Hlavní obsah
Math
Virginia Math
Algebra 2: Statistics
Formulate investigative questions that require the collection or acquisition of a large set of univariate quantitative data or summary statistics of a large set of univariate quantitative data and investigate questions using a data cycle.
(Content unavailable)
Collect or acquire univariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.
(Content unavailable)
Examine the shape of a data set (skewed versus symmetric) that can be represented by a histogram, and sketch a smooth curve to model the distribution.
(Content unavailable)
Identify the properties of a normal distribution.
(Content unavailable)
Describe and interpret a data distribution represented by a smooth curve by analyzing measures of center, measures of spread, and shape of the curve.
(Content unavailable)
Calculate and interpret the 𝑧-score for a value in a data set.
(Content unavailable)
Compare two data points from two different distributions using 𝑧-scores.
(Content unavailable)
Determine the solution to problems involving the relationship of the mean, standard deviation, and 𝑧-score of a data set represented by a smooth or normal curve.
(Content unavailable)
Apply the Empirical Rule to answer investigative questions.
(Content unavailable)
Compare multiple data distributions using measures of center, measures of spread, and shape of the distributions.
Formulate investigative questions that require the collection or acquisition of bivariate data and investigate questions using a data cycle.
(Content unavailable)
Collect or acquire bivariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.
(Content unavailable)
Represent bivariate data with a scatterplot using technology.
(Content unavailable)
Determine whether the relationship between two quantitative variables is best approximated by a linear, quadratic, exponential, or a combination of these functions.
Determine the equation(s) of the function(s) that best models the relationship between two variables using technology. Curves of best fit may include a combination of linear, quadratic, or exponential (piecewise-defined) functions.
(Content unavailable)
Use the correlation coefficient to designate the goodness of fit of a linear function using technology.
(Content unavailable)
Make predictions, decisions, and critical judgments using data, scatterplots, or the equation(s) of the mathematical model.
(Content unavailable)
Evaluate the reasonableness of a mathematical model of a contextual situation.
(Content unavailable)
Compare and contrast permutations and combinations to count the number of ways that events can occur.
Calculate the number of permutations of 𝑛 objects taken 𝑟 at a time.
Calculate the number of combinations of 𝑛 objects taken 𝑟 at a time.
Use permutations and combinations as counting techniques to solve contextual problems.
- Combination example: 9 card hands
- Combination formula
- Combinations
- Example: Different ways to pick officers
- Example: Lottery probability
- Factorial and counting seat arrangements
- Handshaking combinations
- Intro to combinations
- Mega millions jackpot probability
- Permutation formula
- Permutations
- Possible three letter words
- Probability using combinations
- Probability with permutations and combinations
- Ways to arrange colors
- Ways to pick officers
Calculate and verify permutations and combinations using technology.
- Combination example: 9 card hands
- Combination formula
- Combinations
- Example: Different ways to pick officers
- Example: Lottery probability
- Factorial and counting seat arrangements
- Handshaking combinations
- Intro to combinations
- Mega millions jackpot probability
- Permutations
- Possible three letter words
- Probability using combinations
- Probability with permutations and combinations
- Ways to arrange colors
- Ways to pick officers
- Zero factorial or 0!