## Scope and Sequence

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Question / UnitDayLessonNotes and Other Points for DiscussionExpectations IncludedLinks to ResourcesRow Colour
• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
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• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
00000
• getting to know each other
• establishing classroom norms
• review of prerequisite skills
• ideally no homework assignedA1, A2, AA1SAMPLE PROBLEMS
BHNmath RESOURCES
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How do these compare?OngoingTell a Story: Number Concept• can be moved elsewhereB1.1TOPIC IDEAS11111
How do these compare?1Representing 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 do these compare?2Adding 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 RESOURCES11111
How do these compare?3Multiplying 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 RESOURCES11111
How do these compare?4Algebraic Expressions
• evaluating algebraic expressions at given values
• modelling with algebraic expressions
• history of algebra (Babylonians, "al-jabr", Muhammad ibn Mūsā al-Khwārizmī)C1.2, C1.5BHNmath RESOURCES11111
How do these compare?5Volume 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 RESOURCES11111
How do these compare?6Adding and Subtracting Monomials (Collecting Like Terms)
• simplifying algebraic expressions
• collecting like terms
C1.2, C1.3, C1.4BHNmath RESOURCES11111
How do these compare?7One-Step Equations
• solving one-step equations without fraction coefficients
• collecting like terms
C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES11111
How do these compare?8The 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.)
B1.2BHNmath RESOURCES11111
How do these compare?9Infinity, 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)
• history of ∞ (Anaximander, Euclid, Cantor, etc.)
• Fibonacci Sequence and the Golden Ratio
B1.2, B1.3BHNmath RESOURCES11111
How do these compare?10Making Connections / Review / AssessmentExpectations covered throughout unit11111
How do these compare?11Making Connections / Review / AssessmentExpectations covered throughout unit11111
How are things changing?OngoingTell a Story: Algebraic Concept• can be moved elsewhereC1.1TOPIC IDEAS22222
How are things changing?1Talking About Change
• dependent and independent variables
• describing rates of change from graphs
C3.1, C3.3, C4.1BHNmath RESOURCES22222
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 RESOURCES22222
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 RESOURCES22222
How are things changing?4Connecting Representations
• equations of the form y=start+rate*x
• linear and non-linear relations
B3.3, B3.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES22222
How are things changing?5Adding and Subtracting Polynomials
C1.2, C1.4BHNmath RESOURCES22222
How are things changing?6Two-Step Equations
• solving two-step equations without fraction coefficients
• collecting like terms
B3.3, B3.5, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES22222
How are things changing?7Problem 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 RESOURCES22222
How are things changing?8Making Connections / Review / AssessmentExpectations covered throughout unit22222
How are things changing?9Making Connections / Review / AssessmentExpectations covered throughout unit22222
How can we describe the space around us?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 RESOURCES33333
How can we describe the space around us?2Slope
• definition of slope
• slope as rate of change
B3.3, B3.4, B3.5, C3.1, C4.1,BHNmath RESOURCES33333
How can we describe the space around us?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 RESOURCES33333
How can we describe the space around us?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 RESOURCES33333
How can we describe the space around us?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 RESOURCES33333
How can we describe the space around us?6Measurement Calculations
• perimeter, area, surface area and volume
B3.5, E1.3, E1.4, E1.6BHNmath RESOURCES33333
How can we describe the space around us?7Sides 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 RESOURCES33333
How can we describe the space around us?8Geometric Relationships in Design
• properties of triangles
• properties of circles
E1.2, E1.5BHNmath RESOURCES33333
How can we describe the space around us?9Making Connections / Review / AssessmentExpectations covered throughout unit33333
How can we describe the space around us?10Making Connections / Review / AssessmentExpectations covered throughout unit33333
How much is that?1Powers 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 RESOURCES44444
How much is that?2Multiplying and Dividing Powers with the Same Base
• multiplying and dividing powers with the same base
• simplifying algebraic expressions
B2.2BHNmath RESOURCES44444
How much is that?3Powers of Powers, Products and Quotients
• powers of powers, products and quotients
• simplifying algebraic expressions
B2.2BHNmath RESOURCES44444
How much is that?4Multiplying 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 RESOURCES44444
How much is that?5Equations 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 much is that?6Coding 1C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
44444
How much is that?7Coding 2C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
44444
How much is that?8Making Connections / Review / AssessmentExpectations covered throughout unit44444
How much is that?9Making Connections / Review / AssessmentExpectations covered throughout unit44444
Scaling and splitting: How much now?OngoingTell a Story: Geometric Concept or Measurement System• can be moved elsewhereE1.1TOPIC IDEAS55555
Scaling and splitting: How much now?1Effects 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 RESOURCES55555
Scaling and splitting: How much now?2Multiplying 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
Scaling and splitting: How much now?3Equations 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
Scaling and splitting: How much now?4Proportions and Percentages
• solving problems involving proportions and percentages
• using and comparing different measurement systems (imperial, metric, etc.)
• converting within a measurement system and between measurement systems
B3.5, E1.355555
Scaling and splitting: How much now?5Rates and Proportional Relationships
• solving problems involving rates and proportional relationships
• conditions for a linear relation to be proportional
B3.5, C3.1, C3.2, C3.3, C4.1, C4.4BHNmath RESOURCES55555
Scaling and splitting: How much now?6Coding 3C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
55555
Scaling and splitting: How much now?7Making Connections / Review / AssessmentExpectations covered throughout unit55555
Scaling and splitting: How much now?8Making Connections / Review / AssessmentExpectations covered throughout unit55555
When are different operations useful?1Equations of Lines in Other Forms
• lines of the form x+y=k x-y=k, ax+by=k
• graphing lines using intercepts
• rearranging equations into the form y=mx+b
C3.1, C3.2, C4.1, C4.2, C4.466666
When are different operations useful?2Equations vs. InequalitiesC3.1, C3.2, C4.1, C4.2, C4.466666
When are different operations useful?3Reflections and Translations of y=ax
C3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.466666
When are different operations useful?4Rotations of y=ax
• parallel and perpendicular slopes
C3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.466666
When are different operations useful?5Graphing Relations of the Form xy=kC4.266666
When are different operations useful?6Coding 4C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
66666
When are different operations useful?7Making Connections / Review / AssessmentExpectations covered throughout unit66666
When are different operations useful?8Making Connections / Review / AssessmentExpectations covered throughout unit66666
How can we make predictions and decide?1Making Financial Decisions
• factors to consider
F1.1HPEDSB FINANCIAL STRAND UNIT77777
How can we make predictions and decide?2Appreciation and DepreciationF1.2HPEDSB FINANCIAL STRAND UNIT77777
How can we make predictions and decide?3InterestF1.2, F1.3HPEDSB FINANCIAL STRAND UNIT77777
How can we make predictions and decide?4BudgetF1.4HPEDSB FINANCIAL STRAND UNIT77777
How can we make predictions and decide?5Coding 5C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
77777
How can we make predictions and decide?6Making Connections / Review / AssessmentExpectations covered throughout unit77777
How can we make predictions and decide?7Making Connections / Review / AssessmentExpectations covered throughout unit77777
What's the story?1Data and Modelling
• working with large amounts of data (context, challlenges, resources, etc.)
• value of mathematical modelling
D1.1, D2.1BHNmath RESOURCES88888
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?7Coding 6C2.1, C2.2, C2.3VIDEO SERIES
REFERENCE GUIDE
88888
What's the story?8Making Connections / Review / AssessmentExpectations covered throughout unit88888
What's the story?9Making Connections / Review / AssessmentExpectations covered throughout unit88888