7th Grade Math

1
7th Grade Math

• Week of 10/13/14
• Information from http//net.cmsdnet.net/schools/
  math/sld005.htm
• http//www.mathsisfun.com/adding-decimals.html
• https//www.sinclair.edu/centers/tlc/pub/handouts_
  worksheets/mathematics/DEV085/7_integers/085_signe
  d_integer_word_problems.pdf

2
Monday Bell Work
The boiling point of water is 212 degrees
Fahrenheit (F). Propane boils at about 44 F.
How much hotter is the boiling point of water
than that of propane? 1) draw the problem out-
be sure to correctly label it 2) write the
correct equation 3) solve
3
Agenda

• 1- bell work
• 2- Agenda copy homework wb p. 2
• 3- vocabulary word of the day (add Q2 to TOB)
• 4- Objective
• 5- lesson Exponents (add to TOB)
• 6- exit ticket

4
Vocabulary

• Glue Q2 words in your composition notebook

5
Lesson

• solve real-world problems using rational numbers
  in any form, including those problems involving
  multiple steps?

6
1. Critique
This word actually means.. a detailed analysis
and assessment of something evaluate (a theory
or practice) in a detailed and analytical way.
What does this word mean to you?
Explain how you would use this word in math.
Examples
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Exponents
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Exponents

• In 82 the "2" says to use 8 twice in a
  multiplication,
• So 82 8 8 64
• In words 82 could be called "8 to the power 2"
  or "8 to the second power", or simply "8 squared"

The exponent of a number says how many times to
use the number in a multiplication.
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Exponents
Example 53 5 5 5 125 In words 53 could
be called "5 to the third power", "5 to the power
3" or simply "5 cubed" Example 24 2 2
2 2 16 In words 24 could be called "2 to
the fourth power" or "2 to the power 4" or simply
"2 to the 4th"
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Why use exponents???
Exponents make it easier to write and use many
multiplications Example 96 is easier to write
and read than 9 9 9 9 9 9 Exponents
are commonly used by mathematicians and
scientists.
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Exponent special info
Example 24 is the same as 24 24 2 2 2
2 16 When you have a negative base, you
must put it is parenthesis when using a
calculator! -8 2 means (-8)2 You will
not get the correct answer if you do not do this.
The calculator doesn't read the sign and just
adds it to the answer.
12
Exit / Closure

• Partner discussion with neighbor(s)
• Why might it be helpful to draw the picture when
  solving integer word problems????

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Agenda

• 1- bell work
• 2- Agenda Worksheet
• 3- vocabulary word of the day
• 4- Objective
• 5- Check Homework
• 6- lesson Order of Operations (add to TOB)
• 7- exit ticket

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2. Precision
This word actually means.. the degree to which
the correctness of a quantity is expressed.
What does this word mean to you?
Explain how you would use this word in math.
Examples
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Lesson

• ... use the commutative and associative
  properties to add and/or subtract linear
  expressions with rational coefficients?
• ... use the distributive property to factor or
  expand linear expressions with rational
  coefficients?

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Order of Operations
How Do I Remember Which Order To Do The Problem?
BODMAS ! B- Brackets first ( includes
Parentheses () or Brackets ) O- Orders
(includes Powers and Square Roots, etc.) DM-
Division and Multiplication (left-to-right) AS-
Addition and Subtraction (left-to-right)
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Order of Operations

• After you have done "B" and "O", just go from
  left to right doing any "D" or "M" as you find
  them.
• Then go from left to right doing any "A" or "S"
  as you find them.

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EXAMPLES
Example How do you work out 3 6 2
? Multiplication before Addition First 6 2
12 Then 3 12 15 Create your ice cream
cone 3 6 x 2 3 12 15
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EXAMPLES
Example How do you work out (3 6) 2
? Brackets first First (3 6) 9, then 9 2
18 (3 6) x 2 9 x 2
18 Only do one operation per line!!
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EXAMPLES
Example How do you work out 12 / 6 3 / 2
? Multiplication and Division rank equally, so
just go left to right First 12 / 6 2, then 2
3 6, then 6 / 2 3 12 / 6 x 3 /
2 2 x 3 / 2
6 / 2 3
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EXAMPLES
Oh, yes, and what about 7 (6 25 3) ? 7
(6 25 3) 7 (6 25 3) Start inside
Brackets, and then use Orders" First 7
(150 3) Then Multiply 7 (153) Then Add 7
153 Brackets completed, last operation
is add 160 DONE !
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Order of Operations Reminders

• As the problems become more complicated it is
  very important that you do one step at a time!!
  This will prevent many mistakes.
• And as always.... YOU MUST SHOW YOUR WORK!!!

