Back to School Night.

There's only one corner of the universe you can be certain of improving, and that's your own self.
-Aldous Huxley

Math can be a difficult subject for many students. Most children lose interest in mathematics, simply because they think it's too hard. Parents and teachers may find it difficult to motivate their students to complete their math assignments. Here are some suggestions to help your students in solving their math problems and overcome their fears:

1. Encourage Them!

You can improve your children's learning ability by providing them a positive environment. Many teachers often forget to encourage the efforts of their students. Children should be appreciated when they correctly solve their math problems. Teachers should mark their assignments, leniently. They are advised to keep their tone and attitude positive, since children can easily pick up signs of negativity.

2. Follow up on Homework

Teachers must ensure that children understand their homework. If the students are facing problems then the teachers should properly explain the assignment to them. Children will feel easy once they know what they have to do. Teachers can further assist by guiding them on what they should do the difficult parts. They should be able to judge the students response: do they understood the problem or not? Children must be provided further assistance if they need it. Parents need to monitor the progress of their children to make sure that they are doing fine. They should encourage them for their good performance.

3. Demonstrate the use of Math

Parents can also use real life examples to teach math to their children. School going children can learn a lot from every day examples. Simply ask them to calculate the money you have to pay for tickets, next time you go out to the movies. Try multiplying the number of cars of two different colors.

4. Real Life Math

Explain to your children how they can use math to solve their problems. They should understand that math is not about using simple arithmetic skills like addition and subtraction; it is much more than that. Children can use their mathematics skills to solve every day problems. They can find out how many pieces of pizza you need to cut so that it can be shared in your family. Just go beyond the daily assignments and let your children explore the real world problems to improve their mathematics. This will show them the true value of math in their lives.

5. Get them to talk!

Encourage your kids to talk. Tell your child to solve their math problems by talking about the correct steps. This will allow you to monitor what he or she is thinking. You can detect the problem areas while your child is talking his way through the steps.

6. Everybody loves money.

You should teach your children money skills. Your kids can use fractions and percentages to find out how much savings they have made on a particular purchase. For example if your children went to a movie that costs $30 and they have saved $10, so in terms of fractions they have saved 1/3 of the amount or 33%

8. Make Math Games

Learning mathematics should be a fun activity for your children. You can combine math with various games to make it interesting for your children. Other effective methods of teaching involve use of flash cards that test the child's math skills to help him get better in mathematics.

9. Use Computers

You can increase your child's learning speed by using computers and various educational software. Today's children are much more familiar with computers than their parents were at the same age. There are many computer games that involve the use of math skills. Senior students may be interested to learn about spreadsheets and calendars to improve their mathematics.

10. Talk to Teachers

Parents and Teachers should communicate with each other on a frequent basis. They should assist the students in learning the proper mathematics skills. Parents can play an essential role in improving their children's performance by regularly communicating with the teachers. They can work with the teachers to solve their children's problems.

Math Worksheets Center is home to over 8,000 highly quality printable K-12 math worksheets, lessons, quizzes, and homework. See it now: http://www.mathworksheetscenter.com

2.3 Apply Deductive Reasoning

Practice Quizzes

2.1 Quiz

2.2 Quiz

2.3 Quiz

GOAL: Use deductive reasoning to form a logical argument.

Vocabulary

Deductive reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.

Law of Detachment If the hypothesis of a true conditional statement is true, then the conclusion is also true.

Law of Syllogism If these statements are true,

If hypothesis A, then conclusion B.

If hypothesis B, then conclusion C.

then the following statement is true.

If hypothesis A, then conclusion C.

EXAMPLE 1: Use the Law of Detachment

Exercise for Example 1

Example 2: Use the Law of Syllogism

Exercise for Example 2

Example 3: Use Reasoning

Exercise for Example 3

2.2 Biconditional Statements

Sorry the post was late. Was traveling to the airport.

The game was a draw so that means we have to come back in two weeks. OMG!!!


Hope all is well and see you tomorrow.

Ms. Garcia

Video 1


Video 2

2.2 Analyze Conditional Statments

Example 1:


Example 2:






2-1 If-Then Statements:

If-Then Statements: An if-then statement is just what the name says it is. It is a statement that proves if something happens then something else will happen. For example,

“If Chris went to the store after school, then he will buy something.”

Or

“If D is between C and E, then CD + DE = CE”

These kinds of if-then statements are called conditional statements, or just conditionals.

To symbolize an if-then statement, then let p represent the hypothesis, and q represent the conclusion.

If p, then q.

Converse: Switching the hypothesis and the conclusion forms a converse of a conditional.

Statement: If p, then q. Converse If q, then p.

A statement and a converse say different things. Some converses come out to be false while the statement is true. For example,

Statement: “If Chris lived in California, then he lives East of the capital of the USA”

Converse: “If Chris lives East of the capital of the USA, then he lives in California”

As anyone can see, the converse is false. If Chris lives east of the capital, there are a number of states he could live in, not just California. In cases such as these, where the hypothesis (p) is true and the converse (q) is false, there is a name. The names of these cases are called counterexample.

