They begin to relate concrete models to abstract expressions and equations, and continue this work throughout elementary school. Algebraic thinking starts with students understanding the properties of the operations, the relationships between them, and the composition of numbers. Students as early as kindergarten begin to solve problems with algebraic thinking.
When working with algebraic expressions and equations we must consider carefully which operations to deal with first. Parenthesis, Exponents (powers, square roots), Multiplication, Division, Addition, Subtraction. Remember, when working with algebra, we must still apply the order of operations, PEMDAS.
Simplify – collect together like terms to make the expression or equation look simpler.Binomial – a binomial or binomial expression is one which has two parts, like our example 4c + 2.For example, for 4c + 2, 2 is the constant. Constants – values which are not variable and stay the same.For example, in the expression 4c + 2, 4 is the coefficient. Coefficients – the amount a term has been multiplied by.Substitute – put the values you have been given into the algebraic expression.Solve the equation – find out the value of the unknown.Here are some of the key terms along with what they mean:
When you are presented with an algebraic problem, it is important to make sense of the problem. Later, we further develop these skills which allow us to work with more complex equations such as quadratic equations, polynomial equations, and exponential equations. In middle school, we learn to write basic algebraic expressions, write and solve linear equations, write and solve a system of linear equations, and graph linear equations on the coordinate plane.
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