Math Level 5 

Term 1

Lesson 1-2

  • Write and evaluate numerical expressions involving whole-number exponents

  • Write, read, and evaluate expressions in which letters stands for numbers

  • Apply the properties of operations to generate equivalent expressions

  • Solve word problems related to algebra

Lesson 3-4

  • Divide a fraction by a whole number

  • Divide a whole number by a proper fraction

  • Divide a proper fraction by a proper fraction

  • Solve word problems related to fractions

Lesson 5 Review

Lesson 6-7

  • Understand ratio and rate concept

  • Compare ratio and rate

  • use ratio and rate reasoning to solve real-world mathematical problems

Lesson 8-9

  • Understand percentage and percentage change

  • Solve word problems related to percentage, discount, GST, percentage increase and percentage decrease

Lesson 10 Review

Lesson 11-12

  • Perform addition and subtraction of multi-digit decimals

  • Brainstorming and Problem-Solving Practice

Lesson 13-14

  • Recognize center, radius, diameter and circumference of a circle as well as semicircle and quarter circle

  • Calculate perimeter and area of a circle and composite figures  

  • Solve word problems related to circles and composite figures and solve related word problems

Lesson 15 Review

Lesson 16

  • Use angle properties to find unknown angles in geometric figures like square, rectangle, parallelogram, rhombus, trapezium, and different types of triangles

Lesson 17-18

  • Draw polygon in the coordinate plane given coordinates for the vertices

  • Look for the length of a side of polygon using joining points with the same first coordinate or the same second coordinate

Lesson 19

  • Brainstorming and Problem-Solving Practice

Lesson 20-21 Review & Test

 

Term 2

Lesson 22-23

  • Understand distance and speed

  • Look for average speed

  • Solve word problems related to speed

Lesson 24-25

  • Understand square root and cube root and find square root and cube root with the use of a calculator

  • Calculate the volume of a right rectangular prism

  • Look for one dimension of a cuboid given its volume and other dimensions, or the edge of a cube given its volume

  • Find surface area and volume of solids and liquids

  • Solve related word problems 

Lesson 26 Review

Lesson 27 

  • Read and interpret pie charts and use data from pie chart to solve word problems

Lesson 28-29

  • Identify different types of three-dimensional figures such as cube, cuboid, prism and pyramid

  • Recognize a solid based on its net

  • Represent solids using nets made up of rectangles and triangles

  • Use the nets to find the number of surfaces and surface area of these figures

Lesson 30 Review

Lesson 31-32

  • Understand the idea of  negative numbers 

  • Perform combined operations of real numbers 

  • Understand and express in exponential notation

  • Evaluate algebraic expressions and formulas

Lesson 33-34

  • Apply Distributive Law to addition and subtraction of linear algebraic expressions

  • Perform factorization by extracting common factors and by grouping terms

Lesson 35-36

  • Solve simple linear equations in one variable

  • Solve simple fractional equations

  • Form linear equations to solve problems

Lesson 37 Comprehensive quantitative reasoning practice

Lesson 38 Review

Lesson 39-40

  • More practice on percentage word problems

  • More practice on word problems related to perimeter and area

Lesson 41-42 Review & Test

Math Level 6 

Term 1

Lesson 1-2

  • Explore number patterns and sequence

  • Derive general form of a sequence

Lesson 3

  • Solve simple linear inequalities

Lesson 4 Review

Lesson 5-6

  • Find perimeter and area of circles, parallelograms, trapezium and composite plane figures

Lesson 7-8

  • Find volume and total surface area of prisms and composite solids

Lesson 9 Review

Lesson 10-11

  • Scale drawing

  • Use map scale to calculate area

  • Understand direct proportion and inverse proportion

Lesson 12 Review

Lesson 13-14

  • Draw and interpret dot plots

  • Understand measures of center (mean, median), and variation from the mean

  • Compare between mean, median and mode

Lesson 15

  • Express sets in set-builder notation

  • Understand equal sets, subsets, universal set, empty set, and complement of set, and explore the relationship of multiple sets

Lesson 16 Review

  • Understand the meaning of probability and basic properties of probabilities

  • Find probability of simple events

Lesson 17-18

  • Draw and interpret possibility diagram and tree diagram

  • Understand mutually exclusive events and independent events

  • Use sum and product rules of probability to solve problem

  • Find the probability of combined events

Lesson 19-20

  • Compare heights and lengths of two or more objects

  • Compare lengths using a start line

  • Measure length using common objects and different objects

  • Measure length in units

Lesson 21 Review & Test

 

