# Manual Multiplication and Division

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## 5th Grade Math Worksheets: Multiplication & Division

Listen for key terms such as "groups of," "multiplied," "divide," "repeated addition," etc. Ask students to share their ideas and write them on the board. If they haven't given an equation, ask them to write on the board as many equations they can think of that relate to the picture e. Ask students to solve for the blanks in partners if they hadn't done so in the sharing portion. Circle the multiplication and division equations and rewrite them on the board stacked on top of each other. Explain that today they'll review the inverse relationship of multiplication and division to help solve future word problems.

Define inverse operation as an operation that reverses the effect of another operation. With multiplication and division, if you multiply to get a product, you can use division to reverse the operation by dividing the product, and vice versa. The product is the answer when two or more numbers are multiplied together.

Provide a simple multiplication and division problem using the same numbers. Model how you can change a division problem into a multiplication problem to make the division problem easier to solve. Highlight that converting multiplication equations to division equations is a strategy to divide by focusing on memorized or familiar multiplication facts.

Check your answer using the picture representation of your choice e. Guided Practice 20 minutes. Distribute the worksheet The Inverse Relationship of Division and read the directions. Tell students they'll work in pairs to answer the questions and find the inverse of each of the equations. Conduct a multiplication fluency game in which there are two teams placed in two lines perpendicular to the board. Project the Division Facts to with One-Digit Divisors exercise and have one student from each team compete to quickly convert the division equation to a multiplication problem and provide the answer.

The students who get the correct answer first win a point for their team. Allow them to use whiteboards as necessary. Independent working time 10 minutes. Distribute the Multiplication and Division Review worksheet and ask students to complete the top section on their own. Allow students to meet in partners to share their answers and correct misconceptions. Choose students to share any corrections they made and their process to get the right answer with the class.

## 3.3.3 Multiplication and Division Math Terminology

Download to read more. Support: Provide a pre-lesson with simple multiplication and division problems with manipulatives and a review of vocabulary terms and their meanings. Allow students to practice converting equations with a common factor e. Use a worksheet like the optional Division Facts: 9s worksheet for assistance. Enrichment: Allow students additional practice with the inverse operations of multiplication and division with the Math Crossword Puzzle worksheet. Ask them to complete the word problems in the Multiplication and Division Review worksheet and show their method and equations, or create their own word problems.

Assessment 7 minutes. Write the following numbers on the board: 72, 9, 8. Distribute the index cards and ask students to write a multiplication and division equation using those numbers. Then, ask them to write how they know their answers are correct.

### Explanations (3)

Allow them to read their explanations to their elbow partners. Review and closing 5 minutes. Review some of the ideas students shared in partners with the whole class. Related learning resources. Division Crossword. You could try for different numbers and different rules. Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time? Who's 'it'? It's you! Three players? Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers? Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules. This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row? Place four pebbles on the sand in the form of a square.

Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

• Descriptions;
• Multiplication and Division.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only? Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube? What do you think is happening to the numbers? What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen. I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6.

What could my number be? Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids. Which pairs of cogs let the coloured tooth touch every tooth on the other cog?

### Multiplication and Division Worksheets

Which pairs do not let this happen? Can you fill in this table square? The numbers 2 were used to generate it with just one number used twice. What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers?

How about the shaded numbers in the other squares? Each light in this interactivity turns on according to a rule. What happens when you enter different numbers?

Multiplication and Division Word Problems

Can you find the smallest number that lights up all four lights? Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children.

## Multiplication and Division |General Process of Division and Multiplication

Use the information to find out what the three numbers were. This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

• Philosophy of Mind, Revised Edition: A Beginners Guide.
• Multiplication and Division Pick n Mix 1 | NZ Maths;
• Collected Works, Volume 44: Letters 1870-73;
• Relate division to multiplication (practice) | Khan Academy?

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used? Use 4 four times with simple operations so that you get the answer Can you make 15, 16 and 17 too?

Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on? Main menu Search. Multiplication and Division. Multiplication Squares Age 7 to 11 Challenge Level: Can you work out the arrangement of the digits in the square so that the given products are correct?

What's in the Box? Age 7 to 11 Challenge Level: This big box multiplies anything that goes inside it by the same number. Ordering Cards Age 5 to 11 Challenge Level: This problem is designed to help children to learn, and to use, the two and three times tables. Let Us Divide! Age 7 to 11 Challenge Level: Look at different ways of dividing things. Sweets in a Box Age 7 to 11 Challenge Level: How many different shaped boxes can you design for 36 sweets in one layer? What Do You Need?

Age 7 to 11 Challenge Level: Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Multiply Multiples 1 Age 7 to 11 Challenge Level: Can you complete this calculation by filling in the missing numbers? Highest and Lowest Age 7 to 11 Challenge Level: Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Which Is Quicker? Age 7 to 11 Challenge Level: Which is quicker, counting up to 30 in ones or counting up to in tens? Three Dice Age 7 to 11 Challenge Level: Investigate the sum of the numbers on the top and bottom faces of a line of three dice. Multiply Multiples 2 Age 7 to 11 Challenge Level: Can you work out some different ways to balance this equation?

Trebling Age 7 to 11 Challenge Level: Can you replace the letters with numbers? Is there only one solution in each case? Can you find different ways of doing it? Abundant Numbers Age 7 to 11 Challenge Level: 48 is called an abundant number because it is less than the sum of its factors without itself.

A Square of Numbers Age 7 to 11 Challenge Level: Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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