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| Algorithm Discovery with Venn Diagrams |
Allows students to sort different shapes into Venn diagrams.
(Grades 3-5, Grades 6-8, Grades 9-12)
| | An Introduction to Arithmetic and Geometric Sequences |
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
(Grades 6-8, Grades 9-12)
| | Clock Arithmetic and Cryptography |
Introduces students to modular (clock) arithmetic and how modular arithmetic can be used to encode messages using simple shift, multiple and affine ciphers.
(Grades 6-8, Grades 9-12)
| | Comparing Fractions |
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
(Grades 3-5, Grades 6-8)
| | Estimation |
Introduces students to making estimations.
(Grades 3-5, Grades 6-8)
| | Estimation (elementary) |
Students practice and improve upon their estimation skills.
(Grades 3-5)
| | Factors |
Students learn about factoring by using manipulatives and computer applets.
(Grades 3-5)
| | Finding Factors |
Finding the factors of whole numbers.
(Grades 3-5, Grades 6-8)
| | Fraction Conversion |
Motivate converting fractions to decimals with the use of money.
(Grades 3-5)
| | Fraction Facts |
Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents.
(Grades 6-8)
| | Fraction King |
Students and teacher play a game called "Fraction King" to seed the idea of taking fractions of whole numbers then use manipulatives and several computer applets to concretize the idea.
(Grades 3-5)
| | Ideas for Working with Fractions |
Students get practice working with conversion of fractions, decimals, percents through using several of the Interactivate activities.
(Grades 3-5)
| | Multiplying Decimals and Mixed Numbers |
Reinforces skills associated with multiplying decimals and mixed numbers.
(Grades 3-5, Grades 6-8)
| | Pascal's Triangle |
Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.
(Grades 6-8, Grades 9-12)
| | Patterns in Fractals |
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
(Grades 6-8, Grades 9-12)
| | Patterns in Pascal's Triangle |
Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.
(Grades 6-8, Grades 9-12)
| | Practicing Arithmetic |
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.
(Grades 6-8)
| | Recognizing Patterns |
Students learn to identify a variety of patterns using sequences and tessellations.
(Grades 3-5)
| | Sets and the Venn Diagram |
Introduces students to the notions of sets, elements, and Venn diagrams.
(Grades 3-5, Grades 6-8, Grades 9-12)
| | Sorting with Venn Diagrams |
Students learn how to classify items and numbers on Venn Diagrams using computer applets.
(Grades 3-5)
| | Spy Game |
Students will learn about modular arithmetic in order to decipher encrypted messages.
(Grades 3-5)
| | Venn Diagrams |
Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
(Grades 3-5)
|
| An Introduction To Quadrilaterals |
Introduces students to quadrilaterals with an emphasis on defining characteristics of parallelograms, rectangles, and trapezoids.
(Grades 6-8, Grades 9-12)
| | Angles |
Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.
(Grades 6-8, Grades 9-12)
| | Angles (elementary) |
Students learn about classifying angles by their measure and in relation to angles formed by two lines crossed by a transversal.
(Grades 3-5)
| | Area |
Comparing shapes with the same areas but different perimeters.
(Grades 6-8)
| | Area (elementary) |
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.
(Grades 3-5)
| | Estimation (elementary) |
Students practice and improve upon their estimation skills.
(Grades 3-5)
| | Fractals and the Chaos Game |
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
(Grades 6-8, Grades 9-12)
| | Geometry in Tessellations |
Explores lines, planes, angles, and polygons in tessellations.
(Grades 6-8, Grades 9-12)
| | Introduction to Fractals: Geometric Fractals |
Outlines the approach to building fractals by cutting out portions of plane figures.
(Grades 6-8, Grades 9-12)
| | Introduction to Fractals: Infinity, Self-Similarity and Recursion |
Introduces students to the ideas involved in understanding fractals.
(Grades 6-8, Grades 9-12)
| | Irregular Fractals |
Looks at how irregular fractals can be generated and how they fit into computer graphics.
(Grades 6-8, Grades 9-12)
| | Length, Perimeter, and Area |
Introduces students to length, perimeter and area.
(Grades 3-5, Grades 6-8)
| | Lines, Rays, Line Segments, and Planes |
Introduces students to lines, rays, line segments, and planes.
(Grades 6-8, Grades 9-12)
| | Patterns in Fractals |
Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
(Grades 6-8, Grades 9-12)
| | Perimeter |
Introduces students to the concept of perimeter.
(Grades 3-5, Grades 6-8)
| | Perimeter (elementary) |
Students learn about perimeter and the units used to measure perimeter using a variety of materials including their hands, feet, rulers, and computer applets.
(Grades 3-5)
| | Probability and Geometry |
Students learn about how probability can be represented using geometry.
(Grades 6-8, Grades 9-12)
| | Properties of Fractals |
A capstone lesson to allow students to build a working definition of fractal.
(Grades 6-8, Grades 9-12)
| | Pythagorean Theorem |
Students learn how the Pythagorean Theorem works and how to apply it.
(Grades 6-8, Grades 9-12)
| | Surface Area and Volume |
Introduces students to the concepts of surface area and volume.
(Grades 6-8, Grades 9-12)
| | Tessellations: Geometry and Symmetry |
Examines plane symmetry.
