Reasoning with Equations & Inequalities in One Variable

Equations and inequalities in one variable, including equations with coefficients represented by letters. Learn to solve, graph, and interpret solutions in the real world, with a focus on justifying solutions and creating mathematical models. Dive into key features of graphs, systems of linear equations, and rearranging formulas to uncover quantities of interest. Enhance your understanding of arithmetic sequences as linear functions to sharpen your problem-solving skills.

• Equations
• Inequalities
• Linear
• Coefficients
• Graphs

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Uploaded on Mar 03, 2025 | 0 Views

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1. REASONING WITH REASONING WITH EQUATIONS & EQUATIONS & INEQUALITIES INEQUALITIES M G S E 9 - 1 2 . A . R E I . 3 S O LV E L I N E A R E Q U AT I O N S A N D I N E Q U A L I T I E S I N O N E V A R I A B L E I N C L U D I N G E Q U AT I O N S W I T H C O E F F I C I E N T S R E P R E S E N T E D B Y L E T T E R S .

2. STANDARD: MGSE9-12.A.REI.3 SOLVE LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE INCLUDING EQUATIONS WITH COEFFICIENTS REPRESENTED BY LETTERS. Linear Equations in the Real World https://www.youtube.com/watch?v=8eXb-6wQUks

3. UNIT RATIONAL: Building on standards from middle school, students will analyze linear functions only. Students will: Investigate key features of graphs Create, solve, and model graphically linear equations and inequalities in one and two variables Create, solve and model graphically systems of linear equations in two variables Create and interpret systems of inequalities where applicable; for example, students will create a system a system to define the domain of a particular situations, such as situation limited to the first quadrant; the focus is not on solving systems of inequalities Rearrange formulas to highlight a quantity of interest Recognize arithmetic sequences as linear functions

4. LESSON ESSENTIAL QUESTIONS How do I create linear equations from graphs? How do I represent constraints by equations or inequalities? How do I justify the solution to an equation?

5. VOCABULARY Algebra Factor Coefficient Function Constant Inequality Linear Constraints Quantity Coordinate Axes Simplify Equation Solutions Equivalent Expression Term Expression Variable

6. AT THE END OF UNIT 2 STUDENTS SHOULD BE ABLE TO SAY I CAN Justify the solution of a linear equation and inequality in one variable. Justify the solution to a system of 2 equations in two variables. Solve a system of linear equations in 2 variables by graphing. Graph a linear inequality in 2 variables.

7. INTRODUCTION ION: KEY IDEAS Example: Solve 2(3 a) = 18. Solution: Solve the equation using either of these two ways: 2(3 a) = 18 2(3 a) = 18 3 a = 9 6 2a = 18 a = 6 2a = 12 a = 6

8. HELPFUL HINTS Order of Operations! (With 6 Examples) https://www.youtube.com/watch?v=dXvvGc9TldY Algebra Basics: Exponents In Algebra - Math Antics https://www.youtube.com/watch?v=S3IEeCyUWWA Linear Equations in the Real World https://www.youtube.com/watch?v=8eXb-6wQUks

9. EXTRA HELP https://www.youtube.com/watch?v=UZnbiLoQiBQ