The Catalogue

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Course Codes

MTH1W1 - Grade 9 De-streamed
MPM2D1 - Grade 10 Academic
MCR3U1 - Grade 11 University Preparation
MHF4U1 - Grade 12 Advanced Functions
MCV4U1 - Grade 12 Calculus and Vectors
MCV4UP - Grade 12 AP Calculus AB and Vectors
MDM4U1 - Grade 12 Data Management

TopicGradeCourseResourcesAdditional Search Terms
36° and 72°... A Curious RelationshipAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club 36 72 degrees cos cosine 1/2 0.5 = - trigonometry soh cah toa sine cosine tangent primary trigonometric ratios opposite adjacent hypotenuse right angles triangles cos36° cos72° cos36 cos72 sides lengths thirtysix thirty-six thirty six seventytwo seventy-two seventy two
A Closer Look at Rate of Change9MTH1W1STUDENT TEACHERfinding rates from word descriptions
finding rates from tables of values
finding rates from graphs
comparing rates of linear and non-linear relations non
Absolute Value12MHF4U1STUDENT TEACHERvalues expressions inequalities equations with involving functions transformations transforming number lines graphs of the graphing distance from zero 0 the
ActivInspire Tips and TricksAllVarious CoursesVIDEOactive board activeboard activboard
Adding and Subtracting Fractions and Mixed Numbers9MTH1W1STUDENT TEACHERadding addition subtracting subtraction operations representing applications improper common denominator positive negative converting simplifying reduce reducing lowest terms
Adding and Subtracting Integers9MTH1W1STUDENT TEACHERreview of prerequisite skills addition subtraction
Adding and Subtracting Monomials (Collecting Like Terms)9MTH1W1STUDENT TEACHERcombining simplifying algebraic expressions addition subtraction equivalent equal
Adding and Subtracting Polynomials9MTH1W1STUDENT TEACHERadditions subtractions
Adding and Subtracting Proper Fractions9MTH1W1STUDENT TEACHERaddition subtraction common denominators review of prerequisite skills
Algebraic Expressions9MTH1W1STUDENT TEACHERsubstitution substitute evaluation evaluate model modelling modeling inequalities inequality on the number lines greater than and less than signs symbols then notations equations
Angle Relationships9MTH1W1STUDENT TEACHERparallel intersecting transversals z-pattern z patterns c-pattern c f-pattern f alternate corresponding interior angles polygons triangles rectangles quadrilaterals pentagons hexagons octagons exterior properties laws rules lines sum right supplementary complimentary complementary degrees geometry regular
Appreciation and Depreciation9MTH1W1STUDENT TEACHERlinear non-linear nonlinear personal finances financial literacy money appreciate vs. versus depreciate appreciating depreciating exchange rates values
Average and Instantaneous Rates of Change12MCV4U1STUDENT TEACHERsecants slopes tangents
Average and Instantaneous Rates of Change12MCV4UPSTUDENT TEACHERsecants slopes tangents
Average and Instantaneous Rates of Change12MHF4U1STUDENT TEACHERsecants slopes tangents
Average Rate of Change12MHF4U1STUDENT TEACHERaverage velocity versus instantaneous velocity
definition of average rate of change
average rate of change as the slopes of a secants lines
average rates of change
Box Plot Tool9 / 12Various CoursesTOOLplots utility tools triangles diagrams maker designer geogebra bhnmath boxplots
Budget9MTH1W1STUDENT TEACHERbudgeting budgetting budgets fixed variable essentials non-essentials nonessentials costs expenses expenditures managing money incomes maintaining fixed variable flexible discretionary non-discretionary nondiscretionary non gross net creating balancing balance personal finances your monthly financial literacy
Cartesian (Scalar) Equation of a Line12MCV4U1STUDENT TEACHERequations lines R2 2-space two scalars slope-y-Intercept (y=mx+b) equation of a line equations lines R2 2-space two normals lines R^2 r^2 normal vectors for a line axis
Cartesian (Scalar) Equation of a Line12MCV4UPSTUDENT TEACHERequations lines R2 2-space two scalars slope-y-Intercept (y=mx+b) equation of a line equations lines R2 2-space two normals lines R^2 r^2 normal vectors for a line axis
Cartesian (Scalar) Equation of a Plane12MCV4U1STUDENT TEACHERscalars equations planes normal vectors for normals
Cartesian (Scalar) Equation of a Plane12MCV4UPSTUDENT TEACHERscalars equations planes normal vectors for normals
Characteristics of Polynomial Functions12MHF4U1STUDENT TEACHERends behaviours behaviors of polynomial functions
zeros of polynomial x-intercepts xintercepts x intercepts functions
turning points of local maximum minimum maxima minima values polynomial functions
Check Your Understanding Resources9MTH1W1STUDENT TEACHERgrowing in mathematics book cyu documents docs grade nine 9 textbook
Circle ToolAllVarious CoursesTOOLutility tools maker designer geogebra bhnmath builder chords angles centres centers at the semicircle semi-circle semi circle ratios tangents right radius cyclic quadrilaterals theorems arcs subtended radii right a intersecting intersection of chords
Coding - Part 19MTH1W1STUDENT TEACHERPython code coding in with using computers programs defining variables define syntax assigning
calculating printing strings rounding values comments commands programming parameters
