Through a mixture of online exploration, and teacher instruction, students will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
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Working in groups of 4-5 students will take the information, pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.
This lesson presents students with the abstract idea that letters represent unknown numbers or variables. Vocabulary pertinent to writing English phrases as algebraic expressions and sentences as equations and vice versa is introduced. A mathematics and language arts relationship is also stressed.
Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and discuss three examples of the Pythagorean Theorem. Students apply knowledge of the Pythagorean Theorem to create a scale drawing of a plan to build a triangular raised bed garden for an outdoor classroom. Each group will present their plan to the class.
This lesson is a technology-based activity in which students will research two careers they are possibly interested in pursuing. They will convert the average yearly salary of each career into an hourly wage and record their findings in a spreadsheet. They will calculate their weekly gross and net pay for each career choice.
The lesson is intended to give students a fun real-world experience in applying their math skills. They will use trigonometric ratios to calculate heights of tall structures. They will also use the Internet to convert their calculations from standard to metric units and visa versa.
This unit on sequences and series is intended to help students make the connection from math to real life situations. Developing a marathon training program for a beginner runner is one simple way that students may use patterns in real life. The total mileage per week usually creates a pattern over time. Mathematical operations on patterns, sequences, and series enable students to do the calculations necessary for exploring the pattern. Students also explore nutrition information needed for a training program as proper nutrition is an important part of sports training.
Students will review the meaning of vocabulary relevant to subtracting polynomials such as opposites and the definition of subtract. They will be presented with examples of subtracting polynomials both vertically and horizontally. They will also be given ample opportunities to apply this new skill through game play.
Students will utilize new found knowledge of architectural design and engineering to apply math and science skills in building a structure. By using interactive websites, they will create scale drawing plans and design and engineer a card structure that should withstand the weight of a regular textbook.
Students will be introduced to the slide rule through A brief history on its use. They will practice simple calculations (multiplying and finding values of trigonometric, exponential, and logarithmic functions) using a virtual slide rule.
This activity allows students to use real-world data to create a spreadsheet budget. This project is designed to be the culmination of a spreadsheet unit.
Students will learn to solve proportions and find missing sides of similar figures using the scale factor. This lesson is best taught before the concept of cross multiplication is developed. Not only will the student learn the process of using a scale factor to find a missing value from a proportion, but they will also practice these skills in a timed game online. They will realize that the scale factor is sometimes not an integer, and some proportions are more difficult to solve. This lesson is a great precursor to the means and extremes property of proportions also known as cross multiplication.
In this lesson students will study the surface area and volume of three-dimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 4-5 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.