## Course title

Mat1## Pre-requisite

N/A## 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

## School country

United States## School state

Arizona## School city

Tucson## High school

Calvary Chapel High School## School / district Address

8725 E Speedway Blvd## School zip code

85710## Requested competency code

Math## Date submitted

## Approved

Yes## Approved competency code

- MTH1
- 4 years of Math