Grade 9-ALGEBRA1
Overall ExpectationsBy the end of this course, students will:
- Identify, write, and graph inverse variation.
- Identify, write, and graph direct variation.
- Simplify rational expressions
- Identify excluded values of rational expressions
- Multiply and divide rational expressions
- Add and subtract rational expressions with like denominators
- Add and subtract rational expressions with unlike denominators
- Solving rational equations.
- Identify extraneous solutions
- Simplify radical expressions
- Add and subtract radical expressions.
- Multiply and divide rational expressions
- Rationalize denominators
- Solve radical equations
- Identify solutions of systems of linear equations in two variables.
- Solve systems of linear equations in two variables by graphing.
- Solve systems of linear equations in two variables by substitution.
- Solve systems of linear equations in two variables by elimination.
- Compare and choose an appropriate method for solving systems of linear equations.
- Graph and solve linear inequalities in two variables.
- Graph and solve systems of linear inequalities in two variables.
- Determine the experimental probability of an event.
- Use experimental probability to make predictions
- Determine the theoretical probability of an event.
- Convert between probabilities and odds.
- Find the probability of independent events.
- Find the probability of dependent events.
                                                                            GeometryÂ
Overall Expectations By the end of this course, students will:Â
- Classify triangles by their angle measures and side lengths.
- Use triangle classification to find angle measures and side lengths.
- Use properties of congruent triangles.
- Prove triangles congruent by using the definition of congruence.
- Use the Pythagorean Theorem and its converse to solve problems.
- Use Pythagorean inequality to classify triangles.
- Apply SSS and SAS to construct triangles and solve problems.
- Prove triangles congruent by SSS and SAS.
- Apply ASA, AAS, and HL to construct triangles and to solve problems.
- Prove triangles congruent by ASA, AAS, and HL.
- Use CPCTC to prove parts of triangles are congruent.
- Identify tangents, secants, and chords.
- Use properties of tangents to solve problems.
- Apply properties of arcs.
- Apply properties of chords.
- Find the area of sectors.
- Find arc lengths.
- Find the measure of an inscribed angle.
- Use inscribed angles and their properties to solve problems.