MHF4U – Advanced Functions
Upcoming Evaluations:
Evaluation |
Topics |
Date |
Quiz |
Ration Expressions, Rational Equations, reciprocal of linear,
reciprocal of quadratics |
Oct 19 |
Unit Test #2 |
All of Unit 2 |
Fri Oct 26 |
Unit 2:
Rational Functions
Date |
Topic/Learning goals |
Daily Work/Assignments |
Thu Oct 4 |
Review of Rational Expressions We will review how to simplify rational expressions that require
multiplication, division, addition, and subtraction. To recall how to state restrictions of
rational expressions. |
Handouts: ·
Simplifying, Multiplying and Dividing R.E. (Click here for copy with
answers) ·
Untitled Handout… J (Click here for a
copy with answers) Extra Practice: Adding and Subtracting R.E. (Click here
for a copy) |
Fri Oct 5 |
Solving Rational Equations To use our knowledge of rational expressions and polynomial
equations to solve rational equations. |
Handout: Solving
Rational Equations – Word Problems Click here for a
copy! p. 183 #1, 2, 6, 9, 18 Click here
for extra practice |
Thu Oct 11 |
Reciprocals of Linear Functions We will learn how to graph functions that are reciprocals of
linear functions. To familiarize
ourselves with notation used to describe the behavior of a function. |
p. 153 #2 – 5, 7 – 10, 13, 15 |
Fri Oct 12 |
Reciprocals of Quadratic Functions – Day 1 We will investigate the behaviour of reciprocals of quadratic
functions. Click here for a
copy of the lesson! |
p. 164 #2, 4, 5ace (omit table), 7, 8adgh p. 166 #3, 9 – 14, 16, 17 |
Reciprocals of Quadratic Functions – Day 2 To practice our skills and summarize the behaviour of functions
that are reciprocals of quadratic functions. Discuss the slope table. Click here for a
copy of the lesson! |
||
Mon Oct 15 |
Linear over Linear Functions We will discover the properties of linear over linear functions,
including asymptotes. Click here
for a copy of the lesson! |
p. 174 #1 – 12, 14 |
Tue Oct 16 |
More Rational Functions To develop an algorithm for graphing rational functions. Determine the circumstances when a function has a point
discontinuity instead of a vertical asymptote at a particular x-value. Click here
for a copy of the lesson! |
p. 174 #16 p. 190 #4 and graph y = [(x – 5)(x – 2)] / (x^{2}
+2) |
Wed Oct 17 |
Oblique Asymptotes We will discover which functions will have an oblique asymptote
and learn how to determine the behaviour of the function near the asymptote. Click here for a copy of
the lesson |
p. 176 #17 – 19
(answer for 18 should be C) p. 190 #8 – 10 |
Thu Oct 18 |
Review of Graphing We will develop our skills with graphing rational functions. Quiz |
Handout: Review of
Graphing Rational Functions |
Fri Oct 19 |
Solving Rational Inequalities To extend our skills with solving inequalities to discover the
method for solving rational inequalities. |
Handout: p. 185 #4, 5, 7, 8, 10, 12, 13, 16 |
Tue Oct 23 |
Applications of Rational Functions/Rates of Change We will apply our knowledge of solving rational equations,
solving rational inequalities, and graphing rational functions, to solve
real-world problems. |
p. 189 #2, 3, 4,ace, 5, 7, 9, 10, 15 Click here
for extra rate of change problems! |
Wed Oct 24 |
Review – Day 1 |
Handout:
Rational Functions (Review) p. 192 #1 – 16 Click here for more
Rational Equations Word Problems!! |
Thu Oct 25 |
Review – Day 2 |
p. 192 #1 – 16 Click here for more
Rational Equations Word Problems!! |
Fri Oct 26 |
UNIT TEST #2 |
UNIT TEST #2 |