Welcome Back!!!! I am so excited about this school year!!!

This week in 6^{th} grade math we will be reviewing Module 9 and taking a test on Module 9 on Tuesday. Wednesday through Thursday we will be practicing problems involving exponents, prime factorization and order of operations. The homework is due on Thursday this week.

Here is a guide to help with order of operations:

**Parentheses, **

**Exponents,**

**Division and Multiplication, in order from left to right **

**Addition and Subtraction, in order from left to right.**

Thank you,

Mrs. Langford

Monday Oct. 14, 2014

Converting Fractions to Decimals by Dividing

The students will practice converting fractions to decimals by dividing. I added a video to my News Feed on how to change a fraction to a decimal by dividing the denominator into the numerator.

The students also practice problems involving multiplying and dividing fractions on white boards.

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Tuesday Oct. 15, 2014

Retest for Module 3 Test

The students took a retest for the Module 3 Test because the scores were lower than expected. This retest grade will replace their test grade if it is higher than the test grade. I will put the higher of the two grades in the gradebook.

The homework for tonight is pg 111-112 (front/back) out of the book.

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Wednesday, October 16, 2014

Review for Test 4 – The Test will be over multiplying and dividing decimals and applying multiplication and division of rational numbers.

The homework for Wednesday evening will be a review for the test.

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Thursday, October 17, 2014

Review for Test 4

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Friday, October 18, 2014

Test 4 over Multiplying and Dividing Decimals

**Vocabulary Words**

Negative Number - a number less than zero

EXAMPLE: -6

Positive Number - a number greater than zero

EXAMPLE: 2 is a positive number

Integer - a member of the set of whole numbers and their opposites

EXAMPLE:...-3 -2, -1, -1, 0, 1, 2, 3...

Absolute Value - the distance from zero to that number on a number line

*absolute value is nonnegative, because it is a distance

Opposites - two numbers that are an equal distance from zero on a number line

EX: 5 and -5 are opposites

Inequality - a mathematical statement that shows the relationship between quantities that are not equal.

EX: 5<8

Whole Number - counting numbers

EX: 0,1,2,3,4...

Rational Number - any number that can be written as a ratio of two integers; whole numbers, integers, fractions and decimals are all rational numbers

EX: 4, -25, 5/8, 25/7, 0.75

Venn Diagram - a diagram that is used to show relationships between sets

This week students will learn how to classify numbers, find absolute value of rational numbers and compare and order rational numbers.

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Notes for Monday, Sept. 8, 2014

- Rational Numbers - any number that can be expressed as a ratio of two integers, for example: 3/4 or .75 are rational numbers. Integers and whole numbers are also rational numbers. Rational numbers can be fractions, decimals, integers, or whole numbers.

- Integers - set of whole numbers and their opposites.

Example: -3 or 20

Positive and negative numbers are integers

- Whole Numbers - counting numbers starting with zero Example: 0,1,2,3...

14.1 is classified as a ration number only

-8 is classified as an integer and rational number

101 is classified as a whole number, integer, and rational number

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Notes for Tuesday, Sept. 9, 2014

ABSOLUTE VALUES OF RATIONAL NUMBERS

You can find the absolute value of a rational number the same way you find the absolute value of an integer. The absolute value of a rational number is the number's distance from 0 on the number line.

Example: the absolute value of -5.4 is 5.4

*Remember absolute value is the distance from zero, so it is always a non-negative number

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Notes for Wednesday, Sept. 10, 2014

COMPARING AND ORDERING RATIONAL NUMBERS

Fractions and decimals that represent the same value are *equivalent.*

*Examples:*

0.1 = 1/10

0.5 = 1/2

3/4 = .75

0.2= 2/10, which simplifies to 1/5

You can order fractions and decimals by rewriting the fractions as equivalent decimals or vice versa.

Sometimes you have to find equivalent fractions with a common denominator.

Example:

Order 1/12, 2/3, and 0.35 from least to greatest.

0.35 = 35/100 = 7/20

You can use 60 as a common denominator and compare the numerators:

1/12 = 5/60

2/3 = 40/60

7/20 = 21/60

5 < 21 < 40

The fractions in order from least to greatest are 5/60, 21/60, 40/60.

The numbers in order from least to greatest are 1/12, 0.35, and 2/3.