Tang Math

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Number Sense

Count & Skip Count

Count Quantify Subitize

Zero

Patterns

Trace

Even or Odd







0				½				1

Numbers on a Number Line

Compare within 20 More & Fewer

Compare within 5

>

Compare within 20

>

Compare Numbers

Additive Comparison

Multiplicative Comparison

	↓	↓	↓	↓	↓
→
→

Make Arrays

3	6	9	12	15

4	8	12	16	20

Common Multiples

24
2	3	4	6	8	12

Factors & Multiples




1		2		3		4		6		12

Factors & Prime Numbers

1, 2, 3, 4, 5, __ , __

__ , __, 5, 6, 7, 8, 9

Number Patterns

Match

Place Value

Place Value within 100

Place Value within 10,000,000

Place Value Decimals

Place Value Animation

⇄

⇄

Shifting

⇄

Shift 1

5,

7

A
↓

41

vs

2,8

7

B
↓

3

Place Value Compare

352
3×10²	5×10¹	2×10⁰

Place Value Exponents

Flats Rods Squares

1	2	3
hundred	tens	ones
12		3
tens		ones

Rename Numbers

⇄

Unitize

Rounding

Measurement & Data

Measure Compare Order

Gaps Overlaps Inverse

7:45

8:15

7:45

8:15

Elapsed Time

Money USA

○ ○ ○ ○ ○ ○ ○

○ ○ ○

○ ○ ○ ○ ○

Picture Graphs

× × × × × × ×

× × ×

× × × × ×

Scaled Graphs

×
×

×
×
×

×
×

×

×
×
×

Line Plots

7	6	2	7	1	5	4	9	3

1	-	4	5	-	7	7	-	9

Mean Median Mode Range

Estimate Length

Perimeter

Area

Composite Perimeter & Area

Volume

Composite Volume

ft

ft

ft

ft

ft

ft

yd

yd

Converting Units of Measure

1 ft

⅓ yd

3 ft

1 yd

6 ft

2 yd

Proportional Reasoning

100mg

Weight & Mass

Liquid Volume

Geometry

◼ ● ◆ ▲ ▬

◆ ▲ ▬ ● ◼

above	between	next to
below	←↑→	beside

Relative Position

Compare Measurable Attributes

Perimeter Basic

Partition Shapes

Classify & Compare Shapes

▲

◀

►

Lines & Angles

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

Doubles

Add & Subtract on a Number Line

+

+

Add 3 or 4 Numbers

+

−

Add & Subtract Multiples of 10

+

−

Add & Subtract Make 10 or Less

+

−

Add & Subtract within 1,000

2+2+2

Repeated Addition

✗

✗

Multiply & Divide by 1 and 0

20

5

5

5

5

Multiply & Divide within 100

60

15

15

15

15

Multiply & Divide within 100 Pro

3

×

50
↓
5 tens

=

150
↑
15 tens

Multiply & Divide Multiples of 10

Multiply within 10,000

Divide within 10,000

A − ( B + C ) × D

Order of Operations

?

4+2

4+2

4+2

Interpret Expressions

123

+ 45

Standard Algorithm Add

123

− 45

Standard Algorithm Subtract

123

× 45

Standard Algorithm Multiply

12

345

Standard Algorithm Divide

Fractions & Decimals

Identify Fractions

Fractions on a Number Line

Match Fractions

=

Fraction Equivalence

>

Compare Fractions

A

¼

B

½

C

¾

Order Fractions

A

.25

B

.5

C

.75

Order Decimals

Common Denominators

00

3

4

=

00

2

4

+

00

3

4

Decompose Fractions

+

−

Add & Subtract Fractions

+

−

Add & Subtract Decimal Fractions

+

−

Add & Subtract Mixed Numbers

Multiply Fractions

Multiply Fractions Estimate

×

Multiply Mixed Numbers

÷

Divide Fractions

+

−

Add & Subtract Decimals

=

Fractions to Mixed Numbers

3

10

+

5

100

=

.3

T

+

.05

H

Fractions to Decimals

Multiply Decimals Basic

.10

.05

.05

Divide Decimals Round

8.8 ÷ 2 = 4.4

Divide Decimals Basic

Divide by a Decimal

12.3

+ 4.5

Add Decimals

12.3

− 4.5

Subtract Decimals

12.3

× 4.5

Multiply Decimals

1.2

34.5

Divide Decimals

Word Problems

Take-Apart

Multi-Step Part-Total

Additive Comparison

Multi-Step Additive Comparison

?

7:15

8:00

8:45

Elapsed Time

●●●

Equal Groups & Remainders

Multiplicative Comparison

Add & Mult Comparison

Measurement

Add Fractions

Subtract Fractions

Multiply Fractions

Divide Fractions

Ratio Static

Linear Models

Joining & Separating


6	2

Add & Subtract

Fractions w/o Number Line

Fractions w/ Number Line

Measurement

Length Perimeter Area

Manipulatives

Rods

Base 10 Blocks

Base 10 Disks