Algebra (20)
Lesson plan to help students understand independent and dependent variables through a fire probability simulation.
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
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 a geometric derivation of the conic sections.
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions.
Students learn basic ideas about graphing points on the coordinate plane.
Demonstrates the connections between formulas and graphs.
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
Students learn about definite integrals through limits and Riemann sums
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Introduces the basic ideas needed for understanding linear functions.
Introduces the basic ideas needed for understanding functions.
Students are introduced to correlation between two variables and the line of best fit.
Demonstrates the connections between formulas, graphs and words.
Introduction to various algorithms for solving single-variable, linear equations.
Students will learn about modular arithmetic in order to decipher encrypted messages.
Introduces students to concepts of transformations.
Introduces students to the vertical line test for graphs of functions.
Calculus (3)
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Students learn about definite integrals through limits and Riemann sums
Introduces students to graphing in the Polar coordinate plane
Discrete (42)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
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.
Students consider the patterns that emerge from agent models and geometric fractals.
Students learn about factoring by using manipulatives and computer applets.
Finding the factors of whole numbers.
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Outlines the approach to building fractals by cutting out portions of plane figures.
Introduces students to concepts that lead to probability.
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
Introduces students to the ideas involved in understanding fractals.
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Introduces the basic ideas needed for understanding linear functions.
Introduces students to simple probability concepts.
Introduces the basic ideas needed for understanding functions.
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
Introduces students to the concept of base ten and how to use other base number systems.
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
This lesson teaches students about theoretical and experimental probability through a series of work stations.
Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Considers probability concepts on the basis of statistics in professional sports.
Students learn about how probability can be represented using geometry.
Looks at data structures and their applications to probability theory.
Students learn about how probability can be represented using geometry.
A capstone lesson to allow students to build a working definition of fractal.
Students learn to identify a variety of patterns using sequences and tessellations.
Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
In this lesson, students explore sets, elements, and Venn diagrams.
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.
Students will learn about modular arithmetic in order to decipher encrypted messages.
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
Considers probability problems with unexpected and surprising answers.
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
Introduces students to the vertical line test for graphs of functions.
Geometry (47)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.
Comparing shapes with the same areas but different perimeters.
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.
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.
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Students learn about the concepts and applications of chaos.
Introduces students to a geometric derivation of the conic sections.
This lesson utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.
Introduces students to elapsed time and how to calculate it.
Students practice finding the ending time given the starting time and an elapsed time.
Students consider the patterns that emerge from agent models and geometric fractals.
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Outlines the approach to building fractals by cutting out portions of plane figures.
Explores lines, planes, angles, and polygons in tessellations.
Students learn basic ideas about graphing points on the coordinate plane.
Introduces students to the ideas involved in understanding fractals.
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 quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids.
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Introduces students to length, perimeter and area.
Introduces students to lines, rays, line segments, and planes.
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
Introduces students to the concept of perimeter.
Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets.
Students learn about how probability can be represented using geometry.
Students learn about how probability can be represented using geometry.
A capstone lesson to allow students to build a working definition of fractal.
Students learn how the Pythagorean Theorem works and how to apply it.
Students learn to identify a variety of patterns using sequences and tessellations.
In this lesson, students explore sets, elements, and Venn diagrams.
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.
Introduces students to the concepts of surface area and volume.
This lesson teaches students how to find the surface area of non-rectangular prisms.
This lesson teaches students how to find the surface area of rectangular prisms.
Examines plane symmetry.
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
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.
Introduces students to concepts of transformations.
Students learn about finding the area of a triangle.
Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.
This lesson teaches students how to find the volume of non-rectangular prisms.
This lesson teaches students how to find the volume of rectangular prisms.
Modeling (7)
Lesson plan to help students understand independent and dependent variables through a fire probability simulation.
Students consider the patterns that emerge from agent models and geometric fractals.
Introduction to various estimation methods through the simulation of a forest fire.
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
Demonstrates the connections between formulas, graphs and words.
Number and Operations (33)
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
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.
Introduction to various estimation methods through the simulation of a forest fire.
Students practice and improve upon their estimation skills.
Introduces students to making estimations.
Students learn about factoring by using manipulatives and computer applets.
Finding the factors of whole numbers.
Uses modular (clock) arithmetic to find patterns in Pascal's Triangle.
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Students learn how to convert from fractions to decimals.
Students learn how to convert from fractions to percentages.
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
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.
Outlines the approach to building fractals by cutting out portions of plane figures.
Introduces students to the ideas involved in understanding fractals.
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
Looks at how irregular fractals can be generated and how they fit into computer graphics.
Introduces students to modular (clock) arithmetic and its uses in real world problem-solving.
Reinforces skills associated with multiplying fractions and mixed numbers.
Introduces students to the concept of base ten and how to use other base number systems.
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
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.
A capstone lesson to allow students to build a working definition of fractal.
Students learn to identify a variety of patterns using sequences and tessellations.
In this lesson, students explore sets, elements, and Venn diagrams.
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.
Students will learn about modular arithmetic in order to decipher encrypted messages.
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
Probability (17)
Students learn about the concepts and applications of chaos.
Introduces conditional probability and the probability of simultaneous events.
Introduces students to probability simulation, allowing them to explore computer modeling while learning about probability.
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
Introduces students to concepts that lead to probability.
Introduces students to simple probability concepts.
This lesson teaches students about theoretical and experimental probability through a series of work stations.
Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Considers probability concepts on the basis of statistics in professional sports.
Students learn about how probability can be represented using geometry.
Looks at data structures and their applications to probability theory.
Students learn about how probability can be represented using geometry.
Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
Considers probability problems with unexpected and surprising answers.
Science (2)
Introduces students to elapsed time and how to calculate it.
Students practice finding the ending time given the starting time and an elapsed time.
Statistics (14)
Students learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs.
Introduces students to quartiles and box plots.
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
Introduction and fine points of using bar graphs and histograms.
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
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.
Introduces statistical measures of center.
Students are introduced to correlation between two variables and the line of best fit.
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.
Demonstrates the connections between formulas, graphs and words.
Looks at statistics and data analysis concepts from the practical questions that arise in everyday life.
Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
Introduces the normal distribution and looks at the bell curve controversy.
Students learn about the difference between univariate and bivariate data and understand how to choose the best graph to display the data.
Trigonometry (2)
Introduces students to graphing in the Polar coordinate plane
Students learn how the Pythagorean Theorem works and how to apply it.