Lessons
Number and Operations • Geometry • Algebra • Probability • Statistics • Modeling • Discrete • Trigonometry • Calculus • Other • Show All
Number and Operations (...)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algorithm, box and whisker, box plot, geometry, pattern, polygon, sets, venn diagram
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, graph, iteration, linear functions, multiplication, multiplier, negative number, pattern, positive number, pre-calculus, recursion, recursive functions, sequences
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, factors, inverse, modular, multiples, multiplication, remainders, shift cipher, subtraction, time
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
Introduction to various estimation methods through the simulation of a forest fire.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: estimation, probability, probability simulation
Students practice and improve upon their estimation skills.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, comparing, counting, estimation, length, scale
Introduces students to making estimations.
Grade Level: Grades 3-5
Related Topics: addition, area, arithmetic, comparing, counting, division, estimation, length, multiplication, percentages, percents, scale, subtraction
Students learn about factoring by using manipulatives and computer applets.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Finding the factors of whole numbers.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, division, divisors, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, sum, triangle, whole numbers
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: chaos, experimental probability, fractals, fractions, geometric probability, infinity, iteration, outcomes, pattern, percents, probability, probability simulation, random number, recursion, self-similarity, theoretical probability, triangle
Students learn how to convert from fractions to decimals.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, converting, decimals, denominator, division, fractions, numerator, rational numbers, reducing fraction, subtraction
Students learn how to convert from fractions to percentages.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: converting, decimals, denominator, division, fractions, multiplication, numerator, percentages, percents, rational numbers, reducing fraction
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
Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, circle graph, circles, converting, decimals, division, fractions, percents, pie chart, proportion, rational numbers
Outlines the approach to building fractals by cutting out portions of plane figures.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Introduces students to the ideas involved in understanding fractals.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Grade Level: Grades 9-12, Undergraduate
Related Topics: chaos, dimension, fractals, geometric sequences, geometry, iteration, logarithm, pattern, planes, polygon, recursion, scale, self-similarity, symmetry
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, division, elapsed time, modular, multiplication, remainders, time
Reinforces skills associated with multiplying fractions and mixed numbers.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: arithmetic, denominator, division, fractions, geometric sequences, graph, improper, iteration, mixed numbers, multiplication, numerator, recursion, sequences, whole numbers
Introduces students to the concept of base ten and how to use other base number systems.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, algorithm, arithmetic, base, converting, counting, exponents, modular, multiplication, place value, subtraction
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, combinatorics, distance, division, factors, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, integers, iteration, length, limit, lines, multiples, multiplication, pascals triangle, pattern, percents, perimeter, quotient, recursion, remainders, scale, segment, self-similarity, sequences, sets, whole numbers
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, chaos, decimals, dimension, fractals, fractions, geometric sequences, geometry, graph, iteration, length, lines, pattern, pythagorean theorem, rectangles, recursion, segment, self-similarity, sequences, surface area, symmetry, triangle
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: arithmetic, binomial, chaos, coefficient, combinatorics, decimals, dimension, division, divisors, factors, fractals, fractions, geometric sequences, geometry, infinity, integers, iteration, length, lines, multiples, multiplication, pascal's triangle, pattern, probability, rectangles, recursion, remainders, segment, self-similarity, sequences, surface area, symmetry, triangle, whole numbers
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
A capstone lesson to allow students to build a working definition of fractal.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, chaos, dimension, distance, experimental probability, exponents, fractals, fractions, generator, geometric probability, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, logarithm, multiplication, outcomes, pattern, percents, perimeter, probability, random number, recursion, scale, segment, self-similarity, sequences, sets, theoretical probability, triangle
Students learn to identify a variety of patterns using sequences and tessellations.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, hexagon, iteration, multiplication, pattern, planes, polygon, recursion, recursive functions, sequences, squares, symmetry, tessellations, triangle
In this lesson, students explore sets, elements, and Venn diagrams.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: counting, element, integers, intersection, pattern, sets, union, venn diagram, whole numbers
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
Students will learn about modular arithmetic in order to decipher encrypted messages.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, modular, multiples, multiplication, pattern, remainders, shift cipher, subtraction, time
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: chaos, complex number, coordinate, coordinate plane, coordinate system, division, escape, exponents, fractals, functions, geometric sequences, geometry, infinity, iteration, julia set, mandelbrot set, multiplication, pattern, planes, prisoner, radius, recursion, recursive functions, self-similarity, sets, symmetry
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: element, pattern, sets, venn diagram
Geometry (...)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algorithm, box and whisker, box plot, geometry, pattern, polygon, sets, venn diagram
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, graph, iteration, linear functions, multiplication, multiplier, negative number, pattern, positive number, pre-calculus, recursion, recursive functions, sequences
Introduces students to quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: angles, geometry, parallel, parallelogram, polygon, quadrilaterals, rectangles, rhombus, squares, supplemental, tessellations
Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: acute, adjacent, alternate exterior, alternate interior, angles, corresponding, geometry, intersection, lines, obtuse, rays, right angle, transversal, vertical
Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.
