Computer Labs

We will start our deductive geometry unit with an exploration using GeoGebra (a free geometry/algebra program that you can download for use at home).  Here is the schedule:

Wednesday, 12/19  A-Block in room 700,  F-Block has their test
Thursday, 12/20  both classes meet in room 816, we use the laptop cart
Friday, 12/21  F-Block in room 700

This should be a fun way to head into vacation but don't forget that you are supposed to learn something!

Answer Key for the Review

Here is the answer key for the Transformation and Coordinate Geometry Review.

Studying for the big Unit Test

The test on Tuesday puts together the function transformation material with the coordinate geometry material.  It is a lot to put together and I have trying to help you see that it is all interconnected so that you do not have to memorize lots and lots of things.  Below are some hints about studying:


I have given you a Review sheet which lists the concepts and skills that you need to be able to do.  Make sure you find the test and quiz questions that relate to every concept and skill so that you can self assess which skills you understand well and which you could use more help with.

I have given you a packet of review problems.  Use them to test how well you feel able to do problems without looking at notes or getting help.

Here is the answer key to the Pairs Coordinate Geometry assessment.  Use it to help you understand any problems that you may have gotten wrong, or what you could have done better if you did not get full credit.

Don't just read over notes and problems - Do Them!  Practice is the best way to study for a math test!

Putting together Coordinates and Transformations

The last part of this unit (before the big test) is dealing with transformations of figures through their coordinates. This is not a long unit because we have dealt with many of these ideas separately already but we will be adding rotations. We will be using a packet though it is from the same book series. As always, any classwork not finished in class becomes part of the homework.

Note that the dates are for A-Block. F-Block is one day later after Mondays.

12/06 8.05 Getting Started CW In-Class Experiment and p.621-622/1,2,3,5
          HW p.622-623/6-8, 10-12

12/10 8.06 Reflections CW all p.624-625 and p.626/1,2
          HW p.627-629/7-9, 11-15
12/11 8.07 Translations CW p.631-634/1-6, Minds in Action, 7-9
          HW p.635-637/1-7
12/12 8.08 Rotations CW p.643 In-Class Experiment, p.644-645/1-4
          HW p.645-646/7-10
12/13 8.09 Isometry and 8B Review CW p.653-654/5-7, 8a
          HW p.656/1-7 (this will be collected, do it neatly)

12/17 Entire Unit Review
12/18 Test of Transformation and Coordinate Unit

12/19 Computer Lab about Triangle Congruence (Day 1)
12/20 Computer Lab about Triangle Congruence (Day 2)

12/22-01/01 Christmas Break
01/02 Parent Conferences, no school

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!