Developmental math – Beginning algebra
NROC Collection
Presentations
Real Numbers
Variables and expressions6.EE1, 6.EE2, 6.EE6
Integers6.NS.5, 6.NS6.c, 6.NS7
Rational and real numbers6.NS.5, 6.NS.7b, 8.NS.1, N.RN.5
Adding integers7.NS.1
Adding real numbers7.NS.1, 7.NS.2, 7.EE.3, 7.EE.4
Subtracting real numbers7.NS.1, 7.EE.3, 7.EE.4
Multiplying and dividing real numbers7.NS.2, 7.EE.1, 7.EE.3
Associative, Commutative, and Distributive Properties3.OA.5, 6.EE.3, 7.EE.1, 7.NS.1, 7.NS.2
Order of operations3.OA.8, 5.OA.1, 6.EE.2
Solving equations and inequalities
Solving one-step equations using properties of equality6.EE.7
Solving multi-step equations 7.EE.3, 7.EE.4
Special cases and applications 7.EE.3, 7.EE.4
Formulas 16.EE.2, 5.MD.5
Solving one-step inequalities 6.EE.5, 7.EE.4, 6.EE.8, A.CED.1
Multi-step inequalities 7.EE.4
Compound inequalitiesA.CED.1
Equations and inequalities and absolute valueA.REI.11
Exponents and polynomials
Exponential notationN/A, 8.EE.2, F.IF.2, F.IF.8b
Simplify by using the product, quotient, & power rules F.IF.8b, N.RN.1, N.RN.2
Products and quotients raised to powersA.SSE.2, A.SSE.3, N.RN.2
Scientific notation8.EE.4
Introduction to single variable polynomials6.EE.2b, 6.EE.2c 8.EE.7b, A.SSE.1a
Adding and subtracting polynomialsA.APR.1
Multiplying polynomials6.EE.3, A.APR.1
Multiplying special cases6.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Dividing by a monomial6.EE.3, A.APR.1
Dividing by binomials and polynomialsA.APR.1, A.SSE.1b, A.SSE.2
Simplifying & evaluating polynomials with more than 1 termF.IF.8
Operations with polynomials6.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Factoring
Greatest Common Factor6.NS.4, A.SSE.1, A.SSE.2, A.SSE.3
Factoring trinomialsA.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Factoring special casesA.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Solving quadratic equations by factoringA.REI.4b
Graphing
The coordinate plane6.RP.3, 6.NS.6, 6.NS.8
Graph linear equationsF.IF.7a, F.IF.4
Finding the slope of a line8.SP.3, S.IS.7, 8.F.3
Writing the equation of a line8.F.3
Parallel and perpendicular linesG.GPE.5
Graphing linear inequalitiesA.REI.12
Systems of equations and inequalities
Graphing systems of equations and inequalitiesA.CED.3, A.REI.6
Graphing systems of inequalitiesA.CED.3
The substitution methodA.REI.6
The elimination methodA.REI.6
Solving systems of three variablesA.REI.6
Worked examples
Real Numbers
Variables and expressions 16.EE.2c, 6.EE.6
Variables and expressions 26.EE.1
Integers 16.NS.5, 6.NS6.c
Integers 26.NS.7
Integers 36.NS.5
Rational and real numbers 1N.RN.3
Rational and real numbers 26.NS.7b
Rational and real numbers 38.NS.1
Rational and real numbers 4 6.NS.7
Adding integers 17.NS.1
Adding integers 27.NS.1
Adding real numbers 17.NS.1
Adding real numbers 27.NS.2
Adding real numbers 3 7.EE.3, 7.EE4
Adding real numbers 4 7.EE.3, 7.EE4
Subtracting real numbers 17.NS.1
Subtracting real numbers 27.NS.1
Subtracting real numbers 37.EE.3, 7.EE4
Multiplying and dividing real numbers 17.NS.2
Multiplying and dividing real numbers 27.NS.2
Multiplying and dividing real numbers 37.NS.2
Multiplying and dividing real numbers 47.NS.2, 7.EE.1, 7.EE.3
Associative, commutative, and distributive properties 13.OA.5, 7.EE.1, 7.NS.1
Associative, commutative, and distributive properties 23.OA.5, 7.EE.1, 7.NS.2
Associative, commutative, and distributive properties 26.EE.3, 7.EE.1, 7.NS.2
Order of operations 13.OA.8, 5.OA.1, 6.EE.2
Order of operations 23.OA.8, 5.OA.1, 6.EE.2
Solving equations and inequalities
Solving one-step equations using properties of equality 16.EE.7
Solving one-step equations using properties of equality 26.EE.7
Solving one-step equations using properties of equality 36.EE.7
Solving multi-step equations 17.EE.3, 7.EE.4
