Algebra

PreAlgebra Linear Functions/Graphs
Exponential Growth/Decay Quadratics and Other Conics 
Sinusoidal Equations Sequences
Classzone.com at home tutor

for Algebra 1 and 2 Students

 

 

 

 

PreAlgebra

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Algebra Balance Scale  

 

Geometer's Sketchpad Files

Add Integers.gsp

Subtract Integers.gsp

Subtract Integers Modified

Multiplication Models.gsp

Mystery Machines.gsp

Mystery Combos.gsp

Arithmetic Machines.gsp

 

 

Description:

Factorize

Learn about factors through building rectangular arrays on a grid.

Factorize 2

Learn about factors through building rectangular arrays on a grid.

Converter

Helps students to convert fractions to decimals and decimals to fractions.

Fraction Pointer

Graphically determine the value of 2 given fractions represented as points on a number line then graphically find a fraction whose value is in between the value of the 2 given fractions and determine its value.

Bounded Fraction Pointer

Similar to "Fraction Pointer" but the user gives the values for the fractional points on the number line rather than having the computer randomly generate them.

Fraction Finder

Similar to "Fraction Pointer" but there is no arrow to help the user determine the value of a fraction between the two endpoints.

Bounded Fraction Finder

The same as "Bounded Fraction Pointer" but there is no arrow to help the user determine the value of a fraction between the two endpoints.

Fraction Sorter

Students represents fractions by coloring in the approptiate portions of either a circle or a square, then order those fractions from least to greatest.

Equivalent Fractions Pointer NEW!!

Visually represent equivalent fractions by dividing squares or circles and shading portions equivalent to a given fraction. Also shows the fractional value on a number line as you color in the fraction.

Equivalent Fractions Finder NEW!

Visually represent equivalent fractions by dividing squares or circles and shading portions equivalent to a given fraction. Also shows the fractional value on a number line after you check to see if your fraction is correct.

Fraction Four

Students play a generalized version of connect four, gaining the chance to place a piece on the board by simplifying a fraction. Parameters: Level of difficulty of fractions to simplify.

Arithmetic Four

A game like Fraction Four but instead of fraction questions the player must answer arithmetic questions (addition, subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions

Estimator Four

A game like Fraction Four but asks the players to estimate the answer within a given time span. Parameters: time limit, error tolerance, difficulty level

Estimator

Practice estimation skills by determining the number of objects, length, or area. Parameters: error tolerance.

Comparison Estimator

Similar to Estimator but compares two sets of objects.

More or Less Estimator

Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given.

Venn Diagrams

Students learn about classifying numbers into various categories through answering questions about Venn Diagrams.

Venn Diagram Shape Sorter

Sort colored shapes into a Venn Diagram. Appropriate for elementary grades.

Sequencer

Students learn about number patterns in sequences and recursions by specifying a starting number, multiplier and add-on.

Coloring Multiples in Pascal's Triangle

Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating number patterns, and investigating fractal patterns.

Coloring Remainders in Pascal's Triangle

Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns.

Clock Arithmetic

Students learn about modular arithmetic operations through working with various types of clocks. Parameters: Number of hours on the clock.

Caesar Cipher

Students practice simple arithmetic skills by encoding and decoding messages using an affine cipher.

Caesar Cipher II

Students practice simple arithmetic skills by encoding and decoding messages to determine the form for an affine cipher.

Caesar Cipher III

Students practice their reasoning and arithmetic skills by decoding messages to determine the form for an affine cipher.

The Tortoise and Hare Race

Students step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.

Cantor's Comb

Students learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, also learning about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.

Pattern Generator

Determine and then continue the pattern generated.

Negative Numbers
Rules for Adding Odd and Even Numbers
Decimal Number Operations
Round off Numbers
Square Root

Reading the Whole Number 
Unit Conversion -- Length, Mass & Volume
Unit Conversion -- Speed, Power & Temperature

Rules for Fractions
Reducing to Lowest Term, Improper & Mixed Fraction
Decimal, Fraction & Percentage
Percentage Word Problem

Fraction Tool (NCTM IMath) http://illuminations.nctm.org/mathlets/fraction/index.html

 

 

 

 

 

Linear Equations/Graphs

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Slope Slider

This activity allows the manipulation of a linear function of the form f(x)=mx+b and encourages the user to explore the relationship between slope and intercept in the cartesian coordinate system.

Function Flyer

A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.

Data Flyer

Similar to Function Flyer, but with the capability of plotting data points as well as a function. Then you can tweak the function to fit the data.

Simple Plot

Students can plot ordered pairs of numbers, either as a scatter plot or with the dots connected.

Ordered Simple Plot

Another version of "Simple Plot" which allows the user to plot and connect ordered pairs in the order that they are input. This enables pictures to be drawn by connecting the pairs rather than having the computer connect them from left to right.

Graph Sketcher

Students can create graphs of functions by entering formulas -- similar to a graphing calculator.

Graphit

Students can graph functions and sets of ordered pairs on the same coordinate plane -- similar to a graphing calculator.

General Coordinates Game

Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.

Simple Coordinates Game

Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.

Maze Game

Students investigate the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.

Simple Maze Game

Students investigate the first quardant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.

Function Machine

Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

Linear Function Machine

Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs.

Positive Linear Function Machine

Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs.

Number Cruncher

Similar to the original "Function Machine" but lists input and output in a table and will not let the user attempt to guess the rule on without at least having two data points.

Whole Number Cruncher

Similar to "Number Cruncher" but only generates multiplication and addition functions to avoid outputting any negative numbers.

Vertical Line Test

Students learn about the vertical line test for functions by trying to connect points in the plane to build a function.

Possible or Not?

Drills students on whether a curve satisfies the properties of functions.

The 2 Variable Function Pump

Students enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.

 

 

 

 

 

 

 

 

Exponential Decay/Growth

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IMATH Exponential Decay Investigation – Shedding Light On The Subject

http://illuminations.nctm.org/imath/912/Light/index.html

Powers of Ten Video

Powers of Ten Applet

 

 

 

 

 

 

 

 

 

Quadratic Equations and Other Conics

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Explore Vertex.gsp

Factored Form.gsp

Fountain on a Grid

Geo Parabolas.gsp

Giant Ants.gsp

ParabFct.gsp

ParabStd.gsp

ParabVtx.gsp

Reflector.gsp

Satellite.gsp

Standard Form.gsp

Vertex Form.gsp

Graphing Art Project (Modified) & Rubric

Samples of Graphing Art Project 

 

 

 

 

 

 

 

 

 

Sinusoidal Equations

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Sound Wave Graph

http://illuminations.nctm.org/mathlets/soundwave/index.html

Trig Functions of Any Angle

Unit Circle

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Sequences

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Fibonocci Sequences in Nature

The Golden Ratio

More Examples of the Golden Ratio in Art

Beautiful Faces Assessment from Illinois State Board of Education

 

 

ClassZone.Com

Classzone.com is a companion site to our the McDougall Littell algebra textbooks
  1. Go to http://www.classzone.com
  2. Select Math, High School Math, Illinois (on the map)
  3. Select the appropriate textbook
    1. Algebra 1 and 2 students should select Algebra 1 2007
    2. College Algebra/Trig students should select Algebra 2 2007
  4. Select the chapter you are interested in.
  5. Select @HomeTutor