(Grades 6-8, Grades 9-12)
| | The Mandelbrot Set |
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
(Grades 6-8, Grades 9-12)
| | Translations, Reflections, and Rotations |
Introduces students to concepts of transformations.
(Grades 6-8, Grades 9-12)
| | Triangle Area |
Students learn about finding the area of a triangle.
(Grades 3-5)
| | Visual Patterns in Tessellations |
Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.
(Grades 6-8, Grades 9-12)
|
| An Introduction to Arithmetic and Geometric Sequences |
Introduces students to arithmetic and geometric sequences. Students explore further through producing sequences by varying the starting number, multiplier, and add-on.
(Grades 6-8, Grades 9-12)
| | Cartesian Coordinate System |
Introduces students to plotting points on the Cartesian coordinate system -- an alternative to "Graphing and the Coordinate Plane."
(Grades 6-8)
| | Functions and the Vertical Line Test |
Introduces students to the vertical line test for graphs of functions.
(Grades 6-8, Grades 9-12)
| | Graphing and the Coordinate Plane |
Students learn basic ideas about graphing points on the coordinate plane.
(Grades 6-8)
| | Graphs and Functions |
Demonstrates the connections between formulas and graphs.
(Grades 6-8, Grades 9-12)
| | Impossible Graphs |
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
(Grades 6-8, Grades 9-12)
| | Introduction to Fractals: Infinity, Self-Similarity and Recursion |
Introduces students to the ideas involved in understanding fractals.
(Grades 6-8, Grades 9-12)
| | Introduction to Functions |
Introduces the basic ideas needed for understanding functions.
(Grades 6-8, Grades 9-12)
| | Irregular Fractals |
Looks at how irregular fractals can be generated and how they fit into computer graphics.
(Grades 6-8, Grades 9-12)
| | More Complicated Functions: Introduction to Linear Functions |
Introduces the basic ideas needed for understanding linear functions.
(Grades 6-8, Grades 9-12)
| | Properties of Fractals |
A capstone lesson to allow students to build a working definition of fractal.
(Grades 6-8, Grades 9-12)
| | Reading Graphs |
Demonstrates the connections between formulas, graphs and words.
(Grades 6-8, Grades 9-12)
|
| Chaos |
Students learn about the concepts and applications of chaos.
(Grades 6-8, Grades 9-12)
| | Conditional Probability and Probability of Simultaneous Events |
Introduces conditional probability and the probability of simultaneous events.
(Grades 6-8, Grades 9-12)
| | Fire!, Probability, and Chaos |
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
(Grades 6-8, Grades 9-12)
| | Fractals and the Chaos Game |
Outlines the approach to playing the chaos game and how it relates to geometric fractals.
(Grades 6-8, Grades 9-12)
| | From Probability to Combinatorics and Number Theory |
Looks at data structures and their applications to probability theory.
(Grades 6-8, Grades 9-12)
| | Ideas that Lead to Probability |
Introduces students to concepts used which lead to probability.
(Grades 6-8, Grades 9-12)
| | Introduction to the Concept of Probability |
Introduces students to simple probability concepts.
(Grades 6-8, Grades 9-12)
| | Playing with Probability |
(Grades 3-5)
| | Probability |
Students learn about probability by predicting the outcome of planned experiments and playing racing games.
(Grades 3-5)
| | Probability and Geometry |
Students learn about how probability can be represented using geometry.
(Grades 6-8, Grades 9-12)
| | Probability and Sports |
Considers probability concepts on the basis of statistics in professional sports.
(Grades 6-8)
| | Probability: Playing with Fire |
Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
(Grades 3-5)
| | Replacement and Probability |
Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.
(Grades 6-8, Grades 9-12)
| | Tree Diagrams and Probability |
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
(Grades 6-8, Grades 9-12)
| | Unexpected Answers |
Considers probability problems with unexpected and surprising answers.
(Grades 6-8, Grades 9-12)
|
| Box Plots |
Introduces students to quartiles and box plots.
(Grades 6-8, Grades 9-12)
| | Histograms and Bar Graphs |
Introduction and fine points of using bar graphs and histograms.
(Grades 6-8, Grades 9-12)
| | Introduction to Bar Graphs |
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.
(Grades 3-5)
| | Introduction to Statistics: Mean, Median, and Mode |
Introduces statistical measures of center.
(Grades 6-8, Grades 9-12)
| | Linear Regression and Correlation |
Students are introduced to correlation between two variables and the line of best fit.
(Grades 6-8, Grades 9-12)
| | Misleading Graphs |
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.
(Grades 3-5, Grades 6-8)
| | Statistics and Shopping |
Looks at statistics and data analysis concepts from the practical questions that arise in everyday life.
(Grades 6-8, Grades 9-12)
| | Stem-and-Leaf Plots |
Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
(Grades 6-8, Grades 9-12)
| | The Bell Curve |
Introduces the normal distribution and looks at the bell curve controversy.
(Grades 6-8, Grades 9-12)
|
| Algorithm Discovery with Venn Diagrams |
Allows students to sort different shapes into Venn diagrams.
(Grades 3-5, Grades 6-8, Grades 9-12)
| | Fire!, Probability, and Chaos |
Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
(Grades 6-8, Grades 9-12)
| | Impossible Graphs |
Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.
(Grades 6-8, Grades 9-12)
| | Reading Graphs |
Demonstrates the connections between formulas, graphs and words.
(Grades 6-8, Grades 9-12)
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