## Welcome to 5th Grade Math

In the Fifth Grade Mathematics course students review and advance in general concepts: whole numbers, place values from millions to thousandths, graphing, decimals, fractions, measurement, and geometry. The course gives an introduction of algebraic concepts and further development of variables, averages, and order of operations. Real-world applications and problem-solving logic are used to build math confidence and provide an enjoyable learning environment. Numerous learning manipulatives and outside resources are used.

**Biblical Concepts for Math:**

- Man’s God –given dominion
- Man’s use of God’s resources
- Man’s responsibility to glorify God
- God’s salvation through Christ
- Man’s responsibility to glorify God
- Christian behavior as showing God’s love to others
- Christians as faithful workers
- Honesty
- Christians as dependable workers
- Man’s use of wisdom to serve his fellow man
- Man’s demonstration of God’s love
- We live in an intelligently designed and ordered world

**Chapter 1: Number Sense Objectives**

- Write numbers in standard form, word form, expanded form, and expanded form with multiplication
- Identify the value of the digits in numbers
- Compare whole numbers
- Round numbers to a given place
- Write decimals in standard form, word form, fraction form, expanded form, and expanded form with multiplication
- Identify equivalent decimals
- Compare decimals
- Round decimals to a given place
- Plot positive and negative numbers on a number line
- Compare and order positive and negative numbers
- Identify the number that is 1 more or 1 less

__Chapter 1: Number Sense Vocabulary & Examples__

** Standard Form** (expressing a numerical value with digits) = 329,675,187

** Word Form** (expressing a numerical value by using it’s word name) = three hundred twenty-nine million, six hundred seventy-five thousand, one hundred eighty-seven

** Expanded Form** (expressing a numerical value by expanding it to show the value of each digit) = 300,000,000 + 20,000,000 + 9,000,000 + 600,000 + 70,000 + 5,000 + 100 + 80 + 7

** Expanded Form with Multiplication** (expressing a numerical value by expanding it to show the value of each digit) = (3 x 100,000,000) + (2 x 10,000,000) + (9 x 1,000,000) + (6 x 100,000) + (7 x 10,000) + (5 x 1,000) + (1 x 100) + (8 x 10) + (7 x 1)

** Decimal **(a number that contains one or more digits to the right of the Ones place) = 4.358

** Decimal point** (separates the whole number from the decimal fraction) A decimal says,

__“AND”__

** Decimal Standard Form** (expressing a numerical value with digits) = 4.358

** Decimal to Fraction Form** 4.358 = 4 358/1000

** Decimal in Expanded Form** (expressing a numerical value by expanding it to show the value of each digit) = 4 + 0.3 + 0.05 + 0.008

** Equivalent Decimals** (Have different names, but their value is the same. Zeroes placed to the right of the last digit in a decimal do

*not*change the value) 1 = 1.0, 0.5 = 0.50, 3.01 = 3.010

** Rounding Decimals** (Find the rounding place. Check the digit to the right.) 12.

**6 rounds to 12.5, 12.**

__4__**3 rounds to 12.4**

__4__** Integer **(any whole number (not a fractional number) that can be positive, negative, or zero)

__Negative numbers__

*decrease*in value as you move to the left from zero,

__Positive numbers__

*increase*in value as you move to the right from zero.

** Roman Numerals** (based on symbols) I = 1, V = 5, X = 10, L = 50, C = 100

**Chapter 2: Addition & Subtraction Objectives**

- Adding & Subtracting Decimals
- Properties of Addition & Subtraction
- Adding & Subtracting Whole Numbers
- Adding & Subtracting Decimals

__Chapter 2: Addition & Subtraction Vocabulary & Examples__

** Commutative Property of Addition – **The order of addends can be changed without changing the sum.

8 + 7 = 7 + 8

a + b = b + a

** Associative Property of Addition –** The grouping of addends, can be changed without changing the sum.

(3 + 5) + 4 = 3 + (5 + 4)

(a + b) + c = a + (b + c)

** Identity Property of Addition** – When 0 is added to an addend, the sum is the other addend.

7 + 0 = 7

a + 0 = a

** Zero Principle of Subtraction** – When 0 is subtracted from a number, the answer is that number.

6 – 0 = 6

a – 0 = a

** Compensation **– Allows you to adjust numbers so you can solve problems mentally.

Great Math Websites

Math Textbook Resource – https://afterschoolhelp.com/pages/topics/course-overview.aspx?CourseID=4

Khan Academy

http://oswego.org/ocsd-web/games/mathmagician/cathymath.html (Great site to work on multiplication facts!)

https://www.multiplication.com/

http://mathplayground.com/games.html

http://www.playkidsgames.com/mathGames.htm

www.helpwithfractions.com (This one’s great for working on factoring and prime numbers!)