Third Grade Math (For Homeschool or Extra Practice)
By Greg Sherman
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About this ebook
Addition and Subtraction, Multiplication and Division, Fractions and Decimals, Money, Patterns, Metric System, Perimeter, Transformations and Symmetry, and more!
If you are home schooling (or if you are just trying to get extra practice for your child), then you already know that math workbooks and curriculum can be expensive. Home School Brew is trying to change that! We have teamed with teachers and parents to create books for prices parents can afford. We believe education shouldn’t be expensive.
Each topic of this book may also be purchased separately.
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Third Grade Math (For Homeschool or Extra Practice) - Greg Sherman
About Us
Homeschool Brew was started for one simple reason: to make affordable Homeschooling books! When we began looking into homeschooling our own children, we were astonished at the cost of curriculum. Nobody ever said homeschool was easy, but we didn't know that the cost to get materials would leave us broke.
We began partnering with educators and parents to start producing the same kind of quality content that you expect in expensive books...but at a price anyone can afford.
We are still in our infancy stages, but we will be adding more books every month. We value your feedback, so if you have any comments about what you like or how we can do better, then please let us know!
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Number Theory
Numbers are used throughout our society every day. Writing out a grocery list, balancing a checkbook, measuring windows to be fitted for curtains, figuring out someone’s age, and calculating how much time a project may take are all examples of how we use math. During Third Grade students will learn about whole numbers, ordinal numbers, even and odd numbers, comparing numbers (greater than, less than, equal), and Roman Numerals.
Whole Numbers and Place Values
Whole numbers are all numbers that are greater than or equal to one. The smallest whole numbers hold the Ones
place value and are the following: 1, 2, 3, 4, 5, 6, 7, 8, and 9. The sequence of whole numbers and their place values are determined by the number of places or columns they hold to the right of the ones
place. The table below shows you the layout of the places to the right and their values. You can see that zero, although not considered a whole number, plays an important role in the base name as a placeholder.
To be able to work with Whole Numbers, the students need to learn how to name them based on how many places
are occupied. For example, the number one hundred (100) is named as such because it has numbers occupying the ones, tens and hundreds places. The table below shows the place values and basic names for Whole Numbers up to Ten Thousand:
Naming Writing Numbers
Writing Names are given according to the number of places
the number occupies. For example, 10 is named ten
because the biggest place it occupies is the tens place.
One Hundred (100) is named for the (1) in the hundreds place.
Two Hundred (200) is named for the number two (2) and its placement in the hundreds place.
Five Thousand (5,000) is named for the number five (5) and its placement in the thousands place.
Eleven Thousand (11,000) is named for the number eleven (11) its placement in the ten thousands place.
To make naming numbers more interesting, the following examples include numbers in the various places instead of zeros:
15,156 Name: Fifteen thousand, one hundred fifty-six
2,124 Name: Two thousand, one hundred twenty-four
357 Name: Three hundred fifty-seven
17 Name: Seventeen
When zeros are used as place markers, they are NOT part of the name:
108 Name: One hundred eight
8,052 Name: Eight thousand, fifty-five
Expanded Whole Numbers
Whole numbers can be expanded’ into their separate
place" parts to make understanding places and naming easier for the students.
An example of an expanded number is presented below:
327 = 300 + 20 + 7
The number is broken down into hundreds, tens and ones to show the value of each number in Three hundred twenty-seven. The (3) is three hundreds, the (2) is two tens and the (7) is seven ones.
Based on the above information, students will be able to name the place a specific number occupies and the value of a digit based on its place.
For example, students will have to answer the following-type questions:
1. What is the place value of the (7) in 207? Answer: ones
2. What is the place value of the 3 in 3,021? Answer: thousands
3. Which number shows the 2 with a value of 200: 124, 3,257, or 12? Answer: 3,257
4. Which number shows the number 8 with the value of 80: 38, 1,328, or 287? Answer: 287
Ordinal Names
Another naming process for numbers is using the numbers themselves as place markers. These number names are used for ranking items, ordering number placements in a list, or indicating where numbers are located on a number line relative to each other.
The number line above shows whole numbers from One to Twenty-Five. Ordinal naming of the numbers on this number line looks like the following:
Using the number line and Ordinal placement names, the following tasks can be performed:
1. What number is the 3rd to the right of 20?
2. If Lisa came in 3rd in the running race, what were the places that came in before?
3. Which number place comes after 36th place?
4. Which place is five places to the left of 14?
Even and Odd Numbers
Even numbers are all multiples of the number two. Or, they are all divisible by two. If a number cannot be divided completely by two (into two equal halves), it is NOT an even number.
Counting by even numbers always results in the next number in line also being even. The following examples are counting using even numbers:
Two’s: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Four’s: 4, 8, 12, 16, 20,