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WEEK NINE

Kate

This past week, we learnt how to graph quadratic equations.

We need to understand parent functions to begin

parent functions:

The parent functions’ vertex is located on the origin, (0.0). The vertex is the point of intersection of the parabola, the axis of symmetry.

This graph represents y=x2

example:

We are given a quadratic equation, let’s say: x^2 +6x – 16

Vertex form: y= a(x + p) -+q

We need to complete the square in order to change it from general form to vertex form.

6 ÷ 2 = 3          3^2 = 9

Now we re-write the equation as:

y = (x^2 + 6x + 9) -9 – 16

y = (x + 3)^2 – 25

We can now graph general form because it has officially been transformed into vertex form. The vertex form is where the coordinates are located. x= -3, and y= -25.

to graph it, the y value increases by one, then 3, then 5, then 7, then 9 and it keeps going up by 2 every time.

 

WEEK FIVE

Kate

this week we learned how to divide, multiply, subtract and add radicals

ADDITION:

if the radicands are the same you can add the coefficients

2√2 + 8√2 = 10√2    ✅︎

4√5 + 7√3                ❎

if the radicands are different simplify it if possible

2√16 + 3√4 = ?

16 = 4 x 4,   4 = 2 x 2 (a pair of numbers becomes one)

↳ 2 x 2√4

↳ 4√4 + 3√4 = 7√4

SUBTRACTION:

there are the same rules in subtraction as there are in addition

5√5 – 3√5 = 2√5

MULTIPLICATION:

multiply the coefficients together, then multiply the radicands together, then if possible simplify

2√4 + 8√3 = 16√12

↳ 16√12 = 32√3,    32√3 is the final answer

 

WEEK FOUR

Kate

in week four we learned how to simplify radicals

mixed radical: 2√4              entire radical: √16

both equal 4

how to get a mixed radical: √16

Find two factors that equal to 16 to simplify an entire radical . Find the highest perfect square factor and a second factor that, when multiplied by the first, produces the number 16. I got 4 and 4. factor them to their lowest point you’ll end up with 2√ 2 x 2 which equals to 2√4 which equals to √16.

this is now a mixed radical.

if you want to simplify a mixed radical then you are essentially reversing all steps just done.

how to simplify a mixed radical: 3√4

first you have to square 3, 3^2 = 9, now we have to time 9 by 4 which equals to 36.

so your final answer is: 3√4 = √36

which you can actually simplify more if its a perfect square if not you have to estimate

√36 = 6

inquiry

Kate

artist name: Kate van Veen

title: Hibiscus for summer

artist statement:

The strength and sensitivity of clay, and how at different phases it needs either a firm hand or a kind one, never cease to inspire me. I switch from turning the wheel to making things by hand, and am having fun experimenting with coil building, molding and pinching. I find that new creating processes engage me more. Wether it’s adding volume to soft slabs or watching a pot take shape slowly as each coil is added, as opposed to rapidly forming shapes on the wheel, it tests your patience and determination.

inquiry process:

My inquiry project was a painting but I couldn’t finish it, so instead now I chose my hibiscus mug to use for my inquiry. it has meaning because hibiscus flowers represent the summer and tropical areas. when i was kid i used to go to Mexico and Cuba i the winter and there would be hibiscus flowers there. i struggled with the over glaze and making fine lines for the flowers but in the end I am very satisfied with the product. some things that went well was making the mug and how the underglaze held.

Sgrafitto Tile Process

Kate

my sgrafitto tile process:

I had made multiple tiles, the first one I made was taken, the second tile I made molded, the third tile I made was used for my final project, I had to first roll out the clay, then I had to compress it. After I compressed it I cut out the shape with the tool, i had to wait for it to get leather hard before I could paint and cut out the sgrafitto. I had to bake it then glaze it, then bake it again.

final product: