Scope and Sequence

Mathematics, Grade 9
MTH1W1 (Grade 9 De-streamed)

NOTE
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Instructions

Use the search field to filter the content of the table.

For example, to find all occurences of specific expectation C1.2, type c1.2 in the search field. For overall expectation B1, type b1.

To view the available resources for a topic, click the corresponding link in the rightmost column.

Question / UnitDayLessonNotes and Other Points for DiscussionExpectations IncludedLinks to ResourcesRow Colour
Welcome to MTH1W11Non-Curricular Math Tasks
• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
00000
Welcome to MTH1W12Non-Curricular Math Tasks
• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
00000
Welcome to MTH1W13Non-Curricular Math Tasks
• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
00000
How can we represent it?OngoingTell a Story: Number Concept• can be moved elsewhereB1.1TOPIC IDEAS11111
How can we represent it?1The Numbers We Use: Sets and Subsets
• sets and subsets
• set notation
• review of the real number system
• origin of Hindu-Arabic numeral system and introduction of 0 (Brahmagupta)
• complex number system
• other number systems (binary, hexadecimal, etc.)
• Russell's Paradox
B1.2BHNmath RESOURCES11111
How can we represent it?2Representing and Comparing Fractions and Mixed Numbers
• representing fractions and mixed numbers
• comparing fractions and mixed numbers
• positive and negative fractions and mixed numbers
• relating unit fractions to other fractions
• converting between improper fractions and mixed numbers
• simplifying fractions
• use visual representations throughout lesson
• history of negatives (Chinese counting rods, Brahmagupta, etc.)
B3.2, B3.3, B3.4, E1.3BHNmath RESOURCES11111
How can we represent it?3Powers and Scientific Notation
• simplifying and evaluating numerical expressions involving powers
• relationship between the sign and size of an exponent and the value of a power
• definition of scientific notation
• switching between standard notation and scientific notation
• applications of scientific notation
• using patterning
B2.1BHNmath RESOURCES11111
How can we represent it?4Algebraic Expressions
• evaluating algebraic expressions at given values
• modelling with algebraic expressions
• algebraic expressions in equations
• inequalities on the number line (extension)
• history of algebra (Babylonians, "al-jabr", Muhammad ibn Mūsā al-Khwārizmī)C1.2, C1.5BHNmath RESOURCES11111
How can we represent it?5Coding - Part 1
• defining variables
• assigning values
• calculating values
• printing variables and strings
• rounding values
• using comments
• using programs to solve problems
C2.1, C2.2, C2.3BHNmath RESOURCES11111
How can we represent it?6Infinity, Limits and Density
• infinite sets and subsets
• patterns and number relationships to explain density, infinity and limits
• BEWARE - these concepts can quickly become very complicated (but also very interesting)
• keep lesson/discussions focused on big ideas
• no need to get too carried away with definitions, details and notation here
density property can be omitted entirely (it is not needed to address the concept of density)
• Zeno's Paradox
• history of ∞ (Anaximander, Euclid, Cantor, etc.)
• Fibonacci Sequence and the Golden Ratio
B1.2, B1.3BHNmath RESOURCES11111
How can we represent it?7Making Connections / Review / AssessmentExpectations covered throughout unit11111
How can we represent it?8Making Connections / Review / AssessmentExpectations covered throughout unit11111
When are different operations useful?1Adding and Subtracting Fractions and Mixed Numbers
• adding and subtracting fractions and mixed numbers
• possible discussion of calculator's fraction buttonB3.2, B3.3, B3.4, E1.3BHNmath RESOURCES22222
When are different operations useful?2Multiplying and Dividing Fractions and Mixed Numbers
• multiplying and dividing fractions and mixed numbers
• powers of fractions and mixed numbers
• order of operations involving fractions and mixed numbers
• possible discussion of calculator's fraction buttonB3.2, B3.3, B3.4, E1.3BHNmath RESOURCES22222
When are different operations useful?3Adding and Subtracting Monomials (Collecting Like Terms)
• simplifying algebraic expressions
• collecting like terms
C1.2, C1.3, C1.4BHNmath RESOURCES22222
When are different operations useful?4Adding and Subtracting Polynomials
• adding and subtracting polynomials
C1.2, C1.4BHNmath RESOURCES22222
When are different operations useful?5Solving One-Step Equations
• solving one-step equations without fraction coefficients
• collecting like terms
C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES22222
When are different operations useful?7Coding - Part 2
• data types (integer, floating point number and string)
• user prompts
• math library (for pi and square root)
C2.1, C2.2, C2.3BHNmath RESOURCES22222
When are different operations useful?8Making Connections / Review / AssessmentExpectations covered throughout unit22222
