the form f(x) = a · bx, where a and b are real numbers and b is greater than 0 but not equal to 1. The family of quadratic functions includes functions of the form f(x) = ax2 + bx + c, where a, b, and c are real numbers, and a is not equal to 0. Lesson 6: Solving linear equations Objectives After reviewing and applying mathematical properties, students will be able to solve a linear equation and provide a justification in each step and for the solution with ___ out of ___ answered correctly on an exit ticket. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them (persevere through solving lengthy or complex equations) MP 2: Reason abstractly and quantitatively (when providing justifications for each step in solving an equation AND when justifying a solution) MP 3: Construct viable arguments and critique the reasoning of others (students can critique the justifications provided by other students) MP 6: Attend to precision (use correct vocabulary and require students to do the same) Vocabulary Equation, solution to an equation in 1 variable, properties of equality, combining like distributive property Common Misconceptions For students who struggle with complex/multi-step problems, provide a step by step structure (i.e. step #1 is to simplify both sides using distributive property and combining like terms, step #2 is to use inverse operations and properties of equality to isolate the variable). For students who struggle with showing work, provide blank templates for them to show EACH step, provide a justification for EACH step, and check their answer. Lesson Clarifications In AM 13.5, only focus on the Opener and Core Activity Concepts Skills Material/ Suggested Assessment CCSS What students will know What students will be able to do Resource Pacing Check Point A.REI.1: Explain each Review Review AM 16.5 1 1 ½ AR 10.1 – step in solving a simple Inverse operations can Find and justify the AM 16.6 days equation as following be used to isolate a solution to a linear from the equality of variable in a linear equation in 1 variable numbers asserted at the equation. The previous step, starting distributive property,
the form f(x) = a · bx, where a and b are real numbers and b is greater than 0 but not equal to 1. The family of quadratic functions includes functions of the form f(x) = ax2 + bx + c, where a, b, and c are real numbers, and a is not equal to 0. Lesson 6: Solving linear equations Objectives After reviewing and applying mathematical properties, students will be able to solve a linear equation and provide a justification in each step and for the solution with ___ out of ___ answered correctly on an exit ticket. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them (persevere through solving lengthy or complex equations) MP 2: Reason abstractly and quantitatively (when providing justifications for each step in solving an equation AND when justifying a solution) MP 3: Construct viable arguments and critique the reasoning of others (students can critique the justifications provided by other students) MP 6: Attend to precision (use correct vocabulary and require students to do the same) Vocabulary Equation, solution to an equation in 1 variable, properties of equality, combining like distributive property Common Misconceptions For students who struggle with complex/multi-step problems, provide a step by step structure (i.e. step #1 is to simplify both sides using distributive property and combining like terms, step #2 is to use inverse operations and properties of equality to isolate the variable). For students who struggle with showing work, provide blank templates for them to show EACH step, provide a justification for EACH step, and check their answer. Lesson Clarifications In AM 13.5, only focus on the Opener and Core Activity CCSS Concepts What students will know Skills What students will be able to do Material/ Resource Suggested Pacing Assessment Check Point A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting Review Inverse operations can be used to isolate a variable in a linear equation. The distributive property, Review Find and justify the solution to a linear equation in 1 variable AM 16.5 AM 16.6 1 – 1 ½ days AR 10.1