Coding - Part 29MTH1W1STUDENT TEACHERPython code coding in with using computers programs data types integers strings floats floating points numbers user enters entered inputted prompts input functions converting the math library module pi square roots programming commands
Coding - Part 39MTH1W1STUDENT TEACHERPython code coding in with using computers programs for while loops range function using programming commands constraints
Coding - Part 49MTH1W1STUDENT TEACHERPython code coding in with using computers programs for while loops range function using programming commands if else if...else elif statements conditions if...else if....else if...elif...else
Coding - Part 59MTH1W1STUDENT TEACHERPython code coding in with using computers programs for while loops range function using programming commands if else if...else statements conditions if...else if....else interest calculations calculating simple compound money finances linear exponential non linear non-linear nonlinear growth personal
Collatz Conjecture (3x+1 Problem)AllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club 421 4-2-1 loop 3x+1 3n+1
Combinations of Transformations11MCR3U1STUDENT TEACHERtransforming combining combine mixing 1 over x reciprocals transforming transforming square roots x radicals transforming y=1/x quadratics x squared x^2 functions y=x² vertical horizontal stretches compressions translations shifts reflections
Combinations of Transformations10MPM2D1STUDENT TEACHERtransforming parabolas quadratics y=x^2 x^2 x squared combining combine mixing horizontal stretches compressions translations shifts reflections
Combinations of Transformations on Sinusoidal Functions (Degrees)11MCR3U1STUDENT TEACHERsines cosines y=sinx y=cosx transforming waves combining combine mixing horizontal stretches compressions translations shifts reflections trig trigonometric curves waves
Combining Functions Using Operations12MHF4U1STUDENT TEACHERadding subtracting multiplying dividing breaking even break break-even analysis profit revenue costs price fixed variable
Combining the Rules of Differentiation12MCV4U1STUDENT TEACHERchain rules product power quotient constant multiple touch for derivatives all of combinations mixing big large combine
Combining the Rules of Differentiation12MCV4UPSTUDENT TEACHERchain rules product power quotient constant multiple touch for derivatives all of combinations mixing big large combine
Compass ToolAllVarious CoursesTOOLutility tools compass direction north east south west cardinal maker designer geogebra bhnmath builder
Compound Angle Formulas12MHF4U1STUDENT TEACHERaddition subtraction formulae trig trigonometric identity identities cosine sine tangent
Compound Interest11MCR3U1STUDENT TEACHERinterest amounts principals rates present values exponential growth geometric sequences series money finance financial mathematics personal borrowing of cost
Concavity and Inflection Points12MCV4U1STUDENT TEACHERof concave up upward downward down second derivatives y'' 2nd
Concavity and Inflection Points12MCV4UPSTUDENT TEACHERof concave up upward downward down second derivatives y'' 2nd
Conic SectionsAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club parabolas circles hyperbolas ellipses planes cones intersections
Connecting Representations9MTH1W1STUDENT TEACHERlinear non linear non-linear relations start rate aviation videos planes airplanes equations graphs words descriptions tables of values patterns relationships flight flying versus vs.
Cumulative Review for Exponential and Logarithmic Functions12MCV4UPSTUDENT TEACHERExponential and Logarithmic Functions Fundamental Concepts Limits and Derivatives of Exponential and Logarithmic Functions
Daily PuzzleAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club
Daily Warm-ups9MTH1W1TEACHERgrade eqao warm up ups warmups
Derivatives of Exponential Functions12MCV4U1STUDENT TEACHERy=e^x y=2^x y=3^x y=b^x y=a^x Euler's number (e) y=e^x
Derivatives of Exponential Functions12MCV4UPSTUDENT TEACHERy=e^x y=2^x y=3^x y=b^x y=a^x Euler's number (e) y=e^x
Derivatives of Inverse Trigonometric Functions12MCV4UPSTUDENT TEACHERdefinitions
Derivatives of Sine and Cosine Functions12MCV4U1STUDENT TEACHERtrig trigonometry trigonometric sines cosines sinusoidal functions y=sinx y=cosx
Derivatives of Trigonometric Functions12MCV4UPSTUDENT TEACHERtrig trigonometry sinusoidal y=sinx y=cosx trigonometric sines cosines sinusoidal
Dividing Polynomials12MHF4U1STUDENT TEACHERdividing polynomials using long divisions synthetic remainders quotients dividend divisors by with
Early Commuter ProblemAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club
Effects of Changing Dimensions9MTH1W1STUDENT TEACHERrectangles squares triangles parallelograms trapezoids circles prisms rectangular triangular spheres cylinders cubes cones pyramids square-based square based rectangle based rectangle-based triangle based triangle-based areas perimeters surface surfaces volumes measuring formulas formulae composites figures shapes scaling doubling tripling multiplying dividing scale circumferences lengths widths sides radius double triple quadruple quadrupling half halving radius radii radiuses
