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 new three years ago - the questions are HARDER and the passing grade is HIGHER!
What does that mean to us? • The state is making the EOGs more challenging… • We have to work harder to be prepared… • 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”…
Come to school EVERYDAY during EOGs! June June June 2 1 3
Eat a good breakfast before the EOGs!
Remember, work slowly and carefully on the tests! “I did my very best!”
Try your hardest on EVERY problem – don’t give up! I’ll just fill in any circle – I’ll just fail anyway!”
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!”
1.) In which list are all three numbers rational? A. 2, 5/9, 36 C. -11, 13, 14 D. 2/5, 0.16, B. 0, 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
YES !!! Math vocabulary is very important! Try to really think about the meaning of the math words!
2.) A museum has an interactive exhibit on mountains. Entering a natural number n causes it to speak the name of the nth highest mountain in the United States. Entering number 16 causes it to say Mt. Mitchell. This exhibit models a function. What is the domain? A. the numbers entered B. the interactive exhibit C. the names of the mountains D. the museum
What is a “domain ?” Think about a GOLF COURSE … • You hit the ball straight out at a driving range – that is the y-axis. Where the ball lands is dependent on where you start!! • You stand on a horizontal line to hit the ball – that is the x-axis. The x-axis is called the domain. Where you stand on that line doesn’t matter, it is independent!! Click here
YES !!! Think about a GOLF COURSE! y-axis – range, dependent x-axis – domain, independent
3.) Simplify: 163 ÷ (9 – 8) - 33 (-2)2 + 3 64 A. -61 B. 61 C. 59 D. -27
Slide 16 Click here 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
Remember order of operations - “Please excuse my dear Aunt Sally.” YES !!!
25 • 1 • 125 • 2 • 250 • 1 • 75 • 2 4.) Julie and Marco were hiking up a hill. They noticed that every ½ hour their elevation changed by 125 feet. What is the slope of this relationship?
Sometimes they make the answers very tricky! It may 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”! CLICK HERE WHEN DONE Slide 16
YES !!! Don’t let them trick you! Always look for answers that may be simplified or written in another “form”!
D. 5.) A function is a relationship where every value of x has a “unique” value of y. Which graph demonstrates a functional relationship? B. A. C.
DON’T FALL for common mistakes! WRONGanswers that students often pick are usually included in the answer choices. Think before you choose! What do you know about functions? Slide 10 CLICK HERE
YES !!! 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%, 36 B. 0, 33.3%, -3/4, 4.2, 12 3 C. 99%, 10, 8/9, 0.36, 27 D. 1, 2/5, 0.16, 11.5%, -0.8
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 sameform! • ALL negatives are less than ALL positives! • Whole numbers are greater than fractions! Click here Slide 28
YES !!! 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% • 75%
Think hard aboutprocedures! Don’t just “jump” at answers that seem right at first glance… % of increase OR decrease = ??? difference original Click here
YES !!! % 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. 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
YES !!! ESTIMATINGbefore you work a problem helps you eliminate choices and determine if your answer is REASONABLE!
9.) How is 26.35 10-4 written in standard form? A. 0.00002635 B. 263,500 C. 0.002635 D. 0.2635
Click here Slide 22 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…
YES !!! Remember, if you are confused – start somewhere! See if you can begin with a small part of the problem first!
10.) Which statement is true? A. -7 > -1.5 B. - 2/3 > - 1/3 C. -2.4 < - 2.46 D. – ½<- 0.2
1 4 3 -4 -3 -2 2 0 -1 Negative numbers can be very confusing – don’t JUMP at an answer – THINK before you write – DRAW a number line! Remember that numbers get smaller as you go left on the number line! Slide 44 Click here
YES !!! Don’t JUMP at an answer – THINK before you write!
11.) 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? B. 20 feet • 192 feet D. 56 feet C. 48 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 43 Click here
YES !!! If you are confused about a problem, try to draw a picture! This will often help you understand the problem.
12.) The expression 0.69x + 0.97y 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… Click here
YES !!! Remember that “about” does NOT mean you need an exact answer! You may not have to work the problem out.
1 3 13.) What is the approximate volume of a cone with a radius of 6 inches and a height of 9 inches? V = r2h A. 113.04 in.3 B. 339.29 in.3 C. 1.017.88 in.3 D. 1,356.48 in.3
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