2. UNIT 2 REVIEW

3. CUSTOMARY LENGTH 12 inches (in) = 1 foot (ft) 36 inches = 3 feet or 1 yard (yd) 5,280 feet = 1 mile (mi) To change from a larger unit of measure to a smaller unit, MULTIPLY. To change from a smaller unit of measure to a larger unit, DIVIDE. Copy this in your booklet page 12

4. Length American standard 1 mile = 1760 yards = (5280 feet) 1 yard = 3 feet 1 foot = 12 inches 1 mil = 1 / 1,000 inch Metric standard 1 kilometer = 1000 meters 1 meter = 10 decimeters 1 decimeter = 10 centimeters (  1 meter = 100 centimeters) 1 centimeter = 10 millimeters Conversion: 1 inch is defined to be exactly 2.54 cm in July, 1959. (before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)

5. Length American standard 1 mile = 1760 yards = (5280 feet) 1 yard = 3 feet 1 foot = 12 inches 1 mil = 1 / 1,000 inch Metric standard 1 kilometer = 1000 meters 1 meter = 10 decimeters 1 decimeter = 10 centimeters (  1 meter = 100 centimeters) 1 centimeter = 10 millimeters Conversion: 1 inch is defined to be exactly 2.54 cm in July, 1959. (before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)

6. Length American standard 1 mile = 1760 yards = (5280 feet) 1 yard = 3 feet 1 foot = 12 inches 1 mil = 1 / 1,000 inch Metric standard 1 kilometer = 1000 meters 1 meter = 10 decimeters 1 decimeter = 10 centimeters (  1 meter = 100 centimeters) 1 centimeter = 10 millimeters Conversion: 1 inch is defined to be exactly 2.54 cm in July, 1959. (before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)

7. Length American standard 1 mile = 1760 yards = (5280 feet) 1 yard = 3 feet 1 foot = 12 inches 1 mil = 1 / 1,000 inch Metric standard 1 kilometer = 1000 meters 1 meter = 10 decimeters 1 decimeter = 10 centimeters (  1 meter = 100 centimeters) 1 centimeter = 10 millimeters Conversion: 1 inch is defined to be exactly 2.54 cm in July, 1959. (before this, the UK inch measures 2.53998 cm, while the US inch was 2.540005 cm)

8. The distance around the outside of a shape is called the perimeter. 8 cm 6 cm 8 cm 6 cm The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm. First we need to find he length of each side by counting the squares.

9. Now find the perimeter of these shapes. They are not drawn to scale. 3cm 5cm 7cm 3cm 4cm 3cm Perimeter = 18cmPerimeter = 22cmPerimeter = 28cm

10. Take a walk around the edge! The perimeter is… 32 cm ! This is a regular octagon with sides 4 cm 28

11. - 16 -16 r = -23 -23 + 16 = -7 1) SOLVE R + 16 = -7 1.Draw “the river” to separate the equation into 2 sides 2.Subtract 16 from both sides 3.Simplify vertically 4.Check your answer by substituting your answer back into the problem

12. 2) SOLVE X + 2 = -3 GET THE VARIABLE BY ITSELF. WHAT IS YOUR FIRST STEP? 1.Add 2 to both sides 2.Subtract 2 from both sides 3.Add 3 to both sides 4.Subtract 3 from both sides Answer Now

13. 3) SOLVE 8 = M - 3 1.m = 5 2.m = 11 3.m = 24 4.m = 8/3 Answer Now

14. APPLICATION Clare had 9 bears. After she gave away some bears to her brother, Clare still had 3 bears. How many bears did Clare give away? 9 – ? = 3 Clare had some bears. After she gave away 3 bears to her cousin, she had 6 bears left. How many bears did Clare have to begin with? ? – 3 = 6

15. NEGATIVE NUMBERS - THIS TIME THE SCALE IS HORIZONTAL 0123456-2-3-4-5-6

16. CAN YOU ORDER THIS SET OF NUMBERS STARTING WITH THE COLDEST? 20 5 - 2 - 15 10 - 20

17. -5 5 0 10-10 A number line has many functions. Previously, we learned that numbers to the right of zero are positive and numbers to the left of zero are negative. By putting points on the number line, we can graph values. If one were to start at zero and move seven places to the right, this would represent a value of positive seven. If one were to start at zero and move seven places to the left, this would represent a value of negative seven. +7-7

18. -5 5 0 10-10 +7-7 Both of these numbers, positive seven (+7) and negative seven (-7), represent a point that is seven units away from the origin. The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number as follows: 5 The absolute value of five is five. -3 The absolute value of negative three is three.

19. LET’S PRACTICE 1.-1 2.5 3.6 4.-19 5.-179 6.57

20. EXAMPLE 2: (-2 ) + 5 1.Our car starts from 0 facing right. 2.It then backs up 2 units (to the left) because it sees the - sign.

21. EXAMPLE 3: 5 – 3 1.Our car still starts at 0 facing right. 2.It then moves forward 5 units.

22. EXAMPLES OF ADDITION Four more than eleven 4+11 14 increased by 2 14 + 2 The sum of 9, 4, and 11 9 + 4 + 11

23. EXAMPLES OF SUBTRACTION 34 decreased by 11 34 -11 17 less than 30 30 - 17 27 take away 10 27 - 10

24. EXAMPLES OF EQUALS The sum of 4 and 19 is 23 4 + 19 = 23 The difference of 14 and 5 is 9 14 - 5 = 9 15 less than 6 becomes 9 15 – 6 = 9

25. EXAMPLES OF EQUALS The sum of 4 and 19 is 23 4 + 19 = 23 The difference of 14 and 5 is 9 14 - 5 = 9 15 less than 6 becomes 9 15 – 6 = 9

26. UNIT 2 REVIEW Review Questions on page 84 and 85 #1-40