Common Core Math

Common Core Math/ACT Math

ACT Math

153 topics · 16 with slides

I
Algebra
1. Exponential and Absolute Value
  1. Absolute value equations and inequalitiescoming soon
  2. Exponential equations and growth/decaycoming soon
2. Linear Expressions, Equations, and Inequalities
  1. Graphing linear equations and inequalitiescoming soon
  2. Interpreting slope and intercept in contextcoming soon
  3. Parallel and perpendicular line slopescoming soon
  4. Slope-intercept, point-slope, and standard formscoming soon
  5. Solving linear equations and inequalitiescoming soon
  6. Writing linear equations from word problemscoming soon
3. Polynomial Expressions and Equations
  1. Adding, subtracting, multiplying polynomialscoming soon
  2. Discriminant and nature of rootscoming soon
  3. Factoring (GCF, grouping, trinomials, difference of squares, sum/difference of cubes)coming soon
  4. Higher-degree polynomial equationscoming soon
  5. Solving quadratics (factoring, formula, completing the square)coming soon
4. Rational and Radical Expressions and Equations
  1. Simplifying and operating with rational expressionscoming soon
  2. Solving radical equations (extraneous solutions)coming soon
  3. Solving rational equationscoming soon
5. Sequences and Variation
  1. Arithmetic sequences and seriescoming soon
  2. Direct, inverse, and joint variationcoming soon
  3. Geometric sequences and seriescoming soon
6. Systems of Equations and Inequalities
  1. No-solution and infinite-solution systemscoming soon
  2. Solving systems (substitution, elimination, graphing)coming soon
  3. Solving systems via matricescoming soon
  4. Systems of linear inequalitiescoming soon
II
Functions
1. Exponential Functions
  1. Exponential growth and decaycoming soon
  2. Interpreting parameters and asymptotic behaviorcoming soon
2. Function Fundamentals
  1. Definition and vertical line testcoming soon
  2. Domain and rangecoming soon
  3. Function notation and evaluationcoming soon
3. Function Operations and Inverses
  1. Adding, subtracting, multiplying, dividing functionscoming soon
  2. Finding and verifying inverse functionscoming soon
  3. Function composition f(g(x))coming soon
4. Linear Functions
  1. Graphing and interpreting linear functionscoming soon
  2. Rate of change and interceptscoming soon
5. Logarithmic Functions
  1. Common and natural logarithmscoming soon
  2. Definition as inverse of exponentialcoming soon
  3. Properties of logarithms (product, quotient, power)coming soon
  4. Solving logarithmic equationscoming soon
6. Polynomial Functions
  1. End behavior and degreecoming soon
  2. Zeros from factored form and turning pointscoming soon
7. Quadratic Functions
  1. Graphing parabolascoming soon
  2. Standard, vertex, and factored formscoming soon
  3. Vertex, axis of symmetry, intercepts, max/mincoming soon
8. Radical and Piecewise Functions
  1. Graphing square root and cube root functionscoming soon
  2. Piecewise-defined and step functionscoming soon
9. Transformations
  1. Combining multiple transformationscoming soon
  2. Stretches, compressions, and reflectionscoming soon
  3. Vertical and horizontal shiftscoming soon
III
Geometry
1. Angles and Lines
  1. Angle classification and measurementcoming soon
  2. Angles from parallel lines cut by a transversalcoming soon
  3. Complementary, supplementary, and vertical anglescoming soon
  4. Perpendicular linescoming soon
2. Circles
  1. Arc length and sector areacoming soon
  2. Central and inscribed anglescoming soon
  3. Circumference and area
  4. Equation of a circle in standard formcoming soon
  5. Radius, diameter, chord, secant, tangentcoming soon
  6. Tangent-radius perpendicularitycoming soon
3. Conic Sections
  1. Equations of circlescoming soon
  2. Equations of ellipses (recognition and basic properties)coming soon
  3. Equations of hyperbolas (recognition and basic properties)coming soon
  4. Equations of parabolascoming soon
4. Coordinate Geometry
  1. Distance formula
  2. Finding points of intersectioncoming soon
  3. Midpoint formulacoming soon
  4. Slope and equations of linescoming soon
5. Polygons and Quadrilaterals
  1. Area and perimeter of quadrilaterals and polygonscoming soon
  2. Interior and exterior angle sums of polygonscoming soon
  3. Properties of parallelograms, rectangles, rhombi, squarescoming soon
  4. Properties of trapezoids and kitescoming soon
  5. Regular polygon propertiescoming soon
6. Solid Geometry
7. Transformations
