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
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
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.
--------------------
(Begin at 2:19)
--------------------
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
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.
--------------------
(Begin at 2:19)
--------------------
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