HolcombMath

Wednesday, May 09, 2007

Algebra (Class 77)

Announcements
CST Part 1, Tuesday May 15
CST Part 2, Thursday May 17

Overview
In today’s class we review our work for generalizing the process of solving quadratic equations by completing the square and put the final touches on creating our formula for solving quadratic equations-- the quadratic formula. We then practice putting this formula to work.
Textbook Sections
§12-3 (Txt. p.567) The Quadratic Formula

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
A process can be generalized by using variables.

Key Skills
Solving quadratic trinomial equations by completing the square.
Simplifying radicals.
Writing quadratics in standards form and identifying the coefficients.
Using the quadratic formula to solve a quadratic equation.

Turn In
§12-2 (Txt. p.566) #10-12, Mixed Review #5-7
Txt. p. 563 Mixed Review #1-4
CST Practice

Handouts
No Handouts Posted

Assignment
§12-3 (Txt. p.569)#1-3, 16-18
CST Practice
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Tuesday, May 08, 2007

Geometry (Class 75)

Announcements
CST Part 1, Monday May 14
CST Part 2, Wednesday May 16

Overview
In today’s class Quiz 12 is returned, discussed, and corrections started. We also continue with our practice for the CST test in preparation for next week. In addition we further our understanding of transformational geometry by examining how the coordinates of the vertices of a polygon are affected by different transformations.
Textbook Sections
§7.4 (Txt. p.421) Translation and Vectors
§7.2 (Txt. p.404) Reflections

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
There are 3 basic ways to move a shape without changing its size.
Different transformations have different affects on the coordinates of points on a shape.

Key Skills
Identifying the basic transformations.
Describing transformations.

Turn In
§7.1 (Txt. p.399)#1-35

Handouts
Chapter 7-Lesson 1: Moving without Changing Shape

Assignment
Txt. p.402 #44, 45, and Mixed Review #47, 48, 51-56, 57
§7,4 (Txt. p.425) #15, 16, 31, 32, and Mixed Review #62, 63, 68-70
Correct Quiz 12
Ch. 7- Lesson 1 #1-14
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Monday, May 07, 2007

Algebra (Class 76)

Announcements
CST Part 1, Tuesday May 15
CST Part 2, Thursday May 17

Overview
Today we work on turning the completing the square procedure into a formula-- a recipe that will work all the time as long as we know the ingredients-- by generalizing the equation we start with term by term.

Textbook Sections
§12-3 (Txt. p.567) The Quadratic Formula

Vocabulary
Standard form of a quadratic equation
Quadratic formula
Decriminant

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
Completing the square can be turned into a formula-- the Quadratic Formula-- by generalizing the process step by step.

Key Skills
Solving quadratic trinomial equations by completing the square.
Simplifying radicals.
Writing quadratics in standards form and identifying the coefficients.
Using the quadratic formula to solve a quadratic equation.

Turn In
§12-2 (Txt. p.566) #7-9, 13-15
§10-8 (Txt. p.496) #16-18
5 simplify radicals problems from class

Handouts
No Handouts Posted

Assignment
§12-2 (Txt. p.566) #10-12, Mixed Review #5-7
Txt. p. 563 Mixed Review #1-4
CST Practice
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Friday, May 04, 2007

Geometry (Class 74)

Announcements
CST Part 1, Monday May 14
CST Part 2, Wednesday May 16

Overview
Today we continue our review for the CST, take a quiz, and begin work with transformations.
Textbook Sections
§7.1 (Txt. p.396) Rigid Motion in a Plane

Vocabulary
transformation
isometry
slide
reflection

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
There are 3 basic ways to move a shape without changing its size.

Key Skills
Identifying the basic transformations.
Describing transformations.

Turn In
§11.4 (Txt. p.686) #15-18, 20, 21, 24, 25, 31, 45, 48, 49
Txt. p.675 Mixed Review #54, 56, 57-64
Weekly Summary

Handouts
No Handouts Posted

Assignment
§7.1 (Txt. p.399)#1-35

Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Thursday, May 03, 2007

Algebra (Class 75)

Announcements
CST Part 1, Tuesday May 15
CST Part 2, Thursday May 17

Overview
In today’s lesson we continue our work with solving quadratic equations by completing the square. One new skill we pick up is how to simplify radicals. Further, as we practice using this technique, we work towards turning it into a formula-- a recipe that will work all the time as long as we know the ingredients.
Textbook Sections
§11-9 (Txt. p.544) Multiplication of Binomials Containing Radicals
§12-3 (Txt. p.567) The Quadratic Formula

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
Radicals can be simplified by factoring out the largest perfect square.
Completing the square can be turned into a formula-- the Quadratic Formula

Key Skills
Solving quadratic trinomial equations by completing the square.
Simplifying radicals.
Writing quadratics in standards form and identifying the coefficients.

Turn In
Quiz Corrections
§12-2 (Txt. p.566) #1-6
§10.8 (Txt. p.496) #13-15, 21, 22

Handouts
No Handouts Posted

Assignment
§12-2 (Txt. p.566) #7-9, 13-15
§10-8 (Txt. p.496) #16-18
5 simplify radicals problems from class
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Wednesday, May 02, 2007

Geometry (Class 73)

Announcements
Quiz Friday: Chapter 12.1 to 12.5, Chapter 11.1-11.4

CST Part 1, Monday May 14
CST Part 2, Wednesday May 16

Overview
In today’s lesson we pick up a few miscellaneous ideas as well as begin our study of transformational geometry. In particular we learn: 1) how to find the length of an arc when we know the measure of the central angle and the circumference of a circle, 2) about the areas of similar shapes which have twice the perimeters, 3) how the coordinates of the vertices of a shape are affected by slides and reflections.
Textbook Sections
§11.4 (Txt. p.683) Circumference and Arc Length
§7.4 (Txt. p.421) Translation and Vectors
§7.2 (Txt. p.404) Reflections

Vocabulary
arc
arc length

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
The arc length can be calculated using the measure of the central angle and the length of the circumference of a circle.
If the perimeter of a shape is doubled, the area of the shape is squared.
Slides and reflections change the coordinates of a shape in predictable ways.

Key Skills
Finding arc length.
Finding area of similar shapes.
Predicting the coordinates of the vertices of a shape after a slide or reflection.

Turn In
§11.1 (Txt. p.665) #10-12, 18, 20, 24, 33-36
§11.2 (Txt. p.672) #9, 16, 19

Handouts
No handouts posted.

Assignment
§11.4 (Txt. p.686) #15-18, 20, 21, 24, 25, 31, 45, 48, 49
Txt. p.675 Mixed Review #54, 56, 57-64

Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.

Tuesday, May 01, 2007

Algebra (Class 74)

Announcements
CST Part 1, Tuesday May 15
CST Part 2, Thursday May 17

Overview
In today’s lesson we return to solving quadratic equations. This time we learn how to use a different approach based on first turning the equation into a perfect square.
Textbook Sections
§12-2 (Txt. p.564) Completing the Square

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
Squares are easy.
A quadratic trinomial is a perfect square if it can be factored as (Ax+B)^2.
Quadratic trinomial equations can be turned into squares using the process of “completing the square”.

Key Skills
Solving quadratic trinomial equations that are perfect squares.
Turning quadratic trinomial equations into perfect squares.

Turn In
Practice Worksheet p.129

Handouts
No Handouts Posted

Assignment
§12-2 (Txt. p.566) #1-6
§10.8 (Txt. p.496) #13-15, 21, 22
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.