10/31/2007 Algebra 2-Determinants & Cramer's Rule

Today we continued studying matrices and their uses. Today we will be using determinants to solve systems of equations using a process called Cramer's Rule.

Follow this link to see video demonstrations of both.

Students practiced on a worksheet and a few problems from the book.

Homework:
page 218-9 #'s 18-26 even, 40, 42, 46 & worksheet

10/30/2007 Pre Algebra-Solving Inequalities

Today we worked on solving inequalities using multiplication and division. When solving, if you multiply or divide by a negative number, then you must flip the inequality. For example, the solution to -3x ≤ 6 is x ≥ -2.

Homework:
page 146 #'s 12-35

10/30/2007 Algebra 1-Slope Intercept Form

Today we continued our study of equations and graphs. Our focus today was on slope-intercept form.

y = mx + b

Our objectives are:
1) Solve an equation for y
2) Find the slope and y-int of an equation in y=mx+b form
3) Graph an equation using slope and y-intercept

To see some examples of these problems, click here.

Homework:
page 244 #'s 14-54 even (graph paper here)

10/30/2007 Applied Geometry-Bisectors in Triangles

We continued our study in Chapter 5 today. Students copied notes with the theoerems, definitions and examples from section 2 today. We went through the definitions of circumcenter and incenter of a triangle and applied them to some problems that required us to find segment lengths. See some demonstrations here.

Homework:
(done in class) page 311-313 #'s 3-10,12-19,22-34

10/29/2007 Algebra 1-Slope Intercept Form

Today we continued our study of equations and graphs. Our focus today was on slope-intercept form.

y = mx + b

Our objectives are:
1) Solve an equation for y
2) Find the slope and y-int of an equation in y=mx+b form
3) Graph an equation using slope and y-intercept

To see some examples of these problems, click here.

Homework:
page 244 #'s 14-54 even (graph paper here)

10/29/2007 Algebra 2-Multiplying Matrices

Today's lesson continues our focus on matrices. Today we will be multiplying matrices together. There is a good video demonstration here. After some examples on the board, students practiced multiplying matrices together on a worksheet and then did a short graded assignment from the textbook.

Homework:
worksheet & page 212 #'s 27-34

10/25/2007 Algebra 1-Slope Formula

Today, students reviewed the slope formula. We looked at calculating slope given 2 points, giving the kind of slope based on a graph, and found a missing coordinate when given the slope.

Homework:
pages 230-231 #'s 12-46 even

Extra Credit 10/25/2007-11/2/2007

Extra Credit for this week and next can be found here.

10/25/2007 Algebra 2-Matrix Operations

Today students will begin Chapter 4, focusing on matrices. Today we will introduce and define matrices, define their dimensions, matrix addition, subtraction and scalar multiplication. Students will take notes in class over theses definitions and some examples. They completed the assignment in class.

Homework:
pages 203-205 #'s 12-36 even, 37-38, 42,44,45

10/24/2007 Applied Geometry-Perpendicular and Angle Bisectors

Today students went through the Perpendicular and Angle Bisector Theorems. In the notes, we set up some example problems to show how solve for certain pieces of the diagrams and how to set up an equation to solve for a variable.

Homework:
page 304 #'s 2-7, 12-17 page 329 #'s 1-3

10/23/2007 Algebra 2-Chapter 3 Test

Today students took the Chapter 3 Test.

10/23/2007 Algebra 1-Graphing Using Intercepts

Today students studied x and y intercepts for linear equations, how to find them and how to use them to graph.

Homework:
pages 221-222 #'s 14-58 even

10/22/2007 Algebra 1-Graphing Linear Equations

Today we began our introduction to graphing linear equations. We looked at ordered pairs and if they are solutions to equations, found ordered pairs that are solutions to equations and graphed equations by finding ordered pairs that are solutions.

Homework:
page 214-215 #'s 12-54 even

10/22/2007 Pre Algebra-Solving Equations Review

Today students worked on a review out of the book. We reviewed solving equations from Chapter 2 and so farin Chapter 3.

10/22/2007 Applied Geometry-More Proofs

We will continue or work with proofs today, focusing on proving that Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Students will be doing some proofs in class.

Homework:
page 263 #'s 4,8-11,19

10/19/2007 Algebra 1-Graphing Linear Equations

Today we began our introduction to graphing linear equations. We looked at ordered pairs and if they are solutions to equations, found ordered pairs that are solutions to equations and graphed equations by finding ordered pairs that are solutions. (Note: 5th period was missing half the class due to the sophomore class party, so we will pick this section up on Tuesday along with section 3. You can, however do the assignment if you don't want to have 2 due for next Thursday).

