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GRADE 9 MATH - COURSE OUTLINE 1. REVIEW - 5% • Problem Solving • Integers • Rational Numbers • Percents • Measurement 2. POWERS AND ROOTS - 10% (Number: Number Concepts) • Multiplying and Dividing Powers • Zero and Negative Exponents • Powers of Products, Quotients, and Powers • Power Expressions Involving Variables • Operating with Numbers in Scientific Notation • Estimating Square Roots • Rational and Irrational Numbers 3. ALGEBRA - 12% (Patterns and Relations: Variables and Expressions) • The Concept of a Variable • Representing Variables and Expressions • Combining Like Terms • Solving Equations Using Algebra Tiles • Solving Equations Algebraically • Simplifying Equations before Solving • Solving Inequalities 4. TRANSFORMATIONS - 4% (Shape and Space: 3-D Objects and 2-D Shapes) • Translations • Reflections • Rotations • Combining Transformations • Dilatations and Similarity • Identifying Transformations 5. ALGEBRA APPLICATIONS - 10% (Patterns and Relations: Variables and Expressions) • Solving Problems in Different Ways • Solving Problems Using Equations 6. CONGRUENCE AND SIMILARITY - 6% (Shape and Space: 3-D Objects and 2-D Shapes) • Constructing Triangles Using Compasses and Ruler • Constructing Triangles Using Ruler and Protractor • Congruent Lines, Angles, and Figures • Conditions for Congruence • Similar Figures • Similar Triangles • Solving Problems Using Similar Triangles 7. RIGHT TRIANGLE CALCULATIONS - 6% (Shape and Space: 3-D Objects and 2-D Shapes) • The Tangent Ratio in Right Triangles • Calculating the Angles in a Right Triangle: Part 1 • The Sine and Cosine Ratios in Right Triangles • Calculating the Angles in a Right Triangle: Part 2 • Working with Right Triangles 8. POLYNOMIALS - 8% (Patterns and Relations: Variables and Expressions) • The Concept of a Polynomial • Adding and Subtracting Polynomials • Multiplying and Dividing Polynomials • Multiplying a Polynomial by a Monomial • Factoring Polynomials • Dividing a Polynomial by a Monomial • Multiplying Two Binomials • Factoring Trinomials 9. GEOMETRY - 5% (Shape and Space: 3-D Objects and 2-D Shapes) • Sketching Polyhedra • Sketching Paths and Regions • Surface Areas of Pyramids • Solving Design Problems in Two Dimensions • Solving Design Problems in Three Dimensions • Volume of a Cone • Volume of a Rectangular Pyramid 10. DATA ANALYSIS - 4% (Statistics and Probability) • Investigating Relationships in Data • Graphing Scatterplots • Line of Best Fit • Reliable Sampling Methods • Assessing Reported Data • Making Predictions • Probability • Independent Events 11. MID YEAR EXAM - 10% 12. FINAL EXAM - 20%