Course title

Pre-requisite

Course description

This Algebra 1 course is a standards based mathematics course that will continually reinforce concepts learned throughout the course of the year. Algebraic foundations and the building of math vocabulary will be given at the start. Students will be exposed to understanding and applying numbers; learn to represent numbers; and explore the relationship of numbers and number systems. Using lectures; real-life investigations; and consistent cumulative tests; students will explore algebraic topics such as radical expressions; system of inequalities; the quadratic equation; probability; data analysis; polynomials; and functions. Geometric topics include describing spatial relationships using coordinate geometry and other representational systems. Structure and logic focuses on algorithms and algorithmic thinking and the concept of using reasoning to solve mathematical problems in real-life situations.

Unit 1: Algebraic Foundations
Classifying Real Numbers
Order of Operations
Evaluating and Comparing Algebraic Expressions
Using Real numbers
Calculating and Comparing Square Root
Translating between words and algebraic expressions
Using Scientific Notation
Exponents
Investigations: Using Deductive and Inductive Reasoning; Using Logical Reasoning

Unit 2: Functions and Relations
Graphing on a coordinate plain
Graphing Functions
Arithmetic Sequences
Geometric Sequences
Identifying and Graphing exponential functions
Cubic functions
Solving simple and compound interest problems
Graphing linear; quadratic; and exponential functions
Investigations: Graphing a Relationship; investigating Exponential Growth and Decay
Lab: Graphing Calculators: Creating a Table

Unit 3: Equations
Combining like terms
Solving one; two; and multiple step equations
Writing and solving proportions
Solving literal equations
Percent problems
Using Trigonometric Ratios

Unit 4: Linear Equations and Functions\
Locating and Using Intercepts
Finding Rates of change and slope
Slope Formula
Writing equations in slop-intercept form
Direct Variations
Inverse Variations
Parallel and perpendicular lines
Investigation: Transforming Linear Functions; Comparing Direct and Inverse Variations; Identifying and Writing Joint Variations.
Labs: Graphing Calculator: Graphing linear Functions

Unit 5: Polynomials
Using the GFC
Adding; Subtracting; Multiplying; Dividing polynomials
Factoring trinomials
Grouping
Investigations: Choosing a factoring method

Unit 6: Rational Expressions and Functions
Distributive property to simplify
Least common multiple
Multiplying; dividing; adding; subtracting rational expressions
Complex fractions

Unit 7: Inequalities
Translating between words and inequalities
Graphing
Compound inequalities

Unit 8: System of Equations and Inequalities
Solving systems by graphing; substitution; and elimination
Graphing Linear inequalities
Investigation: investigating Matrices
Labs: Calculating the intersection of two lines; graphing linear inequalities; matrix operations

Unit 9: Radical Expressions and Functions
Adding; subtracting; multiplying; dividing; solving radical Expressions
Graphing square root functions
Lab: Graphing radical functions

Unit 10: Quadratic Equations and Functions
Pythagorean Theorem
Calculating mid-point and length of a segment
Quadratic functions
Solving by factoring
Solving by graphing
Solving by using the square root
Solving by completing the square
Investigation: Transforming Quadratic Functions

Unit 11: Absolute Value Equations and Inequalities
Solving absolute value equations
Graphing

Unit 12: Probability and Data Analysis
Theoretical probability of an event
Statistical graphs
Misleading representation of graphs
Independent and dependent events
Central tendency
Box-and-Whisker plot
Stem-and-leaf plots
Mutually inclusive and exclusive events
Frequency distribution
Permutations
Investigations: Determining Probability of an Event; Analyzing the effects of bias in sampling; surveys; and bar graphs.
Labs: Generating Random Numbers; Box and Whisker Plots; Finding the Line of Best Fit

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Requested competency code

Date submitted

Approved

Approved competency code

• MTH1
• 4 years of Math

Approved date

Online / Virtual