When are different operations useful?9Making Connections / Review / AssessmentExpectations covered throughout unit22222
How are things changing?1Talking About Change
• dependent and independent variables
• describing rates of change from graphs
C3.1, C3.3, C4.1BHNmath RESOURCES33333
How are things changing?2What is a Linear Relation?
• characteristics of linear relations
• comparing graphs of linear and non-linear relations
• making tables of values from word descriptions
• making graphs from word descriptions
• linear and non-linear relations in real life
B3.3, B3.5, C3.2, C3.3, C4.1, F1.2BHNmath RESOURCES33333
How are things changing?3A Closer Look at Rate of Change
• finding rates from word descriptions
• finding rates from tables of values
• finding rates from graphs
• comparing rates of linear and non-linear relations
B3.3, B3.5, C3.1, C3.2, C3.3, C4.1BHNmath RESOURCES33333
How are things changing?4Connecting Representations
• equations of the form y=start+rate*x
• linear and non-linear relations
B3.3, B3.5, C1.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES33333
How are things changing?5Solving Two-Step Equations
• solving two-step equations without fraction coefficients
• collecting like terms
B3.3, B3.5, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES33333
How are things changing?6Problem Solving with Linear Relations
• solving for the independent variable in the equation of a linear relation
• interpreting the point of intersection for two linear relations
B3.3, B3.5, C1.2, C1.3, C1.4, C1.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES33333
How are things changing?7Coding - Part 3
for loops
while loops
• may require two days in computer lab
for loops in Python using range() function with only a single parameter, such as range(10)
• good lesson for introducing comparison operators (>, <, >=, <=, == , !=)
C2.1, C2.2, C2.3BHNmath RESOURCES33333
How are things changing?8Making Connections / Review / AssessmentExpectations covered throughout unit33333
How are things changing?9Making Connections / Review / AssessmentExpectations covered throughout unit33333
How can we describe it?1Working with Ordered Pairs
• Cartesian plane and Cartesian coordinates
• coordinates to describe location
• determining if a point satisfies a given linear or non-linear relation
• meaning of ordered pairs in different contexts
• identifying points of intersection
• other systems for defining location (longitude/latitude, polar coordinates,etc.)
• map projections
B3.1, B3.5, C3.1, C3.2, C3.3 C4.1BHNmath RESOURCES44444
How can we describe it?2Slope
• definition of slope
• slope as rate of change
B3.3, B3.4, B3.5, C3.1, C4.1,BHNmath RESOURCES44444
How can we describe it?3y = mx + b Form for the Equation of a Line
• identifying slopes and y-intercepts of lines
• using slopes and y-intercepts to graph lines
• equations of lines using slopes and y-intercepts
B3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES44444
How can we describe it?4Equations of Lines Using Slope and a Point
• finding the equation of a line using its slope and a point on the line
• horizontal and vertical lines
y=mx + b formB3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.4BHNmath RESOURCES44444
How can we describe it?5Equations of Lines Using Two Points
• finding the equation of a line using two points on the line
y=mx + b formB3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.4BHNmath RESOURCES44444
How can we describe it?6Translations and Reflections of Lines
• translating lines
• reflecting lines
• mainly vertical translations and reflectionsC3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.4BHNmath RESOURCES44444
How can we describe it?7Rotations of Lines
• rotating lines
• parallel and perpendicular lines
C3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.4BHNmath RESOURCES44444
How can we describe it?8Equations Versus Inequalities
• graphing linear equations and inequalities from algebraic representations of various forms
• graphing lines using intercepts
• lines with equations of the form y=k, x=k, y=mx+b, x+y=k, x-y=k, ax+by=kC3.1, C3.2, C4.1, C4.2, C4.4BHNmath RESOURCES44444
How can we describe it?9Solving Equations with Variables on Both Sides
• solving equations that have variables on both sides
B3.3, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES44444
How can we describe it?10Making Connections / Review / AssessmentExpectations covered throughout unit44444
How can we describe it?11Making Connections / Review / AssessmentExpectations covered throughout unit44444
How can we make it simpler?OngoingTell a Story: Algebraic Concept• can be moved elsewhereC1.1TOPIC IDEAS55555
How can we make it simpler?1Multiplying and Dividing Powers with the Same Base
• multiplying and dividing powers with the same base
• simplifying algebraic expressions
B2.2BHNmath RESOURCES55555
How can we make it simpler?2Powers of Powers, Products and Quotients
• powers of powers, products and quotients
• simplifying algebraic expressions
B2.2BHNmath RESOURCES55555
How can we make it simpler?3Multiplying and Dividing Monomials
