Algebra2 & Pre-Calculus Portfolio

Worksheets for A: In this first category I did the basic steps on how to solve for a variable. I did that for finding y and z. After finding out what number goes with the variables, I plugged them in to the diagram to find the sides. Once I have found the sides, I drew out the shape of the diagram with the sides that were given. After I drew it I created the shape which is the third picture shown.

Worksheets for B: In this part of the worksheet, I had to use whole numbers and fractions to find variables. After I found what the variables were, I had to substitute them into the diagram shown next to it. I also has to find the perimeter of the diagram. Once I found the sides to the diagram, I had to draw out the diagram on a separate grid paper. After I was done with that, I transferred it onto a thicker piece of paper to form it which is also shown in the last picture.

Worksheets for C: For Puzzle Cube 3, I had to find the variables numbers of w, x, and y. After finding the variables, I had to plug in those numbers into the diagram next to it. I had to multiply some with fractions and others with whole numbers. Once I have found the sides of diagram, I was able to sketch out the shape shown. After shaping it I was able to cut out the shape of the object and form a 3D puzzle piece.

Worksheets for D: On this part of the lesson, I used distribution for x and z. By using that operation I was ale to find the missing variable. After finding those missing variables, I multiplied them with the sides shown on the diagram, according to their variable. Once I have found he sides of the diagram I was able to draw out the solution onto a separate sheet of grid paper. Once I drew it out I had to transfer it onto another sheet of paper to form the puzzle piece.

Worksheets for E: For this worksheet, in order to find the missing variables I had to create an equation by adding one whole side and use your given information. Once you have found what the variables equal to, you multiply the variables with the numbers next to it on the diagram shown on the side. When I found all the sides I drew the diagram on a separate sheet of grid paper to be able to form the 3D object of the puzzle cube piece.

Worksheets for F: On this first part of the worksheet, I was able to find the sides of the 3D object by solving these equations shown in the picture. Once I solved the variables I was able to find the missing sides of the diagram shown on the first paper. I was able to draw out the diagram on a separate grid paper, cut out the shape, and form the puzzle cube F.

Worksheets for G: For puzzle cube G, I had to solve for x, y, and z. Once I found what the variables were equal to, I multiplied them with the numbers next to it on the diagram next to the solved equations. Once I found the sides of the shape, I drew the same shape onto a sheet of grid paper. After drawing it, I cut out the shape, folded and cut the sides that I was suppose to cut, and formed the puzzle cube piece. Now I have 7 puzzle cube pieces and have found 8 solutions to forming a cube.

Here is the link to the solutions I have found for the puzzle cube: http://m.youtube.com/watch?feature=plcp&v=Nqds_vnSheE

By doing all the practices, it helped me understand how to solve the puzzle cube equations.
Homework: Equation Practice 1

Homework: Equation Practice 2

Homework: Equation Practice 3

Homework: Equation Practice 4

Homework: Equation Practice 5

*Graphing Quadratic Functions in Standard Form*

Function: f(x)= a(x-h)^2+k
I this part of the lesson I learned how to graph and identify the vertex, axis of symmetry and intercepts. To find the vertex of h and k, for example f(x)= 2(x+3)^2+1 I had to turn h(3) into a negative and k(1) stays the same. Vertex: (-3,1). Now that I found my vertex I have to find my axis which is x= -3. Since variable a(2) is positive, the parabola will open upward. Then it goes on to finding the x and y intercepts. I can apply this to the real world such as throwing a football or firing a missile because when they go up into the air, they will eventually slow down and return the way it came from.