Download Algebra II SOL Calculator Prep Verify solutions using your graphing

Algebra II SOL Calculator Prep Verify solutions using your graphing calculator! The purpose of this document is to show students how to verify and check their answers on the TI‐84. These are the calculator keystrokes that teachers can demonstrate to their students. The following problems are taken from the 2013 Released SOL test. Expressions and Operations (SOL AII.1, AII.3) Store Key: One of the easiest ways to verify solutions is to use the Store key. Store a unique number greater than or equal to 10 for each variable and then type the problem and the different answer choices. Make sure to try all multiple choice answers. If two choices match, the simplified answer is the best solution. Keystrokes: Home screen: Fractions: Make the fractions look like the original problem and answers! This will prevent careless mistakes when entering problems into the calculator. Keystrokes: Home screen: to select the n/d template AII.1a – Rational Algebraic Expressions (#1) Numerical Checks for Multiple Choice Instructions! http://mathbits.com/MathBits/TISection/Algebra1/CheckNumerical.htm AII.1b – Radical Expressions (#4) Radical Expressions Instructions! http://mathbits.com/MathBits/TISection/General/BasicUseSkills.htm Henrico County Public Schools ‐ 2015 AII.1c – Radical & Rational Notation (#6) To enter the index of 4, select and AII.1d – Factor Polynomials (#3) Factoring Instructions! http://mathbits.com/MathBits/TISection/Algebra1/Factoring.htm
AII.3 – Complex Numbers (#2, #12 TEI) Complex Numbers Instructions! http://www.mathbits.com/MathBits/TISection/Algebra2/complexgc.htm
Complex Numbers: These problems can be typed in directly on the home screen! The imaginary key is located above the decimal. These values can be typed into the home screen. The answers are given in exponential form. ‐3x10^‐13 is essentially 0. So, the answers above are –i and i. Alternate: Use the numeric function iPart Henrico County Public Schools ‐ 2015 Equations and Inequalities (SOL AII.4, AII.5) Graphing Equations: One method of solving absolute value equations is via graphing. In doing so, you will split the equation into two parts and look for the intersection(s) on the graph. Step 1: Draw a vertical line through the equal sign. Label the left side of the equation as Y1 and the right side of the equation as Y2. Go to “Y=” and enter both expressions. Step 2: Graph the equations by pressing the Graph button. Step 3: Find the points of intersection from the graph. Select Calc and Intersect. Absolute Value Equations and Inequalities Instructions! http://mathbits.com/MathBits/TISection/Algebra2/absolutevalue.htm AII.4a – Absolute Value Equations (#24) 1) Go to the graphing menu: 2) Type in the expressions for Y1 and Y1. 3) Graph the expressions. 4) Select Calc and Intersect. check both points of intersection! Make sure to AII.4a – Absolute Value Inequalities (#18) This can be done via graphing and substituting points or via truth tables. In Y1, type the entire inequality. Press 2nd/Test to view the inequality symbols. Graph the inequality. When the x‐coordinate satisfies the inequality, the y‐coordinate equals 1. Otherwise, the y‐coordinate equals 0. The graphs states that x satisfies the inequality between ‐6 and ‐2. Henrico County Public Schools ‐ 2015 AII.4a – Absolute Value Inequalities (#15) To graph inequalities, go to the menu and select the Inequalz app. Use the F1‐F5 keys to select the inequality and type in the rest. Graph it and you are done! Quadratic Equations Instructions! http://mathbits.com/MathBits/TISection/Algebra1/Quadratic1.htm
AII.4b – Quadratic Equations (#16) 1. Write the equation in Standard Form and set equal to zero (Ax2 + Bx + C = 0). 2. Identify the coefficients A, B, and C. 3. Go to the PLYSMLT2 APP and choose #1. 4. The degree of the polynomial (order) is 2. 5. Select a+bi. 6. Press Graph (Next) and enter A (a2), B (a1), and C (a0). 7. Press Graph (Solve). The solutions will appear. Press Graph to convert between decimals and fractions. If your solution is complex (imaginary), then most times you will see “…” appear at the end of the numbers. This means you should scroll to the right. 8. Confirm any exact irrational solutions by going to the home screen. Match your radicals to the decimals you found. AII.4c – Rational Equations (#23) Rational Equations Instructions! http://mathbits.com/MathBits/TISection/Algebra2/rationalequations.htm
