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INTEGRATED MATH ACADEMIC LIBRARY 

Second Semester

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  • Integrated Math Academic Library (2nd Semester)

Integrated Math Online 

Integrated Math I is a mathematics course for high school students who have successfully completed either general mathematics for grade 8 or pre-algebra. This course is the first in a four-part, integrated high school mathematics curriculum. The materials in this course integrate the topics of algebra, geometry, probability, and statistics.

Throughout the course, students will practice algebraic thinking and use algebra to model and solve real world problems. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

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Integrated Math Second Semester

UNIT 6:LINEAR EQUATIONS​
  1. ​Writing Equations from Word Problems
    1. Translating words into algebraic expressions
    2. Beginning Algebra & Word Problem Steps
    3. Writing Equations from Word Problems
  2. Combining Like Terms
    1. Combining like terms explained 
    2. Combining like terms 
    3. Combining like terms example 2  
  3. The Distributive Property
    1. Distributive property explained  
    2. Distributive property explained  
  4. Literal Equations
    1. Solving Literal Equations
    2. Solving Literal Equations Part 1
    3. Solving Literal Equations Part 2
    4. Literal Equations
  5. Quiz 1: Multi-Step Equations
  6. Two Unknowns
    1. Easy system to solve word problems.wmv  (This video uses a different acronym – BUCK for the steps which is different than VEST in the lesson.  Whichever is best for you is fine to use) 
    2. Problem Solving with Equations ​
  7. More than Two Unknowns
    1. Solving two step word problems, including those with unknown quantities
    2. Solving two step word problems, including those with unknown quantities 
    3. Consecutive Even Integers Word Problems: WP3
    4. Consecutive Odd Integers Word Problems: WP4
    5. Geometric Word Problems: WP5
  8. Using a Chart
    1. Distance, Rate, Time Word Problems
    2. Coin Word Problems
    3. Coin Problem 1
    4. Coin Problem 2
    5. Coin Problem 3
  9. Percent Problems
    1. Converting decimals to percents  
    2. Decimal to percent
    3. Fraction to decimal and percent
  10. Mixture and Interest Problems
    1. Investment Word Problems: WP8
    2. Mixture Word Problems
    3. Mixture Word Problems with Percents: WP11
  11. Quiz 2: Modeling with Linear Equations
  12. Writing a Function Rule
    1. A1 5_4 Writing a Function Rule.wmv
    2. Lesson 5.4: Writing a function rule
  13. Arithmetic Sequences
    1. Arithmetic sequences  
    2. Quick Intro to Arithmetic Sequences
    3. Arithmetic Sequences: A Formula for the ‘ n – th ‘ Term
  14. Direct Variation
    1. Direct variation 1 
    2. Proportionality constant for direct variation 
    3. Direct Variation
  15. Slope
    1. Slope of a line  
    2. Slope of a line 2  
    3. Slope and rate of change  
    4. Slope of a line 3  
  16. Quiz 3: Linear Functions
  17. Linear Equations
    1. Linear Equations in Standard Form
  18. Slope-Intercept Form
    1. Writing Linear Equations
    2. Slope Intercept Form
    3. Graphing a Line in Slope-Intercept Form
    4. What is Slope Intercept Form of a Line , y = mx + b
    5. Multiple examples of constructing linear equations in slope-intercept form 
  19. Writing Linear Equations (1) (Use your previous videos and lessons to complete these next assignments)
    1. Writing Linear Equations
    2. Finding a linear equation given a point and slope  
  20. Writing Linear Equations (2)
    1. Slope of a Line
  21. Writing Linear Equations (3)
    1. Determining Equations of Parallel and Perpendicular Lines
    2. Slope of Parallel and Perpendicular Lines Problem 1
