# State Curriculum - Mathematics

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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. 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. 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.
A. Patterns and Functions A. Patterns and Functions A. Patterns and Functions
1. Identify, describe, extend, and create numeric patterns and functions
1. Identify, describe, extend, and create linear patterns and functions
1. Identify, describe, extend, and create patterns, functions and sequences
a. Identify and describe sequences represented by a physical model or in a function table
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)
a. Determine the recursive relationship of arithmetic sequences represented in words, in a table or in a graph
Assessment limit:
• Provide the nth term no more than 10 terms beyond the last given term using common differences no more than 10 with integers (-100 to 5000)
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)
b. Identify and extend a geometric sequence
b. Determine the recursive relationship of geometric sequences represented in words, in a table, or in a graph
Assessment limit:
• Provide the nth term no more than 5 terms beyond the last given term using the recursive relationship of geometric sequences with whole numbers and a common ratio of no more than 5:1 (0 – 10,000)
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)
c. Describe how a change in one variable in a linear function affects the other variable in a table of values
c. Determine whether relationships are linear or nonlinear when represented in words, in a table, symbolically, or in a graph
Assessment limit:
• Use a graph to determine if a relationsip is linear or nonlinear
d. Determine whether relationships are linear or nonlinear when represented symbolically
B. Expressions, Equations, and Inequalities B. Expressions, Equations, and Inequalities B. Expressions, Equations, and Inequalities
1. Write and evaluate expressions
1. Write and evaluate expressions
1. Write, simplify, and evaluate expressions
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)
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)
a. Write an algebraic expression to represent unknown quantities
Assessment limit:
• Use one unknown and no more than 3 operations and rational numbers (-1000 to 1000)
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)
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)
b. Evaluate an algebraic expression
Assessment limit:
• Use one or two unknowns and up to three operations and rational numbers (-100 to 100)
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)
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)
c. Evaluate numeric expressions using the order of operations
Assessment limit:
• Use no more than 5 operations including exponents of no more than 3 and 2 sets of parentheses, brackets, a division bar, or absolute value with rational numbers (-100 to 100)
d. Represent algebraic expressions using physical models, manipulatives, and drawings
d. Simplify algebraic expressions represented as physical models by combining like terms
d. Simplify algebraic expressions by combining like terms
Assessment limit:
• Use no more than 3 variables with integers (-50 to 50), or proper fractions with denominators as factors of 20 (-20 to 20)
e. Describe a real-world situation represented by an algebraic expression
2. Identify, write, solve, and apply equations and inequalities
2. Identify, write, solve, and apply equations and inequalities
2. Identify, write, solve, and apply equations and inequalities
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)
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)
a. Write equations or inequalities to represent relationships
Assessment limit:
• Use a variable, the appropriate relational symbols (>, ≥, <, ≤, =) and no more than 3 operational symbols (+, -, ×, ÷) on either side and rational numbers (-1000 to 1000)
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)
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)
b. Solve for the unknown in a linear equation
Assessment limit:
• Use one unknown no more than 3 times on one side and up to three operations (same or different but only one division) and rational numbers (-2000 to 2000)
c. Solve for the unknown in a one-step inequality
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)
c. Solve for the unknown in an inequality
Assessment limit:
• Use a one- or two-operation inequality with one variable on one side no more than 3 times whose result after combining coefficients is a positive whole number coefficient with integers (-100 to 100)
d. Identify or graph solutions of a one-step inequality on a number line
d. Identify or graph solutions of inequalities on a number line
d. Identify or graph solutions of inequalities on a number line
Assessment limit:
• Use one variable once with a positive whole number coefficient and integers (-100 to 100)
e. Apply given formulas to a problem solving situation
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)
e. Identify equivalent equations
Assessment limit:
• Use one unknown no more than 3 times on one side and up to three operations (same or different but only one division) and integers (-2000 to 2000)
f. Apply given formulas to a problem-solving situation
Assessment limit:
• Use no more than four variables and up to three operations with rational numbers (-500 to 500)
g. Write equations and inequalities that describe real-world problems
C. Numeric and Graphic Representations of Relationships C. Numeric and Graphic Representations of Relationships C. Numeric and Graphic Representations of Relationships
1. Locate points on a number line and in a coordinate plane
1. Locate points on a number line and in a coordinate plane
1. Locate points on a number line and in a coordinate plane
a. Represent rational numbers on a number line
Assessment limit:
• Use integers (-20 to 20)
a. Represent rational numbers on a number line
Assessment limit:
• Use rational numbers (-100 to 100)
a. Graph linear equations in a coordinate plane
Assessment limit:
• Use two unknowns having integer coefficients (-9 to 9) and integer constants (-20 to 20)
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)
b. Graph ordered pairs in a coordinate plane
Assessment limit:
• Use no more than 4 ordered pairs of rational numbers (-20 to 20)

c. Graph linear data from a function table
c. Graph linear equations with one operation in a coordinate plane

2. Analyze linear relationships
2. Analyze linear relationships
2. Analyze linear relationships
a. Identify and describe the change represented in a graph
Assessment limit:
• Identify increase, decrease, or no change
a. Identify and describe the change represented in a table of values
Assessment limit:
• Identify increase, decrease, or no change
a. Determine the slope of a graph in a linear relationship
Assessment limit:
• Use an equation with integer coefficients (-9 to 9) and integer constants (-20 to 20) and a given graph of the relationship
b. Translate the graph of a linear relationship onto a table of values that illustrates the type of change
b. Describe the rate of change of a linear relationship by a table of values and a graph
b. Determine the slope of a linear relationship represented numerically or algebraically

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

MSDE has developed a toolkit for these standards which can be found online at: http://mdk12.org/instruction/curriculum/mathematics/vsc_toolkit.html.

June 2004