Curriculum for Kindergarten

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 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 differences between two similar images

Compare two pictures and find 5 difference between between them

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 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 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 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 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

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.

Sort similar objects into given categories

Sort five objects into two categories. Drag each picture to the correct box. One picture will be left out of the boxes

Sort objects into self-determined groups

Sort 4-5 objects into two categories. Drag each picture to the correct category box. Then, decide how to separate 4-5 objects into two boxes without being given the category

Identify which of four objects does not fit with the group

Select the item that is different. Given four pictures, choose the one that does not belong in the same category as the other three

Identify objects that belong to a category and count the total

In a picture, find all of the items that belong to a given category. Then, identify the number of items found

Count totals of objects in a category

Select the correct number for the picture shown. Then, match the correct number to the picture given 3 pictures and three number choices. The numbers are less than 5

Identify sets of objects with a given total

Identify the set that contains the stated number of items. Two or three choices are given. The numbers are less than 5

Identify a set of objects with a given total

Identify the picture with the stated number in it. From four pictures, choose two that contain the correct number of objects

Sort objects into two groups and identify totals

Given a mixed set of two types of objects, sort them into two groups. Then, identity the number of objects in each group. The set contain less than 5 objects each

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 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 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 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

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

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

Count 2-5 aligned objects to determine the total

Given a row of 2-5 cubes, type or select the number of cubes shown

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 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

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

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

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

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

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

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 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

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 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

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

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 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 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

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 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

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

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

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

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

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 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

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

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 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

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

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

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

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 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 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

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 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

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

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

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

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

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

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

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

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 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

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 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

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 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

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

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

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.

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

Learn the addition of 1. A row of cubes is displayed and an additional cube pops out. Drag the extra cube into the row. Enter the total number of cubes shown and the answer to the addition equation

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

Count on from a point on a number line. Starting at a number on a 0-10 number line, enter the consecutive numbers shown by the arrow

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 from one number to another. Enter the number where he lands, then enter that same number as the answer to the equation

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 more object is added. In some cases, the first amount is written on the jar, hiding the items. Then, another object is added. Enter the new total

Solve +1 equations

Practice adding 1. Only an addition equation is shown. Enter the sum

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

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

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

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 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 (Level 1)

Practice subtracting 1. Either a model with cubes or a number line is given to help with finding the answer

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

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 equations (Level 2)

Practice subtracting 1. Only a subtraction equation is shown. Enter the sum

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 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 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 equations

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

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

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 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 2)

Identify a location as "in front of" or "behind" an object. Drag a character to the stated position

Identify the lines

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

Identify curved lines

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

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 properties of triangles

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

Identify properties of rectangles

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

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

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 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

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 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

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 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

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

Match shapes to real-world objects

Match real-world objects to 3-dimensional solid figures

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 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 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 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 3-D shapes by name

Choose the correct name for a given solid. Two choices will be given

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

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

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

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

Distinguish between flat and solid shapes

Differentiate between flat shapes and solid shapes. Following the directions, click on all of the correct type of shape out of the mixed set

Identify which shape in a set of three is not like the others

Choose the one shape of a set of three that is different from the other two. The differences can include flat versus solid figures or the shape of the figure

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

Determine which of two objects is longer or shorter

Learn the terms "longer" and "shorter". Two items are given. Drag them in the boxes to line them up and compare their lengths. Then, click on the correct one that the prompt asks for

Identify the longest or shortest object in a set

Compare the lengths of three similar items. Click on the item that is either the longest or the shorted, as specified by the prompt

Compare objects based on longer/shorter

Compare the lengths of three similar items. Click on the item that is shorter than or longer than one of the other two, as specified by the prompts

Determine which of two objects is taller

Compare objects by height. Move two objects closer together and then determine the taller one

Compare objects based on taller/tallest and shorter/shortest

Compare the heights of three objects. Following the prompt, select either the tallest or shortest of the set or identify the one that is taller or shorter than the one specified

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

Identify the longer or shorter of two linking cube sticks (aligned and unaligned)

Determine which of two sticks made of linking cubes is longer or shorter. Then, give the number of cubes of the selected stick

