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First Semester

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Algebra I 

​Algebra I is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Pre-Algebra. Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, quadratic, and polynomial functions.

​Working together to provide the most comprehensive helps to our students, NFC Academy provides this Academic Library of videos which give to the student additional examples and instruction of daily concepts.

Go To 2nd Semester Algebra I
bible 600

Algebra I  First Semester

UNIT 1 – FOUNDATIONS OF ALGEBRA

  1. Why Algebra?
    1. ​Why Algebra?
  2. Variables and Expressions
    1. ​What is a variable?
    2. Why aren’t we using the multiplication sign?
    3. Example evaluating an expression.​
  3. Exponents and Order of Operations
    1. Introduction to exponents 
    2. Exponent Example 1 
    3. Exponent example 2 
    4. Exponent properties with products
  4. Evaluating Expressions
    1. ​What Is a Variable​
    2. Evaluating expressions where individual variable values are unknown 
  5. Quiz 1 – The Language of Algebra
  6. Classifying and Comparing Numbers
    1. Intro to rational and irrational numbers
    2. Classifying numbers: rational and irrational
    3. Classifying Numbers
    4. Inverse Property of Addition
    5. Number Line 
    6. Number Line 3
  7. Decimal-Fraction Conversions
    1. ​Converting Decimals to Fractions 1
    2. Converting Decimals to Fractions 
  8. Fractions
    1. ​Adding Decimals ​
    2. ​Subtracting Decimal
    3. Rounding Decimals
    4. ​​Adding-Subtracting Decimals 
  9. Adding and Subtracting Signed Numbers
    1. ​​Adding Negative Numbers 
  10. Multiplying and Dividing Signed Numbers
    1. ​​Multiplying Positive and Negative Number
  11. Absolute Value
    1. ​Absolute Value Equations ​
    2. ​Absolute Value Measuring Segment
  12. Quiz 2: The Real Numbers
  13. Commutative and Associative Properties
    1. Commutative Law of Addition  
    2. Associative Law of Addition 
    3. Properties of Multiplication  
    4. Associative Law of Multiplication 
    5. Commutative Law of Multiplication  
  14. Distributive Property
    1. ​​Distributive Property
    2. Solving Linear Equations
  15. Simplifying Expressions
    1. ​Combining Like Terms
    2. Combining Like Terms and the Distributive Property 
  16. Quiz 3: Properties of the Real Numbers
  17. Review
  18. Test 

UNIT 2 – LINEAR EQUATIONS

  1. Open Sentences
    1. Linear equations 1   
    2. Linear equations 2 
    3. Identity property of one 
    4. Identity property of zero  
    5. ​Power of Zero 
  2. Addition Property of Equality
    1. ​Why We Do the Same Things to Both Sides
    2. Adding and Subtracting the Same Thing from Both Sides 
    3. ​Linear Equations 2
  3. Multiplication Property of Equality
    1. ​​Linear Equations 4 
  4. Two-Step Equation
    1. ​​Solving Linear Equations 
    2. Old School Equations 
  5. Quiz 1: Solving Equations
  6. Variables on Both Sides
    1. Intro to equations with variables on both sides 
    2. Why we do the same thing to both sides – Variables on both sides: 
    3. Variables on both sides 
    4. ​​Example 2: Variables on both sides 
  7. ​Combining Like Terms
    1. Combining like terms ​
    2. ​Combining like terms
  8. The Distributive Property
    1. ​Solving equations with the distributive property 
    2. ​The distributive property 
  9. Literal Equations
    1. Solving Literal Equations for a Variable – Algebra 1
    2. ​​Algebra I & II: Solving Literal Equations
  10. Quiz 2: Multi-Step Equations
  11. Writing Equations from Word Problems
    1. ​​Beginning Algebra & Word Problem Steps
    2. ​Writing Equations from Word Problems
    3. Writing Equations from Word Problems 
  12. Two Unknowns
    1. ​Algebra I Help: Linear Equations in Two Variables Part I 
    2. ​Algebra I Help: Linear Equations in Two Variables Part II 
    3. Evaluating expressions with unknown variables 2  
  13. More than Two Unknowns
    1. ​How To Convert Word Problems Into An Equation​
  14. Using a Chart
    1. youtube.com/watch?v=GFjCb-vhdhM​​Algebra 1 Help: Motion Word Problems (Distance Formula) 
    2. ​Algebra 1 Help: Motion Word Problems (Distance Formula)
    3. ​Coin Word Problems – MathHelp.com – Algebra Help
  15. Quiz 3: Word Problems
  16. Percent Problems
    1. ​​Fraction to decimal 
    2. ​Decimal to simplified fraction 
    3. ​Percent word problems
  17. Mixture and Interest Problems
    1. ​Mixture​
    2. Mixture 
    3. ​Interest
  18. Quiz 4: Mixture and Investment Problems​
  19. Review
  20. Test
UNIT 3 – FUNCTIONS

