In this section, we will explore different types of equations and how to solve them. An equation is a mathematical sentence that shows two expressions are equal and contains an equal sign. An expression is a combination of numbers and operations, which might contain variables. To solve an equation, you replace a variable with a value that results in a true sentence, and that value is called the solution.
Addition Equations
We will learn how to solve addition equations mentally and using different methods such as models and the subtraction property. The subtraction property states that if you subtract the same number from each side of an equation, the two sides remain equal. For example, to solve the equation x + 4 = 5, you can model the equation using counters and a variable, or you can use symbols to solve the equation step by step.
Additionally, we will solve real-life problems using addition equations, such as determining the number of meters that someone swam based on the information given.
Subtraction Equations
In this section, we will learn how to solve subtraction equations using the addition property of equality, which states that if you add the same number to each side of an equation, the two sides remain equal. We will use both modeling and working with symbols to solve subtraction equations.
We will also work on real-life problems that involve finding the starting balance after a withdrawal from a savings account using subtraction equations.
Multiplication Equations
We will explore solving multiplication equations by dividing and using bar diagrams. The division property of equality states that when you solve an equation by dividing both sides by the same number, the two sides remain equal. We will solve multiplication equations and real-life problems involving the number of cups of flour needed to make a certain number of loaves of bread.
Division Equations
In this section, we will learn how to solve division equations using the multiplication property of equality, which states that if you multiply each side of an equation by the same nonzero number, the two sides remain equal. We will solve division equations and real-life problems involving the number of students in a grade level participating in an after-school sports activity.
By understanding and practicing these different types of equations, you will become more proficient in solving mathematical problems and real-life scenarios.
