Grade 9

​Algebra 1

Hippocampus Phet Collection:
Algebra
Glencoe McGraw Hill Math Glossary
Art of problem solving Prealgebra/algebra

Art Of Problem Solving PreAlgebra

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Art of Problem Solving Prealgebra Videos

These videos are aligned to Prealgebra textbook, and are part of our Prealgebra 1 and Prealgebra 2 courses.




Chapter 1: Properties of Arithmetic
1.2 Commutative Property of Addition
1.2 Associative Property of Addition
1.2 Sum the Numbers from 1 to 100
1.3 Distributive Property
1.3 Why Do People Say that Repeated Addition is Multiplication? 1.5 Subtraction with Negatives Part 1
1.5 Subtraction with Negatives Part 2
1.5 Subtraction Problems
1.5 Subtraction and the Distributive Property
1.6 What's a Reciprocal?
1.7 Introduction to Division
1.7 Dividing a Sum by a Number

Chapter 2: Exponents
2.1 Product of Powers (Same Exponent)
2.1 Quotient of Powers (Same Exponent)
2.1 Square of a Sum
2.2 "Same Base" Exponent Rules
2.2 An Exponent Rule Problem
2.3 Zero as an Exponent
2.4 Negative Exponents Introduction
2.4 Reciprocals and Negative Exponents
2.4 Exponent Rules with Negative Exponents

Chapter 3: Number Theory
3.1 "Multiple" Facts
3.2 Divisibility Rules for 2, 4, 5, and 25
3.2 Divisibility Rules for 3 and 9
3.3 How to Tell if a Number is Prime
3.4 Problem Solving with Prime Factorization
3.5 Least Common Multiple
3.5 Least Common Multiple Slick Trick
3.6 A Challenging Divisor Problem
3.7 Greatest Common Divisor
3.7 LCM Times GCD

Chapter 4: Fractions
4.1 Fractions Introduction
4.2 Multiplying Fractions
4.2 Of Means Multiply
4.3 Fraction Division
4.5 Fraction Simplification
4.5 Fraction "Cancellation"
4.5 Multiplying Fractions the Lazy Way
4.6 Comparing Fractions Part 1
4.6 Comparing Fractions Part 2
4.7 Adding Fractions with Different Denominators
4.8 Introducing Mixed Numbers
4.8 Mixed Number Addition
4.8 Mixed Number Subtraction
4.8 Mixed Number Multiplication and Division

Chapter 5: Equations and Inequalities
5.1 Simplifying Linear Expressions
5.1 Expressions with Fractions
5.1 Algebraic Expressions Number Game
5.2 Solving Linear Equations Part 1
5.2 Solving Linear Equations Part 2
5.3 Solving Linear Equations Part 3
5.3 Linear Equations with Fractions Part 1
5.3 Linear Equations with Fractions Part 2
5.3 Linear Equations Special Cases
5.4 Word Problems Part 1
5.4 Word Problems Part 2
5.4 Word Problems Part 3
5.5 Basics of Inequalities Part 1
5.5 Basics of Inequalities Part 2
5.5 Solving Linear Inequalities
5.5 An Inequality Word Problem

Chapter 6: Decimals
6.1 Adding Decimals
6.1 Multiplying and Dividing Decimals by Powers of 10
6.1 Multiplying and Dividing Decimals
6.2 Decimals and Estimation
6.3 Converting Decimals to Fractions
6.3 Converting Fractions to Terminating Decimals
6.4 Converting Fractions to Repeating Decimals Part 1
6.4 Converting Fractions to Repeating Decimals Part 2
6.4 Converting Repeating Decimals to Fractions
6.4 Repeating Decimals Problem Solving
Chapter 7: Ratios, Conversions, and Rates
7.1 Introducing Ratios
7.1 Ratios - Parts and Wholes
7.2 Multi-Part Ratios
7.3 Proportion
7.4 Conversion Factors Part 1
7.4 Conversion Factors Part 2
7.5 Speed Problems Part 1
7.5 Speed Problems Part 2
7.6 Rates Part 1
7.6 Rates Part 2 - Work Problems

Chapter 8: Percents
8.1 Percent Introduction
8.1 Basic Percent Problems
8.2 Percent Word Problems Part 1
8.2 Percent Word Problems Part 2
8.3 Percent Increase and Decrease Part 1
8.3 Percent Increase and Decrease Part 2

Chapter 9: Square Roots
9.1 Square Root Introduction Part 1
9.1 Square Root Introduction Part 2
9.2 Non-Integer Square Roots
9.3 Square Root of a Product
9.3 Sum of Square Roots
9.3 Simplifying Square Roots Part 1
9.3 Simplifying Square Roots Part 2

