Numerical Expressions, Patterns, & Relationships
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Vocabulary
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Lesson 1: Variables and Expressions
Main Idea: Students translate words into algebraic expressions. They learn how some mathematical phrases can be represented using a variable in an algebraic expression.
Standard (s): 5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation U1add 8 and 7, then multiply by 2Ue as 2 x (8 +7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
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Main Idea: Students translate words into algebraic expressions. They learn how some mathematical phrases can be represented using a variable in an algebraic expression.
Standard (s): 5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation U1add 8 and 7, then multiply by 2Ue as 2 x (8 +7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Related Links:
City Under Siege
Swimming Otters
Lesson 2: Order or Operations
Main Idea: Students use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations. They learn that to simplify a numerical expression, first compute within parentheses. Then do any multiplication and division calculations, followed by any addition and subtraction calculations.
Standard (s): 5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
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Main Idea: Students use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations. They learn that to simplify a numerical expression, first compute within parentheses. Then do any multiplication and division calculations, followed by any addition and subtraction calculations.
Standard (s): 5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
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Order of Operations Millionaire
Order of Operations
Order of Ops
Lesson 3: Evaluating Expressions
Main Idea: Students use the order of operations to evaluate expressions with whole numbers and decimals. They learn that there is an agreed-upon order in which operations in a numerical expression are performed.
Standard (s): 5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
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Main Idea: Students use the order of operations to evaluate expressions with whole numbers and decimals. They learn that there is an agreed-upon order in which operations in a numerical expression are performed.
Standard (s): 5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
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Lesson 4: Addition and Subtraction Expressions
Main Idea: Students study completed tables to determine a rule and write an expression with addition or subtraction. They learn how patterns can sometimes be used to identify a relationship between two quantities. They also learn that some real-world quantities have a mathematical relationship and the value of one quantity can be found if you know the value of the other quantity.
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
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Main Idea: Students study completed tables to determine a rule and write an expression with addition or subtraction. They learn how patterns can sometimes be used to identify a relationship between two quantities. They also learn that some real-world quantities have a mathematical relationship and the value of one quantity can be found if you know the value of the other quantity.
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Related Links:
Baseball Math
Find a rule
Lesson 5: Multiplication and Division Expressions
Main Idea: Students study completed tables to determine a rule and write an expression with multiplication or division. They learn how patterns can sometimes be used to identify a relationship between two quantities. They also learn that some real-world quantities have a mathematical relationship and the value of one quantity can be found if you know the value of the other quantity.
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
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LearnZillion use quick code LZ790
Main Idea: Students study completed tables to determine a rule and write an expression with multiplication or division. They learn how patterns can sometimes be used to identify a relationship between two quantities. They also learn that some real-world quantities have a mathematical relationship and the value of one quantity can be found if you know the value of the other quantity.
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Related Links:
LearnZillion use quick code LZ790
Lesson 6: Patterns: Extending Tables
Main Idea: Students extend patterns in a table using given rules, and then look for the relationship between corresponding terms in the sequences. They learn how patterns that repeat in predictable ways may be used to identify relationships
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Related Links:
Math Wire extending tables
Extending tables- apple trees
Input and Output Tables
More Input and Output
Main Idea: Students extend patterns in a table using given rules, and then look for the relationship between corresponding terms in the sequences. They learn how patterns that repeat in predictable ways may be used to identify relationships
Standard (s): 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule U1Add 3Ue and the starting number 0, and given the rule U1Add 6Ue and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Related Links:
Math Wire extending tables
Extending tables- apple trees
Input and Output Tables
More Input and Output
Lesson 7: Problem Solving- Use Reasoning
Main Idea: Students solve problems by showing how to act out the problem. They also use information given in the problem to draw conclusions. They learn how some problems can be solved by using objects to act out the actions in the problem and some problems can be solved by reasoning about the conditions in the problem.
Standard (s): 5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation U1add 8 and 7, then multiply by 2Ue as 2 x (8 +7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Related Links:
City Under Siege
Million Dollar Mission
Main Idea: Students solve problems by showing how to act out the problem. They also use information given in the problem to draw conclusions. They learn how some problems can be solved by using objects to act out the actions in the problem and some problems can be solved by reasoning about the conditions in the problem.
Standard (s): 5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation U1add 8 and 7, then multiply by 2Ue as 2 x (8 +7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Related Links:
City Under Siege
Million Dollar Mission