Sarah's Blog

Neurons are cells in our brain and in our nervous system. It is responsible for processing, transferring, and storing information throughout the brain and the rest of the body. Cell body – contains the cell nucleus, as well as other structures that help the neuron carry out its functions. Dendrites – receives information from other cells. Myelin sheath…

Week 18 – Top 5 things I have learned in Precalc 11

I’ve learned so many new things in precalculus 11. Here are my top 5 things that I have learned this semester: Series and sequences: In an arithmetic sequence, the difference between the terms is constant. The value is called the common difference. The general equation for is An arithmetic series is the sum of…

Week 17 – Sine Law

The sine law can be used for any triangle to determine the length of a side or to find an angle. The formula can be used in this form, or this form, When the variable is in the numerator, it is easier to solve for it. To find the side length, use the first formula….

Week 16 – Applications of Rational Expressions

Rational expressions can be used to solve real-world problems. To solve the problem understand what is being asked, then use a variable for the missing number, write an equation using the given information, and then solve it. Here is a problem involving proportions: How much bleach should be added to 47 L of water to…

Week 15 – Solving Rational Equations

One method for solving rational equations is to cross multiply. However, cross-multiplying only works with two fractions. Ex. Multiply the numerator of the first fraction by the denominator of the second fraction. Then multiply the numerator of the second fraction by the denominator of the first fraction. , , Another way of solving rational equations…

Week 14 – Rational Expressions

A rational expression is a fraction in which the numerator and the denominator are polynomials. Examples of rational expressions: Non-permissible values are like restrictions. The denominator of a fraction cannot be 0 so we have to give restrictions for all values that make the denominator 0. For example, the non-permissible values for the equation, are 0 and…

Week 13 – Reciprocal Linear Functions

The reciprocal is when 1 is divided by the number or function. For example: The reciprocal function of y = 5x – 2 is The graph of y = 5x – 2 looks like this: The graph of looks like this: This is called a hyperbola. The points (0.2, -1) and (0.6, 1) are both…

Week 12 – Solving Systems of Equations Algebraically

This is a linear-quadratic system: y = x + 4 y = x2 + x To solve it algebraically, make sure a variable is isolated, and then substitute the y value of one equation into the other. The variable y is already isolated. Let’s substitute y = x + 4 in the second equation. x…

Week 11 – Graphing Linear Inequalities in Two Variables

To graph a linear inequality in two variables, identify the slope and the y-intercept by making it into the form of y = mx + b. For example: -5 < 2x – y Change it so y is alone on one side —> y < 2x + 5 The slope is 2 and the y-intercept is…

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