1) Go to the graphing menu: 2) Type in the expressions for Y1 and Y1. 3) Graph the expressions. Henrico County Public Schools ‐ 2015 Change your window scale to view the intersections on the graph. or 4) Select Calc and Intersect. check both points of intersection! Make sure to Using the TABLE menu to solve equations: Another method of solving equations is via the TABLE menu. In doing so, you will split the equation into two parts and examine the table values for equality. AII.4d – Radical Equations (#17) Radical Equations Instructions! http://mathbits.com/MathBits/TISection/Algebra2/radicalequations.htm 1) Go to the graphing menu: 2) Type in the expressions for Y1 and Y1. 3) As an alternate to graphing, you can also type the multiple choice answers in the TABLE menu. Make sure to change the table setup to allow for typing in values. When Y1 = Y2, you have found your solution! AII.5 – Systems of Non‐Linear Equations (#20) Systems of Non‐Linear Equations Instructions! http://mathbits.com/MathBits/TISection/Algebra1/systems.htm 1) Solve each equation for y and enter in the graph menu. 2) Change your window scale to view the intersections on the graph 3) Select Calc and Intersect. intersection! or Make sure to check both points of Henrico County Public Schools ‐ 2015 Functions (AII.6, AII.7, AII.8) AII.6 – Function Families (#29) Graph the four answer choices! Which one fits the parent? AII.7a – Domain and Range of Functions (#27) Graph the four answer choices! Examine the graphs! AII.7b – Zeros of Functions (#30) Zeros of Functions Instructions! http://mathbits.com/MathBits/TISection/Algebra2/zerofunctions.htm
Method 2: Using the Graph 1) Enter the equation into Y1: 2) GRAPH the function. 3) Select Calc and Zero Method 1: Using the Table 1) Enter the equation into Y1: 2) Type the multiple choice answers in the TABLE menu. Make sure to change the table setup to allow for typing in values. When Y1 = 0, you have found your solution! Henrico County Public Schools ‐ 2015 AII.7c – X‐ and Y‐Intercepts of Functions Zeros of Functions Instructions! http://mathbits.com/MathBits/TISection/Algebra2/zerofunctions.htm AII.7d – Increasing and Decreasing Intervals AII.7e ‐ Asymptotes Asymptotes Instructions! http://mathbits.com/MathBits/TISection/Trig/asymptotes.htm AII.7f – End Behavior Graphing End Behavior Instructions! http://mathbits.com/MathBits/TISection/General/GraphEndBehavior.html
AII.7g – Inverse of Functions Inverse Functions Instructions! http://www.mathbits.com/MathBits/TISection/Algebra2/inverse.htm 1) Enter the function into the Y= menu. 2) Go to the Home screen and press [2nd][PRGM][8] to insert the DrawInv function. 3) Press [ALPHA][TRACE] and choose the name of the function you entered. 4) Press [ENTER] to display the graph of your function and draw the inverse of your function. 5) If the answers are functions, enter the functions into the Y= menu and graph each one.
AII.7h – Composition of Functions (#43) Composition of Functions Instructions! http://mathbits.com/MathBits/TISection/Algebra2/composition.htm 1) Enter f(x) into Y1 and g(x) into Y2: 2) Enter the expression for the composition into Y3. 3) Turn off the first two entries (press [ENTER] on the =) so only the composition of the graphs/tables appear. 4) Type the answer choices and compare the graphs or table! Note: If the problem asked for a value of the composition ‐ Ex: g(f(3)), you can compute this in the home screen by typing Y3(3)! Henrico County Public Schools ‐ 2015 AII.8 – Solutions, Zeros, Intercepts, Factors (#41) Zeros of Functions Instructions! http://mathbits.com/MathBits/TISection/Algebra2/zerofunctions.htm 1) Enter the function into Y1 and graph. Adjust the WINDOW to see all of the intercepts. . 2) To find the x‐intercepts, press CALC (2nd TRACE) and select ZERO Press the arrow keys to move to a point on the graph to the left of the intercept and press Enter. Use the arrow keys to move to the right of the intercept and press Enter. Press Enter to make a guess. Write down the solution shown on the screen. You may need to repeat these steps if multiple zeros are seen. 3) To find the y‐intercepts, press trace initial starting point. Henrico County Public Schools ‐ 2015 and find the value of y when x=0. It should be the Statistics (AII.2, AII.9, AII.10, AII.11, AII.12) AII.2 – Sequences and Series Sequences Instructions! http://mathbits.com/MathBits/TISection/Algebra2/sequences.htm AII.9 – Curve of Best Fit (#46) 1) Clear your lists by pressing Regression Instructions! Linear/Quadratic Regression Exponential Regression Logarithmic Regression Power Regression 2) Press and select Edit in the Edit menu. Enter the x values in L1 and the y values in L2. Quit by pressing 2nd, Mode. 3) Find the line of best fit by pressing Stat ‐> Calc, and the ExpReg option. Store the line of best fit into Y1 by moving down to Store ReqEQ and selecting the button.
4) To determine the specific value, go to the home screen and type Y1(30). You can also set your table to accept entered values. Press to Ask. Press Henrico County Public Schools ‐ 2015 and enter the value. and change the Indpnt AII.11 – Normal Distribution Normal Distribution Instructions! http://mathbits.com/MathBits/TISection/Statistics2/normaldistribution.htm AII.12 – Permutations and Combinations (#48) Permutations and Combinations Instructions! http://mathbits.com/MathBits/TISection/Algebra1/Probability.htm
1) Go to the probability menu by pressing and arrowing over to PROB. 2) Select nPr and enter the values. Henrico County Public Schools ‐ 2015