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Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
7 Chapter 9: Hypothesis Testing
In this chapter, students will learn how to perform a hypothesis test and interpret its results.
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.
4 Chapter 7: Sampling Distributions
In this chapter, students will describe and model variability using population and sampling distributions.
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.
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.
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.
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.
9 Chapter 6: Probability
In this chapter, students explore probability and random variables.
6 Chapter 4: Representing Quantitative Data
In this chapter, we explore different ways to display quantitative data, and draw conclusions based on the representations.
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.
6 Chapter 5: Measuring Center and Spread
In this chapter, students will learn multiple measures for center and spread, and will be introduced to the normal distribution and the empirical rule.
11 OnTRACK Grade 8 Math: Proportionality
Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.
6 OnTRACK Algebra I: Properties and Attributes of Functions
Students will learn how to use the properties and attributes of functions.
10.02 Confidence Interval for Two Independent Means
In this video, students learn to interpret a confidence interval for two independent means.
10.03 Hypothesis Test for Two Independent Means
In this video, students learn to interpret the results of a hypothesis test for two independent means.
10.04 Confidence Interval for Two Independent Proportions
In this video, students learn to interpret a confidence interval for two independent proportions.
10.05 Hypothesis Test for Two Independent Proportions
In this video, students learn to interpret the results of a hypothesis test for two independent proportions.
3.01 Frequency Tables
In this video, students learn about frequency and relative frequency tables.
3.02 Joint, Marginal, and Conditional Frequencies
In this video, students will expand their knowledge of frequency tables to two-way tables and several frequency and probability definitions.