Homework:
page 214-215 #'s 12-54 even

10/19/2007 Algebra 2-Chapter 3 Review

Today students reviewed for the Chapter 3 Test. It will be on Tuesday, October 23rd. It will be the first grade for the 2nd quarter.

Homework:
Complete Review Packet and Prepare for Tuesday's Test

10/18/2007 Pre Algebra-Solving Equations with Variables on Both Sides

Today students will continue their work solving equations. Today's equations will have variables on both sides. Students will find that some of these equations have either no solution or all real numbers as a solution. Students will copy some example problems down to begin class, then we will do a few together. They will practice on a worksheet, then work on the assignment.

Homework:
page 134 #'s 11-22 all

10/18/2007 Algebra 1-Chapter 3 Test

Today students will take the Chapter 3 Test. When finished, they will take some notes reviewing plotting points in the coordinate plane and do an assignment for Friday.

10/18/2007 Applied Geometry-Intro to Proof

Today students were introduced to 2 column proofs today. We focused on proving triangles congruent in some examples on the board.

Homework:
page 246 #'s 7,13,1 page 256-258 #'s 6,13,22 page 281 #'s 2,7

10/17/2007 Algebra 2-Solving Systems of 3 Equations

Students will take notes over solving systems of 3 equations. One of the examples we will do together in class. The video above shows an example. When finished, students will complete a worksheet due for Friday.

10/17/2007 Algebra 1-Chapter 3 Test

Today students will take the Chapter 3 Test. When finished, they will take some notes reviewing plotting points in the coordinate plane and do an assignment for Friday.

10/15 & 16/2007 Algebra 1-Chapter 3 Test Review

Both classes will be reviewing for the Chapter 3 Test. A day will take the test Thursday and B day will take the test Wednesday.

10/16/2007 Applied Geometry-Chapter 4 Test

Today students will take the Chapter 4 Test.

10/15/2007 Algebra 2-Solving(Graphing) Systems of Inequalities

Today students will be graphing to solve systems of linear inequalities. To review graphing linear inequalities, you can revisit that day's blog post here. The video above shows a simple example of graphing to solve a system of equations. You can see some more examples under "Example 1" here. Students took some notes over some example problems in class. The assignment was completed in class and was graded. There will be a short quiz over this section to begin class Wednesday.

Homework:
pages 160-161, #'s 21-26 all, 28-46 even (turned in today)

10/11/2007 Algebra 1-Rates, Ratios & Percents

Today's lesson shows students how to find unit rate, convert between measures and find the percent. Students looked at some example problems. You can see some examples here and here.

Homework:
page 183 #'s11-19, 23-27, 30-35 page 799 #'s 45-53

10/11/2007 Algebra 2-More with Systems of Equations

Today we reviewed systems of equations again in class. Students worked in their groups. We used sysytems of equations and the substitution method to find out when the cost of a Hybrid Prius would equal the cost of a gas Honda Civic.

10/10/2007 Pre Algebra - Chapter 2 Test

Students took the Chapter 2 Test today.

10/10/2007 Applied Geometry- SSS and SAS Congruence

Students began class by copying some notes on our 3 main ideas today:

1) Congruent Triangles
2) SAS Congruence Theorem
3) SSS Congruence Theorem



I illustrated some examples of what it means to be congruent triangles and what we can do with it. Students completed a worksheet packet for practice, which we went over at the end of class. Here are some homework examples for section 3 & section 4 .

Homework:
pages 246-248 #'s 5-9, 11-17, 28-29 & Worksheet B

10/9/2007 Algebra 1 Solving Decimal Equations

Today students solved decimal equations using the same methods we have been using in the previous 4 sections.

Homework:
page 169 #'s 14-38 even & page 799 #'s 9-30

10/9-10/12/2007 Extra Credit

Go here for this week's extra credit. Leave a comment or turn in your answere to me before the end of school Friday.

10/9/2007 Algebra 2-Solving Linear Systems with Linear Combination

Today in class we reviewed solving systems of equations by the substitution method, and I introduced the new method of solving, the linear combination method. I explained a few examples and then student spracticed on a worksheet. For demonstration of this method, follow this link and click the 'Video" button next to the second example.

Homework:
3.2 worksheet #'s 1-14

10/5/2007 Algebra 1-Solving Decimal Equations

Today students solved decimal equations using the same methods we have been using in the previous 4 sections.

Homework:
page 169 #'s 14-38 even

10/5/2007 Applied Geometry-Congruent Triangles

Today students were introduced to the idea of congruent triangles. Students did some example probelms identifying corresponding part of congruent traingles and solving for x when presented with congruent triangles.

