Thinking Mathematically
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In the next slides you will review: Review all the Properties and then take a Quiz on identifying the Property Names PowerPoint PPT Presentation


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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.

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In the next slides you will review: Review all the Properties and then take a Quiz on identifying the Property Names

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In the next slides you will review review all the properties and then take a quiz on identifying the property names

Thinking MathematicallyA review and summary of Algebra 1Topics 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 review all the properties and then take a quiz on identifying the property names

In the next slides you will review:Solving 1st power equations in one variableA. Don't forget special cases where variables cancel to get {all reals} or B.Equations containing fractional coefficientsC.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

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

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.

Reflexive Property (of Equality)

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

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

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

Distributive Property (of Multiplication over Addition

Example: If blah blah, then blah blah.


Prop of opposites or inverse property of addition

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

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

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.

Product of Powers Property

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

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

Zero Power Property

Example: If blah blah, then blah blah.

Negative Power Property

Example: If blah blah, then blah blah.


Zero product property

Zero Product Property

Example: If blah blah, then blah blah.


Product of roots property

Product of Roots Property

Quotient of Roots Property


Root of a power 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

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 illustrated1

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 review all the properties and then take a quiz on identifying the property names

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 signB. ConjunctionC. 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 the answer here. Set to fade-in on click

Click when ready to see the answer.

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 review all the properties and then take a quiz on identifying the property names

In the next slides you will review:Linear equations in two variablesLots 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 review all the properties and then take a quiz on identifying the property names

In the next slides you will review:Linear SystemsA. Substitution MethodB. Addition/Subtraction Method (Elimination ) C. Check for understanding of the terms dependent, inconsistent and consistent


In the next slides you will review review all the properties and then take a quiz on identifying the property names

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 review all the properties and then take a quiz on identifying the property names

In the next slides you will review:Rational expressions – try to use all your factoring methods somewhere in these practice problemsA. Simplify by factor and cancelB. Addition and subtraction of rational expressionsC. Multiplication and division of rational expressions


In the next slides you will review review all the properties and then take a quiz on identifying the property names

In the next slides you will review:FunctionsA. 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 review all the properties and then take a quiz on identifying the property names

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 review all the properties and then take a quiz on identifying the property names

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 review all the properties and then take a quiz on identifying the property names

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 review all the properties and then take a quiz on identifying the property names

In the next slides you will review:Line of Best Fit or Regression LineA. 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.


In the next slides you will review review all the properties and then take a quiz on identifying the property names

Did Ms. Hardtke forget any other major topics covered in Semester 2? If so, add additional slides of your choice.


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