Geneva CUSD 304 - Content-Area Curriculum Frameworks Grades 6-12 - Mathematics - AP Statistics

Sep 28, 2026

A district curriculum framework for Geneva CUSD 304 covering mathematics from grades 6–12, with emphasis on using math to solve real-world problems across science, business, engineering, economics, and data-driven fields. The document specifies students’ learning goals in theoretical foundations, problem solving, and mathematical mechanics, including reasoning methods, axiomatic structure, core concepts, and technology-enhanced computation. It then details a course framework for AP Statistics (grades 11–12), including course description themes, required resources, and unit objectives aligned to major statistical process standards.

LanguageEnglish

CategoryExam

FormatPDF

Pages12

Reading Time30 min

AccessFree to download

Mission Statement

Theoretical structure of mathematics

Problem solving

Mechanics of mathematics

Appropriate use of emerging technology

Course Sequence (Grades 6-12)

Course Framework: AP Statistics

Course Description

Unit Frameworks: Exploring Data

Objectives

Geneva CUSD 304 Content-Area Curriculum Frameworks Grades 6-12 Mathematics | Mission Statement | The study of mathematics can be an exciting and interesting challenge. Yet, the major reason to become proficient in this discipline revolves around the use of mathematics as a tool to solve problems from the areas of science, business, engineering, economics, and all other areas which involve data collection and analysis. The mathematics program is designed to establish connections between the key concepts of math and the applications.
Theoretical structure of mathematics-Students will demonstrate an understanding of the theoretical foundations of mathematics.
• Thought processes (intuition, deduction, induction)
• Logical arguments (two column, narrative, flow chart proofs)
• Structure of axiomatic systems (Euclidian geometry, real and complex number systems)
• Fundamental concepts (functions, sets, limits, infinity, infinitesimals, statistics, probability)
Problem solving-Students will formulate problem solving strategies.
• Establishment of relationships (numerical, geometric, pictorial, graphic, symbolic)
• Recognition, collection, and analysis of pertinent data
• Development and evaluation of methods and algorithms
• Validation of results (estimation, approximation, reasonableness)
Mechanics of mathematics-Students will symbolically manipulate mathematical expressions and statements.
• Performance of operations and computational processes (arithmetic, algebraic, graphic)
• Illustration of solution processes for equations and inequalities
• Calculation using electronic devices (scientific and graphing)
Appropriate use of emerging technology-Students will use technology to improve and extend their understanding of | | --- | --- | | | mathematics.
• Calculators at appropriate levels (scientific and graphing)
• Computer software (graphic, spread sheets, data bases, symbolic manipulators, simulations)
• Information management systems (compact disk, telecommunication, internet, video disk)
All students will experience an evolving curriculum designed to bea rich tapestry of traditional mathematics skills intertwined with problem solving, graphical analysis, measurement, probability, and statistics. The use of manipulatives, calculators (scientific and graphing), computers, writing assignments, and cooperative learning activities will all be designed to achieve this mission. | | --- | --- | | Course Sequence
(Grades 6-12) | • 6th Grade Mathematics
• 7th Grade Mathematics
• Pre-Algebra
• Integrated Mathematics I, II
• Algebra I (4 semesters) A and B
• Algebra I
• Geometry /Concepts and Applications
• Geometry (Regular & Honors)
• Algebra II (Regular & Honors)
• Algebra II 1/3-3/3
• Pre-Calculus (Regular & Honors)
• Trigonometry (Regular & Honors)
• Calculus
• AP Calculus
• AP Statistics | Course Framework | Course Title
Grade Level Semesters
Prerequisite | AP Statistics 11, 12
2
Algebra II | | --- | --- | | Course Description | This course introduces students to the major conceptsand tools for collecting, analyzing, and drawing conclusions from data and may be taken in conjunction with Pre-Calculus/Trigonometry. The four broad conceptual themes are: exploring data by describing patterns and departures from patterns: sampling and experimentation through planning and conducting a study: anticipating patterns by exploring random phenomena using probability and simulation techniques:
and statistical inferences bases upon estimated parameters and hypothesis testing. The course follows the Advanced Placement Statistics curriculum as established by the College Board. Students taking this course are expected to take the AP exam. | | District-approved Materials and/or Resources | Primary Textbook: Daniel S.Yates, David S. Moore, Daren S. Starnes. The Practice of Statistics: Third Edition, TI 83/84/89 Graphing Calcu

FAQs

What is the overall mission of the mathematics program in this framework?

It frames mathematics as an engaging discipline and a practical tool for solving problems across many fields that involve data collection and analysis, linking key math concepts to real applications.

What major skill areas do students develop in the curriculum?

Students build theoretical understanding, problem-solving strategies, and the ability to manipulate mathematical expressions, supported by appropriate use of calculators, software, and information management systems.

What are the four broad conceptual themes for the AP Statistics course?

Exploring data, sampling and experimentation, anticipating patterns using probability and simulations, and statistical inference using estimated parameters and hypothesis testing.

Sep 28, 2026

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