High School Math Courses - Common Core Curriculum
Discover Common Core high school math courses focusing on consumer math, statistics, and probability. Explore essential concepts and prepare for academic success with our comprehensive curriculum guide.
High School Math Courses - Common Core Curriculum
Common Core IDStandardStudyPug Topic
- CC.HSN.Q.A.1Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
- Metric systems
- Imperial systems
- Scale diagrams
- Conversions involving squares and cubic
- CC.HSN.Q.A.2Define appropriate quantities for the purpose of descriptive modeling.
- Conversions between metric and imperial systems
- Squares and square roots
- Pythagorean theorem
- Estimating square roots
- Using the pythagorean relationship
- Applications of pythagorean theorem
- CC.HSN.Q.A.3Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
- Upper and lower bound
- Cubic and cube roots
- Ratios
- Rates
- Proportions
- Percents, fractions, and decimals
- CC.HSA.SSE.A.1Interpret expressions that represent a quantity in terms of its context.
- What is a polynomial?
- Applications of linear equations
- CC.HSA.CED.A.1Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
- Introduction to linear equations
- Solving rational equations
- Solving exponential equations using exponent rules
- CC.HSF.IF.B.6Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
- Rate of change
- Direct variation
- CC.HSF.BF.A.1Write a function that describes a relationship between two quantities.
- Applications of linear relations
- Finding an exponential function given its graph
- Finding a logarithmic function given its graph
- CC.HSF.LE.A.1Distinguish between situations that can be modeled with linear functions and with exponential functions.
- Introduction to nonlinear equations
- Solving exponential equations using exponent rules
- Exponential decay: Half-life
- Exponential growth and decay by percentage
- CC.HSF.LE.B.5Interpret the parameters in a linear or exponential function in terms of a context.
- Exponential growth and decay by a factor
- Finance: Compound interest
- Continuous growth and decay
- Logarithmic scale: Richter scale (earthquake)
- Logarithmic scale: pH scale
- Logarithmic scale: dB scale
- Finance: Future value and present value
- CC.HSG.GMD.A.3Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
- Surface area and volume of pyramids
- CC.HSG.MG.A.2Apply concepts of density based on area and volume in modeling situations.
- Word problems of polynomials
- CC.HSS.ID.A.1Represent data with plots on the real number line (dot plots, histograms, and box plots).
- Reading and drawing histograms
- Box-and-whisker plots and scatter plots
- Frequency tables and dot plots
- Frequency distribution and histograms
- CC.HSS.ID.A.2Use 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.
- Median and mode
- Mean
- Range and outliers
- Center of a data set: mean, median, mode
- Spread of a data set - standard deviation & variance
- CC.HSS.ID.A.3Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
- Application of averages
- Shapes of distributions
- CC.HSS.ID.B.6Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
- Reading and drawing line graphs
- Bivariate, scatter plots and correlation
- CC.HSS.ID.C.7Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
- Slope intercept form: y = mx + b
- Rate of change
- Regression analysis
- CC.HSS.IC.A.1Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
- Sampling methods
- CC.HSS.IC.B.4Use 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.
- Margin of error
- Confidence intervals to estimate population mean
- Making a confidence interval
- CC.HSS.IC.B.6Evaluate reports based on data.
- Influencing factors in data collection
- CC.HSS.CP.A.1Describe 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").
- Introduction to probability
- Organizing outcomes
- Set notation
- Set builder notation
- Intersection and union of 2 sets
- Intersection and union of 3 sets
- CC.HSS.CP.A.2Understand 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.
- Probability of independent events
- Multiplication rule for
- Probability of independent events
- CC.HSS.MD.A.2Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
- Properties of expectation