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Curriculum for Kindergarten

From number recognition to counting and operations, students build the number sense and conceptual understanding they'll need for grade 1.

MODULE 1 Numbers to 10

Topic A: Identifying Same, Different, and Alike

Students consider the size, shape, and color of objects to determine whether they are the same, different, or alike. Additionally, they are introduced to dissimilar objects that "match" because of a related function, such as a sock and a shoe.

Identify two out of three objects that are the same

On a picture of three creatures, choose the two that are the same. Click on the ones that are exactly the same. The one that is different will be different color, have different features, and a different pose
Identify two out of three objects that are the same

Identify two out of three objects that are different

Learn how to tell if things are different. On a picture of three creatures, choose two that are not the same. Two will be exactly the same. The one that is different will be different color, have different features, and a different pose
Identify two out of three objects that are different

Identify differences between two similar images

Compare two pictures and find 5 difference between between them
Identify differences between two similar images

Identify items that belong together based on their use

Match things that are used together. Select the item out of three choices that is used with a given item. Move the correct item next to the picture. Then, match three pictures to the items they are commonly used with
Identify items that belong together based on their use

Identify whether two objects have the same shape (with different colors and patterns)

State whether two objects have the same shape. One shape is given, then different shapes in various colors and patterns scroll next to it. Click a check or an x to state whether the shapes match
Identify whether two objects have the same shape (with different colors and patterns)

Identify whether two objects have the same color (with different shapes and patterns)

Learn to compare the color of two objects. The objects may have a single color or a pattern made of two colors. Click Check or X to state whether the colors of two figures match
Identify whether two objects have the same color (with different shapes and patterns)

Identify whether two objects have the same pattern (with different shapes and colors)

Compare the pattern on two objects. Match each of three figures to the same pattern in gray by dragging the gray pattern up to its partner. Then click Check or X to state whether the patterns of two figures match
Identify whether two objects have the same pattern (with different shapes and colors)

Identify whether shape, color, or pattern is the same among two objects

Identify the similar characteristic of two shapes. The shapes can vary in form, pattern, and color
Identify whether shape, color, or pattern is the same among two objects

Topic B: Sorting and Counting Similar Objects

Students sort similar objects based on narrow categories (such as "bears"), broad categories (such as "clothes"), and self-determined categories. They identify objects that do not belong in a group without being given the name of the category. Finally, students count to determine the total number of objects in a group.

Topic C: Numbers to 5 in Different Configurations, Math Drawings, and Expressions

Students count in sequence to determine position or total up to 5. They relate objects to digits and see digits in a variety of fonts. They work with aligned objects, scattered objects, fingers, and the number line. Students learn strategies for counting with 1:1 match and learn that sets of objects with the same total can be aligned in different ways.

Match a numbered set of 1, 2, or 3 cubes to an identical numbered set of cubes

Match sets of cubes. A person with 1-3 cubes is shown. Then, there are three other people with sets of cubes. Select the set that matches the first set. The numbers are written in different fonts to practice number recognition
Match a numbered set of 1, 2, or 3 cubes to an identical numbered set of cubes

Match numbered and non-numbered sets of cubes to a number 1-3

Select the pictures that show the stated number (1, 2, or 3) of cubes. Four pictures are given in each problem. The numbers are written in different fonts to practice number recognition. Some numbers are obscured to encourage counting the cubes
Match numbered and non-numbered sets of cubes to a number 1-3

Match sets of cubes to numbers 1-3

Given images with the numbers 1-3 and cards with sets of cubes, drag the correct set of cubes to each number. The numerals and the sets are in random order. Three sets of cubes and numbers are shown at a time
Match sets of cubes to numbers 1-3

Match numbers 1-3 to their positions on a number line labeled with numbers and dot patterns

Put numbers on a number line. Drag the numbers 1-3 to their appropriate location on a number line. The number line spans the numbers 0 to 10 and is labeled with the numbers and dot patterns of each number. The numbers are presented in various fonts
Match numbers 1-3 to their positions on a number line labeled with numbers and dot patterns

Identify a numbered set of cubes that matches an identical set of 4 or 5 numbered cubes

Match sets of cubes. One person with 4 or 5 cubes is shown. Then, there are three other people with sets of cubes ranging from 2 to 5. Select the set that matches the first set. The numbers are written in different fonts to practice number recognition
Identify a numbered set of cubes that matches an identical set of 4 or 5 numbered cubes

Match numbered and non-numbered sets of cubes to number 4 or 5

Select the pictures that show the stated number (4 or 5) of cubes. Four pictures are given in each problem. The numbers are written in different fonts to practice number recognition. Some numbers are obscured to encourage counting the cubes
Match numbered and non-numbered sets of cubes to number 4 or 5

Count 2-5 aligned objects to determine the total

Given a row of 2-5 cubes, type or select the number of cubes shown
Count 2-5 aligned objects to determine the total

Match numbers 1-5 to arrangements of fingers displayed on a hand

Match a hand with the a number of fingers displayed to the correct numeral. Three numbers and hands are shown at a time
Match numbers 1-5 to arrangements of fingers displayed on a hand

Match sets of cubes to numbers 1-5

Match a set of objects to the number. Given images with the numbers 1-5 and cards with sets of cubes, drag the correct set of cubes to each number. The numerals and the sets are in random order. Three sets of cubes and numbers are shown at a time
Match sets of cubes to numbers 1-5

Identify numbered sets of cubes that match a given total up to 5

Select the pictures that show the stated number (1-5) of cubes. Four pictures with sets of cubes are given in each problem. More than one picture may contain the desired number of cubes, so select all that apply
Identify numbered sets of cubes that match a given total up to 5

Match numbers 1-5 to their positions on a number line labeled with numbers and dot patterns

Drag the numbers 1-5 to their appropriate location on a number line. The number line spans the numbers 0 to 10 and is labeled with the numbers and dot patterns of each number. The numbers to drag are presented in various fonts
Match numbers 1-5 to their positions on a number line labeled with numbers and dot patterns

Align scattered objects to count and determine the total

A randomly arranged set of objects (1-5) is presented. Drag the objects to a box to line them up to make it easier to count. Then, type or select the number shown
Align scattered objects to count and determine the total

Count to find the total of scattered objects by matching 1:1 numbers to objects

Count the number of objects shown. Click on them to change their color to mark that they have been counted. Then, select the number
Count to find the total of scattered objects by matching 1:1 numbers to objects

Identify a set of scattered objects that matches a given total up to 5

Count the number of objects shown. Type or select the number. Then, given a statement of how many objects to find, select the container that has the correct number of items in it
Identify a set of scattered objects that matches a given total up to 5

Topic D: The Concept of Zero and Working with Numbers 0 - 5

Students use digits 1-5 to sequence objects and to determine position or total. They work with aligned objects, scattered objects, and the number line. They explore the composition of the number 3 and begin using +, -, and = signs.