Grade Level: Grades 3-5
Related Topics: acute, angles, degrees, intersection, obtuse, rays, right angle
Comparing shapes with the same areas but different perimeters.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, comparing, geometry, integers, length, perimeter, polygon, rectangles, right angle, squares, width
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 plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, functions, graph, linear equations, linear functions, negative number, planes, slope
Students learn about the concepts and applications of chaos.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, outcomes, percents, probability, probability simulation, theoretical probability
Introduces students to a geometric derivation of the conic sections.
Grade Level: Grades 9-12
Related Topics: circles, conic section, ellipse, hyperbola, parabola, pre-calculus
This lesson utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: conic section, geometry, hyperbola, parabola, polygon, pre-calculus, pyramid
Introduces students to elapsed time and how to calculate it.
Grade Level: Grades 3-5
Related Topics: addition, counting, elapsed time, modular, subtraction, time
Students practice finding the ending time given the starting time and an elapsed time.
Grade Level: Grades 3-5
Related Topics: addition, arithmetic, counting, elapsed time, modular, subtraction, time
Students consider the patterns that emerge from agent models and geometric fractals.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, fractals, pattern, recursion, self-similarity
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, division, divisors, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, sum, triangle, whole numbers
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: chaos, experimental probability, fractals, fractions, geometric probability, infinity, iteration, outcomes, pattern, percents, probability, probability simulation, random number, recursion, self-similarity, theoretical probability, triangle
Explores lines, planes, angles, and polygons in tessellations.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: angles, area, flips, geometry, glides, hexagon, length, lines, pattern, perimeter, planes, polygon, rectangles, reflections, regular, rotation, slides, squares, symmetry, tessellations, triangle
Students learn basic ideas about graphing points on the coordinate plane.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: algebra, axis, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, linear functions, lines, negative number, number line, pattern, planes, positive number, quadrant, slope
Outlines the approach to building fractals by cutting out portions of plane figures.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Introduces students to the ideas involved in understanding fractals.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Grade Level: Grades 9-12, Undergraduate
Related Topics: chaos, dimension, fractals, geometric sequences, geometry, iteration, logarithm, pattern, planes, polygon, recursion, scale, self-similarity, symmetry
Introduces students to length, perimeter and area.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: acute, addition, area, arithmetic, cartesian coordinate, coordinate plane, dimension, distance, geometry, length, multiplication, obtuse, perimeter, planes, polygon, pythagorean theorem, rectangles, subtraction, triangle, width
Introduces students to lines, rays, line segments, and planes.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: algebra, axis, coordinate plane, coordinate system, functions, geometry, graph, infinity, lines, number line, planes, rays, segment
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, combinatorics, distance, division, factors, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, integers, iteration, length, limit, lines, multiples, multiplication, pascals triangle, pattern, percents, perimeter, quotient, recursion, remainders, scale, segment, self-similarity, sequences, sets, whole numbers
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, chaos, decimals, dimension, fractals, fractions, geometric sequences, geometry, graph, iteration, length, lines, pattern, pythagorean theorem, rectangles, recursion, segment, self-similarity, sequences, surface area, symmetry, triangle
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: arithmetic, binomial, chaos, coefficient, combinatorics, decimals, dimension, division, divisors, factors, fractals, fractions, geometric sequences, geometry, infinity, integers, iteration, length, lines, multiples, multiplication, pascal's triangle, pattern, probability, rectangles, recursion, remainders, segment, self-similarity, sequences, surface area, symmetry, triangle, whole numbers
Introduces students to the concept of perimeter.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, algorithm, arithmetic, geometry, length, perimeter, planes, polygon, rectangles, squares, width
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
Students learn about how probability can be represented using geometry.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: angles, area, circle graph, circles, counting, decimals, degrees, estimation, events, experimental probability, fair, geometric probability, geometry, length, outcomes, percents, polygon, polyhedra, probability, probability simulation, random number, right angle, spinner, statistics, theoretical probability, volume
Students learn about how probability can be represented using geometry.
