# Math

It’s almost Spring Break!!

The link below is a video of me, Mrs. Pitman, checking in with students before spring break!

https://youtu.be/Yz3Jt7PAnRA

## Monday 3/23

Daily Review i. pg. 224

### PowerPoint for Lesson 87: Add & Subtract Mixed Numbers

After clicking on the link below. Click on Slideshow from the beginning. This will allow you to click through problems step by step.

M5 Lesson 087

Complete pg. 215 – 216

Go to BrainPOP.com

Click on “Enter Code” at the top.

•  Enter your class code –
• Amazing Alligators – bus5138
• Proud Pythons – else6219
• Clever Cougars – vacuum0752

It is your AR username with srcs at the end (no space)

Example: ppitmansrcs and AR password with srcs at the end (no space) example: 0207srcs

Complete the Adding & Subtracting Fractions assignment by Friday. It is 20 questions that I will take for a grade.

Learning Resource –

Optional – Play First in Math

The player of the day will be posted on the blog each day!!

Play, play, play!!!

## Tuesday 3/24

Daily Review j. pg. 224

### PowerPoint for Lesson 88: Add & Subtract Fractions

After clicking on the link below. Click on Slideshow from the beginning. This will allow you to click through problems step by step.

M5 Lesson 088

Complete pg. 217 – 218

Submit BrainPop Adding & Subtracting Fractions Assignment by Friday

Learning Resource –

Optional – Play First in Math

The player of the day will be posted on the blog each day!!

Play, play, play!!!

## Wednesday 3/25

Daily Review k. pg. 224

### PowerPoint for Lesson 89: Add & Subtract Fractions

After clicking on the link below. Click on Slideshow from the beginning. This will allow you to click through problems step by step.

M5 Lesson 089

Complete pg. 219 – 220

Submit BrainPop Adding & Subtracting Fractions Assignment by Friday

Learning Resource –

Optional – Play First in Math

The player of the day will be posted on the blog each day!!

Play, play, play!!!

## Thursday 3/26

Make sure all Daily Reviews are complete for Chapter 9 pages 221 – 224

### PowerPoint for Lesson 90: Chapter 9 Review

M5 Lesson 090

Complete pg. 225 – 226

Submit BrainPop Adding & Subtracting Fractions Assignment by Friday

Learning Resource –

Optional – Play First in Math

The player of the day will be posted on the blog each day!!

Play, play, play!!!

## Friday 3/27

Catch-up Day (if needed)

### BrainPop Adding & Subtracting Fractions Assignment Due Today

Learning Resource –

Optional – Play First in Math

The player of the day will be posted on the blog each day!!

Play, play, play!!!

## Week 1 Distance Learning –

### Tuesday 3/17

Daily Review f. pg. 223

### PowerPoint Lesson for Comparing Fractions pg. 209 – 210

After clicking on the link below. Click on Slideshow from the beginning.  This will allow you to click through problems step by step.

M5 Lesson 084

Complete pg. 209 – 210

Learning Resource & Practice –

Optional – Play First in Math

### Wednesday 3/18

Daily Review g. pg. 223

### PowerPoint Lesson for Least Common Denominator pg. 211 – 212

After clicking on the link below. Click on Slideshow from the beginning.  This will allow you to click through problems step by step.

M5 Lesson 085

Complete pg. 211 – 212

Learning Resource & Practice –

Optional – Play First in Math

### Thursday 3/19

Daily Review h. pg. 223

### PowerPoint Lesson for Adding & Subtracting Unlike Fractions pg. 213 – 214

After clicking on the link below. Click on Slideshow from the beginning.  This will allow you to click through problems step by step.

M5 Lesson 086

Complete pg. 213 – 214

Learning Resource & Practice –

Optional – Play First in Math

### Friday 3/20 –

Catch-up Day (if needed)

Learning Resource & Practice –

Optional – Play First in Math

## 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

1. Write numbers in standard form, word form, expanded form, and expanded form with multiplication
2. Identify the value of the digits in numbers
3. Compare whole numbers
4. Round numbers to a given place
5. Write decimals in standard form, word form, fraction form, expanded form, and expanded form with multiplication
6. Identify equivalent decimals
7. Compare decimals
8. Round decimals to a given place
9. Plot positive and negative numbers on a number line
10. Compare and order positive and negative numbers
11. 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.) 12.46 rounds to 12.5, 12.43 rounds to 12.4

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

2. Properties of Addition & Subtraction
3. Adding & Subtracting Whole Numbers

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)

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.

