21 May 2018

Geometry

Constructions:

Perpendicular Bisector







Perpendicular line through a point on a line





Calculus

Field Trip - no students present.

Geometry

see above

Bridge

no students present

16 May 2018

Geometry

3D Solid Foldable handouts: Day 02

Calculus

p.428.  (27-30)


Geometry

see above


Bridge

Continue with next Section

15 May 2018

Geometry

3D Solid Foldable handouts: day 01


Calculus

p. 428 (23-26)

Geometry

see above


Bridge

Continue with next Section

14 May 2018

Geometry


Short review of Complex (imaginary) Numbers



Watch the next 2 videos - and write a short (1/2 page) description of Fractals, how they might be used, and where you might find them in nature.  Do you think Complex Numbers play a large part in the behavior of Fractals like the Mandelbrot Set?









Calculus

p. 428  (19-22)


Geometry

see above


Bridge

Continue with next Section

09 May 2018

Geometry

Creating Curves from Straight Lines

Math and Art Meet








Worksheet

Instructions











Next Level Stuff:  Fractals











Fractal Triangles

2D and 3D Fractals

Informational Site on Fractals

Book:  The Fractal Geometry of Nature









Calculus

p.429  (47)

Geometry

see above

Bridge

08 May 2018

Geometry

Continued:
Origami - Tessellations as Art

Pic three or four objects from the projects listed on this page:  Printable Origami

Work in groups, but each student is responsible for turning in their own foldables.

Calculus

Volume of Revolution:  Part 2- Washer Method

page 429 (51; 53 - x-axis only)


Geometry

see above


Bridge

07 May 2018

Geometry

Origami - Tessellations as Art

Pic three or four objects from the projects listed on this page:  Printable Origami

Work in groups, but each student is responsible for turning in their own foldables.

Calculus

Continue and finish Disk and Washer Method Problems (11- 18) p. 428


Geometry

see above


Bridge

04 May 2018

Geometry

Write up results of measurement experiment conducted earlier in the week.

1 to 1.5 pages. 

Include diagram, formulas, procedure, results, and possible sources of error.



Calculus

Continue working Disk Method - Volumes of Revolution

Washer Method  p. 424

(15-18) p. 428



Geometry


See above


Bridge

Continue last section.

03 May 2018

Geometry

Review results from measurement experiment.

Go through two write-ups with class...  discuss procedure and common mistakes.  Derive a class average for the height of the power pole.  (77-83 ft)

Pass write-ups back out to groups for correction.



Calculus

Volumes of Revolution - Disk Method.  p.  421

Disk Method

(11-14) p.428


Geometry


see above


Bridge

02 May 2018

Geometry

Take class outside to location of TVA power pole.  Conduct measurement experiment.  Tabulate data.  Return to room and calculate results.


Calculus




Geometry


see above


Bridge

30 Apr 2018

Odd class times to allow for testing.

Geometry

Complete worksheets using the tangent function to find unknown heights.



Calculus

Continue working U-substitution problems from last class.


Geometry

see above


Bridge

27 Apr 2018

Geometry

Finding unknown heights using Trigonometry










Alternate Method:





Pick groups, prepare clinometers (or repair existing ones)

Will measure TVA power line structure (from ground) next class period



Calculus

p. 292 Change of Variables

p.294

p.297 (7-30)

Examples




Geometry

see above




Bridge

Finish Section 40

26 Apr 2018

Geometry

Testing

Calculus

study time  for tests

Geometry

Testing

Bridge

All students absent or taking make-up tests

25 Apr 2018

Geometry

Testing

Calculus

Continue last lesson

Geometry

Testing

Bridge

Continue Section 40

24 Apr 2018

Geometry

Testing



Calculus

page 272

(13 - 18)

Set up Integrals and interval and EVALUATE



Geometry

Testing



Bridge

Continue  Section 40

23 Apr 2018

EOC Testing

20 Dec 2018

Geometry

EOC review Handout - Formulas, etc.


Review at home:

Practice test - answers on last page.

Geometry Final Review 01 PDF

-------------------

Online Practice Test with answers.