Grade Level: Grades 3-5
Related Topics: angles, circle graph, circles, counting, decimals, estimation, events, experimental probability, fair, fractions, geometric probability, geometry, outcomes, percents, probability, probability simulation, random number, spinner, statistics, theoretical probability
A capstone lesson to allow students to build a working definition of fractal.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, chaos, dimension, distance, experimental probability, exponents, fractals, fractions, generator, geometric probability, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, logarithm, multiplication, outcomes, pattern, percents, perimeter, probability, random number, recursion, scale, segment, self-similarity, sequences, sets, theoretical probability, triangle
Students learn how the Pythagorean Theorem works and how to apply it.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algebra, angles, area, arithmetic, cartesian coordinate, coordinate plane, distance, exponents, geometry, hypotenuse, length, perimeter, pythagorean theorem, right angle, slides, solving equations, squares, triangles, trigonometry
Students learn to identify a variety of patterns using sequences and tessellations.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, hexagon, iteration, multiplication, pattern, planes, polygon, recursion, recursive functions, sequences, squares, symmetry, tessellations, triangle
In this lesson, students explore sets, elements, and Venn diagrams.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: counting, element, integers, intersection, pattern, sets, union, venn diagram, whole numbers
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
Introduces students to the concepts of surface area and volume.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, dimension, geometry, integers, length, polyhedra, prisms, surface area, volume
This lesson teaches students how to find the surface area of non-rectangular prisms.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, dimension, geometry, length, polyhedra, prisms, rectangles, slant height, surface area, triangle, volume
This lesson teaches students how to find the surface area of rectangular prisms.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, dimension, geometry, length, polyhedra, prisms, rectangles, surface area
Examines plane symmetry.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: angles, area, geometry, glides, hexagon, illusion, length, pattern, planes, polygon, rectangles, reflections, regular, rotation, segment, squares, symmetry, tessellations, transformation, translation, triangle
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: chaos, complex number, coordinate, coordinate plane, coordinate system, division, escape, exponents, fractals, functions, geometric sequences, geometry, infinity, iteration, julia set, mandelbrot set, multiplication, pattern, planes, prisoner, radius, recursion, recursive functions, self-similarity, sets, symmetry
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 concepts of transformations.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: angles, cartesian coordinate, coordinate plane, coordinate system, dimension, distance, flips, geometry, glides, graph, hexagon, image, parallelogram, pattern, planes, polygon, pre-image, reflections, rotation, squares, symmetry, tessellations, transformation, translation, transpose, triangles
Students learn about finding the area of a triangle.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, cartesian coordinate, coordinate plane, distance, geometry, length, right angle, squares, triangle, triangles, width
Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: angles, area, contrast, geometry, glides, graph, hexagon, hue, illusion, length, lines, pattern, planes, polygon, rectangles, reflections, regular, rotation, segment, squares, symmetry, tessellations, transformation, translation, triangle, value
This lesson teaches students how to find the volume of non-rectangular prisms.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, depth, dimension, geometry, height, length, multiplication, polyhedra, prisms, rectangles, slant height, squares, surface area, triangle, volume, width
This lesson teaches students how to find the volume of rectangular prisms.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, depth, dimension, geometry, height, length, multiplication, polyhedra, prisms, rectangles, squares, triangle, volume, width
Algebra (...)
