This lesson has students explore areas of rectangular and irregular shapes on a grid to help them understand the concept of area and the units in which area is measured.

Grade Level: Grades 3-5

Related Topics: area, geometry, length, perimeter, rectangles, right angle, squares, width

Helps students understand there are a variety of ways to solve problems. This lesson also gives students practice in using various methods to find the areas of irregular shapes.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: area, geometry, length, rectangles, right angle, squares, width

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: comparing, converting, decimals, denominator, division, divisors, factors, fractions, number line, numerator, ordering, proportion, rational numbers, reducing fraction, subtraction

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: addition, arithmetic, decimals, denominator, division, fractions, inverse, lowest common denominator, multiplication, numerator, percents, rational numbers, subtraction

Students and teacher play a game called "Fraction King" to understand the idea of taking fractional parts of whole numbers then use manipulatives and several computer applets to cement the idea.

Grade Level: Grades 3-5

Related Topics: arithmetic, comparing, denominator, fractions, multiplication, number line, numerator, ordering, rational numbers, subtraction

Introduces students to concepts that lead to probability.

Grade Level: Grades 3-5, Grades 6-8, Grades 9-12

Related Topics: circle graph, counting, events, experimental probability, fair, geometric probability, outcomes, pie chart, probability, probability simulation, random number, spinner, theoretical probability

This lesson allows students to learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs.

Grade Level: Grades 3-5

Related Topics: bar graph, categorical, circles, counting, data, squares, statistics, triangle

This lesson will challenge students to think creatively by having them design and build water balloon catchers from random scrap materials, while requiring them to take into consideration a multitude of variables. Students will then construct at least two bar graphs to be used in a commercial advocating the purchase of their group's catcher.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: bar graph, counting, data, graph, histogram, intervals, lines, mean, median, mode, pie chart, probability, range, skewed distribution, standard deviation, statistics

Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets.

Grade Level: Grades 3-5

Related Topics: arithmetic, geometry, length, perimeter, polygon, rectangles, right angle, scale, squares

This lesson teaches students about theoretical and experimental probability through a series of work stations.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: bar graph, conditional probability, events, experimental probability, fair, fractions, geometric probability, monty hall, outcomes, percents, probability, probability simulation, probability with replacement, random number, spinner, theoretical probability, trials

Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: addition, algorithm, arithmetic, coordinate, data, decimals, division, fractions, graph, integers, linear equations, linear functions, multiplication, subtraction

This lesson is designed to introduce students to the idea of a set and what it means to be a part of a set. Students will experiment with sets in conjunction with the Venn Diagram.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: counting, element, pattern, sets, venn diagram

This lesson shows elementary students how they can know, for certain, that rigid motions like reflections, rotations, and translations create a shape congruent to the original.

Grade Level: Grades 3-5

Related Topics: congruent, reflections, rotation, transformation, translation

Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.

Helps students understand there are a variety of ways to solve problems. This lesson also gives students practice in using various methods to find the areas of irregular shapes.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: area, geometry, length, rectangles, right angle, squares, width

Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: comparing, converting, decimals, denominator, division, divisors, factors, fractions, number line, numerator, ordering, proportion, rational numbers, reducing fraction, subtraction

Introduces conditional probability and the probability of simultaneous events.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: comparing, conditional probability, events, experimental probability, fair, fractions, independent, multiplication, percents, probability, probability simulation, probability without replacement, random number, theoretical probability

Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: addition, arithmetic, decimals, denominator, division, fractions, inverse, lowest common denominator, multiplication, numerator, percents, rational numbers, subtraction

Related Topics: algebra, cartesian coordinate, constant, continuous distribution, coordinate, coordinate plane, discontinuous, function properties, functions, graph, input, linear equations, linear functions, lines, output, piecewise, vertical line test

Introduces students to concepts that lead to probability.

Grade Level: Grades 3-5, Grades 6-8, Grades 9-12

Related Topics: circle graph, counting, events, experimental probability, fair, geometric probability, outcomes, pie chart, probability, probability simulation, random number, spinner, theoretical probability

This lesson will challenge students to think creatively by having them design and build water balloon catchers from random scrap materials, while requiring them to take into consideration a multitude of variables. Students will then construct at least two bar graphs to be used in a commercial advocating the purchase of their group's catcher.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: bar graph, counting, data, graph, histogram, intervals, lines, mean, median, mode, pie chart, probability, range, skewed distribution, standard deviation, statistics

This lesson teaches students about theoretical and experimental probability through a series of work stations.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: bar graph, conditional probability, events, experimental probability, fair, fractions, geometric probability, monty hall, outcomes, percents, probability, probability simulation, probability with replacement, random number, spinner, theoretical probability, trials

Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: addition, algorithm, arithmetic, coordinate, data, decimals, division, fractions, graph, integers, linear equations, linear functions, multiplication, subtraction

Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: algebra, arithmetic, conditional probability, divisors, events, experimental probability, fair, fractions, independent, multiplication, outcomes, percentages, percents, probability, probability simulation, probability with replacement, probability without replacement, random number, sampling, solving equations, theoretical probability, trials

This lesson is designed to introduce students to the idea of a set and what it means to be a part of a set. Students will experiment with sets in conjunction with the Venn Diagram.

Grade Level: Grades 3-5, Grades 6-8

Related Topics: counting, element, pattern, sets, venn diagram

Considers probability problems with unexpected and surprising answers.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: combinatorics, conditional probability, events, experimental probability, fair, fractions, monty hall, outcomes, percents, probability, probability simulation, probability with replacement, probability without replacement, proportion, random number, spinner, statistics, strategy, theoretical probability, trials

Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.

Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.

Introduces conditional probability and the probability of simultaneous events.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: comparing, conditional probability, events, experimental probability, fair, fractions, independent, multiplication, percents, probability, probability simulation, probability without replacement, random number, theoretical probability

Related Topics: algebra, cartesian coordinate, constant, continuous distribution, coordinate, coordinate plane, discontinuous, function properties, functions, graph, input, linear equations, linear functions, lines, output, piecewise, vertical line test

Introduces students to concepts that lead to probability.

Grade Level: Grades 3-5, Grades 6-8, Grades 9-12

Related Topics: circle graph, counting, events, experimental probability, fair, geometric probability, outcomes, pie chart, probability, probability simulation, random number, spinner, theoretical probability

Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.

Grade Level: Grades 9-12

Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, distance, function properties, functions, graph, intervals, linear equations, linear functions, lines, pattern, time, vertical line test

Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: algebra, arithmetic, conditional probability, divisors, events, experimental probability, fair, fractions, independent, multiplication, outcomes, percentages, percents, probability, probability simulation, probability with replacement, probability without replacement, random number, sampling, solving equations, theoretical probability, trials

Considers probability problems with unexpected and surprising answers.

Grade Level: Grades 6-8, Grades 9-12

Related Topics: combinatorics, conditional probability, events, experimental probability, fair, fractions, monty hall, outcomes, percents, probability, probability simulation, probability with replacement, probability without replacement, proportion, random number, spinner, statistics, strategy, theoretical probability, trials

Related Topics: algebra, cartesian coordinate, constant, continuous distribution, coordinate, coordinate plane, discontinuous, function properties, functions, graph, input, linear equations, linear functions, lines, output, piecewise, vertical line test