POLYNOMIALS

To start with this lesson, we are going to review the vocabulary regarding "POLYNOMIALS" that we studied last year. Click on the image to watch a presentation.

Here you are something very IMPORTANT that we didn´t study last year: Special products of binomials:

1. The square of a SUM
2. The square of a DIFFERENCE
3. The product of a SUM and a DIFFERENCE

This year, we are going to divide polynimials using long division (the usual way) and a new way of dividing, called Synthetic Division (Ruffini´s rule), that can be used to divide polynomial by a binomial of the form (x+k) or (x-k). Here you are some exercises to do regarding synthetic division and its applications.

Exercises

Besides, here you are some examples of  Synthetic Division:

INTERVALS and ROOTS

In this unit, we have been studying INTERVALS. If you need a review of the unit, click here to download the file.

We are going to study NTH-ROOTS. Here you are the information you need.

Here you are some exercises to review radicals.

UNIT 2: POWERS AND ROOTS. Scientific Notation

SCIENTIFIC NOTATION

An  interesting video to understand Scientific Notation.

You can download this file to understand Scientific Notation.

Here you are the information you need about nth-ROOTS.

Another interesting point that we are going to study is "INTERVALS", Here you are the information you need to know and some exercises to do.

We have almost finished the unit. You should be able to classify numbers in the most accuate set. So, try these exercises to check your knowledge. Good luck!

UNIT 1: RATIONAL NUMBERS

Hey, guys.
We have been studying the set of "Rational numbers". Last year, and two year´s ago, you also studied this set of numbers. Do you remember? Just in case...here you are some useful files in order to review the vocabulary:

• Fractions

• Working with fractions

• Decimals and percents

• Understanding percents

How to convert Fractions into Decimals and into Percents.

You should be able to complete the following diagram:

POLYNOMIALS

We are going to learn a lot of things regarding POLYNOMIALS.

Here you are the answer to all these questions:

1. How can you find the "degree" of a monomial?
2. What is a "polynomial"? For more information, click here.
3. What is a "term" in a polynomial?
4. What is the "standard form" of a polynomial?
5. How can you find the "degree" of a polynomial?

Besides, we are going to learn how to add, subtract, multiply or divide monomials/polynomials:

1. How to add/subtract polynomials:
1. Explanation
2. Video 1
3. Video 2
2. How to multiply polynomials:
1. Explanation
2. How to multiply a monomial by a polynomial
3. Video 1
4. The FOIL method. Use it!
3. How to divide a polynomial by a monomial:
1. Examples
4. Special products of binomials
1. The square of a SUM
2. The square of a DIFFERENCE
3. The product of a SUM and a DIFFERENCE 

Here you are all the vocabulary you need for this unit. Click on the image and review it!

 

Algebra

INTRODUCTION TO ALGEBRA

You can review the vocabulary of the unit in this webpage:

http://quizlet.com/6586283/algebraic-expressions-vocabulary-and-examples-flash-cards/

Some examples to translate into algebraic expressions:

http://quizlet.com/74528686/examples-of-algebraic-expressions-flash-cards/

http://quizlet.com/56433452/algebraic-expressions-flash-cards/

http://quizlet.com/46312237/1-1-algebraic-expressions-flash-cards/

Click here  to review numerical value and the vocabulary.

3-D SHAPES

You can visit this webpage to improve your knowledge about 3D shapes. It has interactive explanations,too. At the end of the explanations, you can take the quiz. Have you understood the lesson?

Watch and listen to this video about solid figures:

Here you are the promissed unit.
Read it and study the new words. Click here to download.


Moreover, you can start doing the activities related to the vocabulary that we have studied in the unit.


Perhaps, you need more practice... Here you are another QUIZ.

Take into account these words to do the word problems.

PRIME NUMBERS and ERATOSTHENES Sieve

PRIME NUMBERS RAP: Listen and watch this song to understand what a prime number is. Have fun!!!!!

ERATOSTHENES SIEVE: You will get prime numbers up to 100 using this method.

PLANE GEOMETRY

PLANE GEOMETRY REVIEW

We are going to study Geometry. But we already studied Geometry last year. Don´t you remember? I am not sure...
So, first of all, you should read the following sheet for remembering
Download it!!!


VOCABULARY REVIEW

Download this file and do the exercises.

REMEMBER that you should know ALL the following words for the next exam: Download KEY WORDS

PEMDAS

    Enjoy yourself watching this video about Order of Operations.It will help you to remember PEMDAS, you know,

Please 

Excuse

My Dear

Aunt Sally

Watch it !!!!!

Now it´s your turn! Practice order of operations with this cross-number puzzle.

Scales

       Practice with scale drawings, models, maps and blueprints. (Thanks to Rubén)
Download this document


          If you need (or want) more exercises to practice scales visit the following website. Try to do the exercises. You can check them online!!!!!!!
http://worksheets.tutorvista.com/scale-drawing-worksheet.html

Have fun!

Similar and Congruent triangles

You can watch this video to review the topic or to understand it better.
Have fun!

PRACTICE, PRACTICE AND PRACTICE.

You can practice solving these problems about similar triangle.

Download the file.

Understanding POWERS!!!!!!

We have already explained POWERS in class.
You can download the following document to understand powers better and to practice with powers and treir properties.
Click here

Ilisten: Please vote

Here you can download the file you have to fill. Put your califications to the songs, and the person you think uploaded it...good luck!

PS.- Send your califications to bbilingualiesgtb@gmail.com

Plot your functions!!

In order to check if you are doing correctly any exercise related to functions part, you can use fooplot.

It´s a great tool to see how a function is

iListen

Hi there! Here you can download the songs we are going to use in the future.

Please download and start listening them!!!

See you in class :)

Making math a game

Math, by nature, is formulaic, which means math classes are often formulaic, too. Students study the unit, learn formulas, learn definitions, take an exam, and then repeat the cycle in the following unit. We wanted to do something a little different with the bilingual section math classes, so we decided to make math a game.

Learning outcomes of games, expecially for exam review, are as good as or better than outcomes from "traditional" ways of instruction. So, we decided to use the American game show "Jeopardy" as inspiration because it's a great way to practice definitions and mathematical concepts. Jeopardy games have five categories, and each category has five questions. The questions are worth between 100 and 500 points, with the idea that the questions that are worth more points are more difficult.

Using a blank template from the Jeopardy Labs website (I highly recommend this site; it has a ton of pre-made templates for all subjects), I created Jeopardy games for 2nd year and 4th year exam review. See the 2nd year game, which was about square roots, here. 

It took the students a bit of time to understand some of the specific rules, like the fact that they had to wait for me to read the question before they could "buzz in" to provide their team's answer. But in the end, the game was a great way to combine math, English and, most importantly, a bit of fun in the classroom. 

Equations

Here you can download some exercises about equations.

Have a good weekend :)

Unit 4: Solutions (II)

Here you have number 7.

Unit 4: Solutions (I)

Here you have the solutions of the first problems sheet: