4th grade math concepts

Find here many important 4th grade math concepts taught in 4th grade. Teachers, parents, and math tutors can also use them as a guideline to illustrate a math lesson or to teach important skills that kids are supposed to know in 4th grade math.

Decimal notation for fractions

0.28


Ray
A ray has one endpoint where it starts and it extends forever on the other side.

Ray


Add mixed numbers

Add mixed numbers


Comparing fractions

Comparing fractions


Read whole numbers

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

    A. 64087         B.    6087          

    C. 6487          D.     8764



Proper fraction
Numerator is smaller than denominator
Improper fraction
Numerator is bigger than denominator.

Proper and improper fractions


Right triangle
A right triangle has one right angle.

Right triangle


Benchmark fractions in 4th grade math
Fractions that are used frequently to do estimation.

Benchmark fractions


Congruent shapes
Shapes are congruent when they have the same shape and size.

Congruent shapes


Common denominator
Multiples of 3 are
3, 6, 9, 12, 15, ...
Multiples of 4 are 4, 8, 12,16, ...
Common denominator is least common multiple or 12.

Common denominator of 12


 Subtraction algorithm
                
      4    5    6
 -    3    9    8
____________

                                                                     4   16                                 
                                                               4    5    6
                                                        -      3    9    8
                                                        ___________
                                                                           8

                                                              3   1 4  16 
                                                              4     5    6
                                                           -  3     9    8
                                                          __________
                                                              0     5    8

               Subtraction algorithm
                
                         4    5    6
                    -    3    9    8
                 ________________

                    4   16            
               4    5    6
     -         3    9    8
          ________________
                           8

             3   1 4  16 
             4    5    6
      -      3    9    8
          ________________
             0    5    8



Line of symmetry

Line of symmetry


Protractor
A geometric tool used
to draw and measure angles

Protractor


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

Arc


Algorithm for multiplication

Algorithm for multiplication


Measure of an angle
The angle on the right measures 150 degrees

150 degrees angles150 degrees


Equation

A mathematical sentence with an equal sign. 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 mathematical sentence with an equal sign. 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



Tenth and hundredth
Tenth: one of the equal parts when a whole is divided into 10 equal parts.
Hundredth: one of the equal parts when a whole is divided into 100 equal parts.

Tenth and hundredth


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

8.29



Intersecting lines

Intersecting lines


Comparing decimals

Put the following decimal in order from greatest to least.
4.23    4.24    4.2    4.30    4.19

Answer:
4.30    4.24   4.23    4.20   4.19



Mixed number
A mixed number has 2 parts. First it has a whole number 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

Perimeter = 2 x length + 2 x width



More 4th grade math concepts

Circle
In a circle, you can put points anywhere on the purple arc. These points will be at the same distance from the fixed black point called center.

Example of a circle


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

8.29



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 than
can divide it evenly.

12, 9 and 8 are composite numbers.         



Factor pairs
A factor pair refers to
a set of two numbers
when multiplied will
yield a specific product.

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



Obtuse angle
An angle bigger than 90 degrees

Example of an obtuse angle


Decimal

10.50    5.25   61.0    0.40   .333



Number line
A straight line on which we put 0 and counting numbers.

A number line from zero to seven


Reasonableness
There is no need to
do the math. Instead
use estimation to
eliminate answers that
are unreasonable.

50 times 30 = 1500,
therefore, 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 ball.
Peter has 5 times as many tennis ball as John.
How many tennis ball do they have together?



Perimeter

Perimeter = 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

A slice of bread

A CD without the case

2 or 3 strawberries depends on the size



Pattern:
What is the next
number in the list?

12      15      18



Decompose 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 a prime number because
only 1 and 7 can be
multiplied to get 7

5, 7, and 13



Decimal point
The decimal point is the dot (.) separating the whole number from the fraction in the decimal notation.

Decimal point


Equivalent fractions

Equivalent fractions


Order of operations

3 + (2 + 4) x 5

Do parenthesis

3 + 8 x 5

Do multiplication

3 + 40

Add

43


Things to keep in mind about the 4th grade math concepts on this page

4th grade math concepts

1. Make sure that students understand most of the math skills above taught in 4th grade math. If you would like to measure their understanding of math skills taught in 4th grade math, please check this 4th grade math test.

2. These 4th grade math concepts are in line with 4th grade math common core state standards.

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