EOG Math Strategies Race to the Finish Sharon

EOG Math Strategies Race to the Finish! Sharon Norman, Leland Middle, Brunswick County

Some important things for you to know about this year’s EOGs…

The math EOGs were brand new year before last – the questions are HARDER the passing grade is HIGHER! HIGHER

What does that mean to us? v The state is making the EOGs more challenging… v We have to work harder to be prepared… v What worked before may not work now…

Not only do you need to work HARDER now, BUT you also need to work SMARTER! Let’s look at some STRATEGIES that will help you “work smarter”…

Get a good night’s sleep before the EOGs!

Eat a good breakfast before the EOGs!

Remember, work slowly and carefully on the tests! “I did my very best!”

Ø Try your hardest on EVERY problem – don’t give up! I’ll just fill in any circle – I’ll just fail anyway!”

Ø If you can narrow it down to two good choices – choose the best of the two! “Well, I know it’s either A or C, but I think C is better so I’ll mark C!”

Let’s practice and learn some tips for success…

1. ) In which list are all three numbers rational? A. 2, 5/9, 36 C. -11, 13, 14 B. 0, D. 2/5, 0. 16, 3, 4. 2

Math vocabulary is very important! Pay attention to the math words and think about their meaning. Slide 13 CLICK HERE WHEN DONE

Math vocabulary is very important! Try to really think about the meaning of the math words!

2. ) Simplify: 163 ÷ (9 – 8) 33 A. -61 B. 61 C. 55 D. -27 (-2)2

ALWAYS use Order of Operations! Your calculator is a tool – use it! 1. ) Parenthesis (and other grouping symbols) 2. ) Exponents 3. ) Multiplication or division, left to right 4. ) Addition or subtractrion, left to right Slide 16 Click here

Remember order of operations “Please excuse my dear Aunt Sally. ”

3. ) What is the ratio of the volume of the smaller cube to the volume of the larger cube? 4 cm 6 cm A. 86/216 C. 16/36 B. 8/27 D. 4/9

Sometimes they make the answers very tricky! It does not look like the answer is here, BUT…. It is! Here’s a hint: Always look for answers that may be simplified or written in another “form”! Slide 16 CLICK HERE WHEN DONE

Don’t let them trick you! Always look for answers that may be simplified or written in another “form”!

4. Name two alternate exterior angles in the diagram below. 5 1 2 6 3 7 4 8 A. <3 and <7 B. <6 and <3 C. <6 and <8 D. <4 and <5

What do you know about parallel lines cut by a “transversal? ” Vertical angles Complementary angles Supplementary angles Alternate interior angles Alternate exterior angles Click here

Many different types of angles are created by parallel lines cut by a transversal!

5. ) What is the surface area of the cube? 8 in. A. 24 in. 2 B. 384 in. 2 C. 512 in. 2 D. 116 in. 2

DON’T FALL for common mistakes! WRONG answers that students often pick are usually included in the answer choices. Think before you choose! What are they REALLY asking for? Slide 10 CLICK HERE

Remember, common wrong answers are often included as choices – take your time and think before you write!!!!

6. ) Which list shows the numbers in order from greatest to least? A. 2, 5/9, 1. 815, 67% B. 0, 33. 3%, 3/4, 4. 2 C. 99%, 10, 8/9, 0. 36 D. 1, 2/5, 0. 16, 11. 5%

Read carefully to see what the question asks for: greatest to least OR least to greatest ! Remember: • Numbers are easiest to compare when they are written in the same form! • ALL negatives are less than ALL positives! • Whole numbers are greater than fractions! Slide 28 Click here

To compare numbers, change them to the same form – usually decimals! Be sure you know WHAT the question is asking for!!

7. ) The manufacturer’s price for a tent is $19. 50. A camping store that buys the tents sells them for $39. 75. What is the approximate percent of increase in the price of the tents? A. 50% B. 104% C. 200% D. 75%

Think hard about procedures! Don’t just “jump” at answers that seem right at first glance… % of increase OR decrease = ? ? ? difference original Click here

% of INCREASE or DECREASE can be found by putting the difference over the original and then dividing!

8. ) A 5 -ounce box of strawberry gelatin costs $0. 52 and a 3 -ounce box costs $0. 59. Approximately what is the difference in cost per ounce between the larger and smaller boxes? A. $0. 10 B. $0. 75 C. $1. 50 D. $0. 45

Remember, you want to work “smarter” NOT “harder”! Always ESTIMATE before you work the problem… Hmm… This helps you ELIMINATE choices AND helps you know if your answer is REASONABLE! Click here

ESTIMATING before you work a problem helps you eliminate choices and determine if your answer is REASONABLE!

9. ) How is 26. 35 standard form? A. 0. 00002635 B. 263, 500 C. 0. 002635 D. 0. 2635 10 -4 written in

If a question seems confusing think about it in small parts! You can think… 1. ) Do I know what 10 - 4 means? (Or use the calculator to find this part!) 2. ) Then look at the rest of the problem… Slide 22 Click here

Remember, if you are confused – start somewhere! See if you can begin with a small part of the problem first!

10. If 50 digital cameras were included in the survey shown, about how many of them cost from $300 to $400? CD Burners Digital Cameras 0 100 200 300 400 500 600 700 A. 25 C. About 37 B. About 12 D. 50

Remember: A box-and-whisker plot divides the data into four equal parts! Lower extreme Upper Extreme Lower Quartile Outlier! Upper Quartile Median Click here!

