In this task students are given graphs of quantities related to weather. …
In this task students are given graphs of quantities related to weather. The purpose of the task is to show that graphs are more than a collection of coordinate points, that they can tell a story about the variables that are involved and together they can paint a very complete picture of a situation, in this case the weather.
These unit conversion problems provide a rich source of examples both for …
These unit conversion problems provide a rich source of examples both for composition of functions (when several successive conversions are required) and inverses (units can always be converted in either of two directions).
Temperature conversions provide a rich source of linear functions which are encountered …
Temperature conversions provide a rich source of linear functions which are encountered not only in science but also in our every day lives when we travel abroad. The first part of this task provides an opportunity to construct a linear function given two input-output pairs. The second part investigates the inverse of a linear function while the third part requires reasoning about quantities and/or solving a linear equation.
In this engineering unit, students are developing background knowledge on heat, heat …
In this engineering unit, students are developing background knowledge on heat, heat transfer and conservation. While this unit can be a stand-alone exercise, it has been designed to provide a way for students to gather data and derive evidence-based conclusions to help them choose the best materials to use in a science class solar cooker project. Students build cardboard houses to explore the movement and conservation of heat energy. A heat source is placed inside the house and students use vernier temperature probes and graphing software to gather and tabulate temperature data. Each house is standard, so that the students understand that we are all gathering data in a consistent way. Students must calculate percentage of wall space given to doors and windows. Students will compare data from team to team, examining heat loss as recorded by temperature differences as a function of window and door areas. Students will cover doors and windows with various materials, examining different insulating qualities. Students will examine the effect on temperature of different colors of wall surface on the interior of the house. After gathering data, students will work to draw conclusions from the gathering of data. Students will construct charts and tables to tabulate data by hand, then will transfer data to Excel spreadsheets if technology is available.
The purpose of this task is to help students understand composing and …
The purpose of this task is to help students understand composing and decomposing ones, tens, and hundreds. This task is meant to be used in an instructional setting and would only be appropriate to use if students actually have base-ten blocks on hand.
This task allows the students to compare characteristics of two quadratic functions …
This task allows the students to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out algebraically. Specifically, we are asking the students to determine which function has the greatest maximum and the greatest non-negative root.
Although this task is quite straightforward, it has a couple of aspects …
Although this task is quite straightforward, it has a couple of aspects designed to encourage students to attend to the structure of the equation and the meaning of the variables in it. It fosters flexibility in seeing the same equation in two different ways, and it requires students to attend to the meaning of the variables in the preamble and extract the values from the descriptions.
ile patterns will be familiar with students both from working with geometry …
ile patterns will be familiar with students both from working with geometry tiles and from the many tiles they encounter in the world. Here one of the most important examples of a tiling, with regular hexagons, is studied in detail. This provides students an opportunity to use what they know about the sum of the angles in a triangle and also the sum of angles which make a line.
This task aims at explaining why four regular octagons can be placed …
This task aims at explaining why four regular octagons can be placed around a central square, applying student knowledge of triangles and sums of angles in both triangles and more general polygons.
This task guides students by asking the series of specific questions and …
This task guides students by asking the series of specific questions and lets them explore the concepts of probability as a fraction of outcomes, and using two-way tables of data. The emphasis is on developing their understanding of conditional probability. The task could lead to extended class discussions about the chances of events happening, and differences between unconditional and conditional probabilities. Special emphasis should be put on understanding what the sample space is for each question.
This task lets students explore the concepts of probability as a fraction …
This task lets students explore the concepts of probability as a fraction of outcomes, and using two-way tables of data. The special emphasis is on developing their understanding of conditional probability and independence. This task could be used as a group activity where students cooperate to formulate a plan of how to answer each question and calculate the appropriate probabilities. The task could lead to extended class discussions about the different ways of using probability to justify general claims.
This is a very open ended task. It poses the question, but …
This is a very open ended task. It poses the question, but the students have to formulate a plan to answer it, and use the two-way table of data to find all the necessary probabilities. The special emphasis is on developing their understanding of conditional probability and independence. This task could be used as a group activity where students cooperate to formulate a plan of how to answer the question and calculate the appropriate probabilities. The task could lead to extended class discussions about the different ways of using probability to justify general claims.
Siuslaw Elementary students designed, engineered and constructed functioning ROV's to explore ways …
Siuslaw Elementary students designed, engineered and constructed functioning ROV's to explore ways to solve underwater challenges. Engineering exercises included functionality requirements, buoyancy and floatation, electronics, thrust and maneuverability.
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