Identify sets of 0 among sets of scattered objects

Learn how to count backwards from 3 to 0 by selecting how many objects are in a series of images where one is removed in each consecutive picture. Then, choose a set that contains 0 from a choice of 3-4 pictures
Identify sets of 0 among sets of scattered objects

Identify a set of scattered objects that matches a given total up to 5

Select the correct choices out of 4 pictures for the states number of objects. The pictures contain a person, a set of linking cubes, and the number of cubes
Identify a set of scattered objects that matches a given total up to 5

Sequence scattered objects numbered 1-5 in ascending order (Part 1)

There are pictures of train cars with the numbers 1-5 on them. Line them up in increasing order behind the engine labeled with a 0
Sequence scattered objects numbered 1-5 in ascending order (Part 1)

Sequence scattered objects numbered 1-5 in ascending order (Part 2)

Learn how to count backwards. There are pictures of train cars with the numbers 0-4 on them. Line them up in decreasing order behind the engine labeled with a 5
Sequence scattered objects numbered 1-5 in ascending order (Part 2)

Continue a count sequence on a number line from a given point to reach a given position

Practice counting to 5. A grasshopper starts at 0 on the number line and jumps to each number. Type in the number where he stops, counting all the way 5
Continue a count sequence on a number line from a given point to reach a given position

Identify missing numbers up to 5 on a numbered number line

Given a number line from 0 to 10, type in the missing numbers. The numbers will be between 1 and 5. Each exercise will be missing one or two numbers
Identify missing numbers up to 5 on a numbered number line

Identify the object at a given position in a set of aligned objects

Move an object to a stated location. First, fill in the numbers as the object pauses at each location until it reaches the given point. Then, move the object to the correct location with or without labeled numbers
Identify the object at a given position in a set of aligned objects

Identify the position of an object in a set of aligned objects

Type the number of a location in a set of aligned doors. There are 8 doors and the location will be a number between 1 and 5
Identify the position of an object in a set of aligned objects

Topic E: Working with Numbers 6 - 8 in Different Configurations

Students count in sequence to determine position or total up to 9. They relate objects to digits and see digits in a variety of fonts. They work with aligned objects, scattered objects, fingers, and the number line. Students learn strategies for counting with 1:1 match and learn that sets of objects with the same total can be aligned in different ways.

Recognize that one more than 5 is 6

Learn the number 6. Five items are shown. Select the correct numeral to represent that. Then, another item is added, showing that the digit 6 comes after 5
Recognize that one more than 5 is 6

Recognize that one more than 6 is 7

Learn the number 7. Six items are shown. Select the correct numeral to represent that. Then, another item is added, showing that the digit 7 comes after 6
Recognize that one more than 6 is 7

Identify the number of fingers up to 7 displayed on two hands

Two hands are displayed showing between 0 and 7 fingers. Click or type the number of fingers shown
Identify the number of fingers up to 7 displayed on two hands

Match numbers 0-7 to arrangements of fingers displayed on two hands

Three numbers and three pictures of hands displaying fingers are shown. Match the hands to the numbers 0-7
Match numbers 0-7 to arrangements of fingers displayed on two hands

Identify a set of aligned objects that matches a given total up to 7

Identify the image showing up to 7 cubes. Three choices of rows of cubes are given. Click on the one that matches the number
Identify a set of aligned objects that matches a given total up to 7

Match numbered patterns of dots to an identical numbered pattern of dots up to 7

Match numbered dot patterns. Small octopuses are holding flags with numbers and dot patterns. Drag all that match the father octopus' number and pattern over to him. The numbers are written in various fonts
Match numbered patterns of dots to an identical numbered pattern of dots up to 7

Identify sets of numbered cubes that match a given total of 6 or 7 (Part 1)

Identify the number of cubes shown, out of an option of two numbers. Then, a cube is added. Identify the number again for a total of 6 or 7. Select the pictures with the same total of cubes. The digits on the pictures are written in a variety of fonts
Identify sets of numbered cubes that match a given total of 6 or 7 (Part 1)

Identify sets of numbered cubes that match a given total of 6 or 7 (Part 2)

Choose sets that contain a stated total. Select all pictures that contain the given number of cubes (6 or 7). The digits in the pictures are written in a variety of fonts and the cubes are arranged in various configurations
Identify sets of numbered cubes that match a given total of 6 or 7 (Part 2)

Match numbers 1-7 to their positions on a number line labeled with numbers and dot patterns

Given a number line, drag two numbers between 1 and 7 to their correct location on the line. The number line is labeled with the numbers 0 through 10 and dot patterns representing the numbers. The digits to drag are written in a variety of fonts
Match numbers 1-7 to their positions on a number line labeled with numbers and dot patterns

Count objects as they move away from a set and identify the total

Birds fly away from a tree, one at a time. Count the birds that leave and type or select the number of how many flew away
Count objects as they move away from a set and identify the total

Count scattered objects two different ways to arrive at the same total

Learn that the order in which a set is counted does not change the total. Follow the arrows to click on beads to change their color and count them. Then, enter the number. Count the items in a different order and enter the number again
Count scattered objects two different ways to arrive at the same total

Recognize that one more than 7 is 8

Learn the number 8. Seven items are shown. Select the correct numeral to represent that. Then, another item is added, showing that the digit 8 comes after 7
Recognize that one more than 7 is 8

Identify the number of fingers up to 8 displayed on two hands

Two hands are displayed showing between 0 and 8 fingers. Click or type the number of fingers shown
Identify the number of fingers up to 8 displayed on two hands

Match numbers 0-8 to arrangements of fingers displayed on two hands

Three numbers and three pictures of hands displaying fingers are shown. Match the hands to the numbers 0-8
Match numbers 0-8 to arrangements of fingers displayed on two hands