### Chapter 3: Multiplication Objectives

1. Multiplying Whole Numbers
2. Properties of Multiplication
3. Multiple Multi-Digit Whole Numbers
4. Prime & Composite Numbers
5. Exponents

Chapter 3: Multiplication Vocabulary & Examples

• Commutative Property of Multiplication – The order of factors can be changed without changing the product. 3 x 4 = 4 x 3    a x b = b x a
• Associative Property of Multiplication – The grouping of factors can be changed without changing the product. (2 x 3) x 4 = 2 x (3 x 4)           (a x b) x c = a x (b x c)
• Zero Property of Multiplication – When 0 is a factor, the product is always 0.                       9 x 0 = 0          a x 0 = 0
• Identity Property of Multiplication – When 1 is a factor, the product is the same as the other factor. 3 x 1 = 3 a x 1 = a
• Multiple – the product of two whole numbers. The first 4 nonzero multiples of 4 are 4, 8, 8, and 16. The list of multiples is infinitely long.
• Factors – the numbers multiplied together to find a product.
• Prime Number – a number greater than 1 that has exactly 2 different factors. These factors are the number itself and 1.                                                                                                          5 has exactly 2 factors: 1 and 5. 5 is prime.
• Composite Number – a number greater than 1 that has more than 2 factors.                       6 has 4 factors: 1, 2, 3, and 6. 6 is composite.
• Distributive Property of Multiplication over Addition (Multiplication – Addition Principle) – The product of any 2 factors can be found by separating 1 factor into parts or addends. Multiply each part or addend by the other factor and add the partial products.
• Base – tells what number is repeated as a factor.          42         4 is the base.
• Exponent – tells the number of times the base is repeated as a factor.          42         2 is the exponent.

### Chapter 4: Geometry Objectives

• Points
• Lines & Planes Rays
• Angles
• Measuring Angles
• Measure & Draw Angles
• Triangles
• Circles
• Graphing Figures

Chapter 4: Geometry Vocabulary
(Remember – Use pages 438 – 445 for Examples)
1. Point– A exact location in space represented by a dot.

2. Line – A straight path that goes on without end in 2 directions.

3. Line Segment – A part of a line having 2 endpoints.

4. Plane – A flat surface that goes on endlessly in all directions.

5. Ray – A part of a line that has 1 endpoint and goes on without end in one direction.

6. Angle – A figure formed when 2 rays share the same endpoint.

7. Vertex – Where 2 rays meet and form an angle.

8. Right Angle – An angle that measures 90° and forms a square corner.

9. Acute Angle – An angle that measures less than 90°.

10. Obtuse Angle – An angle that measures greater than 90°.

11. Straight Angle – An angle that measures 180°.

12. Parallel Lines – Lines that never intersect.

13. Perpendicular Lines – Intersecting lines that form 4 right angles.

14. Intersecting Lines – Lines that cross.

15. Acute Triangle – A triangle with all acute angles.

16. Right Triangle – A triangle with one right angle.

17. Obtuse Triangle – A triangle with one obtuse angle.

18. Radius – A line segment from the center point to a point on the circle.

19. Chord – A line segment that connects any two points on a circle.

20. Diameter – A line segment that connects 2 points on a circle and passes through the center point.

21. Central Angle – An angle with its vertex in the center of the circle.

### Chapter 5: Division Objectives

Division: 1 Digit Divisors

• Division 1-Digit Quotients
• 1 & 2 Digit Quotients
• 2 & 3 Digit Quotients
• Zero in the Quotient
• 4 Digit Dividends
• Estimate
• Short Form of Division

#### Chapter 5 – Division Vocabulary

1.) Division Equation/Division Sentence – a number sentence that uses the operation of division      24 ÷ 4 = 6

2.) Dividend – the number that is being divided       36 ÷ 6 = 6

3.) Divisor – the number by which the dividend is being divided        36 ÷ 6 = 6

