6th Neruda & Bronte

Quote: Problems are not stop signs, they are guidelines. - Robert Schuller

Objective: Divide decimals.

Activate Prior Knowledge
Divide. Show your work.
a) 373 ÷ 8 =
b) 205 ÷ 6 =
c) 836 ÷ 19 =
d) 294 ÷ 14 =

New Knowledge:
Make both the dividend and divisor whole numbers by multiplying by a multiple of 10 use zeros as place holders.
Then divide as whole numbers. Since there is a remainder, place a zero in the dividend and continue to divide.

Give several examples:
▫ 0.48 ÷ 0.03 =
▫ 22.8 ÷ 0.8 =


Reflection:When we divide decimals we need to…

6th Bronte: Homework p.70(23-25)

6th Bronte

Quote: Wherever you go, go with all your heart.- Confucius

Objective: Add or subtract decimals

Activate Prior Knowledge: Solve 3 exercises in a leaf.

Application: Practice Workbook p.15(9-23)

Homework: p.68(3-8)

6th Grade Extra Points

For the extra points please go to the following web page, select your name from the list, and the activity you want to do.

These activities help you review the concepts given in class.

Teacher will be monitoring your results through the internet, you do not need to sign the agenda.

Good luck!


6th Bronte: http://www.thatquiz.org/tq/classpage?0032035d8d2202a

6th Neruda: http://thatquiz.org/tq/classpage?0038381b2792029

6th Neruda and Bronte

Quote: It takes courage to grow up and become who you really are.- ee. Cummings

Objective: Add and subtract decimals.

Activate Prior Knowledge:
Add or Subtract.

1. 2526 +460 =
2. 4389 - 238 =
3. 43026 + 3507 =
4. 7506 - 3308 =

New Knowledge:

To add or subtract decimals align the decimal point first, then place each number according to place value; use zeros as place holders when needed.

Add or subtract make sure to include the decimal point in the answer.

Decimal point goes under decimal point.

Examples:

• 3.45 + 7 + 0.825 =
• 51.4 - 65.25 =

Application: p.68 (13-28)

Homework: Practice Workbook p.15(1-8)

Reflection: It is important to align the decima point before we add or subtract because...

6th Bronte & 6th Neruda, Exam on Friday

Remember to study for Friday, the exam will be on the following topics:

• Multiplication
• Division
• Exponents
• Order of Operations

6th Bronte

Quote: When the world says, "Give up, "Hope whispers, "Try it one more time." ~Author Unknown

Activate prior knowledge:
Write the corresponding decimal or percent.
a) 62%
b) 0.05
c) 28%
d) 0.4

New knowledge
Review steps to express decimals as percents and percents as decimals.

Application:
Practice Workbook p.10(7-33)

Homework: p.61(13-22)

6th Bronte & 6th Neruda-November 4, 2008

Quote: The road to success is dotted with many tempting parking places. ~Author Unknown

Objective: Write a decimal as a percent and a percent as a decimal.

Activate prior knowledge:

Round to the nearest whole number.
a) 3.64
b) 41.8
c) 1.49
d) 6.945

New Knowledge:
Percent means “per hundred” or “hundredths”.

Discuss the check for understanding p.61(1-9)

Application:
p.61(1-9)

Homework: Practice Workbook p.14(1-6)

6th Bronte & 6th Neruda

Quote: To think too long about doing a thing often becomes undoing. ~Eva Young

Objective: Use order of operations.

Activate Prior Knowledge:
Give the correct order of operations.
a) 27 ÷ 3 + 1

• Division
• Addition

b)(6 + 8) x (9 -8)

• Parenthesis
• Multiplication

c)(57 + 3) x 2^4

• Parenthesis
• Exponents
• Multiplication

Application: Practice Workbook p.9 (1-13)

Homework: Complete classwork

6th Bronte & 6th Neruda

Objective: Use order of operations.