Enrichment Resources11MCR3U1STUDENT TEACHERparabola locus of points directrix focus as a loci locust
Enrichment Resources10MPM2D1STUDENT TEACHERparabola locus of points directrix focus as a loci locust
EQAO Formula Sheet9MTH1W1DOCUMENTeqao measurement formulas formulae pages sheets
EQAO Preparation and Information9MTH1W1STUDENT TEACHERpractice practise tests materials resources sample framework user guides instructions assessments getting ready testing
Equations of Lines in 2-Space12MCV4U1STUDENT TEACHERR2 direction vectors for lines R2 parametrics vectors for two
Equations of Lines in 2-Space12MCV4UPSTUDENT TEACHERR2 direction vectors for lines R2 parametrics vectors for two
Equations of Lines in 3-Space12MCV4U1STUDENT TEACHERR3 three vectors for symmetrics for symmetricals parametrics
Equations of Lines in 3-Space12MCV4UPSTUDENT TEACHERR3 three vectors for symmetrics for symmetricals parametrics
Equations of Lines Using Slope and a Point9MTH1W1STUDENT TEACHERhorizontals verticals lines parallels perpendiculars slopes rates points mx+b y=mx+b y = mx + b from on line the yintercepts y intercepts y-intercepts
Equations of Lines Using Two Points9MTH1W1STUDENT TEACHERhorizontals verticals lines parallels perpendiculars slopes rates points mx+b y=mx+b y = mx + b from on line the 2 yintercepts y intercepts y-intercepts
Equations of Planes12MCV4U1STUDENT TEACHERfor parametrics vectors
Equations of Planes12MCV4UPSTUDENT TEACHERfor parametrics vectors
Equations Versus Inequalities9MTH1W1STUDENT TEACHERgraphing linear lines equations functions inequality an greater than less intercepts x-intercepts x y-intercepts y graphs of y=k x=k y=mx+b x+y=k x-y=k ax+by=k
Estimating with Finite Sums12MCV4UPSTUDENT TEACHERarea under a curve the graph Rectangular Approximation Method (RAM)
Euler’s Polyhedron FormulaAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club tetrahedron cube octahedron dodecahedron icosahedron regular polyhedrons polyhedra Leonhard edges faces vertexes vertices 2
Evaluating Logarithms12MHF4U1STUDENT TEACHERlogs Composition of Exponential and Logarithmic Functions with the Same Bases Common 0 1 with radicals roots negatives numbers
Experimental Probability12MDM4U1STUDENT TEACHERrolling tossing dice die coins flipping trials lots of repeated large numbers law 8-sided 8 sided a
Exploring Operations with Functions12MHF4U1STUDENT TEACHERadding subtracting and multiplying
graphs graphing involving operations with functions
equations domains of sums differences and products of functions addition subtraction multiplication f+g f-g fg f(x)+g(x) f(x)-g(x) (f+g)(x) (f-g)(x) (fg)(x)
Factoring12MHF4U1TEACHERcommon factoring
quadratics polynomials differences of squares parabolas expressions trinomials factorization factorizing factorize
Factoring Polynomials12MHF4U1STUDENT TEACHERthe Remainder Theorem
the Factor Theorem
factoring polynomials
determining zeros zeroes of polynomial functions
sketching graphs of polynomial functions finding
Factoring Sums and Differences of Cubes12MHF4U1STUDENT TEACHERfactoring sums of cubes
factoring differences of cubes
functions involving sums and differences of cubes common polynomials
Fibonacci and Golden SpiralsAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club sequence numbers
Finding Angles of Right Triangles10MFM2P1STUDENT TEACHERdegrees trigonometry soh cah toa sine cosine tangent primary trigonometric ratios opposite adjacent hypotenuse right angles triangles cos36° cos72° cos36 cos72 sides lengths sohcahtoa in
Finding Side Lengths of Right Triangles10MFM2P1STUDENT TEACHERdegrees trigonometry soh cah toa sine cosine tangent primary trigonometric ratios opposite adjacent hypotenuse right angles triangles cos36° cos72° cos36 cos72 sides lengths sohcahtoa
Flying with Math9MTH1W1VIDEOflight flying aviation planes airplanes airports linear relations lines applications triangles angles properties equations speed altitude solving
Fraction ToolAllVarious CoursesTOOLutility tools fractions diagrams visual representations pie chart circle models rectangles linear lines tape measure tapemeasure maker designer geogebra bhnmath
Function EvaluatorAllVarious CoursesTOOLfunctions substitute substitution tables of values maker creator builder evaluate tools
Functions, Domain and Range12MHF4U1STUDENT TEACHERnotation sets domains ranges characteristics and properties of
Geometric Vectors12MCV4U1STUDENT TEACHERequal opposite
Geometric Vectors12MCV4UPSTUDENT TEACHERequal opposite
Goldbach ConjectureAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club primes sum of evens numbers
Golden Ratio and RectangleAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club phi
Graph ToolAllVarious CoursesTOOLgraphing utility tools graphs grapher maker designer geogebra bhnmath
Graphs of Reciprocal Functions12MHF4U1STUDENT TEACHERproperties of reciprocal functions
sketching graphs of reciprocal functions one 1 over a function asymptotes end behaviour behavior reciprocals
HexaflexagonsAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club flexagon flexagons hexaflexagon Martin Gardner origami paper folding making building how to make build a geometry hexagons math craft stem activity activities art mathematics trihexaflexagons hexahexaflexagons
