_ correct graph _ clear, concise explanation and use of mathematical terms _ correct answer to problem _ ability to answer questions on the subject Further comments:ĩ 2nd SEMESTSER PRE-CALCULUS: a group (2 or 3) simple projectĮxample: BENDING MOMENT The bending moment M at any distance x for a simply supported beam carrying a distributed load w N/m and length l is: M = 0.5 w l x – 0.5 w x2 a) What conic shape is the bending moment when w = 1360 N/m and l = 3.00 m ? b) Graph the conic on Graphmatica and estimate the zero bending moment and the maximum bending moment. Marks are for: correct written answer to problem ability to explain the process of how the answer was obtained ability to answer questions from other students participation by every member of the group during the presentation any additional questions to pursue that you might have about the original problemĮvaluation by: _ Names of presenters:_ Date:_ Rate each below as satisfactory, good, excellent or needs improvement. A brief, computer-written report, showing your solution, is ed to me at on the due date or put in the assignment drop-box in Vista. Be prepared to field any questions from other students. Use the new graphing calculator Graphmatica in Downloads for a computer graph. Then on the specified day, you will give a brief presentation to the class the solution on your laptop and the whiteboard, if needed. In groups of 2 or 3, you will solve the problem assigned to you. ħ 1st Semester Pre-Calculus Instructions and Marking Scheme:
In this pipe, f = and the flow rate is 184 gal/min. Calculate the pipe pressure drop in a pipe with a diameter of 2.84 in. The formula for the pressure loss h in a pipe is where f is the friction factor, L is the length of the pipe in feet, Q the flow rate in cubic feet per second and D the pipe diameter in inches.
If students have input into project selection, and like the topic, they will tend to become more involved and excited about their learning.ĥ HOW? First semester pre-calculus: a simple group (2 or 3) word problem presentation Second semester pre-calculus: a group one-step project report Differential calculus: report on a multi-step group project Integral calculus: report on a multi-step group project Statistics: report on a group quality control project Reference: Technical Mathematics Calter & Calter, & Calculus An Active Approach with Projects The Ithaca College Calculus GroupĦ 1ST SEMESTER PRE-CALCULUS: a simple group (2 or 3) word problem presentation Example: How will students benefit both academically and personally from their involvement in the project? Their participation in an actual real world activity might encourage them to do their best work, and see the relevance of mathematics in their daily lives.
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Shows relevance and the unity of mathematics encourages brain-storming and the creative side of mathematics in open-ended projects requires a deeper understanding when describing the solution precisely in wordsģ WHY PROJECTS? ability to recognize mathematics as a way of thinking and speaking about quantities, qualities, measures, and qualitative and quantitative relationships and to extend beyond to a level where you model your applications "preparation for" and "ability to" work with others in group activities and problem solving situations with an understanding of group dynamics for innovative decision making as well as conditions of "groupthink" that lead group problem solving astray ability to use a general problem solving technique and incorporate computer and graphing calculator technology to facilitate problem solvingĤ When selecting an existing project, or creating one of your own, consider the following:ĭoes the project come with classroom instructional materials (e.g., teacher resources, student activities, rubrics and assessment tools)? What is the total time for project completion? Is the project collaborative in nature? A collaborative project, particularly involving students outside your own school setting, will take more time and monitoring to help students learn how to be a part of a team and communicate appropriately with others. 1 MATH PROJECTS Lynda Graham Sheridan College 9 (5017)Ģ WHY PROJECTS? noted by National Accreditation Board
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