Chapter 8 Review - February 26th

Topics for Today:

Today we reviewed concepts in Chapter 8 (Sections 8-1 through 8-5) in preparation for our test tomorrow.  We played a game of Jeopardy as teams using review questions from our book.

Sections Covered in Textbook:

Test will cover Sections 8-1 through 8-5 (pages 394-423)

Resources & Tutorials:

1) Zero and Negative Exponents - February 5th Blog
2)  Scientific Notation - February 10th Blog
3)  Multiplication Properties of Exponents - February 11th Blog
4)  More Multiplication Properties of Exponents - February 24th Blog
5)  Division Property of Exponents - February 25th Blog
6)  Review Jeopardy Questions
7)  Review Jeopardy Answers

Assignments:

Study for Chapter 8 Test
** Completion of Chapter Review (pages 447-448) #'s 1-50 highly recommended!

Division Property of Exponents - February 25th

Topics for Today:

Today we tackled the last property of exponents that deals with division.

When dividing powers with the same base, we can simply subtract the exponents.  When dividing monomials, we must match up like bases with each other, and deal with them separately.

Sections Covered in Textbook:

8-5: Division Property of Exponents (pages 417-423)

Resources & Tutorials:

1) What's the quotients of powers rule?
2) How do you divide monomials using the quotients of powers rule?
     (*This video leaves a negative exponent - that is NOT simplest form!*)

Assignments:

1) Division Properties of Exponents Worksheet
2) Chapter 8 Test (Sections 8-1 to 8-5) Thursday

More Multiplication Properties of Exponents - February 24th

Topics for Today:

Welcome back, students!  Looking forward to our final trimester together.  Hopefully everyone had a relaxing vacation and you all are ready to come back and finish strong!

Today we reviewed the topics relating to exponents and exponent rules, including scientific notation.  We expanded our topic of multiplication of powers to include raising a power to a power, as well as taking a monomial to a power.  When a monomial (a number, a variable, or a product of a number and variable - this also includes whole number exponents) is raised to a power, each element of that product must be raised to that power.

Sections Covered in Textbook:

8-4: More Multiplication Properties of Exponents (pages 411 - 415)

Resources & Tutorials:

1) What the power of a power rule?
2) How do you take a monomial to a power?
3) More on the power of a product rule.

Assignments:

1) More Multiplication Properties of Exponents Worksheet
2) Chapter 8 Test (Sections 8-1 to 8-5) Thursday

Multiplication Properties of Exponents - February 11th

Topics for Today:

Today we discussed how to manage multiplying powers with the same base.  We looked at several examples as well as explored how to multiply numbers together that are in scientific notation.  In summary, when multiplying powers with the same base, just keep the base and add the exponents together.  This process works for both positive and negative exponents.

Graphic Credit: https://www.onlinemath4all.com/multiply-powers.html

Sections Covered in Textbook:

8-3: Multiplication Properties of Exponents (pages 405-410)

Resources & Tutorials:

1) What is the product of powers rule? 
2) How do you find the product of powers? 
3) How do you multiply numbers using scientific notation? 

Assignments:

Multiplication Properties of Exponents Worksheet

Scientific Notation - February 10th

Topics for Today:

Today we used exponents in a practical way when we learned about scientific notation.  Scientific notation is simply a way to write very large and very small numbers that follow a few rules.

Simply stated, scientific notation is the product of a number and a power of 10 that follows the format: 

a x 10ⁿ  where n is an integer and 1 ≤ a < 10

Image credit: https://pt.slideshare.net/jessicagarcia62/compute-with-scientific-notation/6?smtNoRedir=1

Vocabulary:  scientific notation

Sections Covered in Textbook:

8-2: Scientific Notation (pages 400-404)

Resources & Tutorials:

1) What's scientific notation? 
2)  How do you convert decimal notation to scientific notation? 
3) How do you convert from scientific notation to decimal notation? 
4) How do you order numbers in scientific notation? 

Assignments:

1) Scientific Notation Worksheet
2) Quiz Corrections due Tomorrow

Zero and Negative Exponents - February 5th

Topics for Today:

We began a discussion about powers, bases and exponents today, and focused on bases with a zero exponent as well as negative exponents.

Summary

• Any non-zero number raised to the zero power equals one!
• Negative exponents are fractions.  If a factor is moved up or down in a fraction, the sign of the exponent is changed.  

Sections Covered in Textbook:

8-1: Zero and Negative Exponents (pages 394-399)

Resources & Tutorials:

1) What do you do with a zero exponent? 
2) What do you do with a negative exponent?

Assignments:

1) Zero and Negative Exponents Worksheet
2) Quiz tomorrow over linear inequalities, systems of linear inequalities, and graphing absolute value functions.

More on Absolute Value Graphs and Translations - February 4th

Topics for Today:

We finished our discussion about absolute value graphs and their translations today.  In summary, we can easily draw an absolute value graph by looking at the pieces of the equation and determining if the vertex of the graph opens up or down, shifts left or right, shifts up or down, and is shallow or steep.

Sections Covered in Textbook:

6-7: Graphing Absolute Value Equations (pages 325-329)

Resources & Tutorials:

1)  Graphing Absolute Value Equations Introduction

2)  Shifting Absolute Value Graphs
3)  Absolute Value Graphs - Translations Class Notes

Assignments:
1) Graphing Absolute Value Functions Worksheet
2) Quiz Corrections Due Wednesday
3) Quiz Thursday over linear inequalities, systems of linear inequalities, and graphing absolute value functions.

Absolute Value Graphs and Translations - February 3rd

Topics for Today:

Today we continued our discussion of graphing absolute value functions through a DESMOS activity in class.  The purpose of the activity was to allow students to explore the various parts of an absolute value equation, and to draw their own conclusions about how changing various pieces of the equation affects how the graph looks.  All of these variations are called translations.

Vocabulary: absolute value graph, translation, vertex

Sections Covered in Textbook:

6-7: Graphing Absolute Value Equations (pages 325-329)

Resources & Tutorials:

1)  Graphing Absolute Value Equations Introduction
2)  Shifting Absolute Value Graphs

Assignments:

1)  Finish DESMOS Activity:  (student.desmos.com) Code: VWU GS5
2)  Quiz Corrections due Wednesday
3) Quiz Thursday on Linear Inequalities, Systems of Linear Inequalities & Graphing Absolute Value Functions.