Scope and Sequence

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

NOTE
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Instructions

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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 do these compare?OngoingTell a Story: Number Concept• can be moved elsewhereB1.111111
How do these compare?1Working with Unit Fractions
• representing and comparing unit fractions
• comparing unit fractions to other fractions
• multiplication and division involving unit fractions
• addition and subtraction of unit fractions
• applications of unit fractions
• use visual representations throughout lessonB3.2, B3.4, E1.3BHNmath RESOURCES11111
How do these compare?2Working with Other Fractions and Mixed Numbers
• representing and comparing fractions and mixed numbers
• positive and negative fractions and mixed numbers
• simplifying fractions
• operations with fractions and mixed numbers
• applications of fractions and mixed numbers
• history of negatives (Chinese counting rods, Brahmagupta, etc.)B3.2, B3.3, B3.4, E1.3BHNmath RESOURCES11111
How do these compare?3Algebraic 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?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
• effect that changing dimensions has on volume
B3.5, C1.5, E1.3, E1.4, E1.6BHNmath RESOURCES11111
How do these compare?5Adding and Subtracting Monomials (Collecting Like Terms)
• simplifying algebraic expressions
• collecting like terms
C1.2, C1.3, C1.4BHNmath RESOURCES11111
How do these compare?6One-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?7The 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 do these compare?8Infinity, 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
• Zeno's Paradox
• history of ∞ (Anaximander, Euclid, Cantor, etc.)
• Fibonacci Sequence and the Golden Ratio
B1.2, B1.3BHNmath RESOURCES11111
How do these compare?9Making Connections / Review / AssessmentExpectations covered throughout unitBHNmath RESOURCES11111
How do these compare?10Making Connections / Review / AssessmentExpectations covered throughout unitBHNmath RESOURCES11111
How are things changing?OngoingTell a Story: Algebraic Concept• can be moved elsewhereC1.122222
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
• making tables of values from word descriptions
• making graphs from word descriptions
• 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 Equations, Tables and Graphs
• 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
• adding 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
B3.3, B3.5, C1.2, C1.3, C1.4, C1.5, C3.1, C3.2, C3.3, C4.1, C4.422222
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?1Cartesian Coordinates
• coordinates to describe location
• other systems for defining location (longitude/latitude, polar coordinates,etc.)
• map projections
B3.1BHNmath 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 LineB3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.433333
How can we describe the space around us?4Equations of Lines Using Slope and a Point
• y=mx + b form
• horizontal and vertical lines
B3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.433333
How can we describe the space around us?5Equations of Lines Using Two PointsB3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.433333
How can we describe the space around us?6Measurement Review
• concepts of perimeter, area, surface area and volume
E1.3, E1.633333
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?8Measurement Problem Solving
• composite shapes
E1.3, E1.5, E1.633333
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?1Comparing Powers
• using patterning
• relationships between size of exponent and value of power
• no zero or negative exponents here
B2.144444
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?5Scientific Notation
• definition of scientific notation
• switching between standard notation and scientific notation
• applications of scientific notation
• meaning of negative exponents through patterning
B2.1BHNmath RESOURCES44444
How much is that?6Measurement Systems
• using and comparing different measurement systems (imperial, metric, etc.)
• converting within a measurement system and between measurement systems
• Burmese system
• Myanmar and Liberia
B3.4, E1.344444
How much is that?7Equations 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?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 elsewhereE1.155555
Scaling and splitting: How much now?1Multiplying 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?2Equations Involving Distribution
• solving equations involving the distributive property
B3.3, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES55555
Scaling and splitting: How much now?3Effects of Changing Dimensions
• effect on perimeter, area, surface area, volume
B3.5, E1.3, E1.455555
Scaling and splitting: How much now?4Ratios, Proportions and PercentagesB3.555555
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?6Equations Involving Fractions
• solving equations involving fractions
B3.3, B3.4, C1.2, C1.3, C1.4, C1.5BHNmath RESOURCES55555
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?5Zero and Negative Exponents
• using patterning
B2.1, B2.266666
When are different operations useful?6Coding 1C2.1, C2.2, C2.366666
When are different operations useful?7Coding 2C2.1, C2.2, C2.366666
When are different operations useful?8Making Connections / Review / AssessmentExpectations covered throughout unit66666
When are different operations useful?9Making Connections / Review / AssessmentExpectations covered throughout unit66666
How can we make predictions and decide?1Intersection of Lines
• using graphs to find and interpret point of intersection
B3.3, B3.5, C3.1, C3.2, C3.3, C4.1, C4.277777
How can we make predictions and decide?2Linear Vs. Non-Linear (Graphs)
• comparing graphs and making predictions
• financial applications
C3.1, C4.1, D2.4, D2.5, F1.2, F1.377777
How can we make predictions and decide?3Linear Vs. Non-Linear (Tables and Equations)
• comparing tables/equations and making predictions
• financial applications
C3.1, C4.1, D2.4, D2.5, F1.2, F1.377777
How can we make predictions and decide?4Making Financial Decisions
• factors to consider
F1.177777
How can we make predictions and decide?5Appreciation and DepreciationF1.277777
How can we make predictions and decide?6InterestF1.2, F1.377777
How can we make predictions and decide?7BudgetF1.477777
How can we make predictions and decide?8Coding 3C2.1, C2.2, C2.377777
How can we make predictions and decide?9Making Connections / Review / AssessmentExpectations covered throughout unit77777
How can we make predictions and decide?10Making 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, D2.188888
What's the story?2Single-Variable DataD1.288888
What's the story?3Scatter Plots and Correlation 1
• using technology
• regression models
D1.388888
What's the story?4Scatter Plots and Correlation 2
• using technology
• regression models
D1.388888
What's the story?5Coding 4C2.1, C2.2, C2.388888
What's the story?6Collecting and Analysing Data 1• project for assessment?D2.2, D2.388888
What's the story?7Collecting and Analysing Data 2• project for assessment?D2.2, D2.388888
Is this statement true?1Graphing Relations of the Form xy=kC4.299999
Is this statement true?2Triangle PropertiesE1.2, E1.599999
Is this statement true?3Circle PropertiesE1.299999
Is this statement true?4Geometric Relationships in DesignE1.299999
Is this statement true?5Coding 5C2.1, C2.2, C2.399999
Is this statement true?6Making Connections / Review / AssessmentExpectations covered throughout unit99999
Is this statement true?7Making Connections / Review / AssessmentExpectations covered throughout unit99999