24
Exit/ Closure

• Solve the following (use an index card)
• 3.8n 15 30.2
• Show your work to justify your answer

25
Wednesday Bell Work HW in basket
On a recent glider flight, Lucy took a tow to
3000 feet above ground level. She found a good
thermal and climbed 1800 feet. Then she hit big
sink and lost 2200 feet. What was her altitude at
that point? 1) draw the problem out- be sure
to correctly label it 2) write the correct
equation 3) solve
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Agenda

• 1- bell work
• 2- Agenda in class problems- no homework
• 3- vocabulary word of the day
• 4- Objective
• 5- Check Homework
• 6- lesson Order of Operations
• 7- exit ticket

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3. Transform
This word actually means.. to simplify or solve
a mathematical problem
What does this word mean to you?
Explain how you would use this word in math.
Examples
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Lesson

• ... use the commutative and associative
  properties to add and/or subtract linear
  expressions with rational coefficients?
• ... use the distributive property to factor or
  expand linear expressions with rational
  coefficients?

29
Order of Operations

• Let's solve problems!!!!
• Site 1
• Site 2

30
Exit / Closure

• Partner discussion with your neighbor(s)
• Tell the order of operations and why it is
  important to follow them!!

31
Thursday Bell Work

• The moon experiences many extremes in temperature
  because it has no atmosphere. For example, on the
  side of the moon that the sun is shining on, the
  temperature can reach 260 F. On the dark side of
  the moon, it gets as cold as 280 F. How much is
  the drop in temperature from day to night?
• 1) draw the problem out- be sure to correctly
  label it
• 2) write the correct equation
• 3) solve

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Agenda

• 1- bell work
• 2- Agenda copy homework wb p. 4
• 3- vocabulary word of the day
• 4- Objective
• 5- lesson N2K and Order of Operations
• 6- exit ticket

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4. Computation
This word actually means.. using 4 basic
operations (, -, x, ) to solve a problem .
What does this word mean to you?
Explain how you would use this word in math.
Examples
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Lesson

• Can you write an algebraic equation or inequality
  to solve a real world problem? (7.EE.4a)
• N2K 1

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Practice Time!

• Practice problems

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Exit / Closure

• What is the importance of checking your work in
  math?
• Discuss with a partner

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TURN IN PARENT TEACHER FORM!!!

• -Place them in the black tray on Miss Walkers
  Desk.

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Friday Bell Work HW on desk

• Solve
• (3 x 5)3
• 9 15 (3-5)
• 22 13 43

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Agenda

• 1- bell work
• 2- Agenda no homwork
• 3- vocabulary word of the day
• 4- Objective
• 5- Check Homework
• 6- lesson Order of Operations in class check
• 7- exit ticket

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5. Additive Inverse
This word actually means.. the opposite of a
number (5, -5).
What does this word mean to you?
Explain how you would use this word in math.
Examples
42
Lesson

• ... use the commutative and associative
  properties to add and/or subtract linear
  expressions with rational coefficients?
• ... use the distributive property to factor or
  expand linear expressions with rational
  coefficients?

43
Order of Operations Check

• 1) You may write on the paper
• 2) You MUST show all work
• 3) A calculator may be used to check your
  work...... BUT your work must match your answer

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Scavenger Hunt

• We will now begin our Pirate Treasure Hunt! Good
  Luck!
• 3 (122 6) 52 x 2 28

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Exit / Closure

• Partner discussion with your neighbor(s)
• The first step in solving in a problem is to
  read/ understand it. Why must you do this
  before doing the operations?