Solving multi-step equations 27.EE.3, 7.EE.4
Solving multi-step equations 37.EE.3, 7.EE.4
Special cases and applications 17.EE.3, 7.EE.4
Special cases and applications 27.EE.3, 7.EE.4
Formulas 16.EE.2
Formulas 25.MD.5
Solving one-step inequalities 16.EE.5, 7.EE.4
Solving one-step inequalities 26.EE.5, 6.EE.8, 7.EE.4, A.CED.1
Solving one-step inequalities 36.EE.5, 6.EE.8, 7.EE.4, A.CED.1
Multi-step inequalities 17.EE.4
Multi-step inequalities 27.EE.4
Compound inequalities 1A.CED.1
Compound inequalities 2A.CED.1
Compound inequalities 3A.CED.1
Compound inequalities 4A.CED.1
Equations and inequalities and absolute value 1A.REI.11
Equations and inequalities and absolute value 2A.REI.11
Equations and inequalities and absolute value 3A.REI.11
Exponents and polynomials
Exponential notation 1N/A, 8.EE.2, F.IF.2, F.IF.8b
Exponential notation 2N/A, 8.EE.2, F.IF.2, F.IF.8b
Exponential notation 3N/A, 8.EE.2, F.IF.2, F.IF.8b
Simplify by using the product, quotient, and power rules 1F.IF.8b
Simplify by using the product, quotient, and power rules 2F.IF.8b
Simplify by using the product, quotient, and power rules 3F.IF.8b, N.RN.1, N.RN.2
Simplify by using the product, quotient, and power rules 4F.IF.8b, N.RN.1, N.RN.2
Products and quotients raised to powers 1A.SSE.2, A.SSE.3, N.RN.2
Products and quotients raised to powers 2A.SSE.2, A.SSE.3, N.RN.2
Products and quotients raised to powers 3A.SSE.2, A.SSE.3, N.RN.2
Scientific notation 18.EE.4
Scientific notation 28.EE.4
Scientific notation 38.EE.4
Scientific notation 48.EE.4
Introduction to single variable polynomials 16.EE.2b, A.SSE.1a
Introduction to single variable polynomials 26.EE.2c
Introduction to single variable polynomials 2N/A, 8.EE.7b,
Adding and subtracting polynomials 1A.APR.1
Adding and subtracting polynomials 2A.APR.1
Adding and subtracting polynomials 3A.APR.1
Multiplying polynomials 16.EE.3, A.APR.1
Multiplying polynomials 26.EE.3, A.APR.1
Multiplying polynomials 36.EE.3, A.APR.1
Multiplying polynomials 46.EE.3, A.APR.1
Special cases16.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Special cases26.EE.3, A.APR.1,A.SSE.1b, A.SSE.2
Dividing by a monomial 16.EE.3, A.APR.1
Dividing by a monomial 26.EE.3, A.APR.1
Dividing by binomials and polynomials 1A.APR.1, A.SSE.1b, A.SSE.2
Dividing by binomials and polynomials 2A.APR.1, A.SSE.1b, A.SSE.2
Simplifying & evaluating polynomials w/ more than 1 term 1F.IF.8
Simplifying & evaluating polynomials w/ more than 1 term 2F.IF.8
Operations with polynomials 16.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Operations with polynomials 26.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Operations with polynomials 36.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Operations with polynomials 46.EE.3, A.APR.1, A.SSE.1b, A.SSE.2
Factoring
Greatest Common Factor 16.NS.4, A.SSE.1, A.SSE.2, A.SSE.3
Greatest Common Factor 26.NS.4, A.SSE.1, A.SSE.2, A.SSE.3
Greatest Common Factor 36.NS.4, A.SSE.1, A.SSE.2, A.SSE.3
Factoring trinomials 1A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Factoring trinomials 2A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Factoring trinomials 3A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Factoring special cases 1A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Factoring special cases 2A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Special cases: Cubes 1A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Special cases: Cubes 2A.REI.4b, A.SSE.1, A.SSE.2, A.SSE.3
Solving quadratic equations by factoring 1 – video is not aligned with title,
Solving quadratic equations by factoring 2A.REI.4b
Solving quadratic equations by factoring 3A.REI.4b
Graphing
The coordinate plane 16.RP.3, 6.NS.6, 6.NS.8
The coordinate plane 26.RP.3, 6.NS.6, 6.NS.8
Graph linear equations 1F.IF.7a
