Below are a list of helpful math websites that can be used as great resources throughout the year.
Parents and Students: Although Algebra I is divided into 6 units on the Georgia Standards of Excellence Website, it will actually be divided into 8 units for our class this year. Below is a break down of the 8 Units we will cover and their topics. I have attached a link to each topic that will take you directly to a video for further review.
Unit 1: Expressions
Parts of Expression
www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions/v/expression-terms-factors-and-coefficients
Simplify Expressions
www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-manipulating-expressions/v/combining-like-terms-and-the-distributive-property
Polynomials
www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/introduction-to-polynomials/v/polynomials-intro
Operations with Polynomials
www.khanacademy.org/test-prep/sat/sat-math-practice/new-sat-passport-advanced-mathematics/v/sat-math-p6-easier
Algebraic Expressions
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/v/writing-expressions-1
Simplifying Radicals
www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/v/simplifying-square-roots-1
www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/v/simplifying-square-roots-comment-response
Operations with Radicals
Addition- www.khanacademy.org/math/algebra-home/alg-exp-and-log/miscellaneous-radicals/v/adding-and-simplifying-radicals
Subtraction- https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/miscellaneous-radicals/v/subtracting-and-simplifying-radicals
Multiplication- www.youtube.com/watch?v=1J6kVSu0FaE
Real Number System
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/categorizing-numbers
Parts of Expression
www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions/v/expression-terms-factors-and-coefficients
Simplify Expressions
www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-manipulating-expressions/v/combining-like-terms-and-the-distributive-property
Polynomials
www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/introduction-to-polynomials/v/polynomials-intro
Operations with Polynomials
www.khanacademy.org/test-prep/sat/sat-math-practice/new-sat-passport-advanced-mathematics/v/sat-math-p6-easier
Algebraic Expressions
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/v/writing-expressions-1
Simplifying Radicals
www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/v/simplifying-square-roots-1
www.khanacademy.org/math/algebra/rational-exponents-and-radicals/alg1-simplify-square-roots/v/simplifying-square-roots-comment-response
Operations with Radicals
Addition- www.khanacademy.org/math/algebra-home/alg-exp-and-log/miscellaneous-radicals/v/adding-and-simplifying-radicals
Subtraction- https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/miscellaneous-radicals/v/subtracting-and-simplifying-radicals
Multiplication- www.youtube.com/watch?v=1J6kVSu0FaE
Real Number System
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/categorizing-numbers
Unit 2: Equations and Inequalities with 1 variable / Linear Equations and Inequalities
Properties
www.youtube.com/watch?v=m1xlpxUdouk
Multi-step Equations
www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-equations-with-parentheses/v/solving-equations-with-the-distributive-property
Proportions
www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-write-and-solve-proportions/v/find-an-unknown-in-a-proportion
Unit Conversions (Dimensional Analysis)
www.khanacademy.org/math/algebra/units-in-modeling/rate-conversion/v/dimensional-analysis-units-algebraically
Consecutive Integers
www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-linear-equations-word-problems/v/sum-consecutive-integers
Inequalities and graphing
Multi-Step Inequalities- www.khanacademy.org/math/algebra/one-variable-linear-inequalities/multi-step-inequalities/v/multi-step-inequalities
Graphing Inequalities - www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-inequalities
Compound Inequalities
www.khanacademy.org/math/algebra/one-variable-linear-inequalities/compound-inequalities/v/compound-inequalities
Literal Equations
https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/solving-for-a-variable
Properties
www.youtube.com/watch?v=m1xlpxUdouk
Multi-step Equations
