We will start our deductive geometry unit with an exploration using GeoGebra (a free geometry/algebra program that you can download for use at home). Here is the schedule:
Wednesday, 12/19 A-Block in room 700, F-Block has their test
Thursday, 12/20 both classes meet in room 816, we use the laptop cart
Friday, 12/21 F-Block in room 700
This should be a fun way to head into vacation but don't forget that you are supposed to learn something!
This blog will provide you with a syllabus, homework and any hints I may have to help you out.
Tuesday, December 18, 2012
Monday, December 17, 2012
Answer Key for the Review
Here is the answer key for the Transformation and Coordinate Geometry Review.
Thursday, December 13, 2012
Studying for the big Unit Test
The test on Tuesday puts together the function transformation material with the coordinate geometry material. It is a lot to put together and I have trying to help you see that it is all interconnected so that you do not have to memorize lots and lots of things. Below are some hints about studying:
I have given you a Review sheet which lists the concepts and skills that you need to be able to do. Make sure you find the test and quiz questions that relate to every concept and skill so that you can self assess which skills you understand well and which you could use more help with.
I have given you a packet of review problems. Use them to test how well you feel able to do problems without looking at notes or getting help.
Here is the answer key to the Pairs Coordinate Geometry assessment. Use it to help you understand any problems that you may have gotten wrong, or what you could have done better if you did not get full credit.
Don't just read over notes and problems - Do Them! Practice is the best way to study for a math test!
I have given you a Review sheet which lists the concepts and skills that you need to be able to do. Make sure you find the test and quiz questions that relate to every concept and skill so that you can self assess which skills you understand well and which you could use more help with.
I have given you a packet of review problems. Use them to test how well you feel able to do problems without looking at notes or getting help.
Here is the answer key to the Pairs Coordinate Geometry assessment. Use it to help you understand any problems that you may have gotten wrong, or what you could have done better if you did not get full credit.
Don't just read over notes and problems - Do Them! Practice is the best way to study for a math test!
Wednesday, December 5, 2012
Putting together Coordinates and Transformations
The last part of this unit (before the big test) is dealing with transformations of figures through their coordinates. This is not a long unit because we have dealt with many of these ideas separately already but we will be adding rotations. We will be using a packet though it is from the same book series. As always, any classwork not finished in class becomes part of the homework.
Note that the dates are for A-Block. F-Block is one day later after Mondays.
12/06 8.05 Getting Started CW In-Class Experiment and p.621-622/1,2,3,5
HW p.622-623/6-8, 10-12
12/10 8.06 Reflections CW all p.624-625 and p.626/1,2
HW p.627-629/7-9, 11-15
12/11 8.07 Translations CW p.631-634/1-6, Minds in Action, 7-9
HW p.635-637/1-7
12/12 8.08 Rotations CW p.643 In-Class Experiment, p.644-645/1-4
HW p.645-646/7-10
12/13 8.09 Isometry and 8B Review CW p.653-654/5-7, 8a
HW p.656/1-7 (this will be collected, do it neatly)
12/17 Entire Unit Review
12/18 Test of Transformation and Coordinate Unit
12/19 Computer Lab about Triangle Congruence (Day 1)
12/20 Computer Lab about Triangle Congruence (Day 2)
12/22-01/01 Christmas Break
01/02 Parent Conferences, no school
Note that the dates are for A-Block. F-Block is one day later after Mondays.
12/06 8.05 Getting Started CW In-Class Experiment and p.621-622/1,2,3,5
HW p.622-623/6-8, 10-12
12/10 8.06 Reflections CW all p.624-625 and p.626/1,2
HW p.627-629/7-9, 11-15
12/11 8.07 Translations CW p.631-634/1-6, Minds in Action, 7-9
HW p.635-637/1-7
12/12 8.08 Rotations CW p.643 In-Class Experiment, p.644-645/1-4
HW p.645-646/7-10
12/13 8.09 Isometry and 8B Review CW p.653-654/5-7, 8a
HW p.656/1-7 (this will be collected, do it neatly)
12/17 Entire Unit Review
12/18 Test of Transformation and Coordinate Unit
12/19 Computer Lab about Triangle Congruence (Day 1)
12/20 Computer Lab about Triangle Congruence (Day 2)
12/22-01/01 Christmas Break
01/02 Parent Conferences, no school
Monday, November 26, 2012
Finishing up the Coordinate Geometry Unit
The rest of the unit will be done with worksheets so the homework every night is to finish the worksheet started in class.