Lesson plan to help students understand independent and dependent variables through a fire probability simulation.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algebra, dependent, independent, input, output, probability, variable
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algorithm, box and whisker, box plot, geometry, pattern, polygon, sets, venn diagram
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, graph, iteration, linear functions, multiplication, multiplier, negative number, pattern, positive number, pre-calculus, recursion, recursive functions, sequences
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, functions, graph, linear equations, linear functions, negative number, planes, slope
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, factors, inverse, modular, multiples, multiplication, remainders, shift cipher, subtraction, time
Introduces students to a geometric derivation of the conic sections.
Grade Level: Grades 9-12
Related Topics: circles, conic section, ellipse, hyperbola, parabola, pre-calculus
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Grade Level: Grades 9-12, Undergraduate
Related Topics: calculus, derivative, differentiate, function properties, graph, linear equations, linear functions, slides, slope, tangent
Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: cartesian coordinate, coordinate, coordinate plane, functions, graph, linear functions, lines
Introduces students to the vertical line test for graphs of functions.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
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
Students learn basic ideas about graphing points on the coordinate plane.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: algebra, axis, cartesian coordinate, coordinate, coordinate plane, coordinate system, graph, linear functions, lines, negative number, number line, pattern, planes, positive number, quadrant, slope
Demonstrates the connections between formulas and graphs.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algebra, cartesian coordinate, constant, coordinate, coordinate plane, coordinate system, functions, graph, input, intercept, linear equations, linear functions, lines, negative number, output, parabola, slope
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
Students learn about definite integrals through limits and Riemann sums
Grade Level: Grades 9-12, Undergraduate
Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals
Introduces the basic ideas needed for understanding functions.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, algebra, arithmetic, dependent, functions, independent, input, integers, linear functions, multiplication, output, pattern, subtraction, variable
Students are introduced to correlation between two variables and the line of best fit.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: best-fit line, bivariate, cartesian coordinate, coordinate plane, correlation, curve fitting, data, deviations, linear equations, linear functions, regression, residual, scatter plot, slope, statistics, variable
Introduces the basic ideas needed for understanding linear functions.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, algebra, arithmetic, associative, commutative, dependent, distributive, division, equivalent, function properties, functions, independent, input, integers, intercept, linear equations, linear functions, multiplication, order of operations, output, pattern, slope, subtraction, table, variable
Demonstrates the connections between formulas, graphs and words.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity
Introduction to various algorithms for solving single-variable, linear equations.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, algorithm, coefficient, fractions, inverse, multiplication, variable
Students will learn about modular arithmetic in order to decipher encrypted messages.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, modular, multiples, multiplication, pattern, remainders, shift cipher, subtraction, time
Introduces students to concepts of transformations.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: angles, cartesian coordinate, coordinate plane, coordinate system, dimension, distance, flips, geometry, glides, graph, hexagon, image, parallelogram, pattern, planes, polygon, pre-image, reflections, rotation, squares, symmetry, tessellations, transformation, translation, transpose, triangles
Probability (...)
Students learn about the concepts and applications of chaos.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, outcomes, percents, probability, probability simulation, theoretical probability
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
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, graph, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: chaos, experimental probability, fractals, fractions, geometric probability, infinity, iteration, outcomes, pattern, percents, probability, probability simulation, random number, recursion, self-similarity, theoretical probability, triangle
Looks at data structures and their applications to probability theory.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: combinatorics, counting, division, divisors, experimental probability, exponents, factors, fair, logarithm, multiplication, outcomes, probability, probability simulation, table, theoretical probability, tree diagram, trials
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
Introduces students to simple probability concepts.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: combinatorics, comparing, counting, events, experimental probability, fractions, geometric probability, intersection, outcomes, percents, probability, probability simulation, random number, sets, statistics, theoretical probability, trials, union, venn diagram
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 learn about probability by predicting the outcome of planned experiments and playing racing games.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: data, events, experimental probability, fair, fractions, outcomes, percents, probability, probability simulation, theoretical probability, trials
Students learn about how probability can be represented using geometry.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: angles, area, circle graph, circles, counting, decimals, degrees, estimation, events, experimental probability, fair, geometric probability, geometry, length, outcomes, percents, polygon, polyhedra, probability, probability simulation, random number, right angle, spinner, statistics, theoretical probability, volume
Students learn about how probability can be represented using geometry.
