This PEMDAS chart is a great tool to remind students of the steps they take when solving algebraic expressions. Hang them around the room or print for students to stick in their binder.
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Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions 𝘺 + 𝘺 + 𝘺 and 3𝘺 are equivalent because they name the same number regardless of which number 𝘺 stands for.
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + 𝘹) to produce the equivalent expression 6 + 3𝘹; apply the distributive property to the expression 24𝘹 + 18𝘺 to produce the equivalent expression 6 (4𝘹 + 3𝘺); apply properties of operations to 𝘺 + 𝘺 + 𝘺 to produce the equivalent expression 3𝘺.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.