SP7: Unit Q Concept 2- Finding Trig Function When Given One Trig Function and Quadrant

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Unit K Concept 10: Writing repeating decimal as a rational

In this concept, student will learn about rational number. Students will be able to write the repeating decimal as a rational number without using a calculator. To solve for it, you need to use the sum of infinite geometric series. Students need to find the firs term and the common ratio. To get the common ratio. To find the common ratio, you take the number divided by the preceding number. Finally you plug into the formula and evaluate.

One thing that students need to be careful about it listing out the number. It will give you a completely different number if it is not listed right. Also students should be careful about subtracting the whole number by the fraction.

SP #4: Unit J Concept 4: Partial Function Decomposition

In this problems, student will learn to use their algebra skills to solve this problem. Students will find the common denominator and multiply both the numerator and denominator by what it is missing and solve for it by decomposing it. 

What students need to be careful about when solving for this is foiling all the equations. One mistake will need to a different answer to the problem. Also students should use their calculator to check their work at the end.

SP #5: Unit J Concept 6: Partial Fraction Decomposition With Repeated Factors

In this concept, students will be separating the fractions, in other word, decompose the fraction in order to solve for the variable. This concept is similar to concept 4, in which students need to find the common denominator and multiply the top and bottom by what it is missing and then solve for it by combining like terms and use elimination. However, in this concept, there is a repeated factors.

Students need to be carefu about the repeated factors. The repeated factors need to be listed up to a power. Example: the repeated factors is (x+3)^3 is written as (x+3)(x+3)(x+3)^3. Also students needs to be careful when foiling because of the negative signs. It can change your whole answer.

SP #3: Unit I Concept Concept 1: GraphingExponential functions

***Correction: Range (3, infinity)

In this unit you will be able graph the exponential functions and identify all parts of graph such as x intercepts, y intercepts, asymptote, domain and range. You will use these to graph your logarithmic functions.

One thing that you need to be careful about is H as it is the opposite when you identify it. Another thing you need to be careful about is the range. It depend on your asymptote. If the graph fall below the asymptote, you write it as (-infinity, asymptote)

SP #2: Unit E Concept 7: Graphing Polynomial

The problem is about identifying the end behavior, solving for the factors, and putting it into graphying forms. First you need to factor out the equation. Then decide on the end behavior. Solve for the x intercept and use it to graph.

One thing that you need to pay attention to is the coefficient of the first variable, because it determines your end behavior and how many answer you will get in that equation.

SP #1 Unit E Concept 1: Identifying all parts of quadratics and graphing them

This problem is about identifying the x intercept, y intercept, vertex, and axis of quatratic. The vertex is the (h,k), x intercept is y=0, y intercept is x=0, axis of symmetry is x=h. After finding these, you need to graph it.

To be able to solve and graph it correctly, user needs to pay attention to the negative signs (if any). Also the negative or positive signs in the front of the equation tells whether the graph is up or down. Lastly, the imaginary numbers cannot be plotted.