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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.
Using Theoretical and Experimental Probability to Make Predictions
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
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.
4 OnTRACK Grade 7 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.
7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships
Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
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.
Introduction to Logical Reasoning
This activity provides the opportunity to explore the validity of the converse, inverse, and contrapositive of statements. It also assists in recognizing the connections between biconditional statements and true conditional statements with a true converse.
Introduction to Probability
This activity provides the opportunity to explore the difference between finding the probability of independent events and dependent events. It also addresses how to use a tree diagram when calculating conditional probabilities.
Estimating and Finding Solutions to Problems Involving Similarity and Rates
Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.