11/26 Recap of coordinate work so far
11/27 Coordinate Proofs - Day 1 (numerical proofs)
11/28 Coordinate Proofs - Day 2 (general proofs)
11/29 Coordinate Proofs - Day 3 (mix of numerical and general proofs)
12/03 Review of Unit (answer key)
12/04 Individual Assessment (A-Block)
12/05 Group Assessment (A-Block) Individual Assessment (F-Block)
12/06 Group Assessment (F-Block) start the next section (A-Block)
After this we will be going on to transformations from a geometric perspective (putting together the transformations of functions with the coordinate work that we have been doing).
11/26 Recap of coordinate work so far
11/27 Coordinate Proofs - Day 1 (numerical proofs)
11/28 Coordinate Proofs - Day 2 (general proofs)
11/29 Coordinate Proofs - Day 3 (mix of numerical and general proofs)
12/03 Review of Unit (answer key)
12/04 Individual Assessment (A-Block)
12/05 Group Assessment (A-Block) Individual Assessment (F-Block)
12/06 Group Assessment (F-Block) start the next section (A-Block)
After this we will be going on to transformations from a geometric perspective (putting together the transformations of functions with the coordinate work that we have been doing).
Monday, November 12, 2012
Excellent description from quiz
I am going to post excellent responses to the question of the relationship between the Distance Formula, the Pythagorean Theorem and the Equation of a Circle:
"They are all in some way forms of the Pythagorean Theorem, and they can all be used to find the distance between two points on a graph."
"They all tell the distance of something. The Distance formula tells the distance of point A to point B. The Pythagorean theorem tells the length or distance of side C. And the equation of a circle calculates the distance of points from the center of the circle."
Good one for the the Pythagorean Theorem - Distance formula link:
"The distance formula is related to the Pythagorean Theorem because they both find distance. The distance formula uses coordinates and the Pythagorean Theorem uses already known lengths, which can all be found by using coordinates."
Good one for the Distance Formula - Circle Equation link:
The equation of a circle is the distance formula, just after squaring both sides to make it d^2 = (x1-x2)^2 + (y1-y2)^2. This is because when you are graphing a circle, the point it is centered around, or (h, k), is the same as (x2, y2). Also, the radius (r^2) is just the distance from the center of the circle to any point on the circle.
And best of all...
Think about your answer. How does it compare for completeness and clarity?
"The Distance Formula is actually the Pythagorean Theorem unsquared. Instead of d^2 (c^2) it's just d and (x1-x2)^2 and (y1-y2)^2 are a^2 and b^2. The equation of a circle is the Pythagorean Theorem. (x - h)^2 is a^2 and (y - k)^2 is b^2, while the radius squared is c^2."
"They are all in some way forms of the Pythagorean Theorem, and they can all be used to find the distance between two points on a graph."
"They all tell the distance of something. The Distance formula tells the distance of point A to point B. The Pythagorean theorem tells the length or distance of side C. And the equation of a circle calculates the distance of points from the center of the circle."
Good one for the the Pythagorean Theorem - Distance formula link:
"The distance formula is related to the Pythagorean Theorem because they both find distance. The distance formula uses coordinates and the Pythagorean Theorem uses already known lengths, which can all be found by using coordinates."
Good one for the Distance Formula - Circle Equation link:
The equation of a circle is the distance formula, just after squaring both sides to make it d^2 = (x1-x2)^2 + (y1-y2)^2. This is because when you are graphing a circle, the point it is centered around, or (h, k), is the same as (x2, y2). Also, the radius (r^2) is just the distance from the center of the circle to any point on the circle.
And best of all...
"The distance formula is like the pythagorean theorem because finding the distance between two points is the same as finding the hypotenuse of a triangle if the two points were the legs of the triangle. It is related to the equation of a circle because in a circle you are finding points at a certain distance away from the middle."
Think about your answer. How does it compare for completeness and clarity?
Thursday, November 8, 2012
Beginning Coordinate Geometry
Our next section of this unit is on coordinate geometry. Much of this material would have been covered last year if you had take Math 1 so we are using copies of some sections from the Math 1 book.
