Tuesday, March 14, 2017

15 Mar 2017

Block 01

Bridge

Section 40 Solving Quadratics by Factoring p.554

Notes-----
Examples 1, 2, 3, 4, 5, 6, 7, 8, 9
Green Box Notes
Problems (1-15) p.565/566
Notes-----

Problems (16 - 45) p.566


Block 03

Geometry

11.2 Proving Figures are Similar using Transformations p.587

Brief review of terms and ideas...

Compare/Contrast definitions of Congruent and Similar

Congruent: Corresponding angles have same measure, corresponding sides have same length.


Similar: Corresponding angles have same measure, corresponding sides are proportional.


Refer back to Dilations and Dilation notation.
(x, y) → (3x, 3y) is an example.  D 3 is another way.  3 would be the scale or scaling factor.


The rigid Congruency Transformations are: translation (slide), rotation, reflection.

The non-rigid Similarity Transformation is:  dilation.

...BUT since a dilation with a scale factor of 1 produces a congruent image, congruent figures are also similar.   So when we are introduced to Similarity Transformations, we can include the rigid or congruency transformations along with dilatons.

Think of it this way...  Congruent figures are also Similar, but Similar figures are not often Congruent.

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(Begin at 2:19)

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Remember, today's objective is Proving Figures are Similar using Transformations.

Complete Exploration questions p.587 to p.592.  Stop at 3: Proving All Circles Are Similar.
We will do the Circle proof next class.

Work the Evaluation Problems (1 - 15) starting on p.594.  Finish as Homework if needed.


Tomorrow: Proving all circles are congruent...  problems 17 - 20 p.598  and  11.3 Corresponding Parts of Similar Figures p.601



Remember, today's objective was Proving Figures are Similar using Transformations.




Block 04

Bridge

(Review due to many students out that day)
Section 40 Solving Quadratics by Factoring p.554

Notes-----
Examples 1, 2, 3, 4, 5, 6, 7, 8, 9
Green Box Notes
Problems (1-15) p.565/566
Notes-----

Problems (16 - 45) p.566



Block 05

Calculus