Identify a set of aligned objects that matches a given total up to 8

Identify the image showing up to 8 cubes. Three choices of rows of cubes are given. Click on the one that matches the number
Identify a set of aligned objects that matches a given total up to 8

Identify sets of numbered cubes that match a given total up to 9 (Part 1)

Identify the number of cubes shown, out of an option of two numbers. Then, one cube at a time is added. Identify the number again for a total of 8. Three or four pictures are then shown. Select the ones with the same total of cubes. The digits on the pict
Identify sets of numbered cubes that match a given total up to 9 (Part 1)

Identify sets of numbered cubes that match a given total up to 9 (Part 2)

Select all of the pictures that contain the given number of cubes, up to 9. The digits in the pictures are written in a variety of fonts and the cubes are arranged in various configurations
Identify sets of numbered cubes that match a given total up to 9 (Part 2)

Count objects as they move away from a set and identify the total

Birds fly away from a tree, one at a time. Count the birds that leave and type or select the total of how many flew away
Count objects as they move away from a set and identify the total

Count scattered objects two different ways to arrive at the same total

Learn that the order in which a set is counted does not change the total. Follow the arrows to click on beads to change their color and count them. Then, enter the number. Count them again in a different order and enter the number again
Count scattered objects two different ways to arrive at the same total

Identify the total number of scattered objects after a known total has been rearranged

Learn that the number of objects does not change when they are moved around. Count the items in a container and enter the total. Then, the items move around. Count them again and enter the total
Identify the total number of scattered objects after a known total has been rearranged

Topic F: Working with Numbers 9 - 10 in Different Configurations

Students work increasingly with 0 and with numbers 6-10 to determine totals and recognize digits. They work with scattered objects, non-identical objects, fingers, and the number line.

Recognize that one more than 8 is 9

Learn the number 9. Eight items are shown. Select the correct numeral to represent that. Then, another item is added, showing that the digit 9 comes after 8
Recognize that one more than 8 is 9

Determine the total of up to 9 scattered objects

A randomly arranged set of up to 9 objects is presented. Drag the objects to a box to line them up to make it easier to count. Then, enter the number shown
Determine the total of up to 9 scattered objects

Count out a given number of objects from a larger set

Learn to select a specific number of items from a larger set. A large group of objects is given. Place a specified number (1-9) of them into a box. Drag the correct number of objects to the box
Count out a given number of objects from a larger set

Determine the total of up to 9 scattered objects

A randomly arranged set of up to 9 objects is presented. Click on each to change its color to make it easier see which ones have been counted. Then, enter the number shown
Determine the total of up to 9 scattered objects

Match patterns of dots to their numbered position on a number line

A number line ranging from 0 to 10 and two circles with dot patterns representing a number from 0-9 are shown. Drag each circle to the matching number on the number line
Match patterns of dots to their numbered position on a number line

Determine the total of up to 9 non-identical scattered objects

There are a up to 9 bears hiding among trees. Count the number of bears and enter the total number
Determine the total of up to 9 non-identical scattered objects

Match sets of non-identical objects to numbers up to 9

Three sets of up to 9 items are given. Match them to one of three pictures with the correct number
Match sets of non-identical objects to numbers up to 9

Match numbered patterns of dots to an identical numbered pattern of dots up to 9

Distinguish between similar-looking numerals. Small octopuses are holding flags with numbers and dot patterns. Match them to one of the two father octopuses. Not all of the small octopuses have a matching father. The numbers are written in various fonts
Match numbered patterns of dots to an identical numbered pattern of dots up to 9

Identify sets of numbered cubes that match a given total 0-10

Learn the number 10. Identify the number of cubes shown. Identify the number in each row for a total of 10. Three or four pictures are then shown. Select the ones with the same total of cubes. The digits on the pictures are written in a variety of fonts
Identify sets of numbered cubes that match a given total 0-10

Identify a set of scattered objects that matches a given total up to 10

Identify the container with the given number of objects. Three containers are shown. Count the objects inside and the select the one with the correct number of items
Identify a set of scattered objects that matches a given total up to 10

Match numbered patterns of dots to an identical numbered pattern of dots up to 10

Small octopuses are holding flags with numbers and dot patterns up to 10. Drag all that match the father octopus' number and pattern over to him. The numbers are written in various fonts
Match numbered patterns of dots to an identical numbered pattern of dots up to 10

Match numbers 0-10 to their position on a number line labeled with numbers and dot patterns

Drag the numbers 0-10 to their appropriate location on a number line. The number line spans the numbers 0 to 10 and is labeled with the numbers and dot patterns of each number. The numbers to drag are presented in various fonts
Match numbers 0-10 to their position on a number line labeled with numbers and dot patterns

Continue a count sequence on a number line from a given point to reach a given position

Practice counting to 10. A grasshopper starts at a number on the number line and jumps to each number. Enter each consecutive numbers to get him to keep jumping until he reached the destination number
Continue a count sequence on a number line from a given point to reach a given position

Identify missing numbers up to 9 on a numbered number line

Given a number line from 0 to 10, type in the missing numbers. The numbers will be between 1 and 9. Each exercise is missing two or three numbers
Identify missing numbers up to 9 on a numbered number line

Topic G: One More with Numbers 0 - 10

Students use familiar representations (objects, base-10 blocks, the number line, and equations) to explore the concept of one more. They begin to count on rather than count all.

Topic H: One Less with Numbers 0 - 10

Students use familiar representations (objects, base-10 blocks, the number line, and equations) to explore the concept of one less. They alternate between +1 and -1 to solve problems.