11/08 Post-Quiz do "Getting Started" in 8C, p.659-661/1-11
11/09 Midpoint (and Distance) Formula (F-Block)
CW p.662-663 In-Class Experiment, p.666/1,2,5,6, HW p.667-668/7-14, 16-22
11/12 Veterans' Day - no school
11/13 Midpoint (and Distance) Formula (A-Block)
11/08 Post-Quiz do "Getting Started" in 8C, p.659-661/1-11
11/09 Midpoint (and Distance) Formula (F-Block)
CW p.662-663 In-Class Experiment, p.666/1,2,5,6, HW p.667-668/7-14, 16-22
11/12 Veterans' Day - no school
11/13 Midpoint (and Distance) Formula (A-Block)
CW p.662-663 In-Class Experiment, p.666/1,2,5,6, HW p.667-668/7-14, 16-22
11/14 Parallel Lines and Collinear Points
CW p.669 In-Class Experiment, p.671 For You to Do; HW p.672-673/1-7, 9
11/15 Perpendicular Lines
CW Handout of Exploration HW p.677-678/1-3, 5-8, 10-12
11/16 Circles, Secants and Tangents (F-Block)
CW/HW handout
11/19 Circles, Secants and Tangents (A-Block), Locus Problems (F-Block)
CW/HW handout
11/20 Locus Problems (A-Block)
CW/HW handout
11/21 Follow-up locus problem (Half Day A C F H)
11/22 Thanksgiving!
11/22 Thanksgiving!
Monday, October 22, 2012
Transformations
We are going back to the book. Make sure you can log on! Any day that we do not finish the classwork, please finish it for homework. (Note: The dates are for A-Block.)
But first, one more worksheet....
10/23 Proving the Pythagorean Theorem and the Distance Formula
HW finish the distance problems on the worksheet
10/24 4.14 Getting Started on Transformations
CW p.335/1-10; HW p.336-337/12-24
10/25 4.15 More Basic Graphs
CW/HW p.344-345/1-3, 8, 13-16
10/29 Hurricane - school closed
10/30 Hurricane Damage - school closed
10/31 4.16 Translating Graphs
CW p.352-353/1-3, 6, 7; HW p.353-355/9-13
11/01 4.15, 4.16 Extra practice with x^3 + x and x^3 - x
CW p.342-343,345/7, 9-12 and p.352-353/4,5,8; HW Additional Practice
11/02 4.17 Scaling Graphs (F-Block schedule)
CW p.357/1, 2; HW p.362-364/1, 2, 4, 9, 14-18
11/05 4.17 Scaling and Reflecting Graphs (A-Block schedule)
CW p.357/1, 2, 3, 5; HW p.362-364/1, 2, 4, 9-11, 14-18
11/05 4.17 Reflecting Graphs (F-Block schedule)
CW p.361-362/3, 5; HW p.363-364/10, 11, 13 and p.365/1-8
11/06 Professional Development Day - no school
11/07 Review Function Transformations
11/08 Quiz of Section 4D, do 8C "Getting Started"
HW p.659-661/1-11
There will be homework check quick quizzes so keep up.
But first, one more worksheet....
10/23 Proving the Pythagorean Theorem and the Distance Formula
HW finish the distance problems on the worksheet
10/24 4.14 Getting Started on Transformations
CW p.335/1-10; HW p.336-337/12-24
10/25 4.15 More Basic Graphs
CW/HW p.344-345/1-3, 8, 13-16
10/29 Hurricane - school closed
10/30 Hurricane Damage - school closed
10/31 4.16 Translating Graphs
CW p.352-353/1-3, 6, 7; HW p.353-355/9-13
11/01 4.15, 4.16 Extra practice with x^3 + x and x^3 - x
CW p.342-343,345/7, 9-12 and p.352-353/4,5,8; HW Additional Practice
11/02 4.17 Scaling Graphs (F-Block schedule)
CW p.357/1, 2; HW p.362-364/1, 2, 4, 9, 14-18
11/05 4.17 Scaling and Reflecting Graphs (A-Block schedule)
CW p.357/1, 2, 3, 5; HW p.362-364/1, 2, 4, 9-11, 14-18
11/05 4.17 Reflecting Graphs (F-Block schedule)
CW p.361-362/3, 5; HW p.363-364/10, 11, 13 and p.365/1-8
11/06 Professional Development Day - no school
11/07 Review Function Transformations
11/08 Quiz of Section 4D, do 8C "Getting Started"
HW p.659-661/1-11
There will be homework check quick quizzes so keep up.
