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ALGEBRA 2

ALGEBRA 2. EALR 1: The student understands and applies the concepts and procedures of mathematics. Select and Justify equations and equations to model and solve problem Solve problems that can be represented by systems of equations and inequalities.

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ALGEBRA 2

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  1. ALGEBRA 2

  2. EALR 1: The student understands and applies the concepts and procedures of mathematics. • Select and Justify equations and equations to model and solve problem • Solve problems that can be represented by systems of equations and inequalities. • Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.

  3. EALR 2: The student uses mathematics to define and solve problems. • Select and Justify equations and equations to model and solve problems • Solve problems that can be represented by systems of equations and inequalities. • Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.

  4. EALR 3: The student uses mathematical reasoning. • Select and Justify equations and equations to model and solve problems • Solve problems that can be represented by systems of equations and inequalities. • Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.

  5. EALR 4: The student communicates knowledge and understanding in both everyday and mathematical language. • Select and Justify equations and equations to model and solve problem • Solve problems that can be represented by systems of equations and inequalities. • Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.

  6. EALR 5: The student understands how mathematical ideas connect within mathematics, to other subjects. • Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.

  7. GEOMETRY

  8. EALR 1: The student understands and applies the concepts and procedures of mathematics. • Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines • Know, explain and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle. • Generalize a solution strategy for a single problem to a class of related problems, and apply a strategy for a class of related problems to solve specific problems.

  9. EALR 2: The student uses mathematics to define and solve problems. • Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal. • Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent. • Apply formulas for surface area and volume of three-dimensional figures to solve problems.

  10. EALR 3: The student uses mathematical reasoning. • Use deductive reasoning to prove that a valid geometric statement is true. • Use inductive reasoning to make conjectures, to test the plausibility of a geometric statement, and to help find a counterexample. • Predict and verify the effect that changing one, two, or three linear dimensions has on perimeter, area, volume, or surface area of two- and three-dimensional figures.

  11. EALR 4: The student communicates knowledge and understanding in both everyday and mathematical language. • Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems. • Summarize mathematical ideas with precision and efficiency for a given audience and purpose. • Analyze a problem situation and represent it mathematically.

  12. EALR 5: The student understands how mathematical ideas connect within mathematics, to other subjects. • Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space. • Know, prove, and apply the Pythagorean Theorem and its converse. • Analyze distance and angle measures on a sphere and apply these measurements to the geometry of the earth.

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