Monday, March 16, 2020

Geometry; 3/13

We introduced the first of two special right triangles today:  the 45-45-90 triangle.  We went through 4-5 example problems to demonstrate the pattern of calculations found within this type of triangle.  The students then took their perfect squares and simplifying radicals quiz. 

Assignment:  Special Right Triangles WS #1

Geometry 10-12; 3/13

The students took the trig. ratio quiz in class today.

Assignment:  none

Honors Algebra 2; 3/13

We concluded our work with geometric series today by taking a look at how the summation formula can be used to determine the value of monthly payments for a variety of loan types.  We went over a couple of problems together before the students got started working on their review for the quiz on Monday.


Assignment:  Arithmetic and Geometric Sequences and Series Review WS

Geometry; 3/12

We worked through the use of the converse of the pythagorean theorem today.  We used it to classify triangles as well as to determine the area and perimeter of a variety of types of figures.


Assignment:  Converse of Pythagorean Thm. WS

Geometry 10-12; 3/12

We reviewed the various aspects of the trig ratios that we have covered these past two weeks through 4-5 problems together.  The students then got started on their trig. ratio quiz review.  The answers will be posted on canvas to check before the quiz tomorrow.

Assignment:  Trig Ratio Quiz Review

Honors Algebra 2; 3/12

We continued our work with geometric series today by taking a look at how to determine the sum of these sequences and the calculations they involve.


Assignment:  page 347-348,  #28-36, 40-42

Geometry; 3/11

We started our study of right triangles today by taking a look at the Pythagorean Theorem, its history, and the various types of problems that can be solved with it.  We took a look at a short youtube video before working through 3-4 problems together.  The students then got started on their assignment.

Assignment:  Pythagorean Thm. WS

Wednesday, March 11, 2020

Geometry 10-12; 3/11

Today's lesson was involved with learning how to completely solve a right triangle.  We used all the trig ratios, their inverses, and the pythagorean thm. when necessary.  These multistep problem are one that show a person's complete knowledge of how to use the 3 trig ratios.

Assignment:  Solving Right Triangles WS

Honors Algebra 2; 3/11

We continued our work with sequences and series today by taking a look at geometric sequences.  The goal of this task is to find a common ratio and then to construct recursive and explicit formulas using it.  We went through 4-5 examples together before the students got started on their assignment.


Assignment: 

Tuesday, March 10, 2020

Geometry; 3/10

We continued our work with radicals today by going over 3 different operations with radicals.  We demonstrated how to multiply and divide with radicals, and how to rationalize a denominator.  These algebra skills will also be used quite a bit as we move forward in this unit.


Assignment:  Working with Radicals WS

Geometry 10-12; 3/10

Today's lesson was the first one involving the inverse trig functions.  We went over how to use the inverse sine to determine angle measures.  A big part of this lesson was learning how to use the calculators to find the inverse sine of a ratio.  After 5-6 examples together, the students got started on their assignment.


Assignment:  Inverse Sine WS

Honors Algebra 2; 3/10

We continued our work with sequences and series today by taking a look at what a series is and how to work with the summation notation.  We got familiar with a few more problem types and notation before the students got started on their assignment.


Assignment:  page 37-39;  #2, 4, 11, 13, 14, 16, 17, 27-31, 33, 35-37

Geometry; 3/9

We started our unit on right triangles today by reviewing some concepts involving simplifying radicals and working with perfect squares.  These algebra concepts will be used heavily as we work with right triangles during the upcoming unit.


Assignment:  Simplifying Radicals WS

Geometry 10-12; 3/9

Today's lesson involved working with the tangent ratio, and continuing the practice with the sine and cosine.  We went through 5-6 examples together before getting started on the assignment.


Assignment:  Tangent WS

Honors Algebra 2; 3/9

We will be working on a mini-unit this week involving sequences and series of numbers.  We went through a lesson involving arithmetic sequences today and demonstrated how to find the common difference between terms.  The students also learned how to write recursive and explicit rules for arithmetic sequences.


