Mathematics - Algebra 1

Unit 1 - Thinking with Mathematical Models: Linear and Inverse Variations


Linear models and equations, inverse variation models and equations, variability of numerical and categorical data.
Armour Learning - Types of Variables: Discrete, Continuous & Categoricalhttps://youtu.be/faMFQVczLqU
Don't Memorise - How to Use the Inverse Method to Solve a Linear Equation? (video)https://youtu.be/8MNNWrIO5to
Grade 8 Equations - Solving Algebraically by Using Inverse Operations (video)https://youtu.be/HFlCKKIrR6E
Khan Academy - Linear models example 1 | Algebra I (video)https://youtu.be/W3flX500w5g
Khan Academy - Modeling with linear equations example 1 | Linear equations and functions (video)https://youtu.be/qPx7i1jwXX4
Khan Academy - Modeling with linear equations example 2 | Linear equations and functions (video)https://youtu.be/5EdbPz1ZVn0
Types of Data: Categorical vs Numerical Data (video)https://youtu.be/DUcXZ08IdMo

Unit 2 - Looking for Pythagoras: The Pythagorean Theorem

Use and proof of Pythagorean Theorem and converse, square roots, cube roots, irrational and real numbers, equation of circle.
Don't Memorise - Standard Equation of Circle | Conic Sections (video)https://youtu.be/cyKFBmTjyio
Don't Memorise - What are Irrational Numbers? | Number System (video)https://youtu.be/CtRtXoT_2Ps
Khan Academy - Introduction to cube roots | Numbers and operations | 8th grade (video)https://youtu.be/87_qIofPwhg
Khan Academy - Introduction to rational and irrational numbers | Algebra I (video)https://youtu.be/cLP7INqs3JM
Khan Academy - Introduction to square roots | Numbers and operations | 8th grade (video)https://youtu.be/mbc3_e5lWw0
Khan Academy - The Pythagorean theorem intro | Right triangles and trigonometry | Geometry (video)https://youtu.be/AA6RfgP-AHU
Math Antics - Exponents and Square Roots (video)https://youtu.be/B4zejSI8zho
Math Antics - The Pythagoream Theorem (video)https://youtu.be/WqhlG3Vakw8
Math Lesson: Converse of Pythagoras Theorem (Acute, Right or Obtuse)(With Examples) (video)https://youtu.be/QBXX9uDjnxo
Math Shorts Episode 15 - Applying the Pythagorean Theorem (video)https://youtu.be/elr2w5jrFbQ
Ted-Ed - How many ways are there to prove the Pythagorean theorem? (video)https://youtu.be/YompsDlEdtc

Unit 3 - Growing, Growing, Growing: Exponential Functions

Representing exponential growth with tables, graphs, equations; rules for exponents, scientific notation; Exponential Decay; growth/decay factors and rates
How to Graph Exponential Functionshttps://youtu.be/DASfP8KAyvs
Khan Academy - Exponent properties involving products | Numbers and operations | 8th gradehttps://youtu.be/zM_p7tfWvLU
Khan Academy - Introduction to scientific notation | Pre-Algebrahttps://youtu.be/trdbaV4TaAo
Mashup Math - Converting to Scientific Notation Examples!https://youtu.be/Wf-HlVqZPHY
Mashup Math - Exponent Rules: Dividing Exponents with the Same Base!https://youtu.be/khLTbG0VB3Q
Mashup Math - Exponent Rules: Product to a Power Explained!https://youtu.be/kbOqDoWVJmE
Mashup Math - Exponent Rules: The Power to Power Rule!https://youtu.be/39l-MZFUEzY
Mashup Math - Exponent Rules: Multiplying Exponents with the Same Base!https://youtu.be/7gZBCTw2EmI
Mashup Math - Multiplying Negative Exponents Using the Negative Exponent Rule!https://youtu.be/wQmtsgRMGmU
Mashup Math - Practice Using the Exponential Growth Formula—with Zombies!https://youtu.be/GGytywqpGXA
Mashup Math - What is an Exponent in Math?https://youtu.be/W3lPO3LrVuE
Math Antics - Algebra Basics: Laws Of Exponentshttps://youtu.be/LkhPRz7Hocg
Math Antics - Intro To Exponents (aka Indices)https://youtu.be/-zUmvpkhvW8
Math Antics - Scientific Notationhttps://youtu.be/bXkewQ7WEdI
Math Help Videos - Exponential Growth and Decayhttps://youtu.be/P-psvbT9CJY
Math is Simple - Simplifying Exponents | Expressions & Equations | Grade 8https://youtu.be/16U2rN0dxrU
Math on the Web - Exponentials: Determine if the exponential function is a growth, decay, or neither.https://youtu.be/17T4GSbqGlM
You Can Do Maths - Grade 8 Exponentshttps://youtu.be/cWKMaec8IkM

