Math 7 Flipbook March 30, 2018

Transcription

1 Place the following numbers in order: Absolute value is always positive! It is the distance from 0. 6 = 6 = 6 = Ordering Rational Numbers and Absolute Value Mar 18 8:33 AM 1

2 Same signs add and keep Different signs subtract Larger number takes the sign Then you'll be exact! ( 3) 8. 6 ( 3) Combining Integers Mar 18 8:34 AM 2

3 Multiplication and Division Rules (½)( ¾) 2. ¼ (4) 3. ( 4)( 5) 4. ( 5) (3) Multiplying and Dividing Integers Mar 18 8:34 AM 3

4 + Commutative Order changes Associative Property Group Changes Distributive Property Multiply everything in parentheses by the number outside the parentheses Properties Mar 18 8:35 AM 4

5 3 + 4 x 2 Order Of Operations Mar 18 11:22 AM 5

6 5(5 y) + 2x + 5 3y x Combining Like Terms Mar 18 11:22 AM 6

7 Step 1 Undo addition or subtraction Step 2 Undo multiplication or division 1. Solving Equations Mar 18 11:23 AM 7

8 Distribute (if necessary) Combine like terms ( if necessary) Undo addition and subtraction Undo multiplication or division Check your Answer Solving Multi Step Equations Mar 31 9:52 AM 8

9 < > Less than Fewer than Below Greater than More than Above Less than or equal to At most No more than Greater than or equal to At least No less than Special Rule: when multiplying/dividing both sides of the inequality by a negative FLIP the inequality symbol!! 4x 12 < 56 Solving Inequalities Mar 18 11:23 AM 9

10 Ratios Comparing 2 items Ratios Mar 19 8:26 AM 10

11 1/3 of a gallon of paint covers 1/8 of a wall. How much paint is needed for the entire wall? Rate and Unit Rate Mar 19 8:29 AM 11

12 Is It Proportional? (Proportion 2 equal fractions) 1. 4/2 and 20/6 2. 4/3 and 16/12 Proportions Mar 19 8:32 AM 12

13 Graphs are proportional when _they form a line and it passes through the origin y = kx where k is the constant rate or the constant of proportionality Constant of Proportionality Mar 19 8:33 AM 13

14 1. 25 % of is what % of 80 Percent of a Number Mar 19 8:37 AM 14

15 A $30 sweater is 20% off. What is the new price? What is the final cost if tax is 5%? Tax, Tip, Discount Mar 19 8:43 AM 15

16 new old old Markups and Mark downs Apr 11 10:04 AM 16

17 I = PRT time years rate % principal $ interest PRT Apr 12 9:11 AM 17

18 vertical vertical vertical vertical Supplementary = 180 complementary = 90 Angles Mar 19 8:50 AM 18

19 Triangle Inequality Theorem the sum of any two sides of a triangle is greater than the length of the third side What is the possible lengths of the third side if the triangle has a side length of 5 and 12? Triangles Mar 28 12:52 PM 19

20 Circumference distance around the circle or Identifying Key Words and Phrases Area 2 Area Square Units Area Total Space Covered Size of Circumference Distance around How long How many revolutions Outer Edge Circumference and Area Mar 19 8:51 AM 20

21 Find the area of ALL FACES & ADD them together! Rectangular PRISM SA = 2(lw) + 2(lh) + 2(hw) Units must be squared! Surface Area Mar 19 8:51 AM 21

22 V (cube/rectangular prim) = Bh = lwh V (triangular prism) = bhl 2 area of the base w Units are cubed! Volume Mar 19 8:51 AM 22

23 Cross Section a 2 dimensional figure that is formed when you slice a 3 D figure. Slices can be perpendicular or parallel. Parallel slices always form the base! Cross Sections Mar 19 8:51 AM 23

24 Measures of Center Mar 19 8:55 AM 24

25 IQR = Q3 Q1 Box Plots Mar 19 8:56 AM 25

26 Probability of 1 event P = # desired outcomes total outcomes What is the probability of rolling a 2 on a number cube? Simple Probability Mar 19 8:56 AM 26

27 Find the probability of each event OR Add the 2 probabilities AND, THEN, BOTH Multiply the 2 probabilities What is the probability of tossing 2 coins and both of them landing on tails? Compound Probability Mar 19 8:57 AM 27

28 Tree Diagrams show OUTCOMES! Draw a tree diagram for flipping 3 coins. Tree Diagrams Mar 19 8:57 AM 28