This problem allows the student to think geometrically about lines and then relate this geometry to linear functions. Or the student can work algebraically with equations in order to find the explicit equation of the line through two points (when that line is not vertical).

This task is designed as a follow-up to the task F-LE Do Two Points Always Determine a Linear Function? Linear equations and linear functions are closely related, and there advantages and disadvantages to viewing a given problem through each of these points of view. This task is intended to show the depth of the standard F-LE.2 and its relationship to other important concepts of the middle school and high school curriculum, including ratio, algebra, and geometry.

This problem complements the problem ``Do two points always determine a linear function?''

"Do Yoga with Me is one of my personal favourite sources for good home workouts, obviously of the yoga variety! Many of their classes are filmed outdoors in beautiful British Columbia, Canada. The level of instruction is top-notch and there are videos that focus on pretty much every part of the body (e.g. hips, hamstrings, back, etc.), so you can target the area that you need to work on most."

Any video with a plus symbol in an orange/yellow circle requires a subscription but all others are free to access. You can use the filters at the top of the page to filter your search.

This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages. There are several ways (tables, graphing calculators, or statistical software) that students might calculate the required normal percentages. Depending on the method used, answers might vary somewhat from those shown in the solution.

In this activity, students squeeze a tennis ball to demonstrate the strength of the human heart. Working in teams, they think of ways to keep the heart beating if the natural mechanism were to fail. The goal of this activity is to get students to understand the strength and resilience of the heart.

Students explore the concept of optical character recognition (OCR) in a problem-solving environment. They research OCR and OCR techniques and then apply those methods to the design challenge by developing algorithms capable of correctly "reading" a number on a typical high school sports scoreboard. Students use the structure of the engineering design process to guide them to develop successful algorithms. In the associated activity, student groups implement, test and revise their algorithms. This software design lesson/activity set is designed to be part of a Java programming class.

This is an online lesson which introduces the concept of astronomical filters and their connections to imaging different objects in space. Learners will explore perceptions of images as seen using different colors of light, construct a filter wheel, and practice investigating various astronomical images using the filter wheel. This material was designed to highlight how filters are useful to astronomers and show how a real astronomical telescope uses filters to image the Sun.

Students work with specified materials to create aqueduct components that can transport two liters of water across a short distance in their classroom. The design challenge is to create an aqueduct that can supply Aqueductis, a (hypothetical) Roman city, with clean water for private homes, public baths and fountains as well as crop irrigation.

The purpose of the task is to analyze a plausible real-life scenario using a geometric model. The task requires knowledge of volume formulas for cylinders and cones, some geometric reasoning involving similar triangles, and pays attention to reasonable approximations and maintaining reasonable levels of accuracy throughout.

Students will analyze a photograph to learn about body image. They will also discuss how society views the human body in different cultures.

Students will learn about the juxtaposition of image and text to define the social and psychological mood of the civil rights movement in the United States.

Students will engage in visual and written activities that will support their creative process of choreographing a solo dance composition. The lesson includes motifs and the movement components -- body, effort, shape, and space (BESS elements from Laban Movement Analysis).

14 minute video

"A refreshing documentary that updates Terry Fox’s gripping story for today’s youth by featuring modern accounts of young cancer survivors, interviews with Fox family members and one of Canada’s leading Oncology specialists. Inspired by the animation stylings of the 1980’s, when Terry began his Run, the documentary intercuts never before seen archival footage with animation outlines, giving a unique, fresh look and style that are relatable to today’s youth."

A web page and interactive applet illustrating the properties of a dodecagon (10 sided polygon). The applet shows a dodecagon where the user can drag any vertex to reshape it. User can see that the interior and exterior angles are constant in a regular dodecagon, but vary in an irregular version. Controls allow the display or hiding of the diagonals, and triangles within the dodecagon. The web page lists the properties of a dodecagon including interior angles, exterior angles, sum of exterior angles, area, number of diagonals and number of internal triangles. Links to pages with generalized properties of all polygons. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

he teacher's most important objective when faced with a defiant or non-compliant student is to remain outwardly calm. Educators who react to defiant behavior by becoming visibly angry, raising their voices, or attempting to intimidate the student may actually succeed only in making the student's oppositional behavior worse! While the strategies listed here may calm an oppositional student, their main purpose is to help the teacher to keep his or her cool. Remember: any conflict requires at least two people. A power struggle can be avoided if the instructor does not choose to take part in that struggle.

Using the same method for measuring friction that was used in the previous lesson (Discovering Friction), students design and conduct experiments to determine if the amount of area over which an object contacts a surface it is moving across affects the amount of friction encountered.

Students gain an understanding of the factors that affect wind turbine operation. Following the steps of the engineering design process, engineering teams use simple materials (cardboard and wooden dowels) to build and test their own turbine blade prototypes with the objective of maximizing electrical power output for a hypothetical situation—helping scientists power their electrical devices while doing research on a remote island. Teams explore how blade size, shape, weight and rotation interact to achieve maximal performance, and relate the power generated to energy consumed on a scale that is relevant to them in daily life. A PowerPoint® presentation, worksheet and post-activity test are provided.

Testing is critical to any design, whether the creation of new software or a bridge across a wide river. Despite risking the quality of the design, the testing stage is often hurried in order to get products to market. In this lesson, students focus on the testing phase of the software/systems design process. They start by exploring existing examples of program testing using the CodingBat website, which contains a series of problems and challenges that students solve using the Java programming language. Working in teams, students practice writing test cases for other groups' code, and then write test cases for a program before writing the program itself.

Students gain a basic understanding of the properties of media soil, sand, compost, gravel and how these materials affect the movement of water (infiltration/percolation) into and below the surface of the ground. They learn about permeability, porosity, particle size, surface area, capillary action, storage capacity and field capacity, and how the characteristics of the materials that compose the media layer ultimately affect the recharging of groundwater tables. They test each type of material, determining storage capacity, field capacity and infiltration rates, seeing the effect of media size on infiltration rate and storage. Then teams apply the testing results to the design their own material mixes that best meet the design requirements. To conclude, they talk about how engineers apply what students learned in the activity about the infiltration rates of different soil materials to the design of stormwater management systems.