Central Focus:

Students will learn how to follow, utilize, and integrate their knowledge of Order of Operations (Symbols of Inclusion [Parenthesis, Brackets, etc.], Exponents and Roots, Multiplication, Division, Addition, and Subtraction) to solve equations. Students will be able to add like terms, and apply the distributive and associative property where it is necessary, such as simplifying the following equation: 2(xx)+8(x+x). Students will also be able to utilize the Order of Operations through evaluating variables, such as x and y, that stand for other numbers, such as: find xy+x2 where x=3 and y=5.

Standards & Objectives

• Standards Addressed:
• 7.EE.3 Solve multi-step real-life and mathematical problems posed with rational numbers in any form (whole numbers, fractions), using tools strategically. Apply properties of operations (i.e., associative and distributive properties) to calculate with numbers in any form; convert between forms as appropriate.
• 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
• Learning Objectives: Student ‘I will’ Statements:
• Objective #1: I will be able to apply the Order of Operations to real-world applications.
• Objective #2: I will be able to identify coefficients and variables in an equation, such that a coefficient is a number in front of a variable and a variable is a letter that represents a number value.
• Objective #3: I will learn how to substitute variables into equations to solve for the equations, such as xy+x2 where x=2 and y=5.
• Objective #4: I will learn how to add like terms when simplifying equations with variables in a way that the variables x+x=2x and xx=x2.

includes lesson and performance task