Application:

p.45(6-15)

Review order of operations, remember to use PEMDAS, solve each expression one under the other. It is very important that you organize your work.

Always show your process, I will not correct if you only provide the answers.

Tomorrow I will be collecting the division worksheet.

6th Bronte & 6th Neruda

Quote: Better a diamond with a flaw than a pebble without.- Confucius.

Objective: Use order of operations.

Activate Prior Knowledge:

Solve.

1. 3 + (9 + 7)=
2. (7-3) + 4=
3. 4 x (2 + 5)=
4. (9 - 2) x 7=

New Knowledge:

To evaluate an expression that contains more than one operation you use rules called order of operations.

We use PEMDAS to remember the operations:

P: parenthesis

E: exponents

M: multiplication

D: division

A: addition

S: subtraction

Multiplication and division is always the first operation from left to right.

Addition and subtraction is always the first operation from left to right.

Application:

p.45 (6-15)

6th Neruda and Bronte

Quote: No one is perfect...that's why pencils have erasers.- Author Unknown

Objective: Represent numbers using exponents.

Application:

• 6th Bronte: Practice Workbook p.8(1-25), Basic Division Worksheet (1-22)
• 6th Neruda: Practice Workbook p.8(1-25); complete as homework

6th Bronte & 6th Neruda

Quote: We are made wise not by the recollection of our past, but by the responsibility for our future. ~George Bernard Shaw

Activate Prior Knowledge:
Find the product.
1. 3 x 3 =
2. 6 x 6 =
3. 4 x 4 x 4 =
4. 2 x 2 x 2 x 2 =
5. 9 x 9 x 9 =

New Knowledge:
An exponent is a number that tells how many times a base is used as a factor.

Base^Exponent

For example: 2^3 = 2 x 2 x 2 = 8

The following rules apply to numbers with exponents 0, 1, 2, and 3.
▫ Any number (except 0) raised to the zero power is equal to 1. Ex. 1490 = 1
▫ Any number raised to the first power is always equal to itself. Ex. 81 = 8
▫ If a number is raised to the second power, we say it is squared. Ex. 32 is read as three squared
▫ If a number is raised to the third power, we say it is cubed. Ex. 43 is read as four cubed

Application: p.41 (8-32).
Homework: p.H3(1-8)

6th Bronte & 6th Neruda

Quote: To be upset over what you don't have is to waste what you do have. ~Ken S. Keyes

Objective: Use mathematical properties to find sums, differences, products, and quotients.

Activate prior knowledge:
Name the property shown.
a) 7 x 2 = 2 x 7
b) 6 + 3 = 3 + 6
c) 3( 9 + 7 )= (3 x 9) + (3 x 7)
d) 6 + (1 + 4) = (6 +1) + 4
e) (4 x 3) x 5= 4 x (3 x 5)

New Knowledge:
Reinforce math properties. Discuss the following properties of multiplication and addition:
▫ Identity Property of Zero
▫ Identity Property of One

Application:
Complete p.38(3-18)
p. H2 (1-9)

Review multiplication tables.

6th Bronte & 6th Neruda

Quote: When you blame others, you give up your power to change.- Author Unknown

Objective: Use mathematical properties to find sums, differences, products, and quotients.

Activate Prior Knowledge:
Solve by using mental math.

1. d + 13 = 33
2. 25 - g = 17
3. 6m = 54
4. 9 = x ÷ 11

Variables are letters that represent numbers.

New Knowledge:

One way to find the sum or product mentally is to use a number property.

Commutative Property:

• Of Addition: Numbers can be added in any order without changing the sum.

Ex. 45 + 29 + 55 = 29 +45 +55

129 = 129

• Of Multiplication: Numbers can be multiplied in any order without changing the product.

Ex. 5 x 3 x 8 = 5 x 8 x 3

120 = 120

Associative Property:

• Of Addition: Addends can be grouped differently; the sum is always the same.

