## 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