1
Expressions
18 lessonsNumber sentences with letters in them, and the rules for rewriting them.
1.1Using a letter for the unknown numberGrade 3
1.2Combining like termsMath 7
1.3Evaluating expressions and formulasMath 6
1.4Expression, equation and inequalityMath 6
1.5Expressions
1.6Terms, coefficients and constantsMath 6
1.9Variables
1.10What a letter stands forMath 6
1.12Distribute, then combineMath 7
1.14Monomials and the exponent rulesMath 8
1.15Multiplying two binomialsAlgebra 1
1.16Factoring out the greatest common factorMath 7
1.17Interpreting the parts of an expressionAlgebra 1
1.18Factoring by groupingAlgebra 1
2
Linear equations
12 lessonsFinding the number that makes a statement true, when the unknown is not raised to a power.
2.2What a solution is, and checking oneMath 6
2.4One-step equationsMath 6
2.5Two-step equationsMath 7
2.8Multi-step equationsMath 8
2.12Absolute value equationsAlgebra 1
3
Inequalities
11 lessonsStatements about greater and less, whose solutions are whole stretches of the line.
3.1Inequalities
3.2Inequalities on the number lineMath 6
3.6Two-step inequalitiesMath 7
3.7Compound inequalities: and, orAlgebra 1
3.8Multi-step inequalitiesAlgebra 1
3.9Interval and set-builder notationAlgebra 1
3.10Absolute value inequalitiesAlgebra 1
3.11Polynomial and rational inequalities with sign chartsPrecalculus
4
Linear relationships
16 lessonsStraight lines: constant rate, and every way of writing one.
4.3Rate of changeMath 8
4.4Slope
4.5Slope from a graph or a tableMath 8
4.7Direct variationMath 8
4.8Modeling with linear relationshipsMath 8
4.9Slope-intercept formMath 8
4.10Graphing a line from its equationMath 8
4.12Parallel and perpendicular linesMath 8
4.13Standard form of a lineMath 8
4.15Slopes of perpendicular linesGeometry
5
Systems of equations
12 lessonsTwo conditions at once, and the point that satisfies both.
5.2Solving systems by graphingMath 8
5.3Solving systems by substitutionMath 8
5.4Solving systems by eliminationMath 8
5.5Systems in word problemsMath 8
5.6Graphing a linear inequality in two variablesAlgebra 1
5.8The overlap of two shaded regionsAlgebra 1
5.9Writing and interpreting constraintsAlgebra 1
5.10Linear programmingAlgebra 2
5.11Systems with a curveAlgebra 1
5.12Systems in three variablesAlgebra 2
6
Polynomials
17 lessonsSums of powers of a variable, and how they add, multiply and factor.
6.1Polynomials
6.2Degree, terms and standard formAlgebra 1
6.3Special productsAlgebra 1
6.4Adding and subtracting polynomialsAlgebra 1
6.5Multiplying polynomialsAlgebra 1
6.6Polynomial long divisionAlgebra 2
6.8Factoring when the leading coefficient is oneAlgebra 1
6.9Factoring special patternsAlgebra 1
6.10Factoring when the leading coefficient is not oneAlgebra 1
6.11Factoring completely and choosing a strategyAlgebra 1
6.12Proving polynomial identitiesAlgebra 2
6.14Synthetic divisionAlgebra 2
6.15The remainder and factor theoremsAlgebra 2
6.16The fundamental theorem of algebraAlgebra 2
6.17The rational root theoremAlgebra 2
7
Quadratics
21 lessonsExpressions and equations where the variable is squared, and the parabolas they draw.
7.1Quadratics
7.2Roots, zeros and x-interceptsAlgebra 1
7.3Graphing from standard formAlgebra 1
7.5The shape of a parabolaAlgebra 1
7.6The vertex and the axis of symmetryAlgebra 1
7.7What makes an expression quadraticAlgebra 1
7.8Solving quadratics by factoringAlgebra 1
7.9Solving quadratics with square rootsAlgebra 1
7.10Completing the squareAlgebra 1
7.12Vertex form: reading, converting and graphingAlgebra 1
7.13Using the quadratic formulaAlgebra 1
7.14Maximum, minimum and projectile problemsAlgebra 1
7.15The discriminant and the number of real solutionsAlgebra 1
7.16The discriminantAlgebra 2
7.17Quadratic inequalitiesAlgebra 2
7.18Completing the square, leading coefficient not oneAlgebra 1
7.19Deriving the quadratic formulaAlgebra 1
7.20Factored formAlgebra 1
7.21Fitting a quadratic to dataAlgebra 2
8
Sequences and series
11 lessonsLists of numbers with a rule, and what happens when you add them up.
8.1Repeating patternsKindergarten
8.2Number and shape patterns from a ruleGrade 4
8.4Sequences, terms and notationAlgebra 1
8.5Arithmetic sequences and the explicit formulaAlgebra 1
8.6Geometric sequences and the explicit formulaAlgebra 1
8.7Recursive formulasAlgebra 1
8.8Sigma notationAlgebra 2
8.9Arithmetic series and partial sumsAlgebra 2
8.10Geometric seriesAlgebra 2
8.11Infinite geometric seriesAlgebra 2
9
Radicals and rational expressions
12 lessonsRoots and fractions with variables in them.
9.1Operations with radicalsAlgebra 1
9.3Simplifying a square rootAlgebra 1
9.5Rationalizing a denominatorAlgebra 1
9.6Adding and subtracting rational expressionsAlgebra 2
9.7Multiplying and dividing rational expressionsAlgebra 2
9.9Solving radical equationsAlgebra 2
9.10Solving a rational equationAlgebra 2
9.12Inverse, joint and combined variationAlgebra 2