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) Multiplication Property (of Equality) Example: If blah blah, then blah blah.

Reflexive Property (of Equality) Symmetric Property (of Equality) Transitive Property (of Equality) Example: If blah blah, then blah blah.

Associative Property of Addition Associative Property of Multiplication Example: If blah blah, then blah blah.

Commutative Property of Addition 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 Prop of Reciprocals or Inverse Prop. of Multiplication Example: If blah blah, then blah blah.

Identity Property of Addition Identity Property of Multiplication Example: If blah blah, then blah blah.

Multiplicative Property of Zero Closure Property of Addition Closure Property of Multiplication Example: If blah blah, then blah blah.

Product of Powers Property Power of a Product Property Power of a Power Property Example: If blah blah, then blah blah.

Quotient of Powers Property Power of a Quotient Property Example: If blah blah, then blah blah.

Zero Power Property 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 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. 1. a + b = b + a Click when you’re ready to see the answer. Answer: Commutative Property (of Addition)

Now you will take a quiz! Look at the sample problem and give the name of the property illustrated. 2. Blah blah (you can duplicate this slide) Click when you’re ready to see the answer. 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 the answer here. Set to fade-in on click Type a sample problem here. Blah blah blah. You can duplicate this slide. Type any needed explanation or tips here. Set to fade-in 3 seconds after the answer appears above. Click when ready to see the answer.

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, point- slope 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.