INTEGRATED MATH 1, PART 1
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 231-1
Integrated Math 1, Part 1 is the first semester of Integrated Math 1 and develops foundational algebraic and geometric reasoning skills. The course includes expressions and operations; equations and inequalities; measurements and proof; relations and functions; and linear equations and inequalities. Students simplify and evaluate expressions, solve equations and inequalities, use measurement, constructions, logic, and proof to analyze geometric relationships, and apply function concepts to linear equations, inequalities, variation, piecewise functions, absolute value functions, and inverse functions. Integrated Math 1 is approved by the University of California A-G as mathematics (category C).
Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course at an accelerated rate.
Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course in an accelerated rate.
LEARNING OBJECTIVES
In this module, students gain a comprehension of the following:
- Algebraic foundations, including real numbers, expressions, and properties of operations.
- How to simplify and evaluate algebraic expressions.
- How to solve equations, proportions, literal equations, and absolute value equations.
- How to write, solve, and graph linear, compound, and absolute value inequalities.
- Fundamental geometric concepts involving points, lines, segments, angles, constructions, measurement, and notation.
- How inductive and deductive reasoning, conditional statements, and logical arguments are used in algebraic and geometric proofs.
- Functions, including identifying, evaluating, writing, graphing, and analyzing their key features.
- How transformations affect the graphs of parent functions.
- How to represent and analyze linear relationships using slope-intercept, point-slope, and standard forms.
- How to model relationships using direct and inverse variation, piecewise functions, absolute value functions, and inverse functions.
TOPICS COVERED
This course covers the following topics:
- Properties of Real Numbers
- Order of Operations
- Simplifying Expressions
- Evaluating Algebraic Expressions
- Distributive Property
- Descriptive Modeling and Accuracy
- Solving One- and Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on Each Side
- Solving Proportions
- Literal Equations
- Solving Absolute Value Equations
- Graphing and Writing Inequalities
- Solving Inequalities
- Solving Absolute Value Inequalities
- Basic Geometry Vocabulary
- Measuring Segments
- Measuring Angles
- Angle Pairs and Relationships
- Constructions
- Conditional Statements
- Inductive and Deductive Reasoning
- Algebraic Proofs
- Segment and Angle Proofs
- Identifying Functions
- Evaluating Functions
- Writing Function Rules
- Graphing Functions
- Step Functions
- Features of Functions
- Transformations of Functions
- Rate of Change and Slope
- Slope-Intercept Form
- Point-Slope Form and Standard Form
- Direct and Inverse Variation
- Linear Word Problems
- Graphing Linear Inequalities
- Piecewise Functions
- Absolute Value Functions
- Inverse of a Linear Function
