Student Resources

Unit I: Patterns and Functional Relationships

eTools

1 Another Hilbert Curve Generator (GT)
This applet allows the user to show how changing the generator slightly in a line replacement fractal can have a significant impact on the final product. The Instructor tab contains discussion questions for a deeper understanding.
2 Caesar Cipher I (GT)
This applet allows the user to experiment with encoding and decoding messages using modular arithmetic.
3 Caesar Cipher II (GT)
This applet allows the user to experiment with encoding and decoding messages using modular arithmetic.
4 Caesar Cipher III (GT)
This applet allows the user to experiment with decoding messages using modular arithmetic.
5 Color Patterns
Description

Graphing Calculator

6 Finding a Linear Pattern using LinReg
This tool will enable the user to identify a linear expression. If user has an initial value and one other point or is given a table this tool will be useful.

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7 Holt Lesson 1.1 Homework Help
Holt Lesson 1.1 Using Differences to Identify Patterns homework helper.
8 Holt Lesson 1.2 Homework Help
Holt Lesson 1.2 Variables, Expressions, and Equations Homework Helper.
9 Holt Lesson 1.3 Homework Help
Holt Lesson 1.3 The Algebraic Order of Operations Homework Helper.
10 Holt Lesson 1.4 Homework Help
Holt Lesson 1.4 Graphing with Coordinates Homework Helper.
11 Holt Lesson 1.5 Homework Help
Holt Lesson 1.5 Representing Linear Patterns Homework Helper.
12 Holt Lesson 1.6 Homework Help
Holt Lesson 1.6 Scatter Plots and Lines of Best Fit Homework Helper.

Videocasts

13 Discovering Math: Graphing Calculator: Graphing a Line - Thunder and Lightning Graph (DE streaming) (GT)
This program details the various functions used to graph a line on the graphing calculator. As a math instructor shows step-by-step keystrokes for a number of graphing functions, students work singly and in groups and share their observations. Colorful graphics further detail the process. The practical applications for graphing a line are also shown in various real-life situations (Student Login: hcpss_student, Password: student).
14 Example 1: A Function Expressed in a Table (DE streaming)
From using expressions to represent relationships to using variables in multiple ways to linear equations and functions to solving simple inequalities, this video introduces middle school students to more advanced properties of functions and algebra (Student Login: hcpss_student, Password: student).
15 Mathematical Eye: Number Patterns: Fibonacci and Others (DE streaming) (GT)
Viewers learn that prime numbers can be found many p laces, including nature. The Golden Ratio is explained, and students are shown the role that Fibonacci's prime numbers play in its calculation. The Lucas Sequence and Pascal's Triangle are demonstrated as well, offering viewers a complete understanding of various types of numbers (Student Login: hcpss_student, Password: student).
16 Patterns and Rules (see ex. 2 Bridges and ex. 3 Bowling) (DE streaming)
From representing patterns in a variety of ways to understanding the concepts of variables and equal relationships, introduce elementary students to more-advanced properties of functions and algebra. All content is tied to national standards and benchmarks (Student Login: hcpss_student, Password: student).
17 Representations of Patterns and Functions (see ex. 1 hourly wage and Representations of Patterns and Functions) (DE streaming)
From using expressions to represent relationships to using variables in multiple ways to linear equations and functions to solving simple inequalities, this video introduces middle school students to more advanced properties of functions and algebra (Student Login: hcpss_student, Password: student).

Unit II: Solving One Variable Equations and Inequalities

Activities

1 Simplifying Algebraic Expressions
This is a site that explains and allows students to practice problems on simplifying algebraic expressions.

eTools

2 Absolute Value Functions
This applet allows the user to explore absolute value functions by comparing the graphs of f(x) and h(x) = |f(x)|
3 Algebra Balance Scales
This virtual manipulative allows you to solve simple linear equations through the use of a balance beam. Once the beam balances to represent the given linear equation, you can choose to perform any arithmetic operation, as long as you DO THE SAME THING TO BOTH SIDES, thus keeping the beam balanced. The goal, of course, is to get a single X-box on one side, with however many unit blocks needed for balance, thus giving the value of X.
4 Algebra Tiles
Visualize multiplying and factoring algebraic expressions using tiles.
5 Scale model for solving multistep equations in one variable
Interactive tool to solve one variable equations. Allows negative coefficients; answers must be integers.
6 Scale model for solving multistep equations in one variable
Interactive tool to solve one variable equations. Allows negative coefficients; answers must be integers.