Online Review 01 Part 01
Online Review 01 Part 02

-------------------

Note:  some questions (not many)  may be from sections we did not cover.

Handbook of Geometry Formulas, Theorems, and Strategies  (It's Yuuuuuge!!!)


The Ultimate Geometry Review Sheet  (with links to additional material)


Calculus


p. 338 (17-20;  29-40)

Geometry


Bridge

p.554 Section 40  Factoring Quadratic Equations

Notes, examples p. 554 - 565

p. 566 ( 9-80)

19 Apr 2018

Geometry

Finish work from yesterday:


7.2 Isosceles and Equilateral Triangles
LPT p.340 Answer all questions

7.1 Interior and Exterior Angles
LPT p.326 Answer all questions.

6.3 HL Triangle Congruence 

#15 p.301 (or 14)




Calculus

Continue taking notes and working examples from videos.

Geometry

see above

Bridge

Finish Section 39

18 Apr 2018

Geometry


8.2  Angle Bisectors of Triangles


LPT p.380  a,b,c.  (a - hint: find the intersection of all 3 angle bisectors; b - use the given formula; c - the area of the triangle minus the area of the irrigation "circle."


7.3 Triangle Inequalities


LPT p.352   Answer all questions.



7.2 Isosceles and Equilateral Triangles

LPT p.340  Answer all questions



7.1  Interior and Exterior Angles

LPT p.326  Answer all questions.



Calculus

Continue working and checking problems from videos




Geometry

see above


Bridge

Section 39  Solving Quadratics Graphically and Numerically  p.547

Notes and Examples p.547 - 551

Work (1-16) p.551

17 Apr 2018

Geometry

Fold and turn in yesterdays work.  Put name on papers.

8.4 Triangle Midsegment Theorem--  top of page 398.  Use it for...

LPT p. 404.  Find the lengths asked for and their sum.


8.3 Medians, Altitudes, and Centroids of Triangles

LPT p. 394  a,c,d.  (Centroids on page 383) Find the Centroid of each Triangle and then the midpoint of the line connecting them.

8.2  Angle Bisectors of Triangles

LPT p.380  a,b,c.  (a - hint: find the intersection of all 3 angle bisectors; b - use the given formula; c - the area of the triangle minus the area of the irrigation "circle."



Calculus


Section 5.3 Inverse Functions  p.  332-337

Notes and Examples





Derivative of an inverse function 01

Derivative of an inverse function 02

Derivative of an inverse function 03

Trig Inverses 01

Trig Inverses 02



Geometry

see above


Bridge

16 Apr 2018

Geometry


9.5  LPT p. 486
complete all questions; check

9.4 LPT  p.470
Complete, check

9.3  LPT  p. 458
Complete Check

9.2 LPT p. 446
Complete, check

9.1 LPT  p. 432
Complete check

Unfinished work is homework.  Tear out and turn in at beginning of class.


Calculus 

All students in EOC tests.  P.332 Sections 5.3  Inverse functions tomorrow.



Geometry

see above


Bridge


Finish last assignment

13 Apr 2018

Geometry

10.3   LPT p. 536  (answer all questions)

10. 2   LPT p.520  (answer all questions)
           p.519 (19)

10. 1   LPT p. 508 (answer all questions)


Calculus

Discuss the 2nd U-Substitution video.  Finish problems from p. 330



Geometry

see above

Bridge


Copy notes and work examples p.534 - 541

Work 1 - 20 p.542

12 Apr 2018

Geometry

LPT p. 564 (1-5)  (Vol 1???)

page 562 (15-17)

Copy Area Formulas p.550

page 546 (20, 21)


Calculus

Finish Problems from yesterday + U substitution videos + (7-20) p.330

Part 01

Part 02




Geometry

see above


Bridge

Finish Section 38

11 Apr 2018

Geometry

LPT p.600 (1-2)

page 585 (19, 20)



Calculus

5.2 Log Rules for Integrations p. 324

Examples p. 324 - 329

Example Video

p.330 (1-6)




Geometry

see above

Bridge

Continue Section 38

10 Apr 2018

Geometry

Turn in LPT p.674 (if needed)

