Finishing up the Coordinate Geometry Unit

The rest of the unit will be done with worksheets so the homework every night is to finish the worksheet started in class.

11/26  Recap of coordinate work so far
11/27  Coordinate Proofs - Day 1 (numerical proofs)
11/28  Coordinate Proofs - Day 2 (general proofs)
11/29  Coordinate Proofs - Day 3 (mix of numerical and general proofs)

12/03  Review of Unit (answer key)
12/04  Individual Assessment (A-Block)
12/05  Group Assessment (A-Block)  Individual Assessment (F-Block)
12/06  Group Assessment (F-Block)  start the next section (A-Block)

After this we will be going on to transformations from a geometric perspective (putting together the transformations of functions with the coordinate work that we have been doing).

Excellent description from quiz

I am going to post excellent responses to the question of the relationship between the Distance Formula, the Pythagorean Theorem and the Equation of a Circle:

"The Distance Formula is actually the Pythagorean Theorem unsquared.  Instead of d^2 (c^2) it's just d and (x1-x2)^2 and (y1-y2)^2 are a^2 and b^2.  The equation of a circle is the Pythagorean Theorem.  (x - h)^2 is a^2 and (y - k)^2 is b^2, while the radius  squared is c^2."

"They are all in some way forms of the Pythagorean Theorem, and they can all be used to find the distance between two points on a graph."

"They all tell the distance of something.  The Distance formula tells the distance of point A to point B.  The Pythagorean theorem tells the length or distance of side C. And the equation of a circle calculates the distance of points from the center of the circle."

Good one for the the Pythagorean Theorem - Distance formula link:
"The distance formula is related to the Pythagorean Theorem because they both find distance.  The distance formula uses coordinates and the Pythagorean Theorem uses already known lengths, which can all be found by using coordinates."

Good one for the Distance Formula - Circle Equation link:
The equation of a circle is the distance formula, just after squaring both sides to make it d^2 = (x1-x2)^2 + (y1-y2)^2.  This is because when you are graphing a circle, the point it is centered around, or (h, k), is the same as (x2, y2).  Also, the radius (r^2) is just the distance from the center of the circle to any point on the circle.

And best of all...

"The distance formula is like the pythagorean theorem because finding the distance between two points is the same as finding the hypotenuse of a triangle if the two points were the legs of the triangle.  It is related to the equation of a circle because in a circle you are finding points at a certain distance away from the middle."

Think about your answer.  How does it compare for completeness and clarity?

Beginning Coordinate Geometry

Our next section of this unit is on coordinate geometry.  Much of this material would have been covered last year if you had take Math 1 so we are using copies of some sections from the Math 1 book.

11/08  Post-Quiz do "Getting Started" in 8C, p.659-661/1-11
11/09  Midpoint (and Distance) Formula (F-Block)
           CW p.662-663 In-Class Experiment, p.666/1,2,5,6,  HW p.667-668/7-14, 16-22

11/12  Veterans' Day - no school
11/13  Midpoint (and Distance) Formula (A-Block)

           CW p.662-663 In-Class Experiment, p.666/1,2,5,6,  HW p.667-668/7-14, 16-22

11/14  Parallel Lines and Collinear Points

           CW p.669 In-Class Experiment, p.671 For You to Do;  HW p.672-673/1-7, 9

11/15  Perpendicular Lines

           CW Handout of Exploration  HW p.677-678/1-3, 5-8, 10-12

11/16  Circles, Secants and Tangents  (F-Block)

           CW/HW handout

11/19  Circles, Secants and Tangents (A-Block),  Locus Problems (F-Block)

           CW/HW handout

11/20  Locus Problems (A-Block)

           CW/HW handout

11/21  Follow-up locus problem  (Half Day A C F H)
11/22  Thanksgiving!

Transformations

We are going back to the book.  Make sure you can log on!  Any day that we do not finish the classwork, please finish it for homework.  (Note: The dates are for A-Block.)

But first, one more worksheet....
10/23  Proving the Pythagorean Theorem and the Distance Formula
                    HW finish the distance problems on the worksheet
10/24  4.14  Getting Started on Transformations
                    CW p.335/1-10;  HW p.336-337/12-24
10/25  4.15  More Basic Graphs
                    CW/HW p.344-345/1-3, 8, 13-16

10/29  Hurricane - school closed
10/30  Hurricane Damage - school closed
10/31  4.16  Translating Graphs
                    CW p.352-353/1-3, 6, 7;  HW p.353-355/9-13
11/01  4.15, 4.16  Extra practice with x^3 + x and x^3 - x
                    CW p.342-343,345/7, 9-12 and p.352-353/4,5,8; HW Additional Practice
11/02  4.17  Scaling Graphs (F-Block schedule)
                    CW p.357/1, 2;  HW p.362-364/1, 2, 4, 9, 14-18

11/05  4.17  Scaling and Reflecting Graphs (A-Block schedule)
                    CW p.357/1, 2, 3, 5;  HW p.362-364/1, 2, 4, 9-11, 14-18
11/05  4.17  Reflecting Graphs (F-Block schedule)
                    CW p.361-362/3, 5;  HW p.363-364/10, 11, 13 and p.365/1-8
11/06  Professional Development Day - no school
11/07  Review Function Transformations
11/08  Quiz of Section 4D, do 8C "Getting Started"
           HW p.659-661/1-11

There will be homework check quick quizzes so keep up.

Last day of stats on the computers

Today is our last day of the statistics unit.  You will work with a partner and a computer to process two data sets that are in the file below.  The tasks are outlined in the file.  You should print out your results or email them to me (dhaupt@sch.ci.lexington.ma.us) when you are done.  You should finish before the end of the block to show that you are ready for Monday's test.

File of data (runs Excel).

Data for studying correlation

We will be using two different files to look at correlation.  The first is for playing around, the second is for calculations.

First file (runs Geometers Sketchpad).

Second file (runs Excel).

The Intro to Statistics Unit

We are doing an Intro to Statistics unit, focussing on types of data and how to present them.  The unit is a compendium of info from (mostly) the Math 1 so we will be using handouts.  The homework every night is to finish that day's handout.

09/27  Categorical Data - what is it?

10/01  Two-way Tables - a way to present categorical data
10/02  Association - beginning analysis of categorical data
10/03  Scatterplots - graphing Quantitative data
10/04  Catch-up on ideas and review

10/08  Columbus Day - no school
10/09  Quiz of Stats unit so far
10/10  Best-fit lines by hand - analysis of scatterplots
10/11  Best-fit lines by computer/calculator

10/15  Linear practice
10/16  Correlation Coefficient
10/17  Test Review
10/18  Either further review or start the next unit

10/22  Stats Unit Test