Grade 9 Mathematics weekly lessons

Suggested weekly sequencing of competencies for lesson pacing.

Mathematics

Term 1

10 weekly groups
Week1Lesson plan
  1. Illustrate and describe point, line, ray, line segment, angle, and plane using models and geometric notations.
  2. Construct perpendicular and parallel lines.
Week2Lesson plan
  1. Identify the relationships between angles formed by parallel lines cut by a transversal.
  2. Determine angle measures involving angle pairs, parallel and perpendicular lines, and parallel lines cut by a transversal.
Week3Lesson plan
  1. Identify relations that are functions based on the definitions of relations and functions.
  2. Determine the domain and the range of a function expressed in different representations.
  3. Express the relationship between two variables as a function.
  4. Determine the slopes, as rate of change, and the zeros of linear functions represented in: a. graphs; b. equations; c. tables of values.
Week4Lesson plan
  1. Identify relations that are functions based on the definitions of relations and functions.
  2. Determine the domain and the range of a function expressed in different representations.
  3. Express the relationship between two variables as a function.
  4. Determine the slopes, as rate of change, and the zeros of linear functions represented in: a. graphs; b. equations; c. tables of values.
Week5Lesson plan
  1. Graph a linear function and determine its: a. domain; b. range; c. intercepts; d. slope.
  2. Represent linear relationships found in real-life situations using different representations.
Week6Lesson plan
  1. Solve problems involving linear functions.
  2. Determine conditions that guarantee parallelism and perpendicularity of lines.
Week7Lesson plan
  1. Classify quadrilaterals based on formal definitions.
  2. Use properties of parallelograms to find measures of angles, sides, perpendicular height, and diagonals.
Week8Lesson plan
  1. Classify quadrilaterals based on formal definitions.
  2. Use properties of parallelograms to find measures of angles, sides, perpendicular height, and diagonals.
Week9Lesson plan
  1. Solve problems involving parallelograms, rectangles, squares, or rhombuses by applying their different properties.
Week10Lesson plan
  1. Prove properties of parallelograms by applying the relevant theorems.

Term 2

10 weekly groups
Week1Lesson plan
  1. Derive the properties of trapezoids and kites by exploring the relationship between their parts and secondary parts.
  2. Solve problems on trapezoids and kites by applying their properties.
  3. Distinguish inductive and deductive reasoning for establishing proofs.
Week2Lesson plan
  1. Derive the properties of trapezoids and kites by exploring the relationship between their parts and secondary parts.
  2. Solve problems on trapezoids and kites by applying their properties.
  3. Distinguish inductive and deductive reasoning for establishing proofs.
Week3Lesson plan
  1. State postulates and theorems about defined and undefined terms in geometry, and formulates proofs involving them.
  2. Use the triangle congruence postulates and theorems to illustrate congruence of triangles, including CPCTC, definition of congruent triangles.
Week4Lesson plan
  1. Solve problems involving right triangle congruence theorems, isosceles triangle theorem, perpendicular bisector theorem, and midline theorem.
Week5Lesson plan
  1. Construct and justify the construction of segments, angles and triangles, including, but not limited to, the triangle's secondary parts and centers, using the triangle congruence postulates and theorems.
  2. Construct congruence proofs involving triangles or corresponding parts of triangles using a two-column proof.
Week6Lesson plan
  1. Represent real-life situations that can be modelled using quadratic relationships.
  2. Graph equations in two variables to represent quadratic relationships, such as y = ax², y = ax² + b, y = a(x-b)².
Week7Lesson plan
  1. Interpret features of a parabola such as vertex, axis of symmetry, x-intercepts, opening direction, minimum or maximum value, zeros, and increasing and decreasing intervals.
  2. Transform the quadratic functions y = ax², y = ax² + b, y = a(x-b)² and y = ax² + bx + c into the form y = a(x-h)² + k and vice versa.
Week8Lesson plan
  1. Sketch the graph of quadratic functions expressed in equation form.
  2. Analyze the effect of changing the values of the parameters on the behavior of its graph and on the properties of the quadratic function y = a(x-h)² + k.
Week9Lesson plan
  1. Find the zeros of quadratic functions in factored and standard form, graphically and algebraically.
  2. Solve quadratic equations by: a. extracting square roots; b. factoring; c. using the quadratic formula.
Week10Lesson plan
  1. Solve problems involving quadratic functions and equations.

Term 3

10 weekly groups
Week1Lesson plan
  1. Illustrate similarity of polygons.
  2. Illustrate and apply triangle similarity theorems in different situations.
Week2Lesson plan
  1. Solve problems involving triangle similarity.
  2. Solve problems involving measures of sides and angles of special triangles: 30-60-90 and 45-45-90.
  3. Illustrate real-life situations that involve direct variation and real-life situations that involve inverse variation.
Week3Lesson plan
  1. Solve problems involving triangle similarity.
  2. Solve problems involving measures of sides and angles of special triangles: 30-60-90 and 45-45-90.
  3. Illustrate real-life situations that involve direct variation and real-life situations that involve inverse variation.
Week4Lesson plan
  1. Translate a relationship between two quantities into a variation statement and/or a mathematical equation, given a table of values or a graph.
  2. Solve problems involving variation.
Week5Lesson plan
  1. Solve problems involving the perpendicular bisector theorem, isosceles triangle theorem, theorems on equilateral triangles, and the midline theorem.
  2. Explain theorems on triangle inequalities and apply these theorems in comparing measures in a triangle.
  3. Determine the values of the sine, cosine, and tangent trigonometric ratios corresponding to the angles of the special triangles.
  4. Find the values of the sine, cosine, and tangent ratios of any acute angle.
  5. Use the trigonometric ratios in solving right triangles.
Week6Lesson plan
  1. Solve problems involving the perpendicular bisector theorem, isosceles triangle theorem, theorems on equilateral triangles, and the midline theorem.
  2. Explain theorems on triangle inequalities and apply these theorems in comparing measures in a triangle.
  3. Determine the values of the sine, cosine, and tangent trigonometric ratios corresponding to the angles of the special triangles.
  4. Find the values of the sine, cosine, and tangent ratios of any acute angle.
  5. Use the trigonometric ratios in solving right triangles.
Week7Lesson plan
  1. Solve problems involving the perpendicular bisector theorem, isosceles triangle theorem, theorems on equilateral triangles, and the midline theorem.
  2. Explain theorems on triangle inequalities and apply these theorems in comparing measures in a triangle.
  3. Determine the values of the sine, cosine, and tangent trigonometric ratios corresponding to the angles of the special triangles.
  4. Find the values of the sine, cosine, and tangent ratios of any acute angle.
  5. Use the trigonometric ratios in solving right triangles.
Week8Lesson plan
  1. Illustrate angles of elevation and angles of depression.
  2. Solve real-life problems involving right triangles through the application of the trigonometric ratios.
Week9Lesson plan
  1. Interpret and analyze data from the digital media that are in tabular or graphical form to assess whether the data may be misleading.
  2. Illustrate simple and compound events.
Week10Lesson plan
  1. Determine the probabilities of simple and compound events.
  2. Solve problems involving probabilities of simple and compound events.