 # DIY (Do-It Yourself) Reviews

DIY Reviews are a free collection of resources comprised of videos and practice problems to help you review specific math skills that you may have learned but don't remember well.  Click on any of the following topics to polish your skills.

Types of numbers, ordering numbers, arithmetic with integers, order of operations, absolute value, decimal place value, rounding

Finding prime factors, factor trees, exponent notation, least common multiple (LCM), greatest common factor (GCF)

Introduction to fractions, ordering and comparing fractions, simplifying, arithmetic with fractions

Mixed numbers, improper fractions, arithmetic with mixed numbers, percentages, converting fractions to decimals, decimal arithmetic

Division basics, long division with 1- and 2-digit divisors, long division with decimals.

Introduction to exponents, exponents in algebra, laws of exponents

Points, lines, planes, angles and their measurement, triangles, quadrilaterals, polygons, perimeter and area, circles, circumference and area, volume. Parallel lines, similar triangles, Pythagorean Theorem, 30-60-90 triangles, isosceles right triangles, area of quadrilaterals, solids and nets, equation of a line, transformations on the coordinate plane. These topics are also covered in the Geometry Review workshops

Introduction to scientific notation, arithmetic using scientific notation

Basics of significant digits, arithmetic with correct significant digits, which zeros are significant, why use significant digits, exact numbers vs. measured numbers.

Introduction, dimensional analysis with one unit and with multiple units and conversion factors, converting units of area and volume, drug dosage calculation, tables of common conversion factors

Terminology, magnitude and direction, graphical representation, component form, scalar multiples, adding in both graphical and component form, unit vectors, three-dimensional vectors- notation and applications, dot product, cross product, work and torque applications.

Introduction, solving using addition/subtraction, solving using multiplication/division, solving with simplification. Applications: distance, mixture, and work problems. Solving literal equations

Introduction to inequalities, graphing on number line, solving linear inequalities, interval notation, compound inequalities, absolute value equations and inequalities

Introduction to quadratic equations, solving by factoring, square root property, completing the square, quadratic formula, using the discriminant, applications

Review of exponent properties, applying exponent rules, negative and fractional exponents, simplifying expressions with negative exponents, rational exponents and radical form, simplifying radicals.

Logarithm basics, solving logarithmic equations, solving exponential equations, graphing exponential and logarithmic functions

Graphing points and lines on a coordinate plane, slope of a line, graphing lines, parallel and perpendicular lines, finding equations of lines, point-slope form, slope-intercept form, standard form, equations of horizontal and vertical lines

Greatest Common Factor (GCF), factoring binomials using the GCF, factoring by grouping, factoring trinomials by trial and error, factoring trinomials using grouping, factoring difference of squares, factoring perfect square trinomials, factoring sum or difference of cubes

Review of long division, dividing a polynomial by a monomial, dividing by a binomial, dividing polynomials, synthetic division

Solving systems of linear equations by graphing, by substitution, and by elimination, classifying systems as consistent/inconsistent or dependent/independent, solving systems with three variables by elimination, applications of linear systems.

Introduction to functions, domain and range, even and odd functions, intercepts, increasing/decreasing intervals, nine basic functions and their graphs, transformations.

Graphs of basic functions, piecewise functions, horizontal and vertical translations, greatest integer function, vertical and horizontal stretch/shrink, reflections

Graphing quadratic functions, increasing/decreasing intervals, maxima/minima, graphing higher degree polynomials, finding a function from its graph, finding zeros of polynomials

Introduction, vertical asymptotes and holes, horizontal asymptotes, slant or oblique asymptotes, introduction to graphing rational functions, graphing using transformations

Basics of inverse functions, finding the inverse function, inverses of rational functions, inverse of radical functions, composition of functions and how it applies to inverses.

Introduction to conic sections, parabolas, ellipse, hyperbola, circle, determining conic from general form, eccentricity.

Introduction to matrices, matrix addition, scalar multiples, equality of matrices, matrix multiplication, identity matrix, transpose of a matrix, determinant, inverse, solving systems of equation using matrix inverse and Cramer's rule methods

Explanation of Gaussian elimination, Gaussian elimination using matrices, Gauss-Jordan elimination method, dependent and inconsistent systems of equations.

Radians and degrees, conversion between radians/degrees, arc length, area of a sector, linear and angular velocity, Pythagorean theorem, basic trigonometric ratios, unit circle and circular functions, reciprocal trig functions, special triangles, using a calculator to find trig function values, solving right triangles, application of trig ratios

Unit circle, values of sine and cosine for special angles, graphs of sine and cosine functions, graphs of tangent functions, graphs of secant and cosecant functions, finding equations for trigonometric functions from graphs, graph of inverse trig functions.

Co-function identities, Pythagorean identities, sum and difference and double angle identities, half angle identities, power-reducing identities, product-to-sum identities, verifying identities, solving trigonometric equations, summary list of trig identities

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Call or Text: (630) 942-3940
Email: learningcommons@cod.edu

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Technical Education Center (TEC), Room 1016B, (630) 942-3960

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(630) 942-3339 