Graph linear equations 2F.IF.7a, F.IF.4,
Graph linear equations 3F.IF.7a, F.IF.4,
Graph linear equations 4F.IF.7a, F.IF.4,
Finding the slope of a line 18.SP.3, S.IS.7,
Finding the slope of a line 28.SP.3, S.IS.7, 8.F.3
Finding the slope of a line 38.SP.3, S.IS.7, 8.F.3
Finding the slope of a line 48.SP.3, S.IS.7, 8.F.3
Writing the equation of a line 18.F.3
Writing the equation of a line 28.F.3
Writing the equation of a line 38.F.3
Writing the equation of a line 48.F.3
Parallel and perpendicular lines 1G.GPE.5
Parallel and perpendicular lines 2G.GPE.5
Graphing linear inequalities 1A.REI.12
Graphing linear inequalities 2A.REI.12
Systems of equations and inequalities
Graphing systems of equations and inequalities 1A.CED.3, A.REI.6
Graphing systems of equations and inequalities 2A.CED.3, A.REI.6
Graphing systems of equations and inequalities 3A.CED.3, A.REI.6
Graphing systems of equations and inequalities 4A.CED.3, A.REI.6
Graphing systems of equations and inequalities 5A.CED.3, A.REI.6
Graphing systems of equations and inequalities 6A.CED.3, A.REI.6
Graphing systems of inequalities 1A.CED.3
Graphing systems of inequalities 2A.CED.3
Graphing systems of inequalities 3A.CED.3
The substitution method 1A.REI.6
The substitution method 2A.REI.6
The substitution method 3A.REI.6
The elimination method 1A.REI.6
The elimination method 2A.REI.6
The elimination method 3A.REI.6
The elimination method 4A.REI.6
Solving systems of three variables 1A.REI.6
Solving systems of three variables 2A.REI.6
Solving systems of three variables 3A.REI.6
Developmental math – Intermediate algebra
NROC Collection
Presentations
Solving equations and inequalities
Compound inequalitiesA.CED.1
Equations and inequalities and absolute value6.NS.7, A.REI.11
Exponents and polynomials
Dividing binomials and polynomialsA.APR.1, A.APR.6
Simplifying and evaluating polynomials with more than one termA.APR.6
Operations with polynomialsA.APR.1
Factoring
Special Cases: cubesA.SSE.2
Graphing
Graphing linear inequalitiesA.CED.3, A.REI.10, A.REI.12,
Systems of equations and inequalities
Graphing systems of inequalitiesA.REI.12
Solving systems of three variablesNot specifically in core A.REI
Rational expressions
Introduction to rational expressionsA.APR.6, A.APR.7, F.IF.1
Multiplying and dividing rational expressionsA.APR
Adding and subtracting rational expressionsA.APR
Complex rational expressionsA.REI.4
Solving rational equations and applicationsA.APR.1
Rational formulas and variationNot specifically in core A.CED.4
Radical expressions and quadratic equations
Roots8.EE.2, F.IF.7, N.RN.1, N.RN.2
Squares, cubes and beyond8.EE.2, F.IF.7, N.RN.1, N.RN.2
Rational exponentsN.RN.1, N.RN.2
Multiplying and dividing radical expressionsA. REI.2
Adding and subtracting radicalsA.REI.2
Multiplication of multiple terms radicalsN.RN.1, N.RN.2, A.REI.2
Rationalizing denominatorsNot specifically in core, A.REI.2
Solving radical equationsA.REI.2
Complex numbersN.CN.8
Operations with complex numbersN.CN.5
Square roots and completing the squareA.SSE.3
The quadratic formulaA.REI.4
Functions
Identifying functionsF.IF.1, F.IF.2, F.IF.3,
Evaluating functionsF.IF.4,
Graphing types of functionsF.IF.1, F.IF.2, F.IF.3, F.IF.4
Finding domain and rangeF.IF.5
Arithmetic operations with functionsF.BF.3
Exponential and logarithmic functions
Introduction to exponential functionsF.LE.1, F.LE.5
Introductions to logarithmic functionsF.LE.4
Properties of logarithmic functionsA.REI.11, F.IF.7
Introduction to natural and common logarithmsNot specifically in core A.REI.11, F.IF.7
Solving exponential and logarithmic equationsA.REI.11, F.IF.7
Mathematical modeling with exponential and logarithmic functionsHigh School – Modeling (*)
Developmental math – Geometry
NROC Collection
Presentations