Ex. (45 + 29) + 55 = 45 + (29 +55)

129 = 129

• Of Multiplication: Factors can be grouped differently; the product is always the same.

Ex. (5 x 3 ) x 8 = 5 x (3 x 8)

120 = 120

Distributive Property:

5 (8 + 2) = (5 x 8) + (5 +2)

5(10) = 40 + 10

50 = 50

Application: p.38(3-18) We are going to continue tomorrow

Reflection:Properties help us…

Reinforcement tomorrow in 6th Bronte from 2:45 - 3:25 p.m.

6th Bronte and Neruda

Quote: If you don't like something change it; if you can't change it, change the way you think about it.- Mary Engelbreit

Objective: Multiply Decimals by Whole Numbers

Application:
Complete class given, take your time to revise exercises.

Teacher evaluated students individually on the multiplication tables.

6th Bronte & 6th Neruda

Quote: Every day may not be good, but there's something good in every day.- Author Unknown

Activate Prior Knowledge
Find the product. Show your work.

1. 9.06 x 62=
2. 17.37 x 2=
3. 38.2 x 6=
4. 9.9 x 92=

New Knowledge

To multiply Decimals by Whole Numbers, do your multiplication normally like you do with whole numbers; when you find the product place the decimal point by counting the decimal places in the original exercises.

Application

Find the products. Show your work.

1. 7.7909 x 91=
2. 33.0307 x 6=
3. 4.26 x 7=
4. 41.9322 x 2=
5. 2.023 x 5=
6. 78.84 x 24=
7. 56.009 x 17=
8. 5.7024 x 55=
9. 4.28 x 60=
10. 61.5598 x 16=

6th Bronte & 6th Neruda

Quote: Attitude is a little thing that makes a big difference.- Winston Churchill

Objective: Multiply Decimals by Whole Numbers

Activate Prior Knowledge:

1. 54 X 9 =
2. 134 X 6=
3. 325 X 7 =
4. 181 X 8 =

New Knowledge:

Steps to Multiply Decimals by Whole Numbers:

1. Multiply as whole numbers.
2. Place the decimal point by counting the decimal places in the original exercises.

a) 0.45 X 23 = 10.35

b) 25.76 X 6 = 154.56

c) 28.9 X 14 = 404.6

Application:

Multiply.

1. 4.3 x 8=
2. 3.8 x 3=
3. 4.5 x 5=
4. 24.6 x 6=
5. 19.3 x 2=
6. 5.4 x 2=
7. 13.4 x 6=
8. 0.123 x 12=

Reflection: In order to multiply correctly we need to...

Homework for 6th Neruda: Complete the exercises in your house.

6th Bronte & 6th Neruda

Quote: It is our choices...that show what we truly are, far more than our abilities. J. K Rowling

Objective: Multiply whole numbers

Activate Prior Knowledge:
Multiply. Show your work.

a) 32 X 9
b) 45 X 8
c) 36 X 6
d) 12 X 7
e) 98 X 8

New knowledge:

Review multiplication steps.

Application:p.24(6, 9, 10, 11, 15, 17, 19, 21, 22)
Reflection:In order to multiply correctly we need to …

We will complete the exercises tomorrow.

6th Math Exams

6th MATH EXAM

Content:

▫ Place value: decimal and whole number.
▫ Compare numbers
▫ Round numbers
▫ Find the sum or difference

Bronte: October 8, 2008
Neruda: October 9, 2008

6th Grade Multiplication Game

Win extra points in math class by playing this exiting multiplication game.
Make sure your parents or tutors send a note stating you played, include your score, and a comment if you liked or disliked the game.

Have fun!!!

http://www.multiplication.com/flashgames/beachRun/beachRush.htm

6th Bronte

Objective:
Find the sum or difference

Activate Prior Knowledge:
Mini quiz regarding addition and subtraction.

Application:
Practice Workbook p.2 (9-21) Show your process.

Homework:
Finish the classwork.

