Fifth Grade Online Demonstration/Exploration Tools

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Explanation of Column Headings
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Page Contents:

Number and Operations
Algebra
Geometry
Measurement
Data Analysis and Probability

Number and Operations

Broad Expectation*	Topic	Link to Applet and Description	How good for teacher demos (1-3)?	How easy for students (1-3)?	How good for exploration (1-3)?	Available activities
Understand numbers, ways of representing numbers, relationships among numbers, and number systems	Fractions	Fraction Pieces – Work with parts and wholes to learn about fractions.	3	3	3
	Fractions	Fractions - Equivalent - illustrates equivalent fractions.	3	3	2	built in
	Fractions	Fractions - Naming – Write the fraction corresponding to the shaded portion of a shape.	3	3	2	built in
	Fractions	Fractions - Parts of a Whole – Relates parts of a whole unit to written description and fraction.	3	3	2
	Fractions	Fractions - Visualizing – Model a fraction by dividing the shape and shading the appropriate parts.	3	3	3	built in
	Decimals	Base Blocks Decimals - Model addition and subtraction of decimals.	3	3	2	built in
	Decimals	Decifractator – Start with a fraction. Change the numerator or denominator and see what happens to the decimal equivalent.	3	3	3

Understand meanings of operations and how they relate to one another	Multiplication	Rectangle Multiplication – Visualize the multiplication of two numbers as an area.	3	3	2

Compute fluently and make reasonable estimate

Algebra

Broad Expectation*	Topic	Link to Applet and Description	How good for teacher demos (1-3)?	How easy for students (1-3)?	How good for exploration (1-3)?	Available activities
Understand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Geometry

Broad Expectation*	Topic	Link to Applet and Description	How good for teacher demos (1-3)?	How easy for students (1-3)?	How good for exploration (1-3)?	Available activities
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Specify locations and describe spatial relationships using coordinate geometry and other representational systems

Apply transformations and use symmetry to analyze mathematical situations

Use visualization, spatial reasoning, and geometric modeling to solve problems

Measurement

Broad Expectation*	Topic	Link to Applet and Description	How good for teacher demos (1-3)?	How easy for students (1-3)?	How good for exploration (1-3)?	Available activities
Understand measurable attributes of objects and the units, systems, and processes of measurement	Perimeter and Area	Cyberchase Airlines Builder Game - Drag (and sometime rotate) segments to make a spaceship. A spaceship must be an enclosed shape. Fixed perimeter. Find the shapes.	1	3	3	Airline Game
	Mass	Pan Balance: Shapes - This double pan balance provides an environment in which to consider the concept of equivalence.	3	3	3	Find the Lightest Pan Balance 2 Pan Balance 3
Apply appropriate techniques, tools, and formulas to determine measurements

Data Analysis and Probability

Broad Expectation*	Topic	Link to Applet and Description	How good for teacher demos (1-3)?	How easy for students (1-3)?	How good for exploration (1-3)?	Available activities
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them	Graphing Data	Create a Graph Tool - for students (others) to make statistical graphs (NCES).	3	2	3

Select and use appropriate statistical methods to analyze data

Develop and evaluate inferences and predictions that are based on data

Understand and apply basic concepts of probability	Experimental probability	Spinners - Can make various spinners with equal or unequal regions. Spin once or multiple times. Results table provided.	3	3	3	Spinner Game

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Click here for the Index for >> Online Math Games, Demonstration/Exploration Tools, and Puzzles

Explanation of Column Headings

(This page is organized using the five content areas in school mathematics, as articulated in the NCTM Principles and Standards, 2000.)

Broad Expectation - from NCTM Principles and Standards (2000) for each of the five NCTM Content Standards
Topic - Mathematical topic
Link to Applet and Description - A description of the applet and hyperlink to the page.
How good for teacher demonstrations (1-3)? - Is this applet good for the teacher to use in a class demonstration?

3=Excellent for class demonstrations of mathematics
2=Fair to Good for class demonstrations of mathematics
1=Not designed for class demonstrations of mathematics
How easy for students (1-3)? - How easy is the applet for students to use, without instruction?

3 = No advance instruction needed (very easy to use).
2 = Short demonstration helpful (pretty easy to use).
1 = Extensive demonstration needed (hard to use without an explanation).

How good for exploration (1-3)? - Is this applet designed for student exploration?

3=Excellent for student exploration of mathematics.
2=Fair to Good for student exploration of mathematics.
1=Not designed for student exploration of mathematics.
Available activities - Are there student activities already written to accompany this applet? If so, links are provided.

by: James R. Olsen, Western Illinois University
updated: December 14, 2011