  1. Compositions and congruence vs similarity transformationscoming soon
  2. Dilations and scale factorscoming soon
  3. Lines of symmetrycoming soon
  4. Translations, reflections, rotationscoming soon
8. Triangles
  1. Area and perimeter of triangles
  2. Classification by sides and anglescoming soon
  3. Properties of isosceles trianglescoming soon
  4. Pythagorean theorem
  5. Special right triangles: 30-60-90 and 45-45-90coming soon
  6. Triangle angle sum and exterior angle theoremcoming soon
  7. Triangle congruence criteria (SSS, SAS, ASA, AAS)coming soon
  8. Triangle inequality theoremcoming soon
  9. Triangle similarity criteria (AA, SAS, SSS) and proportional sides
9. Trigonometry
  1. Degree-radian conversioncoming soon
  2. Double-angle and sum/difference formulas (basic awareness)coming soon
  3. Graphs of sin, cos, tan (amplitude, period, phase shift)
  4. Law of Cosines
  5. Law of Sines
  6. Pythagorean identity and basic trig identities
  7. Reciprocal trig functions (csc, sec, cot)
  8. Solving right triangles with trig ratioscoming soon
  9. Trigonometric ratios (SOH-CAH-TOA)coming soon
  10. Unit circle values (key angles)coming soon
IV
Integrating Essential Skills
1. Applied Arithmetic
  1. Estimation and mental mathcoming soon
  2. Multi-step computation with whole numbers, fractions, decimalscoming soon
2. Applied Measurement
  1. Area of basic shapes in applied contextscoming soon
  2. Perimeter and circumference in applied contextscoming soon
  3. Surface area and volume in applied contextscoming soon
3. Percentages
  1. Calculating percentagescoming soon
  2. Percent increase, decrease, and successive changescoming soon
  3. Tax, tip, discount, markup, commissioncoming soon
4. Ratios, Rates, and Proportions
  1. Scale factors and scale drawingscoming soon
  2. Setting up and solving proportionscoming soon
  3. Unit conversion and dimensional analysiscoming soon
  4. Unit rates and rate problemscoming soon
V
Number & Quantity
1. Complex Numbers
  1. Arithmetic with complex numberscoming soon
  2. Complex conjugatescoming soon
  3. Imaginary unit i and standard form a + bicoming soon
  4. Powers of i (cyclical pattern)coming soon
2. Exponents and Radicals
  1. Integer exponent rulescoming soon
  2. Rational (fractional) exponentscoming soon
  3. Scientific notationcoming soon
  4. Simplifying and operating with radicalscoming soon
3. Operations
  1. Arithmetic with whole numbers, decimals, fractions, integerscoming soon
  2. Equivalent fractions, mixed numbers, simplificationcoming soon
  3. Order of operationscoming soon
4. Real Number System
  1. Absolute value and distance on the number linecoming soon
  2. Classifying numbers (natural, whole, integer, rational, irrational)coming soon
  3. Ordering and comparing real numberscoming soon
  4. Properties of real numbers (commutative, associative, distributive)coming soon
5. Vectors and Matrices
  1. Determinants (2x2)coming soon
  2. Magnitude and unit vectorscoming soon
  3. Matrices for systems of equationscoming soon
  4. Matrix operations (add, subtract, scalar multiply, multiply)coming soon
  5. Vector notation, addition, subtraction, scalar multiplicationcoming soon
VI
Statistics & Probability
1. Bivariate Data and Correlation
  1. Correlation vs causationcoming soon
  2. Making predictions from data and modelscoming soon
  3. Positive, negative, and no correlationcoming soon
2. Counting Techniques
  1. Combinations
  2. Fundamental counting principlecoming soon
  3. Permutations
3. Data Collection Methods
  1. Identifying bias in data collectioncoming soon
  2. Observational studies vs experimentscoming soon
  3. Sampling methods (random, stratified, cluster, convenience)coming soon
4. Data Representation and Interpretation
  1. Bar graphs, histograms, line graphs, pie chartscoming soon
  2. Scatterplots and trend linescoming soon
  3. Stem-and-leaf plots and box plotscoming soon
  4. Tables, frequency tables, two-way tablescoming soon
5. Measures of Center and Spread
  1. Effects of outliers on measurescoming soon
  2. Mean, median, modecoming soon
  3. Range, IQR, standard deviation (conceptual)coming soon
  4. Weighted averagecoming soon
6. Probability
  1. Basic probability of single eventscoming soon
  2. Complementary eventscoming soon
  3. Compound events (and/or)coming soon
  4. Conditional probabilitycoming soon
  5. Discrete random variables and expected valuecoming soon
  6. Independent and dependent eventscoming soon
  7. Probability from two-way tablescoming soon

Common Core Mathematics