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Discrete Mathematics Help | Ohio High School Math TutorHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CC.HSS.CP.B.9 | Use permutations and combinations to compute probabilities of compound events and solve problems. |
CC.HSS.CP.A.1 | Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events ("or," "and," "not"). |
CC.HSS.CP.A.2 | Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. |
CC.HSS.CP.A.3 | Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. |
CC.HSS.CP.A.5 | Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. |
CC.HSS.MD.A.1 | Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. |
CC.HSS.MD.A.2 | Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. |
CC.HSS.MD.A.3 | Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. |
CC.HSS.MD.B.7 | Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). |
CC.HSF.IF.A.1 | Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). |
CC.HSF.IF.A.2 | Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. |
CC.HSF.IF.A.3 | Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. |
CC.HSF.IF.B.5 | Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. |
CC.HSF.BF.A.2 | Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. |
CC.HSF.BF.B.4 | Find inverse functions. |
CC.HSF.LE.A.2 | Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). |
CC.HSA.SSE.B.4 | Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. |
CC.HSN.VM.C.6 | Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network. |
CC.HSN.VM.C.9 | Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties. |
CC.HSN.VM.C.10 | Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse. |
CC.HSN.VM.C.11 | Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors. |
CC.HSA.REI.C.8 | Represent a system of linear equations as a single matrix equation in a vector variable. |
CC.HSA.REI.C.9 | Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater). |
CC.HSS.ID.A.2 | Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. |
CC.HSS.ID.A.3 | Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). |
CC.HSS.IC.A.1 | Understand statistics as a process for making inferences about population parameters based on a random sample from that population. |
CC.HSS.IC.B.3 | Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. |
CC.HSS.IC.B.4 | Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. |
CC.HSN.VM.A.1 | Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes. |
CC.HSN.VM.A.2 | Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. |
CC.HSN.VM.B.4 | Add and subtract vectors. |
CC.HSN.VM.B.5 | Multiply a vector by a scalar. |
Complete Discrete Mathematics Coverage
Video Lessons
83
Practice Questions
707
Topics Covered
805
Ohio Standards
100%
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Everything you need to know about mastering Discrete Mathematics with StudyPug
What does Discrete Mathematics coverage include?
Our Discrete Mathematics course covers all 84 topics aligned with Ohio standards, including probability and combinatorics (permutations, combinations, probability distributions), set theory and logic, matrices and vectors, functions and sequences, and statistics. You'll get 707 video lessons and 909 practice questions covering everything from permutations to binomial distributions to matrix operations.
How does photo search work for Discrete Math problems?
Just snap a photo of any Discrete Math problem from your homework or textbook, and our AI instantly finds the exact video lesson that teaches that concept. It works for probability problems, matrix equations, set theory proofs, vector operations—any Discrete Math topic. You'll get step-by-step explanations from certified teachers within seconds.
How many practice problems are available for Discrete Mathematics?
You get unlimited access to 909 practice questions covering all Discrete Math topics, from permutations and combinations to matrix operations to probability distributions. Every question includes step-by-step solutions so you can see exactly where you went wrong and learn from your mistakes. Practice as much as you need until concepts stick.
What if I'm falling behind in Discrete Mathematics?
StudyPug makes catching up easy. Start with any topic you're struggling with—whether it's probability, set theory, or matrices. Watch video lessons at your own pace, pause and rewatch as needed, then practice until you master it. Our adaptive practice identifies your weak spots and focuses on what you need most. Thousands of Ohio students have caught up and gotten ahead.
Does StudyPug help with Discrete Mathematics exams?
Yes! Every lesson aligns with Ohio Discrete Mathematics standards, so you're learning exactly what's on your tests. Practice with questions similar to what you'll see on quizzes, unit tests, and End-of-Course exams. Our step-by-step solutions teach you problem-solving strategies that work on any test. Students typically see grade improvements within the first month.
How much does StudyPug cost?
StudyPug offers flexible monthly and annual plans starting at just a few dollars per day—less than a single tutoring session. You get unlimited access to all 707 Discrete Mathematics video lessons, 909 practice questions, photo search, and progress tracking. Plans include a money-back guarantee, so you can try it risk-free. Check our pricing page for current offers.
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