Figures in 1 and 2 Dimensions4.G.1, 4.G.2, 4.MD.6, 4.MD.7
Properties of Angles4.G.1, 8.G.5, G.CO.9
Triangles8.G.5, 8.G.2, 8.G.5
The Pythagorean Theorem8.G.7, 8.G.8
Quadrilaterals 2.G.1, 3.G.1, 6.G.1, 8.G.2
Perimeter and Area3.MD.8, 4.MD.3, G.GPE.7
Circles4.MD.5, 7.G.4
Solids5.MD.3, 5.MD.4, 5.MD.5, 6.EE.2, 6.G.2, 7.G.6,
Elementary Algebrawas retired on Dec 22, 2013
Algebra 1 – An open course
NROC Collection
Presentations
Algebra – A new angle
Algebra – Everyday and extraordinaryNot specifically in core 6.EE.2
Algebra – Why and whenNot specifically in core
Algebra – Approaching problemsPS1, PS5, PS7, PS8
Solving Linear Equations
Solving equationsK.OA, 1.OA, 2.OA, 2.MD.5, 4.OA, 6.EE.7
Solving multi-step equations7.EE.3, 7.EE.4, 8.EE.7
Writing expressions and equations6.EE.6, 7.EE.2
Solving for a specific variableA.CED.4
Absolute value6.NS.7, 6.NS.8, 7.NS.1, A.REI.11
Absolute value equationsA.REI.11
Functions and Patterns
Inductive patterns3.OA.9, 5.OA.3, 8.SP.1, PS3
Representing Patterns5.G.2, 6.EE.9
Representing functions and relations8.F
Domain and rangeF.IF.5
Proportional functions7.RP.2, 7.RP.3, 8.EE.5
Linear functionsF.IF.7, F.LE.1, F.LE.2, F.LE.5
Non-linear functionsF.IF.7, F.IF.8, F.LE, S.ID.6
Analyze and graph linear equations, functions and relations
Rate of change and slope8.EE.5, 8.SP.3, S.ID.7
Intercepts of linear equationsF.IF.4, F.IF.7,
Graphing equations in slope intercept form8.EE.6
Point slope form and standard form Not specifically in core
of linear equations
Parallel lines4.G.1, 8.G.1, G.CO.1, G.CO.12, G.GPE.5
Perpendicular lines4.G.1, G.CO.1, G.CO.12, G.GPE.5
Analyze, solve, and graph linear inequalities
Writing, solving and graphing inequalities
in one variable6.NS.7, 6.EE.5, 6.EE.8, 7.EE.4, A.CED.1, A.REI.3
Solving and graphing absolute value inequalitiesNot specifically in core
Writing and using inequalities6.EE.8, A.CED.1
Solving and graphing linear inequalities
in two variables7.EE.4, A.REI.10
Systems of linear equations and inequalities
Solving systems of linear equations by graphing8.EE.8
Solving systems of linear equations by substitution8.EE.8
Solving systems of linear equations by elimination8.EE.8
Rate problems7.RP.1, 7.RP.2, 8.EE.5, 8.F.2
Mixture problemsNot specifically in core
Graphing systems of inequalitiesA.CED.3
Radical expressions
Rules of exponents5.NBT.2, 6.EE.1, 8.EE.1, N.RN.1, N.RN.2
Scientific notation8.EE.4
Simplifying expressions with exponentsN.RN.2
Applications of the Pythagorean Theorem8.G.8
Simplifying radical expressionsN.RN.2
Solving radical equationsA.REI.2
Applying radical equationsA.REI.2
Fractional exponentsN.RN.1, N.RN.2
Polynomials
Multiplying and dividing monomialsA.APR.1
PolynomialsA.REI.11, F.LE.3
Adding and subtracting polynomialsA.APR.1
Multiplying polynomialsA.REI.1
Special products of polynomialsNot specifically in core
Factoring
Factoring and the distributive property8.EE.7
Factoring trinomials by grouping 1Not specifically in core
Factoring trinomials by grouping 2Not specifically in core
Factoring special productsNot specifically in core
Solving quadratic equations by factoringF.IF.8
Quadratic functions
Graphing quadratic functionsA.REI.4
Solving quadratic functions by completing
the squareA.REI.4, A.SSE.3
Solving quadratic functions using the
quadratic formulaA.REI.4
Applications of the quadratic formula
Systems of non-linear equations
Rational expressions and equations
Simplifying rational expressions
Multiplying and dividing rational expressions
Adding and subtracting rational expressions
Solving rational equations
Applying rational equations
Extensions and applications
Number sets
Understanding logical statements
Inductive reasoning
Deductive reasoning
Events and outcomes (counting)
Probability of independent events
Permutations and combinations
Probability of dependent events