7

th

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/mathe matics/DEV085/7_integers/085_signed_integer_word_problems.pdf

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

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

Vocabulary

Glue Q2 words in your composition notebook

1. Critique

What does this word mean to you?

Examples…

This word actually means…..

a detailed analysis and assessment of something: evaluate (a theory or practice) in a detailed and analytical way.

Explain how you would use this word in math.

Lesson

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

Exponents

Exponents

The exponent of a number says how many times to use the number in a multiplication.

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

Exponents

Example: 5 3 = 5 × 5 × 5 = 125 In words: 5 3 could be called "5 to the third power", "5 to the power 3" or simply "5 cubed" Example: 2 4 = 2 × 2 × 2 × 2 = 16 In words: 2 4 could be called "2 to the fourth power" or "2 to the power 4" or simply "2 to the 4th"

Why use exponents???

Exponents make it easier to write and use many multiplications Example: 9 6 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9 Exponents are commonly used by mathematicians and scientists.

Exponent *special info

Example: 2^4 is the same as 2 4 2^4 = 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.

Exit / Closure

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

Tuesday: Bell Work

*HW on desk 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

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

2. Precision

What does this word mean to you?

Examples…

This word actually means…..

the degree to which the correctness of a quantity is expressed.

Explain how you would use this word in math.

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?

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)

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.

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

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!!

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

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", “MorD”, “AorS” in the correct order 7 + (150 + 3) 7 + (153) 7 + 153 Then Multiply Then Add Brackets completed, last operation is add 160 DONE !

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!!!

Practice Time!

Practice problems

Exit/ Closure

Solve the following (use an index card) 3.8n + 15 = 30.2

Show your work to justify your answer

Wednesday: Bell Work

*HW on desk 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

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

3. Transform

What does this word mean to you?

This word actually means…..

to simplify or solve a mathematical problem

Examples…

Explain how you would use this word in math.

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?

Order of Operations Let's solve problems!!!!

Site 1 Site 2

Exit / Closure

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

Thursday: Bell Work

One day in July, the temperature at ground level at the airport was 90 ° . A pilot reported the temperature at 10,000 feet was 50 ° . How much did the temperature drop per 1000 feet? (Hint: find the amount of temperature change and set up a proportion.) 1) draw the problem out- be sure to correctly label it 2) write the correct equation to solve the distance 3) then solve to figure out the change

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

4. Computation

What does this word mean to you?

Examples…

This word actually means…..

using 4 basic operations (=, -, x, ÷) to solve a problem .

Explain how you would use this word in math.

Lesson

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

Critical Thinking Activity You have only $200 to spend at the theme park. Disney charges $42 to enter into the park. You want buy souvenirs for friends and family. How many souvenirs can you buy if you spend $10 on each souvenir? Which equation represents the story above?

A. 200= 42+10x B. 200=x/10-42 C. 200=10x-42 D. 200=42x+10

Constructed Response Benjamin is considering taking a job at the Fresh Foods grocery store. The store pays its employees a $60 one-time bonus in addition to an hourly pay rate of $8.40. Benjamin is working to save money for the class trip. Airfare, hotel, and food will cost $1800, so he knows that he needs to make more than this amount in order to pay for the trip and have additional spending money during the trip.

**********USE THE CHART************ Which summer job(s) at the Fresh Foods grocery will allow Benjamin to meet his $1800 goal? Show all work and explain your reasoning.

Exit / Closure

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

Friday: Bell Work

*HW on desk An architectural drawing of a building shows the elevation of the basement floor to be –12 feet. The elevation of the roof is 32 feet. What is the total distance from the roof to the basement floor?

1) draw the problem out- be sure to correctly label it 2) write the correct equation 3) solve

Agenda

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

5. Additive Inverse

What does this word mean to you?

This word actually means…..

the opposite of a number (+5, -5).

Examples…

Explain how you would use this word in math.

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?

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

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?