Page 660 (17,18)

Page 640 (1-7)

LPT p. 622  (1-4)

page 620 (18)




Calculus

Add 45-55 p.322
 to yesterday's lesson; check


Geometry

see above


Bridge

Section 38 p.524  Graphing Quadratics

Notes and Examples p.525 - 530  work (1-14) p. 530

09 Apr 2018

Geometry



LPT p. 662 (1-4)

LPT    p.674  (1-4)


Calculus

Notes p. 314 - 320

Examples 1-8

Work (7-20)

Logarithmic Function

Exponential Function

Exponential Equations (solving)


Geometry

see above


Bridge

Finish Last Lesson

29 Mar 2018

Geometry

p. 694  (18 - 22)

LPT p. 696  (1, 2, 3)   Tangent Ratio


LPT 708  (1-4)


Calculus

Definite Integral Problems




Geometry

New Assigned Seating (10 Min)

No talking without permission until further notice.

see above


Bridge

Finish Section 41

28 Mar 2018

Geometry

Review of Prior Material.

LPT p.804 (a, b, c)

p.812 (18, 19)

LPT p.814  (1-4)

LPT p. 828  (a, b, c)


Calculus

Definite Integral Handout



Geometry

see above



Bridge

Pie Chart Handout

27 Mar 2018

Geometry

Note: Angle Relationships in Circles examples p. 834

page 842 LPT (a,b,c)

Note:  page 843 & 844 examples for page 847.

page 847 ((1-4) Complete, tear out, turn in.

page 850  (1-8)  Complete, tear out, turn in.





Calculus

page 285 ( 61-64)  Turn in.

Use example problems p. 277 - 283 to help solve problems.

Geometry

see above

Bridge

Section 41 Growth and Decay  p.568

Notes and Example p. 571 - 574

Work 1-9 p.574

26 Monday 2018

Geometry

review p.883 Arc Length and Sector Area

page 885 (1-4)  Complete, tear out and turn in.

page 900 (1-4) Complete, tear out, turn in

page 872 (1-3) Complete, tear out, turn in.



Calculus

Finding the area between curves




Problems


Geometry

see above


Bridge

23 Mar 2018

Geometry


Day Two ;  Equations of Circles

(see last lesson)


Calculus

Day Two: Definite Integrals

Geometry

see above

Bridge

22 Mar 2018

Geometry


G.GPE.A.1

Know and write the equation of a circle of given center and radius using the Pythagorean Theorem.

17.1  Equation of Circle  p. 889





Online Practice Problems (Khan)

Online Practice Problems






Work page 890 - 892

p. 896 (1-9;  14-16;






Day Two:

Work p. 893-894

p. 896  (10- 13;  17-23)





Calculus


Examples: Video

Definite Integrals 01

Definite Integrals 02



Geometry

see above


Bridge

20 Mar 2018

ACT Testing Today

19 Mar 2018

ACT Cram Sessions Today

16 Mar 2018

Geometry

G.GMD.A.1 


Note:  PI day activities moved - swap this lesson with yesterday's.

Give an informal argument for the formulas for the circumference of a circle and the volume and surface area of a cylinder, cone, prism, and pyramid.







p.932 ( 1- 12)

p.955 (2-10)


Calculus

Mean Value Theorem 

Part 2

Average Value Theorem

Second Fundamental Theorem of Calculus


p284 (5-10, 19,21,23,25)


Geometry

see above

Bridge

(Continue)
Section 39  Solving Quadratic Equations  p. 547

p. 547  - 551    Notes and Examples

p. 551 (1-16)

15 Mar 2018

Geometry

Note:  PI day activities moved - swap this lesson with tomorrow's.

Finish last set of problems.  Work the following LPT's:

872,  842,  814

Pi Day Activities

Calculus

Continue yesterday's assignment.  Groups put problems on board and check.


Geometry

see above

Bridge

Section 39  Solving Quadratic Equations  p. 547

p. 547  - 551    Notes and Examples

p. 551 (1-16)

13 Mar 2018

Geometry




16.2  Arc Length and Radian Measure  p.862





Finding Arc Length


Discuss how each side could have been multiplied by 2 to leave 180 on the left and pi on the right...