    3. Slope of Parallel and Perpendicular Lines Problem 2
  22. Quiz 4: Writing Linear Function Rules
  23. Review
  24. Test
  25. Alternate Test
  26. Glossary and Credits
UNIT 7: EQUATIONS AND INEQUALITIES
  1. The Greatest Common Factor
    1. Greatest common factor explained  
    2. Greatest common factor exercise  
    3. Greatest Common Factor
  2. Factoring Out the GCF
    1. Factor expressions using the GCF  
    2. Polynomial Factoring The Greatest Common Factor (GCF)  
  3. Factoring Trinomials
    1. FOIL for multiplying binomials  
    2. Example 1: Factoring trinomials with a common factor  
    3. Factoring Trinomials: Factor by Grouping – ex 1  
    4. Factoring Trinomials: Factor by Grouping – ex 2 
    5. Factoring Trinomials : Factor by Grouping – ex 3  
  4. Special Cases
    1. Factoring Perfect Square Trinomials  
    2. Factoring Perfect Square Trinomials – Ex 2 
    3. Factoring the Difference of Two Squares – Ex 1  
    4. Factoring the Difference of Two Squares – Ex 2  
    5. Factoring the Difference of Two Squares – Ex 3  
  5. Factoring by Grouping
    1. Factoring Polynomials By Grouping (4 terms)  
    2. Factoring 4a-Factor 4 terms by grouping  
  6. Perfect Cubes
    1. Perfect Cubes and Cube Roots  
    2. Factoring Sums and Differences of Cubes  
    3. Factoring Sums and Differences of Cubes – Ex 3  
  7. Quiz 1: Factoring
  8. Recognizing a Quadratic
    1. Quadractic Function Overview 
    2. The Quadratic Formula  
    3. The Quadratic formula ​  
  9. The Zero Product Property
    1. The Zero Product Property  
    2. Factoring to Use Zero Product Property 4.8 
  10. The Square Root Method
    1. Solving quadratic equations by square roots  
    2. Example: Solving simple quadratic  
    3. Order of steps exercise example  
  11. Quiz 2: Quadratic Equations
  12. Proportions
    1. Solving Proportions
    2. Algebra – Solving Harder Equations with Ratios (Fractions)  ​
    3. Solving Word Problems using Proportions 1
  13. Using the LCD
    1. Lesson 7-3: Solving Multi-Step Equations with Fractions  
    2. Ex 1: Solve an Equation with Fractions with Variable Terms on Both Sides  
  14. Rate and Mixture Problems
    1. Multiple rates word problems   
    2. Linear Equation , Word Problem #7 : Work, Rates, Time To Complete a Task  
    3. Rational Equations: Applications  
    4. Word problems involving work, rate and time  
    5. Elementary Algebra Lesson 9: Rate of Work Problems     
  15. Ratio Problems
    1. Algebra – Solving Harder Equations with Ratios (Fractions)  
  16. Quiz 3: Rational Equations
  17. Graphing One-Variable Inequalities
    1. Introduction to Set Theory  
    2. Introduction to Subsets  
  18. Addition Property of Inequality
    1. What’s the Addition Property of Inequality? 
    2. Solving Linear Inequalities Problem 1: Addition Property of Inequality  
    3. Inequalities using addition and subtraction
  19. Multiplication Property of Inequality
    1. What’s the Multiplication Property of Inequality?  
    2. Multiplying and dividing with inequalities  
    3. Multiplying and dividing with inequalities example  
  20. Multi-Step Inequalities
    1. Solving a two-step inequality  
    2. Two-step inequalities  
    3. Multi-step inequalities  
  21. Maximum and Minimum (Use your previous videos, if needed, and the material presented in the lesson to complete all of the assignment)
  22. Quiz 4: Inequalities
  23. Review
  24. Test
  25. Alternate Test
UNIT 8: LINEAR SYSTEMS
  1. Compound Inequality Graphs
    1. Introduction to Set Theory
    2. Ex: Solve a Compound Inequality Involving OR (Union)
    3. Ex 3: Solve a Compound Inequality Involving AND (Intersection)
    4. Compound Inequalities – part 1
    5. Compound Inequalities 2
  2. ​Solving Compound Inequalities (Use previous videos)
  3. Inequalities in Two Variables
    1. Graphing inequalities