Hundred ChartAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club primes numbers perfect odds evens composites multiples patterns hundreds
Hundred Chart ToolAllVarious CoursesTOOLutility tools hundreds diagrams maker designer geogebra bhnmath
Infinity, Limits and Density9MTH1W1STUDENT TEACHERsets subsets infinite property reals naturals wholes rationals irrationals systems number the of a
Instantaneous Rate of Change12MHF4U1STUDENT TEACHERiroc rates tangents secants slope limits difference quotients average tables
Interest and Borrowing9MTH1W1STUDENT TEACHERsimple compound compounding down payments comparing vs. versus rates personal finances financial literacy exponential linear non-linear nonlinear non growth loans types of annuity annuities loans money effects
Intersection of a Line and a Plane12MCV4U1STUDENT TEACHERlines planes R3 three 3-space R^3 intersections
Intersection of a Line and a Plane12MCV4UPSTUDENT TEACHERlines planes R3 three 3-space R^3 intersections
Intersection of Lines12MCV4U1STUDENT TEACHERR2 two R3 three 2-space 3-space R^2 R^3 intersections
Intersection of Lines12MCV4UPSTUDENT TEACHERR2 two R3 three 2-space 3-space R^2 R^3 intersections
Intersection of Three Planes12MCV4U1STUDENT TEACHER3 intersections intersecting
Intersection of Three Planes12MCV4UPSTUDENT TEACHER3 intersections intersecting
Intersection of Two Planes12MCV4U1STUDENT TEACHER2 intersections intersecting
Intersection of Two Planes12MCV4UPSTUDENT TEACHER2 intersections intersecting
Introduction to Polynomial Functions12MHF4U1STUDENT TEACHERdefinition of a polynomial expressions
degree of a polynomial expression
leading coefficients of a polynomial expression
names and shapes of polynomial functions
properties for describing polynomial functions
finite differences of polynomial functions
Introduction to Rates of Change | Part 112MHF4U1STUDENT TEACHERdistance versus displacement
speed versus velocity
distance-time graphs
displacement-time graphs
constant rates of change
increasing decreasing
calculating
comparing slope rise over run time dt d-t
Introduction to Rates of Change | Part 212MHF4U1STUDENT TEACHERdisplacement-time graphs versus velocity-time graphs displacement time dt d-t vt v-t
Inverse Relations12MHF4U1STUDENT TEACHERreflections in the line y=x
inverse function notation
equations
graphs inverses
Large Amounts of Data9MTH1W1STUDENT TEACHERplanets image imaging taking pictures photos lots of planetary large amounts working with value Saturn Jupiter astronomy astrophotography photography big data bigdata storage storing lots of real world realworld real-world Tesla machine learning machine-learning biometrics
Linear Inequalities12MHF4U1STUDENT TEACHERinequality Involving Absolute Value double
Mastering Factoring10 / 11 / 12Various CoursesPAGEbinomials common difference differences expressions factor factoring factorisation factorization interactive of practice quadratic quadratics squares trinomials simple complex
Math at Work | Airline PilotAllVarious CoursesVIDEOmeasurements conversions units
percentages aviation planes airplanes flight flying 737ng Boeing pilot airlines
rates and proportions Ashley
vectors components resolve resolution resolving @ math@work careers professions jobs Sunwing jets fuels aeroplanes descending descent crosswind cross wind headwinds real-life real life applications real-world real world
Math at Work | Music Producer/EngineerAllVarious CoursesVIDEO@ math@work careers professions jobs graphical representations
non-linear nonlinear non linear relations
exponential growth decay
periodic functions waves
large amounts of data sine sin cosine cos sound sounds physics of acoustics studios recording fundamentals harmonics overtones graphical representations graphs real-life real life applications real-world real world guitars instruments microphones singing musicians Steven ryan Porchlight porch light
Measurement Calculations in Three Dimensions9MTH1W1STUDENT TEACHERrectangles squares triangles parallelograms trapezoids circles prisms rectangular triangular spheres cylinders cubes cones pyramids square-based square based rectangle based rectangle-based triangle based triangle-based areas perimeters surface surfaces volumes measuring formulas formulae composites figures shapes circumferences
Measurement Calculations in Two Dimensions9MTH1W1STUDENT TEACHERrectangles squares triangles parallelograms trapezoids circles areas perimeters surface surfaces measuring formulas formulae composites figures shapes circumferences
Modelling with Trigonometric Functions12MHF4U1STUDENT TEACHERmodeling Ferris Wheel tides
MTH1W1 Scope and Sequence by Question9MTH1W1PAGElong-range plans long range
Multiplying a Vector by a Scalar12MCV4U1STUDENT TEACHERmultiplications vectors scalars linear combinations of vectors scalar multiples
Multiplying a Vector by a Scalar12MCV4UPSTUDENT TEACHERmultiplications vectors scalars linear combinations of vectors scalar multiples
Multiplying and Dividing Fractions and Mixed Numbers9MTH1W1STUDENT TEACHERmultiplying multiplication dividing division operations exponents powers order of operations bedmas representing applications improper positive negative converting simplifying reduce reducing lowest terms hanging pictures artwork paintings walls on area models rectangles using with