Unit 4 - Frogs and Fleas and Painted Cubes: Quadratic Functions

Representing quadratic functions, factoring quadratic expressions, patterns of change, effect of parameters.
Graphing Quadratic Functions in Vertex & Standard Form - Axis of Symmetry - Word Problemshttps://youtu.be/Hq2Up_1Ih5E
Khan Academy - Patterns in sequences 1 | Linear equations | Algebra Ihttps://youtu.be/Zj-a_9cd5jc
MahaloDotCom - How to Factor Quadratic Expressionshttps://youtu.be/yfiMho1_t4k
Mario's Math Tutoring - Parametric Equations - How to Eliminate the Parameterhttps://youtu.be/pvbyMXsDR3A
NancyPi - Factoring Quadratics... How?https://youtu.be/YtN9_tCaRQc
Quadratic Functions and Parabolas in the Real Worldhttps://youtu.be/He42k1xRpbQ
StudyPub - ʕ•ᴥ•ʔ Easily Learn to Solve Quadratic Equations by Factoringhttps://youtu.be/zFSlzjyfc8o
StudyPug - ʕ•ᴥ•ʔ Quadratic Functions - Explained, Simplified and Made Easyhttps://youtu.be/KRwb4YhQPwA

Unit 5 - Say it with Symbols: Making Sense of Symbols

Equivalent expressions, solving linear and quadratic equations; identify and represent linear, exponential and quadratic functions
CK-12 - Comparing Linear, Exponential, and Quadratic Functionshttps://youtu.be/9Bu0Hkxw88g
Don't Memorise - Quadratic Equations - Basicshttps://youtu.be/UZTvYYoOrmI
How To Solve Quadratic Equations By Factoring - Quick & Simple!https://youtu.be/qeByhTF8WEw
Introduction to Linear, Quadratic and Exponential Functionshttps://youtu.be/Rn13apHWgD8
JoAnn's School - Grade 8 Math #7.4a, Linear Equations - One, Many, No solutionshttps://youtu.be/jxHyzT540Gc
Khan Academy - Algebra: Linear equations 1 | Linear equations | Algebra Ihttps://youtu.be/bAerID24QJ0
Khan Academy - Equivalent forms of expressions | Introduction to algebra | Algebra Ihttps://youtu.be/S9pTSmXmXH8
Khan Academy - How to Find Equivalent Expressions by Combining Like Terms and Using the Distributive Propertyhttps://youtu.be/rHNY01R2VSQ
Khan Academy - Introduction to the Quadratic Equation | Quadratic Equations | Algebra Ihttps://youtu.be/IWigvJcCAJ0
Khan Academy - Linear, Quadratic, and Exponential Modelshttps://youtu.be/CxEFOozrMSE
Math Antics - Algebra Basics: What Are Functions?https://youtu.be/52tpYl2tTqk
Top Tier Math - Determining if a Function is Linear, Quadratic, or Exponential from a Tablehttps://youtu.be/2gmt_PSjm1Y

Unit 6 - Butterflies, Pinwheels and Wallpaper: Symmetry and Transformations

Symmetry, transformations, congruence, similarity, coordinate proofs.
Don't Memorise - Reflectional Symmetry and Rotational Symmetryhttps://youtu.be/s4tS-ZmpJfw
Don't Memorise - What are Congruent Figures?https://youtu.be/86iU3fypTd4
Don't Memorise - What is Symmetry? - Basics | Line of Symmetryhttps://youtu.be/MtqtIiJsfiE
Don't Memorise - When are Two Triangles Similar?https://youtu.be/8h-BeLqfa3E
Khan Academy - Congruent and Similar Triangleshttps://youtu.be/0mKmYxuMirE
Khan Academy - Congruent triangles and SSS | Congruence | Geometryhttps://youtu.be/CJrVOf_3dN0
Khan Academy - Introduction to Transformations | Transformations | Geometryhttps://youtu.be/XiAoUDfrar0
Khan Academy - Similar triangles | Similarityhttps://youtu.be/BI-rtfZVXy0
Mashup Math - Difference Between Similar & Congruent Figureshttps://youtu.be/h7ZAQfNh8XA
Mathtermind - Geometry 4-8 Triangles Coordinate Proofhttps://youtu.be/9ZdEs1jjIJ0
Ms. Smith's Math Tutorials - Coordinate Proofshttps://youtu.be/jqo3IWdQWKM
Translations, Reflections and Rotationshttps://youtu.be/VJTxv-tRKj0