www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-equations-with-parentheses/v/solving-equations-with-the-distributive-property
Proportions
www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-write-and-solve-proportions/v/find-an-unknown-in-a-proportion
Unit Conversions (Dimensional Analysis)
www.khanacademy.org/math/algebra/units-in-modeling/rate-conversion/v/dimensional-analysis-units-algebraically
Consecutive Integers
www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-linear-equations-word-problems/v/sum-consecutive-integers
Inequalities and graphing
Multi-Step Inequalities- www.khanacademy.org/math/algebra/one-variable-linear-inequalities/multi-step-inequalities/v/multi-step-inequalities
Graphing Inequalities - www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-inequalities
Compound Inequalities
www.khanacademy.org/math/algebra/one-variable-linear-inequalities/compound-inequalities/v/compound-inequalities
Literal Equations
https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/solving-for-a-variable
Unit 3: Systems of Equations and Inequalities
Graphing a linear equation
www.khanacademy.org/math/in-in-grade-9-ncert/in-in-chapter-4-linear-equations-in-two-variables/in-in-graph-of-a-linear-equation-in-two-variables/v/graphs-of-linear-equations
Solving systems by graphing
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/solving-linear-systems-by-graphing
Solving by substitution
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/the-substitution-method
Solving by elimination
www.khanacademy.org/math/algebra-home/alg-system-of-equations/alg-equivalent-systems-of-equations/v/solving-systems-of-equations-by-elimination
Word Problems
www.khanacademy.org/test-prep/sat/sat-math-practice/new-sat-heart-of-algebra/v/sat-math-h5-easier
Solving a system of inequalities
www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-systems-of-inequalities-2
Special Cases
www.youtube.com/watch?v=p0lIoIFWHes
Graphing a linear equation
www.khanacademy.org/math/in-in-grade-9-ncert/in-in-chapter-4-linear-equations-in-two-variables/in-in-graph-of-a-linear-equation-in-two-variables/v/graphs-of-linear-equations
Solving systems by graphing
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/solving-linear-systems-by-graphing
Solving by substitution
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/the-substitution-method
Solving by elimination
www.khanacademy.org/math/algebra-home/alg-system-of-equations/alg-equivalent-systems-of-equations/v/solving-systems-of-equations-by-elimination
Word Problems
www.khanacademy.org/test-prep/sat/sat-math-practice/new-sat-heart-of-algebra/v/sat-math-h5-easier
Solving a system of inequalities
www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-systems-of-inequalities-2
Special Cases
www.youtube.com/watch?v=p0lIoIFWHes
Unit 4: Linear Functions
Relations vs. Functions
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-function-intro/v/relations-and-functions
Domain
www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-of-a-function-intro
Range
www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/range-of-a-function
Function Notation
www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-functions-and-function-notation/v/understanding-function-notation-example-3
Function Tables
www.khanacademy.org/math/algebra/algebra-functions/recognizing-functions-ddp/v/functional-relationships-1
Slope
www.khanacademy.org/math/algebra/two-var-linear-equations/slope/v/introduction-to-slope
Writing equations with slope, graph, points, etc.
www.khanacademy.org/math/algebra/two-var-linear-equations/writing-slope-intercept-equations/v/graphs-using-slope-intercept-form
Zeros of Functions
https://www.khanacademy.org/math/algebra2/polynomial-functions/finding-zeros-of-polynomials/v/finding-roots-or-zeros-of-polynomial-1
Point Slope Formula
https://www.khanacademy.org/math/algebra/two-var-linear-equations/point-slope/v/idea-behind-point-slope-form
Arithmetic Sequences
https://www.khanacademy.org/math/algebra/sequences/introduction-to-arithmetic-squences/v/arithmetic-sequences
Average Rate of Change for a Linear Function
https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/introduction-to-average-rate-of-change
Unit 5: Quadratic Functions
Factoring using one of the following methods:GCF
https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-polynomials-1-common-factors/v/factoring-and-the-distributive-property-3