Inverse: The inverse is simply the conditional with ‘not’ added to it.

Contrapostive: An inverse but switched around with the p and q.

For example,

• Statement: If p, then q
• Converse: If q , then p
• Inverse: If not p, then not q
• Contrapositive: if not q, then not p

The statement is always true with the contrapositive, but a statement is not logically equivalent to its converse or to its inverse.

2.1

DAY 1

Vocab Part 1 and Example 1

Vocab Part 2 and Example 2

DAY 2

Vocab Part 3 and Example 3

Vocab Part 4 and Example 4

If-Then Statements

Objective:

• Understand If-Then Statements; Conditionals, Biconditional, Converse, Counterexample, Inverse, and Contrapositives.

• Know most of the properties from Algebra

Lesson 2-1 If-Then Statements:

If-Then Statements: An if-then statement is just what the name says it is. It is a statement that proves if something happens then something else will happen. For example,

“If Chris went to the store after school, then he will buy something.”

Or

“If D is between C and E, then CD + DE = CE”

These kinds of if-then statements are called conditional statements, or just conditionals.

To symbolize an if-then statement, then let p represent the hypothesis, and q represent the conclusion.

If p, then q.

Converse: Switching the hypothesis and the conclusion forms a converse of a conditional.

Statement: If p, then q. Converse If q, then p.

A statement and a converse say different things. Some converses come out to be false while the statement is true. For example,

Statement: “If Chris lived in California, then he lives East of the capital of the USA”

Converse: “If Chris lives East of the capital of the USA, then he lives in California”

As anyone can see, the converse is false. If Chris lives east of the capital, there are a number of states he could live in, not just California. In cases such as these, where the hypothesis (p) is true and the converse (q) is false, there is a name. The names of these cases are called counterexample.

Inverse: The inverse is simply the conditional with ‘not’ added to it.

Contrapostive: An inverse but switched around with the p and q.

For example,

• Statement: If p, then q
• Converse: If q , then p
• Inverse: If not p, then not q
• Contrapositive: if not q, then not p

The statement is always true with the contrapositive, but a statement is not logically equivalent to its converse or to its inverse.

2.2 Analyze Conditional Statements

2-1 If-Then Statements:

If-Then Statements: An if-then statement is just what the name says it is. It is a statement that proves if something happens then something else will happen. For example,

“If Chris went to the store after school, then he will buy something.”

Or

“If D is between C and E, then CD + DE = CE”

These kinds of if-then statements are called conditional statements, or just conditionals.

To symbolize an if-then statement, then let p represent the hypothesis, and q represent the conclusion.

If p, then q.

Converse: Switching the hypothesis and the conclusion forms a converse of a conditional.

Statement: If p, then q. Converse If q, then p.

A statement and a converse say different things. Some converses come out to be false while the statement is true. For example,

Statement: “If Chris lived in California, then he lives East of the capital of the USA”

Converse: “If Chris lives East of the capital of the USA, then he lives in California”

As anyone can see, the converse is false. If Chris lives east of the capital, there are a number of states he could live in, not just California. In cases such as these, where the hypothesis (p) is true and the converse (q) is false, there is a name. The names of these cases are called counterexample.

Inverse: The inverse is simply the conditional with ‘not’ added to it.

Contrapostive: An inverse but switched around with the p and q.

For example,

• Statement: If p, then q
• Converse: If q , then p
• Inverse: If not p, then not q
• Contrapositive: if not q, then not p

The statement is always true with the contrapositive, but a statement is not logically equivalent to its converse or to its inverse.

Chapter 2: 2.1 Reasoning and Proof

There will be 3 videos for todays lesson. Watch each video in class then complete the homework in your workbook.

     Assignment: Start in class and finish for HW. Do from workbook pg 9-10 #’s 1-4, 5-11 odd, and 15, 18, 23

Example 1




Example 2



Example 3

2.1 Use Inductive Reasoning

Geometry, like much of science and mathematics, was developed partly as a result of people recognizing and describing patterns. In this lesson, you will discover patterns yourself and use them to make predictions.

Goal: How do you use inductive reasoning in mathematics?

Vocabulary

INDUCTIVE REASONING

Inductive Reasoning-you use when you find a pattern in specific cases and then write a conjecture for the general case.

Conjecture- is an unproven statement that is based on observations.


DISPROVING CONJECTURES
To show that a conjecture is true, you must show that is is true of all cases. You can show that a conjecture is false, however, by simply finding counterexamples.

Counterexample- is a specific case for which the conjecture is false.

In class examples: Chapter 2, lessons 1: Examples 5-6

1.5 Describe Angle Pair Relationships

Goal: Use special angle relationships to find angle measures.

VOCABULARY

Complementary angles

Two angles whose sum is 90°

Supplementary angles

Two angles whose sum is 180°

Adjacent angles

Two angles that share a common vertex side, but have no common interior points.

Linear pair

Two adjacent angles are a linear pair if their non common sides are opposite rays.