Grade Level: Grades 3-5
Related Topics: angles, circle graph, circles, counting, decimals, estimation, events, experimental probability, fair, fractions, geometric probability, geometry, outcomes, percents, probability, probability simulation, random number, spinner, statistics, theoretical probability
Considers probability concepts on the basis of statistics in professional sports.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: experimental probability, probability, statistics, theoretical probability
Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: agent modeling, chaos, decimals, estimation, events, experimental probability, outcomes, percents, probability, probability simulation, simulation, statistics, theoretical probability, variable
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
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, combinatorics, conditional probability, events, experimental probability, exponents, fair, fractions, logarithm, multiples, multiplication, outcomes, percents, probability, probability simulation, random number, theoretical probability, tree diagram, 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
Statistics (...)
Students 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, Grades 6-8
Related Topics: bar graph, categorical, data, height, scale, statistics
Introduces students to quartiles and box plots.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: box and whisker, box plot, data, mean, measures of central tendency, median, mode, quartile, range, statistics
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: cartesian coordinate, coordinate, coordinate plane, coordinate system, functions, graph, linear equations, linear functions, negative number, planes, slope
Introduction and fine points of using bar graphs and histograms.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: bar graph, categorical, comparing, counting, data, graph, histogram, intervals, length, mean, numerical, scale, skewed distribution, standard deviation, statistics
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
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
Introduces statistical measures of center.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: arithmetic, histogram, mean, measures of central tendency, median, mode, range, sets, statistics, sum
Students are introduced to correlation between two variables and the line of best fit.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: best-fit line, bivariate, cartesian coordinate, coordinate plane, correlation, curve fitting, data, deviations, linear equations, linear functions, regression, residual, scatter plot, slope, statistics, variable
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
Demonstrates the connections between formulas, graphs and words.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity
Looks at statistics and data analysis concepts from the practical questions that arise in everyday life.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: bar graph, fractions, histogram, percentages, percents, statistics
Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: arithmetic, data, data plot, graph, histogram, mean, measures of central tendency, median, mode, range, statistics, stem and leaf
Introduces the normal distribution and looks at the bell curve controversy.
Grade Level: Grades 9-12, Undergraduate
Related Topics: area, arithmetic, bell curve, continuous distribution, deviations, experimental probability, exponential, histogram, infinity, mean, measures of central tendency, median, mode, normal distribution, outcomes, percents, probability, range, skewed distribution, squares, standard deviation, statistics, theoretical probability, trials, variance
Students learn about the difference between univariate and bivariate data and understand how to choose the best graph to display the data.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: bar graph, bivariate, box and whisker, box plot, cartesian coordinate, categorical, circle graph, circles, coordinate, coordinate plane, correlation, curve fitting, data, data plot, deviations, double bar graph, graph, histogram, intervals, mean, measures of central tendency, median, mode, numerical, outlier, percentages, percents, pie chart, quartile, range, regression, residual, scale, scatter plot, skewed distribution, standard deviation, statistics, stem and leaf, table, univariate
Modeling (...)
