Chapter 1
Base Blocks Represent decimals through thousandths using place-value models
Base Blocks Decimals

Add decimals through thousandths using place-value models

Diffy Choose between whole numbers, integers, fractions, decimals, or money amounts to find the difference between the pair of numbers on each side of a square
Circle 3

Place three decimals that sum to 3 inside a circle

Circle 99

Place three whole numbers that sum to 99 inside a circle

Chapter 2
Rectangle Multiplication Visualize the product of two factors using an array

Chapter 3
Rectangle Division Practice division using 10 x 10, 20 x 20, or 30 x 30 grids

Chapter 4
Fibonacci Sequence Pick a starting value and explore the terms in the Fibonacci Sequence

Chapter 5
Algebra Balance Scales Solve simple linear equations with one unknown using a balance scale
Color Chips-Addition Use colored chips to model and solve addition equations with integers
Color Chips-Subtraction Use colored chips to model and solve subtraction equations with integers
Diffy Choose between whole numbers, integers, fractions, decimals, or money amounts to find the difference between the pair of numbers on each side of a square
Function Machine Explore the concept of a function using a function machine
Number Line Bars Use adjustable color bars to illustrate arithmetic operations on a number line
Number Patterns Recognize patterns in number sequences
Rectangle Multiplication of Integers Visualize the product of two integers
Circle 0

Place three positive and negative numbers that sum to 0 inside a circle

Number Line Bounce Combine 4 integers using a number line to arrive at a designated sum

Chapter 6
Factor Tree Find the prime factorization of one or two numbers
Fraction Bars Explore the relationhip between fractions
Fraction Pieces Manipulate fractional pieces of a circular or square region
Fractions-Comparing Recognize and generate equivalent forms of commonly used fractions to compare fractions
Fractions-Equivalent Recognize and generate equivalent forms of commonly used fractions
Fractions-Naming Identify the fraction that represents the model
Fractions-Parts of a Whole Model commonly used fractions
Fractions-Rectangle Multiplication Use the area model to multiply fractions
Fractions-Visualizing Model commonly used fractions using various shapes
Pascal's Triangle View number patterns or create your own
Sieve of Eratosthenes Explore patterns and relationships involving multiples

Chapter 7
Diffy Choose between whole numbers, integers, fractions, decimals, or money amounts to find the difference between the pair of numbers on each side of a square
Number Line Bars-Fractions Use adjustable color bars to illustrate arithmetic operations with fractions on a number line

Chapter 8
Number Line Bars-Fractions Use adjustable color bars to illustrate arithmetic operations with fractions on a number line
Spinners Spin a spinner and record the results
Stick or Switch Explore the probabilty of winning a "Let's Make a Deal" game

Chapter 9
Bar Chart Make a bar graph
Box Model

Model probability experiments, such as tossing a number cube or flipping a coin

Box Plot Create box-and-whisker plots and histograms from data
Coin Tossing Use a random generator to model tossing a coin repeatedly and recording the results
Hamlet Happens Explore simulations of random experiments
Histogram Create box-and-whisker plots and histograms from data
Pie Chart Make circle graphs
Scatterplot Determine the line of best fit based on data entered
Venn Diagrams Explore the union and intersection of sets
Whammy Awards Explore 5 different voting schemes

Chapter 10
Color Patterns Recognize, describe, and extend color patterns
Congruent Triangles Construct triangles from various combinations of sides and angles (SSS, SAS, ASA, SSA)
Geoboard Subdivide, combine, and transform shapes using a geoboard
Geoboard-Circular Draw and compare two-dimensional shapes using a circular geoboard
Geoboard-Circular Construct central angles and find the measures of each angle in a triangle using a circular geoboard
Geoboard-Isometric Construct three-dimensional shapes
Ladybug Leaf Use action buttons to direct a ladybug to a leaf
Ladybug Mazes Use action buttons to direct a ladybug through a maze
Pattern Blocks Create various patterns of shape, including symmetrical patterns
Pentominoes Make different figures using pentominoes, including congruent figures
Pinwheel Tiling Manipulate right triangles to make Pinwheel Triangles
Platonic Solids Manipulate solid figures to identify the number faces, vertices, and edges; explore Euler's Formula
Platonic Solids-Slicing Visualize the intersection of a plane figure with a solid figure
Polyominoes Create patterns and explore creating different shapes with squares
Space Blocks Match nets with the appropriate solid figure
Tangrams Build different shapes from a tangram
Tessellations Form tessellations using different shapes
Transformations-Composition Explore the effect of two transformations of a figure
Transformations-Dilation Create figures with pattern blocks and explore dilations
Transformations-Reflection Create figures with pattern blocks and explore reflections
Transformations-Rotation

Create figures with pattern blocks and explore rotations

Transformation-Translation

Create figures with pattern blocks and explore translations

Triominos Flip or rotate triangular triominoes to build different figures
Turtle Geometry

Use action buttons to direct a turtle to a given destination

Turtle Rectangles Explore the commands to draw different rectangles

Chapter 11
Percentages Find the percent of a number
Percentages Find what percent one number is of another
Percentages Find the original number when a percent of it is known
Pythagorean Theorem Explore two proofs of the Pythagorean Theorem

Chapter 12
Loan Calculator Explore the size of payments required to pay off a loan
Savings Calculator Calculate the interest and total savings on single or regular deposits

Chapter 13
Coin Problem Find the counterfeit coin (light or heavy) in a set of identical coins
Converting Units Solve unit conversion problems or create your own
Fill and Pour Manipulate two containers of liquid to achieve a target volume in one container
Geoboard Explore perimeter and area of regular and irregular shapes using a geoboard
How High? Explore the conservation of volume by pouring a liquid from a container to a differently shaped container
Pentominoes Explore the perimeter of different pentominoes
Space Blocks Construct figures with a given surface area

Chapter 14
Algebra Balance Scales Solve simple linear equations with one unknown using a balance scale
Algebra Balance Scales-Negatives Solve simple linear equations with integers and one unknown using a balance scale
Color Chips-Addition Use colored chips to model and solve addition equations with integers
Color Chips-Subtraction Use colored chips to model and solve subtraction equations with integers
Counting All Pairs Plot points on a coordinate grid
Geoboard-Coordinate Find the slope of a line
Geoboard-Coordinate Use a coordinate grid to locate shapes in two dimensions
Grapher Graph functions
Transformations-Composition Explore the effect of two transformations of a figure
Transformations-Dilation Create figures with pattern blocks and explore dilations
Transformations-Reflection Create figures with pattern blocks and explore reflections
Transformations-Rotation

Create figures with pattern blocks and explore rotations

Transformation-Translation

Create figures with pattern blocks and explore translations

Triominos Flip or rotate triangular triominoes to build different figures
Turtle Geometry

Use action buttons to direct a turtle to a given destination

Turtle Rectangles Explore the commands to draw different rectangles