Number Theory Teacher Resources
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Students examine the relationship between income levels and social class. Using the Internet, they read various stories in which they guess what the social class of each character and answer discussion questions. They develop graphs to compare the social class of the scenarios in a worksheet.
Students explore the concept of conditional probability and probability of simultaneous events. In this conditional probability and probability of simultaneous events lesson, students roll dice or use and applet to roll dice to determine probability of a particular outcome. Students try to predict the probability of members of their group winning.
Students explore patterns in everyday life and in the mathematic world. They create various concrete examples of patterns and verbally describe these patterns to a fellow student.
Fifth graders review the concept of prime factorization. Then, they use the rules for divisibility and other notions to find the prime factorization of unfamiliar numbers. They solve problems in a whole class setting.
Students complete a unit of lessons on computing area and volume. They play a Jeopardy game of basic area formulas, calculate surface area of shapes, develop a Powerpoint presentation, and conduct a simulation of finding the surface area of a spa.
Students explore the concepts of voting and the variety of voting methods. In this voting system lesson, students investigate the advantages and disadvantages of each method. Students collect data and record combination patterns on activity sheets.
Educators can use music lessons that show students how to learn about rhythm in a fun and exciting way.
Fifth graders use prime factoration and the use of prime and composite numbers.
Fifth graders visit Web sites to recognize place value in whole numbers and decimals. They create place value cards using PowerPoint software.
Ninth graders express mathematical properties through creation of advertising jingles.
Ninth graders explore mathematical properties through the use of an advertising jingle. They produce a commercial that is digitized and presented to the class. Students write a jingle that simplifies each property and helps classmates learn the properties.
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row. They also discover patterns and complete a worksheet to end the lesson.
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Lower graders explore recursive patterns. They use a calculator to recognize, generate, and explore patterns during arithmetic explorations. The unit provides several assignments of an exploratory nature designed to assist in developing mathematical thinking and reasoning.
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a complex number. Students take notes from a website about complex numbers.
Students locate information pertaining to the 2002 Winter Olympics on the World Wide Web, specifically the final times or scores in selected events. They calculate the mean, median, mode, and range for each set of data.
Middle schoolers engage in a clever lesson that combines meteorology with mathematical thinking. They use integers in relation to high and low temperatures that they record. They use a spreadsheet of weather data, a computer, and gain valuable practice in using integers.
Seventh graders review procedures for computation with decimals and then complete real world problems regarding sale prices and the stock market that involve decimals. They enter the answers into a table and analyze their findings to find the best bargains.