Monday, September 30, 2019

Geometry; 9/30

Today's algebra review involved how to graph linear equations and how to solve equations involving a variety of fractions.  We went over 4-5 examples together before the students got started on their review.

Assignment:  Graphing Linear Equations WS

Geometry 10-12; 9/30

Today's lesson focused on the phrases used in working with deductive reasoning.  These conditional statements are ones that we will use quite a bit in this particular unit.  We went over if...then statements and their converses.  We pointed out how to determine the hypothesis and the conclusion of each statement that we work with.  We also explained how to evaluate each statement for its truth, and to provide a counterexample if the statement is false.


Assignment:  Conditional Statements WS

Honors Algebra 2; 9/30

We continued to work with the quadratic formula today and used the discriminant to determine the types of x-intercepts that the graph will possess.  We went through 3-4 examples together before getting started on the assignment.


Assignment:  Quadratic Formula WS +  page 115-116;  #32-34, 36

Geometry; 9/27

We spent time today getting ready for some of the algebra topics that will be covered in the next unit in geometry.  We worked through how to evaluate different line equations today.  The slope-intercept form, the standard form, and the point slope form were the three lines equations that we worked on today.


Assignment:  Linear Equations Review

Geometry 10-12; 9/27

We introduced the concept of deductive reasoning is today and compared it to what we had learned about inductive reasoning earlier.  We then explained how to work through some logic puzzles using deductive reasoning.  The students then got to work on solving several of these logic puzzles.


Assignment:  Logic Puzzles Packet

Honors Algebra 2; 9/27

Our lesson today focused on how to use the quadratic formula and the discriminant to predict the types of solutions a quadratic will have.  We went over 3-4 examples of how to do this together before getting started with the homework.


Assignment:    Topic 2-6;  page 114-115;  #5-8; 10-12;  16-31

Thursday, September 26, 2019

Geometry; 9/26

The students took the Topic 1 Test in class today.


Assignment:  none

Geometry 10-12; 9/26

We started our second unit today by talking about the different types of reasoning that are used to solve problems.  Today's topic was inductive reasoning.  We showed how to identify number and shape patterns in order to come up with a conjecture.  We also showed how to disprove a conjecture by coming up with a counterexamples.  We went through 4-5 examples together before the students got started on their assignment.


Assignment:  Section 2.1A  WS

Honors Algebra 2; 9/26

We continued our work with quadratics today by taking a look at how to work with complex numbers.  We introduced the concept of imaginary numbers and where they fit into the greater scheme of number systems that can be studied.  The goal today was to go over the different operations that students can perform using complex numbers.  We went over addition, subtraction, multiplication, and division.

Assignment:  topic 2-4;  page 99-100;  #5, 6, 11, 12, 14-33

Wednesday, September 25, 2019

Geometry; 9/25

We went over a couple more proofs today in preparation for tomorrow's test.  We also went over a few problems involving distance, midpoint, and partial distances between points.  All of these will be on the chapter 1 test tomorrow.


Assignment:  Chapter 1 Test Review

Geometry 10-12; 9/25

The students took the chapter 1 test today in class.


Assignment:  none

Honors Algebra 2; 9/25

The students took the topic 2 quiz today.


Assignment:  none

Geometry; 9/24

We continued our work with geometric proofs today by taking a look at proofs involving complementary angles and perpendicular lines.  We also went over a few angle pair calculation problems.

Assignment:  Proofs Practice #2

Geometry 10-12; 9/24

Today was a review day for the chapter 1 test.  We went over 3-4 commonly missed problem types to begin class with.  The students then spent the rest of the period working through their reviews for the test tomorrow.


Assignment:  Chapter 1 Test Review

Honors Algebra 2; 9/24

We spent time today going over several homework questions to begin the period.  The students then spent the rest of the time working on their review for the topic 2 quiz tomorrow.


Assignment:  Topic 2 Quiz Review

Monday, September 23, 2019

Geometry; 9/23

We continued our work with geometric proofs today by taking a look a three more proofs together.  The students then got to work on their assignment which involved both geometric and algebraic proofs.

Assignment:  Proofs Practice WS #1

Geometry 10-12; 9/23

We continued our work with area and perimeter today by taking a look at how word problems with these two values can be handled.  We went over 3 problem types together before getting started on our assignment.


