28 Apr 2017

Block 01

Bridge

Analytical thinking can help up solve problems...  sometimes solving those we don't even know we have.
For example, each day, hundred of pounds of cake is wasted due to poor planning as diners discover the cake they cut yesterday or the day before has dried-out and is no longer tasty.




Think of 5 non-conventional problems analytical thinking could solve and turn in.  Be specific.




Block 03

Geometry

Volume of composite shapes, continued.


p. 977  (1-4)  Multi-step high-level thinking.

Review formulas...  note Oblique objects  (altitude vs height)  Additive vs Subtractive compositing.




Problems  (1,2,3,4) page 977






Block 04

Bridge

Analytical thinking can help up solve problems...  sometimes solving those we don't even know we have.
For example, each day, hundred of pounds of cake is wasted due to poor planning as diners discover the cake they cut yesterday or the day before has dried-out and is no longer tasty.







Block 05
Calculus

Continue looking at examples of and working problems related to integrating logarithmic and exponential functions.

27 Apr 2017

Block 01

Bridge

Watch short video on how Eratosthenes calculated the circumfernece of the Earch approximately 2000 years ago.




Write short summary of key points inc. main math concepts used (include diagrams.)  Turn in at end of class.




Block 03

Geometry

Enrichment.  Work higher-level Volume problems p.960 (16, 17, 20)






Block 04

Bridge

Watch short video on how Eratosthenes calculated the circumfernece of the Earch approximately 2000 years ago.




Write short summary of key points inc. main math concepts used (include diagrams.)  Turn in at end of class.


Block 05

Calculus

Integration of Log and exp functions




More Examples

26 Apr 2017

Block 01

EOC Study Hall


Block 03

Geometry

EOC Study Hall


Block 04

Calculus

Review Exponential Functions and Intro Exp Function derivatives

After first couple of examples freeze video and let students work problems - then check.



After first couple of examples freeze video and let students work problems - then check.

Compare the formulas for the derivatives of Log and exp functions...

25 Apr 2017

Block 01

Bridge

Study Hall for EOC


Block 03

Geometry

Day 3 of EOC testing


Block 04

Bridge

Study Hall for EOC

Block 05

Calculus

Review of Log and Exp Functions - Derivatives of each.

21 Apr 2017

Block 01
Bridge

Study Hall - EOC



Block 03

Geometry EOC 2nd day

Block 04
Bridge

Study Hall - EOC


Block 05

Calculus

Volume of Revolution by Washer Method  - work several problems

HW  Video of Surface Area:  Watch video, take notes, be ready to work problems Monday


Example problem:

20 Apr 2017

Block 01
Bridge

Study Hall - EOC



Block 03

Geometry EOC 1st day

Block 04
Bridge

Study Hall - EOC


Block 05

Calculus

Finish up Area Between Curves  -- Begin Volume of Revolution by Washer Method

19 Apr 2017

Block 01

Bridge

Section 53 continued

p.694 (47-56)


Block 03

Geometry

EOC Review


Block 04


Block 05

Work problems - Area between curves

Geometry EOC Review

Items will be added up to the day of the EOC.  Check in between now and then for updates.
-  Mr.  Smith




Review Handout Link (PDF)


Congruence by Transformations (Translation, Reflection, Rotation.)


















All Circles are Similar---------------------




-----
-----



Equation of a Circle:






Graphing Circles in Standard Form (Center Radius Form)






Properties of Parallel Lines









Geometric Transformations:


Rigid Transformations:









Non-rigid transformations:

18 Apr 2017

Block 01

Bridge
Section 53 Set Concepts (cont) p.684
Work problems (1-14) p.693





Block 03

Geometry

16.3  Sector Area (and Arc Length)












Evaluation Problems p. 878  (5-10; 14-17; 22;28)

