Unit 3 Whole Number Computation
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Learning Outcomes
• Create and solve multi step practical problems involving operations of whole numbers • Interpret remainders in practical problems involving division of whole numbers • Estimate sums, differences, products, and quotients of whole number computations • Use the order of operations to evaluate expressions involving whole numbers (limited to parentheses, addition, subtraction, multiplication, and division) • Investigate and utilize the distributive property of multiplication over addition to promote a flexible understanding of multiplication |
Essential Questions
• How do the rules of mathematics influence how problems are solved? • How does decomposing and composing numbers in different ways help you with computation? • Why would you represent a remainder in different ways? • How can you use multiplication or division to solve the same problem? • What relationships are there between operations? • How can estimation support the calculation of an exact solution? • What evidence of the base-ten system is displayed in your computation strategies? • How can the distributive property be used to compute mentally and/or more efficiently? • What questions do you ask yourself when you are solving problems and reflecting on your solutions? |
Unit 3 Vocabulary
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Order of Operations
parentheses expression algorithm |
problem solving
solution estimation calculation |
Long Division
share model remainder array decomposing numbers |
Order of Operations |
The standard order that math equations are solved.
Parentheses, exponents, Multiplication/division, addition/subtraction |
Parenthese
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Exponents (not in 5th grade)
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Multiplication/division in order left to right
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Addition/Subtraction in order left to right
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Parentheses |
Bars around a part of an equation that signal the first step in the order of operations
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Expression |
A math problem that may have multiple numbers or variables. To solve an expression, the order of operations would be used.
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Algorithm |
A "standard" way to solve a math equation.
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Estimation |
A way to make a GOOD guess used for quickly solving a problem. Estimation uses rounding to solve.
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Long Division |
a step-by-step process to divide large numbers into equal groups. The important terms used while working with division are: dividend, divisor, quotient, and remainder.
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Share model |
A visual model for solving multiplication or division problems
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Array |
A visual model that organizes factors in a multiplication and division problems
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