HolcombMath

Thursday, April 05, 2007

Geometry (Class 66)

Announcements
Quiz Friday, April 20 focusing on Chapter 10 Lessons 1-5

Overview
In today’s class we examine the relationships of lengths of segments of chords both inside and outside of circles. As time permits we also begin our study of the measures of angles formed by lines intersecting inside and outside of circles.
Textbook Sections
§10.5 (Txt. p.629) Segment Lengths in Circle
§10.4 Other Angle Relationships in Circles

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
Similar triangles can help us find relationships between the lengths of chords inside and outside of circles.

Key Skills
Proving triangles similar,
Writing and using proportions.
Finding the lengths of segments of internal chords of circles.
Finding the lengths of segments of external chords of circles.

Handouts
Chpater 10-Lesson 3: Intersecting Chrods of a Circle
Chapter 10.4-Lesson 4: Extended Chords of a Circle
Chapter 10-Lesson 5: Inside or Outside

Assignment
§10.5 (Txt. p.632) #10, 11, 13, 14, 16, 17, 19, 20, 25, 26, 40, 46
Chapter 10 Lessons 2, 3, and 4 are due next class. Please staple the book problems above to these lessons. All my be turned in together.
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, April 04, 2007

Algebra (Class 67)

Announcements
Quiz next class focusing on graphing and finding the equation of a line.

Overview
Today we address the question: “How can you make a graph of a line quickly when given an equation?”

Textbook Sections
§8-4 (Txt. p.366) The Slope-Intercept form of a Linear Equation

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
The slope and y-intercept of a line are useful for graphing quickly.

Key Skills
Drawing and labeling a coordinate graph.
Plotting points on a coordinate graph.
Determining the coordinates of points on a coordinate graph.
Finding the slope of a line given two points.
Finding the y-intercept using equations.
Operations with integers and positive or negative rational numbers.

Vocabulary
Slope
y-intercept
slope, y-intercept form

Handouts
No Handouts Posted

Assignment
Factoring Practice WS 13-12
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, April 03, 2007

Geometry (Class 65)

Overview
Today we continue our investigations into geometric relationships related to circles. In particular we investigate lines tangent to a circle. As time permits we begin to investigate relationships related to intersecting chords of circles.

Textbook Sections
§10.1 (Txt. p.595) Tangents to Circles
§10.5 (Txt. p.629) Segment Lengths in Circle

Key Attitudes
Mathematics is about looking for patterns.

Key Ideas
If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.
If two segments from an exterior point are tangent to a circle, then the segments are congruent.
If two tangents to a circle are drawn from an external point, then their angle angle bisector passes through the center of the circle.

Key Skills
Constructing a tangent line to a circle.
Constructing a circle tangent to a line.

Vocabulary
chord
tangent line
tangent
point of tangency
radius
perpendicular

Handouts
Chapter 10-Lesson 2- Tangent to a Circle

Assignment
§10.3 (Txt. p.617) #9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 31, 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.

Monday, April 02, 2007

Algebra (Class 66)

Overview
Today we solidify concepts and skills related to graphs of linear equations.
Textbook Sections
No new book sections.

Key Attitudes
Mathematics is about generalizing and applying patterns.

Key Ideas
The slope is a rate which shows how fast one variable changes in relation to another variable.

Key Skills
Drawing and labeling a coordinate graph.
Plotting points on a coordinate graph.
Determining the coordinates of points on a coordinate graph.
Finding the slope of a line given two points.
Finding the y-intercept using equations.
Operations with integers and positive or negative rational numbers.

Handouts
No Handouts Posted

Assignment
Finish Worksheets Started in 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.