In addition to the purely geometric and trigonometric aspects of the task, this problem asks students to model phenomena on the surface of the earth.

Students are introduced to circuits through a teacher demonstration using a set of Christmas lights. Then students groups build simple circuits using batteries, wires and light bulbs. They examine how electricity is conducted through a light bulb using a battery as a power source. Students also observe the differences between series and parallel circuits by building each type.

An exercise in which students apply limiting reactants, mass ratios and percent yields to suggest an optimum industrial process. Cost figures are provided but students are told to come up with, and defend, their own criteria for their recommendation.

This task requires students to use the fact that on the graph of the linear function h(x)=ax+b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.

This task gives a variet of real-life contexts which could be modeled by a linear or exponential function. The key distinguishing feature between the two is whether the change by equal factors over equal intervals (exponential functions), or by a constant increase per unit interval (linear functions).

This task asks students to consider the linear and quadratic functions appearing on a coordinate plane.

This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, fourth graders can understand infinity in an informal way.

This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.

This task is intended for instruction, providing the students with a chance to experiment with physical models of triangles, gaining spatial intuition by executing reflections.

In this cooperative learning activity, intermediate-level students of French will work in small groups on a language project concerning Alzheimer's Disease and the effect that it has on caregivers. The project begins mainly as a listening activity but ultimately includes all receptive and productive skills.

This is a challenging fraction comparison problem. The fractions for this task have been carefully chosen to encourage and reward different methods of comparison.

This resource contains a set of eleven modules and supporting labs developed by Grand Valley State University and Muskegon Community College concerning processes for the remanufacturing, repurposing, and recycling of advanced energy storage systems. They were developed for use in community college and university programs as well as on-the job training through seed funding from the CAAT. Included with each module is an overview of the topic and lab activities with review questions (instructor version with solutions included).

Students learn about the weighted mean by building spreadsheets that apply this concept to the average density of the oceanic lithosphere.

In this activity, students design an innovative human shelter that is inspired and informed by an animal structure. Each group is assigned an animal class, and they gather information about shelters used by the animals in that class. After researching the topic and brainstorming ideas, students build small prototypes (models) of the structures. Finally, they present their products, explaining what attribute of the animal structure influenced their design.

Students learn the function of the liver and how biomedical engineers can use liver regeneration to help people. Students test the effects of toxic chemicals on a beef liver by adding hydrogen peroxide to various liver and salt solutions. They observe, record and graph their results.

Students take a hands-on look at the design of bridge piers (columns). First they brainstorm types of loads that might affect a Colorado bridge. Then they determine the maximum possible load for that scenario, and calculate the cross-sectional area of a column designed to support that load. Choosing from clay, foam or marshmallows, they create model columns and test their calculations.

In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

This task can be implemented in a variety of ways. For a class with previous exposure to the incenter or angle bisectors, part (a) could be a quick exercise in geometric constructions,. Alternatively, this could be part of a full introduction to angle bisectors, culminating in a full proof that the three angle bisectors are concurrent, an essentially complete proof of which is found in the solution below.

In this instructional task students are given two inequalities, one as a formula and one in words, and a set of possible solutions. They have to decide which of the given numbers actually solve the inequalities.