Multiplying and Dividing Integers9MTH1W1STUDENT TEACHERreview of prerequisite skills multiplication division
Multiplying and Dividing Monomials9MTH1W1STUDENT TEACHERlaws of exponents
Multiplying and Dividing Powers with the Same Base9MTH1W1STUDENT TEACHERlaws of exponents
Multiplying and Dividing Proper Fractions9MTH1W1STUDENT TEACHERmultiplication division review of prerequisite skills area models rectangles using with
Multiplying Polynomials by Monomials (The Distributive Property)9MTH1W1STUDENT TEACHERfoil expanding expansion and simplify distribution distribute area models rectangles using with
Mutilated Chessboard ProblemAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club dominoes perfect cover
Newton's Method for Approximating Zeros of Functions12MCV4UPSTUDENT TEACHERNewtons
Optimization Problems Involving the Chain Rule12MCV4U1STUDENT TEACHERmax min maximum minimum values minima maxima maximize maximizing minimize minimizing island minimizing cost part 3 Minimum Distance Between Two Cars Minimum Distance from a Points to a Curves graphs functions
Optimization Problems Involving the Chain Rule12MCV4UPSTUDENT TEACHERmax min maximum minimum values minima maxima maximize maximizing minimize minimizing island minimizing cost part 3 Minimum Distance Between Two Cars Minimum Distance from a Points to a Curves graphs functions
Order of Operations (BEDMAS) Involving Integers9MTH1W1STUDENT TEACHERadding subtracting brackets exponents multiplying dividing addition subtraction multiplication division
review of prerequisite skills positives negatives
Order of Operations (BEDMAS) with Positive Numbers9MTH1W1STUDENT TEACHERreview of prerequisite skills adding subtracting brackets exponents multiplying dividing addition subtraction multiplication division whole
Parametric Equations12MCV4UPSTUDENT TEACHERgraphing relations
Perfect NumbersAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club
Pi (π)AllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club approximation approximating estimated limit Archimedes estimation of
Piecewise Functions12MHF4U1STUDENT TEACHERgraphs equations modelling
continuity domain restricting restrictions modeling audio compression compressors music studio recording sound
Platonic SolidsAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club tetrahedron cube octahedron dodecahedron icosahedron regular polyhedrons polyhedra
Polynomial Equations12MHF4U1STUDENT TEACHERsolving polynomial equations
solving problems involving polynomial equations factoring polynomials word problems cubics quartics quadratics quintics open topped box top open-top open-topped
Polynomial Functions in Factored Form12MHF4U1STUDENT TEACHERzeros zeroes equations of polynomial functions in factored form
zeros of polynomial functions
sketching graphs of polynomial functions
determining equations of polynomial functions
order of factors of a polynomials function
families of polynomial functions
Polynomial Inequalities12MHF4U1STUDENT TEACHERgreater than less than equal to solve solving positive negative functions graphing problems involving
Powers9MTH1W1STUDENT TEACHERpositive numbers exponents review of prerequisite skills
Powers and Scientific Notation9MTH1W1STUDENT TEACHERlarge tiny huge very small numbers negative exponents simplifying and evaluating numerical expressions involving with zero patterns patterning definition of meaning
Powers of Powers, Products and Quotients9MTH1W1STUDENT TEACHERlaws of exponents
Primary Trigonometric Functions12MHF4U1STUDENT TEACHERThe Tangent Function (y=tanx) The Sine Function (y=sinx) The Cosine Function (y=cosx) sketching graphs of the sine, cosine and tangent functions using radian measure
characteristics of the sine, cosine and tangent functions properties sin cos tan graphing
Prime numbersAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club
Problem Solving with Linear Relations9MTH1W1STUDENT TEACHERpoints of intersections lines solving for independent variables two 2 breaking even break break-even analysis profit revenue costs price fixed variable
Properties of Functions12MHF4U1STUDENT TEACHERdescribing functions
domain and range
intervals of increase and decrease
absolute extreme values
local extreme values
continuity
symmetry
end behaviours behaviors maximum maxima minimum minima even odd discontinuity continuous discontinuous characteristics
Properties of Vectors12MCV4U1STUDENT TEACHERproperty for laws The Associative Law of Vector Addition for property adding scalar multiplication multiplying by a scalars foil foiling commutative distributive
Properties of Vectors12MCV4UPSTUDENT TEACHERproperty for laws The Associative Law of Vector Addition for property adding scalar multiplication multiplying by a scalars foil foiling commutative distributive
Proportional Relationships and Conversions9MTH1W1STUDENT TEACHERratios rates proportions solve solving linear relations cross multiplying multiplication convert converting imperial to metric measurements systems measuring equivalent problems
Pythagorean TheoremAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club 3d areas volumes triangles right Pythagoras proofs
