Pure Mathematics Teacher Resources

Find Pure Mathematics educational ideas and activities

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Learners explore the concept of GCD and LCM.  In this GCD and LCM lesson, students use a CAS program on their graphing calculator to determine the LCD and GCD of polynomials and large numbers.  Learners use the GCD function to determine the GCD of various fractions such as 3/4 and 17/3.
Middle schoolers study the components of a deck of cards and conduct an initial experiment in the probability of drawing various types of cards from a deck. They play two rounds of poker to discover the probability of drawing several card scenarios. Afterward, they write analysis papers based on their findings. This is a neat cross-curricular activity!
Young scholars investigate the role of mathematics in their everyday lives. They discover, through reading a Times article and through analyzing a specific example of art, that mathematics exists on a deeper 'metaphoric' level in art.
Students explore the mathematical probabilities involved in gambling and how these factors affect people's behavior. They work in pairs and conduct and experiment pertaining to blackjack. The class creates a graph showing the trends found.
Students, in groups, develop math lessons for younger students that each stems from a popular student story. Group members individually develop lessons for other subject areas based on their group's story, creating interdisciplinary units.
Students design a new playground environment after reading an article from The New York Times. Students incorporate math into the playground design by using precise measurements and prepare a scale drawing with key.
Students share opinions about importance of milestone events they might host or attend. They then prepare estimated budgets for parties based on established budget totals, and compare their estimates against the real costs.
Students examine the needs of their community for public space and determine the solutions to math problems related to planning landscape designs. They read and discuss an article from the New York Times, create their own designs for a community space in small groups, and present their plans to the class.
Students examine what might be in store for Wall Street following the NASDAQ's 547.57 point plunge on Tuesday, April 4, 2000. They evaluate how they might manage a heavily laden high-tech portfolio before deciding how to invest in the market.
Learners explore the various rhythmic combinations in jazz and blues music. They watch a video segment, apply a mathematical formula to calculate the number of possible rhythmic combinations, and perform a combination of notes and rhythm on a keyboard.
Begin this activity by estimating the cost of a college education and comparing it to actual data. After reading an article, high school seniors discuss the processes of the college loan corporations. They listen to a lecture about how to wade through all of the information and work together to create a brochure to help other students.
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution to contextual problems. In addition, they use generating functions to solve non-homogeneous equations.
Students explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify Goldbach's conjecture.
Students aim to explain the need for standardization of units of measurement. They pose their own standards for the value of a kilogram and compare them with the currently used standard.
As a cross-curricular lesson, your class examines the issues of gender discrimination, careers, and gender roles. They read and discuss an article, prepare a proof of the Pythagorean theorem as a class, and develop a creative representation of Pythagoras' ideas.
Students explore how locations around a meteorite provide information about the meteorite's orbit. They explore triangulation techniques and create imaginary cities in which meteorites are ensconced.
Students examine the potentials, both positive and negative, of adapting an international 'Internet time' system. They create and solve word problems that require them to translate between the current time system and Internet time.
Learners analyze the effects of time zone differences on how we function as a global community, focusing particularly on the turn of the millennium as a way for students to calculate time zone differences.
Students study how scientists have estimated the maximum height to which trees can grow, and assess the reliability of interpolation and extrapolation techniques by making predictions with particular data sets and analyzing accuracy of their estimates.
Learners perform an experiment to test the value of technology to mathematics, and practice using the scientific method. They write lab reports in which they summarize their findings and evaluate their methods.

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