Lesson plan to help students understand independent and dependent variables through a fire probability simulation.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algebra, dependent, independent, input, output, probability, variable
Students consider the patterns that emerge from agent models and geometric fractals.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, fractals, pattern, recursion, self-similarity
Introduction to various estimation methods through the simulation of a forest fire.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: estimation, probability, probability simulation
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, graph, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
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
Demonstrates the connections between formulas, graphs and words.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: acceleration, algebra, cartesian coordinate, concave, constant, coordinate, coordinate plane, coordinate system, distance, functions, graph, intervals, linear equations, linear functions, lines, parabola, slope, time, velocity
Discrete (...)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algorithm, box and whisker, box plot, geometry, pattern, polygon, sets, venn diagram
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, graph, iteration, linear functions, multiplication, multiplier, negative number, pattern, positive number, pre-calculus, recursion, recursive functions, sequences
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, factors, inverse, modular, multiples, multiplication, remainders, shift cipher, subtraction, time
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
Students consider the patterns that emerge from agent models and geometric fractals.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, fractals, pattern, recursion, self-similarity
Students learn about factoring by using manipulatives and computer applets.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Finding the factors of whole numbers.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: area, division, divisors, factors, multiples, multiplication, rectangles, whole numbers
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, division, divisors, integers, modular, pascal's triangle, pascals triangle, pattern, remainders, sum, triangle, whole numbers
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, graph, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: agent modeling, chaos, data, decimals, events, experimental probability, fractions, mean, outcomes, percents, probability, probability simulation, simulation, theoretical probability, variance
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: chaos, experimental probability, fractals, fractions, geometric probability, infinity, iteration, outcomes, pattern, percents, probability, probability simulation, random number, recursion, self-similarity, theoretical probability, triangle
Looks at data structures and their applications to probability theory.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: combinatorics, counting, division, divisors, experimental probability, exponents, factors, fair, logarithm, multiplication, outcomes, probability, probability simulation, table, theoretical probability, tree diagram, trials
Introduces students to the vertical line test for graphs of functions.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
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
Outlines the approach to building fractals by cutting out portions of plane figures.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Introduces students to the ideas involved in understanding fractals.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: area, distance, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, multiplication, pattern, percents, perimeter, recursion, scale, segment, self-similarity, sequences, sets
Introduces the basic ideas needed for understanding functions.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, algebra, arithmetic, dependent, functions, independent, input, integers, linear functions, multiplication, output, pattern, subtraction, variable
Introduces students to simple probability concepts.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: combinatorics, comparing, counting, events, experimental probability, fractions, geometric probability, intersection, outcomes, percents, probability, probability simulation, random number, sets, statistics, theoretical probability, trials, union, venn diagram
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Grade Level: Grades 9-12, Undergraduate
Related Topics: chaos, dimension, fractals, geometric sequences, geometry, iteration, logarithm, pattern, planes, polygon, recursion, scale, self-similarity, symmetry
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: addition, arithmetic, division, elapsed time, modular, multiplication, remainders, time
Introduces the basic ideas needed for understanding linear functions.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, algebra, arithmetic, associative, commutative, dependent, distributive, division, equivalent, function properties, functions, independent, input, integers, intercept, linear equations, linear functions, multiplication, order of operations, output, pattern, slope, subtraction, table, variable
Introduces students to the concept of base ten and how to use other base number systems.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, algorithm, arithmetic, base, converting, counting, exponents, modular, multiplication, place value, subtraction
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, combinatorics, distance, division, factors, fractals, fractions, generator, geometric sequences, geometry, infinity, initiator, integers, iteration, length, limit, lines, multiples, multiplication, pascals triangle, pattern, percents, perimeter, quotient, recursion, remainders, scale, segment, self-similarity, sequences, sets, whole numbers
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, arithmetic, chaos, decimals, dimension, fractals, fractions, geometric sequences, geometry, graph, iteration, length, lines, pattern, pythagorean theorem, rectangles, recursion, segment, self-similarity, sequences, surface area, symmetry, triangle
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: arithmetic, binomial, chaos, coefficient, combinatorics, decimals, dimension, division, divisors, factors, fractals, fractions, geometric sequences, geometry, infinity, integers, iteration, length, lines, multiples, multiplication, pascal's triangle, pattern, probability, rectangles, recursion, remainders, segment, self-similarity, sequences, surface area, symmetry, triangle, whole numbers
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 learn about probability by predicting the outcome of planned experiments and playing racing games.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: data, events, experimental probability, fair, fractions, outcomes, percents, probability, probability simulation, theoretical probability, trials
Students learn about how probability can be represented using geometry.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: angles, area, circle graph, circles, counting, decimals, degrees, estimation, events, experimental probability, fair, geometric probability, geometry, length, outcomes, percents, polygon, polyhedra, probability, probability simulation, random number, right angle, spinner, statistics, theoretical probability, volume
Students learn about how probability can be represented using geometry.
