Week 18- Top 5 Things I Learned

The semester is coming to an end, this class has been one of the most difficult but also rewarding classes I’ve ever taken as into has taught me not only the importance of C, D, P, E, U, but it has also taught me things about myself and my learning. Here are the top 5 […]

Week 16- Applications of Rational Equations

Applications for Rational Equations are questions relating rational equations to real life situations and circumstances. Hints/Steps: 1. Read through problem carefully to understand what is being asked 2. Decide where you will need to introduce a variable in place of an unknown number 3. Create an equation based on the given information 4. Solve the […]

Week 17- Trig Summary

GENERALLY Trigonometry definition: trigonometry can be defined as simply as the mathematics involving the relationships between side lengths and angles of a triangle. New vocabulary: terminal arm: the line found within any of the 4 quadrants, creating an angle coterminal angles: angles that share the same initial and terminal sides quadrantal angles: angles that lie […]

Week 15- Fractional Equations

This week in chapter 7.5 we began solving Fractional Equations, when dealing with Fractional equations it’s important to remember that you must SOLVE as opposed to SIMPLIFYING, which is related to expressions as opposed to equations. This also means that after solving you should be left with a value that will be equal to x. […]

Week 14- Equivalent Rational Expressions

This week we began chapter 7, the first lesson of chapter 7 was on equivalent rational expressions for example are all equivalent rational expressions, also known as fractions. The definition of a rational number is “the quotient of two integers” whereas a rational expression can be defined as “the quotient of two polynomials”. Since these […]

Week 13- Reciprocal Functions

In this lesson (8.3,4,5) we started graphing and understanding reciprocal functions of linear and quadratic equations. Reciprocal linear functions: Reciprocals of linear functions will always create a “2 part graph” this is referred to as a hyperbola, a hyperbola of a linear graph will always have two “swooping L” shaped lines exactly opposite each other […]

Week 12- Absolute value and reciprocal functions

This week we started the “Absolute value and reciprocal functions” unit. This first lesson focused mainly on the shape of the graph that will result from graphing an absolute value of both a line and a parabola. When you graph the absolute value of an equation, any part of the line or parabola that may […]

Week 11- Graphing quadratic inequalities in 2 variables

Similarly to graphing linear inequalities in 2 variables, the goal is to determine where on the graph is the solution “true”. When talking about linear 2 variable inequalities, the graph will be shaded one side of the line (the shaded side contains the solutions that make the equation “true”). However, since every quadratic equation will […]

Week 10- Infinite Geometric Series

In an infinite geometric series, the series gradually and eventually diverges or converges, this means that there may not always be a determinable sum because the values will continue increasing and there will theoretically always be another value in the series; it’s never ending I.e infinite   Infinite vs Finite series: In a Finite series, […]

Week 9- Modeling Problems with Quadratic Functions

Modeling problems with quadratic functions can be very difficult. It is essentially solving a word problem via determining the relationships between the variables presented in the problem. To solve these types of problems: Firstly remember that quadratics work for 2 missing variables, this is important to remember when determining the variables. Next, to start solving, […]