Python Resources9MTH1W1TEACHERadditional downloading running installing Python software where to get introducing lists and the random library working with quick reference videos documents Python code coding in with using computers programs for while loops range function using programming commands if else if...else statements conditions if...else if....else crossword puzzles
Radian Measure12MHF4U1STUDENT TEACHERradians measures angles definition meaning definition of radian measure of an angle
conversions involving degrees and radians
angular velocity
solving problems involving radian measure of angles converting from radians to degrees rotations revolutions
Rate of Change at Extreme Points12MHF4U1STUDENT TEACHERinstantaneous rate of change at local maximum and minimum points
tangent slope at local maximum and minimum points
using secant slopes to verify local maximum and minimum points turning points maxima minimum extrema extremes tangents slope 0 zero flat secants horizontals
Rates and Percentages9MTH1W1STUDENT TEACHERhundreds frames proportions solving ratios in the car direct partial variations unit better best deal buy find the financial decision making percents increase markup ratios tax discounts taxes hst financial decisions making personal finance money shopping purchases
Rates of Change of Polynomial Functions12MHF4U1STUDENT TEACHERaverage and instantaneous rates of change of polynomial functions
secant and tangent slopes of polynomial functions
Rational Exponents11MCR3U1STUDENT TEACHERpowers fractions roots cube square radicals rules laws evaluating decimals
Rational Functions12MHF4U1STUDENT TEACHERdomain holes finding in of rational functions
x and y intercepts x-intercepts y-intercepts x– and y-intercepts of rational functions
vertical, horizontal, and linear oblique asymptotes of rational functions
positive/negative intervals of rational functions
sketching graphs of rational functions
Reciprocal Trigonometric Functions12MHF4U1STUDENT TEACHERsketching the graphs of the secant, cosecant and cotangent functions
characteristics of the secant, cosecant and cotangent functions y=cscx csc cscx y=secx sec secx y=cotx cot cotx graphs of sketching drawing exploring 1 one over sine sinx cosine cosx tangent tanx reciprocals
Relations of the Form xy=k9MTH1W1STUDENT TEACHERequations inequality inequalities graphing graphs x*y = k y 1/x k/x products reciprocals asymptotes
Representing and Comparing Fractions and Mixed Numbers9MTH1W1STUDENT TEACHERsimplifying reducing simplest form improper proper unit positive negative converting applications reduce lowest terms
Riemann HypothesisAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club zeta function zeros zeroes of the complex critical strip Bernhard
Right Triangle Trigonometry11MCR3U1STUDENT TEACHERdegrees trigonometry soh cah toa sine cosine tangent primary trigonometric ratios opposite adjacent hypotenuse right angles triangles cos36° cos72° cos36 cos72 sides lengths sohcahtoa in
Right Triangle Trigonometry10MPM2D1STUDENT TEACHERdegrees trigonometry soh cah toa sine cosine tangent primary trigonometric ratios opposite adjacent hypotenuse right angles triangles cos36° cos72° cos36 cos72 sides lengths sohcahtoa in
Rotations of Lines9MTH1W1STUDENT TEACHERrotate rotating parallels and perpendiculars slopes angles transformations transforming
Sample Problems for Non-Curricular Problem-Solving TasksAllVarious CoursesDOCUMENTsamples noncurricular non-curriculum noncurriculum good problem solving
Scatter Plots and Mathematical Modelling9MTH1W1STUDENT TEACHERscatterplots lines of best fit regressions models linear quadratic cubic quartic exponential growth outliers correlation coefficients interpolation extrapolation interpolate extrapolate interpolating extrapolating curves analysis multivariable multi variable multiple variables two 2 two-variable 2-variablestrong moderate weak positive negative parabolas
Sides of Right Triangles9MTH1W1STUDENT TEACHERthe Pythagorean Theorem side-length relationships 90 degree hypotenuse Pythagoras Pythagoras' Pythagoras's length side squares of composites figures shapes proofs
Sieve of EratosthenesAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club primes numbers finding locating
Similar Triangles10MPM2D1STUDENT TEACHERratios proportions angles sides lengths areas scales scaled scaling similarity shapes figures trigonometry
Similar Triangles10MFM2P1STUDENT TEACHERratios proportions angles sides lengths areas scales scaled scaling similarity shapes figures trigonometry
Simple Interest11MCR3U1STUDENT TEACHERinterest amounts principals rates present values linear growth arithmetic sequences series money finance financial personal mathematics borrowing of cost
Single-Variable Data9MTH1W1STUDENT TEACHERdata one-variable one analysis analyzer single variable single-variable modified right-skewed shapes left-skewed left right skewed uniform bell-shaped bellshaped bell shaped normal distributions bimodal mean median mode central tendency spread measures of quartiles interquartile range boxplots box-plots box plots and whiskers box-and-whisker-plots box-and-whisker plots bar graphs circle pie charts pie-charts piecharts histograms management 1-variable 1
