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45-45-90 Triangles

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

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Mendelian Genetics Using Monohybrids

Students will work collaboratively through a fictitious, real-world scenario to determine the probability of each breeding pair of dogs producing offspring with the desired trait for a fictitious client.

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Proving an Ecosystem’s Health Through Succession

**Students engage in viewing day three of ecosystem changes in lab groups to determine if the ecosystem is healthy or unhealthy based on scientific data and factors. **

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Demonstration and Analysis of Dihybrid Crosses

The students will review related vocabulary, watch the teacher model a dihybrid cross, and then perform a dihybrid cross and answer questions about the outcomes with a partner.

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6.08 Bonus Video: Law of Sines—The Ambiguous Case

The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.

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7 Chapter 9: Hypothesis Testing

In this chapter, students will learn how to perform a hypothesis test and interpret its results.

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3 Chapter 1: Exploring Data

In this chapter, we introduce statistics, how it is used, and the types of data we come across in real life.

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4 Chapter 7: Sampling Distributions

In this chapter, students will describe and model variability using population and sampling distributions.

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7 Chapter 8: Confidence Intervals

In this chapter, students will learn how to construct and interpret a confidence interval for a population mean and a population proportion.

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5 Chapter 10: Comparing Two Groups

In this chapter, students interpret confidence intervals and the results of hypothesis tests for the difference between two means and the difference between two proportions.

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5 Chapter 3: Representing Categorical Data

In this chapter, we explore the different ways to display categorical data and draw conclusions based on the representations.

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8 Chapter 2: Data Collection, Sampling, and Experimental Design

In this chapter, we explore various methods of data collection and potential problems that may occur when collecting data.

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9 Chapter 6: Probability

In this chapter, students explore probability and random variables.

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8 Chapter 5: Introduction to Trigonometry and Graphs

In this chapter, we will explore angle measures and the trigonometric ratios, including graphing and inverses.

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5 Chapter 7: Sequences and Series

In this chapter, we introduce sequences and series, some of their applications, and the Binomial Theorem.

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3 Chapter 4: Systems of Equations

In this chapter, we will explore the methods used to solve systems of equations, and real-world situations involving systems of equations.

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6 Chapter 2: Polynomial and Rational Functions

In this chapter, we will explore beyond linear functions and learn about polynomial and rational functions.

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6 Chapter 4: Representing Quantitative Data

In this chapter, we explore different ways to display quantitative data, and draw conclusions based on the representations.

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7 Chapter 11: Exploring Bivariate Data

In this chapter, students explore the relationship between two quantitative variables. Students will analyze scatterplots for strength, direction, and form; interpret the correlation coefficient; determine the line of best fit using least-squares regression; use the line of best fit to make predictions for a value of *y* given a value of *x*; interpret the slope and the *y*-intercept; learn about alternative methods of finding the line of best fit, including the median-median line and the absolute value line; and identify outliers and influential points and their effects on the regression line and correlation coefficient.