Slide 1 : Place the integers
–3, –2, –1, 0, 1, 2, 3, 4, and 5
in the circles so that the three numbers in any line add up to +3.
Slide 2 : Complete the pattern, then use your results to make the indicated prediction.
51 = ______
52 = ______
53 = ______
54 = ______
Predict: the ones’ digit of 543 ______
the tens’ digit of 574 ______
_
Slide 3 : Complete the pattern, then use your results to make the indicated prediction.
61 = ______
62 = ______
63 = ______
64 = ______
Predict the ones’ digit of 6113 ______
Slide 4 : Complete the pattern, then use your results to make the indicated prediction.
41 = ______
42 = ______
43 = ______
44 = ______
Predict the ones’ digit of 429 ______
Predict the ones’ digit of 482 ______
Slide 5 : Complete the pattern, then use your results to make the indicated prediction.
21= _____ 12 = _____
22 = _____ 112 = _____
23 = _____ 1112 = _____
24 = _____ 11112 = _____
Predict:
ones’ digit of 284 = ? 11,1112 = ?
ones’ digit of 243 = ? 111,1112 = ?
_____
Slide 6 : Study the pattern of the ones’ digits in the powers of 3 and the powers of 7. Then predict the ones’ digit of each number.
350 b. 7101
c. 381 d. 744
Slide 7 : True or False?
y² • x³ = (xy)5
46 = 64
z² • z6 = z3 • z4
(312)0 = (123)0
Slide 8 : True or False?
(33)4 = 312
36 + 36 = 312
34 • 33 = 312
39 • 33 = 312
Slide 9 : True or False?
All integers are negative.
The absolute value of every integer is its opposite.
Two integers that are opposites have the same absolute value.
The absolute value of an integer is always positive.
Slide 10 : True or False?
The opposite of an integer is always negative.
The absolute value of a positive integer is the integer
The absolute value of an integer is always greater than the integer.
A positive and negative integer will always add to zero.
Slide 11 : Teri made up a game of darts. Everyone was given a chance to throw 3 darts. If all 3 darts hit the target, list all possible scores that could result. -5 1 10
Slide 12 : In each row, choose the item that does not belong. Be prepared to give the reason for your answer.
A B C D
(-2)(-3)(-7)(4) (-7)(-5) -(-4)(5) (-2)(-3)(5)
2. -(-49) |-49| (-7)2 -72
3. 3a2b2 x3 abc 22y3
Slide 13 : Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76
Note that 3 + 4 = 7
4 + 7 = 11
7 + 11 = 18
Use the same rule to complete the patterns below:
4, 5, _, , , 37
1, 2, , , , , 21
2, 1, , , , , 18
6, 10, , , , , 110
Slide 14 : Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76
Note that 3 + 4 = 7, 4 + 7 = 11, and 7 + 11 = 18
Use the same rule to complete the patterns below:
2, , 10, , , , 74
3, , , 7, , , , 50
5, , , 5, , , , , 65
6, , , 4, , , , 35
Slide 15 : Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76
Note that 3 + 4 = 7, 4 + 7 = 11, and 7 + 11 = 18
Use the same rule to complete the patterns below:
8, , , , 7, , , , 41
, , , , 15, 20
, , , , , , , ,10, 16
4. 10, , , , , 0, , , , ,10
Slide 16 : In the 15th century, European flour merchants used positive and negative numbers. On a flour barrel +5 meant that it was 5 pounds overweight; –5 meant that it was 5 pounds underweight. The following numbers were on 100-pound barrels. Did the five barrels contain more or less than 500 pounds? How much more or less? –2 +6 +3 –6 –3
Slide 17 : Tank is a football fullback. Sometimes he gains yardage (+5 means a five-yard gain). Sometimes he loses yardage (–8 means an eight-yard loss). Determine Tank’s total yardage in each of the following games.
Game 1: +3, +5, +6, +1, +13
Game 2: –2, –6, –1, –2, –4
Game 3: –4, +4, –3, +3, +10, –13
Game 4: –5, +3, +6, –2, +8, –6, +9, –1
Game 5: +6, –7, –5, +10, –3, –8, +5, –10, +8,
+3, +7, –11, –6
Slide 18 : Fill in the missing squares. Each column, row and diagonal should have the same sum. Find the sum. 5 -9 -1 -3 -7 Sum = ____ ?
Slide 19 : Arrange the integers {-4, -3, -2, -1, 0, 1, 2, 3, 4} in the square so that each column, row and diagonal gives the same sum.