Pre-AP SPRING SEMESTER REVIEW Flash Cards

FLASH CARD 1:Divisibility Rules (part 1)

On the FRONT…

  1. What’s the Rule for 2?

Check if 2 goes into 43? 110?

  1. What’s the Rule for 5?

Check if 5 goes into 2,225? 554?

  1. What’s the Rule for 10?

Check if 10 goes into 105? 330?

On the BACK…

  1. For 2 – The # ends in an even digit.

43 isn’t divisible by 2. 110 is divisible by 2.

  1. For 5 – The # ends in a 5 or 0.

2,225 is divisible by 5. 554 isn’t divisible by 5.

  1. For 10 – The # ends in 0.

105 isn’t divisible by 10. 330 is divisible by 10.

FLASH CARD2:Divisibility Rules (part 2)

On the FRONT…

  1. What’s the Rule for 3?

Check if 3 goes into 43? 135?

  1. What’s the Rule for 9?

Check if 9 goes into 2,225? 378?

  1. What’s the Rule for 6?

Check if 6 goes into 379? 564?

On the BACK…

  1. For 3 – add all the digits of the # and see if 3 goes into it evenly.

43 isn’t divisible by 3 (4 + 3 = 7 and 7 is not divisible by 3).

135 is divisible by 3 (1 + 3 + 5 = 9 and 9 is divisible by 3).

  1. For 9 –add all the digits of the # and see if 9 goes into it evenly.

2,225 isn’t divisible by 9 (2+2+2+5 = 11 and 11 isn’t divisible by 9).

378 is divisible by 9 (3+7+8 = 18 and 18 is divisible by 9).

  1. For 6 – 2 and 3 go into it evenly.

279 isn’t divisible by 6 because it isn’t divisible by 2.

564 is divisible by 6 (it is divisible by 2 AND 3).

FLASH CARD3:Quadrilaterals

On the FRONT…

  1. Quadrilateral?
  2. Parallelogram?
  3. Rectangle?
  4. Rhombus?
  5. Square?
  6. Trapezoid?
  • Sum of the angles?
  • How do you find a missing angle measurement in a quadrilateral?

On the BACK…

  1. Quadrilateral –4-sided figure with 4 angles.
  2. Parallelogram –4-sided figure with opposite sides parallel and congruent. Opposite angles are also congruent.
  3. Rectangle –Has 4 sides. Opposite sides are parallel & congruent. 4 right angles.
  4. Rhombus –Has 4 sides. Opposite sides are parallel & all 4 sides are congruent. Opposite angles are congruent.
  5. Square –Has 4 sides. Opposite sides are parallel & all 4 sides are congruent. 4 right angles.
  6. Trapezoid –Has 4 sides, with exactly 2 parallel sides.

(DRAW a figure for each quadrilateral.)

  • Quadrilateral – Sum of the angles = 360o
  • Find a missing angle measurement in a quadrilateral by adding the 3 angle measurements you know and subtracting that total from 360o.

FLASH CARD4:Triangles

On the FRONT…

  1. Equilateral Triangle?
  2. Isosceles Triangle?
  3. Scalene Triangle?
  4. Acute Triangle?
  5. Right Triangle?
  6. Obtuse Triangle?
  • Sum of the angles?
  • How do you find a missing angle measurement in a triangle?

On the BACK…

  1. Equilateral Triangle –All 3 sides are congruent; all 3 angles are congruent.
  2. Isosceles Triangle –Exactly 2 sides are congruent; exactly 2 angles are congruent.
  3. Scalene Triangle –No sides are congruent; no angles are congruent.
  4. Acute Triangle –All 3 angles are acute (less than 90o).
  5. Right Triangle –Exactly 1 right angle (90o) and 2 acute angles.
  6. Obtuse Triangle –Exactly 1 obtuse angle (more than 90o & less than 180o) and 2 acute angles.

(DRAW a figure for each triangle.)

  • Triangle – Sum of the angles = 180o
  • Find a missing angle measurement in a triangle by adding the 2 angle measurements you know and subtracting that total from 180o.

FLASH CARD 5:Perimeter and Area (Rectangles, Squares, and Triangles)

On the FRONT…

  1. Perimeter of a rectangle?
  2. Perimeter of a square?
  3. Perimeter of a triangle?
  4. Area of a rectangle?
  5. Area of a square?
  6. Area of a triangle?

On the BACK…

  1. Formula for perimeter of a rectangle: P = 2 x (length + width) OR

P = 2 x length + 2 x width

  1. Formula for perimeter of a square: P = 4 x side length
  2. To find perimeter of a triangle: Add all of the SIDES
  3. Formula for area of a rectangle: A = length x width
  4. Formula for area of a square: A = s2 (A = side length x side length)
  5. Formula for area of a triangle: A = (base x height) ÷ 2

FLASH CARD 6:Volume

On the FRONT…

Volume of a rectangular prism?

On the BACK…

Formula for volume of a rectangular prism: V = length x width x height

FLASH CARD 7:Circles

On the FRONT…

  1. Circumference of a circle?
  2. Area of a circle?
  3. How does diameter compare to radius?
  4. How does radius compare to diameter?

On the BACK…

  1. Formula for circumference of a circle: C = 2 x π x radius OR C = π x diameter
  2. Formula for area of a circle: A = π x radius x radius
  3. diameter = 2 x radius
  4. radius = diameter ÷ 2

FLASH CARD 8:Probability

On the FRONT…

How do you find the probability or chance that something will happen?

