In Fourth Grade, students learn the difference between equations and expressions. They then learn how to write equations with a variable, and solve equations using inverse operations.
Have your child check out the reference sheet and images below to help them learn about equations & expressions, variables, and inverse operations!
An EXPRESSION is any number, variable, or combination of numbers and variables. Expressions include operations but do not include an equal sign. Examples are 4 + 5, 8, and 3 * a
An EQUATION is a combination of expressions that include an equal sign. The left side of an equation must balance with the right side of the equation. Examples are 4 + 4 = 8, 5 - 2 = 3 * 1, and 7 = 7.
A VARIABLE is a letter used in place of an unknown number.
An example is 5 + n = 11, so n = 6.
INVERSE OPERATIONS are operations that "undo" each other.
Addition and Subtraction are inverse operations, and Multiplication and Division are inverse operations which means they "undo" each other.
Examples are 5 + 3 = 8, so 8 - 3 = 5, and 5 X 2 = 10, so 10 / 2 = 5.
Equations:
Problem solving is one of the largest and most important pieces of the Fourth Grade Math Curriculum. Students are taught how to solve multi-step word problems using equations with a variable.
Have your child check out the reference sheet and videos below
to help them learn about Problem Solving!
The steps we teach students to help them solve problems are as follows:
Read the problem carefully and multiple times for understanding.
Highlight the important information, and draw a picture to help you understand what is happening in the story.
Ask yourself... "What do I know?" and "What do I need to find out?"
Solve your problem, by writing equations with variables, showing your work, and checking your work.
Be sure to label your answer. You typically find your label within the question.
In Fourth Grade, students also learn about Factors & Multiples.
FACTORS are the numbers you multiply together to get another number. For example, 2 x 3 = 6... 2 and 3 are factors of 6. Factors are finite, which means each number has a specific number of factors.
MULTIPLES are your skip counting numbers. For example, 6, 12, 18, and 24 are the first 4 multiples of 6. Multiples are infinite, which means they go on and on forever.
Have your child check out the reference sheet and videos below
to help them learn about Factors and Multiples!
In Fourth Grade, students learn about Prime & Composite Numbers.
PRIME NUMBERS are numbers that are greater than one and have only 2 factors (1 x itself). For example, 11 is prime, because 1 x 11 is 11 and that's it. 11 has 2 factors or 1 factor pair. 2 is the only even number that is prime.
COMPOSITE NUMBERS are numbers that are greater than one and have more than 2 factors. For example, 12 is composite, because 1 x 12, 2 x 6, and 3 x 4 all equal 12. 12 has 6 factors or 3 factor pairs. All even numbers, except 2, are composite.
Have your child check out the reference sheet and videos below
to help them learn about Prime and Composite Numbers!