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## 10th Grade Math Course of Study

The following list provides you with the basic concepts that should be attained by the end of the school year. Mastery of the concepts at the previous grade is assumed.

Number

• An understanding of consumer math, budgets, before and after tax wages, income statements, financial math.
• Understand and illustrate interrelationships of sets of numbers.
• Use the complex number system through the investigation of problems.
• Use appropriate mathematical language and symbols in all problem solving situations.

Measurement

• Apply Pythagoras' Theorem, the primary trigonometric ratios, and their applications.
• Identify, construct and solve problems involving line segments, rays, lines, bisectors, medians, perpendicular line, perpendicular bisector, transversal, alternate interior angles, corresponding angles, same-side interior angles.
• Use trigonometric ratios to solve problems involving indirect measurement.
• Be able to use a compass, straight edge manipulatives, and technology to explore geometric constructions and their applications and be able to apply them to real life situations.

Geometry and Trigonometry

• Problem solve and understand common properties of triangles, special quadrilaterals, and n-gons.
• Inves multi-step problems using linear equations and investigate the properties of slope.
• Graph ordered pairs in the Cartesian coordinate plane, and graph real-world relations in the Cartesian coordinate plane.
• Identify the special properties of right triangles, including the sine, cosine, and tangent ratios, to solve problems involving more than one right triangle.
• Use Analytic Geometry to solve problems involving the intersection of two straight lines and verify geometric properties of triangles and quadrilaterals.
• Develop the primary trigonometric ratios, using the properties of similar triangles and solve trigonometric problems involving triangles.

Algebra

• Add, subtract, multiply and divide rational numbers and polynomials.
• Understand, represent and analyze relationships, using tables, verbal rules, equations, and graphs.
• Be able to solve problems that involve variable quantities with expressions, equations, inequalities, and matrices.

Probability/Data Management

• Identify, describe, implement, and analyze sampling procedures, and draw conclusions and inferences from collected data.
• Make informed inferences to real life/population data collections.
• A demonstrated ability to use logical reasoning, estimation and mental computations, to determine the validity of a solution in algebraic, geometrical, and statistical problems.
• Develop and analyze algorithms.

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