Here you will find many important 4th grade math concepts taught in 4th grade. Teachers, parents, and math teachers can also use it as a guide to illustrate a math lesson or teach key skills that children should know about in 4th grade math.

4th grade math concepts


Decimal notation for fractions

0.28

beam
A ray has an ending point where it begins and extends forever the other side.

beam

Add mixed numbers

Add mixed numbers

Compare fractions

Compare fractions


Read whole numbers

What number can be read as six thousand, four hundred eighty-seven?

A. 64087 B. 6087

C. 6487 D. 8764

Read whole numbers

What number can be read as six thousand, four hundred eighty-seven?

A. 64087 B. 6087

C. 6487 D. 8764

Right group
The numerator is smaller than the denominator
Improper fraction
The numerator is greater than the denominator.

Right and wrong fractions


Right triangle

A right triangle has a right angle.

Right triangle

Benchmark fractions in 4th grade math
Fractions often used for estimation.

Benchmark breaks

Congruent shapes

Shapes are congruent when they are the same shape and size.

Congruent shapes

Common denominator
Are multiples of 3
3, 6, 9, 12th, fifteen, …
Are multiples of 4 4, 8, 12th, 16, …
The common denominator is the least common multiple, or 12.

Common denominator of 12

Subtraction algorithm

4 5 6
– 3 9 8
____________

4th16 4 5 6
– 3 9 8
___________
8th

314th16
4 5 6
– 3 9 8
__________
0 5 8

Subtraction algorithm

4 5 6
– 3 9 8
________________

4th16
4 5 6
– 3 9 8
________________
8th

314th16
4 5 6
– 3 9 8
________________
0 5 8


Line of symmetry

Line of symmetry

Protractor

A used geometric tool
Draw and measure angles

Protractor

arc

An arc is part of a circle. The bow is shown in orange.

arc


Multiplication algorithm

Multiplication algorithm

Angle measure

The right angle measures 150 degrees

150 degree angle150 degrees

equation

A math theorem with equal signs. The equal sign separates the left side from the right side. The amount on the left side of the equation is always equal to the amount on the right side.

4 + 6 = 10

1 + 12 = 13

20 = 9 + 11

equation

A math theorem with equal signs. The equal sign separates the left side from the right side. The amount on the left side of the equation is always equal to the amount on the right side.

4 + 6 = 10

1 + 12 = 13

20 = 9 + 11

Tenths and hundredths

Tenth: one of the same parts when a whole is divided into 10 equal parts.

Hundredths: one of the same parts when a whole is divided into 100 equal parts

Tenths and hundredths

Hundredths
The hundredth place is shown in red. The 9 means that 9 parts out of 100 are colored.


8.29

Cutting lines

Cutting lines


Compare decimal places

Put the following decimal places in the order from largest to smallest.
4.23 4.24 4.2 4.30 4.19

Reply :
4.30 4.24 4.23 4.20 4.19

Mixed number
A mixed number has 2 parts. First, it has an integer that is 2. Second, it has a fraction that is 4/5

Example of a mixed number

Formulas
Area and perimeter of a rectangle

Area = length x width

Circumference = 2 x length + 2 x width

More 4th grade math concepts

circle
In a circle, you can place points anywhere on the purple arc. These points are equidistant from the solid black point called the center.

Example of a circle

tenth
The tenth place is shown in red. The 2 means that 2 out of 10 parts are colored.


8th.2
9

Composite number
A number with more
than 2 factors. Factors
of 8 are 1, 2, 4 and 8.
8 is a composite number
since it has 4 factors
or 4 numbers as
can divide it evenly

12, 9 and 8

Factor pairs

A pair of factors relates to
a set of two numbers
when multiplied
result in a specific product.

Factor pairs of 12
are (1,12), (2, 6),
and (3, 4)

Factor pairs

A factor pair refers to a set of two numbers when multiplied to get a specific product.

Factor pairs of 12
are (1,12), (2, 6),
and (3, 4)

Obtuse angle

An angle greater than 90 degrees

Example of an obtuse angle

Decimal

10.50 5.25 61.0 0.40.333

Series of numbers
A straight line on which we put 0 and count numbers

A series of numbers from zero to seven

appropriateness
there is no need to
do the math. Instead
Use estimate to
Eliminate answers that
are unreasonable.

50 times 30 = 1500,
So the answer is 1551

What is the product
of 47 times 32?
A. 4514 B. 1551
C. 2947 D. 8114

Multiplicative comparison

Peter has 5 times 4 = 20. Together they have 20 + 4 = 24

John has 4 tennis balls.

Peter has 5 times as many
Tennis Ball as John.

How lots of tennis balls do
they have together?

Multiplicative comparison

Peter has 5 times 4 = 20.
Together they have
20 + 4 = 24

John has 4 tennis balls.
Peter has 5 times as much
many tennis ball as John.

How many tennis balls do
they have together?

scope

Circumference = 2 x length + 2 x width
= 2 x 6 + 2 x 2
= 12 + 4
= 16

Area = 6 x 2 = 12

Rectangle with a length of six and a width of 2


Solve an equation

What is the value
of b in the equation
below?

5 + b = 12
Since 5 + 7 = 12,
b = 7


1 ounce

  • 2 or 3 strawberries depend on the size

Template:
What’s next
Number in the list?

12 15 18

Break down a fraction

3/5 = 1/5 + 1/5 + 1/5

Break down a fraction

3/5 = 1/5 + 1/5 + 1/5

Example of prime numbers
A prime number is a number
that has only 2 factors, 1
and the number itself.
7 is prime because
only 1 and 7 can be
multiplied to get 7

5, 7 and 13

comma

The decimal point is the point (.) Separating the whole number from the fraction in decimal notation.

comma


Equivalent fractions

Equivalent fractions

Order of operations

3 + (2 + 4) x 5
Make brackets
3 + 8 x 5
Perform multiplication
3 + 40
Add
43

Order of operations

3 + (2 + 4) x 5
Make brackets
3 + 8 x 5
Perform multiplication
3 + 40
Add
43

Notice the 4th grade math concepts on this page

Make sure students understand most of the math skills taught above in 4th grade math. If you want to measure your understanding of the math skills taught in 4th grade math, please check out this 4th grade math test





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