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.