Outcome A - dpms.psd202.org
32
Outcome A Integers
Transcript of Outcome A - dpms.psd202.org
Outcome AIntegers
Exponents
16 = 2 ∙ 2 ∙2 ∙2 = 24
Product Factors Base Exponent
32 = “3 Squared” = 3 ∙ 3 = 933 = “3 Cubed” = 3 ∙ 3 ∙ 3 = 2734 = “3 to the fourth power” = 3 ∙ 3 ∙ 3 ∙ 3 = 81
Write as a product of the same factor. Don’t solve!53 = 5 ∙ 5 ∙ 5 76 = 7 ∙ 7 ∙ 7 ∙ 7 ∙ 7 ∙ 745 = 82 =
Evaluate (Solve)53 = 5 ∙ 5 ∙ 5 33 = 3 ∙ 3 ∙325 = 82 =
Examples
43 =
42 =
41 =
40 =
PEMDAS VIDEO
Order of Operations
P
E
M
D
A
S
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
In order from LEFT to RIGHT
In order from LEFT to RIGHT
Guided Notes
1. 14 + 12 ÷ 2
2. (14 + 12) ÷ 2
3. 34 + 45 ÷ 3 x 5
4. 34 + 45 ÷ (3 x 5)
5. 2(3 x 32)
6. 2(3 x 3) 2
7. 20 – 4 + (8 – 2) x 2
8. 20 – [4 + (8 – 2) x 2]
Red Card Green Card
1. 16 + 10 ÷ 2
2. (16 + 10)5 - 3
3. 24 + 60 ÷ (3 x 5)
4. 24 + 60 ÷ 3 x 5
5. 5(2 x 32)
6. 5(2 x 3) 2
7. 40 – 4 + (6 – 2) x 2
8. 40 – [4 + (6 – 2) x 2]
Order of Operations
1. 16 - 10 + 2
2. (6 + 10) ÷ 2 x 4
3. 23 + 21 ÷ 3 x 5
4. 2(2 x 3) 2
5. 5 [ 2 + 7(16 ÷ 8)2]
1. 16 - 10 + 2
8
2. (6 + 10) ÷ 2 x 4
32
3. 23 + 21 ÷ 3 x 5
43
4. 2(2 x 3) 2
72
5. 5 [ 2 + 7(16 ÷ 8)2]
150
Vocab
• Absolute Value is the distance away from Zero on a number line. How many steps would you take to get from zero to the number? It’s symbol is two lines. #
• An Integer is a positive or negative whole number.
• The Opposite is the positive or negative *partner* of a number.
For example +7 and -7.
Writing integers1. A loss of 10 yards ________
2. Going up 10 flights of stairs_______
3. Finding $30 _________
4. Getting 3 wrong on a test_______
5. Withdrawing $150 __________
6. Depositing $12,000_________
7. A profit of $50___________
8. 1200 feet below sea level__________
9. An elevation of 15,823 feet__________
10. A debt of $27 ___________
11. A 5 yard gain_____________
12. 3 years ago ________________
13. Scoring 12 points on a test ________
14. 19 feet above sea level __________
15. Losing $100 ___________
Writing integers1. A loss of 10 yards -10
2. Going up 10 flights of stairs + 10
3. Finding $30 +30
4. Getting 3 wrong on a test -3
5. Withdrawing $150 -$150
6. Depositing $12,000 +$12,000
7. A profit of $50 +$50
8. 1200 feet below sea level -1200
9. An elevation of 15,823 feet +15,823
10. A debt of $27 -$27
11. A 5 yard gain +5
12. 3 years ago -3
13. Scoring 12 points on a test +12
14. 19 feet above sea level +19
15. Losing $100 -$100
POD
Compare. Use <, >, or =.
1. –32 32
2. 26 |–26|
3. If par on the mini golf course is 5 and Adam’s
score is -3, how many strokes did he take to get
the ball in the cup?
4. On the ocean poster did you use opposites or
absolute value to calculate the distance?
5. Write the integer for 10 yards below sea level.
POD
Compare. Use <, >, or =.
1. –32 32
2. 26 |–26|
3. If par on the mini golf course is 5 and Adam’s score
is -3, how many strokes did he take to get the ball
in the cup? 2
4. On the ocean poster did you use opposites or
absolute value to calculate the distance? AV
5. Write the integer for 10 yards below sea level. -10
=
<
POD• A rollercoaster begins at ground level. As it takes off it goes to
its highest point of the roller coaster, 350 feet in the air.
• It drops down to the lowest point of the roller coaster, -225 feet in a tunnel underground.
• Then it goes all the way back up to the highest point again.
• How many feet did it travel from the lowest point to the highest point?
• Show your work and explain in complete sentences how you achieved your answer. Use good vocabulary in your explanation if you want to earn all 5 points.
PODSolve the following problems on a number line, by drawing chips, or with
the flow chart.