The Center-Radius Form of a Circle








Block 04

Bridge
Section 53 Set Concepts (cont) p.684
Work problems (1-14) p.693


Block 05

Calculus

Area Between Curves

17 Apr 2017

Block 01

Bridge

Sets  p.685


Notes-----------------
Work out Examples 1 - 6 p. 685 - 688

Copy Table 53.1 p.685

Copy Table 53.2 p.689
Notes---------------

Finish next class


Block 03

Geometry
18.4 Volume of Spheres  p.963
19.4  Surface Area of Spheres p.1019







So...  if the volume of a cone is 1/3 a cylinder of the same radius...  how much of a cylinder will be filled by a sphere of the same radius???






Evaluation Problems (2-15) p.968
Evaluation Problems (1-10) p.1023



Block 04

Bridge

Sets  p.685


Notes-----------------
Work out Examples 1 - 6 p. 685 - 688

Copy Table 53.1 p.685

Copy Table 53.2 p.689
Notes---------------

Finish next class


Block 05

Calculus VOlume - Method of Shells

13 Apr 2017

Block 01

Bridge

Continue and finish yesterday's assignment



Block 03

Geometry

18.2  Volume of Pyramids (Surface Area added) p.937

18.3  Volume of Cones  (Surface Area added) p.









Evaluation Problems (1-19) p.943
Evaluation Problems (2-12; 14, 15, 20) p.955

Monday Volume and Surface Area of Spheres
Tues and Wed  Work and complete Review

Block 04

Bridge

Continue and finish yesterday's assignment


Block 05

6.3  Volume: the Shell Method p.432

Finding Volume using Method of shells


Shell Method 01

work problems on page
Page 437 (1,3,7,13,35)

Homework over the weekend:  copy examples from problems below-  Turn in Monday.
Shell Method 02

Shell Method 03

Shell Method 04

12 Apr 2017

Block 01

Bridge

Notes----

Checkpoint 1 through  6   p. 169 - p.172

Work problems 1 - 10 p. 172
Notes-----

Problems 15 - 49 ODD ONLY p.173

Block 03

Geometry
18.1 Volume of Prisms and Cylinders p.925

Review area for Circle







When finding Volume, it doesn't matter if the cylinder is Right or Oblique...  just use the perpendicular height.

Use the combined areas of the "unrolled" right cylinder above to fins the Surface Area

Oblique cylinder Surface Area requires you to use the Slan Height, l, in the formula. 

When finding Surface Area for an oblique, or leaning, cylinder, you need to use the slant height...

Problems:  Evaluation Questions 1 - 19 p.932 - p.935 + Lesson Performance Task p.936


Block 04

Bridge

Notes----

Checkpoint 1 through  6   p. 169 - p.172

Work problems 1 - 10 p. 172
Notes-----

Problems 15 - 49 ODD ONLY p.173


Block 05

Calculus

Continue Volumeas of Revolutions - Disk Method

11 Apr 2017

Block 01

Bridge

Review Composite and Inverse Functions

Check Point 01 - 19 (orange boxes)  p.  158 -164




Block 03

Geometry
EOC Practice Test  (40 Min)

Short intro to Volume and Surface Area :  Rectangular Prisms (Solids) (30 Min)




Class Problems (PDF)

Block 04

Bridge

Review Composite and Inverse Functions

Check Point 01 - 19 (orange boxes)  p.  158 -164






Block 05

Calculus

10 Apr 2017

Block 01

Bridge

Review Polynomial Multiplication

Problems (1-9) p.134/135/136  (multistep)


Block 03

Geometry
EOC Practice Test



Block 04

Bridge

Review Polynomial Multiplication

Problems (1-9) p.134/135/136  (multistep)



Block 05

Calculus

Integration involving U-subst.  Word problem introduction

07 Apr 2017

Block 01

Bridge

Notes-----
p.245-251
Green Box Notes
Example 2,3,4
Notes-----

Problems p.251  (1-8)