Wednesday, October 17, 2012
Last day of stats on the computers
Today is our last day of the statistics unit. You will work with a partner and a computer to process two data sets that are in the file below. The tasks are outlined in the file. You should print out your results or email them to me (dhaupt@sch.ci.lexington.ma.us) when you are done. You should finish before the end of the block to show that you are ready for Monday's test.
File of data (runs Excel).
File of data (runs Excel).
Monday, October 15, 2012
Data for studying correlation
We will be using two different files to look at correlation. The first is for playing around, the second is for calculations.
First file (runs Geometers Sketchpad).
Second file (runs Excel).
First file (runs Geometers Sketchpad).
Second file (runs Excel).
Thursday, October 4, 2012
The Intro to Statistics Unit
We are doing an Intro to Statistics unit, focussing on types of data and how to present them. The unit is a compendium of info from (mostly) the Math 1 so we will be using handouts. The homework every night is to finish that day's handout.
09/27 Categorical Data - what is it?
10/01 Two-way Tables - a way to present categorical data
10/02 Association - beginning analysis of categorical data
10/03 Scatterplots - graphing Quantitative data
10/04 Catch-up on ideas and review
10/08 Columbus Day - no school
10/09 Quiz of Stats unit so far
10/10 Best-fit lines by hand - analysis of scatterplots
10/11 Best-fit lines by computer/calculator
10/15 Linear practice
10/16 Correlation Coefficient
10/17 Test Review
10/18 Either further review or start the next unit
10/22 Stats Unit Test
09/27 Categorical Data - what is it?
10/01 Two-way Tables - a way to present categorical data
10/02 Association - beginning analysis of categorical data
10/03 Scatterplots - graphing Quantitative data
10/04 Catch-up on ideas and review
10/08 Columbus Day - no school
10/09 Quiz of Stats unit so far
10/10 Best-fit lines by hand - analysis of scatterplots
10/11 Best-fit lines by computer/calculator
10/15 Linear practice
10/16 Correlation Coefficient
10/17 Test Review
10/18 Either further review or start the next unit
10/22 Stats Unit Test
Wednesday, October 3, 2012
Thursday, September 27, 2012
Our Categorical Data
Here are the Excel files of the categorical data we collected in class.
A-Block Data
F-Block Data
Email me if you are having any difficulty with the files.
A-Block Data
F-Block Data
Email me if you are having any difficulty with the files.
Sunday, September 23, 2012
Some Answer Keys
Here are links to some answer keys that may help you:
Function Modeling with Operations
Review for Function Test
Please remember that you are welcome to send me email if you have any questions.
Function Modeling with Operations
Review for Function Test
Please remember that you are welcome to send me email if you have any questions.
Thursday, September 20, 2012
The Extra Practice Worksheet - some notes
On the side that covers lessons 2.2 and 2.3 (see the top right of the worksheet)
Problem 2: Make sure you can do parts b and c, don't worry so much about parts a and d.
Problem 3: You don't need to find the target, just the domain and range.
Problem 5: You will need to use your calculator for parts of this.
Problem 7: This one can be confusing if you don't use enough parentheses.
Problem 8: The parentheses in parts c and d indicate which composition to do first. Try it.
On the side that covers lesson 2.4
Problem 3: You can skip this one.
Problem 8: Remember that an inverse function undoes the original function. If you do one right after the other then you get back to where you started (ex. dollars to Euros to dollars). Also remember that if you know that the input of the inverse is 10 then you know the output of the original function is 10 (and vice versa).
The test for A-Block has moved to Tuesday, September 25th. The test for F-Block has moved to Friday, September 28th.
Please make sure you can log in to the book online by Monday.
Problem 2: Make sure you can do parts b and c, don't worry so much about parts a and d.
Problem 3: You don't need to find the target, just the domain and range.
Problem 5: You will need to use your calculator for parts of this.
Problem 7: This one can be confusing if you don't use enough parentheses.
Problem 8: The parentheses in parts c and d indicate which composition to do first. Try it.
On the side that covers lesson 2.4
Problem 3: You can skip this one.