1. -4 + 10
2. -6 + 4
3. -7 + -7
4. What math problem is show on the number line above?
Solve
5. -7 + -5
+
PODSolve the following problems on a number line, by drawing chips, or with
the flow chart.
1. -4 + 10 6
2. -6 + 4 -2
3. -7 + -7 -14
4. What math problem is show on the number line above?
-6 + 8 or -6 + 8 = 2
Solve
5. -7 + -5 -2
+
What is the absolute value of the temperature change?
1. The temperature changed from -1 degrees to +10 degrees. How much did the temperature change by?
2. The temperature changed from -10 degrees to +10 degrees. How much did the temperature change by?
3. The temperature changed from +6 degrees to -10 degrees. How much did the temperature change by?
4. One balloon is 20 feet in the air the other balloon is 50 feet in the air. What is the distance between the balloons?
5. One dog is on the roof, which is 35 feet above ground. Another dog is in a hole 3 feet below ground. What is the distance between the two dogs?
1. #1: The temperature changed from -1 degrees to +10 degrees. How much did the temperature change by? 11
2. #2: The temperature changed from -10 degrees to +10 degrees. How much did the temperature change by? 20
3. #3: The temperature changed from +6 degrees to -10 degrees. How much did the temperature change by? 16
4. One balloon is 20 feet in the air the other balloon is 50 feet in the air. What is the distance between the balloons? 30 Feet
5. One dog is on the roof, which is 35 feet above ground. Another dog is in a hole 3 feet below ground. What is the distance between the two dogs? 38 Feet
Additive InverseSolve the problems and answer the question.
4 + -4 = -7 + 7 =
(-2) + 2 = 9 + (-9) =
+14 + (-14) = 10 + -10 =
30 + -30 = -54 + 54 =
18 + x = 0 -16 + x = 0
-6 + x = 0 24 + x =
Write a statement explaining what you think Additive Inverse means
Model with chips
(-2) – (-4) + 2 – (-5)
4 – 6 -4 – (+4)
Subtracting integers-4 - -7 7 – (+2)
(-2) - 4 9 + (-10)
Subtracting integers-4 - -7 7 – (+2)
3 5
(-2) - 4 9 + (-10)
-6 -1
Subtracting integers-4 - -12 7 – (+2)
9 + -7 10 – (-6)
(-2) - 4 + 8 9 + (-10) – (+5)
Subtracting integers-4 - -12 8 7 – (+2) 5
9 + -7 2 10 – (-6) 16
(-2) - 4 + 8 2 9 + (-10) – (+5) -6
Yesterday the temperature was 75 degrees, today the temperature is 57 degrees. What is the change in temperature? Absolute Value
Last year Paulina made $420 babysitting. This year she made $375 babysitting. Use an integer to show the difference between the amounts.
A roller coaster is 150 and then plunges 200 feet. How far below ground is the roller coaster?
Yesterday the temperature was 75 degrees, today the temperature is 57 degrees. What is the change in temperature? Absolute Value 132 degrees
Last year Paulina made $420 babysitting. This year she made $375 babysitting. Use an integer to show the difference between the amounts. $45
A roller coaster is 150 and then plunges 200 feet. How far below ground is the roller coaster? -50 feet
1. A submarine was 25 feet below sea level when it descended 12 feet. How far below sea level is it now?
2. If it was -7 yesterday and 20 degrees today, what is the change in temperature?
3. Start with +5, add (-7) then add 12 then subtract (-4).
1. A submarine was 25 feet below sea level when it descended 12 feet. How far below sea level is it now? -37 feet
2. If it was -7 yesterday and 20 degrees today, what is the change in temperature? 27 degrees
3. Start with +5, add (-7) then add 12 then subtract (-4). 14 (not 6, read carefully)
POD1. -6 - 142. -9 – (-9)3. 12 – (-4)
4. Joey had $80. Joey lost $20, Joey gave $24 to a friend. His mom gave Joey his $12 allowance. He spent $6 at CVS. How much money does Joey have now?
5. The quarterback started on the 30 yard line. He was sacked for a loss of 6 yards. On the next play, he gained 12 yards. On what yard line will the next play begin?
NO CALCULTORS
POD1. -6 – 14 -20
2. -9 – (-9) 0
3. 12 – (-4) +16
4. Joey had $80. Joey lost $20, Joey gave $24 to a friend. His mom gave Joey his $12 allowance. He spent $6 at CVS. How much money does Joey have now? $42
5. The quarterback started on the 30 yard line. He was sacked for a loss of 6 yards. On the next play, he gained 12 yards. On what yard line will the next play begin?
The 36 yard line
CC CT Show all work
Jerry had possession of the ball four times in a recent football game. In one play, he gained +30 yards for his team. In another play, he was pushed back by the defense and gained -8 yards. In the last two plays, he gained +18 and -9 yards.
What was his total yardage gained? _________________________________
