7th Grade Math

Week of 8/18/14

Monday: Bell Work

• 1) 7.2 + 4.31 =

• 2) 3.8 – 1.25 =

• 3) round to tenths- 2.9547

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.

Lesson

• Absolute Value and Opposites: 7. NS.1a Describe situations in which opposite quantities combine to make 0.

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

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.

Exit / Closure

• Write in your NB (composition notebook)

3 things that you learned today.

**** Share with a friend.

Tuesday: Bell Work

1) |-28| =

2) -|32| =

3) - 29 _____ -30

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.

Lesson

• Integers with operations:

• SPI 0706.2.5 Solve contextual problems that involve operations with integers.

-|-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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AdditionMultipli-cation Division

subtraction

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

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

Exit / Closure

• Give 3 examples of why it would be important for you to know the how to subtract/ add integers.

Wednesday: Bell Work

1) -2 + 18 =

2) Round 67.589 to the nearest tenths

3) -4 – (-7)

Lesson

• Integers with operations:

• SPI 0706.2.5 Solve contextual problems that involve operations with integers.

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.

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

Multiplying & DividingIntegers

+

__

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

Exit / Closure

• Why is it important to know the difference between a withdrawal and an deposit?

Thursday: Bell Work

• 1) 7.2 + 4.31 =

• 2) 3 – (-7)=

• 3) round to tenths- 2.9547

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.

Lesson

• N2K: SPI 0706.2.5 Solve contextual problems that involve operations with integers

• N2K 1

• 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

• 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.

Exit / Closure

• What did you learn about today’s N2K?

• Do you have questions about the process?

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.

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.

Lesson

• Contextual Integers: SPI 0706.2.5 Solve contextual problems that involve operations with integers.

• Work on the contextual problems

Exit / Closure

• List key words that helped you understand what operation to perform.