Standard 3 : Algebra (Mathematics)

You are here: Home Tennessee Mathematics Standards Mathematics Algebra

Conceptual Strand

The Algebra Standard emphasizes relationships among quantities, including functions, patterns, ways of representing mathematical relationships, and the analysis of change.

Guiding Question

How does algebra encompass the relationships among quantities, the use of symbols, the modeling of phenomena, and the mathematical study of change?

Patterns, Relations and Functions

Structures & Symbolic Notation

Mathematical Models

View All

Grade K

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

Algebra I

Geometry

Algebra II

GLE 0006.3.1

Identify, duplicate, and extend simple number patterns and sequential and growing patterns.

GLE 0006.3.2

Recognize attributes (such as color, shape, size) and patterns (such as repeated pairs, bilateral symmetry).

GLE 0006.3.3

Describe qualitative change.

GLE 0106.3.1

Identify, describe, and extend simple number patterns to develop strategies for adding and subtracting whole numbers.

GLE 0106.3.2

Understand that addition and subtraction are inverse operations.

GLE 0106.3.3

Extend the strategies for basic facts to include other properties of number and operations.

GLE 0206.3.1

Develop pattern recognition.

GLE 0206.3.2

Extend knowledge of the properties of numbers and operations to multiplication.

GLE 0206.3.3

Solve simple arithmetic problems using various methods.

GLE 0206.3.4

Describe quantitative change.

GLE 0306.3.1

Develop meaning for and apply the commutative, associative, and distributive properties using various representations.

GLE 0306.3.2

Develop understanding that a letter or a symbol can represent an unknown quantity in a simple mathematical expression/equation.

GLE 0306.3.3

Describe and analyze patterns and relationships in contexts.

GLE 0306.3.4

Create and represent patterns using words, tables, graphs, and symbols.

GLE 0406.3.1

Extend understanding of a variable to equations involving whole numbers, fractions, decimals, and/or mixed numbers.

GLE 0406.3.2

Use mathematical language and modeling to develop descriptions, rules and extensions of patterns.

GLE 0406.3.3

Translate between different forms of representations of whole number relationships.

GLE 0506.3.1

Understand and use order of operations.

GLE 0506.3.2

Develop and apply the concept of variable.

GLE 0506.3.3

Understand and apply the substitution property.

GLE 0506.3.4

Solve single-step linear equations and inequalities.

GLE 0606.3.1

Write and solve two-step equations and inequalities.

GLE 0606.3.2

Interpret and represent algebraic relationships with variables in expressions, simple equations and inequalities.

GLE 0606.3.3

Extend order of operations to include grouping symbols and exponents.

GLE 0606.3.4

Use expressions, equations and formulas to solve problems.

GLE 0606.3.5

Use multiple representations including symbolic algebra to model and/or solve contextual problems that involve linear relationships.

GLE 0606.3.6

Understand and use the Cartesian coordinate system.

GLE 0706.3.1

Recognize and generate equivalent forms for simple algebraic expressions.

GLE 0706.3.2

Understand and compare various representations of relations and functions.

GLE 0706.3.3

Understand the concept of function as a rule that assigns to a given input one and only one number (the output).

GLE 0706.3.4

Use function notation where f(x) represents the output that the function f assigns to the input x.

GLE 0706.3.5

Understand and graph proportional relationships.

GLE 0706.3.6

Conceptualize the meanings of slope using various interpretations, representations, and contexts.

GLE 0706.3.7

Use mathematical models involving linear equations to analyze real-world phenomena.

GLE 0706.3.8

Use a variety of strategies to efficiently solve linear equations and inequalities.

GLE 0806.3.1

Recognize and generate equivalent forms for algebraic expressions.

GLE 0806.3.2

Represent, analyze, and solve problems involving linear equations and inequalities in one and two variables.

GLE 0806.3.3

Solve systems of linear equations in two variables.

GLE 0806.3.4

Translate among verbal, tabular, graphical and algebraic representations of linear functions.

GLE 0806.3.5

Use slope to analyze situations and solve problems.

GLE 0806.3.6

Compare and contrast linear and nonlinear functions.

CLE 3102.3.1

Use algebraic thinking to analyze and generalize patterns.

CLE 3102.3.2

Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials.

CLE 3102.3.3

Understand and apply operations with rational expressions and equations.

CLE 3102.3.4

Solve problems involving linear equations and linear inequalities.

CLE 3102.3.5

Manipulate formulas and solve literal equations.

CLE 3102.3.6

Understand and use relations and functions in various representations to solve contextual problems.

CLE 3102.3.7

Construct and solve systems of linear equations and inequalities in two variables by various methods.

CLE 3102.3.8

Solve and understand solutions of quadratic equations with real roots.

CLE 3102.3.9

Understand and use exponential functions to solve contextual problems.

CLE 3108.3.1

Use analytic geometry tools to explore geometric problems involving parallel and perpendicular lines, circles, and special points of polygons.

CLE 3108.3.2

Explore the effect of transformations on geometric figures and shapes in the coordinate plane.

CLE 3103.3.1

Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.

CLE 3103.3.2

Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations.

CLE 3103.3.3

Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.

CLE 3103.3.4

Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph.

CLE 3103.3.5

Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.