COURSE OVERVIEW

 (Grade 6-8) 

Algebra 1 aims to improve math proficiency and problem solving skills to prepare students for higher mathematics such as Geometry and Algebra 2. Topics include:  

  • Algebraic foundations 
  • Variables and Expressions 
  • Ratios and percentages 
  • Functions and graphing 
  • Linear equations and inequalities 
  • Quadratic equations and factorization 

Contents 

Section 0: Introduction 

  1. Intro: people intro, course run through, algebra foundation review 
  1. Review arithmetic operations 
  1. Exponents rules 

Section 1: Variables and Expressions 

  1. Variables 
  1. Distribution 
  1. Factorization 
  1. Expressions: Fractions, exponents, radicals 
  1. Fractions review 
  1. Rational and Irrational numbers 
  1. Square root and radicals 

Section 2: Linear Equations 

  1. Linear equations 
  1. Intro and solving linear equations 
  1. Word problems 
  1. Word problems involving linear equations 
  1. Multivariable linear equations 
  1. Multiple variables 
  1. Systems of equations 

Section 3: Ratios and Proportions 

  1. Ratios and percentages 
  1. Ratios, fractions, and percentages review 
  1. Operations with ratios  
  1. Proportions and unit conversion 
  1. Direct and inverse proportions 
  1. Changing units 

Section 4: Functions, Graphing, and Inequalities 

  1. Functions 
  1. Intro to functions 
  1. Domain and range 
  1. Graphing and forms of linear equations 
  1. Intro to the cartesian plane 
  1. Graphing linear equations 
  1. Slope, intercepts 
  1. Slope intercept form 
  1. Inequalities 
  1. Basics and interval notation 
  1. Graphing 
  1. Advanced functions 
  1. Exponential functions 
  1. Absolute value functions 
  1. Piecewise functions 

Section 5: Quadratic Equations 

  1.  Intro to Quadratic equations 
  1. Form 
  1. Distributing 
  1. Factorization 
  1.  Factorizations 
  1. Practice for factorization 
  1. Special factorizations 
  1.  Advanced Quadratic equations  
  1. Vieta’s formulas 
  1. Quadratic formula 
  1. Graphing Quadratic equations 
  1. Vertex 
  1. x-intercept 

Syllabus:https://school.thinkland.ai/syllabus/ 

Curriculum:https://school.thinkland.ai/curriculum.pdf