# Week 10—[Further Factoring]

What I have learned:

1. Perfect square trinomial
2. More complex different of squares

Explain What I learned:

1. (p+q)²=p²+2pq+q²
2. (p-q)²=p²-2pq+q²
3. Replace A by x² and B by 4y² to get (x²-4y²)(x²+4y²) which factors further to (x-2y)(x+2y)(x²+4y²)

# Week 8—[ Addition and Subtraction of Polynomial]

What I have learned:

1. algebra tile pieces representing polynomials addition of polynomials subtraction of polynomials distributive property

Explain What I learned:

1. 5x²-3x²+2x-8x²= -11x²+7x
2. 6x²-5x-2-(3x²-2x+7)=6x²-5x-2-3x²+2x-7= 3x²-3x-9

# Week 6—[ Surface Area and Volume]

What I have learned:

1. Surface Area and Volume for cubes, cylinder, prisms, pyramids, cones, spheres

Explain What I learned:

1. Cylinder: V=π r² h ;
2. Cone: V=1/3(area of base)h ; S=πr²+πrs
3. Square-Based Pyramid: V=1/3(area of base)h ; S=2bs+b²
4. Sphere: V=4/3πr³ ; S=4πr² or πd²

# Week 11—[Variable and Intercept]

What I have learned:

1. The dependent variable and The independent variable
2. X- and Y- Intercepts of a Graph

Explain What I learned:

1. The dependent variable: the function relation between the specific number with another (or several) will change the number of changes and changes, is call the dependent variable
2. The independent variable: Independent variables is considered to be the cause of the dependent variable.
3. Y = f (X). This type is expressed as Y is the dependent variable, X is the independent variable.
4. X-intercept: Y-coordinate is 0.
5. Y-intercept: X-Coordinate is 0.

# Week 9—[Polynomial]

What I have learned:

1. Polynomial in a Single Variable
2. Addition and subtraction of polynomial expressions
3. The distributive property

Explain What I learned:

1.(3a-4b+c)+(3b-5c-3a) = 3a-4b+c+3b-5c-3a = -b-4c

2.(b+c)(a) = ba+ca or ab+ac

# Week 5—[Trigonometric Ratios]

Week 5—[Trigonometric Ratios]

What I have learned:

1. Ratios of Sides in a Right Triangle
2. sin, cos, tan

Explain What I learned:

1. The longest side is called the HYPOTENUSE(hyp)
2. The side opposite the angle of X° is called the OPPOSTE(opp)
4. Sine ratio=opp/hyp

# Week 4—[Conversion within and between the SI and Imperial systems]

What I have learned:

1. Conversion Within the Imperial System

2.Comversion Between SI(Metric)and Imperial Systems

Explain What I learned:

1. 6 ft 7 in to inches: (6*12)+7=79 in

2.2.54cm/1in * 12in/1ft * 1m/100cm = 2.54/1 * 12/1ft * 1m/100 = 0.3048m/ft

1foot=0.3048metces

# Week 3—[Combining exponent laws & Rational Exponents]

What I have learned:

1.Simplifying expressions with multiple exponent laws.

2.How do we deal with negative exponents?

3.How do we deal with fraction exponents?

Explain What I learned:

1. 3x^2*5x^3=15x^5

2.5^4/5^7=5^4-7=5^-3=1/125

3.7^2/3=√7^3

What I have learned:

1.How to simplify square roots,cube roots,fourth roots,etc…

3.Hoe do we convert between the two?

Explain what I learned:

1.Simplify square roots: √250=√5*5*10=5√10    Simplify cube roots: 3√250=3√5*5*5*2=5

3. 3√14=√9*√14=√9*14=√126

# Week 1 – [Prime Factors & Number Systems]

What I have learned: 1.What is a prime?

2.Prime factorization

3.What is GCF/LCM

4.How can we use prime factorization to find GCF & LCM?

Explain what I learned: 1.In a natural number greater than 1, besides 1 and itself, there will be no other number called a prime factor.

2.Each prime number is a factor of the composite Numbers, called the prime factors of the  composite.

3.GCF: Two or more integers have one of the biggest in a few.

LCM:Two or more integer multiples of the public.

4.Division table/Tree diagram.