Chapter 10: Angles
10.1 Introduction to Angles
10.1 Angles Around a Point
10.1 Straight and Vertical Angles
10.2 Angles and Parallel Lines
10.3 Angles in a Triangle Part 1
10.3 Angles in a Triangle Part 2
10.3 Angles in a Polygon Part 1
10.3 Angles in a Polygon Part 2

Chapter 11: Perimeter and Area
11.1 Length and Perimeter
11.1 Triangle Inequality Introduction
11.2 Areas of Rectangles and Right Triangles
11.2 Area of an Acute Triangle
11.2 Area of an Obtuse Triangle
11.2 Area Problem Solving Part 1
11.2 Area Problem Solving Part 2
11.3 Introduction to Circles
11.3 Area of a Circle Part 1
11.3 Area of a Circle Part 2
11.3 Funky Area

Chapter 12: Right Triangles and Quadrilaterals
12.1 Proving the Pythagorean Theorem
12.1 Using the Pythagorean Theorem Part 1
12.1 Power of Pythagorean Triples
12.1 Pythagorean Triple Warning!
12.1 Using the Pythagorean Theorem Part 2
12.2 Isosceles and Equilateral Triangles
12.2 Isosceles Right Triangles
12.2 30-60-90 Triangles
12.3 Introducing the Rhombus
12.3 Angles in a Parallelogram
12.3 Area of a Parallelogram
12.3 Area of a Trapezoid
12.3 Classifying Quadrilaterals

Chapter 13: Data and Statistics
13.1 Average (Mean), Median, and Mode
13.1 Another Way to Think About Averages
13.2 Limits of Basic Statistics Part 1
13.2 Limits of Basic Statistics Part 2
13.2 Limits of Basic Statistics Part 3
13.3 Bar Charts and Pie Charts
13.3 Line Graphs

Chapter 14: Counting
14.1 Counting is as Easy as 1, 2, 3
14.1 Counting is as Easy as 24, 28, 32
14.1 Venn Diagrams with Two Categories
14.2 Counting with Multiplication Part 1
14.2 Counting with Multiplication Part 2
14.2 Factorial Introduction
14.2 Counting Permutations
14.2 With or Without Replacement
14.3 Casework Counting Part 1
14.3 Casework Counting Part 2
14.4 Counting Pairs 1
4.5 Probability and Equally Likely Events

Chapter 15: Problem-Solving Strategies
15.1 Find a Pattern
15.2 Make a List
15.3 Draw a Picture
15.4 Work Backwards

Art of Problem Solving
Algebra 1

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Algebra Videos
(from website)

These videos are aligned to Introduction to Algebra textbook, and are part of our Introduction to Algebra A course.




Chapter 1
1.6 The 9 videos for Prealgebra Chapter 2: Exponents cover material in this section.
1.7 The 7 videos for Prealgebra Chapter 9: Square Roots cover material in this section.
1.7 What Do Fractional Exponents Mean?
1.7 Fractional Exponent Problems Part 1
1.7 Fractional Exponent Problems Part 2
1.8 Introducing Radical Notation
1.8 Practice with Radical Notation
1.8 More Practice with Radical Notation

Chapter 2
2.1 Evaluating One-Variable Expressions
2.2 Simplifying One-Variable Expressions
2.3 Simplifying Linear Expressions
2.3 Expressions with Fractions
2.3 Factoring One-Variable Expressions
2.3 Algebraic Expressions Number Game
2.4 Why Cancellation Works
2.4 One-Variable Fractions Part 1
2.4 One-Variable Fractions Part 2

Chapter 3
3.1 Solving Linear Equations Part 1
3.1 Solving Linear Equations Part 2
3.2 Solving Linear Equations Part 3
3.2 Linear Equations with Fractions Part 1
3.2 Linear Equations with Fractions Part 2
3.2 Linear Equations Special Cases
3.3 Word Problems Part 1
3.3 Word Problems Part 2
3.3 Word Problems Part 3
3.4 Linear Equations in Disguise Part 1
3.4 Linear Equations in Disguise Part 2

Chapter 4
4.1 Evaluating Multi-Variable Expressions
4.2 Combining Like Terms with Multiple Variables
4.2 Exponent Rules and Multi-Variable Expressions
4.3 Distributive Property with Multiple Variables
4.3 Factoring Multi-Variable Expressions Part 1
4.3 Factoring Multi-Variable Expressions Part 2
4.4 Fractions and Multiple Variables
4.5 Introduction to Multi-Variable Equations

