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UNIT: Reasoning with Equalities and Inequalities 

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UNIT: Reasoning with Equalities and Inequalities 

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9th Grade

Algebra

Unit’s Essential Questions

How can you solve multi-step equations?

How can you write and solve one-variable linear equations?

How can you write and solve one-variable linear inequalities?

How can you solve problems using the quadratic formula?

How can you show how two equations can be equivalent by rewriting the equation using the properties of equality?

How can you prove that your answer is correct?

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Planbook & Online Lesson Planner. Free for Teachers. Common Curriculum

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Save time with easy templates. Align lesson plans to Common Core & 50 state standards. Organize with unit plans. Share & collaborate with colleagues.

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Rational and Radical Equations

Students will be able to analyze and solve rational and radical equations in one variable including ones with negative coefficients

Standards

A-REI.A.1Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.New Jersey Grades 9, 10, 11, 12Mathematics (2016)

A-REI.A.2Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. New JerseyGrades 9, 10, 11, 12Mathematics (2016

Students will be working on a warm-up, be introduced to the objective and standards, be introduced to the actual lesson, use EdPuzzle to learn more, use quizizz for guided practice, and completing an exit slip that will be used as an assessment.  For homework, they will be completing a worksheet that is created by me or used from Algebra4Children.

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Linear Equalities and Inequalities

Students will be able to solve one-step equations in one variable including equations with coefficients represented by letters

Standards Addressed

A-REI.B.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. New Jersey Grades 9, 10, 11, 12Mathematics (2016)

Students will be working on a warm-up, reviewing the homework from the previous night, be introduced to the objective and standards, be introduced to the actual lesson, using EdPuzzle to learn more, and completing an exit slip that will be used as an assessment.  For homework, they will be completing a worksheet that is created by me or used from Algebra4Children.

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Quadratic Equations

Students will be able to convert quadratic equations to standard form and use the method of completing the square to solve quadratic equations

Standards Addressed

A-REI.B.4Solve quadratic equations in one variable. New Jersey Grades 9, 10, 11, 12Mathematics (2016)

A-REI.B.4.aUse the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form. New JerseyGrades 9, 10, 11, 12Mathematics (2016)

Students will be working on a warm-up, reviewing the homework from the previous night, be introduced to the objective and standards, be introduced to the actual lesson, reviewing the warm-up as guided practice, using Mathnook for independent practice, and completing an exit slip that will be used as an assessment.  For homework, they will be completing a worksheet that is created by Algebra4Children.

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EdPuzzle - A video lesson that allows students to engage directly with the lesson at their own pace.  This provides students with a different perspective and new understanding of how to solve an equation.

Quizizz - An engagement tool that is like Kahoot but the questions and answer choices are displayed on each of the student's screens.

Google Forms - Is used to assess students where the submissions are sent directly back to the teacher. Although short, this will be considered a quiz grade since they were able to have a lot of practice during class.

Mathnook - A website that includes fun math games. Instead of worksheets or group projects, students are able to have fun completing math equations. They can also compete with each other.    Check this one out!