Arc length of concentric circles



Apply lengths ro a segment AX and CX and see what an actual comparison would look like.
change 90 degrees to radians

More Examples




Page 867 (1 - 16, 18-26)


Calculus

4.3 Definite Integrals  p.267





Stillwater Calculus Definite Integral - Def. and Examples

p.272 (3-33)




Geometry

see above




Bridge


Section 38 Graphing Quadratics  p.525

Notes p. 525 - 530

Work (1-12)

09 Mar 2018

Geometry

G.C.B.4 

Know the formula and find the area of a sector of a circle in a real-world context. 






16.3 Sector Area  p.873


Work p. 876  (3-22)



Calculus

4.2 Sigma Notation  p.253

Why we need Sigma Notation...







Sigma Notation








p.262 (25-29)





Geometry

see above


Bridge


Finish last assignment's problems.

08 Mar 2018

Geometry

 G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

15.4 Segment Relationships in Circles  p. 815

p.823 (5-21; LPT 828)





Calculus

Continue with last lesson...

CH. 4.1  Antiderivatives ---  Integration

p.242 - 248


Examples 01

Examples 02

Integration Rules p. 244

p.249 (15-42)






Geometry

see above



Bridge


Continue last lesson's problems.

07 Mar 2018

Geometry

15 Min - finish problems from last lesson.

 G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.















Work a few Chord-chord interior angle problems on board.


 15.5 Angle Relationships in Circles p.829

p. 836 Work (1- 20; LPT p.842)






Calculus

CH. 4.1  Antiderivatives ---  Integration

p.242 - 248


Examples 01

Examples 02

Integration Rules p. 244

p.249 (15-42)




Geometry

see above




Bridge

Section 37  Linear Inequalities p. 515


Notes p. 515 - 521

p. 521 (1- 70)

06 March 2018

Geometry


 G.C.A.2
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.









15.1 Central Angles and Inscribed Angles  p.779

Notes:  p.779, 780,781, 782, 785  Central Angles, Chords, Arcs, etc.

p.786 ( 1-21;



Calculus

Continue working problems in groups

p.217 (23, 26, 33, 55)


Geometry

see above




Bridge

Section 36 Part II  p.493

Notes, Examples p. 493-498

Work (1-6) p.499

05 Mar 2018

Geometry




Go step by step to work proof on p.636    [#2 (p.632-633)]




Take notes and work through the Theorem below:






Calculus

Optimization Problems p. 211  -  215

Examples 01


Examples 02


Work (18-20) p.216/217




Geometry

see above



Bridge

No Students  today - moved assignment to next lesson.

02 Mar 2018

Geometry
Computer Lab - finish Quizzes Modules 01-03


Calculus
Finish last assignment


Geometry
see above


Bridge

Finish last assignment

01 Mar 2018

Geometry

G.SRT.B.4 

Prove theorems about similar triangles.

Theorems include but are not limited to: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. 







Text p. 632, p. 634

p.636 #2 (p.632-633)

p.637 (3-16)





Calculus

p. 170  Mean Value Theorem  3.2






Examples 3 &4

p. 172 (31-40; 43)


Geometry

see above




Bridge

Section 36  Inequalities  p.480

Notes & Examples p 480 - 487

Work (1-10)  p.488

28 Feb 2018

Geometry
Finish last lesson (worksheet from last class)

Calculus


Geometry
see above

Bridge

27 Feb 2018

Geometry

Finish yesterday's lesson.



       G.CO.B.6 

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

Properties of Transformations 1

Work problems with students and then they finish in groups.



 Properties of Transformations 2

Work problems with students and then they finish in groups.




Geometry Resources



Calculus


Continue with yesterdays' lesson


Geometry

see above



Bridge

Finish yesterday's lesson, Section 34.

26 Feb 2018

Geometry 

07)  G.CO.A.5 

Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.

Rotations  1A

Work Problems from page 1 together, finish page 2 in your groups.


Reflections 1A

Work Problems from page 1 together, finish page 2 in your groups.


Translations 1A

Work Problems from page 1 together, finish page 2 in your groups.