Homework:
pages 234-236 #'s 3-10,13-18,31-34

10/5/2007 Pre Algebra-Chater 2 Review

Students will be reviewing for the Chapter 2 Test. During class, they will complete pages 108-111 #'s 6- 46 even and for Wednesday, they will do worksheet pages 75-76 #'s 1-67 odd.

Homework:
worksheet pages 75-76 #'s 1-67 odd
(Chapter 2 Test is Wednesday October 10th)

10/4/2007 Algebra 1-Solving Equations with Variables on Both Sides

Students took notes over example problems on the board and we graded our homework. See some more examples here. Our goal today is to solve equations with variables on both sides of the equation. We will use the same techniques that we used in the previous sections.

Homework:
page 157, #'s 18-40 even.

10/4/2007 Algebra 2-Systems of Equations

We began our work in Chapter 3 today. Chapter 3 deals with systems of equations, also called 2 equations, 2 unknowns. We will take 2 (or more) equations involving 2 variables and solve for both. To introduce the idea today, I will show students how to find the solution by graphing and how to check whether an ordered pair is a solution. I will introduce one of the algebraic methods of solving to them today, the substitution method. After today students should be able to:
1) Check ordered pairs to see if they are solutions to systems of equations
2) Solve a system of equations by graphing both equations
3) Give the number of solutions to a system of equations from the graph
4) Use the substitution method to solve a system of equations

Students will practice in class with this worksheet. Here is a link for a video demonstration of the substitution method.

Homework:
page 143 #'s 12-18 even, 32-40 all & page 152 #'s 11-13,16,18,19,22

10/3/2007 Pre-Algebra-Solving Decimal Equations

Today we will be solving decimal equations. We will be doing the same processes that we did in the previous 2 sections, but dealing with decimals.

Homework:
page 105 #'s 12-35

10/3/07 Algebra 1-Solving Equations with Variables on both sides

Students took notes over example problems on the board and we graded our homework. See some more examples here. Our goal today is to solve equations with variables on both sides of the equation. We will use the same techniques that we used in the previous sections.

Homework:
page 157, #'s 18-40 even.

10/3/2007 Applied Geometry-Angle Relationships in Triangles

Today's focus is on the Triangle Sum Theorem, which states that the interior angles of a triangle add up to be 180 degrees. Our objectives are:

1) Give the Triangle Sum Theorem
2) Give the Third Angle theorem
3) Give the Exterior Angle Theorem
4) Find the measures of interior and exterior angles in a triangle

We completed a worksheet in class for practice, then students worked on our graded assignment. Video demonstrations and step by step solutions can be found here.

Homework:
page 227-230, #'s 16-23, 29-34 & 41-43

10/2/2007 Algebra 2-Test

Students took the Chapter 2 Test today.

10/2/2007 Algebra 1-Solving Multi-Step Equations

We began class with a review of the last 2 lessons, solving 1 step equations with addition, subtraction, multiplication & division. The new lesson focuses on solving multiple step equations. I did some example exercises from the book on the board. You can see some more examples solved in the videos presented here. The video above shows how to do an example as well. We practiced solving these equations on a worksheet. We went through it together in class afterwards, then students worked on their homework assignment.

Homework:
page 148, #'s 16-36 all

10/1/2007 Pre Algebra-Solving Equations with Multiplication & Division

Today we continued our work solving equations. We will be either multiplying both sides of the equation by a number, or dividing both sides of the equation by a number.

Homework:
page 99 #'s 8-24, 28-33

10/1-10/5/2007 Extra Credit

Go here for this week's extra credit assignment. Leave a comment or turn in your answer to me.

10/1/2007 Algebra 1-Solving Multi-Step Equations

We began class with a review of the last 2 lessons, solving 1 step equations with addition, subtraction, multiplication & division. The new lesson focuses on solving multiple step equations. I did some example exercises from the book on the board. You can see some more examples solved in the videos presented here. The video above shows how to do an example as well. We practiced solving these equations on a worksheet. We went through it together in class afterwards, then students worked on their homework assignment.

Homework:
page 148, #'s 16-36 all

10/1/2007 Applied Geometry-Classifying Triangles

We have a short lesson today, beginning our focus on triangles. In the first section of the chapter, our objectives are:

1) Classify triangles by their angle measures
2) Classify triangles by their side lengths
3) Find angle measures and side lengths in triangles

Students filled out some worksheets containing our 7 definitions, we worked through some of the algebra involved in find side lengths in isosceles and equilateral triangles, then they practiced with a worksheet and did a short, graded assignment.

Homework:
pages 219-220 #'s 1-10, 12-19, 23-32, 35-37