Download Geometry SOL Prep Verify solutions using your graphing calculator!

Geometry SOL Prep
Verify solutions using your graphing calculator!
The purpose of this document is to show students how to verify and check their answers. These are the
calculator keystrokes that teachers can demonstrate to their students. The following problems are taken
from the 2013 Released SOL test.
Reasoning, Lines, and Transformations (SOL G.1, G.2, G.3, G.4)
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:
to select the n/d template
Home screen:
No calculator items on these SOLs. 
G.1a – Conditional Statements (#13)
G.1b – Symbolic Form (#1)
Numerical Checks for Multiple Choice Instructions!
http://mathbits.com/MathBits/TISection/Algebra1/CheckNumerical.htm
G.1c – Venn Diagram (#5 TEI)
G.1d – Deductive Reasoning (#8)
G.2a – Determine Parallel Lines
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G.2b – Verify Parallelism (#3, 7, 15 TEI)
Solving Equations Instructions!
http://mathbits.com/MathBits/TISection/Algebra1/SolveEquations.htm
#15
These angles are equal so enter it into Y= menu.
Change your WINDOW settings so you can see
the intersecting lines. Press [2nd][CALC][5]
The x-coordinate is the solution.
G.2c – Real World Problems with Parallel Lines (#9, 18)
G.3a – Formulas (#10, 16)
#16
Solve this problem as if it were a line of best fit.
Step 1: Organize your points and create a table for x and y. Label
your points x1, y1, x2, y2.
Step 2: Enter the x values in L1 and the y values in L2.
Step 3: Find the line of best fit by pressing Stat -> Calc, and the
LinReg (4), Enter, and Calculate.
Finding Slope Instructions!
http://mathbits.com/MathBits/TISection/Algebra1/EquationsLines.htm
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Step 4: For LinReg, the equation is shown on the screen as y = ax
+b, where a is the slope (m) and b is the y-intercept.
#10
Write the ordered pairs: (-1,8) and
(7,-9), label the variables, and enter
in the Home screen.
G.3b – Application of Slope (#11 TEI)
Writing Equations of Lines Instructions!
http://mathbits.com/MathBits/TISection/Algebra1/EquationsLines.htm
#11
Find the slope of the existing line
described in SOL G.3a.
Convert the slope (-.5) to a fraction
on the Home screen.
Apply “Rise over Run” to get
additional points.
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G.3c – Symmetry (#17)
#17
To assist with the problem,
graph both lines of
symmetry.
To graph the vertical line,
turn on the Inequalz app
and select X= in the top left
corner.
Transformations Instructions!
G.3d – Transformations (#14) - None
http://mathbits.com/MathBits/TISection/Geometry/Transformations.htm
http://mathbits.com/MathBits/TISection/Geometry/Transformations2.htm
G.4 – Constructions (#2, 4, 6, 12) - None
Triangles (SOL G.5, G.6, G.7, G.8)
G.5a – Triangle Inequalities (#24)
G.5b – Triangle Inequalities
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G.5c – Triangle Inequalities (#31)
#31
Look at ALL 3 scenarios for EACH choice:
G.5d – Triangle Inequalities (#21 TEI)
#21
Type in the values on the Home screen.
G.6 – Prove Congruent Triangles (#20, 23, 27, 30)
#23
Identify the angle
measures of EVERY angle
in EACH triangle.
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G.7 – Prove Similar Triangles (#26, 29, 32)
#26
Identify which ratios are equal.
G.8 – Right Triangles (#19, 22, 25, 28)
SOH CAH TOA
#19
cos 20 
x
80
Make sure your calculator is set up
in degree mode! Press [MODE]
Working with Trig Ratios Instructions!
http://mathbits.com/MathBits/TISection/Algebra1/TrigRatios.htm
Here’s a trick. If you type the
degree symbol, the calculator
automatically switches to degrees!
Type cos(20 and then [2nd][APPS]
to get the degree symbol.
#22
This can be done using truth tables. Type the equation on the Home screen. Press
2nd/Test to view the equal symbol.
A value of 0 means it is FALSE. A value of 1 means it is TRUE.
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#28
SOH CAH TOA
sin 38 
20
x
Make sure your calculator is set up in degree
mode! Press [MODE]
Remember, if you type the degree symbol, the
calculator automatically switches to degrees!
Type[2nd][APPS] to get the degree symbol.
Polygons and Circles (SOL G.9, G.10, G.11, G.12)
G.9 – Quadrilaterals (#33 TEI, 39, 44)
Type in the expressions for Y1 and Y1.
#33
Change your window scale to view the
intersections on the graph
or
Press [2nd][TRACE] and select Intersect [5].
#39
Label all of the angle measures in the diagram.
Students must know the diagonals intersect to
form right angles. Identify vertical and other
congruent angles.
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G.10 – Polygons (#34, 42, 47)
#42
The polygon can be made by 4 triangles so the
interior angles add up to 720 degrees (4 x 180).
The two angles add to be 240 degrees. Each one
is 120 degrees.
#47
The octagon has interior angles that measure 135 degrees.
The trapezoid has 2 angles that measure 250 degrees so each is 125 degrees.
The remaining angle has to add with the others to equal 360 degrees.
G.11a – Circles (#37) - none
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G.11c – Circles (#41, 45)
#41
C  2 (40) . The circumference is 251.33 ft.
70
The railing represents
of the whole.
360
#45
A   (5)2 . The area is 251.33 ft.
130
The shaded sector represents
of the whole.
360
Graphing Circles Instructions!
http://mathbits.com/MathBits/TISection/Algebra2/conicsCircle.htm
G.12 – Equation of a Circle (#35, 40, 48 TEI)
#40
To draw a circle, type [2nd][PRGM]. Select circle
[9] from the list. It will start with an open
parentheses. Type your X and Y values
separated by a comma and your radius, then
close the parentheses and press Enter.
Ex: Circle (-4,1,3) where x=-4, y=1 and r=3.
You should select [ZOOM][ZSquare] to draw the
circle on a square axes.
Press TRACE to check the different solutions.
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#48
Draw the Circle as described on the
previous problem. Make sure to switch
the signs on the coordinates!
Three-Dimensional Figures (SOL G.13, G.14)
G.13 – Surface Area & Volume (#36, 43, 49)
#36
Students need to remove the common
side of the composite figure from each
formula.
#43
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#49
G.14a – Comparing Ratios (#38, 46 TEI, 50)
#38
New Box (with height = 7.5)
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#46
Ratio is cubed  27:125. Prove it is correct by comparing it to the ratio of the volumes.
#50
Plug in values of 1 for the radius and
height. The Volume =  .
Keeping the height the same measure, the
formula for the new cylinder would be
4   r 2 (1)
4  r2
G.14b – Change in Dimension Affect - None
G.14c – Affect on Dimension - None
G.14d – Real World Problems - None
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