Assignment:  Section 1.7B assignment

Honors Algebra 2; 9/23

We continued to work with quadratics today and the use of factoring to determine their x-intercepts.  We went over 3-4 application type problems as well to show how points can be used to determine the equations of quadratics.


Assignment:  Topic 2.3 worksheet +  page 92-93;  #9, 30, 37-39, 41

Friday, September 20, 2019

Geometry; 9/20

We went through 3 geometric proofs today in our introduction to this process of working with proofs.  We also showed how the vertical angles theorem works and how it can be used to solve calculation problems. 


Assignment:  Topic 1-7;  page 56;  #9, 10, 14-17

Geometry 10-12; 9/20

The lesson today focused on determining the area and perimeter of some common figures.  We reminded the students of some common formulas and reviewed how to use them in various types of problems.


Assignment:  Section 1.7 WS

Honors Algebra 2; 9/20

The lesson today focused on how to use the factored form of the quadratic equation.  We have covered factoring already in our initial review unit, so factoring the quadratics should come pretty quickly.  The factored form allows students to quickly find the x-intercepts for the graphs.  With the vertex being able to be located using the values for a and b, the x-intercepts can then be used to graph the entire function.  We went over a couple of examples together before getting started on the assignment.


Assignment:  lesson 2-3;  page 92-93;  #2, 5-8, 11, 12, 14-29

Thursday, September 19, 2019

Geometry; 9/19

We began the process of learning how to work proofs today by working through some algebra proofs.  We learned the two column proof method and went over the different properties of algebra that we will be using to solve the proofs.

Assignment:  Algebra proofs WS +  lesson 1-5;  page 42;  #26-32

Geometry 10-12; 9/19

We worked on an activity involving polygons and communicating the difference between them today.  The desmos activity that we used partnered students with other students in order to send clues to each other in order to determine a particular shape.  The goal was to solve the puzzle in the least amount of steps.  This gave the students practice using the terms and shapes of the various polygons.  The students then got started on their assignment at the end of the period.


Assignment:  Polygons and Angle Practice WS

Honors Algebra 2; 9/19

Our lesson today focused on how to use the standard form of the quadratic in order to construct a graph.  We went over how to determine the vertex using the three coefficients from the standard form.  We then did a couple of application problems together before getting started on the assignment.

Assignment:  lesson 2-2;  page 85;  #5-8, 10, 11, 15-22, 27

Wednesday, September 18, 2019

Geometry; 9/18

The lesson today focused on the specific phrases and vocabulary words involved in the use of deductive reasoning in geometry.  We went through how to work with if...then statements, along with the converse, inverse, and contrapositive of what the original statements are.  We demonstrated again what counterexamples are, and also how a biconditional statement is written.


Assignment:  Conditional Statements WS

Geometry 10-12; 9/18

The lesson today focused on combining angles and sides into various shapes known as polygons.  We went through our notes of classifying polygons by their number of sides and what the difference between concave and convex is.  The students also learned the meaning of equilateral, equiangular, and regular and they relate to polygons.


Assignment:  Section 1.6 WS

Honors Algebra 2; 9/18

We began working today with the vertex and the standard form of the quadratic equation.  We showed how to convert back and forth between the two, and how to use just two points to come up with the equation to a parabola.  After a few examples together of each, the students got started on their assignment.


Assignment:  Topic 2-2;  page 77-78,  #2, 4, 7-15, 26-31

Geometry; 9/17

Today was spent doing a 3-Act math activity online called Mystery Spokes.  This is assigned through our envision class online.  The students were learning about deductive reasoning to solve 4 different types of problems.  Once they were finished with the online activity, the students then started on their assignment of working through 10 logic puzzles.


Assignment:  Logic Puzzle packet

Geometry 10-12; 9/17

We spent another day today working on angle pair relationships and how they can be used to solve problems with either one or two variables.  We went over a few examples together showing vertical angles, supplementary angles, complementary angles, and linear pairs.  The students then got started on their assignment.


Assignment:  Section 1.5B WS

Honors Algebra 2; 9/17

We worked on the concept of transformations of functions today.  We focused mainly on parabolas, and we went over how to work from the equation to graph the function and list the items on the data set.  We went over 2-3 examples together before the students got started on their assignment.


Assignment:  Transformations worksheet

Monday, September 16, 2019

Geometry; 9/16

The students took the topic 1 quiz in class today.


Assignment:  none

Geometry 10-12; 9/16

The students got back their chapter 1 quiz today in class.  Our lesson focused on working with different types of angle pairs.  We went over 5 different types of angle pairs and how to interpret their drawings so the necessary calculations can be done.


