Algebraic Concepts

The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

Data Interpretation

The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. The Data Interpretation Unit includes data collection and classification, organization and display of data, logical reasoning and problem solving.

Decimals

The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. The Decimals Unit includes comparison, computing, money, estimation, problem solving and reasoning.

Fractions

The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. The Fractions Unit includes comparison, ordering, fractions parts, estimation, reasoning and problem solving.

Functions

The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

Geometry

The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. The Geometry Unit includes properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

Integers

The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. This unit includes comparing integers, performing operations with integers, converting integers to other number forms, using manipulatives to demonstrate integers, and solving problems with integers in real-world contexts.

Mathematics Processes

The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures.

Measurement

The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. The Measurement Unit includes concepts of length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns and problem solving.

Number Theory

The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.

Numeration

The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

Percents

The Percent Unit focuses on the concept of percent. This unit includes performing operations with percents, converting percents to other number forms, using manipulatives to demonstrate percents, and solving problems with percents in real-world contexts.

Probability/Statistics

The Probability/Statistics Unit focuses on data analysis and probability concepts. This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.).

Problem Solving

The Problem Solving Unit focuses on the problem solving effort. This unit includes analyzing problems, evaluating solutions, problem exploration, and strategies.

Rational and Irrational Numbers

The Rational and Irrational Numbers Unit includes manipulating, comparing, and performing operations with rational numbers.

Real Numbers and the Coordinate Plane

The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences.

Technology

The Technology Unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving.

Trigonometry

The Trigonometry Unit includes studying triangles, trigonometric ratios, and triangle measurements, applying triangle properties, and solving right triangle problems.

Whole Numbers

The Whole Numbers Unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts.