#### Creating a Hologram Projector for Smartphone using a CD- Case

#### What you will need:

- CD case
- Tape or super glue
- Pen
- Scissors
- Utility knife or glass cutter

The dimensions should be 1 x 3.5 x 6 cm. You can actually double or triple the sizes for a better effect, but this is a good start for now.

*(kuya helped me to cut and glue all the sides together)*

In the next video, I will explain how it works.

I have learned that in order to make it work, you need to ensure that you the dimensions of each triangle should have the correct measurement

Quarter Two Lessons

**Goal 1. Reviewing Factors and Multiples**

**Factors****multiples**are products of numbers

**Goal 2. Reviewing Prime and Composite Numbers**

**Prime numbers**have exactly two factors while**composite numbers**have more than than 2 factors.Also, a composite number can be written as product of two numbers, neither of which is itself.- Zero
**(****0)**and one**(1)**are neither prime or composite

**Goal 3.Understanding Prime Factorization**

**Prime factorization**is a way of expressing a composite number as a product of prime factors.- The
**prime factors**of a counting number is also its**prime divisor.**

**Goal 4. Finding GCF and LCM**

- The GCF of a set of numbers is the greatest divisor of the numbers in the set
- The LCM of a set of numbers is the least dividend for the numbers in the set

**Goal 5. Applying GCf and LCM in Solving Word Problems**

- Some word problems can be easily solved by finding LCM or GCF of numbers.
- We can easily solve problems if we understand the problem first

**Goal 6. Understanding Fractions**

- Some fractions represent a set of numbers known as rational numbers.
**A rational number**is any number that can be expressed as a ratio of a whole number and a counting number.- If
**a**and**b**are numbers, a fraction is written as a/b, where**a**is the numerator and**b**is the denominator. Also,**b**is never 0.

**Goal 7. Comparing Fractions**

If the cross-product is used to compare fractions:

- start by getting the product of the numerator if the first fraction and the denominator of the second fraction;
- then multiply the denominator of the first fraction by the numerator of the second;
- finally, compare the first product with the second product.

**Goal 8. Ordering Fractions**

- Change dissimilar fractions to similar fractions first before arranging them in order.
- To order similar fractions, compare the numerators and arrange them together

**Goal 9. Simplifying Fractions **

- To simplify a fraction, divide its numerator and denominator by their GCF

**Goal 10. Understanding Mixed Numbers and Improper Fractions**

- A
**mixed number**is composed of a whole number and a fraction - To change an improper fraction to a mixed number, divide the numerator by the denominator and then express the remainder as a fraction.

**Goal 11. Adding and Subtracting Fractions**

- To add or subtract dissimilar fractions, change them first to similar fractions
- Simplify the sum or difference by changing improper fractions into a mixed number.Express the fraction part of the mixed number in simplest form.

**Goal 12. Renaming and Subtraction Mixed Numbers**

To subtract mixed numbers whose fractions are dissimilar:

- change the fractions to similar fractions before subtracting them
- if the fraction part of the mixed number in the minuend is less than the fraction part in the subtrahend, regroup and rename the mixed number;
- subtract the whole numbers and the fractions; and
- simplify the answer when necessary

**Goal 13. Multiplying Fractions**

To multiply fractions:

- Get the product of the numerators over the product of the denominators.
- Simplify the product of the fractions whenever possible.

**Goal 14. Multiplying Mixed Numbers**

To multiply mixed numbers:

- Change the mixed numbers to improper fractions first before multiplying them.
- Simplify the product by changing improper fractions to mixed numbers and/ or expressing the fractions in simplest form.

**Goal 15. Using Reciprocals in Dividing Fractions**

- When a number is multiplied by its reciprocal, the product is 1
- The shortcut for dividing fractions is to multiply the reciprocal of the divisor by the dividend
- Express the quotient in simplest form

**Goal 16. Dividing Mixed Numbers**

To divide mixed numbers:

- Change the mixed numbers to improper fractions.
- Divide the fractions by multiplying the reciprocal if the divisor by the dividend.
- Express the quotient in simplest form

**Goal 17. Solving More Problems Involving Fractions**

- Understand the problem very well to find out what strategy will be used to solve it.
- Always check whether the answer makes sense.