Remember to look for “outliers. ” These are data points that are a distance away from the other data points.

11. ) Which statement is true? A. -7 > -1. 5 B. - 2/3 > - 1/3 C. -2. 4 < - 2. 46 D. – ½ < - 0. 2

Negative numbers can be very confusing – don’t JUMP at an answer – THINK before you write – DRAW a number line! -4 -3 -2 -1 0 1 2 3 4 Remember that numbers get smaller as you go left on the number line! Slide 44 Click here

Don’t JUMP at an answer – THINK before you write!

12. ) A rectangular piece of land measuring 16 feet by 12 feet is going to be divided diagonally into two congruent sections. One section will be covered with grass, and the other section will be paved. How much fencing would be needed to go around the grass section after it is divided? A. 192 feet B. 48 feet C. 168 feet D. 56 feet

Sometimes, if you do not understand a problem, drawing a picture of what is happening will help! Start drawing and labeling the gardens… 12 ft 16 ft Slide 48 Click here

If you are confused about a problem, try to draw a picture! This will often help you understand the problem.

13. ) The expression 0. 69 x + 0. 97 y gives the cost of x bunches of green onions and y cucumbers. About what is the cost of 8 bunches of green onions and 6 cucumbers? A. $11 B. $16. 87 C. $8 D. $24. 56

The word about in this problem means that you do not need to have an exact answer! Use the information that is given to make a reasonable estimate… Slide 78 Click here

Remember that “about” does NOT mean you need an exact answer! You may not have to work the problem out.

14. ) What is the approximate volume of a cone with a radius of 6 inches and a height of 9 inches? V= A. 113. 04 in. 3 B. 339. 29 in. 3 C. 1. 017. 88 in. 3 D. 1, 356. 48 in. 3 1 3 r 2 h

When you see a formula think: “SUBSTITUTE” and SOLVE! 1. ) Rewrite the formula, substituting numbers in place of variables wherever you can! This is called “substituting!” 2. ) Solve for the variable that is left by using inverse (or opposite) operations! This is called “solving!” Click here

“Substitute” and then “Solve!”

15. ) A copying machine reduces a 12 inch line segment to 10. 5 inches. At this setting, what would a 16 -inch line segment become? A. 12 inches B. 14 inches C. 16 inches D. 18 inches

ALERT! Alert! If you see 3 numbers given as part of the data and they are looking for a 4 th piece of data, that should alert you to a POSSIBILITY! Use LABELS to set it up! Click here

Be alert and look for places where proportions may be used! Remember to use labels so that the numbers are placed in the correct place in the proportion!

16. ) Sara is looking at a drawing showing two similar triangles. Use the drawing to find the approximate distance across the river from point K to point T. T M 9 ft 12 ft L 18 ft N A. 15 ft. B. 18. 5 ft. C. 13. 5 ft D. 12 ft. K

You can find missing measurements on similar triangles if you have some of the important data! What data do you need? 1. A pair of “corresponding” sides that have measurements AND… 2. A side that “corresponds” to the unknown side that has a measurement. Click here

Similar polygons have “corresponding sides” AND congruent angles. Put the polygons in the same position to find the corresponding sides and congruent angles!

17. Robert is drawing a house with a scale of ¼ inch = 2. 5 foot. If the dining room on the drawing is 2 ½ inches long, what is the length of the dining room? A. 25 feet B. 62. 5 feet C. 15 feet D. 36 feet

ALERT! How many pieces of data are given? ? Click here

Remember that scale drawing problems are often PROPORTIONS problems!!!

18. ) Figure PQRS figure JKLM. Which of the following completes this proportion? PS JM A. KL B. LM C. PQ D. JK = QR ?

Just checking to see if your paying attention!! What kind of figures are these? ? Use LABELS when setting up your proportion!!!! Click here

Use labels and be alert to situations that may be proportional!!

19. If a student, Frank, had a pretest score of 6 on his math test, what must his posttest score be for his percent of increase to be 50 percent? A. 3 B. 8 C. 9 D. 12

REMEMBER!!! % of increase OR decrease = ? ? ? difference original Click here

Remember how to find percent of INCREASE or percent of DECREASE!

20. Aaron is cutting out letters for his science fair backdrop. He printed a capital T on his computer in font size 48. When he measured the letter, he found that it was 11 millimeters tall. About how tall should a capital T be if Aaron uses font size 72 to print out a capital T? A. 14 millimeters B. 17 millimeters C. 22 millimeters D. 33 millimeters

What can you do if you’re not sure HOW to start? • Read the question again – slowly and carefully. Try to really understand the words!!! • Ask yourself, “What are they asking me to find? ” (Look at the question. ) • Identify the “data. ” (Decide if there is any unnecessary data…) • See if drawing a diagram can help. Try it! (Label your drawing!)

• THINK about all of the different types of problems you have learned to solve… Could it be any of those? • See if you can “substitute” answers into the problem and see if they work? • If that doesn’t work, start somewhere! TRY something!! DON’T GIVE UP… • Ask if answers that you find are REASONABLE!

This is a PROPORTION problem!

You DID a GREAT job. Keep up the good work! Do your BEST on the EOGs!!! LMS Tigers will succeed!!!