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 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
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
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
Graphs of rat (simple rat with h.a. y = 0 or y = c)( va with degree even or odd and significance)
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
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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Log
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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)
Logistic models
Compound angles
Consolidation day
Test Cycle 6: Trig solving, trig identities, with formulas