Course plan

This course plan is always being revised.  The activities are grouped in cycles.  At the end of each cycle is a one or two day evaluation. By the end of the course, each of the main ideas and strands in the course will have been studied and evaluated at least twice before the summative period. Please see this overview of the structure of the cycles.

The activities listed below vary in type and length.  Some may take two or three days.  Some require students to work at their desks with manipulatives while others are done at the whiteboard.  Any activities which seem worksheet driven are actually done at the whiteboards. At the end of most classes students have 10 minutes to journal.  The daily work is posted on a class blog or padlet.  The textbook used is Nelson Advanced Functions, 2009.  

We also lag the homework so they get to practice the concepts over several days.  Here is a course plan we have used which shows how the lagged homework is organized.   

The course plan below shows how we organized the cycles recently and has links to activities and lessons.  As of May 2016 we are still updating the links and the expectation grid.  You can find more links at Spiralling in MHF4U website which is the former version of our course.  We have referenced links which we borrowed from open sites.  

Examples of student work for many of the activities can be found at http://mhf4uoverwijk.blogspot.ca/

We welcome your feedback and ideas at janice.bernstein@ocdsb.ca and lynn.pacarynuk@ocdsb.ca.

Cycle

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Activity

 Building community activity 1: Card stacking and Get to know your peers & teacher

 Building community activity 2: Hands of a clock

 

 Representations Review Activity

Characteristics of graphs and Speed Dating with graphs

 Radian Plates

 Radian Wars card set & Trig Ratios

 Reciprocals of functions

 Cubic polynomials and manipulatives  

 Solving polynomials in factored form, graphing from factored form (end behavior), Find a value for equations

 Transformations with brainstorm of transformations

Student function chart, input/output chart, ledger paper

 Light It Up

 Marble Rolls and Rates of change

 Graphs to use for rates of change

 Test Cycle 1: Polynomials/Rational Functions; Trigonometry; RoC

 Dominoes, logarithmic form and 

co-creating criteria for good questions

 Intro to log fxns and notation  

 Log transformations 

 Trig transformations

Special triangles, exact values and simple trig equations

 Solving problems in context from the graph: trig, logs, exponents, AROC (lynn)

 Log Wars card set to play the classic game of War 

 Trig card games for practicing

 Test Cycle 2: Logs/Exponents, trig

 Dividing Polynomials ( Area model)

Connection to blocks

 Factoring and remainder theorem

 Solving poly eqns, relate to graphs.

Given graph – create equation

 Camping Costs

 Graphs of  rat (simple rat with h.a. y = 0 or y = c)( va with degree even or odd and significance)

 nth Diff=an! & Painted Cube

 exp/log graph to and from equation

 Solve exp eqn with common bases

 exp equation solving

 Solving log eqns with log lawsSolving Exp & Log equations

Solving simple log and exponential equations (lynn)

 Consolidation day

 Test Cycle 3: Logs and Exponents/Trigonometry

 Equivalent Trig Expressions

 Combining Functions (with tanx) 

Matching Graph to Equations combined functions

 Compound angles & double angles

 Polynomial and Rational equations and graphs

 

Expectations

Characteristics of

Functions

 

 

 

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Rates of

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Exponential

 

 

 

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Polynomials

 

 

 

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Rational

 

 

 

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Trig

 

 

 

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 Tides and Trig modelling questions

 Trigonometric Solving

 Consolidation day

 Test Cycle 4: Poly/rat equation and inequality solving, Trig expressions, angle formulas and modelling

 

 Magnitude of earthquake activity; distance between planets (applications of logs)

 Logarithmic Applications , Zombies 

 Given a graph of a log function, determine equation

 Connect transformations and log laws, solve logarithmic equations

 Logistic Functions (and combine) vitamin C, Flu, Birds, Plague, Yeast)

 Polynomials - build equations using different properties, then solve equations

 Rational functions - graph anythingRational functions with OA and hole

 Composition of Functions (Spread on Bread)

 Consolidation

 Test Cycle 5: Applications, combined and composite functions, graph any poly/rat

 

 Trig Identities (work to play) - basic ones (Intro to trig identities)

 Trig identities

 Logistic models

 Solving Quad & Trig functions

 Solving trig equations

 Compound angles

 Consolidation day

 Test Cycle 6: Trig solving, trig identities, with formulas