G.C.O.A.5 Resource.






 Calculus 

3.1 Extrema  p.160

Notes p. 160, 161, 162, guidelines p. 163.




2nd Derivatives, Concavity, extrema:

Part 01

Part 02

Work 1-30 p.165





 Geometry 

see above




 Bridge

23 Feb 2018

Geometry

Continue with yesterday's lesson.

Finish and check worksheets.




Calculus

C.D.AD.C.15 Model rates of change, including related rates problems. In each case, include a discussion of units.

Related Rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known. The rate of change is usually with respect to time. Because science and engineering often relate quantities to each other, the methods of related rates have broad applications in these fields. Because problems involve several variables, differentiation with respect to time or one of the other variables requires application of the chain rule.


p.144  Related Rates (Continued)

p.144 - 148

---Day One---

Related Rates 01

Related Rates 02

Work (1,2,15,16)

---Day Two---





Verbal to Mathematical Statements p146

Work thru Examples 3, 4, 5 p.146/147 as time allows.

Related Rates 03

Related Rates 04

Working (24) p.149  and  (35) p.151  include diagrams and all side equations.

Students check answers for correctness against one another or in solution manual.

Students turn in a related rate problems at end of class to be evaluated for correctness.

Ref:  Paul's Math Notes - Related Rates

Geometry

see above




Geometry



Bridge

22 Feb 2018

Geometry

 G.MG.A.2 

Apply geometric methods to solve real-world problems.

Geometric methods may include but are not limited to using geometric shapes, the probability of a shaded region, density, and design problems.

Video:
Density Practice Problems

Find the Area of the Shaded Region

Area of Shaded Region Concentric Circles

Worked Practice Problems:
Finding Areas of Shaded Regions between Polygons & Circles


Practice:
Shaded areas (practice) | Area | Khan Academy

Worksheets:
Area of shaded Region
Concentric Circles Problems
Density Problems




Calculus


Continue to work problems from yesterday.

Short Chain Rule Quiz involving Trig.





Bridge

Continue last lesson.

21 Feb 2018

Geometry

G.SRT.A.1 

Verify informally the properties of dilations given by a center and a scale factor. 

Properties include but are not limited to: a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center of the dilation unchanged; the dilation of a line segment is longer or shorter in the ratio given by the scale factor.


Video:
How Do I Dilate a Figure? | Common Core Geometry Transformations

Video 6 Dilations Not Centered at the Origin 

Text; p.579- 581

Work (4-20) p.582

Worksheet 01  Work R or F as HW.


Calculus

p.144  Related Rates

p.144 - 148

Related Rates 01

Related Rates 02

Related Rates 03

Related Rates 04

Work (1,2; 15-20) p.149

Geometry

see above



Bridge

Section 33  p.447

Notes and Examples p. 447 - 452

Work (1- 46) p.453

20 Feb 2018

Day 21


Geometry


G.SRT.A.2 

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Introduction to Similar Polygons and Similar Triangles

Missing Measurements for Similar Triangles

Problems:
Similar Figures - Missing Sides, etc.

Similar Triangles


Text, p. 603 - 605

Work (5-16) p.606




Calculus

Implicit Differentiation  p.138

p.138 - 141





Stillwater Calculus:  Implicit Diff.







p.142  Work (1-16; 21-25)

Geometry

see above



Bridge


Finish last section

16 Feb 2018

Day 20


Geometry


Construct Perpendicular Bisector of Line Segment  (watch vid, work out on paper and turn in.  Bisect a 3, 4 and 5 inch segment)




Construct Angle Bisector  (watch vid, work out on paper and turn in.  Bisect a 20, 45 and 120 degree angle)


"Yo, yo, yo..."  Lol!



Lesson Performance Tasks

4.4

4.3

4.2

Calculus

Notes p. 132
Examples 9-12
Work p.133(33,34; 47-60)
Check


Geometry

see above



Bridge

Section 32  Exp. Log., and Quadratic Functions

Notes & Examples p. 431 - 441

Work (1-40) p.442

15 Feb 2018

Day 19


Geometry

7.3 Triangle Inequalities   p. 341

Theorem p. 342







Work through p. 342 to p. 344


Note p. 345 side length - angle relationship

Work through p. 346

Work (1 - 17) p. 348




Calculus

Quiz



Geometry

see above





Bridge

All class gone on Gear Up Trip

Geometry Standards

MrStanislow - All Circle Videos

01) G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.