Identify missing numbers on a number line numbered 9-1

Learn to count backwards. Enter two missing numbers in a reversed number line
Identify missing numbers on a number line numbered 9-1

Determine one more and one less on a number line

State the number one more and one less than a given number on a number line. The number line is labeled with 0 and 10 and the starting value. Enter the number to the left and right of the starting value
Determine one more and one less on a number line

Continue a count sequence on a number line from a given point counting back

Count backwards within 10 to 0. Given a number line, count backwards all the way from 10 to 0 once. Then, practice counting two numbers to the left from a given number, entering the second number
Continue a count sequence on a number line from a given point counting back

Solve -1 equations based on a model of base-10 blocks

Learn the subtraction of 1. A row of cubes is displayed and the last one pops when clicked. Enter the number of cubes remaining and the answer to the subtraction equation
Solve -1 equations based on a model of base-10 blocks

Solve -1 equations based on a number line model

Use a number line to find the answer to a -1 equation. Only the numbers 0, 5, and 10 are labeled on the number line. A cricket jumps one number to the left. Enter the number where he lands, then enter that same number as the answer to the equation
Solve -1 equations based on a number line model

Solve -1 equations (Level 1)

Practice subtracting 1. Either a model with cubes or a number line is given to help with finding the answer
Solve -1 equations (Level 1)

Solve -1 problems based on a known total and a scenario using objects

Count the items in a jar and enter the number. Then, a second jar is shown where the items rearrange and one object is removed. In some problems, the first amount is written on the jar, hiding the items, and one item is removed. Enter the new total
Solve -1 problems based on a known total and a scenario using objects

Solve -1 problems based on a known total and a scenario using objects

State the total after one object is removed from a known number. A jar is shown with a statement of how many it contains. One item is removed. Enter the new total
Solve -1 problems based on a known total and a scenario using objects

Solve -1 equations (Level 2)

Practice subtracting 1. Only a subtraction equation is shown. Enter the sum
Solve -1 equations (Level 2)

Solve +1 and -1 equations based on a model of base-10 blocks

Practice a mix of problems using addition and subtraction of 1. Blocks are used to model the equation to be solved. Enter the number of blocks and the answer to the equation
Solve +1 and -1 equations based on a model of base-10 blocks

Solve +1 and -1 equations based on a number line model

Practice a mix of problems using addition and subtraction of 1. A number line from 0 to 10 is used to model the equation to be solved. Enter the number of blocks and the answer to the equation
Solve +1 and -1 equations based on a number line model

Solve +1 and -1 problems based on a known total and a scenario using objects

Practice a mix of problems using addition and subtraction of 1. A jar of items is used to model the equation to be solved. Enter the number of blocks and the answer to the equation
Solve +1 and -1 problems based on a known total and a scenario using objects

Solve +1 and -1 equations

Solve equations involving adding or subtracting 1. No model is used. Only the equation is shown. Enter the answer
Solve +1 and -1 equations

MODULE 2 Two-Dimensional and Three-Dimensional Shapes

Topic A: Two Dimensional Flat Shapes

Students become familiar with the appearance and names of two-dimensional shapes. They work with squares, circles, triangles, rectangles, and hexagons. Students identify examples from among non-examples. Our sound feature allows non-readers access to shape names.

Identify positions above and below an object

Learn to identify the position as above or below an object. Select the stated location by clicking on the correct position
Identify positions above and below an object

Position objects above and below an object

Position 1 or 2 objects above or below to a stationary object. Select both the correct location and the correct color as directed
Position objects above and below an object

Position an object in front of or behind an object (Part 1)

Learn to identify the position as in front of or behind an object. Select the stated location by clicking on the correct position
Position an object in front of or behind an object (Part 1)

Position an object in front of or behind an object (Part 2)

Identify a location as "in front of" or "behind" an object. Drag a character to the stated position
Position an object in front of or behind an object (Part 2)

Identify the lines

Learn to identify lines. Select lines in various orientations from among a group containing lines and curves
Identify the lines

Identify curved lines

Learn to identify curves. Select curves in various orientations and forms from among a group containing lines and curves
Identify curved lines

Identify rectangles, triangles, or circles from among a set of shapes

Identify rectangles, triangles, and circles from sets of shapes. Click on the shapes that match the stated figure
Identify rectangles, triangles, or circles from among a set of shapes

Identify properties of triangles

Learn the characteristics of a triangle. Then, select those shapes that are triangles
Identify properties of triangles

Identify properties of rectangles

Learn the characteristics of a rectangle. Then, select those shapes that are rectangles
Identify properties of rectangles

Identify hexagons from among a set of shapes

Determine which of two shapes is a hexagon. Then, select all of the hexagons out of many shapes
Identify hexagons from among a set of shapes

Identify properties of hexagons

Learn the characteristics of a hexagon. Then, select those shapes that are hexagons to complete a picture
Identify properties of hexagons

Identify individual 2D shapes within a larger image

Use different colors to identify shapes. Follow the directions to color each type of shape in the specified color
Identify individual 2D shapes within a larger image

Identify real world objects composed of 2D shapes

Select real-world objects that contain a given shape out of a set of 6 objects. The shapes include circles, rectangles, and triangles
Identify real world objects composed of 2D shapes

Match real world objects to their 2D shapes

Select the correct 2-dimensional figure that models a real-world objects. The object and its matching figure may be oriented in different directions
Match real world objects to their 2D shapes

Match a 2D shape to its name

Given the name of a shape, match it to the correct shape. Click the x or checkmark next to each of the three shapes to indicate whether it matches the word
Match a 2D shape to its name

Identify shapes with a given number of sides, corners, or curved lines

Select the shapes that have the stated characteristic. Out of a set of 5 shapes, choose those that have the given number of sides or angles
Identify shapes with a given number of sides, corners, or curved lines

Identify 2D shapes and move them into positions above, below, in front of, and behind

Practice 2-dimensional shapes and position. Drag a specified shape to the directed location with respect to a static picture
Identify 2D shapes and move them into positions above, below, in front of, and behind

Topic B: Three-Dimensional Solid Shapes

Students become familiar with the appearance and names of three-dimensional shapes. They work with cubes, spheres, cones, and cylinders. Students also reinforce their understanding of positions (above, below, in front of, next to, and behind). Our sound feature allows non-readers access to shape names.

