Semester 2 Math

What Did We Learn?

Prime and Composite Numbers

How Do you tell if a number is prime or composite and why in the world would you need to know!?! It is important to know about prime and composite numbers because any integer can be decomposed in to prime numbers. Now the question is, how do you tell if a number is prime or composite? Well,that's the easy part!

Prime Factorization

Now it's time to learn Prime factorization. Prime Factorization is breaking down a composite number to find all of the prime factors. Below is an example of prime factorization.

Square Roots and Irrational Numbers

Vocabulary

Square Root- a number multiplied by itself to get a product.

Irrational Number- A real number that cannot be expressed as a fraction because the decimal goes on forever with no repetition.

Quick Reminders

- Irrational numbers cannot be written as a/b

- Numbers such as 0.05 are called terminal numbers

How To Solve

To find a square root, you multiply a number by itself.

Ex: 3x3= 9

The square root of 9 is 3.

Recipe Project

In third quarter, we did a project that continued in to each class. We were assigned a a vegetable from our school garden, In math, we chose a recipe with that vegetable in it. We converted fractions to fit different situations such as feeding a class, feeding a school, and feeding a group. Throughout this project, we strengthened our fraction skills.

Applications and Problem solving (In normal people words: Word Problems)

Steps to solving a word Problem:

  1. Familiarize with the problem
  2. Translate
  3. Solve
  4. Check
  5. State answer
Example:

If Johnny had 7 apples but gave away 3, How many apples are left?

Step 1: Familiarize

If Johnny had 7 apples but gave away 3, How many apples are left?

Step 2: Translate

If Johnny had 7 apples but gave away 3, How many apples are left? = 7-3

Step 3: Solve

7-3=4

Step 4: Check

7-3=4

4+3=7

Step 5: State Answer

Johnny has 4 apples left.


Intro to Pythagorean Thm

axa+bxb=cxc

This is the simple equation that begins your study of the Pythagorean thm.

We used these websites to help us with our studies:

http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.PYTH&lesson=html/video_interactives/pythagoras/pythagorasInteractive.html


http://www.shodor.org/interactivate/activities/PythagoreanExplorer/


There are many interesting interactive activities, instructions, and practice problems on these sights.

Dimensional Analysis

What is Dimensional Analysis?

Dimensional analysis is the process of analyzing units to decide which conversion factor to use.

How to convert units:

Step 1:

What units of measurement do I want to know/ have in answer?

Step 2:

What do I know?

Step 3:

What do I need to know?

Step 4:

Solve (canceling units first)



Below in the picture is an example

The End!

That was a short summary of what we learned over the second semester in Math. These were just a few of the many things tat we learned!!