Unit 7 - It's in the System: Systems of Linear Equations and Inequalities

Solving linear systems graphically and algebraically, systems of functions and inequalities, solving systems of linear inequalities
Graphing Systems of Linear Inequalitieshttps://youtu.be/FWbcKade3rw
Khan Academy - Graphing systems of equations | Systems of equations | 8th gradehttps://youtu.be/MRAIgJmRmag
Khan Academy - Graphic Systems of Inequalitieshttps://youtu.be/TqsRlc02rtc
Khan Academy - Graphs of linear equations | Linear equations and functions | 8th gradehttps://youtu.be/rgvysb9emcQ
Khan Academy - Introduction to Functionshttps://youtu.be/VhokQhjl5t0
Khan Academy - Solving linear systems by graphing | Systems of equations | 8th gradehttps://youtu.be/5a6zpfl50go
Khan Academy - Solving linear systems by substitution | Algebra Basicshttps://youtu.be/V7H1oUHXPkg
Khan Academy - Systems of Linear Inequalitieshttps://youtu.be/5xQqwgS3O4U
Khan Academy - What is the range of a function? | Functions | Algebra Ihttps://youtu.be/96uHMcHWD2E
Linear Functionshttps://youtu.be/BtcKotD6Ni8
Mashup Math - SOLVING SYSTEMS OF EQUATIONS STEP-BY-STEP!https://youtu.be/9MPUSWUyaYU
Math Antics - What are Functions?https://youtu.be/52tpYl2tTqk
Solving Systems of Equations by Graphing Review | Expressions & Equations | Grade 8https://youtu.be/dBzrA1fuHP0

Unit 8 - Function Junction: Families of Functions

Function notation, inverses, arithmetic/geometric sequences, transformations on functions; completing the square, quadratic formula, polynomial expressions / functions / equations.
Algebra 1: Arithmetic & Geometric Sequenceshttps://youtu.be/qyDrsTRixOc
Algebra 1 Function Notationhttps://youtu.be/BtyRWox49eo
Arithmetic Sequences and Geometric Sequenceshttps://youtu.be/Uz4wjNsMKP8
How To Find The Inverse of a Functionhttps://youtu.be/2zeYEx4eTdc
How To Solve Quadratic Equations Using The Quadratic Formulahttps://youtu.be/IlNAJl36-10
How To Use The Quadratic Formula To Solve Equationshttps://youtu.be/LKm3JVH5P7o
Khan Academy - Example 1: Completing the square | Quadratic equations | Algebra Ihttps://youtu.be/VvuuRpJbbHE
Khan Academy - Completing the square for quadratic formula | Quadratic equations | Algebra Ihttps://youtu.be/95tChNVzodY
Khan Academy - Example 1: Using the quadratic formula | Quadratic equations | Algebra Ihttps://youtu.be/iulx0z1lz8M
Khan Academy - Example 3: Completing the square | Quadratic equations | Algebra Ihttps://youtu.be/TV5kDqiJ1Os
Mr. G Math - Function Notation (3.3 Big Ideas Math - Algebra 1)https://youtu.be/AzPkZ6P23xU
NancyPi - How to Find the Inverse of a Functionhttps://youtu.be/-l7U3dEAGa4
NancyPi - How to Solve By Completing the Squarehttps://youtu.be/prx_Bf2hakw
Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressionshttps://youtu.be/ZvL9aDGNHqA
That Math Magician - Algebra 1: Function Notation Exampleshttps://youtu.be/hrRAP8XST6c
StudyPug - ʕ•ᴥ•ʔ Completing the Square - learn with easy exampleshttps://youtu.be/L_FCOWo9nwA
Sum Math - Algebra1 Transforming Linear Functionshttps://youtu.be/XIHsbjEYdlU
Transformations of Functionshttps://youtu.be/cnd7mSuB294