    2. Solving and graphing linear inequalities in two variables 1  
    3. Graphing inequalities 2 
    4. Graphing linear inequalities in two variables 3  
  4. Quiz 1: Compound and Two Variable Inequalities
  5. Solution of a System
    1. Consistent and Inconsistent Equations ​ 
    2. Number of solutions to a system of equations graphically 
    3. System of Equations: Consistent/Inconsistent and Dependent/Independent
  6. Graphing Systems of Equations
    1. Graphing Systems of Equations
    2. Solving linear systems by graphing
  7. Systems of Inequalities
    1. Graphing inequalities
    2. Solving and graphing linear inequalities in two variables 1  
    3. Graphing linear inequalities in two variables example 2  
    4. Graphing inequalities 2  
    5. Graphing linear inequalities in two variables 3  
  8. Quiz 2: Solving Linear Systems by Graphing
  9. The Substitution Method
    1. The substitution method 
    2. Substitution method 2 
    3. Example 2: Solving systems by substitution 
    4. Example 3: Solving systems by substitution 
  10. The Elimination Method
    1. Example 2: Solving systems by elimination 
    2. Addition elimination method 1  
    3. Addition elimination method 2  
    4. Addition elimination method 3 
  11. Matrices
    1. Introduction to the matrix  
    2. Matrix addition and subtraction  
    3. Finding the determinant of a 2×2 matrix 
    4. Matrix multiplication introduction  
    5. Matrices to solve a system of equations
    6. Using a Matrix Equation to Solve a System of Equations
  12. ​Fractional Coefficients
    1. What’s a Coefficient?
    2. Solving Equations with Fractional Coefficients
    3. Solving Two Step Equations Involving Fractions
    4. Ex 1: Solving a Two Step Equation with Fractions – NOT Clearing the Fractions
  13. Quiz 3: Solving Linear Systems Algebraically
  14. Using Two Variables
    1. Linear systems word problem with substitution (This example has 3 variables, but the process will be the same)
    2. Using a system of equations to find the price of apples and oranges  
  15. Money and Unit Pricing
    1. Coin Word Problems
    2. Coin Problem 1
    3. Coin Problem 2
    4. Coin Problem 3
  16. Using Formulas
    1. Rate Time Distance 1 new
    2. Rate Time Distance 2 new
    3. Rate Time Distance 3 new
    4. Rate Time Distance 4 new
  17. Quiz 4: Modeling with Linear Systems
  18. Review
  19. Test
  20. Alternate Test
  21. Glossary and Credits
UNIT 9: PROBABILITY AND STATISTICS
  1. Measures of Central Tendency
    1. Statistics intro: Mean, median and mode 
    2. Finding mean, median and mode  
    3. Mean, median, and mode  
    4. Statistics – How to make a frequency distribution
    5. Stem-and-leaf plots  
    6. Reading stem and leaf plots  
  2. Dispersion
    1. Basic Descriptive Statistics: Measures of Dispersion
  3. Interpreting Data
    1. Practice 4 – Analyzing and Interpreting Data
    2. What Is Correlation?
    3. Interpolation and Extrapolation: Estimating Values from a Graph
  4. Quiz 1: Statistical Analysis
  5. Outcomes
    1. Count outcomes using tree diagram  
  6. Permutations
    1. The factorial function  
    2. Factorial and counting seat arrangements 
    3. Permutation formula 
  7. Combinations
    1. Introduction to combinations 
    2. Combination formula  
    3. Handshaking combinations  
  8. Quiz 2: Outcomes
  9. Probability
    1. Probability explained  
    2. Finding probability example  
    3. Finding probability example 2  
  10. Compound Events
    1. Compound probability of independent events  
    2. Dependent probability introduction 
    3. Coin flipping probability  
  11. Quiz 3: Probability
  12. Review
  13. Test
  14. Alternate Test
  15. Glossary and Credits

 

UNIT 10:SEMESTER REVIEW AND EXAM
  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B

 

UNIT 11: FINAL EXAM