Identify two out of three linking cube sticks that are the same length

Choose two out of three sticks that have the same length. Then, identify the number of cubes used in each of those sticks

Build a stick of a given length of cubes or shorter, longer, the same as a given stick

Create sticks of a given length using linking cubes. Either a certain number of cubes will be specified, or directions will be to make a stick longer, shorter, or the same length as a given stick

Complete a statement comparing length of sticks

State the number of cubes in each of two linking cube sticks. Then, select the stick that is longer or shorter as the directions specify

Identify sticks that are longer than a given length (unaligned)

Out of a set of 5 unaligned linking cube sticks, choose all sticks that are longer than a given length

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.

Determine which of two objects is heavier or lighter

Compare two objects by weight. Place an object into a container. Then, compare the weight of the filled container to the empty container by selecting the heavier or lighter item as specified by the prompt

Determine which of two objects on a balance scale is heavier or lighter

Learn how to use a balance scale. Place an item on each end of the scale. Then, identify the lighter and heavier object, as prompted, by clicking on it

Determine which of two balance scales holds objects that are about the same weight

Identify items that have the same weight. Given two pictures of balance scales, select the one that shows items of the same weight

Identify which picture of objects on a balance scale matches a description of their weight (Level 1)

Practice reading balance scales. Given two pictures of balance scales, select the one that matches the problem statement

Identify which picture of objects on a balance scale matches a description of their weight (Level 2)

Practice reading balance scales. Given three pictures of balance scales, select the one that matches the problem statement

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.

Identify which of two containers has a greater capacity

Learn to compare capacity of two containers. Click on one of the two given containers to identify the one with greater capacity

Measure capacity by pouring

Pour the contents of glasses into a larger container or vice versa. Then, state how many glasses it took to fill the larger container or how many glasses can be filled from the larger container

Compare two containers based on measured capacities

Select the container that has the greater capacity based on the stated measured capacity. The containers vary in height, width, and form

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.

Pair objects and determine whether there are enough to complete each pair

Practice one-to-one correspondence by pairing objects. Determine if there are enough objects to create pairs

Compare paired objects to determine more, fewer, and the same as

Compare two sets of objects to determine if the sets are equal or which one has more or fewer. The objects are already paired

Show more, fewer, or the same number of objects as a given set of objects

Create a set of toys that contains the same number, fewer, or more objects than a given set. Identify the number of items in each set

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

Identify more when comparing two numbers

Compare two numbers from 0 to 10 and determine which is more. Two pictures of fingers are given. Select the picture that shows more fingers. Then, practice the concept with the hands in mittens and only the numbers shown

Identify more when comparing two sets of fingers displayed on two hands

Compare two numbers from 0 to 10 and determine which is more. Two pictures of fingers are given. Select the picture that shows more fingers. Then, enter the number displayed by each set of hands

Identify fewer when comparing two numbers

Compare two numbers from 0 to 10 and determine which is less. Two pictures of fingers are given. Select the picture that shows fewer fingers. Then, practice the concept with the hands in mittens and only the numbers shown

Identify fewer when comparing two sets of similar scattered objects

Determine which picture shows fewer items. Two pictures of sets of objects are shown. Select the image that shows fewer items

Count out the same number of cubes as a given set of cubes

Match the amount shown. Given a tower of blocks, count out the same number of blocks for a second tower. The new blocks pop out one at a time. Notice the one-to-one correspondence between the towers

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.

Identify more when comparing two sets of aligned cubes that are similar and dissimilar

Compare two towers of blocks. Select the tower that has more blocks. The blocks have different colors and different shapes

Identify more when comparing two sets of cubes with or without aligning them first

Compare two sets of blocks. The blocks can be aligned into a tower to help compare the amount. Select which person has more blocks or if they have the same amount

Identify more when comparing two sets of similar and dissimilar objects with or without aligning them first

Compare sets of items that may be similar or different. Create a train with a set of cars and compare it to a given train. Select which person has more cars or if they have the same amount

Identify more when comparing two sets of dissimilar objects with unequal alignments

Compare two sets of objects that have different spacing between them. Count the number of of items in each row and select the child that has more or select that they are the same, if appropriate