Videos:

Central Angles

Inscribed Angles

Circles - Secant - Secant Angles

Circles - Tangent - Secant Segments

Circles - Tangent - Tangent Angles

Circles - Tangent - Secant Angles

Circles - Tangent - Chord Angles





Notes 


Item 01

Item 02

Item 03



02) G.C.B.4 

Know the formula and find the area of a sector of a circle in a real-world context. 

Videos:

Circles - Sector Area

Circles - Sector Area 2


Practice:

Area of a sector (practice) | Sectors | Khan Academy

IXL - Area of sectors (Geometry practice)




Quiz & Worksheet - Practice Finding the Area of a Sector | Study.com

Extra:
Area of a Sector in a Circle Worksheet | Problems & Solutions



03) G.CO.C.11 

Prove theorems about parallelograms.

Proving includes, but is not limited to, completing partial proofs; constructing two-column or paragraph proofs; using transformations to prove theorems; analyzing proofs; and critiquing completed proofs. 

Theorems include but are not limited to: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.


Parallelogram Theorems Overview

Proving a Quadrilateral is a Parallelogram: Examples

Parallelograms 4 Theorems




04) G.GMD.A.1 

Give an informal argument for the formulas for the circumference of a circle and the volume and surface area of a cylinder, cone, prism, and pyramid.

Video:
Introduction to Circles - radius, diameter, circumference and area of a circle

Multiple Practice PDFs:
Circumference and Area of Circle Worksheets

Circumference and Area Practice Problems


Videos:
Volume & Surface Area of a Cylinder

Volume and Surface Area of Prisms

Volume and Surface Area of Cones

Multiple Generated Worksheets
Geometry Worksheets | Surface Area & Volume Worksheets

Surface Area and Volume - Prisms, Cyl, Pyramids

Surface Area and Vol Pyramids and Cones











05)  G.GPE.A.1

Know and write the equation of a circle of given center and radius using the Pythagorean Theorem.

Equation for a circle using the Pythagorean Theorem | Circles | Geometry | Khan Academy


Practice:
Features of a circle from its standard equation | Analytic geometry (practice) | Khan Academy

Circle Equation Practice - MathBitsNotebook(Geo - CCSS Math)



Problems:
Graphing with Center/Radius Form

Graphing and Properties of Circles

Center/Radius Quiz




06)  G.MG.A.2 

Apply geometric methods to solve real-world problems.

Geometric methods may include but are not limited to using geometric shapes, the probability of a shaded region, density, and design problems.

Video:
Density Practice Problems

Find the Area of the Shaded Region

Area of Shaded Region Concentric Circles

Worked Practice Problems:
Finding Areas of Shaded Regions between Polygons & Circles


Practice:
Shaded areas (practice) | Area | Khan Academy

Worksheets:
Area of shaded Region



07)  G.CO.A.5 

Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.

Rotations  1A

Work Problems from page 1 together, finish page 2 in your groups.


Reflections 1A

Work Problems from page 1 together, finish page 2 in your groups.


Translations 1A

Work Problems from page 1 together, finish page 2 in your groups.





G.C.O.A.5 Resource.







       G.CO.B.6 

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

Properties of Transformations 1

Work problems with students and then they finish in groups.



 Properties of Transformations 2

Work problems with students and then they finish in groups.




Geometry Resources





08)  G.SRT.B.4 

Prove theorems about similar triangles.

Proving includes, but is not limited to, completing partial proofs; constructing two-column or paragraph proofs; using transformations to prove theorems; analyzing proofs; and critiquing completed proofs. 

Theorems include but are not limited to: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. 


      G.SRT.B.5 

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.




09)  G.SRT.A.1 

Verify informally the properties of dilations given by a center and a scale factor.

