Elementary Studies

Long Division

Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process.

Students often have difficulty in following the long division steps. A funny Acronym to remember these steps is:
Dirty Monkeys Smell Bad!

 Long Division Steps Poster

Here is my Long Division pack to learn and practice long division with easy to follow grid assisted worksheets.

This pack includes worksheets for 2, 3, and 4 digit dividends with single digit divisors. A total of 30 worksheets covering different types of problems with remainders and no remainders kind.

Acronym poster and answer key is included.

Happy Teaching!

Shimps

Rounding of numbers to the nearest 10 and 100

Hi Everyone,

Today, I am going to share some of my work on the topic Rounding to the nearest 10 and 100. Typically rounding is introduced in Grade 3. The supporting common core standard is:

Math 3.NBT.A.1: Use place value understanding to round whole numbers to the nearest 10 or 100.

Rounding of a number means replacing it by another number that is approximately of equal value but making it simpler. This is an important skill for students to build on their number sense. For some students, performing rounding of numbers can be quite confusing. My motive was to make something simple, interactive and yet effective to help the little learners understand the concept of rounding.

I am a big fan of Anchor Charts which are created during the instruction of topic. These goes a long way in reinforcing the unit and students can reference it back too!

Rounding Anchor Charts:

 Rounding Anchor Chart
 Rounding Anchor Chart

Divisibility Rules

Divisible: When one number can be divided by another number without leaving a remainder.
For example, 6 is divisible by 3.

Divisibility rules of whole numbers help us to quickly determine if a number can be divided by 2, 3, 4, 5, 9, and 10 without doing a long division. These rules have a wide range of applications in mathematics like finding factors, determining prime versus composite numbers and simplifying fractions etc.

Knowing the divisibility rules will prepare students to work with larger numbers. You may introduce the concept in grade 4 and as a refresher for 5th graders.

Use these worksheets and a ready reference poster to have students familiarize and practice the divisibility rules. Included are 11 worksheets and 2 posters (both in Colored and Black & White versions) for dividing by 2, 3, 4, 5, 6, 9, and 10.

You may also print the poster as 2 copies per page and have students stick in their notebooks for quick reference.

You can buy this Divisibility Rules pack from HERE.

Thanks

Shimps

Odd and Even numbers

Even numbers: Even numbers are the numbers that are divisible by 2. For example, 8 can be divided by 2, so 8 is an even number.

Odd numbers: Odd numbers are the numbers that are not divisible by 2. For example, 9 cannot be divided by 2, so 9 is an odd number.

This definition works well with the kids who are familiar with multiplication and division. As this concept is introduced to first graders or second graders where a majority of kids are not familiar with Multiplication and Division, so we should teach this in a different way.

Even numbers: A number is even if it can be divided into groups of 2 and have no leftovers. For example, 8 can be divided into 4 groups of 2 and there is no leftover, so 8 is an even number.

Odd numbers: A number is odd if it can be divided into groups of 2 and have 1 leftover. For example, when dividing 9 into groups of 2 we can make 4 groups of 2 and there is still 1 leftover, so 9 is an odd number.

• An even number ends in 0, 2, 4, 6, or 8.
• An odd number ends in 1, 3, 5, 7, or 9.

For example, 239 is an odd number as it has 9 at ones place. Similarly, 238 is even number as it has 8 at ones place.

Have a look at my Odd and Even numbers packet, which includes the no prep worksheets and activities to learn and reinforce the concept of Odd and Even numbers.

Here is the list of resources included in this even and odd numbers packet:
1. Cut and paste activities.
2. Even and Odd coloring activity.
3. Ice cream scoop activity.
4. Making a paper chain - craft activity.
5. Fun worksheets.
You can buy this Even and Odd numbers worksheets pack from HERE.

Literature to go with this topic:

Even Steven and Odd Todd by Kathryn Cristaldi.

This is a funny book about two cousins Steven and Todd. Even Steven likes everything even and Odd Todd likes everything odd. A great read for first and second graders. Check this out on Amazon HERE.

Happy Teaching!

Shimps

Equivalent Fractions

While teaching equivalent fractions, the very first question that I always ask my students is: What does equivalent means? The answer comes “Equal”.

Yes, Equivalent means Equal in Value or Amount.

Two or more fractions are said to be Equivalent if they represent the same part of a whole.

Example:

These two models are of the same size and both shows the equal shaded parts of a whole. So,
$$\frac{1}{3}\textrm{ is equivalent to }\frac{2}{6}$$
Another way of showing equivalent fractions is using the number line. Lets look at the same example:

These two red dots are on the same point on the number line and represents the equivalent fraction.
$$\frac{1}{3}\textrm{ is equivalent to }\frac{2}{6}$$

Finding Equivalent fractions

Every fraction has many equivalent fractions. You can find these by using multiplication or division.

Multiplication: Multiply the numerator and denominator by the same number. For example:
$$\frac{1}{3} \times \frac{2}{2}=\frac{2}{6}$$
$$\frac{1}{3}\textrm{ is equivalent to }\frac{2}{6}$$

Division: Divide the numerator and denominator by the same number. For example:
$$\frac{5}{10} \div \frac{5}{5}=\frac{1}{2}$$
$$\frac{5}{10}\textrm{ is equivalent to }\frac{1}{2}$$
Here is my Equivalent Fractions worksheet and activity pack to introduce, reinforce and practice the concept. This packet is designed primarily for third graders, but can also be used as a review for fourth graders.

This includes the following worksheets and activities on equivalent fractions:
1. Use the fraction area models to complete the number sentence.
2. Use the number line to find the equivalent fractions
3. Find the equivalent fractions without the use of models
4. Equivalent Fractions Ice cream scoop activity
5. Cut and paste activity
6. Make Equivalent Fractions Paper Chain
7. Equivalent Fractions Mystery Pictures

A total of 15 worksheets and activities plus the answer key.

Happy Teaching!

Shimps