Slope9MTH1W1STUDENT TEACHERrise over run rates of change lines slopes a
Solids of Revolution12MCV4UPSTUDENT TEACHERsurfaces rotations integrals definite
Solving by Graphing (Linear Systems)10MFM2P1STUDENT TEACHER2 two unknowns in with systems of solving linear equations intersection break even breaking break-even profit costs price variable fixed revenue analysis substitution elimination
Solving by Graphing (Linear Systems)10MPM2D1STUDENT TEACHER2 two unknowns in with systems of solving linear equations intersection break even breaking break-even profit costs price variable fixed revenue analysis substitution elimination
Solving Equations Involving Fractions and/or Distribution9MTH1W1STUDENT TEACHERfractional using with coefficients solve distributive property solving using with foil expanding expansion and simplify distribute
Solving Equations with Variables on Both Sides9MTH1W1STUDENT TEACHERlinear solve multi-step letters left and right
Solving One-Step Equations9MTH1W1STUDENT TEACHERlinear solve solve 1-step single-step single 1 step
Solving Two-Step Equations9MTH1W1STUDENT TEACHERlinear solve 2-step 2 step multi step multi-step multiple steps
Spiraling the Curriculum | An IntroductionAllVarious CoursesVIDEOspiralling spiraled spiralled
Talking About Change9MTH1W1STUDENT TEACHERdependent independent variables
Tell a Story: Algebraic Concept - Topic Ideas9MTH1W1TEACHERresearch project history list cultures contexts mini assignment concepts stories of math mathematics
Tell a Story: Geometric Concept or Measurement System - Topic Ideas9MTH1W1TEACHERresearch project history list cultures contexts mini assignment numbers concepts stories of math mathematics
Tell a Story: Number Concept - Topic Ideas9MTH1W1TEACHERresearch project history list cultures contexts mini assignment stories of math mathematics
The Ambiguous Case of the Sine Law11MCR3U1STUDENT TEACHERlaws of sines triangles trigonometry cosines ass airspace aviation planes airplanes flying flight cosines controlled
The Cosine Law10MPM2D1STUDENT TEACHERlaw of cosines triangles trigonometry
The Limit of a Function12MCV4U1STUDENT TEACHERdefinition of the limit of a functions
one-sided limits
two-sided limits
limits that fail to exist
evaluating limits infinite infinity approaching approaches as
The Limit of a Function12MCV4UPSTUDENT TEACHERdefinition of the limit of a functions
one-sided limits
two-sided limits
limits that fail to exist
evaluating limits infinite infinity approaching approaches as
The Numbers We Use: Sets and Subsets9MTH1W1STUDENT TEACHERreals numbers integers whole rationals system irrationals notation set theory
The Second Derivative Test12MCV4U1STUDENT TEACHERtests derivatives 2nd y'' double prime
The Second Derivative Test12MCV4UPSTUDENT TEACHERtests derivatives 2nd y'' double prime
The Sine Law10MPM2D1STUDENT TEACHERlaws of sines triangles trigonometry
The Sine Law and the Cosine Law11MCR3U1STUDENT TEACHERlaws of sines triangles trigonometry cosines
The Sum of n·n!AllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club factorials finite sums sigma notation proof n n! times x n(n!) k(k!) product series
The Tetris Rectangle ProblemAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club video games proofs mathematical thinking tasks non curricular non-curricular noncurricular problem solving problem-solving geometry prove proving
Thinking Beyond Problems - Answers9MTH1W1TEACHERfurther questions solutions
Tools for TeachersAllVarious CoursesTOOLS
Transformations Across Function Types12MHF4U1STUDENT TEACHERtranslations shifts reflections horizontal vertical stretching stretches compressing compressions shrinks translating functions shifting quadratics radicals roots parabolas 1/x reciprocal exponential lines linear trigonometric sine cosine sinusoidal
Transformations of Exponential Functions11MCR3U1STUDENT TEACHERtransforming
Transformations of Trigonometric Functions12MHF4U1STUDENT TEACHERtransforming sine sin cosine cos periodic waves vertical horizontal shifts stretches compressions translations reflections
Transformations of y=x³ and y=x⁴12MHF4U1STUDENT TEACHERapplying combinations of transformations to the graphs of y=x³ and y=x⁴ y=x^4 y=x^3 verticals horizontals shifts translations stretchers compressions shrinks reflections stretching stretches compressing compressions shrinks translating functions shifting cubics quartics quartics graphing
Translations and Reflections of Lines9MTH1W1STUDENT TEACHERtranslate translations shifts vertical horizontal linear functions translating reflections reflecting x-axis x axis axes in the y-axis y axis over across transformations transforming
Trapezoidal Rule12MCV4UPSTUDENT TEACHERareas under a the curves approximation approximate
Triangle and Circle Geometry9MTH1W1STUDENT TEACHERin design circles triangles properties of property medians lines orthocenters perpendicular bisectors altitudes orthocentres circumcenters orthocenters centroids circumcircles circumcentres circumcenters Euler line lines Eulers Euler's chords angles centres centers at the semicircle semi-circle semi circle ratios tangents right radius cyclic quadrilaterals theorems arcs subtended radii right a intersecting intersection of chords