Games

7 Algebra Four
This activity allows the user to play a game with solving equations where each player tries to connect four game pieces in a row before his or her opponent does. The players can choose to solve linear equations involving various properties of equality as well as solving quadratic equations in standard form. They can also choose the difficulty level and the number of players.
8 Mystery Operations (GT)
In this activity the computer makes up a mystery operation, and you have to figure out what the operation is.
9 Solving Equations Jeopardy
This is an online Quia Jeopardy game with a mixture of solving equations problems for students to practice. For 1 or 2 players.

Graphing Calculator

10 Absolute value
This tool will enable the user to solve an absolute value equation or inequality
11 Steps to Evaluate Expressions
This tool will enable the user to evaluate expressions when given a value for a variable.
12 Steps to Solve a One-Variable Equation
This tool will enable the user to solve one-variable equations.
13 Steps to Sove a One Variable Inequality
This tool will enable the user to solve and graph a one variable inequality

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14 Holt Lesson 2.2 Homework Help
Holt Homework Help for Chapter 2.2, Adding Real Numbers
15 Holt Lesson 2.3 Homework Help
Holt Homework Help for Chapter 2.3, Subtracting Real Numbers
16 Holt Lesson 2.4 Homework Help
Holt Lesson 2.4 Multiplying and Dividing Real Numbers Homework Help.
17 Holt Lesson 2.5 Homework Help
Holt Lesson 2.5 Properties and Mental Computation Homework Help.
18 Holt Lesson 2.6 Homework Help
Holt Lesson 2.6 Adding and Subtracting Expressions Homework Help
19 Holt Lesson 2.7 Homework Helper
Holt Lesson 2.7 Multiplying and Dividing Expressions Homework Helper.
20 Holt Lesson 3.1 Homework Help
Holt Lesson 3.1 Solving Equations by Adding and Subtracting homework help.
21 Holt Lesson 3.2 Homework Help
Lesson 3.2 Solving Equations by Multiplying and Dividing homework help
22 Holt Lesson 3.3 Homework Help
Lesson 3.3 Solving Two-Step Equations homework help
23 Holt Lesson 3.4 Homework Help
Lesson 3.4 Solving Multistep Equations homework help
24 Holt Lesson 3.5 Homework Help
Lesson 3.2 Using the Distributive Property homework help
25 Holt Lesson 6.1 Homework Help
Holt Lesson 6.1 Solving Inequalities homework helper
26 Holt Lesson 6.2 Homework Help
Holt Lesson 6.2 Multistep Inequalities Homework Helper
27 Holt Lesson 6.3 Homework Help
Holt Lesson 6.3 Compound Inequalities Homework Helper.

Tutorials

28 Absolute Value Inequalities: Solving Equations
This website provides a tutorial on how to solve absolute value equations and inequalities.
29 Evaluating algebraic expressions
Evaluating algebraic expressions given the values for all variables.
30 Evaluating numerical expressions
Evaluating numerical expressions focusing on proper order of operations.
31 Holt Chapter 2 Parent Resource
Holt Chapter 2 Parent Resource. Selected text homework problems solved.
32 Holt Chapter 6 Parent Resource
Holt Chapter 6 Parent Resource. Selected text homework problems solved.
33 Literal Equations
This provides 3 resources: Practice, a Class Challenge, and Tutorial for solving literal equations.
34 Solving and graphing inequalities tutorial
Tutorial with short extra practice on solving and graphing inequalities. Practice problems are one step inequalities.
35 Solving and graphing one variable inequalities
A National Repository of Online Courses (NROC) resource, this interactive tutorial contains guided practice solving and graphing one varible inequalities.
36 Solving and Interpreting Absolute Value Expressions and Equations
A National Repository of Online Courses (NROC) resource, this interactive tutorial contains guided practice solving and interpreting absolute value expressions and equations.
37 Solving literal equations
A National Repository of Online Courses (NROC) resource, this interactive tutorial contains guided practice solving multistep equations (USE SECTION 4 ONLY).
38 Solving multistep equations, one variable
A National Repository of Online Courses (NROC) resource, this interactive tutorial contains guided practice solving multistep equations (USE ONLY SECTION 1-3).
39 Solving one-variable equations by undoing division
Solving one variable equations using only multiplication.
40 Solving one-variable equations by undoing multiplication
Solving one variable equations using only division.
41 Writing algebraic expressions or equations given written statement
Given a word statement write the equation. (ex: Three less than a number, n, is equal to 20.)
42 Writing algebraic inequality given written statement
Given a word statement write the inequality. (ex: 5 times a number, n, is greater than 20...5n > 20)

Video Segments

43 Lesson 2: Absolute Value and Solving Equations (DE streaming)
Students are introduced to absolute value, using a number line as reference. They are then challenged to use what they learned about absolute value to solve equations (Student Login: hcpss_student, Password: student).