Sort shapes into the categories flat and solid

Learn to differentiate between 2-dimensional and 3-dimensional figures. Then, sort them into their categories
Sort shapes into the categories flat and solid

Match shapes to real-world objects

Match real-world objects to 3-dimensional solid figures
Match shapes to real-world objects

Identify cylinders from among 3-D shapes

Learn to identify cylinders from a set of 3-dimensional solids. Click on cylinders among a group of other solids
Identify cylinders from among 3-D shapes

Identify cones from among 3-D shapes

Practice identifying cones from a set of 3-dimensional solids. Click on cones among a group of other solids
Identify cones from among 3-D shapes

Identify cubes from among 3-D shapes

Learn to identify cubes from a set of 3-dimensional solids. Click on cubes among a group of other solids
Identify cubes from among 3-D shapes

Identify spheres from among 3-D shapes

Practice identifying spheres from a set of 3-dimensional solids. Click on spheres among a group of other solids
Identify spheres from among 3-D shapes

Identify 3-D shapes by name

Choose the correct name for a given solid. Two choices will be given
Identify 3-D shapes by name

Identify 3-D shapes among real-world objects

Find the basic 3-dimensional solid shapes used in pictures of real-life objects. When presented with a set of less than 10 pictures, click the ones that contain the specified solid
Identify 3-D shapes among real-world objects

Position 3-D shapes above, below, in front of, and behind an object

Practice 3-dimensional solids and position. Drag a specified solid to the directed location with respect to a static picture
Position 3-D shapes above, below, in front of, and behind an object

Identify objects in positions above, below, next to, and in front of

Practice the position words "above", "below", "next to", and "in front of". Click in one of two characters that are in the correct position relative to the stated character
Identify objects in positions above, below, next to, and in front of

Topic C: Two-Dimensional and Three-Dimensional Shapes

Students apply their previous understanding of flat and solid shapes to distinguish between the two.

MODULE 3 Comparison of Length, Weight, Capacity, and Numbers to 10

Topic A: Comparison of Length and Height

Using familiar, real objects, students use the language of comparison (tallest, taller, longest, longer, shortest, shorter) as they explore length.

Topic B: Comparison of Length and Height of Linking Cube Sticks Within 10

Students work with familiar linking cubes to count cubes to determine length of sticks. They compare lengths using longer, shorter, and the same as.

Topic C: Comparison of Weight

Using familiar, real objects, students use the language of comparison (heavier, lighter, about the same) as they explore weight. To do so, they employ a virtual balance scale to compare.

Topic D: Comparison of Volume

Students learn the word capacity and use it to measure the amount of liquid a container can hold. Using the unit "glasses," they measure by pouring glasses into a larger container and by pouring from a larger container into glasses. They also compare measured capacities of two containers.

Topic E: Are There Enough?

To prepare for comparing numbers, students work with real world objects to determine if there are "enough" to make pairs. They then determine whether a set of real objects has more than, fewer than, or the same as another set of objects.

Topic F: Comparison of Sets Within 10

Students compare two sets of objects using the words more, fewer, and same. They work with similar objects, both aligned and scattered.

Topic G: Comparison of Numerals

Students compare two sets of objects using the words more, fewer, and same. They work with similar and dissimilar objects, both aligned and scattered, in vertical and horizontal alignments. Finally, they begin to compare numbers.

MODULE 4 Number Pairs, Addition and Subtraction to 10

Topic A: Compositions and Decompositions of 2, 3, 4, and 5

Students use familiar base-10 blocks, scenarios with objects, the number line, and equations to explore basic concepts of addition. Students determine both sums and missing addends as they gradually move from concrete models to abstract equations.

Count unlike objects

Find a variety of colorful toys in a monochromatic room. Identify the number of toys fund
Count unlike objects

Count a set of objects and count two subsets by color

Find a set of objects. State the total number found, as well as the number of each of each color. Then, complete a number bond statement with the sum
Count a set of objects and count two subsets by color

Count a set of objects and count two subsets by color; identify total in a number bond

Determine the total number of gumballs in a machine. Then, identify how many there are of each of two colors. Complete a number bond statement with the sum
Count a set of objects and count two subsets by color; identify total in a number bond

Count a set of objects and count two subsets by color; identify addends in a number bond

Determine the total number of gumballs in a machine. Then, identify how many there are of each of two colors. Complete a number bond statement with the addends
Count a set of objects and count two subsets by color; identify addends in a number bond

Count a set of objects and count two subsets by color; identify number bond

Learn the format of a number bond. Using the decomposition of two colors of gum balls, the format is introduced. Then, three options are given to choose a correctly formatted number bond
Count a set of objects and count two subsets by color; identify number bond

Build a number bond based on a set of objects; identify an addend in the number bond (Part 1)

Create number bonds using a picture of objects in two different colors. Identify the sum and the addends, then drag them to their proper location in the bond
Build a number bond based on a set of objects; identify an addend in the number bond (Part 1)

Build a number bond based on a set of objects; identify an addend in the number bond (Part 2)

Write a number bond based on two colors of objects. Question prompts help to place the values in the correct locations on the bond
Build a number bond based on a set of objects; identify an addend in the number bond (Part 2)

Identify the missing number in a number bond based on a set of objects

Complete the missing value on a number bond. A picture of objects in two colors is provided
Identify the missing number in a number bond based on a set of objects

Build a number bond based on a set of objects; identify the total in the number bond

Build a number bond from objects in two colors found in a monochromatic picture. Fill in all of the numbers in the number bond. Also, complete a verbal statement of the relationship between the numbers
Build a number bond based on a set of objects; identify the total in the number bond

Topic B: Decompositions of 6, 7, and 8 into Number Pairs

Students extend their understanding of number bonds to totals of 6, 7, and 8. They work with sets of similar objects in two colors to count parts (by color) and total. They then use these numbers to build number bonds based on the picture of objects.

Build a number bond based on a set of objects; identify an addend in the number bond

Create number bonds using a picture of objects in two different colors. Identify the sum and the addends, then drag them to their proper location in the bond. Also, complete the missing addend in the verbal statement of the bond
Build a number bond based on a set of objects; identify an addend in the number bond

Identify the missing number in a number bond based on a set of objects

Complete the missing value on a number bond. Then, also complete the verbal statement of the bond. A picture of objects in two colors is provided
Identify the missing number in a number bond based on a set of objects

Build a number bond based on a set of objects; identify the total in the number bond (total of 6)

Build a number bond from objects in two colors found in a monochromatic picture. Fill in all of the numbers in the number bond. Also, complete a verbal statement of the relationship between the numbers
Build a number bond based on a set of objects; identify the total in the number bond (total of 6)

Color a set of objects in two colors to represent a given number bond

Paint a set of circles in two different colors to match a given number bond
Color a set of objects in two colors to represent a given number bond

Build a number bond based on a set of objects; identify the total in the number bond (total of 7)

Practice number bonds for a set of 7 eggs. First, choose the color and pattern of the eggs. Then, write the number bond for the set of eggs shown. Also, complete a verbal statement of the relationship between the numbers
Build a number bond based on a set of objects; identify the total in the number bond (total of 7)

Build a number bond based on a set of objects; identify the total in the number bond (total of 8)

Write number bonds for a set of 8 objects in two colors. Also, complete a verbal statement of the relationship between the numbers
Build a number bond based on a set of objects; identify the total in the number bond (total of 8)

Record a number bond based on a model students create (total of 7 or 8)

Write a number bond for a set of 7 or 8 objects. Color in the circles using two colors, then fill in the number bond that matches the color configuration. Also, fill in the blank in the number bond statement
Record a number bond based on a model students create (total of 7 or 8)

Topic C: Addition with Totals of 6, 7, and 8

Students deepen their understanding of addition by strengthening the connection between concrete objects, base-10 blocks, and equations. They determine both sums and missing addends. They record equations, including the + symbol.

