## Probability and Statistics

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###### Half-credit course

Probability and Statistics is a mathematics course that teaches two related but distinguishable disciplines. Probability is the study of the likelihood that an event will occur. For example, what is the likelihood that you will win a writing contest if there are 3,000 entries? What are the chances that you will land that lead role in the school play if 30 students audition? In statistics, you will practice the science of collecting and analyzing numerical data in order to make decisions. The study of statistics upholds that of probability. You’ve likely worked with both disciplines to varying degrees during your math education.

In this course, you will represent and interpret data using dot plots, histograms, box plots, two-way frequency tables, and scatter plots. You will study normal distributions and distinguish between correlation and causation. You will also determine the conditional probability of two events or whether the events are independent. Using counting techniques and the rules of probability, you will calculate probabilities and use the results to make educated and fair decisions. You will evaluate several data collection techniques and statistical models, including simulations. The course closes with information on how you can use probability models to represent situations arising in everyday life that involve both payoff and risk.

## Mathematical Models with Applications

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###### HALF-CREDIT OPTIONS AVAILABLE: MATH MODELS A, MATH MODELS B

In Mathematical Models with Applications, you will learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. You will use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Along the way, you will select from a variety of tools including manipulatives, technology, and data collection devices. This course takes an integrated approach to mathematics as you further your skills in the disciplines of algebra, geometry, trigonometry, and probability and statistics.

## 5th Grade Math

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Students are introduced to multiplying two-digit numbers by two-digit numbers; practicing long division with and without remainders; adding, subtracting, and multiplying unlike fractions and mixed numbers; developing understanding in performing operations with decimals to hundredths and estimating by rounding. Students will also practice graphing on a coordinate plane and calculating the volume of solid figures.

## 4th Grade Math

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Students will extend understanding of place value to multi-digit numbers and fluently add and subtract multi-digit numbers; develop understanding of dividing to find quotients involving multi-digit dividends; develop understanding of fraction equivalence, addition, and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers.

## 3rd Grade Math

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Students will extend understanding of place value of multi-digit numbers to 1000 and fluently add and subtract multi-digit numbers to 1000; develop competency in multiplication and division and strategies for multiplication and division within 100; develop understanding of the structure of rectangular arrays and of area; develop understanding of fractions as numbers, especially unit fractions.

## 2nd Grade Math

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Students will extend their knowledge of addition and subtraction to two-digit numbers. They will develop understanding of addition, subtraction, and strategies for addition and subtraction within 20, develop competency of whole number relationships and place value, including grouping in tens and ones through 100, and develop understanding of linear measurement. They will also explore measurement, charts, graphs, time, money, and solid shapes.

## 1st Grade Math

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Students will extend their knowledge of addition and subtraction to two-digit numbers. They will develop understanding of addition, subtraction, and strategies for addition and subtraction within 20, develop competency of whole number relationships and place value, including grouping in tens and ones through 100, and develop understanding of linear measurement. They will also explore measurement, charts, graphs, time, money, and solid shapes.