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Defining Similarity
Given similar figures, the student will use critical attributes to define similarity.
Generalizing Proportions from Similar Figures
Given a pair of similar figures, including dilations, students will be able to generalize that the lengths of corresponding sides are proportional.
Graphing Proportional Relationships
Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.
Analyzing Scatterplots
Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.
Writing Geometric Relationships
Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Exploring Probability with Independent Events
Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.
Making Inferences and Convincing Arguments about Samples and Populations
Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.
Selecting and Using Appropriate Operations to Solve Problems
Given problem situations involving rational numbers, the student will select and use appropriate methods to solve the problems.
Selecting and Using Appropriate Operations
Given problem situations, the student will select and use appropriate operations to solve problems and justify the choice of operations.
Solving Problems that Include Fractions and Decimals
Given problem situations, the student will use addition, subtraction, multiplication, and division to solve problems involving positive and negative fractions and decimals.
Graphing Data to Demonstrate Relationships
Given problem situations, the student will graph data with a constant rate of change to demonstrate relationships in familiar concepts, such as scaling.
Estimating and Finding Solutions: Percents
Given problem situations involving percents, the student will estimate and find solutions to the problems.
8.01 Introduction to Confidence Intervals
In this video, students will be introduced to the construction and interpretation of confidence intervals.
8.02 Confidence Interval for One Mean
In this video, students will learn to construct a confidence interval for a population mean.
8.03 Visualizing a Confidence Interval
In this video, students will learn to visualize the construction of a confidence interval.
8.04 Interpreting Confidence Intervals
In this video, students will learn to interpret a confidence interval.
8.05 Confidence Interval for One Proportion
In this video, students will learn to construct and interpret a confidence interval for one proportion.
8.06 Factors Affecting the Width of a Confidence Interval
In this video, students will explore how the components of a confidence interval affect its width.
8.07 Confidence Intervals in the Real World
In this video, students will analyze confidence intervals in the real world.
7.01 Variability in Sample Proportions, Part 1
In this video, students describe and model variability using a binary population distribution and the sampling distribution of a sample proportion.