use the Pencil tool to split rectangles drawn on a grid and figure partial products,
as in Multiplication B, Lessons 8, 9, 19, 27, and 28.
Multiplication
11
Multiplication Chart
Helps students make the connection between rectangles on the chart and related
multiplication equations. Working with the chart deepens their understanding of
multiplication while building number sense and familiarity with products through
12 × 12.
ê Click the Reveal Product
é Click the Gray or Red
button. Then click on a cell
or click and drag inside the
grid to draw a rectangle
(Gray button) or to shade
numbers (Red button).
ç Click the Chart button
button and then click on a
gray rectangle to see the
product.
è Click the Rotate button
to rotate a gray rectangle.
ë Click Reset to
clear the screen.
to display a Multiplication
Chart.
å Click the Multiplication
Chart icon to open the tool.
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Do The Math Interactive Whiteboard Tools
í Drag and drop a rectangle or shaded red cell
into the red bag to remove it from the screen.
This feature works when the corresponding
Gray or Red button is active.
Using the Multiplication Chart
The Multiplication Chart is used in Multiplication B Lessons 3, 4, 6, 7, 8, 9, 12, 14, 15, 17, 19,
and 21. This tool can be used for any size group of students, but it is especially helpful if you
are teaching a large group of students or the whole class. The large size of the chart and
manipulatives shown on a whiteboard enables each student to participate fully in the lessons.
The Multiplication Chart can be used to:
•find the product of two numbers.
•check products by placing rectangles on the chart and then by using the Reveal Product
button.
•reinforce the Commutative Property of Multiplication. Students rotate rectangles and
see that the product remains the same for both orientations. These experiences prepare students for exploring patterns on the chart by focusing on multiples of numbers.
•show multiples of a number, as in Lessons 12, 14, and 15. After students color their own charts for a particular multiple, you can do the same with the tool so that students can check and verify their work.
•demonstrate how to cross out products in Lesson 21.
User Tips
•The Red, Gray, and Reveal Product buttons on the toolbar are enabled (active) when
they are clicked and turn green. Only one button at a time can be enabled.
•To drag gray or red shaded rectangles to the red bag, their corresponding button must
be enabled.
•The Red button allows you to shade individual cells or groups of cells while leaving
the number in each cell visible.
•The Rotate button automatically rotates a gray rectangle on the chart. This button
cannot rotate red rectangles.
•Once a gray or red rectangle has been placed, it cannot be resized.
Multiplication
13
Missing Products Chart
Helps students make the connection between rectangles on the chart and related
multiplication equations. Working with the chart deepens their understanding of
multiplication while building their number sense and familiarity with products through
12 × 12.
ë Click the Reveal Product
button and then click on a
gray rectangle to see the
product.
é Click the Gray or Red
button. Then click on a cell
or click and drag inside the
grid to draw a rectangle
(Gray button) or to shade
squares (Red button).
è Click the Rotate button
to rotate a gray rectangle.
í Click Reset to
clear the screen.
ç Click the Chart button
to display a Missing
Products Chart.
å Click the Missing
Products Chart icon
to open the tool.
14
ê Click the Number button
and then click on a white
square or a red shaded
square to show a number
on the chart.
Do The Math Interactive Whiteboard Tools
ì Drag and drop a rectangle or shaded red cell
into the red bag to remove it from the screen.
This feature works when the corresponding
Gray or Red button is active.
Using the Missing Products Chart
The Missing Products Chart is used in Multiplication B Lessons 6, 7, 8, and 9. Through
hands-on experience with rectangles, students write products on the Missing Products
Chart — thus recreating the Multiplication Chart. These lessons help deepen student
understanding of multiplication while helping build number sense and familiarity
with products up to 12 × 12. As students fill in their own Missing Products Charts,
they begin to learn many of the basic multiplication facts.
User Tips
•The buttons on the toolbar (except for the Chart button) are enabled when they
are clicked and turn green. Only one button at a time can be enabled.
•To drag gray rectangles or shading to the red bag, their corresponding button
must be enabled.
•Once a gray or red rectangle has been placed, it cannot be resized.
•The Rotate button automatically rotates a gray rectangle on the chart. It will not
rotate red rectangles.
•You may use the Number button to place a product in a cell before or after the
corner is turned up.
•You may want to save a partially completed chart for future lessons. To open a
saved chart, you must first go to the lesson in which you saved it.
Multiplication
15
Number Cubes
Generate numbers to use as factors in multiplication games such as Circles and Stars,
Bingo, Target 300, and Product Roll. The image shows a Product Roll game in progress.
