6.01 Probability and the Law of Large Numbers
In this video, students are introduced to the concept of probability using the Law of Large Numbers.
6.02 Probability Terminology
In this video, students learn key terminology associated with probability.
6.03 Venn Diagrams
In this video, students represent and calculate probabilities using Venn diagrams.
6.04 Independent and Mutually Exclusive Events
In this video, students calculate probabilities for independent events and mutually exclusive events.
6.05 Contingency Tables
In this video, students calculate probabilities using a two-way contingency table.
6.06 Tree Diagrams
In this video, students calculate conditional probabilities using a tree diagram.
6.07 Discrete Random Variables
In this video, students are introduced to discrete random variables.
6.08 The Binomial Distribution
In this videos, students use the binomial distribution to find the expected value, variance, and probabilities associated with a binomial random variable.
6.09 Binomial Approximation
In this videos, students approximate the binomial distribution with the normal distribution for large samples.
Using Properties of Transformations
Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.
Developing Algebraic Expressions to Represent Geometric Properties
The student will investigate patterns to make conjectures.
Developing Algebraic Expressions to Represent Geometric Properties of Polygons
Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.
Developing Algebraic Expressions to Represent Geometric Properties of Angle Relationships in Polygons
Given numerical and/or geometric patterns that represent geometric properties of angle relationships in polygons, the student will investigate patterns to make conjectures about interior and exterior angles of polygons.
Applying Pythagorean Triples to Solve Problems
Given verbal and pictorial representations of problem situations, the student will apply patterns from right triangles whose sides are Pythagorean Triples to solve the problems.
Introduction to Coordinate Geometry
The students will use multiple representations of undefined terms on a coordinate plane to solve problems.
Coordinate Geometry: Parallel and Perpendicular Lines
Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.
Coordinate Geometry: Special Segments
The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.
Coordinate Geometry: Length and Distance
Given coordinates of points, the student will use the distance formula to solve problems involving length and distance.
Coordinate Geometry: Slope
Given coordinate points, the student will use slope formulas to solve problems.
Describing and Drawing Cross Sections
Given a verbal and/or pictorial description of the intersection of a plane with various three-dimensional geometric figures, the student will describe and/or draw the intersection.