6th Neruda

Objective:
Multiply whole numbers.

Activate Prior Knowledge:
Mini Quiz regarding addition and subtraction.

New Knowledge:
Review multiplication steps, make sure to follow place value, always begin the the ones, then the tens, hundreds, and so on.
Multiply taking into consideration multiplication tables, and also keep your work organized to make your addition process easier and with no mistakes.

Application:
p.24(3, 5, 6, 9, 10, 11)

We are going to continue these exercises on Monday.

6th Neruda

Obective: Estimate sums and differences

Activate Prior Knowledge:
Name the place value of the digit 8 in each number.

1. 1845
2. 408
3. 8209
4. 80672
5. 54.8
6. 32.08
7. 1072.358
8. 0.080

Application:

Practice Workbook p.1(3-12)(31-34)

6th Bronte

Objective: Estimate sums and differences

Application:
Practice Workbook p.1(3-12)(31-34)

3rd Form Calderon, Byron & Octavio Paz

Sincerely it has been a pleasure to welcome you to high school, my best wishes to you on your journey. As in everything in life movement and improvements are all part of it, as you keep moving towards your goal, it is not that I am staying behind; I keep looking forward to watch you achieve your very best, your success is also mine.

Keep your eyes on your goal, keep a positive mind and attitude about things, and remember you can always count on me.

Good luck!

6th Prep Place Value Game

This is the page for the place value game:

http://www.mrnussbaum.com/placevaluepirates1.htm

Remember to bring your agenda signed stating that you practiced place value, keep using the game, it is a fun way to review place value, the more you practice assures a better performance in the classroom.

Enjoy your weekend!

6th Neruda

Quote: Mathematics is like love; a simple idea, but it can get complicated.- Author Unknown

Objective: Estimate sums and differences of whole numbers

Activate Prior Knowledge:

Review homeworkp.54(1-5) and p.51 (14-21)(26-37)

Topics covered:

• Decimal place value
• Rounding to the nearest whole number
• Rounding to the nearest tenth

3rd Form Byron

Quote: Mathematics is like love; a simple idea, but it can get complicated. - Author Unknown

Objectives:

• Rewrite equations with more than one variable.
• Solve equations and common formulas.

Activate Prior Knowledge:
Solve for y. p. 29(4-6)

New Knowledge:
The formula for the perimeter of a rectangle is
P = 2l + 2w. Solve for w.

Use inverse operations to express in terms of w.

(P - 2l)/ 2 = w

Application:
p.29(24-29) p.30(30-32)

Reflection:
The key to rewrite equations is ...

6th Bronte

Quote: Mathematics is like love; a simple idea, but it can get complicated. - Author Unknown

Objective: Estimate the sum or difference of whole numbers.

Activate Prior Knowledge:
Review homework

New Knowledge:
To estimate the sum or difference of numbers we use rounding.

Examples:

1. 31875 - 24985 =

30000 - 20000 = 10000

1. 1999 + 2452 + 1852 =

2000 + 2000 + 2000 = 6000

Application:
p.18(3-10)

Reflection:
Today I learned ...

6th Bronte

Quote: If there is a God, he's a great mathematician.- Paul Dirac

Activate Prior Knowledge:

Use place value to complete the following:
Standard form: 72.514
Expanded form:
Word form:

Standard form:
Expanded form: 60 + 4 + 0.3
Word form:

Application:
Practice Workbook, Lesson 3.1, p.11(8-19)

Teacher collected workbooks for correction.

Daniel I hope you are felling better.

3rd Form Byron, Octavio Paz, Calderon de la Barca

Quote: If there is a God, he's a great mathematician.-Paul Dirac

Activate Prior Knowledge: Solve equations p.24(51-56)

New Knowledge:

Rewriting equations with more than one variable:

Method 1: Substitute the value of the variable and then solve the equation.

Method 2: Solve the equation in terms of the variable. Then evaluate the resulting expression using the value given.

