Grade 7 Mathematics weekly lessons

Suggested weekly sequencing of competencies for lesson pacing.

Mathematics

Term 1

10 weekly groups
Week1Lesson plan
  1. Draw and describe regular and irregular polygons with 5, 6, 8, or 10 sides, based on measurements of sides and angles, using a ruler and protractor.
  2. Draw triangles, quadrilaterals, and regular polygons (5, 6, 8, or 10 sides) with given angle measures.
Week2Lesson plan
  1. Describe and explain the relationships between angle pairs based on their measures.
  2. Classify polygons according to the number of sides, whether they are regular or irregular, and whether they are convex or non-convex.
Week3Lesson plan
  1. Deduce the relationship between the exterior angle and adjacent interior angle of a polygon.
  2. Determine the measures of angles and the number of sides of polygons.
Week4Lesson plan
  1. Solve problems involving: a. percentage increase; b. percentage decrease.
  2. Solve money problems involving percentages (e.g., discount, commission, sales tax, simple interest).
Week6Lesson plan
  1. Identify and explain the uses of rates.
  2. Solve problems involving rates (e.g., speed).
Week7Lesson plan
  1. Describe given rational numbers as fractions, decimals, or percentages.
  2. Order rational numbers on a number line.
Week8Lesson plan
  1. Perform operations on rational numbers.
Week9Lesson plan
  1. Perform operations on rational numbers.
Week10Lesson plan
  1. Determine the square roots of perfect squares and the cube roots of perfect cubes.
  2. Identify irrational numbers involving square roots and cube roots, and their locations on the number line.

Term 2

10 weekly groups
Week1Lesson plan
  1. Convert units of measure within the International System of Units (SI) and across different systems of measure.
Week2Lesson plan
  1. Convert units of measure within the International System of Units (SI) and across different systems of measure.
Week3Lesson plan
  1. Explain inductively the volume of a cylinder using the area of a circle, leading to the identification of the formula.
  2. Find the volume of a cylinder.
  3. Solve problems involving the volumes of cylinders.
Week4Lesson plan
  1. Explore inductively the volume of square and rectangular pyramids using rectangular prisms, leading to the identification of the formula.
  2. Estimate volumes of square and rectangular pyramids.
  3. Solve problems involving volumes of square or rectangular pyramids.
Week5Lesson plan
  1. Describe sets and their subsets, the union of sets, and the intersection of sets.
  2. Illustrate sets and their subsets, the union of sets, and the intersection of sets, through the use of Venn diagrams.
Week6Lesson plan
  1. Illustrate the different subsets of real numbers.
  2. Investigate different data collection and sampling techniques.
Week7Lesson plan
  1. Organize statistical data in a frequency distribution table.
  2. Use appropriate graphs to represent organized data: pie graph, bar graph, line graph, and stem-and-leaf plot.
  3. Interpret statistical graphs.
Week8Lesson plan
  1. Organize statistical data in a frequency distribution table.
  2. Use appropriate graphs to represent organized data: pie graph, bar graph, line graph, and stem-and-leaf plot.
  3. Interpret statistical graphs.
Week9Lesson plan
  1. Describe the set of integers.
  2. Use positive and negative numbers to describe directions or opposites in real-life situations.
Week10Lesson plan
  1. Locate integers on the number line.
  2. Compare and order integers.

Term 3

10 weekly groups
Week1Lesson plan
  1. Add and subtract integers; using concrete models (e.g., counters, integer chips), pictorial models (e.g., bar models, number lines), and with integers written as numerals.
Week2Lesson plan
  1. Multiply and divide integers.
  2. Simplify numerical expressions involving integers using number properties and the order of operations (GEMDAS).
Week3Lesson plan
  1. Identify the absolute value of an integer, and its meaning on the number line.
  2. Solve simple equations represented by bar models to find unknowns.
Week4Lesson plan
  1. Distinguish a variable from a constant in an algebraic expression.
  2. Evaluate algebraic expressions given the value/s of the variable/s.
Week5Lesson plan
  1. Translate verbal phrases into algebraic expressions.
  2. Illustrate the properties of equality.
Week6Lesson plan
  1. Solve one variable in terms of the other variables in a formula.
  2. Write equations in algebraic form.
Week7Lesson plan
  1. Find the value of an unknown in an equation where the unknown is non-negative.
  2. Solve problems involving algebraic expressions and formulas.
Week8Lesson plan
  1. Collect data from experiments (e.g., number of heads obtained when tossing a coin, a number of times, number of prime numbers obtained when rolling a die a number of times).
  2. Express outcomes in words and/or symbols, and represent outcomes in tables and/or graphs.
Week9Lesson plan
  1. Solve problems using the outcomes of experiments.
  2. Write numbers in scientific notation to represent very large or very small numbers, and vice versa.
Week10Lesson plan
  1. Perform operations on numbers expressed in scientific notation.