Scope and Sequence
Mathematics, Grade 9
MTH1W1 (Grade 9 De-streamed)
NOTE
The following table is best viewed using landscape orientation on a phone or a maximized browser window.
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 / Unit | Day | Lesson | Notes and Other Points for Discussion | Expectations Included | Links to Resources | Row Colour |
---|---|---|---|---|---|---|
Welcome to MTH1W1 | 1 | Non-Curricular Math Tasks • getting to know each other • establishing classroom norms • review of prerequisite skills | • ideally no homework assigned | A1, A2, AA1 | 00000 | |
Welcome to MTH1W1 | 2 | Non-Curricular Math Tasks • getting to know each other • establishing classroom norms • review of prerequisite skills | • ideally no homework assigned | A1, A2, AA1 | 00000 | |
Welcome to MTH1W1 | 3 | Non-Curricular Math Tasks • getting to know each other • establishing classroom norms • review of prerequisite skills | • ideally no homework assigned | A1, A2, AA1 | 00000 | |
How do these compare? | Ongoing | Tell a Story: Number Concept | • can be moved elsewhere | B1.1 | 11111 | |
How do these compare? | 1 | Representing 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, E1.3 | 11111 | |
How do these compare? | 2 | Adding and Subtracting Fractions and Mixed Numbers • adding and subtracting fractions and mixed numbers | • possible discussion of calculator's fraction button | B3.2, B3.3, B3.4, E1.3 | 11111 | |
How do these compare? | 3 | Multiplying 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 button | B3.2, B3.3, B3.4, E1.3 | 11111 | |
How do these compare? | 4 | Algebraic Expressions • evaluating algebraic expressions at given values • modelling with algebraic expressions | • history of algebra (Babylonians, "al-jabr", Muhammad ibn Mūsā al-Khwārizmī) | C1.2, C1.5 | 11111 | |
How do these compare? | 5 | Volume 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, E1.6 | 11111 | ||
How do these compare? | 6 | Adding and Subtracting Monomials (Collecting Like Terms) • simplifying algebraic expressions • collecting like terms | C1.2, C1.3, C1.4 | 11111 | ||
How do these compare? | 7 | One-Step Equations • solving one-step equations without fraction coefficients • collecting like terms | C1.2, C1.3, C1.4, C1.5 | 11111 | ||
How do these compare? | 8 | The 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 | B1.2 | 11111 | |
How do these compare? | 9 | Infinity, 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, B1.3 | 11111 | |
How do these compare? | 10 | Making Connections / Review / Assessment | Expectations covered throughout unit | 11111 | ||
How do these compare? | 11 | Making Connections / Review / Assessment | Expectations covered throughout unit | 11111 | ||
How are things changing? | Ongoing | Tell a Story: Algebraic Concept | • can be moved elsewhere | C1.1 | 22222 | |
How are things changing? | 1 | Talking About Change • dependent and independent variables • describing rates of change from graphs | C3.1, C3.3, C4.1 | 22222 | ||
How are things changing? | 2 | What 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, F1.2 | 22222 | ||
How are things changing? | 3 | A 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, C4.1 | 22222 | ||
How are things changing? | 4 | Connecting 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, C4.4 | 22222 | ||
How are things changing? | 5 | Adding and Subtracting Polynomials • adding and subtracting polynomials | C1.2, C1.4 | 22222 | ||
How are things changing? | 6 | Two-Step Equations • solving two-step equations without fraction coefficients • collecting like terms | B3.3, B3.5, C1.2, C1.3, C1.4, C1.5 | 22222 | ||
How are things changing? | 7 | Problem 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, C4.4 | 22222 | ||
How are things changing? | 8 | Making Connections / Review / Assessment | Expectations covered throughout unit | 22222 | ||
How are things changing? | 9 | Making Connections / Review / Assessment | Expectations covered throughout unit | 22222 | ||
How can we describe the space around us? | 1 | Working 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 C4.1 | 33333 | |
How can we describe the space around us? | 2 | Slope • definition of slope • slope as rate of change | B3.3, B3.4, B3.5, C3.1, C4.1, | 33333 | ||
How can we describe the space around us? | 3 | y = 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, C4.4 | 33333 | ||
How can we describe the space around us? | 4 | Equations 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 form | B3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.4 | 33333 | |
How can we describe the space around us? | 5 | Equations of Lines Using Two Points • finding the equation of a line using two points on the line | • y=mx + b form | B3.3, B3.4, B3.5, C3.1, C3.2, C3.3, C4.1, C4.2, C4.4 | 33333 | |
How can we describe the space around us? | 6 | Measurement Calculations • perimeter, area, surface area and volume | B3.5, E1.3, E1.4, E1.6 | 33333 | ||
How can we describe the space around us? | 7 | Sides 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, | 33333 | |
How can we describe the space around us? | 8 | Geometric Relationships in Design • properties of triangles • properties of circles | E1.2, E1.5 | 33333 | ||
How can we describe the space around us? | 9 | Making Connections / Review / Assessment | Expectations covered throughout unit | 33333 | ||