Properties include but are not limited to: a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center of the dilation unchanged; the dilation of a line segment is longer or shorter in the ratio given by the scale factor.


Video:
How Do I Dilate a Figure? | Common Core Geometry Transformations

Video 6 Dilations Not Centered at the Origin 

Text; p.579- 581

Work (4-13) p.582



      G.SRT.A.2 

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.



Introduction to Similar Polygons and Similar Triangles

Missing Measurements for Similar Triangles

Problems:
Similar Figures - Missing Sides, etc.

Similar Triangles


Text, p. 603 - 605

Work (5-16) p.606

14 Feb 2018

Day 18

Geometry

7.1 Interior and Exterior Angles (of geometric shapes) p.313

Video: Using Interior Angles

Video: Using Exterior Angles

p.314  Fill in chart - is there a pattern?  What is the pattern to find the sum of Interior angles?

What is a remote exterior angle  (p.317)??

Work Through Problems p.318-319

Work (8-15) p. 321/322

7.2  Isosceles and Equilateral Triangles  p.327

Video: Using Properties of Isosceles and Equilateral Triangles.

Classwork/Homework p. 334 (4-11; 16)





Calculus

AP Calculus Stillwater - Chain Rule with Trig - Part 2

Continue working problems from last two assignments.



Geometry

see above




Bridge

Section 31 Part 2 p. 419

Notes and Examples p. 419 - 425

Work (1-9) p. 425

13 Feb 2018

Day 17

Geometry

6.2 Angle-Angle Side Congruence p.283

Applying AAS Congruence

Work through p.286-287

p.290-291 (1-6; 15)


6.3 HL Triangle Congruence  p.295

Applying HL Congruence

p.298 (2-5; 10,11)


If there is time, students can use laptops to work on online quizzes.



Calculus


2.3  Derivatives of Trig Functions p.121

Short review of Trig Functions








Watch at home:




Periodic Function Derivatives

Video Examples 01 - Basic Trig Derivatives

Video Examples 02 - Chain Rule with Trig

p. 124 ( 39- 50)



Geometry

see above



Bridge

Section 31 Average Rate of Change p. 412

Notes and Examples p.413 - 416

Work p.416 (1-9)

12 Feb 2018

Day 16

Geometry

5.4  SSS Triangle Congruence  p.255

Quick look at p.255

Proving Triangles Congruent Using SSS

Applying Triangle Congruence (word probs)

Work through p.259-260

Starting p. 261 (1-14)

Try laptops - work on quizes (Last 25 min)

Calculus

2.4  Chain Rule  p.127 -131

Composition of functions - put a quick example on board

Video Examples 01


Video Examples 02


p. 133   Work  (1-25)


Geometry

see above



Bridge

Work examples and notes p. 406-409
work (1-2) p.409-411

06 Feb 2018

Day 15

Geometry

5.2   ASA Triangle Congruence  p.231

Applying ASA Congruence

Using ASA Congruence

p.237 (1-6; 10,11)




5.3 SAS Triangle Congruence  p.245

Triangle Congruence Using SAS


p.250 (2-7; 10-13)


Using SAS in a Proof  (optonal)



Calculus

p.115 #91

2.3 Product Rule and Quotient Rule p. 117

Video 01

Video 02

Video 03

p.124 (1-38)







Geometry

see above



Bridge

05 Feb 2018

Day 14


Geometry

Construct Perpendicular Bisector of Line Segment  (watch vid, work out on paper and turn in.  Bisect a 3, 4 and 5 inch segment)




Construct Angle Bisector  (watch vid, work out on paper and turn in.  Bisect a 20, 45 and 120 degree angle)


"Yo, yo, yo..."  Lol!



Lesson Performance Tasks

4.4

4.3

4.2

Calculus

Short review:





 Continue working and checking derivative problems from last lesson.


p. 113 (3-18;  39- 48)






Geometry

see above


Bridge


Examples and Notes p. 397 -402

Work (1-6 ) p.402-405

02 Feb 2018

Day 13


Geometry

4.4 Perpendicular Lines

Text



p. 196/197 Perpendicular Bisector Theorem, Converse






4.5 Equations of Parallel and Perpendicular Lines

Text

Use the problem below to teach the concept.  Work ahead of it in steps and use it to check for correctness.


