Math Level 5
Term 1
Lesson 1-2
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Write and evaluate numerical expressions involving whole-number exponents
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Write, read, and evaluate expressions in which letters stands for numbers
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Apply the properties of operations to generate equivalent expressions
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Solve word problems related to algebra
Lesson 3-4
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Divide a fraction by a whole number
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Divide a whole number by a proper fraction
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Divide a proper fraction by a proper fraction
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Solve word problems related to fractions
Lesson 5 Review
Lesson 6-7
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Understand ratio and rate concept
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Compare ratio and rate
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use ratio and rate reasoning to solve real-world mathematical problems
Lesson 8-9
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Understand percentage and percentage change
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Solve word problems related to percentage, discount, GST, percentage increase and percentage decrease
Lesson 10 Review
Lesson 11-12
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Perform addition and subtraction of multi-digit decimals
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Brainstorming and Problem-Solving Practice
Lesson 13-14
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Recognize center, radius, diameter and circumference of a circle as well as semicircle and quarter circle
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Calculate perimeter and area of a circle and composite figures
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Solve word problems related to circles and composite figures and solve related word problems
Lesson 15 Review
Lesson 16
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Use angle properties to find unknown angles in geometric figures like square, rectangle, parallelogram, rhombus, trapezium, and different types of triangles
Lesson 17-18
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Draw polygon in the coordinate plane given coordinates for the vertices
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Look for the length of a side of polygon using joining points with the same first coordinate or the same second coordinate
Lesson 19
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Brainstorming and Problem-Solving Practice
Lesson 20-21 Review & Test
Term 2
Lesson 22-23
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Understand distance and speed
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Look for average speed
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Solve word problems related to speed
Lesson 24-25
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Understand square root and cube root and find square root and cube root with the use of a calculator
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Calculate the volume of a right rectangular prism
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Look for one dimension of a cuboid given its volume and other dimensions, or the edge of a cube given its volume
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Find surface area and volume of solids and liquids
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Solve related word problems
Lesson 26 Review
Lesson 27
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Read and interpret pie charts and use data from pie chart to solve word problems
Lesson 28-29
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Identify different types of three-dimensional figures such as cube, cuboid, prism and pyramid
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Recognize a solid based on its net
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Represent solids using nets made up of rectangles and triangles
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Use the nets to find the number of surfaces and surface area of these figures
Lesson 30 Review
Lesson 31-32
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Understand the idea of negative numbers
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Perform combined operations of real numbers
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Understand and express in exponential notation
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Evaluate algebraic expressions and formulas
Lesson 33-34
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Apply Distributive Law to addition and subtraction of linear algebraic expressions
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Perform factorization by extracting common factors and by grouping terms
Lesson 35-36
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Solve simple linear equations in one variable
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Solve simple fractional equations
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Form linear equations to solve problems
Lesson 37 Comprehensive quantitative reasoning practice
Lesson 38 Review
Lesson 39-40
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More practice on percentage word problems
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More practice on word problems related to perimeter and area
Lesson 41-42 Review & Test
Math Level 6
Term 1
Lesson 1-2
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Explore number patterns and sequence
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Derive general form of a sequence
Lesson 3
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Solve simple linear inequalities
Lesson 4 Review
Lesson 5-6
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Find perimeter and area of circles, parallelograms, trapezium and composite plane figures
Lesson 7-8
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Find volume and total surface area of prisms and composite solids
Lesson 9 Review
Lesson 10-11
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Scale drawing
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Use map scale to calculate area
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Understand direct proportion and inverse proportion
Lesson 12 Review
Lesson 13-14
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Draw and interpret dot plots
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Understand measures of center (mean, median), and variation from the mean
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Compare between mean, median and mode
Lesson 15
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Express sets in set-builder notation
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Understand equal sets, subsets, universal set, empty set, and complement of set, and explore the relationship of multiple sets
Lesson 16 Review
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Understand the meaning of probability and basic properties of probabilities
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Find probability of simple events
Lesson 17-18
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Draw and interpret possibility diagram and tree diagram
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Understand mutually exclusive events and independent events
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Use sum and product rules of probability to solve problem
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Find the probability of combined events
Lesson 19-20
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Compare heights and lengths of two or more objects
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Compare lengths using a start line
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Measure length using common objects and different objects
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Measure length in units
Lesson 21 Review & Test
Term 2
Lesson 22-23
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Perform combined operations of integers
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Perform addition and subtraction rational numbers
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Perform multiplication and division of rational numbers
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Round number to decimal places
Lesson 24-25
