## Multiply and Divide Within 100

#### Aligned To Common Core Standard:

**Grade 3 Operations** - 3.OA.7

These operations normally take students a little longer to master than the lesser operations. Working off a good foundation of understanding the times tables is always helpful. In this section we are working mostly with a mixture of single- and double-digit products and quotients. The goal is to help students develop a solid level of fluency with these operations in many different situations. We will eventually work on applying this foundational skill to real world problems that will suit your everyday. These worksheets will help students work on these skills in a spiral and growth model. Make sure you do well on the quizzes at the end to make sure you are ready to move forward to working with larger values. This topic scales very quickly and goes from 0 to 60 very rapidly.

### Multiply and Divide Within 100 Worksheets And Lessons

- Both Orientations Step-by-step Lesson- I do both forms (vertical and horizontal) of division and multiplication that students will see.
- Guided Lesson - This one is done in baby steps. I have pictures that go right along with the problem.
- Guided Lesson Explanation - I chart out the course for every problem. I'm not sure how I could have been more in depth.
- Creating Products and Quotients Lesson - Create your own products and quotients.
- Creating Products and Quotients Practice - More practice on this skill for you.
- Practice Worksheet - Calculate the products and quotients in all orientations.
- Matching Worksheet - Match the problems to their product or quotient.

#### Homework Sheets

A sheet for each skill followed by using the skill of finding doubles and halves.

- Homework 1- This can be thought of as repeated addition.
- Homework 2- Complete all the division problems in the various formats.
- Homework 3- You run a cheese shop. Your inventory can be seen below. On Monday, you had double this inventory. On Tuesday, you had half of this inventory.

#### Practice Worksheets

A whole bunch of different formats in here. See how it goes.

- Practice 1- Multiply or divide the two numbers. This is a real mix of digit values.
- Practice 2- Match the problems to their answers. This is an equation matching activity.
- Practice 3- Pictures multiplied by integers. This is a nice place to build up from, if students are having difficulty.
- Practice 4- Divide the pictures by the divisors that are presented to you.
- Guided Lesson 2- Break these numbers into pieces.

#### Math Skill Quizzes

Many people asked for a nice mix of problems each quiz has 24 problems.

### Tips for Multiplication and Division

Multiplication and division problems are more challenging for kids to solve as compared to addition and subtraction. That is because these mental math facts are much more amplified and more difficult to commit to memory. It takes a great amount of practice. With these super-effective and simple tips and tricks, kids can easily solve multiplication and division problems.

**Multiplication**

- The Concept of Doubles – This can work when you are working with products that involve a multiplier of 2 or 4. Multiplying by 2 means you must add the number twice; 2 x 4 = 2 + 2 + 2 + 2 = 8. Multiplying by four is to double the number twice; 4 x 2, double of 2 is 4, and the double of 4 is 8. We can even work off of doubles and work up to triples to make it easier to multiply by 8s. Multiplying by 8 means doubling thrice. 8x2, double of 2 is 4, double of 4 is 8, and double of 8 is 16.

- You can look at multiples of 5s in a different way all together. Multiplying by 5 means you have cut the number in half, and multiply by 10. 5 x 6, half of 6 is 3 and 3 x 10 = 30. You can even scale this up o work even better for you. Multiplying by 5 can provide the answer even when you multiply by 10 and then cut the answer into half. 4 x 10 = 40, cut into half, you get 20, which is the answer when you multiply 5 by 4.

- When six is multiplied by an even number, they both end in the same digit. 6 x 2 = 12, 6 x 6 = 36

- Working with 10s is pretty easy, it just involves adding a zero. When multiplying a number by 10, just add a zero at the end of the digit; 10 x 2 = 20, 10 x 5 = 50

**Division**

- You can check the answer of a division quotient by multiplying the quotient by the divisor.

- If the sum of a number is divided by 3, the number will also be divisible by 3.

- Any number divided by 1 results in the number itself; 2x1 = 2, 5x1 = 5.

- If the last two digits of a number are divisible by 4, the number will also be divisible by 4.

- If the last digit is an even number, it will be divisible by 2.