Problem 8: Remember that an inverse function undoes the original function. If you do one right after the other then you get back to where you started (ex. dollars to Euros to dollars). Also remember that if you know that the input of the inverse is 10 then you know the output of the original function is 10 (and vice versa).
The test for A-Block has moved to Tuesday, September 25th. The test for F-Block has moved to Friday, September 28th.
Please make sure you can log in to the book online by Monday.
Thursday, September 13, 2012
Access to the Online Books!
Ok, here is what you need to know for logging in to the
online version of the book.
Go to http://www.successnetplus.com (or click the link on the right)
The username is Lex plus your FirstClass username (example: LexCullenEdward)
The password is your FirstClass password with 2016 at the
end (example: bella2016)
I have also provided some links to a “getting started”
document and a troubleshooting document.
If you have just forgotten your username or password, send me an email.
Need Help?
After you have gone through the troubleshooting guide, if
you continue to have any problems accessing the program, please contact
Pearson’s Technical Support service. A support representative will be happy to
help you get started. You can contact them by phone or online at:
Phone: 1-800-234-5832
Chat & Email: www.succcessnetplus.com/support
Wednesday, September 12, 2012
Another pdf of a few more sections
The ability to access the books online is almost here. Just to make sure you can access the pages you need, here is another pdf to download.
Monday, September 10, 2012
PDF of a couple sections of the book...
Given that I am not quite sure when the online books will be ready, I am making a few sections available here. This will provide access to the explanations and problems for the Explicit/Recursive formula homework and the Constant Difference/Slope homework.
Friday, September 7, 2012
Starting in the new book...
We spent some time reviewing functions but now we will really get into it. My two sections (A and F) meet on different days so I am listing the assignments with the pertinent dates for each section.
Note the change of dates for A-Block due to Picture Day on 9/12.
Note the change of dates for A-Block due to Picture Day on 9/12.
A-Block
|
F-Block
|
Assignments
|
9/06
|
9/10
|
Tables & Graphs HW make rules to generate more table values
|
9/10
|
9/12
|
Explicit and Recursive HW p.242-244/1-8, 10-12
|
9/11
|
9/13
|
Quick Quiz; Constant Difference & Slope CW p.252-5/1-8, HW p.256-7/9-17
|
9/13
|
9/14
|
Composition CW p.283-286/1-7, HW p.287-288/10-15, 17, 20
9/17 and 9/18 Rosh Hashannah (I am out on Tuesday the 18th) |
9/18
|
9/19
|
Function Operations with Modeling HW finish worksheet
|
9/19
|
9/20
|
Quick Quiz; Inverses CW p.295-296/1-7 HW p.297-298/8, 10, 14, 15, 20
|
9/20
|
9/21
|
Review
|
9/24
|
9/24
|
Big Quiz of Function Unit
|
The quick quizzes are designed to let both you and me how you are doing with the material so far. If you don't do well, get help right away! I want you to understand everything. I will provide paper copies until the online version of the book is ready.
Sunday, September 2, 2012
Getting Started
Our first two days were spent looking at patterns and the expressions we can use to count aspects of them. It was a different way of integrating a diagram and an algebraic expression than you may have seen before. Hopefully it also woke up your math brain a bit.
The next two days will be spent working on an Algebra 1 Review packet. The packet is based on the Math 1 book so you will get a taste for the way questions are asked in the new books. Do problems 1 - 11 the first day, 12 - 23 on the second day.
The next two days will be spent working on an Algebra 1 Review packet. The packet is based on the Math 1 book so you will get a taste for the way questions are asked in the new books. Do problems 1 - 11 the first day, 12 - 23 on the second day.
Saturday, August 25, 2012
Welcome!
Welcome to my blog for this new course at the High School. Math 2 will teach you to approach topics more like a mathematician - using all that you know, whether it be from the algebraic world of math or the geometric world. You will also learn what you can do when problems are so challenging that you are not sure you can solve them. (Hint: you can always do something!)
This blog will provide you with a syllabus and homework. Maybe suggestion too. ;-)
It is going to be an exciting year: new school, new books (that are online - no lugging it around), new friends, new challenges. Make sure you keep up! Remember, I am here to help you. Just ask me.
This blog will provide you with a syllabus and homework. Maybe suggestion too. ;-)
It is going to be an exciting year: new school, new books (that are online - no lugging it around), new friends, new challenges. Make sure you keep up! Remember, I am here to help you. Just ask me.
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