Assignment:  Section 1.5A WS

Honors Algebra 2; 9/16

The students got back their unit 1 test today and were able to take a look at any mistakes they had made.  Our lesson today was on transformations of functions.  We reviewed some geometry terms and related them to what we will be working on in algebra 2.  The main part of the lesson was how to interpret the shape of the graph based on the makeup of the equation.  We went over horizontal and vertical changes, compressions and stretches, and reflections.

Assignment:  lesson 1-2;  page 20,  #4-12;   page 21;  14, 16, 18-21, 24-27

Friday, September 13, 2019

Geometry; 9/13

We went over our homework at the beginning of the period before reviewing 2-3 questions that will be on the quiz on Monday.  The students then got to work on their review for the topic 1 quiz.

Assignment:  topic 1 quiz review;  page 64;  #9-13;  page 65;  #22-26;   page 66;  #27-32, 34

Geometry 10-12; 9/13

The students took the chapter 1 quiz in class today.

Assignment:  none

Honors Algebra 2; 9/13

We spent time today working on all the parent functions that we have discussed in class so far, making a table showing their graphs and specific function information.  The students then worked on an exploration activity involving parabolas.

Assignment:  Quadratics Exploration

Thursday, September 12, 2019

Geometry; 9/12

We spent some time finishing up the Inductive Reasoning project today as a class.  We also reviewed the main skills needed when working with constructions.  The students then either worked to finish their project or started on their constructions assignment.


Assignment:  Constructions Review WS +  topic 1-4;  page 32-34;  #3-6, 10-14, 17

Geometry 10-12; 9/12

We continued our work with angle addition today by going over a few more examples together.  The students then practiced on several types of problems in partners for a portion of the period.  The last part of the period found the students getting started on their chapter 1 quiz reviews.  Quiz tomorrow.


Assignment:  Chapter 1 Quiz Review

Honors Algebra 2; 9/12

The students turned in their unit 1 reviews today before taking the unit 1 test.


Assignment:  none

Wednesday, September 11, 2019

Geometry; 9/11

We continued our work on the inductive reasoning project.  We went over a few review topics together -- slope calculations, graphing techniques, and determining line equations -- that will be needed to finish the assignment.  The students then spent the rest of the period working on the project.

Assignment.  Inductive reasoning project

Geometry 10-12; 9/11

Our lesson today focused on working with angles.  We went over how to measure them, classify them, and calculate them using the angle addition postulate.  We went over 3-4 examples of each skill and then the students got started on their homework.


Assignment:  Section 1.4 WS

Honors Algebra 2; 9/11

We spent time today reviewing for tomorrow's test.  We also answered several different homework questions that dealt with completing the square.  The review sheet answers are posted on Canvas.

Assignment:  Unit 1 Review Sheet

Tuesday, September 10, 2019

Geometry; 9/10

We started our inductive reasoning project today by collecting data from a variety of shapes.  We filled out 3 data tables of numbers today that we will use tomorrow in making a graph.


Assignment:  none

Geometry 10-12; 9/10

Our work today consisted of introducing how to use the midpoint and the distance formula.  We went through 4-5 examples of how these particular formulas are used when points are graphed.


Assignment:  Midpoint/Distance formula WS

Honors Algebra 2; 9/10

We continued to work with completing the square today by taking a look at how to solve these questions when there are leading coefficients greater than 1.  We went through 3 examples today after answering a few questions in regards to the homework.  The students then got started on their assignment.


Assignment:  Completing the Square WS #2

Monday, September 9, 2019

Geometry; 9/9

The lesson today focused on the topic of inductive reasoning.  We went over the concept of looking for patterns with either numbers or figures in order to make a conjecture.  This vocab word can be proved wrong using a counterexample, and went through a few problems involving these as well.  The students then got started on their assignment.


Assignment:  Inductive reasoning WS

Geometry 10-12; 9/9

Our work today focused on a couple more types of problems involving the segment addition postulate.  We went over 3-4 different examples together before the students got started on their assignment.


Assignment:  Segment additional postulate WS

Honors Algebra 2; 9/9

Our work today focused on working to solve quadratics using the process of completing the square.  We went over this process with 4-5 examples before the students got started on their assignment.


