Transcript In the next slides you will review

Thinking Mathematically
A review and summary of Algebra 1
Topics from your final project assignment
sheet have been pasted into this very ordinary
slide show. You may begin with this file or you
may find it easier to create your own design
and style completely from scratch.
In the next slides you will review:
Solving 1st power equations in one variable
A. Don't forget special cases where variables cancel
to get {all reals} or
B.
Equations containing fractional coefficients
C. Equations with variables in the denominator –
remember to throw out answers that cause division by
zero
In the next slides you will review:
Review all the Properties and
then take a Quiz on identifying
the Property Names
Addition Property (of Equality)
Example:
If blah blah, then blah blah.
Multiplication Property (of Equality)
Example:
If blah blah, then blah blah.
Reflexive Property (of Equality)
Example:
If blah blah, then blah blah.
Symmetric Property (of Equality)
Example:
If blah blah, then blah blah.
Transitive Property (of Equality)
Example:
If blah blah, then blah blah.
Associative Property of Addition
Example:
If blah blah, then blah blah.
Associative Property of
Multiplication
Example:
If blah blah, then blah blah.
Commutative Property of Addition
Example:
If blah blah, then blah blah.
Commutative Property of
Multiplication
Example:
If blah blah, then blah blah.
Distributive Property (of
Multiplication over Addition
Example:
If blah blah, then blah blah.
Prop of Opposites or Inverse
Property of Addition
Example:
If blah blah, then blah blah.
Prop of Reciprocals or Inverse
Prop. of Multiplication
Example:
If blah blah, then blah blah.
Identity Property of Addition
Example:
If blah blah, then blah blah.
Identity Property of Multiplication
Example:
If blah blah, then blah blah.
Multiplicative Property of Zero
Example:
If blah blah, then blah blah.
Closure Property of Addition
Example:
If blah blah, then blah blah.
Closure Property of Multiplication
Example:
If blah blah, then blah blah.
Product of Powers Property
Example:
If blah blah, then blah blah.
Power of a Product Property
Example:
If blah blah, then blah blah.
Power of a Power Property
Example:
If blah blah, then blah blah.
Quotient of Powers Property
Example:
If blah blah, then blah blah.
Power of a Quotient Property
Example:
If blah blah, then blah blah.
Zero Power Property
Example:
If blah blah, then blah blah.
Negative Power Property
Example:
If blah blah, then blah blah.
Zero Product Property
Example:
If blah blah, then blah blah.
Product of Roots Property
Quotient of Roots Property
Root of a Power Property
Example:
If blah blah, then blah blah.
Power of a Root Property
Example:
If blah blah, then blah blah.
Now you will take a quiz!
Look at the sample problem and give
the name of the property illustrated.
Click when you’re ready to see the answer.
1. a + b = b + a
Answer:
Commutative Property (of Addition)
Now you will take a quiz!
Look at the sample problem and give
the name of the property illustrated.
Click when you’re ready to see the answer.
2. Blah blah (you can duplicate this slide)
Answer:
Blah Blah set to Fade-in
In the next slides you will review:
Solving 1st power inequalities in one
variable. (Don't forget the special
cases of {all reals} and )
A. With only one inequality sign
B. Conjunction
C. Disjunction
Type a sample problem here. Blah blah
blah. You can duplicate this slide.
Click when ready to see the answer.
Type the answer here. Set to fade-in on
click
Type any needed explanation or tips here.
Set to fade-in 3 seconds after the answer
appears above.
In the next slides you will review:
Linear equations in two variables
Lots to cover here: slopes of all
types of lines; equations of all types
of lines, standard/general form, pointslope form, how to graph, how to find
intercepts, how and when to use the
point-slope formula, etc. Remember
you can make lovely graphs in
Geometer's Sketchpad and copy and
paste them into PPT.
In the next slides you will review:
Linear Systems
A. Substitution Method
B. Addition/Subtraction
Method (Elimination )
C. Check for understanding of
the terms dependent,
inconsistent and consistent
In the next slides you will review:
Factoring – since we just
completed the Inspiration Project
on this topic, just summarize all
the factoring methods quickly.
Note that you will be using your
factoring methods in areas 7 & 8
below so no need to include
extra practice problems here.
In the next slides you will review:
Rational expressions – try to use
all your factoring methods
somewhere in these practice
problems
A. Simplify by factor and cancel
B. Addition and subtraction of
rational expressions
C. Multiplication and division of
rational expressions
In the next slides you will review:
Functions
A. What does f(x) mean? Are all
relations function?
B. Find the domain and range of a
function.
C. Given two ordered pairs of data,
find a linear function that contains those
points.
D. Quadratic functions – explain
everything we know about how to graph a
parabola
In the next slides you will review:
Simplifying expressions with
exponents – try to use all the power
properties and don't forget zero and
negative powers.
In the next slides you will review:
Simplifying expressions with
radicals – try to use all the root
powers and don't forget
rationalizing denominators
In the next slides you will review:
Minimum of four word problems of
various types. You can mix these in
among the topics above or put them
all together in one section. (Think
what types you expect to see on
your final exam.)
In the next slides you will review:
Line of Best Fit or Regression Line
A. When do you use this?
B. How does your calculator
help?
C. Give a set of sample data in
question format to see if your
students can find the regression
equation.
Did Ms. Hardtke forget any other
major topics covered in Semester
2? If so, add additional slides of
your choice.