Assignment:  page 37-39;  #3, 5-10, 12, 15, 18-26

Geometry 10-12; 3/6

Our trig ratio lesson today took us to the cosine ratio.  We went through how to determine this ratio and how to determine the difference between the sine and the cosine.  The students then got started on their assignment.


Assignment:  Cosine Ratio WS

Honors Algebra 2; 3/6

The students took the logs and exponentials test in class today.


Assignment:  none

Geometry; 3/5

The students worked in pairs today as they went through 4 sets of review problems in preparation for tomorrow's test.  During the 2nd half of the period, the students got their unit review assignment and started working on that.


Assignment:  Topic 7 review

Geometry 10-12; 3/5

We introduced the process of working with trig ratios today in class.  We went over the sine ratio in particular and demonstrated how to both use the calculators and the reference tables in working with sine problems. 


Assignment:  Sine Ratio WS

Honors Algebra 2; 3/5

We went over the homework today and then spent the rest of the time reviewing for the unit test tomorrow.  We specifically went over the different ways to graph exponentials and logs.


Assignment:  Exponents and Logs Review

Tuesday, March 3, 2020

Geometry; 3/3

We worked more on dilations today, going over how to compose them with other transformations that we have previously studied.  We went over 4-5 examples together before getting started on the assignment.


Assignment:  topic 7-1;  page 314-315;  #5-7, 15-20

Geometry 10-12; 3/3

The students took the chapter 7 quiz in class today.


Assignment:  none

Honors Algebra 2; 3/3

We continued to work on solving equations involving logs and exponents in today's lesson.  We went over 2-3 application problems in the course of the lesson, demonstrating how to build an exponential equation from data provided. 


Assignment:  solving logs/exp. WS +  page 337-339;  #9, 12, 28, 41

Monday, March 2, 2020

Geometry; 3/2

Our lesson today focused on working with dilations that were not centered at the origin.  We went through 2-3 examples of how to carry out these types of problems together.  The lesson also included an explanation of how the scale factor of a figure is related to the area ratio between the two figures.


Assignment:  topic 7-1;  page 307-308;  #2, 6, 7-10, 17-22;    page 341;  #10-15

Geometry 10-12; 3/2

Today was a review day in preparation for tomorrow's quiz.  We went over the combinations of special right triangles, as well as going back through a problem involving the area and perimeters of polygons.


Assignment:  Chapter 7 Quiz Review

Honors Algebra 2; 3/2

Our lesson today focused on more aspects of solving equations using the properties of logs and exponents.  We went over 4-5 examples together of either common base or different base problems.

Assignment:  topic 6-6;  page 337-338;  #4-8, 11, 15-27, 29-37 odd

Geometry; 2/28

The lesson today focused on a similarity transformation:  dilations.  We went over how to read the notation for dilations and how to graph points on the axes using the provided scale factor.  We also worked on how to determine the scale factor given a drawing or coordinates.


Assignment:  Dilations WS

Geometry 10-12; 2/28

We continued our work with special right triangles today by taking a look at how to do problems that involve rationalizing the denominator.  We went over 3-4 together before the students got started on their homework.

Assignment:  Special Right Triangles WS #2

Honors Algebra 2; 2/28

We went over a couple of application problems involving determining the time involved in finance problems.  These types of problems are now possible due to being able to use the properties of logs and exponentials.

Assignment:   Topic 6.5 WS  Logs and Exponentials

Geometry; 2/27

The lesson today focused on how to prove lines parallel from various similarity drawings.  We went over 4-5 examples together, as well as worked on problems involving factoring of polynomials in similarity problems.


Assignment:  proportions in figures WS #2  +  page 338-339;  #17-23

Geometry 10-12; 2/27

The lesson today focused on how to work with special right triangles.  We went over the patterns involved with 45-45-90 triangles and 30-60-90 triangles. 


Assignment:  Special Right Triangles WS #1

Honors Algebra 2; 2/27

Today's lesson focused on the various properties of logs that  can be used to solve problems.  We went over the properties of products, quotients, and powers together in our lesson.  The students also learned how to expand and condense log equations.



Assignment:  topic 6-5;  page 330-331;  #4-7, 13-29