In this Khan Academy activity, students will find a trigonometric ratio of a right triangle.

Students rewrite the Pythagorean Theorem in terms of sine and cosine ratios, and use it in this form to solve problems. Students write tangent as an identity in terms of sine and cosine, and use it in this form to solve problems.

This classroom task is meant to elicit a variety of different methods of solving a quadratic equation.

Worked example video where students are asked to find a two-way table of column relative frequencies.

Worksheet that provides examples and practice problems solving conditional probabilities and using two-way frequency tables.

This lesson is designed to give students more insight into both mathematical and real-world assumptions that can be involved even in what appears to be a simple task: to find the “average household size” for students at their school. The context of this lesson has real-world relevance: it is not only part of the Census at School questionnaire, but is also part of what the Census Bureau regularly estimates. The lesson can efficiently set the tone for better habits of mind and questioning and more precise usage of vocabulary and more explicit awareness of assumptions and possible biases in a broad range of future student work in statistics.

In this Khan Academy activity, students will rewrite expressions with radicals and rational exponents into equivalent expressions using the properties of exponents.

This lesson explains how the graph of a function may be shifted up or down.

In this Khan Academy activity, students will find the length of a line segment given information about a given triangle.

Lesson involving properties of dilations. Suggests software such as Geoboards, or dynamic geometry software program but not necessary.

The goal of this task is to study the relationship between the roots of a quadratic function and its graph.

The purpose of this task is to help provide geometric intuition for the algebraic process called ''completing the square.''

Lesson on how to perform rigid transformations while noting that the angles remain the same in each figure.

This is a PBL project originally done in a Math 2 class at the beginning of the year. It was a relatively low stakes project that allowed students to get a feel for the PBL process and identify gaps of fundamental math knowledge so they could develop a personalized plan to close those gaps - ideally while relating it to their academic and career goals. It can also be adapted to other math courses.

Class activity that teaches students about independent and conditional probability using the Multiplication rule