Note: review Pt./Slope Form of Line




p. 209  (1-10; 11, 16)



Calculus

2.2 Basic Differentiation Rules and Rates of Change p. 105

Notes and Examples p. 105 - 110

Power Rule




p. 113 (3-18;  39- 48)



Geometry

See above

Bridge

Examples and Notes p. 397 -402

Work (1-6 ) p.402-405

01 Feb 2018

Day 12

Geometry

Proving Lines Are Parallel p. 185

Note the rules and converse rules...

also, see p. 186

Work p. 190-193  (1- 11)

Calculus

Ch 2.1 The Derivative and the Tangent Line Problem p. 94







Read p. 94 - 101  Examples & Notes

p. 102 (5-24;  39-42)

Note:  The Wolfram Demonstrations Project:  Tangent Line Project.

Geometry

see above

Bridge

Finish yesterday's lesson.

31 Jan 2018

Day 11


Geometry
4.1  Angles Formed By Crossing Lines mp. 163

Text







P. 164 Vertical Angle theorem
Work (1-12)  p. 169-170


4.2    Transversals and Parallel Lines p.175




Notes-  Corresponding, Alternate Interior, Alternate Exterior, Same-Side Interior Angles

Work a few examples of solving equations using properties of Parallel Lines & Transversals

Explain that any combination of two angles is either two supplementary angles or two angles of the same measure.

p. 180 - 182  (1-17)







Calculus


p. 80  Infinite Limits

Introduction video

page 85 Problems 1 - 28 Work and discuss.





Geometry

See Above


Bridge

Section 30 Linear Functions  p. 385


Notes and Examples p. 385 - 391

Work problems (1-11) p.391

30 Jan 2018

School called due to snow.

29 Jan 2018

Day 10

Geometry

3.3 Corresponding Parts of Congruent Figures are Congruent. p.139

CPCFC

Applying Properties of Congruence

Using CPCFC

Work Examples and problems p. 140 - 143

Classwork/HW  p. 144 (1-9; 15)




Calculus

Continue Section 1.3

Work (5 - 24) p. 65


Geometry

see above


Bridge

Finish Section 29

26 Jan 2018

Day 09


Geometry

Section 3.1 Sequences of Transformations p.115

Text

Combining Rigid Transformations

Combining non-Rigid Transformations

Predicting the Effect of Transformations

Work Ex 02 - #8 - 12 p.118-119

Work 1-6 p. 122

Section 3.2 Proving Figures Congruent using Transformations

Text

Determining if Figures are Congruent

Finding a Sequence of Rigid Motions

Work problems p. 129


Work problems p. 131




Calculus

Notes and Examples p. 61 to 64

Copy the math in Ex 7 p. 61 and Theorems 1.8 &1.9 p.63



Dividing out Technique




Rationalizing Technique



Squeeze Theorem


Video




Geometry

see above




Bridge

Section 29 Linear Equations

p.370-381  Notes and Examples

Work 1-65 ODD p. 381

25 Jan 2018

Day 08

Geometry

Discuss symmetry, Review: work 18, 19 p. 71; 18-20 p. 83; 17, 18 p. 98

Pass out usernames and passwords for my.hrw.com.  Show them how to log in, change password, and find assignments.




Calculus

Continue working limit problems and examples


Geometry

see above


Bridge

Finish Section 28

24 Jan 2018

Day 07

Geometry

Continue yesterday's assignment

Review: Reflections  #22p.84


2.3 Rotations p. 87

Rotations on the Coordinate Plane

Specifying Rotation Angles

(Ex 2 - #8 )p.90 -92

Work (5-11; 14-15) p.95-97

Hand out my.hrw.com usernames and temp passwords.  Have a student log in on smartboard and set up password, etc, so class will know how to do it.



Calculus

Limits, continued p.57

Properties of Limits, p. 57 notes through page 60 (all the blue boxes, folks.

Examples 1 - 6

Work 1 - 30 ) p. 65










Geometry

see above



Bridge

continue last lesson.