• multiplying and dividing monomials
• laws of exponents
• simplifying algebraic expressions
• converting area and volume measurements
B2.2, C1.2, C1.3, C1.4, C1.5, E1.3BHNmath RESOURCES55555
How can we make it simpler?4Multiplying Polynomials by Monomials (The Distributive Property)
• multiplying polynomials by monomials (the distributive property)
• simplifying algebraic expressions
B2.2, C1.2, C1.3, C1.4BHNmath RESOURCES55555
How can we make it simpler?5Solving Equations Involving Fractions and/or Distribution
• solving equations involving fractions
• solving equations involving the distributive property
B3.3, B3.4, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES55555
How can we make it simpler?6Relations of the Form xy=k
• graphing relations of the form xy=k and their associated inequalities
• no need to dedicate much time to this topic (to be honest, I really don't know why it even shows up in this course)C4.2BHNmath RESOURCES55555
How can we make it simpler?7Making Connections / Review / AssessmentExpectations covered throughout unit55555
How can we make it simpler?8Making Connections / Review / AssessmentExpectations covered throughout unit55555
How much is that?OngoingTell a Story: Geometric Concept or Measurement System• can be moved elsewhereE1.1TOPIC IDEAS66666
How much is that?1Measurement Calculations in Two Dimensions
• perimeter/circumference and area
B3.5, E1.3, E1.4, E1.6BHNmath RESOURCES66666
How much is that?2Sides of Right Triangles
• side-length relationship for right triangles
• solving problems using the side-length relationship for right triangles
• origin of the “Pythagorean Theorem”
• Babylonian origin of "Pythagorean Theorem"E1.3, E1.5,BHNmath RESOURCES66666
How much is that?3Geometric Relationships
• properties of triangles
• properties of circles
• geometric relationships in design
E1.2, E1.5BHNmath RESOURCES66666
How much is that?4Volume Relationships
• review of meaning of volume
• calculating and comparing volumes
• relationship between volumes of prisms and pyramids
• relationship between volumes of cylinders and cones
B3.5, C1.5, E1.3, E1.4, E1.6BHNmath RESOURCES66666
How much is that?5Measurement Calculations in Three Dimensions
• volume, surface area, perimeter/circumference, and area
B3.5, E1.3, E1.4, E1.5, E1.6BHNmath RESOURCES66666
How much is that?6Effects of Changing Dimensions
• effect of changing one or more dimensions on perimeter/circumference, area, surface area, and volume
B3.5, E1.3, E1.4, E1.6BHNmath RESOURCES66666
How much is that?7Proportional Relationships and Conversions
• solving problems involving proportional relationships
• using and comparing different measurement systems (metric, imperial, etc.)
• converting within a measurement system and between measurement systems
• conditions for a linear relation to be proportional
B3.5, C3.1, C3.2, C3.3, C4.1, C4.4, E1.3BHNmath RESOURCES66666
How much is that?8Coding - Part 4
if statements
if…else statements
• nested if…else statements
if…else if…else statements
• may require two days in computer lab
• may need to discuss/review comparison operators (>, <, >=, <=, == , !=)
C2.1, C2.2, C2.3BHNmath RESOURCES66666
How much is that?9Making Connections / Review / AssessmentExpectations covered throughout unit66666
How much is that?10Making Connections / Review / AssessmentExpectations covered throughout unit66666
What's the cost?1BudgetF1.4HPEDSB FINANCIAL STRAND UNIT77777
What's the cost?2Rates and Percentages
• solving problems involving rates and percentages
• rates and percentages in financial decision making
B3.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES77777
What's the cost?3Making Financial Decisions
• factors to consider
F1.1HPEDSB FINANCIAL STRAND UNIT77777
What's the cost?4Appreciation and DepreciationF1.2HPEDSB FINANCIAL STRAND UNIT77777
What's the cost?5InterestF1.2, F1.3HPEDSB FINANCIAL STRAND UNIT77777
What's the cost?6Coding - Part 5C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
77777
What's the cost?7Making Connections / Review / AssessmentExpectations covered throughout unit77777
What's the cost?8Making Connections / Review / AssessmentExpectations covered throughout unit77777
What's the story?1Data and Modelling
• working with large amounts of data (context, challenges, resources, etc.)
• value of mathematical modelling
D1.1, D2.1BHNmath RESOURCES88888
What's the story?2Single-Variable DataD1.288888
What's the story?3Scatter Plots and Correlation 1
• using technology
• regression models
C3.1, C4.1, D1.388888
What's the story?4Scatter Plots and Correlation 2
• using technology
• regression models
C3.1, C4.1, D1.388888
What's the story?5Collecting and Analysing Data 1• project for assessment?C3.1, C4.1, D1.3, D2.2, D2.3, D2.4, D2.588888
What's the story?6Collecting and Analysing Data 2• project for assessment?C3.1, C4.1, D1.3, D2.2, D2.3, D2.4, D2.588888
What's the story?7Making Connections / Review / AssessmentExpectations covered throughout unit88888
What's the story?8Making Connections / Review / AssessmentExpectations covered throughout unit88888