Posted in Second Quarter

Quarter Two Math Lessons

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 are numbers that we multiply, and multiples are products of numbers

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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

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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.

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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 and b are numbers, a fraction is written as a/b, where a is the numerator and 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

  • 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.

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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.


I am a smart, kind and cheerful 10 year old. My hobbies include playing the piano and playing online games.

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