Category Archives: Math 10

Foundations of Mathematics Pre – Calculus 10 Core Competencies

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My Artifact Is An 8.2 Extra Practice Sheet From My Trigonometry Unit, In 8.2 We Were Learning About Sine and Cosine


Communication

Communicating

Examples of where I communicate clearly and purposefully can be seen in my trigonometry homework. I get extra practice sheets to go along with the lesson I learned that day. I communicate clearly on these extra practice sheets by showing my work and achieving the correct answer on the problem I had to solve. 

Thinking

Critical and Reflective Thinking

I used to think trigonometry was difficult at the start of the unit because I’ve never learned it before and now I know that it’s not as difficult as it looks because I learned how to do trigonometry and the different aspects of it and how to apply it to word problems, complex triangles and different types of triangles. I learned this through lessons taught my teacher and taking notes down so I can comprehend how to do trigonometry.

I use evidence to make judgements or decisions as demonstrated in this artifact. In this picture of my trigonometry extra practice sheet, I use my notes taken down in class and ally the notes taken and the knowledge I received and apply it to my extra practice sheets where I use all these resources to help me make decisions and judgment calls on how to solve these problems correctly.

Linear and Non-Linear Equations

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Linear Equations

2x – 3y = 12

This is a linear Equation. I can tell from the graph about because all points connect together in a straight line. I can tell from the equation because its uses the form Ax + By = C and my equation is 2x – 3y = 12, this indicates that it is a linear equation.

X = 4

This is a linear equation. I can tell from the graph because its shows a clear straight line of the connecting points all the way through. I can tell from the equation because it contains no exponents in the equation, which indicates that it is a linear equation.

Non – Linear Equations

x2 + y2 = 16

This is a non – linear equation. I can tell from the graph because all points do not connect in a straight line, they form a circle. I can tell from the equation because the equation contains exponents, which indicates it is a non – linear equation.

y = 2x

This is a non – linear equation. I can tell from the graph because the line curves and is not a straight line all the way through. I can tell from the equation because it contains an exponent, which indicates that the equation in non – linear.

Self Assessment

I explored mathematical ideas using technology when i used the app DESMOS on my computer, which calculated my mathematical equation i chose and created a graph out of my equation, illustrating if it was either linear or non – linear equation.

I analyze data and used criteria to draw conclusions when i examined my graph and drew conclusions to if it was a linear or non – linear equation. I then concluded with how the graph and equation indicate how it is either a linear or non – linear equation.

I justified my conclusions with evidence when i downloaded the graph that was created with my mathematical equation in DESMOS and pasted it into my edublog post to represent evidence of my linear or non linear equation.