How can we describe the space around us? | 10 | Making Connections / Review / Assessment | Expectations covered throughout unit | 33333 | ||
How much is that? | 1 | Powers 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 | B2.1 | 44444 | ||
How much is that? | 2 | Multiplying and Dividing Powers with the Same Base • multiplying and dividing powers with the same base • simplifying algebraic expressions | B2.2 | 44444 | ||
How much is that? | 3 | Powers of Powers, Products and Quotients • powers of powers, products and quotients • simplifying algebraic expressions | B2.2 | 44444 | ||
How much is that? | 4 | Multiplying 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, E1.3 | 44444 | ||
How much is that? | 5 | Equations with Variables on Both Sides • solving equations that have variables on both sides | B3.3, C1.2, C1.3, C1.4, C1.5 | 44444 | ||
How much is that? | 6 | Coding 1 | C2.1, C2.2, C2.3 | 44444 | ||
How much is that? | 7 | Coding 2 | C2.1, C2.2, C2.3 | 44444 | ||
How much is that? | 8 | Making Connections / Review / Assessment | Expectations covered throughout unit | 44444 | ||
How much is that? | 9 | Making Connections / Review / Assessment | Expectations covered throughout unit | 44444 | ||
Scaling and splitting: How much now? | Ongoing | Tell a Story: Geometric Concept or Measurement System | • can be moved elsewhere | E1.1 | 55555 | |
Scaling and splitting: How much now? | 1 | Effects of Changing Dimensions • effect of changing one or more dimensions on perimeter/circumference, area, surface area, and volume | B3.5, E1.3, E1.4, E1.6 | 55555 | ||
Scaling and splitting: How much now? | 2 | Multiplying Polynomials by Monomials (The Distributive Property) • multiplying polynomials by monomials (the distributive property) • simplifying algebraic expressions | B2.2, C1.2, C1.3, C1.4 | 55555 | ||
Scaling and splitting: How much now? | 3 | 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, C1.5 | 55555 | ||
Scaling and splitting: How much now? | 4 | Proportions 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, E1.3 | 55555 | ||
Scaling and splitting: How much now? | 5 | Rates 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, C4.4 | 55555 | ||
Scaling and splitting: How much now? | 6 | Coding 3 | C2.1, C2.2, C2.3 | 55555 | ||
Scaling and splitting: How much now? | 7 | Making Connections / Review / Assessment | Expectations covered throughout unit | 55555 | ||
Scaling and splitting: How much now? | 8 | Making Connections / Review / Assessment | Expectations covered throughout unit | 55555 | ||
When are different operations useful? | 1 | Equations 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, C4.4 | 66666 | ||
When are different operations useful? | 2 | Equations vs. Inequalities | C3.1, C3.2, C4.1, C4.2, C4.4 | 66666 | ||
When are different operations useful? | 3 | Reflections and Translations of y=ax | C3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.4 | 66666 | ||
When are different operations useful? | 4 | Rotations of y=ax • parallel and perpendicular slopes | C3.1, C3.2, C3.3, C4.1, C4.2, C4.3, C4.4 | 66666 | ||
When are different operations useful? | 5 | Graphing Relations of the Form xy=k | C4.2 | 66666 | ||
When are different operations useful? | 6 | Coding 4 | C2.1, C2.2, C2.3 | 66666 | ||
When are different operations useful? | 7 | Making Connections / Review / Assessment | Expectations covered throughout unit | 66666 | ||
When are different operations useful? | 8 | Making Connections / Review / Assessment | Expectations covered throughout unit | 66666 | ||
How can we make predictions and decide? | 1 | Making Financial Decisions • factors to consider | F1.1 | 77777 | ||
How can we make predictions and decide? | 2 | Appreciation and Depreciation | F1.2 | 77777 | ||
How can we make predictions and decide? | 3 | Interest | F1.2, F1.3 | 77777 | ||
How can we make predictions and decide? | 4 | Budget | F1.4 | 77777 | ||
How can we make predictions and decide? | 5 | Coding 5 | C2.1, C2.2, C2.3 | 77777 | ||
How can we make predictions and decide? | 6 | Making Connections / Review / Assessment | Expectations covered throughout unit | 77777 | ||
How can we make predictions and decide? | 7 | Making Connections / Review / Assessment | Expectations covered throughout unit | 77777 | ||
What's the story? | 1 | Data and Modelling • working with large amounts of data (context, challlenges, resources, etc.) • value of mathematical modelling | D1.1, D2.1 | 88888 | ||
What's the story? | 2 | Single-Variable Data | D1.2 | 88888 | ||
What's the story? | 3 | Scatter Plots and Correlation 1 • using technology • regression models | C3.1, C4.1, D1.3 | 88888 | ||
What's the story? | 4 | Scatter Plots and Correlation 2 • using technology • regression models | C3.1, C4.1, D1.3 | 88888 | ||
What's the story? | 5 | Collecting and Analysing Data 1 | • project for assessment? | C3.1, C4.1, D1.3, D2.2, D2.3, D2.4, D2.5 | 88888 | |
What's the story? | 6 | Collecting and Analysing Data 2 | • project for assessment? | C3.1, C4.1, D1.3, D2.2, D2.3, D2.4, D2.5 | 88888 | |
What's the story? | 7 | Coding 6 | C2.1, C2.2, C2.3 | 88888 | ||
What's the story? | 8 | Making Connections / Review / Assessment | Expectations covered throughout unit | 88888 | ||
What's the story? | 9 | Making Connections / Review / Assessment | Expectations covered throughout unit | 88888 |