Algebra 1

NUMBER SENSE, PROPERTIES, AND OPERATIONS

PATTERNS, ALGEBRA, AND FUNCTIONS

DATA ANALYSIS, STATISTICS, AND PROBABILITY

Students investigate numbers, ways of representing numbers, relationships among numbers, and number systems.

Students perform mathematical operations and determine how they relate to one another.

Students investigate patterns, functions, and quantitative relationships, and apply that knowledge to modeling, analyzing, or solving mathematical and real-word problems.

Students use symbolic forms, operations, and properties to represent, model, solve, and analyze mathematical situations and structures.

Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.

Students use concepts of chance and probability to explain outcomes of real-life situations.

Classify and compare real numbers

Use the order of operations on real numbers

Use ratios and proportions to solve problems

Identify numerical patterns and quantitative relationships

Represent and relate relations to functions

Explore structure of algebraic expressions and functions

Write and graph linear and nonlinear functions

Analyze linear equations and relationships

Represent and solve linear inequalities and exponential equations graphically

Relate variables and expressions

Identify and use a suitable method for factorization

Perform arithmetic operations with polynomials and with rational and radical expressions

Simplify and evaluate algebraic expressions

Identify and use linear equation properties to construct equation and sketch graph

Write, create, and solve equations that describe situations involving numbers or relationships

Solve systems of linear equations

Solve linear inequalities

Solve quadratic equations in one variable

Relate survey and sampling methods to population

Represent and solve probability problems

Use rules of probability to compute probabilities