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INTEGRATED MATH ACADEMIC LIBRARY

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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.

Go To Integrated Math 2nd Semester
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Integrated Math Online

UNIT 1 – FOUNDATIONS OF ALGEBRA
  1. Course Overview
  2. Classifying and Comparing Numbers
    1. Classifying Numbers  
    2. Worked Example: Classifying Numbers 
    3. Number sets 2 
  3. Operations with Rational Numbers
    1. Adding and Subtracting Rational Numbers
    2. Adding and Subtracting Rational Numbers
    3. Multiplication of Rational Numbers
    4. Division of Rational Numbers
  4. Signed Numbers
    1. Absolute value and number lines  
    2. Absolute value 1  
    3. Absolute value of integers  
    4. Comparing absolute values 
  5. Exponents and Order of Operations
    1. Introduction to exponents  
    2. Introduction to order of operations  
    3. Order of operations example 
  6. Quiz 1: The Language of Mathematics
  7. Variables and Expressions
    1. What is a variable?  
    2. Why aren’t we using the multiplication sign 
  8. Evaluating Expressions
    1. Example: Evaluating an expression  
    2. Evaluating expressions in one variable  
  9. Commutative and Associative Properties
    1. Commutative law of addition 
    2. ​Associative law of addition  
  10. The Distributive Property
    1. The distributive property  
    2. The distributive property 2 
    3. Introduction to the distributive property
  11. Simplifying Expressions
    1. Simplifying expressions –
    2. Simplifying Algebraic Expressions
  12. Quiz 2: Introduction to Algebra
  13. Drawing Conclusions
    1. Difference between inductive and deductive reasoning 
    2. Deductive reasoning 2 
    3. Inductive reasoning 1  
  14. Truth Values
    1. Truth Tables for Conditional Statements
  15. Converse, Inverse and Contrapositive
    1. Conditional Statements: Converse, Inverse, Contrapositive   
    2.  Converse, Inverse, and Contrapositive
  16. Quiz 3: Logical Thinking
  17. Open Sentences
    1. Additive Identity  
  18. Addition Property of Equality
    1. Addition Property of Equality
  19. Multiplication Property of Equality
    1. Multiplication Property of Equality
  20. Equations with More than One Step
    1. Solving Multi-Step Equations
    2. Solving Multi-Step Equations
    3. Multi-Step Equations
  21. Variables on Both Sides
    1. Variables on both sides  
    2. Solve an equation with variables on both sides ​
    3. Example 2: Variables on both sides 
  22. Quiz 4: Properties of Equality
  23. Review
  24. Test
  25. Alternate Test
  26. Glossary and Credits
UNIT 2 – THE LANGUAGE OF ALGEBRA
  1. Multiplying with Like Bases
    1. Introduction to exponents  
    2. Exponent example 1  
    3. Exponent example 2 
  2. A Product to a Power
    1. Exponent properties involving products 
    2. Properties of exponents ​
    3. Simplifying exponents
  3. Dividing with Like Bases
    1. Exponent properties involving quotients  
  4. Scientific Notation
  5. Quiz 1: Exponential Expressions
  6. Adding and Subtracting Polynomials
    1. Addition and subtraction of polynomials  
    2. Adding and subtracting polynomials 
  7. Multiplying by a Monomial
    1. Multiplying monomials  
    2. Pre-algebra 10.4a – Multiplying Monomials
  8. Multiplying all Polynomials
    1. Algebra I Help: Multiplying Polynomials
    2. Multiplying Polynomials
    3. Multiplying polynomials ​
  9. F.O.I.L. and Special Cases
    1. FOIL for multiplying binomials    
    2. Algebra I Help: FOIL (Method for Multiplying two Binomials)
  10. Dividing by a Monomial
    1. Dividing monomials  
    2. Dividing monomials
    3. Monomials #4 – Quotient Rule (Dividing Monomials)
    4. Polynomial divided by monomial  
  11. Long Division
    1. Ex 2: Divide a Polynomial by a Binomial Using Long Division
    2. Ex 3: Divide a Polynomial by a Binomial Using Long Division
    3. Ex 4: Divide a Polynomial by a Binomial Using Long Division
    4. Ex 5: Divide a Polynomial by a Binomial Using Long Division
  12. Quiz 2: Operations with Polynomials
  13. Simplifying Radicals
    1. Simplifying radicals  
    2. Simplifying Square Roots (perfect square)
    3. Simplifying Radicals
    4. Square roots and real numbers 
    5. Negative Radicals v Negative Radicands
  14. Multiplying Radicals
    1. Simplifying square roots  
    2. Simplifying radicals  
    3. Square Roots with Variables
  15. Dividing Radicals
    1. Dividing Radicals 
    2. How To Divide Square Roots
    3. Dividing Square Roots
  16. Adding and Subtracting Radicals
    1. Adding and subtracting radicals ​
    2. Adding and subtracting radicals  
    3. Adding and Subtracting Radicals​
  17. Quiz 3: Radical Expressions
  18. Simplifying Rational Expressions
    1. Simplifying rational expressions introduction  
    2. Simplifying rational expressions 1  
    3. Simplifying rational expressions 2  
    4. Simplifying rational expressions 3  
    5. Rational Expressions: Writing in Lowest Terms – Ex 1
  19. Multiplying and Dividing Rational Expressions