Determine a missing addend and sum in addition equations to 5 based on a scenario with objects

Complete an addition equation. An animation with a set of stationary objects and a set of objects that are added are given for a total of up to 5. Fill in the blanks in the addition equation
Determine a missing addend and sum in addition equations to 5 based on a scenario with objects

Use cubes to represent an addition scenario based on objects and match cube patterns to addition scenarios

Practice one-to-one correspondence. Model an addition scenario with cubes in two different colors
Use cubes to represent an addition scenario based on objects and match cube patterns to addition scenarios

Solve addition equations to 5 based on a model of base-10 blocks

Model an addition problem with cubes. First, represent the missing addend with cubes. Enter the new total after each added cube, then enter the solution to the equation. In other problems, the cube model is given, so just enter the sum
Solve addition equations to 5 based on a model of base-10 blocks

Determine a missing addends in equations with a sum of 4

Write the equation for a given cube model. Cubes in two colors are given. Write the addition equation representing the model. Prompts are given for each blank
Determine a missing addends in equations with a sum of 4

Solve +/- equations within 5 based on movements on a number line

Represent an addition word problem on a number line. Starting at a given value of the number line, move an additional amount for a total up to 5. The related addition equation is displayed after moving on the number line correctly
Solve +/- equations within 5 based on movements on a number line

Determine a missing addend in equations with a sum of 4

Find the missing term in an addition equation with a sum of 4. First, a cube model is provided. Then, fill in the blanks without a model
Determine a missing addend in equations with a sum of 4

Determine a missing addend in equations with a sum of 5

Find the missing term in an addition equation with a sum of 5. First, a cube model is provided. Then, fill in the blanks without a model
Determine a missing addend in equations with a sum of 5

Record addition scenarios with objects as equations to 5

Write an addition equation for an animation with a sum of 5. A number of stationary objects are shown. Then, additional objects appear. Write the equation with prompts for each blank
Record addition scenarios with objects as equations to 5

Use base-10 blocks to represent addition scenarios with objects to 5

Model an addition problem with cubes and write the equation. Represent an addition situation with cubes. Then fill in the addition equation without any prompts for the blanks
Use base-10 blocks to represent addition scenarios with objects to 5

Write an equation to match a number bond (total of 3, 4, or 5)

Write an equation represented by a number bond with a sum of 3, 4, or 5. Enter the numbers from the bond into the equation
Write an equation to match a number bond (total of 3, 4, or 5)

Complete addition equations with a sum of 6 based on a model of base-10 blocks

Complete all of the equations that have a sum of 6. Create a cube model a of each pair of addends. Fill in the blanks in the equations that match the models
Complete addition equations with a sum of 6 based on a model of base-10 blocks

Model addition scenarios to 6 on a number line and solve a related equation

Represent an addition word problem on a number line. Starting at a given value of the number line, move an additional amount for a total up to 6. Also, complete the addition equation that is represented by the number line
Model addition scenarios to 6 on a number line and solve a related equation

Write an equation to match a number bond (total of 6)

Write an equation represented by a number bond with a sum of 6. Enter the numbers from the bond into the equation
Write an equation to match a number bond (total of 6)

Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 6

Write the addition equation for a picture with a sum of 6. First, create a cube model of the situation. Then, write the equation represented by the cubes
Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 6

Determine a missing addend in equations with a sum of 6

Find the missing term in an addition equation with a sum of 6. At first, a cube model is provided. Then, fill in the blanks without a model
Determine a missing addend in equations with a sum of 6

Decompose a set of 7 objects into two groups and identify as addends in an equation

Complete all of the equations that have a sum of 7. Create a cube model of each pair of addends. Fill in the blanks in the equations that match the models
Decompose a set of 7 objects into two groups and identify as addends in an equation

Model addition scenarios to 7 on a number line and solve a related equation

Represent an addition word problem on a number line. Starting at a given value of the number line, move an additional amount for a total up to 7. Also, complete the addition equation that is represented by the number line
Model addition scenarios to 7 on a number line and solve a related equation

Write an equation to match a number bond (total of 7)

Write an equation represented by a number bond with a sum of 7. Enter the numbers from the bond into the equation
Write an equation to match a number bond (total of 7)

Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 7

Write the addition equation for a picture with a sum of 7. First, create a cube model of the animation. Then, write the equation represented by the cubes
Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 7

Determine a missing addend in equations with a sum of 7

Find the missing term in an addition equation with a sum of 7. At first, a cube model is provided. Then, fill in the blanks without a model
Determine a missing addend in equations with a sum of 7

Complete addition equations with a sum of 8 based on a model of base-10 blocks

Complete all of the equations that have a sum of 8. Create a cube model of each pair of addends. Fill in the blanks in the equations that match the models
Complete addition equations with a sum of 8 based on a model of base-10 blocks

Model addition scenarios to 8 on a number line and solve a related equation

Represent an addition word problem on a number line. Starting at a given value of the number line, move an additional amount for a total up to 8. Also, complete the addition equation that is represented by the number line
Model addition scenarios to 8 on a number line and solve a related equation

Write an equation to match a number bond (total of 8)

Write an equation represented by a number bond with a sum of 8. Enter the numbers from the bond into the equation
Write an equation to match a number bond (total of 8)

Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 8

Write the addition equation for a picture with a sum of 8. First, create a cube model of the animation. Then, write the equation represented by the cubes
Represent addition scenarios with objects using base-10 blocks and record as an equation with a sum of 8

Determine a missing addend in equations with a sum of 8

Find the missing term in an addition equation with a sum of 8. At first, a cube model is provided. Then, fill in the blanks without a model
Determine a missing addend in equations with a sum of 8

Topic D: Subtraction from Numbers to 8

Students use familiar base-10 blocks, scenarios with objects, the number line, and equations to explore basic concepts of subtraction. Students determine both differences and missing subtrahends as they gradually move from concrete models to abstract equations. They also relate subtraction to addition through exploration of fact families.

