HolcombMath

Monday, May 21, 2007

Algebra (Class 81)

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

Overview
In today’s class we consider the implications of building a rectangular garden given that we only have a fixed amount of fencing material. What will be the best set of dimensions to use? What possibilities will we be able to choose from? Can we develop some mathematics to help us?
Textbook Sections

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
Many different shapes can have the same perimeter but different areas.
The dimensions of a rectangle can be calculated from its perimeter.
Graphs and equations help us to make predictions.

Key Skills
Find all of the possible whole number dimensions of a rectangle with a given perimeter.
Calculate the area of a rectangle with a fixed perimeter given one dimension.
Graph non-linear data.
Use graphs and equations to make predictions.

Turn-In (#80)
Nothing to turn in!

Handouts
No Handouts Posted

Assignment
Chapter 6: Rational Expressions & Equations
Txt. p.649-651 #1-13 ODD, 17-23 ODD, 27, 33, 37-43 ODD, 73, 75, 79-87 ODD
Investigation 1 ACE #9, 11, 17, 18, 21, 24, 25
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 18, 2007

Geometry (Class 79)

Overview
In today’s class students can complete Chapter 7: Lesson 2, if needed, and then go on to an investigation into creating patterns for circular cones.
Textbook Sections
§7.3 (Txt. p.412) Rotations
§12.3 (Txt. p.735) Surface Areas of Pyramids and Cones

Vocabulary
central angle of a cone

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
There are relationships between the coordinates of images and pre-images which are the results of reflections across lines. These relationships can be used to make predictions.
Cones can be constructed from a flat piece of paper.
The radius of the base of a cone and the slant height of the cone are key pieces of information for constructing a pattern for a cone.
The central angle of a cone can be computed using arc length.

Key Skills
Determining the location of the vertices of a figure after a reflection across the x-axis, y-axis, line y = x, or line y=-x.
Creating the image of a figure after a rotation about the origin.
Determining the angle of rotation needed to duplicate a reflection across two intersecting lines.
Identifying and measuring parts of a cone when given a pattern for the cone.
Creating a pattern for a cone given the radius and slant height.

Turn-In (#78)
No assignments due.

Handouts
Chapter 12- Making a Cone

Assignment
No Homework-- except for any class work that needs to be completed.
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 17, 2007

Algebra (Class 80)

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

Overview
Today we write the second, and last, part of the California Standards Test in Math. Take the Test and Do Your Best!
Textbook Sections
No New Textbook Sections

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas

Turn-In (#79)
Nothing to turn in!

Handouts
No Handouts Posted

Assignment
No homework.
The following IS NOT due next class. You can get a head start if you want.
Review Assignment:
Chapter 6: Rational Expressions & Equations
Txt. p.649-651 #1-13 ODD, 17-23 ODD, 27, 33, 37-43 ODD, 73, 75, 79-87 ODD

Chapter 8: Linear Equations
Txt. p. 653-654 #1, 5, 13-33 EOO, and 27, 45-51 ODD, 57, 59, 63, 65, 67

Chapter 9: Systems of Equations
Txt. p. 656-657 #1-5 ODD, 15-25 ODD

Chapter 12: Quadratic Equations
Txt. p.662-663 #1, 9, Solve #35 and 43 by factoring, Solve #32 and 53 by completing the square, Solve #23 and 31 by using the Quadratic Formula
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 16, 2007

Geometry (Class 78)

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

Overview
Today we write part 1 of the California Standards Test in Math
Textbook Sections
No new textbook sections

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas

Turn-In (#77)
No assignments due.

Handouts
No Handouts Posted

Assignment
No Homework!
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 15, 2007

Algebra (Class 79)

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

Overview
Today we write the first part of the California Standards Test in Math. Take the Test and Do Your Best!
Textbook Sections
No New Textbook Sections

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas

Turn-In (#78)
§12-3 (Txt. p.569)#4-6, 13-15
Txt. p.558 #1-3

Handouts
No Handouts Posted

Assignment
No Homework!
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 14, 2007

Geometry (Class 77)

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

Overview
Today we write part 1 of the California Standards Test in Math
Textbook Sections
No new textbook sections

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas

Turn-In
Cumulative Practice (Txt. p.780) #1-6, 8, 9, 11-14, 16, 17, 24, 27-29, 35-37

Handouts
No Handouts Posted

Assignment
No Homework!
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 11, 2007

Algebra (Class 78)

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

Overview
In today’s class we investigate how rectangles with a fixed perimeter in order to determine the best way to build a fence around a garden.
Textbook Sections
§12-4 (Txt. p.572) Graphs of the Quadratic Function

Vocabulary
quadratic relationship
quadratic function

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
Rectangles that have the same perimeter can have different areas.
Tables, graphs, and equations can be used to investigate, describe, predict, and help explain patterns.

Key Skills
Create rectangles with a given perimeter.
Create a table of values in order to record data.
Write an equation which describes the data in a table.
Create a graph using data in a table.

Turn In
§12-3 (Txt. p.569)#1-3, 16-18
CST Practice

Handouts
No Handouts Posted

Assignment
§12-3 (Txt. p.569)#4-6, 13-15
Txt. p.558 #1-3
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 10, 2007

Geometry (Class 76)

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

Overview
Today’s class is the last one before we take the California Standards Test (CST). In this class we finish our practice for the CST, complete our work with slides and reflections, and begin to look more in depth at rotations about a point.
Textbook Sections
§7.3 (Txt. p.412) Rotations

Vocabulary
isometry
rotation
center of rotation
rotation angle

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
A rotation is an isometry-- a way to move the location of a figure without changing its shape.

Key Skills
Rotating a figure about a point.
Determining the angle of rotation for a transformation.

Turn-In
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

Handouts
No Handouts Posted

Assignment
Cumulative Practice (Txt. p.780) #1-6, 8, 9, 11-14, 16, 17, 24, 27-29, 35-37
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 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.