Block 03

Geometry
15.2  Angles in Inscribed Quadrilaterals  p.793




Explanation Problems p. 801  (10 - 18)
Inscribed Angle Worksheet


Block 04

Bridge

Notes-----
p.245-251
Green Box Notes
Example 2,3,4
Notes-----

Problems p.251  (1-8)


Block 05

U-Substitution Problems

06 Apr 2017

Block 01

Bridge

Notes----------------
p.242 Green box notes
Example 2, 3, 4
Study Tip p.251
Problems p.251 (1-8)
Notes----------------



Block 03

Geometry


Terms:  Circles, Major/Minor Arc, Chord, Secant line, Tangent Line, etc...


15.1  Central Angles and Inscribed Arcs p.779

Notes: p.780  Arcs;  p.781 Arc Addition;  p.782 Inscribed Angle;  p.785 Inscribed Arc - Diameter

Evaluation Problems p.786  (1-21; 24)

15.5  Angle Relationships in Circles  p.829

Notes:  p.830 Intersecting Chords;  p.832 Tangent-Secant;  p 834 Angle Relationships in Circles

Evaluation Questions p. 836 (3-15)


Block 04

Bridge

Notes----------------
p.242 Green box notes
Example 2, 3, 4
Study Tip p.251
Problems p.251 (1-8)
Notes----------------


Block 05

Calculus

U-Subst. problems

p.297 (7-20)

05 Apr 2017

Block 01

Bridge

Page 241 - 242  (35 - 45)

Draw Diagram (triangle) and show work



Block 03

Geometry : Other Trig Relationships

14.1 Law of sines p.743








page 750 (9-14)  (20 Min)



14.2  Law of Cosines  p.755






p.760 ( 4-14)

HW  Use the video  above to see how you can apply the law of cosines to find the Angle instead of the opposite side by using what is known as an inverse Trig function.  Copy down the problems as it is worked and turn in first of next period.


Block 04

Bridge

Page 241 - 242  (35 - 45)

Draw Diagram (triangle) and show work

Block 05

Finish definite integrals worksheet from last lesson.  

Continue with U-Substitution worksheet today.

Link

04 Apr 2017

Block 01

Bridge

Finish yesterday's assignment


Block 03

Geometry
Check yesterday's work
Finish yesterday's work (10)

13.3  Special Right Triangles  p.709

Show why the side ratios exist and how to remember them (10-15 min)

(If you miss class, watch the video below:)


Work all problems from p.711 - 720

Check answers every 3 - 4 problems




Block 04

Bridge
Finish yesterday's assignment


Block 05

Calculus

Fund. Theorem  -- Definite Integrals

Problems :  LINK

03 Apr 2017

Block  01

Bridge

Notes------

 p.235  -- 239
Green Box Notes
Study Tips
Examples 1, 2, 3, 4, 5 (Math + diagrams)

 1-12  p. 239/240

Notes----
Problems (13-32) p. 240-241


Block 03

Geometry


*Note:  You will need a Calculator for Module 13

What is Trig and how is it different (and sometimes better) that the Pythagorean Theorem?  How is it worse?

13.1  Tangent Ratio in Right Triangles p.687  (35 Minutes)

Intro to Trig Functions Sin, Cos, Tan + Tan example problem

p. 692 ( 2- 20)


13.2 Sine and Cosine Ratios p.697

Note: Trig Ratios top of p 698  sin and cos ratios
Note: Using Complementary Angles Top of p.699




Sine Problem:




p.704 (3 - 24)

HW: finish remaining problems


Block 04

Bridge

Notes------

 p.235  -- 239
Green Box Notes
Study Tips
Examples 1, 2, 3, 4, 5 (Math + diagrams)

 1-12  p. 239/240

Notes----
Problems (13-32) p. 240-241


Block 05

Calculus

Review Fund. Theorem of Calculus  -- work associated problems.


U Substitution 01

U Substitution 02