On the BACK…

Probability = the number of successes in an experiment

the total number of times the experiment is attempted

FLASH CARD 9:Using Tree Diagrams to find Combinations

On the FRONT…

Example: Sarah has either a long-sleeved spirit shirt, a short-sleeved spirit shirt and a spirit sweatshirt that she can wear with her jeans, black slacks, or khaki slacks. Make a tree diagram to answer these questions…

(1) How many different combinations can she make?

(2) What is the probability she will wear her long-sleeved spirit shirt with khaki slackson Monday?

On the BACK…

START

Long-sleeve Short-sleeve Sweatshirt

Jeans Black Khaki Jeans Black Khaki Jeans Black Khaki

1 2 3 4 5 6 7 8 9

(1)Combinations: 9

(2)P(Long-sleeved shirt with khaki slacks) = 1 out of 9 OR 

FLASH CARD 10:Integers in real-life situations

On the FRONT…

  1. What words help you determine if an integer is positive?
  2. What words help you determine if an integer is negative?

On the BACK…

  1. “Positive” words: above—rise—earn—ascends—increase—gain—
  2. “Negative” words: below—drop—spend—descends—decrease—loss—

FLASH CARD 11:Stem-and-Leaf Plots

On the FRONT…

  1. What does a stem-and-leaf plot look like? How do you “read” a stem-and-leaf plot?
  2. When do you use a line plot?

On the BACK…

Stem LeafHow Long It Takes to Get to School

02 2 4 5 5 5 8 8

1 0 0 1 2 3 3

2 1

Key: 1 2 means 12 minutes

In this plot, each “leaf” represents one person’s time to get to school when it’s put with the “stem.”

  1. You use stem-and-leaf plots with data that covers a small range of numbers.

FLASH CARD 12:Line Plots

On the FRONT…

  1. What does a line lot look like? How do you “read” a line plot?
  2. When do you use a line plot?

On the BACK…

Number of pets owned by NRMS teachers

x

x

x

xx

xxxxx

01 2345

In this plot, 1 “x” over the 0 means 1 teacher doesn’t have any pets; 5 “x’s” over the 1 means 5 teachers have 1 pet each.

Each “x” represents a teacher.

  1. You use line plots with small amounts of data.

FLASH CARD 13:Mean (or average)

On the FRONT…

  1. How do you find the mean (or average) of a set of values?
  2. What is the mean (or average) of this set? 10, 20, 30, 40

On the BACK…

  1. First, add the set of values, and then divide by the number of values (how many there are).
  2. First, 10 + 20 + 30 + 40 = 100, and then 100 ÷ 4 = 25. The mean (or average) is 25.

FLASH CARD 14:Median

On the FRONT…

  1. How do you find the median of a set of values?
  2. What is the median of this set? 20, 10, 15, 13

On the BACK…

  1. First, put the values in order, and then find the middle of the set of values. (if there are 2 values in the middle, add the 2 values and divide by 2)
  2. First, put in order: 10, 13, 15, 20 , and then 13 + 15 = 28 and 28 ÷ 2 = 14. The median is 14.

FLASH CARD 15:Mode

On the FRONT…

  1. How do you find the mode of a set of values?
  2. What is the mode of this set? 0, 0, 1, 2, 2, 2, 3, 8, 9, 9, 9, 100

On the BACK…

  1. The value that appears most often…First, carefully count how often each value appears (check for ties because there can be more than 1 mode).

It’s also possible for there to be no mode if every value appears the same number of times.

  1. 0, 0, 1, 2, 2, 2, 3, 8, 9, 9, 9, 100. Since 2 and 9 appear the same number of times, they are both the mode.

FLASH CARD 16:Range

On the FRONT…

  1. How do you find the range of a set of values?
  2. What is the range of this set? 0, 10, 50, 51, 52, 60

On the BACK…

  1. Subtract the lowest value from the highest value.
  2. 60 – 0 = 60, so the range of this set is 60.

Pre-AP FLASH CARD 17(PAP):Adding Integers

On the FRONT…

  1. What are the rules for adding integers?
  2. Solve:

(a) 25 + (-18)

(b) 14 + (-31)

On the BACK…

1.Positive + Positive = Positive Add the numbers.

Negative + Negative = Negative Add the numbers.

Positive + Negative OR Negative + Positive Subtract the numbers. If there are more positives,

the answer is positive. If there are more negatives, the answer is negative.

2. (a) 7

(b) -17

Pre-AP FLASH CARD 18(PAP):Subtracting Integers

On the FRONT…

  1. What are the steps for dividing integers?
  2. Solve:

(a) 32 – (-15)

(b) 15 – 22

(c) -45 – 11

(d) -52 – (-20)

On the BACK…

  1. KEEP IT—CHANGE IT—CHANGE IT

Keep the first number the same; change the operation to addition; change the second number to its opposite.

  1. (a) 47

(b)-7

(c) -56

(d) -32

Pre-AP FLASH CARD 19(PAP):Multiplying Integers

On the FRONT…

  1. What are the rules for multiplying integers?
  2. Solve:

(a) -4 • (-7)

(b) 8 • (-7)

(c) -3 • 9

On the BACK…

1.

positive x positive = positive

negative x negative = positive

positive x negative = negative

negative x positive = negative

2. (a) 28

(b) -56

(c) -27

Pre-AP FLASH CARD 20(PAP):Dividing Integers

On the FRONT…

  1. What are the rules for dividing integers?
  2. Solve:

(a)18 ÷ (-6)

(b) -28 ÷ 4

(c)-35 ÷ (-7)

On the BACK…

1.

positive ÷ positive = positive

negative ÷ negative = positive

positive ÷ negative = negative

negative ÷ positive = negative

2. (a) -3

(b) -7

(c) 5