Identify more or fewer when comparing two sets of similar scattered objects

Identity which of two sets contains more or fewer items. Two sets of similar items are shown, sizes might vary. Choose the set that answers the prompt

Compare numbers based on more/fewer

Identify which of two numbers is greater or less than the other. Two numbers are shown with the words "more here" or "less here" under both numbers. Select the statement that is true

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 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

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

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

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 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

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 (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 (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

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 (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 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 (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 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

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 (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

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

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

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

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

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

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 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

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

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 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

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 10, including turnaround facts

Practice solving a mix of addition and subtraction equations within 10. Only the equations are presented with no model

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

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

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

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

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.

Record +/- 0 equations based on a number line model

Practice the addition or subtraction of 0 using a number line. Write the equation for the situation modeled by the number line

Record subtraction scenarios on a number line within 10 as equations with a difference of 0

Learn about subtraction equations with a difference of 0. Move the grasshopper along the number line as prompted. Then, complete the equation modeled by the number line

Complete +/- equations that include 0 in various positions

Practice addition and subtraction equations that involve 0

Match two sets of uniform objects to make a total of 10

Create sets of 10. Match the correct front and backends of a trucks, so that that each truck contains 10 items. This will help reinforce all of the number bonds with a total of 10

Balance the scales

Create sums of 10. One side of the scale shows a present with the number 10. The other side is either empty or contains weights with numbers on them. Balance the scale by putting weights on the empty side for a total of 10

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.

Group objects and base-10 blocks into a ten and ones and determine totals

Separate a set into tens and ones. Move ten objects into a box and record how many tens and ones there are. Then, state the number of tens and ones given a rod and individual cubes. This skill develops the ability to work with 2-digit numbers

Determine the total number of objects or base-10 blocks grouped into a ten and ones

Learn how to write 2-digit numbers. Identify the ten items grouped together and the ones. Then, write the number of tens and ones. Finally, combine the two digits into one number

Determine the total number of objects by filling a 10-frame

Determine the total by grouping items into tens and ones. A partially filled ten frame is given. Fill the frame with the extra items, then count how many remain. Enter the 2-digit number represented by all of the items

Determine missing numbers in the second ten on a number line and identify their written name

Learn to numbers from 10 to 19. A number line shows one number at a time. Select the correct name out of three options. Then, a number line is shown with one number missing. Enter the correct number and select its name out of three options

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

Represent numbers in the second ten using a rod and cubes

Count out a number of cubes between 10 and 20. Several tens rods and ones cubes are given. Drag the correct amount of rods and cubes to a box to represent the stated number

Position numbers to 19 on a number line

Identify the location of the numbers 11-19 on a number line. A number line is provided with the numbers 1-10, 15, and 20 labeled. Drag the circle with a number between 11 and 19 to the correct tick mark on the number line

Add 1 to or subtract 1 from numbers 11-20 with and without a number line model

Practice adding or subtracting one within the teens on a number line. A grasshopper starts at a number and moves either forwards or backwards by 1 space on the number line. Complete the related equation

Determine the 2-digit total of aligned objects

Count the number of objects with a 2-digit total. Rows of objects are shown. Mentally group them into tens and ones. Enter the total

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.

Sort base-10 blocks into tens and ones and determine totals

Separate a set of cubes into ten and ones. Sort a group of 11 to 19 blocks so that ten are in one box to form a rod and the rest are in another box. Identify each box as tens or ones

Determine a 2-digit total based on totals of tens and ones using objects or base-10 blocks

State the 2-digit total of objects shown. The objects are groups wo that tens are easy to identify. Enter the number of tens and ones, then also state the total

Add to or subtract from numbers 11-20 with and without a model of base-10 blocks 17396

Solve an addition or subtraction equation within 10 to 20. Cube models are shown for some problems

Record +/- equations with numbers 11-20 based on a model of base-10 blocks

Write addition or subtraction equations for an animation. Eleven to nineteen objects are shown. Write the equation that represents the situation

Complete +/- equations with numbers 11-20 with and without a model of base-10 blocks

Complete an addition or subtraction equation within 10 to 20. Cube models are shown for some problems, others only show the equation