  1. The Coordinate Plane
    1. ​The Coordinate Plane 
    2. Quadrants 
    3. ​Points on the Coordinate Plane 
    4. Plot Ordered Pairs 
    5. ​Ordered Pair Solution of Equations 
  2. Identifying Functions
    1. Relations and functions
    2. ​Recognizing functions from a graph 
  3. Function Notation
    1. Function Notation 
  4. Modeling Functions
    1. Dependent and independent variables 
    2. Dependent and independent variables graphing 
  5. Quiz 1: Function Basics
  6. Writing a Function Rule
    1. ​Writing a Function Rule – What Is A Function 
  7. Arithmetic Sequences
    1. ​​Arithmetic Sequences 
    2. Finding the nth term 
  8. Direct Variation
    1. ​​Direct and Inverse Variation 
  9. Slope
    1. ​Slope​
  10. Quiz 2: Patterns
  11. ​Linear Equations
    1. ​Linear Equations – Graphs of Linear Equations 
  12. Slope-Intercept Form
    1. ​Slope-Intercept Form
  13. Absolute Value Functions
    1. Graphing Absolute Value Functions ​
  14. Piecewise Defined Functions
    1. ​Introduction to piecewise functions
    2. Worked example: evaluating piecewise functions 
  15. Graphs of Piecewise Functions
    1. ​​Worked example: graphing piecewise functions 
  16. Function Relationships
  17. Quiz 3: Graphing Linear Functions
  18. Writing Linear Equations (1)
    1. ​Constructing Equations in the Slope-Intercept Form from Graphs 
    2. ​Linear Equation from Slope and a Point 
    3. ​Finding  a Linear Equation Give a Point and Slope
    4. ​Finding y Intercept Given Slope and Point 
  19. Writing Linear Equations (2)
  20. Writing Linear Equations (3)
  21. Inverse Function
    1. ​Intro to inverse functions 
    2. Inputs and outputs of inverse functions 
  22. Scatter Plots
    1. ​​Scatter Plots: Causation and Correlation 
    2. Learn Scatter Plots and Best Fitting Lines
    3. The Correlation Coefficient Explained in Three Steps
  23. Quiz 4: Writing Linear Equations
  24. Review
  25. Test

UNIT 4 – INEQUALITIES 

  1. Graphing
    1. ​Basic Set Operation – Intersection and Union of Sets
  2. Addition Property of Inequality
    1. ​Inequalities using addition and subtraction 
  3. Multiplication Property of Inequality
    1. ​​Multiplying and dividing with inequalities 
  4. Multi-Step Inequalities
    1. ​Multi-step inequalities 
    2. ​Multi-step inequalities 2 
    3. ​Multi-step inequalities 3  
  5. Problem Solving
    1. ​Constructing and solving a two-step inequality 
    2. ​Constructing and solving a multi-step inequality example
  6. Quiz 1: Solving Inequalities
  7. Compound Inequality Graphs
    1. Intersection and union of sets ​
  8. Solving Compound Inequalities
    1. ​Intersection and union of sets
  9. Inequalities with Two Variables
    1. ​​Graphing inequalities 2
    2. Graphing linear inequalities in two variables example 2 
    3. Graphing linear inequalities in two variables 3 
  10. Quiz 2: Compound Inequalities
  11. Absolute Value Solution Sets​
    1. Absolute Value Inequalities 
    2. ​Absolute Value Inequalities Example 1 
    3. Absolute Value Inequalities Example 2 
    4. Absolute Value Inequalities Example 3 
  12. Absolute Value Inequalities with One Variable
    1. ​Absolute Value Inequalities 
    2. ​Absolute Value Inequalities Example 1 
    3. Absolute Value Inequalities Example 2 
  13. Absolute Value Inequalities with Two Variables
    1. ​Multi-step equation ​
    2. Graphing Linear Equations with Two Variables 
  14. Quiz 3: Absolute Value
  15. Review
  16. Test
  17. Alternate Test

UNIT 5 LINEAR SYSTEMS

  1. Solution of a System
    1. ​​Consistent and Inconsistent Systems 
    2. ​Inconsistent Systems of Equations 
    3. Independent and Dependent Systems 
  2. Graphing Systems of Equations
    1. ​​Solving linear systems by graphing 
    2. Graphing systems of equations 
    3. ​Number of solutions to a system of equations graphically 
  3. Systems of Inequalities
    1. ​​Graphing Systems of Inequalities 
    2. ​Graphing Systems of Inequalities 2 
  4. Applications of Inequalities
    1. Graphing Systems of Inequalities
  5. Quiz 1: Solving Linear Systems by Graphing
  6. Substitution Method
    1. ​The Substitution Method
    2. Substitution Method 2 
    3. Substitution Method 3 
  7. Addition Method
    1. ​Solving systems of equations by elimination  
  8. Matrices
    1. Introduction to Matrices ​
  9. Fractional Coefficients
    1. Adding Fractions with Unlike Denominators​
    2. Expression, Terms and Coefficients 
    3. Solving Linear Equations by Substitution 
    4. ​Solving Linear Equations by Elimination 
    5. Solving Linear Equations by Multiplication 
  10. Quiz 2: Solving Linear Systems Algebraically
  11. Using Two Variables
    1. Linear Equation Word Problems
    2. Linear Equation Word Problems
  12. Money and Unit Pricing
    1. Using the System of Equation to Find the Price of Apples and Oranges ​
  13. Using Formulas
  14. Quiz 3: Representing Problems Using a Linear System 
  15. Review
  16. Test
  17. Alternate Test

UNIT 6: SEMESTER REVIEW AND EXAM

  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B