Grade Level: Grades 3-5
Related Topics: angles, circle graph, circles, counting, decimals, estimation, events, experimental probability, fair, fractions, geometric probability, geometry, outcomes, percents, probability, probability simulation, random number, spinner, statistics, theoretical probability
Considers probability concepts on the basis of statistics in professional sports.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: experimental probability, probability, statistics, theoretical probability
Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: agent modeling, chaos, decimals, estimation, events, experimental probability, outcomes, percents, probability, probability simulation, simulation, statistics, theoretical probability, variable
A capstone lesson to allow students to build a working definition of fractal.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: area, chaos, dimension, distance, experimental probability, exponents, fractals, fractions, generator, geometric probability, geometric sequences, geometry, infinity, initiator, iteration, length, limit, lines, logarithm, multiplication, outcomes, pattern, percents, perimeter, probability, random number, recursion, scale, segment, self-similarity, sequences, sets, theoretical probability, triangle
Students learn to identify a variety of patterns using sequences and tessellations.
Grade Level: Grades 3-5, Grades 6-8
Related Topics: addition, arithmetic, arithmetic sequences, geometric sequences, hexagon, iteration, multiplication, pattern, planes, polygon, recursion, recursive functions, sequences, squares, symmetry, tessellations, triangle
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
In this lesson, students explore sets, elements, and Venn diagrams.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: counting, element, integers, intersection, pattern, sets, union, venn diagram, whole numbers
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
Students will learn about modular arithmetic in order to decipher encrypted messages.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, affine cipher, arithmetic, cipher, cryptography, decipher, division, encrypt, modular, multiples, multiplication, pattern, remainders, shift cipher, subtraction, time
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Grade Level: Grades 6-8, Grades 9-12, Undergraduate
Related Topics: chaos, complex number, coordinate, coordinate plane, coordinate system, division, escape, exponents, fractals, functions, geometric sequences, geometry, infinity, iteration, julia set, mandelbrot set, multiplication, pattern, planes, prisoner, radius, recursion, recursive functions, self-similarity, sets, symmetry
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: addition, combinatorics, conditional probability, events, experimental probability, exponents, fair, fractions, logarithm, multiples, multiplication, outcomes, percents, probability, probability simulation, random number, theoretical probability, tree diagram, 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
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
Grade Level: Grades 3-5, Grades 6-8, Grades 9-12
Related Topics: element, pattern, sets, venn diagram
Trigonometry (...)
Introduces students to graphing in the Polar coordinate plane
Grade Level: Grades 9-12, Undergraduate
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Students learn how the Pythagorean Theorem works and how to apply it.
Grade Level: Grades 6-8, Grades 9-12
Related Topics: algebra, angles, area, arithmetic, cartesian coordinate, coordinate plane, distance, exponents, geometry, hypotenuse, length, perimeter, pythagorean theorem, right angle, slides, solving equations, squares, triangles, trigonometry
Calculus (...)
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Grade Level: Grades 9-12, Undergraduate
Related Topics: calculus, derivative, differentiate, function properties, graph, linear equations, linear functions, slides, slope, tangent
Students learn about definite integrals through limits and Riemann sums
Grade Level: Grades 9-12, Undergraduate
Related Topics: area, calculus, estimation, function properties, functions, graph, infinity, integral, integrate, intervals
Introduces students to graphing in the Polar coordinate plane
Grade Level: Grades 9-12, Undergraduate
Related Topics: calculus, coordinate plane, coordinate system, cosine, data plot, graph, polar coordinates, pre-calculus, sine, tangent, trigonometry
Other (...)
Introduces students to elapsed time and how to calculate it.
Grade Level: Grades 3-5
Related Topics: addition, counting, elapsed time, modular, subtraction, time
Students practice finding the ending time given the starting time and an elapsed time.
Grade Level: Grades 3-5
Related Topics: addition, arithmetic, counting, elapsed time, modular, subtraction, time
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