The Four Operations

Unit Review Sheet

Facts and Definitions

Lesson 1: Addition Practice and Problem Solving

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Lesson 2: Subtraction Practice and Problem Solving

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Lesson 3: Multiplication and Its Properties

• Commutative property of multiplication: math law that states that the order of the numbers doesn't matter when multiplying; a × b = b × a
• Identity property of multiplication: math law that states that when multiplying a number by one, the product is always the number itself; also called the one property of multiplication
• Zero property of multiplication: math law that states that when multiplying a number by zero, the product is always zero
• Associative property of multiplication: math law that states that when multiplying more than 2 numbers, it doesn't matter which numbers you multiply first
• Distributive property of multiplication: math law that states that when given a multiplication problem, it's possible to break a factor down into easier numbers, find the products of the other factor with those easier numbers, and then add those products together to find the product of the original problem

Lesson 4: Reviewing and Writing Division

• Dividend: the number being divided (8÷2=4)
• Divisor: the number by which the dividend is being divided (8÷2=4)
• Quotient: the answer to a division problem (8÷2=4)
• Remainder: amount left over when a number has been divided into equal groups; "remainder" is represented by a capital R at the end of a division problem (9÷4=2 R 1)
• When we can divide a number into equal groups by a given number, we say the larger number (dividend) is divisible by the given number (divisor). (8÷4=2, so 8 is divisible by 4)
• To check the answer of a division problem, multiply the quotient by the dividend and then add the remainder. For example, to check 15÷2=7 R 1, multiply the quotient (7) by the divisor (2) and then add the remainder (1), so 7×2=14, and 14+1=15.

Lesson 5: Playing With the Four Operations

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Lesson 6: Multiples vs. Factors

• Factor: a number that is multiplied by another number to get a product (for example, 3 is a factor of 12 because 3×4=12)
• Multiple: the product of a number and another number (for example, 36 is a multiple of 4 and 9, 2 has the following multiples: 2, 4, 6, 8, 10…)

Lesson 7: More Work With Factors

• A factor rainbow is a visual aid to help find all of the factors in a number. Each pair of factors is linked by a different-colored arch.

Lesson 8: Prime and Composite Numbers

• Prime number: a number greater than 1 that has only 2 factors — 1 and itself (for example, 2, 3, 11)
• Composite number: a number that has more than 2 factors (for example, 4, 6, 12)

Lesson 9: Extending Factors and Prime Numbers

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Lesson 10: More Number Play

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Lesson 11: Working With Equations

• Equation: a math problem that says that two things are equal and includes an equal sign (for example, 3+5=8)
• Variable: symbol for a number that is unknown
• Balancing an equation means making sure that both sides of the equation are equal

Lesson 12: More Work With Equations

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Lesson 13: Problem Solving

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Lesson 14: Unit Test

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Final Project: Different Types of Numbers

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