Examples:

2x + 5y = 4 to find y when x = -1.

Method 1:
2 (-1) + 5y = 4
-2 + 5y = 4
5y = 4 + 2
5y = 6
y = 6/5
y = 1.5

Method 2:
2x + 5y = 4
5y = 4 - 2x
y= (4 - 2x)/5
y= 4 - 2(-1)/5
y= 6/5
y=1.5

Application:
p.29(12-19)

Reflection:
As I work individually with the exercises I felt . . .

6th Bronte & 6th Neruda

We completed p.54(22-33) and completed a practice regarding decimal place value.

3rd Form Byron

Quote: Go down deep enough into anything and you will find mathematics. ~Dean Schlicter

Objective: Solve equations and inequalities.

Application:
Finish p.23(33-40)
Solve equations on p.22(33-40)

Reflection:

• What did you learn?
• How did you learn it?

3rd Form Calderon

Quote: Go down deep enough into anything and you will find mathematics. ~Dean Schlicter

Objective: Solve equations and inequalities.

Application:
Finish p.23(33-40)
Solve equations on p.22(22-30)

Reflection:

• What did you learn?
• How did you learn it?

3rd Form Octavio Paz

Quote: Go down deep enough into anything and you will find mathematics.- Dean Schlicter

Objective: Solve equations and inequalities

Application:

Finish p. 23(33-40)
Solve equations on p.22(23-30)

Reflection:

• What did you learn today?
• How did you learn it?

Teacher corrected homework,

Students who have been absent please make sure to complete missing assingments, check the following list:

p.14(1-8) Classwork

p.15(37-42)Part classwork, part homework

p.15(47-52) Homework

Activate Prior Knowledge:

Evaluate the expression for the given value of the variable.
a) 3 + 2x^3 when x = 2
b) ( y^4) /8 when y = 4
c) 13+ 3x when x = 7
d) 27 - (24/y) when y = 8

Application:

1. (7 *5) *2 =
2. (7i*5i) *2i=
3. 3d + 7d =
4. e + e + e =
5. 5e + (9e + 6e) =
6. f *f^2 =
7. 7e + 7e + 7e + 7e + 7e =
8. 2e (8e 4e) =

6th Neruda

Quote: You cannot do everything at once, but you can do something at once. - Calvin Coolidge

Objective: Represent, compare, order, and round numbers.

Activate Prior Knowledge:

Write each decimal in words

1. 4.344
2. 0.596

Write each number in standard form.

1. Twenty-four hundredths
2. Four tenths

Application:

Work individually with p.54(22-33)

Website for game relating place value:

http://www.mrnussbaum.com/placevaluepirates1.htm

3rd Form Calderon

Quote: "We cannot do everything at once, but we can do something at once". - Calvin Coolidge

Objective: Use order of operations to evaluate algebraic expressions.
Solve equations and inequalities.

Activate Prior Knowledge:
Evaluate the expressions for the given value fo the variable.
a) 3 + 2x^3 when x = 2
b) y^4 /8 when y = 4
c) 13 + 3x when x = 7
d) 27 - (24/y) when y = 8

Application:

1.(7 *5) *2 =
2.(7i *5i) *2i =
3.3d + 7d =
4.e + e + e =
5.5e + (9e + 6e) =
6.f *f2
7.7e + 7e + 7e + 7e + 7e =
8.2e* (8e *4e) =

Practice and applications: p.23(33-40)

Reflection:
Three things I learned from today's class are:

6th Bronte

Quote: "I hear, I know. I see, I remember. I do, I understand. "- Confucius

Objective: Represent, compare, order, and round numbers.

Activate Prior Knowledge:
Write the decimal in words.

1. 4.344
2. 0.594

Write each number in standard form.

1. Twenty-four hundredths.
2. Four tenths.

Application:

Work individually with p.54 (22-33)

Teacher corrected notebooks. Great job everyone!