Square root
https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-quadratics-square-root/v/solving-quadratic-equations-by-square-roots
Difference of two squares
https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-diff-of-squares/v/factoring-to-produce-difference-of-squares
Basic trinomial
https://www.youtube.com/watch?v=cWapvAWXdoY
Slide/Divide
https://www.youtube.com/watch?v=M6ZQYOBehDs
Solve a Quadratic Function using:The Factoring Method
https://www.google.com/search?rlz=1C1ASUM_enUS843US843&ei=8R0JXa3jIPKV_Qa-55qQDg&q=solve+quadratics+by+factoring&oq=solve+quadratic&gs_l=psy-ab.1.1.0j0i67j0i20i263j0j0i20i263j0l5.2760.31927..34659...1.0..0.162.1739.9j7......0....1..gws-wiz.......0i71j35i39j0i131.RIOoHZmiN1g#kpvalbx=1
The Quadratic Formula
https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-using-the-quadratic-formula/v/quadratic-formula-1
Characteristics of Quadratic Functions:
AOS and Vertex
https://www.youtube.com/watch?v=-dWgY6lCASA
End Behavior
https://www.khanacademy.org/math/algebra2/polynomial-functions/polynomial-end-behavior/v/recognizing-features-of-functions-example-1
Standard/Vertex Form
https://www.youtube.com/watch?v=ZWAzSJOq2z0
Roots
https://www.youtube.com/watch?v=ROTzYjLcvE0
Max/Min Extrema and Domain/Range
https://www.youtube.com/watch?v=onzzTcULaOs
Discriminant
https://www.youtube.com/watch?v=JBSDQLZtjFo
Average Rate of Change for a Quadratic Function
https://www.youtube.com/watch?v=-Nvp9W3sSuI
Factoring using one of the following methods:GCF
https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-polynomials-1-common-factors/v/factoring-and-the-distributive-property-3
Square root
https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-quadratics-square-root/v/solving-quadratic-equations-by-square-roots
Difference of two squares
https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-diff-of-squares/v/factoring-to-produce-difference-of-squares
Basic trinomial
https://www.youtube.com/watch?v=cWapvAWXdoY
Slide/Divide
https://www.youtube.com/watch?v=M6ZQYOBehDs
Solve a Quadratic Function using:The Factoring Method
https://www.google.com/search?rlz=1C1ASUM_enUS843US843&ei=8R0JXa3jIPKV_Qa-55qQDg&q=solve+quadratics+by+factoring&oq=solve+quadratic&gs_l=psy-ab.1.1.0j0i67j0i20i263j0j0i20i263j0l5.2760.31927..34659...1.0..0.162.1739.9j7......0....1..gws-wiz.......0i71j35i39j0i131.RIOoHZmiN1g#kpvalbx=1
The Quadratic Formula
https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-using-the-quadratic-formula/v/quadratic-formula-1
Characteristics of Quadratic Functions:
AOS and Vertex
https://www.youtube.com/watch?v=-dWgY6lCASA
End Behavior
https://www.khanacademy.org/math/algebra2/polynomial-functions/polynomial-end-behavior/v/recognizing-features-of-functions-example-1
Standard/Vertex Form
https://www.youtube.com/watch?v=ZWAzSJOq2z0
Roots
https://www.youtube.com/watch?v=ROTzYjLcvE0
Max/Min Extrema and Domain/Range
https://www.youtube.com/watch?v=onzzTcULaOs
Discriminant
https://www.youtube.com/watch?v=JBSDQLZtjFo
Average Rate of Change for a Quadratic Function
https://www.youtube.com/watch?v=-Nvp9W3sSuI
Unit 6: Exponential Functions
Geometric Sequence
https://www.khanacademy.org/math/algebra/sequences/introduction-to-geometric-sequences/v/geometric-sequences-introduction
Solving Exponential equations
https://www.khanacademy.org/math/algebra2/exponential-growth-and-decay-alg-2/solving-exponential-equations-using-properties-of-exponents/v/solving-exponential-equations-with-exponent-properties
Evaluating exponential equations
https://www.youtube.com/watch?v=roI95J7XCA8
Exponential Formulas:
Growth/Decay; Compound Interest; Half-life
https://www.showme.com/sh/?h=5kzDwDA
Graphing Exponential Functions:
a. Domain/Range/Asymptote https://www.youtube.com/watch?v=3PEeiLxGKlw
b. Transformations https://www.youtube.com/watch?v=yxq21ZbpcO4
d. X and Y Intercepts https://www.youtube.com/watch?v=yYaT18oz8vg
e. End behavior https://www.youtube.com/watch?v=QN1VUU26E0g
Even and Odd Functions
https://www.youtube.com/watch?v=3o6EVhO0n2U
Comparing Linear, Quadratic, and Exponential Tables
https://www.youtube.com/watch?v=vLkOL-yqj60
Average Rate of Change for Exponential Functions
https://www.youtube.com/watch?v=iwTu4fHoyZ0
Geometric Sequence
