Digi-Tools for Modeling Problems

Great math manipulatives are powerful allies in building true number sense. They turn abstract ideas into concrete, hands-on experiences that allow students to see, touch, and make connections. Designed for both teachers and students, our suite of virtual manipulatives will make your instruction more engaging and accessible than ever before.

Virtual Manipulatives
 
Cubes

Linking cubes are small, interlocking 1 cm cubes in multiple colors that snap together to help students build, count, measure, and explore patterns, shapes, and basic operations hands-on.

Rods

Cuisenaire rods are a set of 10 differently colored rods of increasing lengths that allow students to visualize and compare number relationships, addition, multiplication, fractions, and ratios.

Blocks

Base 10 blocks are a structured set of units, rods, flats, and cubes that physically represent ones, tens, hundreds, and thousands to teach place value, regrouping, and multi-digit arithmetic.

Disks

Help students work with larger numbers efficiently, practice place value, and do operations with regrouping in a compact way, serving as a bridge between concrete blocks and abstract math.

 
Number Sense
 
Count & Order
Count Quantify Subitize
Zero
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Patterns
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Trace
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Even or Odd
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0½1
Numbers on a Number Line
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Compare within 20 More & Fewer
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Compare within 5
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 > 
Compare within 20
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 > 
 
 
Compare Numbers
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Additive Comparison
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Multiplicative Comparison
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Make Arrays
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3691215
48121620
Common Multiples
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24
2346812
Factors & Multiples
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1
2
3
4
6
12
Factors & Prime Numbers
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1, 2, 3, 4, 5, __ , __
__ , __, 5, 6, 7, 8, 9
Number Patterns
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Match
 
 
 
Place Value
 
Place Value within 100
Place Value within 10,000,000
 ⇄ 
 ⇄ 
Place Value Decimals
 ⇄ 
 ⇄ 
Shifting
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Place Value Animation
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5,
7
A
41
   vs   
2,8
7
B
3
Place Value Compare
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352
3×1025×1012×100
Place Value Exponents
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 ⇄ 
Shift 1
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 ⇄ 
Unitize
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Flats Rods Squares
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123
hundredtensones
123
tensones
Rename Numbers
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Rounding
 
 
 
Measurement & Data
 
Measure Compare Order
Gaps Overlaps Inverse
121234567891011
Time
7:45
8:15
7:45
8:15
Elapsed Time
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Money USA
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  ○  ○  ○  ○  ○  ○  ○
  ○  ○  ○
  ○  ○  ○  ○  ○
Picture Graphs
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  ×  ×  ×  ×  ×  ×  ×
  ×  ×  ×
  ×  ×  ×  ×  ×
Scaled Graphs
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×
×
×
×
×
×
×
×
×
×
×
Line Plots
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762715493
1-45-77-9
Mean Median Mode Range
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Estimate Length
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Perimeter
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Area
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Composite Perimeter & Area
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Volume
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Composite Volume
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ft
ft
ft
ft
ft
ft
yd
yd
Converting Units of Measure
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1 ft
⅓ yd
3 ft
1 yd
6 ft
2 yd
Proportional Reasoning
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100mg
Weight & Mass
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Liquid Volume
 
 
 
Geometry
 
◼ ● ◆ ▲ ▬
◆ ▲ ▬ ● ◼
Sort Objects
abovebetweennext to
below←↑→beside
Relative Position
Compare Measurable Attributes
Perimeter Basic
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Partition Shapes
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Classify & Compare Shapes
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Lines & Angles
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3  
2  
1
1  
2
3
4
5
6
7
8
9
Coordinate Plane
 
 
 
Whole Number Operations
 
Add & Subtract within 10: Bonus
Add & Subtract within 10
Balanced Equations
Add & Subtract within 20 Subitize
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Doubles
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Add & Subtract on a Number Line
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 + 
 + 
Add 3 or 4 Numbers
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+
 
Add & Subtract Multiples of 10
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+
 
Add & Subtract Make 10 or Less
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+
 
 
 
Add & Subtract within 1,000
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 2+2+2 
Repeated Addition
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Multiply & Divide by 1 and 0
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 20 
5555
Multiply & Divide within 100
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 60 
15151515
Multiply & Divide within 100 Pro
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3
   ×
50

5 tens
=
150

15 tens
Multiply & Divide Multiples of 10
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Multiply within 10,000
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Divide within 10,000
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 A  − (  B  +  C  ) ×  D 
Order of Operations
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 ? 
4+24+24+2
Interpret Expressions
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123
 + 45
Standard Algorithm Add
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123
 − 45
Standard Algorithm Subtract
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123
 × 45
Standard Algorithm Multiply
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12 
 345 
Standard Algorithm Divide
 
 
 
Fractions & Decimals
 
Fraction Rods
Identify Fractions
  
Fractions on a Number Line
Match Fractions
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=
Fraction Equivalence
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>
Compare Fractions
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A
¼
B
½
C
¾
Order Fractions
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A
.25
B
.5
C
.75
Order Decimals
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Common Denominators
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00
3
4
 = 
00
2
4
 + 
00
3
4
Decompose Fractions
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+
Add & Subtract Fractions
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+
Add & Subtract Decimal Fractions
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+
Add & Subtract Mixed Numbers
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Multiply Fractions
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Multiply Fractions Estimate
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×
Multiply Mixed Numbers
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÷
Divide Fractions
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+
 
 
Add & Subtract Decimals
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=
Fractions to Mixed Numbers
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3
10
 + 
5
100
 
 = 
 
.3
T
 + 
.05
H
 
Fractions to Decimals
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Multiply Decimals Basic
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 .10 
.05.05
Divide Decimals Round
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8.8 ÷ 2 = 4.4
Divide Decimals Basic
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Divide by a Decimal
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12.3
 + 4.5
Add Decimals
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12.3
 − 4.5
Subtract Decimals
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12.3
 × 4.5
Multiply Decimals
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1.2 
 34.5 
Divide Decimals
 
 
 
Word Problems
 
Add-To
Take-From
Put-Together
Take-Apart
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Multi-Step Part-Total
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Additive Comparison
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Multi-Step Additive Comparison
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 ? 
7:15
8:00
8:45
Elapsed Time
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●●●
Equal Groups & Remainders
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Multiplicative Comparison
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Add & Mult Comparison
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Measurement
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Add Fractions
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Subtract Fractions
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Multiply Fractions
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Divide Fractions
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Ratio Static
 
 
 
Linear Models
 
Joining & Separating
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62
Add & Subtract
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Fractions w/o Number Line
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Fractions w/ Number Line
 
 
 
Measurement
 
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Length Perimeter Area