    1. Rational Expressions: Multiplying and Dividing. Ex 1
    2. Rational Expressions: Multiplying and Dividing. Ex 2
    3. Rational Expressions: Multiplying and Dividing. Ex 3
    4. Multiplying and dividing rational expressions
    5. Multiplying and dividing rational expressions 1  
    6. Multiplying and dividing rational expressions 2 
    7. Multiplying and dividing rational expressions 3  
  20. Adding and Subtracting Rational Expressions
    1. Rational Expressions: Adding and Subtracting. Ex 1
    2. Rational Expressions: Adding and Subtracting. Ex 2
    3. Adding and Subtracting Rational Expressions
  21. Quiz 4: Rational Expressions
  22. Review
  23. Test
  24. Alternate Test
  25. Glossary and Credits
UNIT 3 – GEOMETRY
  1. Angle Relationship Definitions
    1. Angle basics  
    2. Acute right and obtuse angles
    3. Adjacent Angles
    4. Complementary and supplementary angles
  2. Parallel Lines and Transversals
    1. Angles formed between transversals and parallel lines 
    2. Angles of parallel lines 2  
  3. Interior and Exterior Angles of Polygons
    1. Proof: Sum of measures of angles in a triangle are 180  
    2. Triangle angle example 1  
    3. Triangle angle example 2  
    4. Introduction to the Interior and Exterior Angles of a Triangle
  4. Quiz 1: Angle Relationships
  5. Triangle Properties
    1. Video Walkthrough: Classifying Triangles by Angles and Sides
    2. 6-1 Classifying Triangles
  6. Pythagorean Theorem
    1. Pythagorean theorem  
    2. The Pythagorean theorem intro  
    3. Pythagorean theorem 1  
    4. Pythagorean theorem 2  
  7. Congruence
    1. Congruent triangles and SSS  
    2. Proving Triangles are Congruent
    3. Introduction to Congruent Triangles
    4. Determining If Two Triangles are Congruent
  8. Parallelograms
    1. Quadrilateral overview  
    2. Quadrilateral properties  
    3. Properties of Parallelograms
  9. The Trapezoid
    1. Area of a trapezoid 
    2. Trapezoid Properties
  10. Quiz 2: Polygons
  11. Definitions and Nets
    1. Nets of polyhedra 
  12. Surface Area
    1. Calculating surface area using net 
    2. Surface area using nets  
  13. Volume
    1. How we measure volume  
    2. Measuring volume with unit cubes
    3. Measuring volume as area times length  
    4. Volume of a rectangular prism or box examples  
  14. Quiz 3: Polyhedra
  15. Central Angle and Arc Measure
    1. Arcs and Central Angles
    2. Geometry – Central Angles and Intercepted Arcs
    3. Finding measures of arcs and central angles, part 1  
    4. Finding measures of arcs and central angles, part 2  
  16. Area and Sectors
    1. Area of a sector given a central angle 
    2. Finding Sector Area of a Circle
  17. The Cylinder and Sphere
    1. Surface Area Of A Cylinder
    2. Volume Of A Cylinder 
    3. Surface Area Of A Sphere
    4. Volume Of A Sphere
    5. Cylinder volume and surface area
    6. Volume of a sphere 
  18. Quiz 4: Circles and Spheres
  19. Review
  20. Test
  21. Alternate Test
  22. Glossary and Credits
UNIT 4 – COORDINATE GEOMETRY
  1. The Coordinate Plane
    1. The coordinate plane  
    2. Quadrants of coordinate plane  
    3. Plot ordered pairs  
    4. Coordinate Plane and Plotting Points
  2. Identifying Functions
    1. Relations and functions  
    2. What is a function?  
    3. Introduction to Functions
    4. Introduction to Functions Part 2 ​
    5. Relations & Functions
  3. Function Notation
    1. Evaluating with function notation  
    2. Understanding function notation (example 1)  
    3. Understanding function notation (example 2) 
    4. Linear Functions
    5. Function Notation
  4. Modeling Functions
    1. Dependent and independent variables
    2. Graphing Dependent and Independent Variables
  5. Quiz 1: Introduction to Functions
  6. The Distance Formula
    1. Absolute value and number lines  
    2. Distance formula  
  7. The Midpoint Formula
    1. Midpoint formula  
  8. ​The Circle
    1. Equation For a Circle
  9. Quiz 2: Geometry Proof
  10. Symmetry and Reflections
    1. Geometry – Translations
    2. Geometry – Reflectional Symmetry
  11. Translations and Dilations
    1. Geometry – Translations
    2. Transformations – Translating A Triangle On The Coordinate Plane
    3. Geometry 6.7 (1 of 2) Dilation Transformation
    4. Geometry 6.7 (2 of 2) Dilation Transformation.mp4
  12. Rotations
    1. Geometric Transformations – Rotations
    2. Geometry – Rotations
    3. Rotations in the Coordinate Plane / 9.4
  13. Quiz 3: Transformations
  14. Parent Functions
    1. Graphing 9 Basic Functions
    2. Linear Function Graphs
    3. Parent Functions: Squaring Function 
    4. Graphs of Square Root Functions
    5. Graphs of absolute value functions
    6. Parent Functions: Cubing Function
  15. Reflecting a Parent Function
    1. Shifting and reflecting functions  
  16. Shifting a Parent Function
    1. Shifting functions  
  17. Quiz 4: Families of Functions
  18. Review
  19. Test
  20. Alternate Test
  21. Glossary and Credits
​UNIT 5: SEMESTER REVIEW AND EXAM
  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B