This task combines two skills from domain G-C: making use of the relationship between a tangent segment to a circle and the radius touching that tangent segment (G-C.2), and computing lengths of circular arcs given the radii and central angles (G-C.5). It also requires students to create additional structure within the given problem, producing and solving a right triangle to compute the required central angles (G-SRT.8).

This task presents an opportunity to explore a more general and non-algebraic view of functions.

The purpose of this task is to construct and use inverse functions to model a a real-life context. Students choose a linear function to model the given data, and then use the inverse function to interpolate a data point.

This task focuses on the fact that exponential functions are characterized by equal successive quotients over equal intervals. This task can be used alongside F-LE Equal Factors over Equal Intervals.

This task focuses on the fact that linear functions are characterized by constant differences over equal intervals. It could be used alongside to F-LE Equal Differences over Equal Intervals I & II.

A Guide to Authoring & Adapting Open Textbooks at the University of Saskatchewan

Short Description:
This book is a practical guide to adapting or creating open textbooks using the PressBooks platform. It is continually evolving as new information, practices and processes are developed. The primary audience for this book are faculty and post-secondary instructors in Saskatchewan, Canada who are developing, adapting or adopting open textbooks at the University of Saskatchewan. However, there may be content within this book that is useful to others working on similar Open Educational Resource initiatives.

Long Description:
This book is a practical guide to adapting or creating open textbooks using the PressBooks platform. It is continually evolving as new information, practices and processes are developed. The primary audience for this book are faculty and post-secondary instructors in Saskatchewan, Canada who are developing, adapting or adopting open textbooks at the University of Saskatchewan. However, there may be content within this book that is useful to others working on similar Open Educational Resource initiatives.

Word Count: 17157

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Explore pressure under and above water. See how pressure changes as you change fluids, gravity, container shapes, and volume.

This task presents a context that leads students toward discovery of the formula for calculating the volume of a sphere. Students who are given this task must be familiar with the formula for the volume of a cylinder, the formula for the volume of a cone, and CavalieriŐs principle.

The goal of this task is to provide examples for comparing two fractions by finding a benchmark fraction which lies in between the two.

This task deals with a student error that may occur while students are completing F-IF Average Cost.

The purpose of the task is to explicitly identify a common error made by many students, when they make use of the "identity" f(x+h)=f(x)+f(h). A function f cannot in general be distributed over a sum of inputs.

This task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

Students develop a physical understanding for the meaning of equality by trying to find equal lengths using rods.

For this task, Minitab software was used to generate 100 random samples of size 16 from a population where the probability of obtaining a success in one draw is 33.6% (Bernoulli). Given that multiple samples of the same size have been generated, students should note that there can be quite a bit of variability among the estimates from random samples and that on average, the center of the distribution of such estimates is at the actual population value and most of the estimates themselves tend to cluster around the actual population value.

This task helps students broaden and deepen their understanding of the equals sign and equality.

Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.

Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.

In this task students interpret two graphs that look the same but show very different quantities. The first graph gives information about how fast a car is moving while the second graph gives information about the position of the car. This problem works well to generate a class or small group discussion. Students learn that graphs tell stories and have to be interpreted by carefully thinking about the quantities shown.

This task could be used in instructional activities designed to build understandings of fraction division. With teacher guidance, it could be used to develop knowledge of the common denominator approach and the underlying rationale.