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Grade 6 |
Grade 7 |
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Standard 1.0 Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
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Standard 1.0 Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
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Standard 1.0 Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
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A. Patterns and Functions
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A. Patterns and Functions
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A. Patterns and Functions
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1. Identify, describe, extend, and create numeric patterns and functions
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1. Identify, describe, extend, and create numeric patterns and functions
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1. Identify, describe, extend, and create linear patterns and functions
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a. Interpret and write a rule for a one-operation (+, -, x, ÷ with no remainders) function table
Assessment limit:
- Use whole numbers or decimals with no more than 2 decimal places (0 – 1000)
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a. Identify and describe sequences represented by a physical model or in a function table
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a. Complete a function table with a given two-operation rule
Assessment limit:
- Use the operations (+, -, x), numbers no more than 20 in the rule and whole numbers (0-500)
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b. Create a one-operation (x, ÷ with no remainders) function table to solve a real world problem
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b. Interpret and write a rule for a one-operation (+, -, x, ÷ ) function table
Assessment limit:
- Use whole numbers or decimals with no more than two decimal places (0 – 10,000)
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b. Identify and extend a geometric sequence
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c. Complete a one-operation function table
Assessment limit:
- Use whole numbers with +, -, x, ÷ (with no remainders) or use decimals with no more than two decimal places with +, - (0 – 200)
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c. Complete a function table with a given two-operation rule
Assessment limit:
- Use the operations of (+, -, x), numbers no more than 10 in the rule, and whole numbers (0 - 50)
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c. Describe how a change in one variable in a linear function affects the other variable in a table of values
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d. Apply a given two operation rule for a pattern
Assessment limit:
- Use two operations (+, -, x) and whole numbers (0 – 100)
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B. Expressions, Equations, and Inequalities
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B. Expressions, Equations, and Inequalities
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B. Expressions, Equations, and Inequalities
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1. Write and identify expressions
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1. Write and evaluate expressions
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1. Write and evaluate expressions
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a. Represent unknown quantities with one unknown and one operation (+, -, ×, ÷ with no remainders)
Assessment limit:
- Use whole numbers (0 – 100) or money ($0 - $100)
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a. Write an algebraic expression to represent unknown quantities
Assessment limit:
- Use one unknown and one operation (+, -) with whole numbers, fractions with denominators as factors of 24, or decimals with no more than two decimal places (0-200)
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a. Write an algebraic expression to represent unknown quantities
Assessment limit:
- Use one unknown and one or two operations (+, -, ×, ÷ with no remainders) with whole numbers, fractions with denominators as factors of 100, or decimals with no more than three decimal places (0-500)
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b. Determine the value of algebraic expressions with one unknown and one operation
Assessment limit:
- Use +, - with whole numbers (0-1000) or ×, ÷ (with no remainders) with whole numbers (0-100) and the number for the unknown is no more than 9
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b. Evaluate an algebraic expression
Assessment limit:
- Use one unknown and one operation (+, -) with whole numbers (0 – 200), fractions with denominators as factors of 24 (0 – 50), or decimals with no more than two decimal places (0 – 50)
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b. Evaluate algebraic expressions
Assessment limit:
- Use one unknown and no more than two operations (+, -, ×, ÷ with no remainders) with whole numbers (0 – 200), fractions with denominators as factors of 100 (0 – 100), or decimals with no more than three decimal places (0 – 100)
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c. Use parenthesis to evaluate a numeric expression
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c. Evaluate numeric expressions using the order of operations
Assessment limit:
- Use no more than 4 operations (+, -, x, ÷ with no remainders) with or without 1 set of parentheses or a division bar and whole numbers (0-100)
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c. Evaluate numeric expressions using the order of operations
Assessment limit:
- Use no more than 4 operations (+, -, ×, ÷ with no remainders) with or without up to 2 sets of parentheses, brackets, or a division bar, with whole numbers (0 – 200), fractions with denominators as factors of 100 (0 – 100), or decimals with no more than three decimal places (0 – 100)
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d. Represent algebraic expressions using physical models, manipulatives, and drawings
