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Chapter 1 Journals
Systems of Equations (see handout – respond to questions)
Matrices (see handout – respond to questions)
Inverse matrix method
a. Define identity, determinant and inverse of a 2 by 2 matrix
b. What is ‘special’ about the inverse of a matrix?
c. Solve a 2 by 2 system by the inverse matrix method showing
your steps – with explanation
Solve a system of three equations in 3 unknowns
a. Algebraically
b. Inverse matrix method using technology (TI-83+)
c. Solve a word problem that gives 3 equations in 3 unknowns
indicating the steps you go through (your thinking as well as
your work)
Find the quadratic equation (y = ax2 + bx + c) that models a real world
situation by solving a system of equations
Chapter 3 Journals
Outcome (use this as the title)
1. Distinguish between sinusoidal and
periodic relationships and
relationships which are neither
sinusoidal not periodic.
2. Sinusoidal functions: y = sinx and
y= cosx
3. Using transformations to graph
sinusoidal functions.
Details (the least you can do)
Explain in words and give examples
Define period, amplitude and
sinusoidal axis
Graph each function.
Give the table of key ordered
pairs.
Give the period, amplitude,
sinusoidal axis, maximums,
minimums.
How are they different?
How are they the same?
Give at least 3 examples. You
should include one example of each
function (y = sinx and y = cosx).
Your examples should cover all
possible transformations (vt, vs, Rx,
4. Given a graph of a sinusoidal
function, determine its equation.
5. Given a real world situation (word
problem), determine a sinusoidal
model
ht and hs)
Give at least two examples and
write each function in terms of
both y = sinx and
y = cosx.
Give one example in which you must
interpret the problem to create
ordered pairs/graph and then write
the equation and answer a question
based on that equation.
Be sure:
 Your pages are numbered
 You have an updated Table of Contents
 You include “notes to self” or “thought clouds” to explain the steps in
words and a style that are meaningful for you
 Your examples show levels of difficulty
 Your examples include clearly worded questions/instructions
Chapter 4 Journals (use the underlined terms as your titles)
1. Radicals
 What is a radical? Two rules for simplifying radicals.
 Examples and notes to show how to add, subtract, multiply and divide
radicals.
 Rationalizing denominators
2. Unit circle – Show the complete circle. What do the components of the
ordered pairs mean? Explain coterminal angles and related angles.
3. Using the unit circle to simplify trigonometric expressions
4. Solving trigonometric equations. Show worked examples that demonstrate
the following types of problems.
 From the graph (using k to write an expression for all solutions)
 Algebraically:
o If the angle is between 0º and 360º
o For all values of the variable
o Using the unit circle
o Using the inverse trig function on the calculator
5. Proving trigonometric identities
 List the eight key identities.
 What are the strategies and format for proving identities?
 Examples – with notes describing your steps
6. Radian measure
 What is a radian?
 Convert from radians to degrees and degrees to radians
7. Application of trig equations – word problems in which you must solve for
the independent variable (x)
Chapter 6 Journals
1. Right angled trig – SohCahToa
2.Law of Sines - show worked examples of each of the following:
 To find a side
 To find an angle
 Applications (word problems)
3. Law of Cosines – show worked examples of
 To find a side
 To find an angle
 Applications (word problems)
4. Area formulas
 Area  12 base  height
 Area  12 ab sin C
 Applications (word problems)