Grade 10 Mathematics weekly lessons

Suggested weekly sequencing of competencies for lesson pacing.

Mathematics

Term 1

10 weekly groups
Week1Lesson plan
  1. Apply laws of sines in solving oblique triangles, including ambiguous cases.
Week2Lesson plan
  1. Apply laws of cosines in solving oblique triangles.
Week3Lesson plan
  1. Describe the position of points in the Cartesian plane.
  2. Describe translations, reflections, and rotations, in the Cartesian plane using coordinates.
Week4Lesson plan
  1. Solve problems involving laws of sines and cosines, including bearings.
Week5Lesson plan
  1. Illustrate on the number line quadratic inequalities in one variable.
  2. Solve quadratic inequalities in one variable and express solutions in various notations.
  3. Solve problems involving quadratic inequalities in one variable.
  4. Solve quadratic inequalities in two variables.
Week6Lesson plan
  1. Illustrate on the number line quadratic inequalities in one variable.
  2. Solve quadratic inequalities in one variable and express solutions in various notations.
  3. Solve problems involving quadratic inequalities in one variable.
  4. Solve quadratic inequalities in two variables.
Week7Lesson plan
  1. Determine the region of solutions of a linear or quadratic inequality in two variables.
  2. Solve absolute value equations in one variable and express solutions in various notations.
Week8Lesson plan
  1. Solve absolute value inequalities in one variable and express solutions in various notations.
  2. Illustrate measures of position: quartiles, deciles, and percentiles.
Week9Lesson plan
  1. Construct and interpret box-and-whisker plots and cumulative frequency histograms and polygons.
  2. Calculate a specified measure of position, interquartile range, and outliers, from ungrouped data.
Week10Lesson plan
  1. Calculate the percentile rank of a given score from ungrouped data.
  2. Draw conclusions from statistical data using the measures of position.

Term 2

10 weekly groups
Week1Lesson plan
  1. Illustrate the laws of rational non-integral exponents.
  2. Simplify radical expressions.
Week2Lesson plan
  1. Perform operations involving radical expressions, including rationalizing the denominator.
Week3Lesson plan
  1. Determine the nature of roots of a quadratic equation using the discriminant.
  2. Determine the equation of a quadratic function given: a. a table of values; b. its graph; c. its zeros.
  3. Solve equations reducible to quadratic equations, e.g., y = x⁴ + 5x² + 4 = 0.
Week4Lesson plan
  1. Determine the nature of roots of a quadratic equation using the discriminant.
  2. Determine the equation of a quadratic function given: a. a table of values; b. its graph; c. its zeros.
  3. Solve equations reducible to quadratic equations, e.g., y = x⁴ + 5x² + 4 = 0.
Week5Lesson plan
  1. Solve problems involving quadratic functions.
Week6Lesson plan
  1. Solve radical equations, including equations reducible to linear or quadratic equations.
  2. Transform the equation of a circle from center-radius form to general form, and vice versa.
Week7Lesson plan
  1. Determine the center and the radius of a circle from a given equation.
  2. Sketch the graph of a circle given its equation.
Week8Lesson plan
  1. Determine the center and the radius of a circle from a given equation.
  2. Sketch the graph of a circle given its equation.
Week9Lesson plan
  1. Find the equation of a circle from given conditions, e.g., given two points as the endpoints of a diameter.
  2. Solve problems involving geometric figures on the Cartesian plane.
Week10Lesson plan
  1. Find the equation of a circle from given conditions, e.g., given two points as the endpoints of a diameter.
  2. Solve problems involving geometric figures on the Cartesian plane.

Term 3

10 weekly groups
Week1Lesson plan
  1. Evaluate statistical reports by linking claims to displays, statistics, and representative data.
  2. Illustrate mutually exclusive events and non-mutually exclusive events.
Week2Lesson plan
  1. Identify complementary events.
  2. Solve probability problems involving: a. union and intersection of events, including mutually and non-mutually exclusive events; b. dependent and independent events, including conditional probability where the solution is limited to the use of contingency tables or Venn diagrams; c. complementary events.
  3. Explore inductively the relationship between simple interest and compound interest.
Week3Lesson plan
  1. Identify complementary events.
  2. Solve probability problems involving: a. union and intersection of events, including mutually and non-mutually exclusive events; b. dependent and independent events, including conditional probability where the solution is limited to the use of contingency tables or Venn diagrams; c. complementary events.
  3. Explore inductively the relationship between simple interest and compound interest.
Week4Lesson plan
  1. Calculate compound interest by repeated applications of simple interest.
  2. Solve problems involving compound interest by repeated applications of simple interest.
Week5Lesson plan
  1. Explain inductively the formulas for compound interest and depreciation.
  2. Explore inductively the differences in the amount of compound interest obtained on amounts of money invested: a. annually; b. quarterly; c. monthly.
Week6Lesson plan
  1. Solve real-life problems involving: a. compound interest; b. depreciation.
Week7Lesson plan
  1. Establish properties and relationships for central angles, inscribed angles, secants, and tangents, of a circle.
  2. Solve problems involving: a. central angles; b. inscribed angles; c. angles formed by two intersecting chords; d. angles formed by two secants intersecting outside the circle; e. angles formed by two intersecting tangents; f. angles formed by intersecting secant and tangent.
  3. Establish properties and relationships for chords, secants, and tangents.
Week8Lesson plan
  1. Establish properties and relationships for central angles, inscribed angles, secants, and tangents, of a circle.
  2. Solve problems involving: a. central angles; b. inscribed angles; c. angles formed by two intersecting chords; d. angles formed by two secants intersecting outside the circle; e. angles formed by two intersecting tangents; f. angles formed by intersecting secant and tangent.
  3. Establish properties and relationships for chords, secants, and tangents.
Week9Lesson plan
  1. Solve problems involving lengths of: a. intersecting chords; b. two secant segments intersecting outside a circle; c. two intersecting tangent segments.
  2. Define sectors and segments of a circle and find their areas.
Week10Lesson plan
  1. Solve problems involving area of a sector of a circle, segment of a circle, and shaded regions in other figures that involve sectors or segments.