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Understand and write exponential notation
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Evaluate algebraic expression and formulas
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Understand and use scientific notation
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Formulate real-world situation with algebraic expression
Lesson 26 Review
Lesson 27-28
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Understand linear change
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Solve simple fractional equations and multi-step equations
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Form linear equations to solve problems
Lesson 29
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Perform conversion between speed units
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Understand problems involving uniform speed and average speed
Lesson 30 Review
Lesson 31-32
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Explore slopes of linear graphs
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Write slope-intercept form to represent linear graphs
Lesson 33-34
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Use proportional reasoning to estimate the percent of a number
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Identify representative samples
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Estimate with percent
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Solve word problems involving discount and sales tax
Lesson 35 Review
Lesson 36-37
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Explore triangle side length relationships and Pythagorean theorem
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Find surface areas of prisms and pyramids
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Calculate volume of prisms, pyramids and cones
Lesson 38-39
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Use perpendicular bisector and angle bisector to solve related problems
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Explore classification of triangles and construct triangles
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Explore relationships between perimeters and areas of two similar figures
Lesson 40-41
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Use counting principle to count numbers of choices
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Find the number of permutations of a group of objects
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Find the number of combinations of a group of objects
Lesson 42 Review & Test
Math Level 7
Term 1
Lesson 1-2
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Organize data in a scatter plot
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Use a fitted line to make predictions
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Use a 4-step problem-solving approach
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Use tables, graphs, and equations to model relationship
Lesson 3-4
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Use percents, fractions, and decimals to summarize the results of a survey
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Identify and correct biased survey questions
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Use proportional reasoning to estimate the percent of a number
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Identify representative samples
Lesson 5 Review
Lesson 6
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Estimate percents and use percent to solve real-world problems
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Estimate percents of change
Lesson 7-8
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Graph equations
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Use equations and graphs to model situations
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Use equation to make a prediction
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Identify the y-intercept of a line
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Write an equation of a line in slope-intercept form
Lesson 9 Review
Lesson 10
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Interpret statements with and, or, and not
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Organize information in a Venn diagram
Lesson 11-12
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Find the volume of prisms, cylinders, and spheres
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Find the surface area of a cylinder
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Find and interpret the ratio of a cylinder’s surface area to its volume
Lesson 13
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Recognize the characteristics of rational numbers
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Use notation for repeating decimals
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Solve equations containing rational numbers
Lesson 14 Review
Lesson 15-16
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Use the counting principle to count numbers of choices
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Find the number of permutations of a group of objects
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Find numbers of combinations
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Use the counting principle to determine the probability of an event
Lesson 17-18
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Find a perpendicular bisector of a chord
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Find experimental probabilities
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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
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Identify irrational numbers
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Simplify square roots, cube roots, and fourth roots
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Simplify radical expressions
Lesson 24-25
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Multiply and divide powers using properties of exponents
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Simplify powers with zero and negative exponents
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Represent small numbers in scientific notation and in decimal notation
Lesson 26 Review
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Create nets for pyramids and prisms
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Bisect an angle using a compass
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Compare triangles using two sides and the included angle
Lesson 27-28
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Identify and find the measures of pairs of angles formed by intersecting lines
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Explore relationships between perimeters and area of two similar figures
Lesson 29
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Use tables and graphs to model changes in data
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Use tables, graphs, and equations to represent functions
Lesson 30 Review
Lesson 31
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Write an equation to model compound interest
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Model price changes and growth of a savings account
Lesson 32-33
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Use algorithms to transform geometric shapes
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Reflect geometric shapes
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Predict the shape of a parabola
Lesson 34-35
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Recognize quadratic equations
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Simplify quadratic expressions
Lesson 36 Review
Lesson 37-38
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Multiply and divide powers using properties of exponents
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Simplify powers with zero and negative exponents
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Represent small numbers in scientific notation and in decimal notation
Lesson 39-40
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Find the distance between points on a coordinate grid
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Find the midpoint of a segment on a coordinate grid
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Use tangent ratio to find unknown side lengths in right triangles
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Use sine and cosine ratios to find unknown side lengths in right triangles
Lesson 41 Review & Non-routine Questions
Lesson 42 Review & Test