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TAKS Mathematics Exit Level

TAKS Mathematics Exit Level. Formulas, Rules & Things to Remember. Set a proportion. Degree measure of arc angle. Arc Length. Degree measure of arc angle. Arc Length represented by x. _____ =_____ 360 2 r. x. Formula for CIRCUMFERENCE of the whole circle. x. r.

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TAKS Mathematics Exit Level

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  1. TAKS Mathematics Exit Level Formulas, Rules & Things to Remember

  2. Set a proportion Degree measure of arc angle Arc Length Degree measure of arc angle Arc Length represented by x _____ =_____ 360 2 r x Formula for CIRCUMFERENCE of the whole circle x r Number of degrees in a circle Questions that ask about degrees, arc length, arc area or involve circles, remember to use proportions!

  3. Set a proportion Arc Area Area of Arc, represented by x Degree measure of arc angle Degree measure of arc angle _____ =_____ 360 r² x Formula for AREA of the whole circle x r Number of degrees in a circle

  4. Set a proportion Sample Data & Degrees Sandwiches Sold in One day Based on how many sandwiches were sold per day, if the data was so be shown in a circle graph what would be the degree measure of the angle for Turkey sandwiches? X represents unknown degrees 40 _____ =_____ x 150 360 Answer: 150x=40(360) x=40(360)/150 x=96 The degree measure of the angle would be 96 degrees Total Number of Sandwiches sold Cross-Multiply, solve for x

  5. Set a proportion Sample Data Sample Data Based on the sample data about how many students out of a group of 2,300 are more likely to choose ice skating? Set a proportion Sample Data proportioned to Needed Data 55 _____ =_____ x Answer: 200x=55(2,300) x=55(2300)/200 x=632.5 There would be approximately 633 students out of 2,300 that would prefer ice skating. 200 2,300 Total Number in Sample Cross-Multiply, solve for x

  6. Set a proportion Similar Shapes Big Small Big Small 8 H h h _____ =_____ B b 15 10 Find the height of smaller triangle Answer: 15h=80 h=80/15 h=5.3 8 h _____ =_____ 15 10 Cross-Multiply, solve for h

  7. Area Area of Square= x² Area of rectangle=bxh

  8. Perimeter 12 12 12 P=21 12 P=48 Perimeter is the total of all the sides of a polygon

  9. Special Right Triangles x√2 45, 45, 90 x, x, x √2 x x 2x 30, 60, 90 x, x √3,2 x x x√3

  10. Solving with a 30,60,90 triangle B 30 30, 60, 90 60 Rule: x, x √3,2 x 2x 2400 x 30 C A x√3 What is the distance from AC= (2400 √3)=4156.9 What is the distance from BC= (2(2400))=4,800

  11. Use calculator Finding the x-intercept Given y=x²+x-12 In your calculator go to y= insert the equation 2nd GRAPH and check when y=0, those are the x-intercepts For this particular equation the x-intercept is x= -4, x= 3

  12. Use calculator Finding an Equation For questions that have a table with the x and y values and it is asking you to find an equation that represents the data, you need to use your graphing calculator. • STAT, 1) Edit • Put all the x’s under L1, and all the y’s under L2, • STATCALC, 4)LingReg(ax+b), ENTER • It will give you y=ax+b, the a=is your slope and the b= is your y-intercept. The answer for this particular questions would be y=0.35x

  13. Setting up Equations As a waiter in a restaurant, Steven works 6-hour shifts. He earns $5 per hour and keeps 80% of his tip money. How much tip money does he need to receive per shift to earn a total of exactly $50 before taxes are deducted? Where: y=the total amount earned mx=80% of tips b=hourly earnings (wage) The equation will be set up as y=mx+b 6(5) + .8(t)=50 30 + .8t=50 .8t=50-30 .8t=20 t=25

  14. Volume For volume on the formula sheet the volume of a prism or a cylinder is V=Bh For the cylinder the B, is r² For the prism the B, is lw

  15. Faces, Edges & Vertices This prism has 5 faces, 8 edges, 5 vertices The face are the flat sides. The edges are the intersection of the flat sides. The vertices are the corners or points.

  16. FOIL- Simplified

  17. Rules for Simplifying Example (5n-2)3n-(5n-2)(n-1) FOIL 1st step: 15n²-6n-(5n²-5n-2n+2) 2nd step: 15n²-6n-5n²-7n+2 3rd step: 10n²-13n+2 combine like terms

  18. Finding the percent (%) The original price of a car is 20,000. Joe bought the car for 15,000. What percent of the original cost did Joe save? (20,000-15,000) _____________X 100= % (20,000) 5,000/20,000 x100= 25% Joe saved 25% from the original price of the car.

  19. Mean, Median, Mode MEAN is the average MODE is the one that repeats the most MEDIAN is the number in the middle when you put the numbers from least to greatest RANGE is the difference between the biggest number and the smallest number. (big# - small#)

  20. Rules Negative & Positive Numbers The bigger sign indicates that the positive number is bigger than the negative number. The bigger sign indicates that the negative number is bigger than the positive number.

  21. Things to Remember ANGLES & DEGREES • A Circle has 360 degrees • A line is 180 degrees • A triangle has180 degrees • A right angle has 90 degrees • Complementary angles total 90 degrees • Supplementary angles total 180 degrees LINES • When the slope of two lines is the same regardless of the y-intercept the lines are parallel (they don’t intersect). • Solution is where two linesintersect

  22. More things to Remember FUNCTIONS • A function is when all the x values DON’T repeat EX: (0,1) (1,5) (-1,3) (10,0) Function (-10,1) (1,0) (1,1) (5,3) NOT a Function, 1’s repeat DEPENDENT & INDEPENDENT VARIABLES • Y= is the output, dependent variable • X= is the input, independent variable DOMAIN & RANGE • Domain is all the x-values • Range is all the y-values

  23. LIVE PRACTICE Go to the following link on your laptop: http://ritter.tea.state.tx.us/student.assessment/resources/online/2009/taks_g11_math/11math.htm When finished, notify Mrs. Tanksley to have your score recorded.

  24. Notes

  25. Notes

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