Integrated math 1

Solving Equations and Inequalities

Key Concepts:
- Understanding variables, constants, and coefficients
- Techniques for solving linear equations
- Solving and graphing inequalities on a number line

Characteristics of Functions

Key Concepts:
- Definition and notation of functions
- Identifying domain and range
- Function notation and evaluation

Linear Functions

Key Concepts:
- Understanding slope and y-intercept
- Graphing linear functions
- Writing equations of lines in slope-intercept and point-slope forms

Solving Systems of Equations and Inequalities

Key Concepts:
- Graphical and algebraic methods (substitution and elimination)
- Interpreting solutions of systems
- Solving systems of inequalities and graphing their solution sets

Exponential and Radical Functions

Key Concepts:
- Exploring properties of exponential functions
- Graphing exponential functions and understanding growth/decay
- Introduction to radical functions and their characteristics

Data Analysis

Key Concepts:
- Collecting and organizing data
- Understanding measures of central tendency (mean, median, mode)
- Introduction to probability and basic statistical concepts

Tools of Geometry

Key Concepts:
- Fundamental geometric terms (points, lines, angles)
- Constructing and measuring angles and segments
- Introduction to geometric figures and their properties

Transformations

Key Concepts:
- Types of transformations (translations, rotations, reflections)
- Understanding the effects of transformations on figures
- Composition of transformations

Connecting Algebra and Geometry

Key Concepts:
- Exploring the relationship between algebraic and geometric concepts
- Using algebra to solve geometric problems
- Applications of functions in geometric contexts

Reasoning and Proof

Key Concepts:
- Introduction to logical reasoning in mathematics
- Understanding and constructing mathematical proofs
- Validating conjectures using inductive and deductive reasoning

Congruent Triangles

Key Concepts:
- Criteria for triangle congruence (SSS, SAS, ASA, AAS)
- Applications of congruence in problem-solving
- Exploring properties of congruent triangles

Proving Theorems

Key Concepts:
- Theorems about lines and angles (e.g., vertical angles, supplementary angles)
- Theorems related to triangles (e.g., angles in a triangle sum to 180°)
- Proving properties of quadrilaterals and other polygons

Course Goals

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