**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.
- Solve quadratic equations and problems involving quadratic functions.
- 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.

## All Grades

Pre-K | Kdg. | Gr. 1 | Gr. 2 | Gr. 3 | Gr. 4 | Gr. 5 |

Gr. 6 | Gr. 7 | Gr. 8 | Gr. 9 | Gr. 10 | Gr.11 | Gr. 12 |