Assignment:  Completing the Square WS   (leading coefficient = 1)

Friday, September 6, 2019

Honors Algebra 2; 9/6

Our lesson today focused on working with special cases of factoring quadratics.  We went through working with special cases involving cubes and squares of variables in polynomials.  We showed 4-5 examples together before the students got started on their assignment.


Assignment:  Special Cases involving Factoring WS

Geometry 10-12; 9/6

We reviewed our figure drawings together for a few minutes before taking the algebra equations and figure drawing quiz in class today.


Assignment:  none

Geometry; 9/6

We continued our work with segment calculations today by demonstrating how to use the distance formula to find the length between two points on a graph.  We went over 3-4 examples together before getting started on the assignment.


Assignment:  lesson 1-3;  page 25-27;  #5-8. 20-22. 26, 27

Thursday, September 5, 2019

Geometry; 9/5

The lesson today focused on working with midpoints of segments and partitions of segments.  We went over how to use the midpoint formula, as well as how to sketch simple graphs of segments when they need to be partitioned. 


Assignment:  lesson 1-3;  page 25-27;  #2, 3, 10, 12, 15-19

Geometry 10-12; 9/5

Our work today focused on how to calculate the lengths of segments and how to use the segment addition postulate in working through problems.  We went over 4-5 examples together before the students got started on their homework.


Assignment:  Segments WS  1.2

Honors Algebra 2; 9/5

We continued our work with factoring today by taking a look at how to factor quadratics that have a leading coefficient greater than 1.  We went through several examples showing how to use the AC method of factoring for these cases.  The students had a chance to practice and ask questions before getting started on their assignment.


Assignment:  AC method factoring WS (skip multiples of 3)  +  page 12;  #31-33

Wednesday, September 4, 2019

Geometry; 9/4

We continued our work with constructions today by taking a look at how to bisect both segments and angles.  We also demonstrated how to construct angles of various sizes using the 90 degree and 60 degree constructions as references.


Assignment:  Construction WS #2 +  #4, 7, 10, 11, 16, 18, 19

Geometry 10-12; 9/4

We continued our work of introducing the terms of geometry today.  We went over 4-5 additional terms both in words and with the figures associated with them.  The students then worked on a partner activity in which they used the correct vocabulary terms to describe the various drawings they were given.


Assignment:  none

Honors Algebra 2; 9/4

We went over several homework problems that students had questions on to start off the period.  We then began reviewing how to work with quadratics by talking about factoring.  We went over how to factor trinomials, as well as how to look for the GCF in these expressions when factoring them.


Assignment:  Factoring Trinomials and GCF WS

Tuesday, September 3, 2019

Geometry; 9/3

Today's lesson focused on how to construct various figures using a compass and a straight edge.  We went over how to copy segments, how to copy angles, how to draw triangles from segments, and how to add and subtract segments.

Assignment:  Constructions assignment #1 + segment addition WS #4, 6, 8, 10, 13

Geometry 10-12; 9/3

Our lesson today focused on learning some of the foundations of geometry.  These involve both the symbols and the words that are attached to various figures.  We went over both defined and undefined terms, as well as showing a variety of symbols that the students will use throughout the year.

Assignment:  Foundations of Geometry worksheet + equations 1-9 odd

Honors Algebra 2; 9/3

We continued to work with interval notation and various parts of functions today.  We introduced several new vocab words:  x and y intercepts, positive and negative intervals, relative maximums and minimums, and areas of increasing and decreasing behavior.  We went over a couple of examples of how to determine the average rate of change as well. 


Assignment:  page 10-12;  lesson 1-1;  #2-22. 29

Monday, September 2, 2019

Geometry; 8/30

The students worked on a geometric figure drawing activity today.  Working in pairs, their job was to describe and draw a variety of geometry figures that they were provided with on various cards.  They practice on about 15 different drawings.


Assignment:  online pearson assignment:  lesson quiz 1-1  (access through pearson icon on your launchpad)

Geometry 10-12/ 8/30

We spent some more time today in class reviewing the skills of solving equations by playing equation jeopardy.  The students had several categories to choose from that all dealt with solving equations.  After the online activity, the students then worked on their assignment at the end of the period.

Assignment:  Solving Multi Step equations WS  #2-10, evens

Honors Algebra 2; 8/30

We focused today on working through an activity on Desmos, an online graphing calculator site.  The students worked with the software to determine some of the ways that the graph of the absolute value function can be shifted and changed.  These are called transformations.

Assignment:  Absolute Value graph desmos exploration