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7Filling and Wrapping
*38Frogs, Fleas, and Painted Cubes  Quadratic Relationship
*48Growing, Growing, Growing  Exponential Growth
*78Looking for Pythagoras  The Pythagorean Theorem
*18Thinking With Mathematical Models  Linear and Inverse Variation
*28The Shapes of Algebra  Linear Systems and Inequalities
Algebra
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*Common Core  Math 8 Homework
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High School: Algebra » Introduction
Algebra Overview
1 Seeing Structure in Expressions
Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
2 Arithmetic with Polynomials and Rational Functions
Perform arithmetic operations on polynomials
Understand the relationship between zeros and factors of polynomials
Use polynomial identities to solve problems
Rewrite rational functions
3 Creating Equations
Create equations that describe numbers or relationships
4 Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable
Solve systems of equations
Represent and solve equations and inequalities graphically
Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning
Expressions
Interpret structure
Interpret quantity in terms of context.
[A.SSE.2] Use structure to rewrite expressions.
[A.SSE.1A] Interpret parts of an expression.
[A.SSE.1B] View parts of expression as single entities.
Write expressions in equivalent forms to solve problems
Equivalent forms of an expression
[A.SSE.3A] Factor a quadratic expression to reveal zeros.
[A.SSE.3B] Complete the square to reveal minimum and maximum values.
[A.SSE.3C] Use properties of exponents to transform expressions.
[A.SSE.4] Sum of a finite geometric series.
–
Polynomials and rational expressions
Operations on polynomials
[A.APR.1] Add, subtract, and multiply polynomials.
Relationship between zeros and factors of polynomials
[A.APR.2] Remainder Theorem.
[A.APR.3] Factor polynomials; use zeros to construct a graph.
Use polynomial identities to solve problems
[A.APR.4] Prove identities and use them to describe relationships.
[A.APR.5] (+) Binomial Theorem.
Rewrite rational expressions
[A.APR.6] Rewrite simple rational expressions.
[A.APR.7] (+) Add, subtract, multiply and divide rational expressions.
–
Equations
Create equations that describe numbers or relationships
[A.CED.1] Equations and inequalities: linear, quadratic, rational and exponential.
[A.CED.2] Equations in two or more variables; graph.
[A.CED.3] Represent constraints with equations and inequalities; modeling.
[A.CED.4] Rearrange formulas to highlight a quantity of interest.
–
Reasoning with Equations and Inequalities
Equationsolving steps
[A.REI.1] Explain each step in solving a simple equation.
[A.REI.2] Solve simple rational and radical equations in one variable.
Equations and inequalities in one variable
[A.REI.3] Solve linear equations and inequalities.
Quadratic equations in one variable.
[A.REI.4A] Complete the square; derive the quadratic formula.
[A.REI.4B] Solve quadratic equations; recognize complex solutions.
Systems of equations
[A.REI.5] Prove a system of two equations can be solved by elimination.
[A.REI.6] Solve systems of linear equations.
[A.REI.7] Solve systems of a linear and a quadratic equation.
[A.REI.8] (+) Represent a system of linear equations as a matrix equation.
[A.REI.9] (+) Find the inverse of a matrix; use to solve systems.
Represent and solve equations and inequalities graphically
Understand a graph as a set of solutions to an equation.
[A.REI.11] Explain why an intersection is the solution to a system; solve approximately.
[A.REI.12] Graphs of linear inequalities and systems.
ALGEBRA 1
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Solving Multistep Equations
Solving Polynomial Equations
Combined Inequalities (
Disjunctions
,
Conjunctions
)
Writing Linear Equations
Writing Linear Equations Parallel & Perpendicular Lines
Data Analysis  Exponential Equations
Identifying Independent & Dependent Variables
Writing Linear Equations of Real World Applications
Functions (
Notation
,
Composition
)
Systems of Equations  Graphing
Systems of Equations  Substitution
Systems of Equations  Elimination
Monomials  Multiplication
Monomials  Division
Polynomials (
Basic Operations
,
Multiplication
)
Factoring Special Trinomials (
Part I
,
Part II
)
Factoring by Grouping
Factoring Trinomials part 1
Factoring Trinomials part 2
Quadratic Equations  Solution by Factoring
Quadratic Equations  Solution by Square Root Property
Quadratic Equations  Solution by Quadratic Formula
Graphing Quadratic Equations
Radicals  Simplifying
Radicals  Multiplication, Division
Radicals  Addition, Subtraction
Rational Expressions  Simplifying
Rational Expressions  Multiplication, Division
Rational Expressions  Addition, Subtraction  Like Denominations
Exponential Growth and Decay
Graphing Exponential Equations (
Part I
,
Part II
)
Matrices
Problem Solving (
Integer
,
Geometric, Mixture
)
Problem Solving  Distances
Problem Solving  Inequalities
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High School: Algebra » Introduction
Algebra Overview
1 Seeing Structure in Expressions
2 Arithmetic with Polynomials and Rational Functions
3 Creating Equations
4 Reasoning with Equations and Inequalities
Mathematical Practices
Interpret quantity in terms of context.[A.SSE.2] Use structure to rewrite expressions.
ALGEBRA 1
Make sure you have the latest version of Quicktime to view these videos.