4.) Quotient – the answer to a division problem       36 ÷ 6 = 6

5.) Related Fact(s)/Fact Family – math problems that use the same numbers

5 x 6 = 30

6 x 5 = 30

30 ÷ 5 = 6

30 ÷ 6 = 5

6.) Inverse Operations – operations that undo each other multiplication and division are inverse operations

6 x 5 = 30                    6 groups of 5 put together to make 30

30 ÷ 5 = 6                    30 separated/broken apart into 6 groups of 5

### Chapter 6: Fractions Objectives

Fractions

• Compare & Order
• Equivalent Fractions
• Mixed Numbers & Improper Fractions
• Greatest Common Factor (GCF)

Chapter 6: Fractions Vocabulary

• Fraction: a way to describe a part of a whole, group, or set that has been divided into equal groups.
• Numerator: how many parts of the whole you are referring to
• Denominator: how many parts make up a whole, group, or set.
• Benchmark Fraction: commonly used, recognizable fractions used for estimating
• Like Denominator: two or more fractions with the same denominator
• Unlike Denominators: two or more fractions that have denominators that are not the same.
• Proper Fraction: a fraction with a numerator that is less than the denominator.
• Improper Fraction: a fraction with a numerator that is greater than or equal to the denominator.
• Mixed Number: a number that consists of a whole number and a fractional amount.
• Equivalent Fractions: two or more fractions with the same value but different names
• Greatest Common Factor (GCF): the largest number that is a factor of two or more other numbers
• Least Common Multiple (LCM): the smallest number that is a multiple of two or more numbers
• Lowest Terms: a fraction where the numerator and denominator share no factor greater than 1.
• Simplify: to rename a fraction to lowest terms
• Simplest Form: a fraction where the numerator and denominator share no factor greater than 1.

### Chapter 7: Division: 2-Digit Divisors Objectives

Division – 2 Digit Divisors

• Whole Number Quotients up to 4-Digit Dividends
• 1, 2, and 3 Digit Quotients
• Order of Operations

Chapter 7 – Division Vocabulary

• Dividend – the number that is being divided

223 ÷ 31 = 7 r.6

• Divisor – the number by which the dividend is being divided

223 ÷ 31 = 7 r.6

• Quotient – the answer to a division problem

223 ÷ 31 = 7 r.6

• Remainder – The part left over after dividing a number (dividend) by another number (divisor).

223 ÷ 31 = 7 r.6

• Order of Operations – Used to solve multi-step equations.
1. parentheses (25 + 5) x 2 – 20 =
2. multiplication OR division      30 x 2 – 20 =
3. addition OR subtraction         60 – 20 = 40

### Chapter 8 – Time & Customary Measurement

#### Objectives-

• Convert Different Sizes of the Customary Measurement System
• Equivalent Units of Time
• Time to the minute
• AM & PM
• Use a Calendar
• Temperature

#### Vocabulary-

• Customary System – a system of measurement commonly used in the United States.
1. length– inch (in.), foot (ft), yard (yd), mile (mi)
2. mass/weight– ounce (oz), pound (lb), ton (tn)
3. capacity – cup (c), pint (pt), quart (qt), gallon (gal)
• Time – the 24 hours of each day are divided into AM times and PM times.

12 AM hours + 12 PM hours = 24 hours = 1 day

• Length– the distance from one point to another. Measured by a ruler or yard stick.
1. 1 foot = 12 inches
2. 1 yard = 3 feet
3. 1 yard = 36 inches
4. 1 mile = 1,760 yards
5. 1 mile = 5,280 feet
• Mass/Weight – the force of gravity on an object.
1. 1 pound = 16 ounces
2. 1 ton = 2,000 pounds
• Capacity- the amount a container can hold.
1. 1 cup = 8 fluid ounces
2. 1 pint = 2 cups
3. 1 quart = 2 pints
4. 1 gallon = 4 quarts
• Temperature – how hot or cold something is. The tool used to measure temperature is a thermometer.
1. Water boils at 212°F.
2. Normal body temperature is 98.6°F.
3. Water begins to freeze at 32°F.

Tricks –

Multiply to rename larger units as smaller units.

Divide to rename smaller units as larger units.

Great Math Websites

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