Detergents- Solution Fluency

Define:

In science 9 class, Mr. Horton assigned us groups and asked us to make a hypothesis of which detergents work the best and if it is worth it or not. There were 4 different detergents given: Woolite, Sunlight, Tide, and Ultra-fresh. Our group used a coffee stained cotton to figure out which detergents will work best to remove the stain. Also, if the detergents perform best in cold or hot water. The hypothesis was that the Woolite in hot water will work the best to clean the coffee stain cotton.

Discover:

What kind of stain are we using? We decided to use coffee stained cotton.

What kinds of detergents are we using? We used Woolite, Sunlight, Tide, and Ultra-fresh.

What kinds of water will we be using? We decided to experiment both on cold and warm water.

To gather some information and investigate, we also asked what kind of ingredients does the each detergents contain? According to the research we found out that unlike other detergents, Woolite contained ingredients like anionic surfactant and thickener which preserves the texture of clothing and removing greasy stains. All the other detergents had similar ingredients of removing stains like sodium carbonate, sodium chloride, and sodium dodecylbenzene surfactant.

Deliver:

  

As the result, all the detergents in hot water performed better than in cold water. Ultra-scent in hot water worked the best and the tide in hot water worked the second best. Therefore, Ultra-scent is worth it.

Debrief:

I think the experiment had been improved if one person have added 5 drops of each detergents to make the amount more accurate and equal. Also, we only tested the coffee stained on cotton so we don’t know what will happen on different material cloth and different stain. Overall the lab experiment process went through very well.

Math Inquiry project

My topic for inquiry project was about golden ratio.

The main question was “How Does Golden Ratio Work in Math and Art?”

Further questions: In what ways will golden ratio benefit our future?

Why do we use golden ratio for smartphones, t.v.s, credit cards, and more? Can’t it be another ratio?

 

 

Santa Graph

In math class, we used desmos to graph Santa face. We learned about different types of graphs such as linear function, quadratic function, cubic function, square root function, absolute value function, and rational function. I used the relation, x²+y²=6 to make the face of Santa, Relations (x-0.9)²+(y-0.7)²≤0.1 and (x+0.9)²+(y-0.7)²≤0.1 to make eyes. x²+(y+0.3)²≤0.2 for the nose. I used function, the parabola y=-2x²+9 {xl x∈R, -1.9≤x≤1.9} for Santa hat. Relation, the circular equation x²+(y-9.6)²=0.5 for the round shape on top of the hat. I used function, parabola y=0.2x²-1.2 {xl x∈R, -2.5≤x≤2.5} to draw the top part of Santa’s beard and bottom for y=0.8x²-5 {xl y∈R, y≤0}. At last to draw mouth, I used the basic function y=-1.4 {xl x∈R, -1.2≤x≤1.2}

I mostly used circular equation x²+y²=4, to move the center of circle (0,0) to 2 to right and 2 to up. I would use the equation (x-2)²+(y-2)²=4.

Algebra Tiles Review Math 10 H 2017

  1. How to expand two binomials using algebra tiles

ex) (2x+1)(x+2)=?

(2x+1)(x+2)= 2x^2+5x+2

I used the method FOIL in the distributive property.

(a+b)(c+d)= ab+ad+bc+bd

 

2. How to factor a trinomial Support your work with algebra

ex) (x+1)(x+2)(x+3)=?

(x^2+3x+2)(x+3)

=x^3+3x^2+3x^2+9x+6

=x^3+6x^2+9x+6

First I started with (x+1)(x+2) and expand it, then I multiplied x^2+3x+2 and (x+3)