Chapter 5
5.2 Solving Systems of Linear Equations with Substitution
5.3 Solving Systems of Equations with Elimination Part 1
5.3 Solving Systems of Equations with Elimination Part 2
5.3 Systems of Equations with No Solutions
5.3 Systems of Equations with Infinitely Many Solutions
5.4 Systems of Equations and Word Problems Part 1
5.4 Systems of Equations and Word Problems Part 2
5.5 Multi-Variable Systems of Non-Linear Equations
5.6 Systems of Linear Equations with Three Variables

Chapter 6
6.1 Introducing Ratios
6.1 Ratios - Parts and Wholes
6.1 Multi-Part Ratios
6.2 Ratio Problem Solving
6.3 Conversion Factors - Part 1
6.3 Conversion Factors - Part 2
6.3 Conversion Factors - Part 3
6.4 Percent Introduction
6.4 Basic Percent Problems
6.4 Percent Increase and Decrease Part 1
6.5 Percent Word Problems Part 1
6.5 Percent Word Problems Part 2
6.5 Percent Increase and Decrease Part 2
6.5 Percent Problem Solving

Chapter 7
7.1 Direct Proportion
7.2 Inverse Proportion
7.3 Joint Proportion
7.4 Speed Part 1
7.4 Speed Part 2
7.4 Rates Part 1
7.4 Rates Part 2 - Work Problems
7.4 Speed Problem Solving

Chapter 8
8.1 The Distance Formula
8.2 Introducing Slope
8.2 A Qualitative Look at Slope
8.4 Point-Slope Form
8.5 Slope-Intercept Form
8.6 Graphing and Systems of Linear Equations
8.6 Graphing Perpendicular Lines

Chapter 9
9.1 Basics of Inequalities Part 
9.1 Basics of Inequalities Part 2
9.3 Solving Linear Inequalities
9.3 Interval Notation
9.3 An Inequality Word Problem
9.4 Graphing Linear Inequalities
9.5 Trip to Mars, the Setup
9.5 Trip to Mars, the Solution

Chapter 10
10.1 Multiplying Binomials
10.2 Factoring Quadratics Part 1
10.3 Factoring Quadratics Part 2
10.4 Vieta for Quadratics Part 1
10.4 Vieta for Quadratics Part 2
10.4 Tackling Problems with Vieta

Chapter 11
11.1 Square of a Binomial
11.2 Difference of Squares
11.4 Rationalizing Denominators Part 1
11.4 Rationalizing Denominators Part 2
11.5 Simon's Favorite Factoring Trick

Chapter 12
12.2 Imaginary Numbers Introduction
12.2 Powers of i
12.3 What Are Complex Numbers?
12.3 Adding Complex Numbers
12.3 Multiplying Complex Numbers
12.3 Dividing by Complex Numbers

Chapter 13
13.1 Completing the Square Part 1
13.2 Completing the Square Part 2
13.2 Completing the Square Part 3
13.3 Proving the Quadratic Formula
13.3 Using the Quadratic Formula Part 1
13.3 Using the Quadratic Formula Part 2
13.3 Using the Quadratic Formula Part 3
13.3 The Discriminant
13.4 Quadratic Problem Solving
Helpful for High School Math
Peter Alfeld's  guide to Understanding Mathematics which he wrote for his students at Utah University.

Desmos graphing calculator

WolframAlpha to check your work

GeoGebra announced the release of their GeoGebra Graphing Calculator earlier this month currently available for Android, the app will also be available for iPhone and Windows - watch for announcements and see "What is the GeoGebra Graphing calculator?" and all the Tutorials available.
Holt Algebra 2 with videos by E. Burger
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  • TEDEd Talks
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  • EXTRAS
  • Math History
  • Living Math Videos
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Hippocampus Phet Collection:
Algebra

Mathematicians

Pythagoras
A documentary film about Pythagoras's life as a mathematician, mystic and scientist. Plus some books related to Pythagoras.

Archimedes
This contains documentary films and books about Archimedes: Archimedes - Infinite Secrets, the works of Archimedes, and the Archimedes Palimpsest.

Euclid's Elements
Introductory film about the book Euclid's Elements which is made up of thirteen books. And some links to e-books related to Euclid's Elements.

The Story of 1  ****
The Story of 1 is a BBC documentary presented by Terry Jones, telling the history of numbers - in particular the number 1.