Triangle Geometry10MPM2D1STUDENT TEACHERtriangles medians lines orthocenters perpendicular bisectors altitudes orthocentres circumcenters orthocenters centroids circumcircles circumcentres circumcenters Euler line lines Eulers Euler's
Triangle ToolAllVarious CoursesTOOLutility tools triangles diagrams maker designer geogebra bhnmath
Trig Tool11 / 12Various CoursesTOOLterminal arms utility trigonometry trigonometric diagram maker geogebra bhnmath designer tools
Trigonometric Ratios with Radian Measure12MHF4U1STUDENT TEACHERprimary and reciprocal trigonometric ratios
using radian mode on a calculator
special triangles using radian measure
the related acute angle of an angle
finding exact values of trigonometric ratios sine sin cosine cos tangent tan csc cosecant secant sec cotangent cot
Trio MakerAllVarious CoursesTOOLutility tools designer geogebra bhnmath builder thinking classrooms groups three 3
Twin Prime ConjectureAllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club numbers sexy cousins primes
Unit Review for "How are things changing?"9MTH1W1STUDENT TEACHERpractice tests practise
Unit Review for "How can we make it simpler?"9MTH1W1STUDENT TEACHERpractice tests practise
Unit Review for "How can we represent it?"9MTH1W1STUDENT TEACHERpractice tests practise
Unit Review for "How much is that?"9MTH1W1STUDENT TEACHERpractice tests practise
Unit Review for "When are different operations useful?"9MTH1W1STUDENT TEACHERpractice tests practise
Unit Review for Characteristics and Properties of Functions12MHF4U1STUDENT TEACHERproperty practice tests practise
Unit Review for Coordinate Geometry10MPM2D1STUDENT TEACHERcoordinates lines segments medians perpendicular bisectors circles altitudes triangles lengths midpoints slopes equations of properties
Unit Review for Derivatives12MCV4U1STUDENT TEACHERpractice practise tests problems
Unit Review for Differential Equations and L'Hôpital's Rule12MCV4UPSTUDENT TEACHER
Unit Review for Exponential and Logarithmic Functions12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review for Introduction to Calculus12MCV4U1STUDENT TEACHERpractice practise tests problems
Unit Review for Introduction to Vectors12MCV4U1STUDENT TEACHER
Unit Review for Introduction to Vectors12MCV4UPSTUDENT TEACHER
Unit Review for Polynomial Equations and Inequalities12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review for Polynomial Functions12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review for Rates of Change12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review for Rational Functions12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review for The Definite Integral12MCV4UPSTUDENT TEACHER
Unit Review for Trigonometric Equations and Identities12MHF4U1STUDENT TEACHERtrigonometry practice tests practise
Unit Review for Trigonometric Functions12MHF4U1STUDENT TEACHERpractice tests practise
Unit Review Part 1 for "How can we describe it?"9MTH1W1STUDENT TEACHERpractice tests practise
Vector Addition12MCV4U1STUDENT TEACHERsums adding vectors resultants triangle parallelogram law of
Vector Addition12MCV4UPSTUDENT TEACHERsums adding vectors resultants triangle parallelogram law of
Vector Subtraction12MCV4U1STUDENT TEACHERsubtracting vectors tail-to-tail method differences subtractions adding the opposite
Vector Subtraction12MCV4UPSTUDENT TEACHERsubtracting vectors tail-to-tail method differences subtractions adding the opposite
Velocity as a Vector12MCV4U1STUDENT TEACHERapplications velocities currents winds ground speeds groundspeed resultants planes airplanes aircrafts boats jets Using Vectors to Represent Velocity airspeeds flying to Niagara falls flights aviation heading direction in a math drama
Velocity as a Vector12MCV4UPSTUDENT TEACHERapplications velocities currents winds ground speeds groundspeed resultants planes airplanes aircrafts boats jets airspeeds flying to Niagara falls flights aviation Using Vectors to Represent Velocity heading direction in a math drama
Vertex Form Equation of a Quadratic Relation10MPM2D1STUDENT TEACHERequation equations parabolas
Volume Relationships9MTH1W1STUDENT TEACHERthird triple volumes cones cylinders prisms rectangular pyramids rectangle triangular triangle comparing compare compared to hexagonal pentagonal
Welcome, Parents!AllVarious CoursesVIDEO
What is a Linear Relation?9MTH1W1STUDENT TEACHERcharacteristics of linear relations relationships
making tables of values from word descriptions
making graphs from word descriptions
linear relations in real life first differences versus vs. non-linear nonlinear
What’s special about 7 & 8?AllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club primes cubes numbers
What’s special about 69?AllVarious Courses / ExtracurricularRESOURCESaftermath after math extra curricular extra-curricular math club digits sum squares cubes numbers
Working with Ordered Pairs9MTH1W1STUDENT TEACHERbattleship battle ship fly on the ceiling point Descartes Rene game Cartesian planes coordinates co-ordinates
y = mx + b Form for the Equation of a Line9MTH1W1STUDENT TEACHERintersections lines slopes intercepts yintercepts y-intercepts y intercepts equations of lines mx+b y=mx+b horizontals

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