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d. Simplify algebraic expressions represented as physical models by combining like terms
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2. Identify, write, solve, and apply equations and inequalities
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2. Identify, write, solve, and apply equations and inequalities
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2. Identify, write, solve, and apply equations and inequalities
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a. Represent relationships by using the appropriate relational symbols (>, <, =) and one operational symbol (+, -, ×, ÷ with no remainders) on either side
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a. Identify and write equations and inequalities to represent relationships
Assessment limit:
- Use a variable, the appropriate relational symbols (>, <, =), and one operational symbol (+, -, ×, ÷) on either side and use fractions with denominators as factors of 24 (0 – 50) or decimals with no more than two decimal places (0 – 200)
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a. Write equations and inequalities to represent relationships
Assessment limit:
- Use a variable, the appropriate relational symbols (>, ≥, <, ≤, =), and one or two operational symbols (+, -, ×, ÷) on either side and use whole numbers, fractions with denominators as factors of 100, or decimals with no more than three decimal places (0 – 500)
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b. Find the unknown in an equation use one operation (+, -, ×, ÷ with no remainders)
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b. Determine the unknown in a linear equation
Assessment limit:
- Use one operation (+, -, ×, ÷ with no remainders) and use positive whole number coefficients using decimals with no more than two decimal places (0 – 100)
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b. Determine the unknown in a linear equation
Assessment limit:
- Use one or two operations (+, -, ×) and the unknown only once with whole numbers (0 – 500), fractions with denominators as factors of 100 (0 – 50), or decimals with no more than three decimal places (0 – 100)
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c. Solve for the unknown in a one-step inequality
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c. Solve for the unknown in an inequality
Assessment limit:
- Use an inequality with one variable with a positive whole number coefficient and one operation (+, -, ×, ÷ with no remainders) using whole numbers or decimals with no more than 2 decimal places (0 – 500)
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d. Identify or graph solutions of a one-step inequality on a number line
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d. Identify or graph solutions of inequalities on a number line
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e. Apply given formulas to a problem solving situation
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e. Apply given formulas to a problem solving situation
Assessment limit:
- Use formulas having no more than three variables and up to two operations, with whole numbers, fractions with denominators as factors of 100, or decimals with no more than three decimal places (0 – 100)
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C. Numeric and Graphic Representations of Relationships
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C. Numeric and Graphic Representations of Relationships
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C. Numeric and Graphic Representations of Relationships
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1. Locate points on a number line and in a coordinate grid
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1. Locate points on a number line and in a coordinate plane
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1. Locate points on a number line and in a coordinate plane
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a. Represent decimals and mixed numbers on a number line
Assessment limit:
- Use decimals with no more than two decimal places (0 – 100) or mixed numbers with denominators of 2, 3, 4, 5, 6, 8, or 10 (0 - 10)
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a. Represent rational numbers on a number line
Assessment limit:
- Use integers (-20 to 20)
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a. Represent rational numbers on a number line
Assessment limit:
- Use rational numbers (-100 to 100)
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b. Create a graph in a coordinate plane
Assessment limit:
- Use the first quadrant and ordered pairs of whole numbers (0 – 50)
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b. Graph ordered pairs in a coordinate plane.
Assessment limit:
- Use no more than 3 ordered pairs of integers (-20 to 20) or no more than 3 ordered pairs of fractions/mixed numbers with denominators of 2 (-10 to 10)
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b. Graph ordered pairs in a coordinate plane
Assessment limit:
- Use no more than 4 ordered pairs of rational numbers (-20 to 20)
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c. Graph linear data from a function table
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c. Graph linear equations with one operation in a coordinate plane
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2. Analyze linear relationships
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2. Analyze linear relationships
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a. Identify and describe the change represented in a graph
Assessment limit:
- Identify increase, decrease, or no change
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a. Identify and describe the change represented in a table of values
Assessment limit:
- Identify increase, decrease, or no change
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b. Translate the graph of a linear relationship onto a table of values that illustrates the type of change
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b. Describe the rate of change of a linear relationship by a table of values and a graph
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