Through this lesson and its two associated activities, students are introduced to …

Through this lesson and its two associated activities, students are introduced to the use of geometry in engineering design, and conclude by making scale models of objects of their choice. The practice of developing scale models is often used in engineering design to analyze the effectiveness of proposed design solutions. In this lesson, students complete fencing (square) and fire pit (circle) word problems on two worksheets—which involves side and radius dimensions, perimeters, circumferences and areas—guiding them to discover the relationships between the side length of a square and its area, and the radius of a circle and its area. They also think of real-world engineering applications of the geometry concepts.

Students gain an understanding of the factors that affect wind turbine operation. …

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.

Students will be using real-life energy use data to learn how to …

Students will be using real-life energy use data to learn how to use spreadsheets and create graphs to better organize and view data. Discussions can then follow to analyze the data and explain the usage. Real rates are then provided, and students can use the electricity consumed data to create a utility bill for the consumer and compare the standard Residential Service charges to if the member were instead billed by the “Time of Use” rate.

This lesson unit is intended to help you assess how well students …

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

The purpose of this task is to give 4th grade students a …

The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90_ and that angle measure is additive.

This lesson unit is intended to help teachers assess how well students …

This lesson unit is intended to help teachers assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. In particular, this unit aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data; examining the data and looking for patterns; finding invariance and covariance in the numbers of different types of tile; generalizing using numerical, geometrical or algebraic structure; and describing and explaining findings clearly and effectively.

This lesson unit is intended to help you assess how well students …

This lesson unit is intended to help you assess how well students working with square numbers are able to: choose an appropriate, systematic way to collect and organize data, examining the data for patterns; describe and explain findings clearly and effectively; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

In this activity students practice measuring techniques by measuring different objects and …

In this activity students practice measuring techniques by measuring different objects and distances around the classroom. They practice using different scales of measurement in metric units and estimation.

How many cubes will fit? This 3 Act Task by Graham Fletcher …

How many cubes will fit? This 3 Act Task by Graham Fletcher begins with a picture of an empty cube and one unifix cube inside it. First students make observations and estimates to begin determining how many unifix cubes would fit in the empty cube. Students can then use images with the dimensions of the cube and unifix cube to determine how many unifix cubes fit into the cube. Students are estimating, visualizing, measuring, adding and multiplying fractions and whole numbers to determine the volume of the cube.

Compare length using indirect comparison by finding objects longer than, shorter than, …

Compare length using indirect comparison by finding objects longer than, shorter than, and equal in length to that of a string.

In this particular lesson, I would begin with a variety of animal cards. We could then discuss what students notice about the animals. We could also sort the animals in order on the picture card, stressing to use the language shortest, longest, equal. From there, I would then continue the application of comparing with the length of string and going through the questions that are presented in the task.

It may be difficult for students to notice the string as a tool to compare lengths and use for measurement. Be sure to surface this through class discussions, hoping the students will bring this understanding to light rather than the teacher telling them.

This task adds some rigor to the activity of growing bean plants. …

This task adds some rigor to the activity of growing bean plants. By collecting growth data, students practice measuring and recording length measurements.

Students visit second- and fourth-grade classes to measure the heights of older …

Students visit second- and fourth-grade classes to measure the heights of older students using large building blocks as a non-standard unit of measure. They also measure adults in the school community. Results are displayed in age-appropriate bar graphs (paper cut-outs of miniature building blocks glued on paper to form bar graphs) enabling a comparison of the heights of different age groups. The activities that comprise this activity help students develop the concepts and vocabulary to describe, in a non-ambiguous way, how heights change as children age. This introduction to graphing provides an important foundation for creating and interpreting graphs in future years.

In this activity using a balance scale students practice weighing items to …

In this activity using a balance scale students practice weighing items to see how heavy they are. Cubes are used in the balance as units of measure so students may easily count them.

Students work in pairs to measure length by lining up cubes along …

Students work in pairs to measure length by lining up cubes along the longest side of an item. They count and record length by counting the number of cubes.

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