Use base-10 blocks to represent subtraction scenarios with objects within 5 and identify base-10 block patterns that represent subtraction scenarios with objects within 5

Practice one-to-one correspondence. Model a subtraction animation with cubes. Click on a cube for each object that went away
Use base-10 blocks to represent subtraction scenarios with objects within 5 and identify base-10 block patterns that represent subtraction scenarios with objects within 5

Complete subtraction equations within 5 based on a scenario with objects

Represent a subtraction situation of up to 5 objects with an equation. An animation is shown with some items going away. Fill in the missing numbers in the subtraction equation. Prompts are given for each blank
Complete subtraction equations within 5 based on a scenario with objects

Record subtraction scenarios with objects within 5 as equations

Write a subtraction equation for up to 5 items. An animation is shown with some items going away. Fill in the blanks in the subtraction equation. Prompts are given for each blank
Record subtraction scenarios with objects within 5 as equations

Use base-10 blocks to represent subtraction scenarios with objects within 5 and record as an equation

Write the subtraction equation for an animation of up to 5 items. First, create a cube model of the animation. Then, write the equation represented by the cubes
Use base-10 blocks to represent subtraction scenarios with objects within 5 and record as an equation

Solve subtraction equations within 5 based on a model of base-10 blocks

Use a cube model to solve a subtraction equation. Given the total number of cubes, remove one at a time and state the difference. Then, enter the answer to the problem
Solve subtraction equations within 5 based on a model of base-10 blocks

Complete +/- equations within 5 based on a model of base-10 blocks

Write a subtraction equation for up to 5 items. An animation of cubes is shown with some cubes disappearing. Fill in the blanks in the subtraction equation
Complete +/- equations within 5 based on a model of base-10 blocks

Determine a missing subtrahend in subtraction equations within 5

Complete the subtraction equation with a total of up to 5. First, a row of cubes is provided and some cubes start disappearing. Enter the missing value in the equation. Then, just the equation is shown with a number missing. Enter the correct value
Determine a missing subtrahend in subtraction equations within 5

Record subtraction scenarios with objects within 5 as equations with a difference of 0

Write the subtraction equation for an animation of up to 5 items. A set of birds are shown in nests, then some fly away. Write the equation representing the scenario
Record subtraction scenarios with objects within 5 as equations with a difference of 0

Record subtraction scenarios on a number line within 5 as equations with a difference of 0

Use a number line to model the subtraction situation. A grasshopper moves forward and backward on a number line. The backward movement indicates subtraction. Write the equation that represents the jumps of the grasshopper
Record subtraction scenarios on a number line within 5 as equations with a difference of 0

Solve +/- equations within 5

Practice solving a mix of addition and subtraction equations within 5. Enter the answer to each of the two related problems that are show on each screen
Solve +/- equations within 5

Use base-10 blocks to model a subtraction scenario with objects within 8 and record as an equation

Write the subtraction equation for an animation of up to 8 items. First, create a cube model of the animation. Then, write the equation represented by the cubes
Use base-10 blocks to model a subtraction scenario with objects within 8 and record as an equation

Complete +/- equations within the fact family of 6 based on a model of base-10 blocks

Practice solving a mix of addition and subtraction equations within 6. A set of cubes representing a fact family are shown. Complete the related equations that are show on each screen
Complete +/- equations within the fact family of 6 based on a model of base-10 blocks

Complete +/- equations within the fact family of 7 based on a model of base-10 blocks

Practice solving a mix of addition and subtraction equations within 7. A set of cubes representing a fact family are shown. Complete the related equations that are show on each screen
Complete +/- equations within the fact family of 7 based on a model of base-10 blocks

Topic E: Decompositions of 9 and 10 into Number Pairs

Students use familiar scenarios with objects, base-10 blocks, and equations to extend their understanding of addition and subtraction to include 9 and 10. Students explore the composition of these totals to strengthen their awareness of number bonds.

Record a number bond based on a scenario with 9 real objects (begin with total)

Learn how to write number bonds. Identify the total number of objects and transfer that information into a number bond graphic. Then, identify how many of each of two types are shown and type it in the number bond graphic. Also, complete the statement
Record a number bond based on a scenario with 9 real objects (begin with total)

Record a number bond based on a scenario with 9 real objects (unaligned)

Complete the number bond for a set of 9 scattered objects. Fill in the missing numbers in a number bond based on a given picture. Prompts are given to assist with entering the correct numbers. Also, complete the number bond statement
Record a number bond based on a scenario with 9 real objects (unaligned)

Record a number bond based on a scenario with 9 real objects (missing total)

Write the number bond for a set of 9 objects. Fill in the missing numbers in a number bond based on a given picture. No assistance is given for filling in the blanks. Also, complete the number bond statement
Record a number bond based on a scenario with 9 real objects (missing total)

Record a number bond based on a scenario with 9 real objects

Complete the number bond for a picture of 9 objects in rows. Fill in all of the values in the correct places without additional assistance. Also, fill in the blank in the number bond statement
Record a number bond based on a scenario with 9 real objects

Record a number bond based on a scenario with 9 real objects (unaligned)

Complete the number bond for a picture of 9 scattered objects. Fill in all of the values in the correct places without additional assistance. Also, fill in the blank in the number bond statement
Record a number bond based on a scenario with 9 real objects (unaligned)

Record a number bond based on a scenario with 10 real objects (begin with total)

Learn how to write number bonds. Identify the total number of objects and transfer that information into a number bond graphic. Then, identify how many of each of two types are shown and ttype it in the number bond graphic. Also, complete the statement
Record a number bond based on a scenario with 10 real objects (begin with total)

Record a number bond based on a scenario with 10 real objects (missing element)

Complete the number bond for a set of 10 scattered objects. Fill in the missing numbers in a number bond based on a given picture. Prompts are given to assist with entering the correct numbers. Also, complete the number bond statement
Record a number bond based on a scenario with 10 real objects (missing element)

Record a number bond based on a scenario with 10 real objects (missing addend)

Complete the number bond for a picture of 10 objects in rows. Fill in all of the values in the correct places without additional assistance. Also, enter the missing number in the number bond statement
Record a number bond based on a scenario with 10 real objects (missing addend)

Record a number bond based on a scenario with 10 real objects

Write the number bond for a picture of 10 objects in rows. Fill in all of the values in the correct places without additional assistance. Also, enter the missing number in the number bond statement
Record a number bond based on a scenario with 10 real objects

Record a number bond based on a scenario with 10 real objects (unaligned)

Complete the number bond for a set of 10 scattered objects. Fill in the missing numbers in a number bond based on a given picture without additional prompts. Also, complete the number bond statement
Record a number bond based on a scenario with 10 real objects (unaligned)

Topic F: Addition with Totals of 9 and 10

Students apply their understanding of composition of 9 and 10 to solve missing-addend problems.

