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CCSS.Math.Content.HSA.REI.A.1 - Explain 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.

Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.REI.A.1 Explain Each Step In Solving A Simple Equation... Reasoning with Equations & Inequalities - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

(Page last edited 10/08/2017)

1. Algebra I Graphing Inequalities - graphing inequalities and testing assertion
2. Explain Why the x Coordinates of the Points Where the Graphs of the Equations y = f(x) and y = g(x) Intersect Are the Solutions of the Equation f(x) = g(x). - Students should understand that an equation and its graph are just two different representations of the same thing. The graph of the line or curve of a two-variable equation shows in visual form all of the solutions (infinite as they may be) to our equation in written form. When two equations are set to equal one another, their solution is the point at which graphically they intersect one another. Depending on the equations (and the alignment of the planets), there might be one solution, or more, or none at all. A quiz is provided.
3. Graph the Solutions to a Linear Inequality in Two Variables and Graph the Solution Set to a System of Linear Inequalities in Two Variables - All this is asking us to do is what we already know from the previous standards, plus one simple step. Students should know how to graph a linear inequality. A linear inequality is the same as a linear equation, but instead of an equal sign, we'll have to use the inequality signs (like ?, ?, <, and >). Because we're graphing an inequality and our linear equation is with a different sign now, it'll be shaded above or below the line as part of our solution. If the inequality is greater than or greater than or equal to (using either > or ?), then we shade the upper half of the graph. If the inequality if less than or less than or equal to (using either < or ?), then we shade the lower half of the graph. A quiz is provided.
4. Graphing Inequalities - Video lesson including tips
5. Graphing Inequalities - Video lesson on Graphing Inequalities
6. Graphing Linear Inequalities - Graphing Linear Inequalities in Two Variables
7. Inequalities - Graph a linear inequality in two variables
8. Problem solving - Weighted averages: word problems
9. Properties - Properties of equality
10. Simple Logical Arguments - simple logical reasoning
11. Simplifying Expressions - simplifying expressions and word problems
12. Solving and Graphing Linear Equations - Solving and graphing linear inequalities in two variables
13. Solving and Graphing Linear Equations - Solving and Graphing Linear Equations: Example 2
14. Solving and Graphing Linear Equations: 2 - Solving and Graphing Linear Equations
15. Systems of linear equations: Graphing - Solve a system of equations by graphing: word problems
16. Systems of linear equations: Substitution - Solve a system of equations using substitution: word problems

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