https://www.khanacademy.org/math/algebra/sequences/introduction-to-geometric-sequences/v/geometric-sequences-introduction
Solving Exponential equations
https://www.khanacademy.org/math/algebra2/exponential-growth-and-decay-alg-2/solving-exponential-equations-using-properties-of-exponents/v/solving-exponential-equations-with-exponent-properties
Evaluating exponential equations
https://www.youtube.com/watch?v=roI95J7XCA8
Exponential Formulas:
Growth/Decay; Compound Interest; Half-life
https://www.showme.com/sh/?h=5kzDwDA
Graphing Exponential Functions:
a. Domain/Range/Asymptote https://www.youtube.com/watch?v=3PEeiLxGKlw
b. Transformations https://www.youtube.com/watch?v=yxq21ZbpcO4
d. X and Y Intercepts https://www.youtube.com/watch?v=yYaT18oz8vg
e. End behavior https://www.youtube.com/watch?v=QN1VUU26E0g
Even and Odd Functions
https://www.youtube.com/watch?v=3o6EVhO0n2U
Comparing Linear, Quadratic, and Exponential Tables
https://www.youtube.com/watch?v=vLkOL-yqj60
Average Rate of Change for Exponential Functions
https://www.youtube.com/watch?v=iwTu4fHoyZ0
Unit 7: Statistics
Measures of Central Tendency https://www.youtube.com/watch?v=ZexjdSFaxHI
Mean Absolute Deviation https://www.youtube.com/watch?v=PwsXncM2pas
Frequency Table and Dot Plots https://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/frequency-tables-dot-plots/v/frequency-tables-and-dot-plots
Histograms https://www.khanacademy.org/math/pre-algebra/pre-algebra-math-reasoning/pre-algebra-picture-bar-graphs/v/histograms
Spread and Shape of Data https://www.khanacademy.org/math/probability/data-distributions-a1/displays-of-distributions/v/shapes-of-distributions
Box-Whisker Plot https://www.youtube.com/watch?v=Ive6_u1-b8o
Interquartile Range https://www.youtube.com/watch?v=dNHGVLXBTgI
Two-way Frequency Table https://learnzillion.com/lesson_plans/5462-use-two-way-frequency-tables-frequency-count-vs-relative-frequency/
Scatter Plots https://www.youtube.com/watch?v=G6Edu_RybxA
Correlations (Positive / Negative) https://www.youtube.com/watch?v=hRK7KXfY7DM
Causations / Correlations https://www.youtube.com/watch?v=VMUQSMFGBDo
Line of Best Fit
https://www.youtube.com/watch?v=DmGLQkUm-4g
https://www.youtube.com/watch?v=wyEBNptWQZY
Measures of Central Tendency https://www.youtube.com/watch?v=ZexjdSFaxHI
Mean Absolute Deviation https://www.youtube.com/watch?v=PwsXncM2pas
Frequency Table and Dot Plots https://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/frequency-tables-dot-plots/v/frequency-tables-and-dot-plots
Histograms https://www.khanacademy.org/math/pre-algebra/pre-algebra-math-reasoning/pre-algebra-picture-bar-graphs/v/histograms
Spread and Shape of Data https://www.khanacademy.org/math/probability/data-distributions-a1/displays-of-distributions/v/shapes-of-distributions
Box-Whisker Plot https://www.youtube.com/watch?v=Ive6_u1-b8o
Interquartile Range https://www.youtube.com/watch?v=dNHGVLXBTgI
Two-way Frequency Table https://learnzillion.com/lesson_plans/5462-use-two-way-frequency-tables-frequency-count-vs-relative-frequency/
Scatter Plots https://www.youtube.com/watch?v=G6Edu_RybxA
Correlations (Positive / Negative) https://www.youtube.com/watch?v=hRK7KXfY7DM
Causations / Correlations https://www.youtube.com/watch?v=VMUQSMFGBDo
Line of Best Fit
https://www.youtube.com/watch?v=DmGLQkUm-4g
https://www.youtube.com/watch?v=wyEBNptWQZY
Unit 8: Review / Compare and Contrast Functions
Compare Linear, Quadratic, and Exponential Functions
https://www.youtube.com/watch?v=9Bu0Hkxw88g
https://www.youtube.com/watch?v=CxEFOozrMSE
https://www.youtube.com/watch?v=A4o-69uWK9Y
https://www.youtube.com/watch?v=VcLzYMSV5tU
https://www.youtube.com/watch?v=OcrmqS7IhCM
https://virtualnerd.com/algebra-1/quadratic-equations-functions/linear-exponential-comparison/linear-exponential-comparison-graphing-examples/determine-function-type-from-graph
https://www.youtube.com/watch?v=vLkOL-yqj60
Compare Linear, Quadratic, and Exponential Functions
https://www.youtube.com/watch?v=9Bu0Hkxw88g
https://www.youtube.com/watch?v=CxEFOozrMSE
https://www.youtube.com/watch?v=A4o-69uWK9Y
https://www.youtube.com/watch?v=VcLzYMSV5tU
https://www.youtube.com/watch?v=OcrmqS7IhCM
https://virtualnerd.com/algebra-1/quadratic-equations-functions/linear-exponential-comparison/linear-exponential-comparison-graphing-examples/determine-function-type-from-graph
https://www.youtube.com/watch?v=vLkOL-yqj60