Videocasts

44 Associative and Distributive Properties (DE streaming)
From operations with whole numbers, fractions, decimals, and integers to rational numbers and root extraction to order of operations, this video introduces middle school students to more-advanced procedures for computation (Student Login: hcpss_student, Password: student).
45 Example 3: Inequalities -- Bridge Capacity (DE streaming)
From using expressions to represent relationships to using variables in multiple ways to linear equations and functions to solving simple inequalities, this video introduces middle school students to more advanced properties of functions and algebra (Student Login: hcpss_student, Password: student).
46 Identity, Inverse, and Commutative Properties (DE streaming)
From operations with whole numbers, fractions, decimals, and integers to rational numbers and root extraction to order of operations, this video introduces middle school students to more-advanced procedures for computation (Student Login: hcpss_student, Password: student).
47 Order of Operations (DE streaming)
From operations with whole numbers, fractions, decimals, and integers to rational numbers and root extraction to order of operations, this video introduces middle school students to more-advanced procedures for computation (Student Login: hcpss_student, Password: student).
48 Solving Open Sentences (DE streaming)
From representing patterns in a variety of ways to understanding the concepts of variables and equal relationships, introduce elementary students to more-advanced properties of functions and algebra. All content is tied to national standards and benchmarks (Student Login: hcpss_student, Password: student).
49 Working with Literal Equations (DE streaming)
Sometimes we need to work with equations that have more than one variable. Practice using what you have learned in real life problems. A literal equation may have more than one variable or constant (Student Login: hcpss_student, Password: student).

Unit III: Non-Linear Functions and Graphs

eTools

1 Function Flyer
This applet allows the user to experiment with changing constants and coefficients in a function.
2 Function Notation
Drag the dot to the correct spot on the graph, then press the "Submit" button to check the answer.
3 Graph Sketcher
This applet allows the user to see functions typed in as algebraic expressions graphed on the coordinate plane.
4 Grapher
This tool allows the user to graph a function, trace a point along the graph, dynamically vary function parameters, change the range of values displayed in the graph, graph multiple functions, restrict the domain of a function, and zoom in on a region of the graph.
5 Polynomial Function Graphing
This website provides numerous dynamically-generated polynomial function examples.
6 Sound Sketch Tool (GT)
Sound can be measured and quantified in many different ways. Sheet music is one way to represent a series of sounds. MP3 players and computers use a different representation to store a sound. This activity includes software that allows you to sketch and quantify sound using two different representations.

Graphing Calculator

7 Curve of Best Fit
This tool will enable the user to find the curve of best fit if they know at least 3 points.
8 Identify the Zeros(roots), Maximum or Minimum of a Parabola
This tool will enable user to find the zeros(roots), maximum and/or minimum of a parabola
9 Line of Best Fit
This tool will enable user to calculate a line of best fit

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10 Holt Lesson 5.1 Homework Help
Holt Lesson 5.1 Linear Functions and Graphs homework helper

Tutorials

11 Graphing Functions
These modules demonstrate how to graph linear and non-linear functions.

Videocasts

12 Example 3: Non-Linear Functions, Maxima, and Minima (DE streaming)
From using expressions to represent relationships to using variables in multiple ways to linear equations and functions to solving simple inequalities, this video introduces middle school students to more advanced properties of functions and algebra (Student Login: hcpss_student, Password: student).
13 Example 3: Non-Linear Functions, Maxima, and Minima--Bouncing Ball (DE streaming)
A bouncing ball reaches a maximum height during its ascent and a minimum height when it touches the floor (Student Login: hcpss_student, Password: student).
14 World Swimming Records (DE streaming)
The world record times for the 400 meter race are explored for both men and women. The data is plotted on a scatterplot and then a line of best fit is drawn. Dave Durton, swim coach at the University of Maryland, talks about his use of statistics as a coach.