Math History Videos

The Story of Maths  *****
The Story of Maths is a BBC documentary series written and presented by Professor Marcus du Sautoy, outlining aspects of the history of mathematics. The series consists of four episodes respectively titled: The Language of the Universe; The Genius of the East; The Frontiers of Space; and To Infinity and Beyond.. (from wikipedia.org)

  • Episode 1 - The Language of the Universe Marcus du Sautoy looks at how fundamental mathematics is to our lives, and then he explores the mathematics of ancient Egypt, Mesopotamia, and Greece.
  • Episode 2 - The Genius of the East This episode focuses on the development of mathematics in the East and the spread of Eastern Knowledge to the West through Italy.
  • Episode 3 - The Frontiers of Space This episode focuses on the development of mathematical ideas in Europe, especially around the 16th - 19th centuries.
  • Episode 4 - To Infinity and Beyond In this episode, Marcus du Sautoy looks at some of the twenty-three great unsolved problems that were posed by David Hilbert and confronted mathematicians in the 20th century.
Joy of Thinking Video Series –
Teaching Company Series www.teach12.com   Excellent
accessible to middle school level on up
Have discs in teacher closet.

Math in the Real World Videos

The Joy of Mathematics  (LOVE these)
The Joy of Mathematics taught by Professor Arthur Benjamin consists of 24 lectures, taking an overview of mathematics from numbers to differential equations and probability.

Mathematics Illuminated
This consists of thirteen lectures exploring major themes in the field of mathematics, from mankind's earliest study of prime numbers to the cutting edge mathematics.

Mathematics, Philosophy and the "Real World"
Mathematics, Philosophy and the "Real World" explores mathematical concepts and practices that can be applied to a fascinating range of areas and experiences.

Mathematics from the Visual World
Mathematics from the Visual World consists of 24 lectures taught by Professor Michael Starbird, introducing the terms, concepts, and astonishing power of geometry.  (save for next year)

Mathematics: Making the Invisible Visible
This is a series of five two-hour lectures given by Professor Keith Devlin, giving a broad overview of mathematics and revealing the vital role it plays in our world.  (save for next year)

Advanced Topics in Math Videos

Non-Euclidean Geometry
This documentary takes a look at mathematicians in history who speculated about the existence of non Euclidean geometries, including Carl Friedrich Gauss and Yanosh Bolyai.

The Birth of the Calculus
Two men independently discovered and formulated methods for the Calculus, Newton in England and Leibniz in Paris.

Introduction to Number Theory
This consists of twenty-four lectures taught by Professor Edward B. Burger, exploring the world of numbers and showing how number theory is applied to modern technology.

Fermat's Last Theorem
A documentary film about a mathematician who succeeded in proving the Fermat's Last Theorem. Plus a book - Three lectures on Fermat's last theorem.

Discrete Mathematics
Discrete Mathematics consists of twenty-four lectures, focusing on three most important fields in discrete mathematics - combinatorics, number theory, and graph theory.
Mathematics Illuminated
Mathematics Illuminated is a 13-part, integrated-media resource created for adult learners and high school teachers covering the broad scope of human knowledge through the study of mathematics and its relevance in the world today. It reaches beyond formulas and computations to explore the math of patterns, symmetry, relationships, multiple dimensions, and more, all the while uncovering the secrets and hidden delights of the ever-evolving world of mathematics. This course us videos, online texts, web interactive activities, and group activities.  (description per http://www.homeschoolmath.net/curriculum_reviews/curriculum_materials.php)
  • CK-12 All Brain
  • Brain Pop PreAlgebra
  • EXTRAS
  • Online Tools
  • Websites
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Games and Quizzes

CK-12 Braingenie All Brain Math

CK-12 Braingenie Algebra I
BrainMath
Area & PerimeterAlgebraic Reasoning Logic Patterns & Sequences Volume & Surface Area
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Highly Recommend!!!
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Click for Skill in Algebra
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Click for Euclid's Elements
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Albert Anker - Baby on the Table
She Loves Math
Online math lessons geared for girls, from counting through calculus. By math tutor and "mathaholic" Lisa Johnson.

Virtual Nerd
Over 1,500 free video tutorials covering middle school math, pre-algebra, algebra 1, algebra 2, and geometry. You can also search by alignment to SAT, ACT, or Common Core.

Geometry course from Learning Math
This online geometry course includes readings, problems, videos, interactive activities, homework problems and solutions. It is meant for K-8 teachers but will work well for middle school students as well.
Algebra Within Reach
Free algebra videos presented by Dana Mosely, worked-out solutions for selected exercises, and other companion helps for Ron Larson's algebra textbooks.

Math Ops
Free online pre-algebra and algebra course that includes step-by-step narrated tutorials, videos, and online quizzes.



Calculus Made Easy
A free download of an old textbook, acclaimed to be a lively introduction to calculus, with clarity and simplicity.