Vertical angles

Two angles are vertical angles if their sides form two pairs of opposite rays.

In class examples: Chapter 1 lesson 5, examples 1-5

Distance and Midpoint quiz

Quiz 2:

Point C(2,3) is the midpoint of segment AB. One endpoint is A(-1,5). Find the coordinates of the endpoint B. Then find the length of segment AB ( put in simplest radical form and decimal answer.)

Show work

1.4 Measure and Classify Angles

Goal: Name, measure, and classify angles

VOCABULARY

Angle

An angle consists of two different rays with the same endpoint.

Sides of an angle

In an angle, the rays are called the sides of the angle.

Vertex of an angle

In an angle, the endpoint is the vertex of the angle.

Angle Bisector

Is a ray that divides an angle into two angles that are congruent

Congruent Angles

If they have the same measure

Angle Addition Postulate (2nd Postulate of the year)

In class examples: ch 1, lesson 4

1.3 Part 2: Distance Formula

1.3 Part 2 Distance Formula

Do Now:

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S.

R(3,0), M(0,5)

NOTE: Show all work and formulas

In class examples: Lesson 3, example 4

1.3 Part 1 Midpiont Formula

Goal: Find lengths of segments in the coordinate planes

- skateboard

-Windwill

1.3 Part 1 Midpiont Formula

VOCABULARY

Midpoint

The point that divides ( or bisects) a segment into two congruent segments

Segment bisector

A point, ray, line, line segment, or plane that intersects the segment at its midpoint

THE MIDPOINT FORMULA

The coordinates of the midpoint of a segment are the averages of the x-coordinates and of the y-coordinates of the endpoints.

NOTE: refer to images

In Class examples: Chapter 1 Lesson 3

1.2 Use Segments and Congruence

Before you learned about points, lines, and planes.
Now You will use segment postulates to identify congruent segments
Why...
How to calculate flight distance?

News articles: Model Plane Flies the Atlantic

Vocabulary

Postulate, axiom

A rule that is accepted without proof

Theorem

A rule that can be proved

Coordinate

The real number that corresponds to a point

Distance

The distance between two points A and B, written as AB, is the absolute value of the

difference of the coordinates of A and B.

Between

When three points are collinear, you can say that one point is between the other two.

Congruent segments

Line segments that have the same length

In class examples: Chapter 1 lessons 2, examples 2 and 4

Online Text Book

1. Follow the link for the online text book.
2. student account: fibonacciJG
3. password: vampire9

NOTE: Don't cut and paste. Type the username and password.


Good luck

Welcome!!

Ms. Garcia's Daily Information

Contact Information
Homeroom: 4D6
Blog address: http://geo2010.blogspot.com
E-mail:garciaj@xavierhs.org

Ms. G’s life hour to hour!!

Extra Help:

Monday: Before school and After school
Tuesday:  After school
Wednesday: After school
Thursday: Before school and After school
Friday: By appointment

If you have questions, please ask!! If not, we will move right past you.

Course Guidelines

Course Materials:
To be prepared for class each day you must bring…

· Pencils and/or pens
· Workbook
· Notebook
· Calculator – TI-84.

Classroom Rules/Expectations:

• Respect and be polite to others, listen carefully, and do not interrupt the teacher or other students.

• Obey all school and district wide rules. • Bring supplies and homework every day.

• If you miss class for any reason, you have until the end of the week to make up homework, quizzes, and tests. If you fail to do so then you receive a ZERO!

• Show all calculations or NO CREDIT!

• NO Late homework will be accepted!

• Cheating – ANY form of cheating will result in a zero and further consequence if necessary (refer to student handbook.) Cheating includes: plagiarism, copying someone's work or allowing someone to copy your work.

Geo Outline

Ms. Garcia’s Geometry Course Syllabus 2010/2011

Course Description/Overview:
Welcome to Geometry! A full-year credit in Geometry is required for high school graduation. Geometry is everywhere in our world and I am committed that you see and appreciate the beauty of it. This course will emphasize abstract and logical thinking through inductive and deductive reasoning. Lines, planes, polygons, circles, spheres, and other three-dimensional figures will be used for representing and solving a variety of problems. We will be using the online text book all year long for extra recourse in and out of the classroom.

Course Content:
• Applications from Algebra
• Essentials of Geometry-Points, lines, and planes
• Reasoning and Proofs
• Parallel and Perpendicular Lines
• Congruent Triangles
• Relationships within Triangles
• Similarity
• Right Triangles and Trigonometry
• Quadrilaterals
• Properties of Circles
• Measuring Length and Area
• Real-world applications

Grading Policy/Assessment

Quarter Grade:
(Points Earned /Points Possible) x 100 during each Quarter.

1st Semester Average:
Calculated by weighting
First Quarter in the semester 40%
Second Quarter in the semester 40%
Midterm Exam 20%

2nd Semester Average:
Calculated by weighting
Third Quarter in the semester 40%
Fourth Quarter in the semester 40%
Final Exam 20%

Final Grade:
Calculated by averaging the semester grades