é If you want to roll additional cubes,
drag and drop one or more of the rolled
cubes to the white space above the cubes.
ç Click a number cube to
roll a number. You can roll
up to four cubes. You can
also drag a cube onto the
white space to roll it.
å Click the Number Cube
icon to open the tool.
16
Do The Math Interactive Whiteboard Tools
ê Click Reset to
clear the screen.
è Drag and drop a
number cube into the
red bag to remove it
from the screen.
Using the Number Cubes
Many games and activities require a number cube to generate factors for or products
of a one-digit number times a three-digit numbers. The Number Cube tool is used in the
following lessons. Note that the list below shows the number cube or cubes used in a
lesson and the numbers a particular cube will roll.
Multiplication A Lessons 17 & 18
• Red Cube (1, 2, 3, 4, 5, 6)
Multiplication C Lessons 14, 15, 20, 23, & 25
• Red Cube (1, 2, 3, 4, 5, 6)
• White Cube (4, 5, 6, 7, 8, 9)
• Blue Cube (0, 1, 2, 3, 4, 5)
The Number Cube toolbar shows the three number cubes used in the multiplication lessons.
Select only the number cube or cubes that are appropriate for the lesson or game you are
demonstrating or playing.
Target 300 is introduced in Multiplication C Lesson 14. It is a very versatile game as the
target number can be changed in order to differentiate and meet specific student needs.
Students multiply the number rolled by 10, 20, 30, 40, and 50. For students who have
difficulty, change the game to Target 200 so students multiply more often by 10 or 20.
For students who need a greater challenge, change the game to Target 600, which
encourages students to multiply by the larger multiples of 10.
Target 1000 appears in Multiplication C Lesson 20. Students now multiply by 10, 20,
40, 60, or 80. Try a modification of the game where students play with a 0–9 spinner
and multiply by 10, 20, 30, 40, and 50.
As the module progresses, you may feel it would be useful to slow down the pace and give
students more practice. If so, add an extra day or more of instruction so that students can
play one or more of the Target games. Playing a Target game with the class on the whiteboard
will give you the opportunity to assess students both on their multiplication facts and their
skill at multiplying by multiples of 10.
User Tips
• If you have rolled 4 cubes and the Number Cube buttons are disabled, you may enable them
again by dragging cubes into the red bag or into the white space above the rolled cubes.
• You may want to have students place rolled cubes in the white space above rather than in
the red bag. This will allow students to look back and see how they might have multiplied
differently and reached the desired product sooner.
Multiplication
17
Pathways
Provides an engaging way to practice basic multiplication facts to 12 x 12.
è Click a tile and drag it onto
the game board.
é Use the Pencil tool to
circle or cross out numbers
on the game board.
ç Click a Game Board
button to display a game
board.
Click the Eraser tool
to erase writing on the
screen.
ê Drag and drop tiles into
the red bag to remove them
from the screen.
å Click the Pathways
icon to open the tool.
18
Do The Math Interactive Whiteboard Tools
ë Click Start Over
to play again.
Using Pathways
Pathways is played in Multiplication B Lessons 13, 20, 22, 23, and 25 and in Multiplication C
Lessons 9 and 10. Each of the five boards shows a different set of products. They are designed
to give students practice with facts from 3 × 3 to 12 × 12 by making a path of tiles across a
game board.
Use the tools to demonstrate how to play different Pathways games and to play rounds on
different boards. When demonstrating the game, you may choose to play with the whole
class or with one student as your opponent. Explain your thinking to students as you
choose a factor and place a tile on a product. This will help students develop strategies
for choosing the best number for their next turn.
You may also choose two students to play the game on the whiteboard. While they take turns,
ask the other students in the class to give suggestions as to which circle to erase and which
number to circle, and have them explain their reasoning. The class can also help if a player
does not recall a product of two factors or if the student places a tile on an incorrect product.
This keeps everyone engaged and gives you an opportunity to assess how well students are
learning their facts.
Play a game often, as students enjoy practicing multiplication facts this way.
User Tip
• It is important for students to record equations when they play, so it is a good idea
to display the WorkSpace page 37 along with Pathways and use the Pencil tool to record
the equations.
Multiplication
19
Spinner
Generates the numbers 0 through 9. Use the Spinner tool as an alternative to the
number cube when playing Target 1000, a game that reinforces multiplying by multiples
of 10.
ç Click anywhere on
the spinner to spin a
number from 0-9 at
random.
