7 th grade math week of 8/18/14. monday: bell work 1) 7.2 + 4.31 = 2) 3.8 – 1.25 = 3) round to...
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7th Grade Math
Week of 8/18/14
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Monday: Bell Work
• 1) 7.2 + 4.31 =
• 2) 3.8 – 1.25 =
• 3) round to tenths- 2.9547
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1. Estimate
What does this word mean to you?
This word actually means…..find an answer close to the exact answer.
Examples… Explain how you would use this word in math.
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Lesson
• Absolute Value and Opposites: 7. NS.1a Describe situations in which opposite quantities combine to make 0.
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Lesson
• Absolute Value:– How far a number is from zero.
Example "6" is 6 away from zero, but "-6" is also 6 away from zero.
So, the absolute value of 6 is 6, and the absolute value of -6 is also 6.
The symbol "|" is placed either side to mean "Absolute Value", so we can write: |-6| = 6
http://www.mathsisfun.com/definitions/absolute-value.html
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Additive Inverses (opposites)
What you add to a number to get zero. The negative of a number.
Example: The additive inverse of -5 is 5, because -5 + 5 = 0.The additive inverse of +5 is -5 as well.
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Exit / Closure
• Write in your NB (composition notebook)
3 things that you learned today.
**** Share with a friend.
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Tuesday: Bell Work
1) |-28| =
2) -|32| =
3) - 29 _____ -30
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2. Evaluate
What does this word mean to you?
This word actually means…..to find the value of a numerical or algebraic expression
Examples… Explain how you would use this word in math.
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Lesson
• Integers with operations:
• SPI 0706.2.5 Solve contextual problems that involve operations with integers.
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-|-8| = -8
*If the negative is outside the absolute value bar, it will create a negative answer. It is the same as multiplying the answer by -1.
*Can be written -1 • |-8| = -8
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Foldable
Cut this section off
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Foldable
Fold in 1/2
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Foldable
Cut 3 lines to make 4 flaps
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Foldable
AdditionMultipli-cation Division
subtraction
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Addition Notes
1) 2 integers with same sign- Add the absolute values
- Keep the same sign -2+-3 = -5 4+3=7 2) 2 integers with different signs
- find the difference of the absolute values- keep sign of the greater absolute value - 5 + 8= 3 4+ -2= 2
*same signs add and keep/ different signs subtract
Key words: Deposit, ascend, rose, gain, increase, above
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Subtraction Notes
1) Change all subtraction problems to addition problems - Add the opposite following the addition rules7- 15 2- (-3)7+ (-15) = -8 2 + 3= 5-5-3-5 + (-3) = -8
*you can add the opposite because they are inverse operations and “Undo” each other
Key words: withdrawal, descend, loss, lowest, decrease, below
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Exit / Closure
• Give 3 examples of why it would be important for you to know the how to subtract/ add integers.
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Wednesday: Bell Work
1) -2 + 18 =
2) Round 67.589 to the nearest tenths
3) -4 – (-7)
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Lesson
• Integers with operations:
• SPI 0706.2.5 Solve contextual problems that involve operations with integers.
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3. Justify
What does this word mean to you?
This word actually means…..to give a satisfactory reason for something done / create a viable argument.
Examples… Explain how you would use this word in math.
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Multiplication Notes
• When multiplying 2 integers- If the sign is the same *positive answer- If the sign is different *negative answer
+ • + = + 6 • 6= 36
- • - = + -2 • -3 = 6- • + = - -5 • 3 = -15
+ • - = - 7 • -2 = -14
Key words: of, times
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Multiplying & DividingIntegers
+
__
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Division Notes
• When dividing 2 integers- If the sign is the same *positive answer- If the sign is different *negative answer
+ ÷ + = + 8 ÷ 2 = 4
- ÷ - = + -6 ÷ -3 = 2- ÷ + = - -9 ÷ 3 = -3
+ ÷ - = - 4 ÷ -2 = -2
Key words: per, quotient
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Exit / Closure
• Why is it important to know the difference between a withdrawal and an deposit?
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Thursday: Bell Work
• 1) 7.2 + 4.31 =
• 2) 3 – (-7)=
• 3) round to tenths- 2.9547
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4. Quantity
What does this word mean to you?
This word actually means…..total value of a given group or specific amount.
Examples… Explain how you would use this word in math.
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Lesson
• N2K: SPI 0706.2.5 Solve contextual problems that involve operations with integers
• N2K 1
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• Critical Thinking Activity • 1. Sean has a checking account at USA Bank.
He deposited 3 checks, each for $202. He then bought a new video game system for $499. What integer best describes Sean’s current bank account balance?
• A) +$107• B) –$107• C) +$297• D) –$297
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• 1. Denver, Colorado is called “The Mile High City” because its elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is −282 feet.
• Is Death Valley located above or below sea level? Cite evidence from the paragraph to justify your reasoning.
• How many feet higher is Denver than Death Valley? Show your work.
• What would your elevation be if you were standing near the ocean? Draw a picture of where you would be standing in comparison to both Denver and Death Valley.
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Exit / Closure
• What did you learn about today’s N2K?
• Do you have questions about the process?
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Friday: Bell Work
• The man wrote 3 checks ($28.52, $14.38, $31.21). The beginning checking account balance was $423.57. What is his remaining balance.
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5. Coefficient
What does this word mean to you?
This word actually means…..the number that is multiplied by the variable in an algebraic expression/equation.
Examples… Explain how you would use this word in math.
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Lesson
• Contextual Integers: SPI 0706.2.5 Solve contextual problems that involve operations with integers.
• Work on the contextual problems
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Exit / Closure
• List key words that helped you understand what operation to perform.