What I have learned:

- Perfect square trinomial
- More complex different of squares

Explain What I learned:

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

What I have learned:

- Perfect square trinomial
- More complex different of squares

Explain What I learned:

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

What I have learned:

- algebra tile pieces representing polynomials addition of polynomials subtraction of polynomials distributive property

Explain What I learned:

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

What I have learned:

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

Explain What I learned:

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

What I have learned:

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

Explain What I learned:

- 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
- The independent variable: Independent variables is considered to be the cause of the dependent variable.
- Y = f (X). This type is expressed as Y is the dependent variable, X is the independent variable.
- X-intercept: Y-coordinate is 0.
- Y-intercept: X-Coordinate is 0.

What I have learned:

- Polynomial in a Single Variable
- Addition and subtraction of polynomial expressions
- 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]

What I have learned:

- Ratios of Sides in a Right Triangle
- sin, cos, tan

Explain What I learned:

- The longest side is called the HYPOTENUSE(hyp)
- The side opposite the angle of X° is called the OPPOSTE(opp)
- The third side of the triangle is called the ADJACENT(adj)
- Sine ratio=opp/hyp
- Cos ratio=adj/hyp
- Tangent ratio=opp/adj

What I have learned:

- Conversion Within the Imperial System

2.Comversion Between SI(Metric)and Imperial Systems

Explain What I learned:

- 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

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…

2.What is an entire radical?What is a mixed radical?

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

2.Radicals expressed in the from n√b are called entire radicals. Radicals expressed in the from a(n√b )are called mixed radical.

3. 3√14=√9*√14=√9*14=√126

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.