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Algebra 1 for Mathematicians: Functional Algebra 1 Math Course (Self-Paced)
Kristen LeGeyt M.Ed. Secondary Mathematics
Star Educator
Average rating:5.0Number of reviews:(213)
Functional Algebra 1 for Mathematicians will cover core material for understanding Algebra 1 from a functional perspective. Topics covered include Constant, Linear, Piecewise, Exponential, and Quadratic Functions. Prerequisite: Pre-Algebra
Class experience
US Grade 6 - 9
Functional Algebra 1 for Mathematicians will provide a complete Algebra 1 curriculum covering 32 topics and can be completed in a 4 month (16 week) single semester by completing 2 topics each week. A pacing guide will be provided for planning purposes. The end date of this course will be extended 1 year from the start date so students will have plenty of time to complete the course and/or review material as needed. Sections will be offered at the beginning of every month, so families can...
4 units//32 lessons//16 Weeks
Unit 1Linear FunctionsLinear Functions12 lessons6 WeeksWeek 1Lesson 1Linear TransformationsThis lesson will introduce students to linear functions and transformations.Lesson 2Linear Equations and Important FormulasThis lesson will teach students to use the different forms of linear equations and practice writing equations of lines.Week 2Lesson 3Graphing Linear FunctionsThis lesson will help students practice graphing linear functions, reading linear equations, and linear transformations.Lesson 4Algebraic Modeling with Linear FunctionsThis lesson will introduce algebraic modeling and introduce students to linear applications.Week 3Lesson 5Graphing Linear SystemsThis lesson will introduce linear systems by graphing multiple lines on a single coordinate plane and will reinforce linear skills with more practice writing linear equations.Lesson 6Graphing Solutions to Linear SystemsThis lesson will focus on what solutions to linear systems look like as well as finding solutions by graphing systems and then classifying the system of linear equations.Week 4Lesson 7Solving Systems of Linear Equations AlgebraicallyThis lesson will teach students how to solve linear systems of equations in 2 variables using the substitution and addition (elimination) methods. This lesson will also continue to reinforce graphing and classifying systems of linear equations.Lesson 8Applications of Linear SystemsThis lesson will introduce students to the different types of applications of linear systems and allow opportunities to practice linear systems skills and solve word problems.Week 5Lesson 9Linear InequalitiesThis lesson will teach students to solve and graph linear inequalities.Lesson 10Graphing Systems of Linear InequalitiesThis lesson will teach students to graph solutions to systems of linear inequalities.Week 6Lesson 11Linear Programming Graphing FeasibilityThis lesson will introduce linear programming and use graphing systems of inequalities to create feasible regions.Lesson 12Linear Programming Using InequalitiesThis lesson will teach students how to use linear programming (using systems of inequalities) in application problems to maximize profits.Unit 2Understanding FunctionsUnderstanding Functions4 lessons2 WeeksWeek 7Lesson 13Graphing StoriesThis lesson will show students a variety of graphs from real world applications.Lesson 14Functions NotationThis lesson will formally introduce function notation and its uses.Week 8Lesson 15Function OperationsThis lesson will teach the main operations that can be used when working with functions.Lesson 16Composition of FunctionsThis lesson will teach student how to compose 2 functions into 1 new function that does both of the original functions at once.Unit 3Absolute Value and Exponential FunctionsAbsolute Value and Exponential Functions8 lessons4 WeeksWeek 9Lesson 17Absolute Value TransformationsThis lesson will introduce students to absolute value functions and transformations.Lesson 18Solving Absolute Value EquationsThis lesson will teach students how to solve absolute value equations.Week 10Lesson 19Graphing Absolute Value Functions and TransformationsThis lesson will help students practice graphing absolute value functions, reading absolute value equations, and absolute value transformations.Lesson 20Exponential vs. Linear ModelingThis lesson will return to algebraic modeling with different functions.Week 11Lesson 21Exponential ModelingThis lesson will investigate exponential modeling.Lesson 22Exponential ModelingThis lesson will continue to investigate exponential modeling.Week 12Lesson 23Exponential ModelingThis lesson will continue to investigate exponential modeling.Lesson 24Exponential Growth and DecayThis lesson will teach students to use exponential growth and decay formulas using applications.Unit 4Quadratics FunctionsQuadratics Functions8 lessons4 WeeksWeek 13Lesson 25Graphing Quadratic FunctionsThis lesson will introduce students to quadratic functions and transformations.Lesson 26Transformations with QuadraticsThis lesson will help students practice graphing quadratic functions, reading quadratic equations, and quadratic transformations.Week 14Lesson 27The Distributive PropertyThis lesson will teach students how to apply the distributive property to binomials and beyond.Lesson 28Introduction to FactoringThis lesson will teach students all of the methods used to factor in Algebra 1.Week 15Lesson 29Factoring PracticeThis lesson will provide practice for both identifying factoring types and getting the factored form.Lesson 30Solving QuadraticsThis lesson will teach students how to solve quadratics using factoring and the zero product property, using the square root method, using completing the square, and using the quadratic formula.Week 16Lesson 31Graphing Quadratics from Standard FormThis lesson will teach students to graph quadratic equations from the standard form.Lesson 32Applied QuadraticsThis lesson explore some different types of quadratic applications for the Algebra 1 level.
Students will be able to understand the properties of Algebra 1 functions including linear, piecewise, absolute value, exponential, and quadratic. Students will be able to simplify expressions, solve equations, write algebraic models, and factor polynomials.
Homework Offered
A pacing guide will be provided as well as a syllabus outlining how each student and family can determine the best homework load for their situation. Each session there will be instructional content for note taking, a practice set of problems, and a solutions guide to check their own work, that should all be completed for each topic. Labs and online participation components are considered part of class time but will also need to be completed each week. Optional enrichment activities and additional practice will also be available.2 - 4 hours per week outside of class
Assessments Offered
Assessments will be provided and can be formally graded or self-corrected. All students will receive a topical transcript at the end of the course. Students needing formal grades should submit assessments for grading throughout the class and a graded transcript can be provided.Grades Offered
It is recommended that students have access to a graphing calculator like the Texas Instruments TI-84 plus beginning with Algebra classes. Students will receive handouts and assignments throughout the course. Labs and optional enrichment activities may require miscellaneous household items on occasion.
Desmos.com an online graphing calculator utility and is a third party tool that does not require an account to use, but students may create a free account if they choose. Students will use desmos.com throughout the course in addition to their personal graphing calculator. YouTube.com will provide supplemental videos for students to experience math through seeing and is a third party tool that does not require an account to use, but students may create a free account if they choose.
Star Educator
Average rating:5.0Number of reviews:(213)
I teach a variety of secondary mathematics classes on OutSchool for students from 7th to 12th grade. Traditional core academic content courses I offer are Pre-Algebra, Algebra I, Geometry, Algebra II, and Pre-Calculus. I also offer...
Self-Paced Class
$25
weekly or $400 for all content32 pre-recorded lessons
16 weeks of teacher feedback
Choose your start date
1 year of access to the content
Completed by 2 learners
Ages: 11-15
