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Click here for mid-year and final exam resources (all
classes)
Essential Questions For All Classes:
Functions
1. What are they?
2. Can I obtain
information from a graph? A table of
data? An equation?
3. What types of
real-life problems are modeled by each type of function?
4. What are the
rates of change of each type of function?
5. What determines
the characteristics of each graph?
Chapter 1
1. What does it
mean to solve an equation?
2. What does x
represent?
3. What is a
domain? Why do different situations
require different domains?
4. What are some
of the differences between a real-life solution and an algebraic solution?
5. How is math a
language? When is it more efficient than
words in expressing relationships?
Chapter 2
1. What are the
properties of real numbers?
2. Where do
“shortcuts” come from? (i.e. Why does the Distributive Property work?)
3. What is the
“hierarchy” or “classification” of numbers and why is it necessary?
4. Why is
division by zero “undefined”?
Chapter 3
1. When is it
more efficient to use an equation to model a real-life problem?
2. Can I re-organize
the given information in a problem in order to solve it? (draw a diagram, organize a
chart, list the “knowns” and “unknowns”, define a
variable or write a “let”statement)
3. What type of
equation has no solution? Infinitely
many solutions?
Chapter 4
1. What are the
properties of exponential expressions?
2. What does x
represent?
3. When is
solving a formula more efficient in solving a real-life problem?
4. When is it
more efficient to use an equation to model and solve a real-life problem?
5. Can I
re-organize the given information in a problem in order to solve it? (draw a diagram, organize a
chart, list the “knowns” and “unknowns”, define a
variable or write a “let”statement)
Chapter 8
1. What is slope?
2. What are other
terms which describe slope?
3. Can I
calculate slope given varying types of information? (2 points, a graph, a function, a word
problem)
4. Where could I
apply/use slope in the real world?
5. How can I
recognize a linear function?
Chapter 9
1. What is a
system of equations and how do you determine/define the solution to a system?
2. What are the
three methods for solving systems of equations?
3. How do I
choose the most efficient method?
4. Describe the
different types of solutions you can have to a system of equations and the
types of
equations that determine those solutions?
5. Can I
re-organize the given information in a problem in order to solve it using a
system of
equations? [draw
a diagram, organize a chart, list the “knowns” and “unknowns”, define a
variable(s) or write a “let”statement(s)]
Chapter 5
1. Do I know how
to check my factors?
2. Why is
factoring a useful algebraic technique?
3. Can I
re-organize the given information in a problem in order to solve it? (draw a diagram,
organize a chart, list the “knowns” and “unknowns”,
define a variable or write a “let”statement)
4. What are some
of the differences between a real-life solution and an algebraic solution?
Chapter 11
1. What is a
rational number? An irrational number? Can I give examples of each?
2. What is the
“hierarchy” or “classification” of numbers and why is it necessary?
3. Why is = |x|?
4. How can I use
the Pythagorean Theorem to model and solve real-life problems?
Chapter 12
1. What are the
different methods of solving quadratic equations?
2. How do I
choose the most efficient method of solution?
3. Why are there
usually two solutions to a quadratic equation?
4. What is the
graphical interpretation of the solutions to quadratics?
5. Where does the
quadratic formula come from?
Chapter 7
1. How can I use factoring to help solve
rational equations?
2. Is a proportion an equation? Why or Why not?
3. Why is division by zero undefined?
4. Am I comfortable
manipulating (rearranging) equations algebraically and do I understand the
properties that allow me to manipulate (rearrange) them?
5. Can I re-organize the given information in a
problem in order to solve it?
(draw a diagram, organize a
chart, list the “knowns” and “unknowns”, define a
variable or write a
“let”statement)
Chapter 10
1. Why is it
useful to graph the solutions to inequalities?
2. What types of
inequalities have no solution?
Infinitely many solutions?
3. When and why
do I switch the inequality symbol when solving algebraically?
4. How does
absolute value change the solutions to inequalities?
Examples and definitions of different number sets
Real Numbers – numbers that can be represented as
decimals
{1, 35 million, 2.34, π, 0,-7,√5, ½ , -1/3,
and so on}
Rational Numbers – numbers that can be represented as
fractions
{2/3, 1 9/10, -34/10, 239.6, 0.0004, 0, -5, 148.25,
0.333333…}
Irrational Numbers – numbers that can not be represented
as fractions
{π, √2, ℮, √5, -√7}
Integers – Any positive or negative number that does not include a
fraction or decimal and including zero
{ …-4,-3,-2,-1,0,1,2,3,4…}
Whole Numbers – any positive integer and including zero
{0,1,2,3,4...}
Counting/Natural Numbers – any positive integer
{1,2,3,4,5…..}