å Click the Spinner
icon to open the tool.
20
Do The Math Interactive Whiteboard Tools
Using the Spinner
Although the spinner is not called for in any of the lessons in Do the Math: Multiplication,
you can use it as an alternative to number cubes to play Target 1000 in Multiplication C
Lesson 20.
Have two students use the Spinner tool, the Pencil tool, and WorkSpace page 39 to play
Target 1000. This gives you the opportunity to informally assess how well they can multiply one-digit numbers and multiples of 10. Give everyone a chance to play the game on
the whiteboard. Keep the class engaged by having student pairs play the game using the
same numbers generated by the students.
Use the spinner to generate two factors from 0 through 9. This provides an opportunity
for students to practice multiplication facts through 9 times 9. As you progress through
Multiplication B and C, you could use it as a warm-up prior to the lesson — just spin twice
and have students write the multiplication equation.
User Tip
• The spinner arrow will always land on a number. You don’t have to spin more than once to get a number.
Multiplication
21
Tiles
Provides a visual model to support students’ learning of multiplication.
é Click the Tile button
and drag a tile onto the white
space. Place multiple tiles to
create rows or columns.
ç Click a number cube to
roll a number. You can also
drag a cube onto the white
space to roll it.
å Click the Tiles icon
to open the tool.
22
Do The Math Interactive Whiteboard Tools
ê Click the Reset button
to clear the screen.
è Drag and drop tiles and number
cubes into the red bag to remove
them from the screen.
Using Tiles
Tiles are used in Multiplication A Lessons 9 and 21 and Multiplication B Lessons 3 and 16.
They are used to show equal groups of objects arranged in equal rows, providing students
with a visual model to support their understanding of multiplication. Use this tool to
model multiplication problems.
Although the number cube is not required in the lessons listed, there is a Number Cube
button on the Tiles toolbar. Roll number cubes to generate factors for numbers of rows
and numbers of tiles per row. Then have students write a multiplication equation for
the number of equal rows. For example, if your first roll is 4, make a row of 4 tiles.
If your second roll is 5, place tiles on the white space until you have 5 rows of 4 tiles.
Then have students use the Pencil tool to write the multiplication equation
5 × 4 = 20.
User Tip
• The Tiles tool works in a slightly different way in Module A and Module B.
In both modules, you can place the tiles freely anywhere in the white space.
In Multiplication B, the tiles will snap into place to create tightly spaced rows
and columns, as shown on the screen on page 22.
Multiplication
23
Times 10
Provides an engaging way to practice basic multiplication facts and multiplication
of two-digit numbers by 10.
é Use the Pencil tool to
circle or cross out numbers
on the game board.
Click the Eraser tool to
erase writing on the screen.
ç Click a Game Board
button to display a game
board.
è Click a tile and drag it on
the game board (optional).
ë Click Start Over
to play again.
ê Drag and drop tiles into
the red bag to remove them
from the screen.
å Click the Times 10
icon to open the tool.
24
Do The Math Interactive Whiteboard Tools
Using Times 10
Times 10 is used in Multiplication C Lessons 11 and 12. The four games extend student
experience to multiplying two-digit numbers by 10. The games also help students focus
on factoring numbers — a strategy used while playing this game.
Multiplying by 10, as presented in this game, is an important step in preparing students
for multiplying by multiples of 10 and then for multiplying problems such as 56 × 3,
which calls for:
• splitting 56 into its place-value parts (50 + 6),
• multiplying each part by 3 (50 × 3 and 6 × 3), and
• adding the two partial products to get the final product (150 + 18 = 168).
Game Board A has the factors 3, 4, 5, 6, 7, and 9. It gives students practice multiplying
by 10 by tacking on a 0 to a product. For example, 3 × 4 = 12 and 12 × 10 = 120.
Game Board B has the factors 3, 4, 6, 7, 8, and 9. It provides additional practice with
basic multiplication facts for factors from 3 through 11. Students multiply two factors
at the bottom of the game board. Then they multiply the product by 10. For example,
6 × 8 = 48 and 48 × 10 = 480.
Game Board C and Game Board D are not a part of any lesson. They are included to give
students practice with different sets of factors. Game Board C has the factors 4, 5, 6, 7, 8,
and 9; and Game Board D has the factors 4, 6, 7, 8, 9, and 11.
User Tip
• Try this variation of the game: Player X uses green tiles and Player Y uses yellow tiles to cover products on the game board.
Multiplication
25