Author: Connor

This week in Math I learned how to use both the sine and cosine law to solve for all the missing sides of a triangle. For the sine law, you need to have at least 3 parts of the triangle and one of them must be a side and angle pair. With those 3 things you can solve any triangle. With the cosine law, you need 3 parts about the triangle but they don’t have to be a side angle pair. My wonder for this week is if there is a way to solve a triangle if you have less than 3 points of information about the triangle.

This week we learned about trigonometry and about different kind of triangles. We also learned about how triangles can be put on a grid and may have 2 possible answer to one triangle. The grid for triangles has a certain quadrant where each one is either positive of negative so that when you graph it you have to know which quadrant it goes in. I also learned about how Soh Cah Toa can help you with the formulas because Sin is y/r, Cos is x/r, and Tan is y/x. I wonder if its possible to solve triangles that don’t have a right angle.

This week I continued to learn about adding and subtracting rational expressions. I also learned how to solve the rational expression using algebra and other ways such as cross multiplying. My wonder for this week is if its possible to multiply bigger rational expressions with numbers that aren’t rational expressions.

This week I learned about both inequalities and rational expressions. I learned how to both multiply and divide then to solve for x. Another thing I learned this week was a little bit about adding and subtracting rational expression. I learned that some of the same rules still apply as if you were adding and subtracting normal fractions. This week my wonder is if its possible to have multiple variables in one rational expression.

This week I learned how to multiply and divide Rational expressions. The same rules apply with fractions with variables as fractions without. I learned that you need to add restrictions to what the variables are so that the denominator is not 0 or else the question is impossible. I wonder if its possible to use larger fractions and if you can add or subtract fractions with variables in them. Another question I have is it its possible to have negative variables in the fraction.

This week I learned how to write out quadratic equations that were word problems. I also learned how to solve the equations and find out what x is. I learned how to solve and graph inequalities just by looking at the graph or the equation. I wonder if its still possible to graph the inequalities if the degree of x is greater than 2.

This week I learned about the other possible ways to write a quadratic equation and the information it gives you about the graph. I also learned that you need at least 3 points on the graph to find out what the graph looks like. I wonder if its possible to find a graph using less than 3 points on the graph and without finding the vertex.

This week I learned how to use Desmos to convert a quadratic equation into the graph form. I also learned how to find out many clues with only one of the possible forms of the equation and how to use a T chart to solve the equation. I wonder if its possible to find a quadratic equation that has a stretch value in fraction form.