Math+Manipulatives

Many of the following are Flash files (.swf) from the UK. These files can be downloaded and embedded into a Smartboard notebook file or Promethian flipchart. The Java Applets must be viewed with an internet browser

[|Math Tools] - Search and Browse Applets [|Hayes ISD] - for elem. levels but lots of good manipulative sites [|illuminations.nctm.org/] [|IES Math] products - Japan [|www.mathsframe.co.uk] [|www.shodor.org/] or browse by [|topic] [|Wisweb] [|arcytech.org/java/] [|jc-schools.net/] [|www.cut-the-knot.org/] [|www.ctap4.net/projects/] [|edweb.tusd.k12.az.us/] [|nrich.maths.org/public/] [|NCTM standards-based lessons] [|Geometric Solids] [|Visual Fractions] [|Shine + Write] [|Johnny's Math Page] [|Mathcats] [|nummòlt] [|www.permadi.com] [|obbl] [|Elem. level applets] [|CTTE Macromedia flash activities] [|Think Math]
 * Java Applet Manipulative Libraries - "Mathlets"**

 [|Birmingham (UK) IWB links]

[|Utah Education Network Libraries 3-6] [|Utah Education Network Libraries 7-12]

[|Number & Operations] [|Algebra] [|Geometry] [|Measurement] [|Data Analysis & Probability]
 * Nat. Library of Virtual Manipulatives **

[|Bisection] [|Box Plots] [|Integer Multiplication] [|Median] [|Pythagorean Theorem] [|Rate] [|Rounding] [|Surface Area]
 * [|Brainingcamp Virtual Manipulatives] (also has lessons, questions, and real world problems) **

**[|The Standards Site(UK)]: Lots of flash resources to download and try including:** [|Area Grid Tool] [|Calculating Angles] [|Coordinates] [|Data Handling] [|Decimal Number Line] [|Difference] [|Fixing Points] [|Fractions] [|Grouping] [|Grid for rows and columns] [|Isometric Grid] [|Line Graph] [|Measuring Cylinder] [|Measuring Scale] [|Multiplication Facts] [|Multiplication Grid] [|Number Dial] [|Number Facts] [|Number Grid] [|Number Line] [|Number Spinner] [|Ordering Numbers] [|Place Value] [|Polygon] [|Ruler] [|Sort Shape by Color and Shape] [|Sort Shapes by Angles] [|Sort Triangles and other Shapes] [|Symmetry] [|Tell the Time] [|Thermometer] [|Twenty Cards]

**Coventry www.wmnet.org.uk. ** [|Number Line] [|Place Value] [|Decimal Place Value with Base 10 models] [|Expanded Addition] [|Subtraction] [|Operations] [|Operations - //Lost//: Hit the Button!] [|Order Cards] [|Fraction Operations] [|Fraction Decimal Percent] [|Carroll Diagram] [|Count Down Timer]

[] [|Customizable Dice] [|Base 10 Blocks:]Click on Go Directly to Activity [|Base 10 Blocks]: Whole Decimal Numbers, Place Value, and Algebra [|The Pythagorean Theorem]: Figure it out all by yourself [|Discovering the Value of Pi] [|Fractals]: Exploring its simplicity, beauty, and mathematics [|nces.ed.gov/] Enter data and create a graph

The following are direct links to [|www.shodor.org/interactivate]

[|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) || **Geometry** (25) [|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) || **Algebra** (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) || **Probability** (15) [|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) || **Statistics** (9) [|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) || **Modeling** (4) [|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) || **Discrete** (3) [|From Probability to Combinatorics and Number Theory] || Looks at data structures and their applications to probability theory. (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) || [|Venn Diagrams] || Help students learn about classifying numbers into various categories through answering questions about Venn Diagrams. (Grades 3-5) ||