Term 2

Lesson 22-23

  • Perform combined operations of integers

  • Perform addition and subtraction rational numbers

  • Perform multiplication and division of rational numbers

  • Round number to decimal places

Lesson 24-25

  • Understand and write exponential notation

  • Evaluate algebraic expression and formulas

  • Understand and use scientific notation

  • Formulate real-world situation with algebraic expression

Lesson 26 Review

Lesson 27-28

  • Understand linear change

  • Solve simple fractional equations and multi-step equations

  • Form linear equations to solve problems

Lesson 29

  • Perform conversion between speed units

  • Understand problems involving uniform speed and average speed

Lesson 30 Review

Lesson 31-32

  • Explore slopes of linear graphs

  • Write slope-intercept form to represent linear graphs

Lesson 33-34

  • Use proportional reasoning to estimate the percent of a number

  • Identify representative samples

  • Estimate with percent

  • Solve word problems involving discount and sales tax

Lesson 35 Review

Lesson 36-37

  • Explore triangle side length relationships and Pythagorean theorem

  • Find surface areas of prisms and pyramids

  • Calculate volume of prisms, pyramids and cones

Lesson 38-39

  • Use perpendicular bisector and angle bisector to solve related problems

  • Explore classification of triangles and construct triangles

  • Explore relationships between perimeters and areas of two similar figures

Lesson 40-41

  • Use counting principle to count numbers of choices

  • Find the number of permutations of a group of objects

  • Find the number of combinations of a group of objects

Lesson 42 Review & Test

Math Level 7 

Term 1

Lesson 1-2

  • Organize data in a scatter plot

  • Use a fitted line to make predictions

  • Use a 4-step problem-solving approach

  • Use tables, graphs, and equations to model relationship

Lesson 3-4

  • Use percents, fractions, and decimals to summarize the results of a survey

  • Identify and correct biased survey questions

  • Use proportional reasoning to estimate the percent of a number

  • Identify representative samples

Lesson 5 Review

Lesson 6

  • Estimate percents and use percent to solve real-world problems

  • Estimate percents of change

Lesson 7-8

  • Graph equations

  • Use equations and graphs to model situations

  • Use equation to make a prediction

  • Identify the y-intercept of a line

  • Write an equation of a line in slope-intercept form

Lesson 9 Review

Lesson 10

  • Interpret statements with and, or, and not

  • Organize information in a Venn diagram

Lesson 11-12

  • Find the volume of prisms, cylinders, and spheres

  • Find the surface area of a cylinder

  • Find and interpret the ratio of a cylinder’s surface area to its volume

Lesson 13

  • Recognize the characteristics of rational numbers

  • Use notation for repeating decimals

  • Solve equations containing rational numbers

Lesson 14 Review

Lesson 15-16

  • Use the counting principle to count numbers of choices

  • Find the number of permutations of a group of objects

  • Find numbers of combinations

  • Use the counting principle to determine the probability of an event

Lesson 17-18

  • Find a perpendicular bisector of a chord

  • Find experimental probabilities

  • Use a tree diagram to model and find theoretical probabilities

Lesson 19-20 Review & Non-routine Questions

Lesson 21 Review & Test

 

Term 2

Lesson 22-23

  • Identify irrational numbers

  • Simplify square roots, cube roots, and fourth roots

  • Simplify radical expressions

Lesson 24-25

  • Multiply and divide powers using properties of exponents

  • Simplify powers with zero and negative exponents

  • Represent small numbers in scientific notation and in decimal notation

Lesson 26 Review

  • Create nets for pyramids and prisms

  • Bisect an angle using a compass

  • Compare triangles using two sides and the included angle

Lesson 27-28

  • Identify and find the measures of pairs of angles formed by intersecting lines

  • Explore relationships between perimeters and area of two similar figures

Lesson 29

  • Use tables and graphs to model changes in data

  • Use tables, graphs, and equations to represent functions

Lesson 30 Review

Lesson 31

  • Write an equation to model compound interest

  • Model price changes and growth of a savings account

Lesson 32-33

  • Use algorithms to transform geometric shapes

  • Reflect geometric shapes

  • Predict the shape of a parabola

Lesson 34-35

  • Recognize quadratic equations

  • Simplify quadratic expressions

Lesson 36 Review

Lesson 37-38

  • Multiply and divide powers using properties of exponents

  • Simplify powers with zero and negative exponents

  • Represent small numbers in scientific notation and in decimal notation

Lesson 39-40

  • Find the distance between points on a coordinate grid

  • Find the midpoint of a segment on a coordinate grid

  • Use tangent ratio to find unknown side lengths in right triangles

  • Use sine and cosine ratios to find unknown side lengths in right triangles

Lesson 41 Review & Non-routine Questions

Lesson 42 Review & Test