Solve +/- equations within 9 based on a model of base-10 blocks

Practice solving addition problems with a sum up to 9. A cube model is given. First, drag additional cubes to the model to build the sum. Then, give the answer from a picture of the cube model without interaction
Solve +/- equations within 9 based on a model of base-10 blocks

Complete addition equations to 9 based on a model of base-10 blocks

Complete all of the equations that have a sum of 9. Create a cube model of each pair of addends. Fill in the blanks in the equations that match the models
Complete addition equations to 9 based on a model of base-10 blocks

Record an equation based on a model of base-10 blocks (total of 9)

Write the equation for a given cube model. Cubes in two colors are given. Write the addition equation representing the model. Initially, prompts are given for each blank, then practice equations without assistance
Record an equation based on a model of base-10 blocks (total of 9)

Complete addition equations to 10 based on a model of base-10 blocks

Complete all of the equations that have a sum of 10. Create a cube model of each pair of addends. Fill in the blanks in the equations that match the models
Complete addition equations to 10 based on a model of base-10 blocks

Solve +/- equations within 10 based on a model of base-10 blocks

Practice solving addition problems with a sum up to 10. A cube model is given. First, drag additional cubes to the model to build the sum. Then, give the answer from a picture of the cube model without interaction
Solve +/- equations within 10 based on a model of base-10 blocks

Determine a missing addends in equations with a sum of 10

Write the equation for a given cube model with a sum of 10. Cubes in two colors are given. Write the addition equation representing the model. Initially, prompts are given for each blank, then practice equations without assistance
Determine a missing addends in equations with a sum of 10

Determine a missing addend in an equation with a sum of 9 or 10 based on a model of base-10 blocks

Complete the addition equation for a sum of 9 or 10. A cube model is shown. Enter the missing term
Determine a missing addend in an equation with a sum of 9 or 10 based on a model of base-10 blocks

Topic G: Subtraction from 9 and 10

Students work with both addition and subtraction to reinforce understanding of underlying concepts. They represent scenarios with objects using base-10 blocks and represent base-10 blocks as equations.

Use base-10 blocks to model an addition scenario with objects to 9 and record as an equation

Write the subtraction equation for an animation with a total of up to 9. First, represent the animated scenario with a cube model. Then, write the equation represented by the cubes
Use base-10 blocks to model an addition scenario with objects to 9 and record as an equation

Model +/- scenarios within 9 on a number line and solve a related equation

Complete the equation represented on the number line. Move the grasshopper forwards or backwards within 9 as specified by the prompt. Enter its final location as the answer to the equation
Model +/- scenarios within 9 on a number line and solve a related equation

Model +/- scenarios within 10 on a number line and solve a related equation

Complete the equation represented on the number line. Move the grasshopper forwards or backwards within 10 as specified by the prompt. Enter its final location as the answer to the equation
Model +/- scenarios within 10 on a number line and solve a related equation

Complete +/- equations within the fact family of 9 based on a model of base-10 blocks

Practice solving a mix of addition and subtraction equations with a total of 9. A set of cubes representing a fact family are shown. Complete the related equations that are show on for each model
Complete +/- equations within the fact family of 9 based on a model of base-10 blocks

Complete +/- equations within the fact family of 10, including turnaround facts

Practice solving a mix of addition and subtraction equations within 10. Only the equations are presented with no model
Complete +/- equations within the fact family of 10, including turnaround facts

Record a number line addition scenario to 10 as and equation and solve a related subtraction equation

Write an addition equation based on the number line shown. A grasshopper takes two jumps from 0 to 10. Record the location of the first jump and the distance of the second jump in the addition equation. Then, solve the related subtraction problem
Record a number line addition scenario to 10 as and equation and solve a related subtraction equation

Determine a missing subtrahend in subtraction equations from 10

Complete the subtraction equation with a total of 10. At first, a row of cubes is provided and some cubes start disappearing. Enter the missing value in the equation. Then, just the equation is shown with a number missing. Enter the correct value
Determine a missing subtrahend in subtraction equations from 10

Complete +/- equations within the fact family of 10 based on a model of base-10 blocks

Practice solving a mix of addition and subtraction equations with a total of 10. A set of cubes representing a fact family are shown. Complete the related equations that are show on for each model
Complete +/- equations within the fact family of 10 based on a model of base-10 blocks

Record +/- scenarios with base-10 blocks as equations within 10

Write addition and subtraction equations within 10. A cube model is shown. Write the associated equation
Record +/- scenarios with base-10 blocks as equations within 10

Topic H: Patterns with Adding 0 and 1 and Making 10

Students continue to complete familiar tasks, now using 0 as an addend, subtrahend, or difference. They use scenarios with objects, a number line, and equations.

MODULE 5 Numbers 10 - 20 and Counting to 100

Topic A: Count 10 Ones and Some Ones

Students differentiate a "ten" from ones using a ten-frame or rod. They begin to explore the composition of 2-digit numbers and number names. These exercises form a foundation for later learning about place value and addition strategies. Students use the vertical number line for the first time.

Topic B: Decompose Numbers 11 - 20, and Count to Answer "How Many?"

Students further their understanding of teen numbers by applying them to positions on a number line and simple equations.

Topic C: Represent and Apply Compositions and Decompositions of Teen Numbers

Students sort, count, add and subtract a ten and ones. They see a group of ten displayed to the right of ones as well as to the left and see both vertical and horizontal alignments of 10 objects. They solve for different positions in +/- equations in which all of the ones or a whole ten are added or subtracted.