Absolute Value - cpb-us-e1.wpmucdn.com€¦ · Day 1 April 08, 2019 Mar 1811:22 AM Order Of...
Transcript of Absolute Value - cpb-us-e1.wpmucdn.com€¦ · Day 1 April 08, 2019 Mar 1811:22 AM Order Of...
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Day 1 April 08, 2019
Mar 188:33 AM
Ordering Rational Numbers and Absolute Value
Place the following numbers in order:
Absolute value is always positive! It is the distance from 0.
|6| = |6| = |6| =
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Combining Integers
Same signs add and keep
Different signs subtract
Larger number takes the sign
Then you'll be exact!
1. 6 + 3 2. 6 3
3. 6 + 3 4. 6 3
5. 6 + 3 6. 6 + 3
7. 6 (3) 8. 6 (3)
10 2 3 4 5 6 7 8 9 1012345678910
Write a number sentence to model the number line below:
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Day 1 April 08, 2019
Mar 188:34 AM
Multiplying and Dividing Integers
Multiplication and Division Rules
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1. (½)(¾) 2. ¼ (4)
3. (4)(5) 4. (5) (3)
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Properties
Commutative Order changes
Associative PropertyGroup Changes
Distributive PropertyMultiply everything in parentheses by the number outside the parentheses
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Day 1 April 08, 2019
Mar 1811:22 AM
Order Of Operations
3 + 4 x 2
Mar 1811:22 AM
Combining Like Terms
‐25 ‐ 5y + 2x + 5 – 3y ‐ x
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Attachments
math 7 milestones trivia.pptx
Trivia Answer Sheets.docx
Trivia Score Keeper.xlsx
7th grade milestones Trivia
How to Play
Math Trivia is played on teams, you will work with your teams and use your study guide and notes to answer questions
We will play in rounds, there are 3 rounds in the first half of the game and 3 rounds in the second half of the game
The trivia questions come from your study guide. Your team must agree upon the answer before you turn it in.
How to Play
In each round you will use points, for the first half the point values are 5, 3, & 1
You may only use each point value once per round
Write your team #, points and answer on your answer cards
One person per team will bring the answer card to me
You have until the end of one song to turn in an answer for each question
Round 1
Round 1 Question 1
Solve and Graph the following inequality
-3x + 9 > 0
Answer
X < 3
Round 1 Question 2
Mary bough a pair of jeans and a sweater. The pair of jeans costs $30 and the sweater costs $35. If sales tax is 6%, how much did Mary spend in total for the jeans and sweater?
Answer
$68.90
Round 1 Question 3
. Julio is designing a kitchen. He drew a scale drawing of the kitchen as shown.
The perimeter of the scale drawing is 10 inches. The actual length of wall A will be 8 feet. What will be the perimeter of Julio’s actual kitchen?
Answer
40 ft
Round 2
Round 2 Question 1
Simplify
(5x-2)-(7x-6)
Answer
-2x + 4
Round 2 Question 2
The original price of a camera was $60. It was on sale at a 20% discount. After the discount there was 6% sales tax. What was the final price of the camera?
Answer
$50.88
Round 2 Question 3
Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $750 in graduation money that she puts it into an account that earns 4.25% interest. How much will be in Kelly’s account at the end of four years?
Answer
$877.50
Round 3
Round 3 Question 1
What is the surface area of the triangular Prism
Answer
96 ft2
Round 3 Question 2
A grab bag contains 4 football cards and 8 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.
Answer
2/9 = .22
Round 3 Question 3
Answer
About 188 eagles
For the half time question you must wager points
You may wager between 0-6 points
If you get the answer correct you earn the points, but if it is incorrect you lose the points
Half Time Question
HALF TIME QUESTION
A stalk of corn that is 6.5 feet tall casts a shadow that is 5 feet long. How tall is a person standing next to the corn if they cast a shadow that is 4 feet long?
Answer
5.2 ft
Second Half
Point Values are now 2, 4 & 6
You still may only use each point value one time per round
Round 4
Round 4 Question 1
Use the table below to answer the following.
Miles1248
Feet5,28010,56021,12042,240
How many feet are in five miles?
Answer
26,400 ft
Round 4 Question 2
18 is 30% of what number?
Answer
60
Round 4 Question 3
You want to make oatmeal raisin cookies for your neighbor and mother. For one batch of cookies, the recipe calls for 16 ounces of raisins, but you are doubling the recipe.
Ounces163264
Cups124
How many cups of raisins do you need?
Answer
2 cups
Round 5
Round 5 Question 1
What percent of 60 is 18?
Answer
30%
Round 5 Question 2
Are the following statements are either true or false.
3:17 is equivalent to 17:3
2:5 is equivalent to 4:15
3:8 is equivalent to 9:24
Answer
False – you cannot change the order of the values and have equivalent ratios
False – you have to multiply both parts of the ratio by the SAME number to get an equivalent ratio
True 3:8 = 9:24, you can multiply 3 and 8 by 3 to get 9 and 24, or you can divide 9 and 24 by 3 to get 3 and 8
Round 5 Question 3
At the grocery store, you can buy 6 cans of soup for $2.10 or you could buy them individually for $0.65 each. Which is the better deal? Why?
Answer
Buying 6 cans for $2.10 is the better deal, because the unit price is $0.35 per can instead of $0.65 per can to buy them individually
Round 6
Round 6 Question 1
Aaron is an architect that has designed a building that will have 25 floors. The builder has built up to the 15th floor. What percentage of the 25 floors does the builder have left to build? Use pictures, tables, or number sentences to solve this task. Explain your reasoning.
Answer
40% left to build
Round 6 Question 2
One week while she was training for a marathon, Lucy ran a total of 175 kilometers.
Use the table below to answer the question. Explain your reasoning.
Kilometers0.51
Meters5001000
How many meters did she run?
Answer
175,000m
Round 6 Question 3
Julian currently has a balance of −$10.48 in his checking account. His bank requires him to maintain a minimum balance of $20. How much does Julian need to deposit into his checking account to reach the minimum balance?
Answer
$30.48
Final Question
For the final question you must wager points
You may wager between 0-15 points
If you get the answer correct you earn the points, but if it is incorrect you lose the points
Final Question
The dance committee has a budget of $125 to decorate the gym for the spring dance. They have already spent $65. Some members want to buy helium balloons that cost $0.80 each. Write and solve an inequality to show the number of balloons that the dance committee could buy.
Answer
SMART Notebook
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
Team Number
Points: 5 3 1 (circle one)
Answer
SMART Notebook
Sheet1
Round 1Round 2Round 3Halftime ScoreRound 4Round 5Round 6Total
Teamq1q2q3q1q2q3q1q2q3q1q2q3q1q2q3q1q2q3
1
2
3
4
5
6
7
8
9
Sheet2
Sheet3
SMART Notebook
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