MathRealm Algebra Part 1

Grade Level 7 & Up
Learn what algebra means and how to use it in the real world. Students work with and manipulate equations and linear graphing techniques.

The following table is an outline of the interactive multimedia assignments in our algebra part 1 programs -- Reporting and Web programs. The outline is organized by units. Each unit may also include a Pre- and Post-Test, depending on the program and has multiple assignments that include lessons, practice, learning tools and enrichment activities (Extras). Try an Activity: Each unit only has one sample assignment that is active – this is the assignment in red.
Trial requirements.
Note: Trial Assignments are opened in a pop-up window. You need to be sure pop-up windows are enabled for www.mathrealm.com. Sometimes just holding down the 'Ctrl' key when clicking a link will work.

Expressions
What is a variable? Lesson teaching the concept of what a variable is. Uses interactions and examples to build the concept of a variable.
Variable Machine An interactive variable machine helps develop an understanding of what variables are and how to use algebraic letters in expressions representing real life situations. Verbal models are turned into expressions by dragging numbers, variables and operators to the machine; the machine generates the expression and acknowledges whether or not the selection is correct.
Algebra Eyes Learn the transformation of the times sign to no sign for variables. Learn to use the division bar instead of the division sign. Animated examples.
Exponents Introduces exponents as repeated multiplication. Introduces squared and its relationship to area. Introduces the relationship between volume and cubes.
Order of Operations Learn the order of operations. Uses the mnemonic "Please Excuse My Dear Aunt Sally" to explain the order of operations.
Expression Evaluation Using order of operations, gives examples of evaluating expressions. Develops an evaluation checklist.
Algebraic Expressions Example of converting mathematical word phrases in to algebraic expressions. Many examples. Variable and numeric expressions.
Expression Practice Practice evaluating expressions using order of operations. Practice building expressions using expression tiles. Three skill levels.
Real Numbers
Negative Numbers Uses examples to demonstrate negative numbers.
Real Number Line Learn about the real number line and how to graph a point. Learn the concept of the opposite number.
Ordering Real Numbers Compare real numbers with negative and positive values. Uses number line and drag and drop activity to compare relative values and their place on the number line.
Absolute Value Concept of absolute value. Uses the real number line and distance to present concept.
Adding Real Numbers Learn the concept and rules for adding positive and negative real numbers. Examples and an application with area. Properties of addition presented.
Subtracting Real Numbers Learn the concept and rules for subtracting real numbers. Uses an interactive real number line activity to develop the concept. Subtraction rules and simplifying techniques are presented.
Multiplying Real Numbers Learn to count the negative signs when multiplying real numbers. Properties of multiplication are presented.
Dividing Real Numbers Learn to count the negative signs when dividing real numbers. Division rule is presented.
Real Number Properties The distributive property is presented and the rules and properties of real number operations is reviewed.
Expressions with Real Numbers Evaluating expressions with real (negative and positive) numbers with the order of operations. A procedure is presented.
Real Expression Practice Practice evaluating expressions with real numbers using order of operations. Problems are randomly generated in three skill levels.
Equations, Inequalities & Functions
Equations Teaches the concept of an equation's balance. Uses balance beam and tiles interactively to explore balance.
Formulas Explore formulas as an application of equations. Uses force, speed, area and perimeter as interactive examples.
Functions Learn about functions and their applications. Real world examples are used to explore function applications, their domains and ranges. Equation, graph, table and plot examples are explored.
Inequalities Learn about inequality sentences, graphing one variable inequalities and compound inequalities. Real world examples and interactive explorations.
Geometry Connections Connecting formulas and functions to plane and solid geometry. Explore area and volume by manipulating figure parameters.
Intro. Eqn. Solving Examples of equations. Relationship and differences between expressions and equations. User can solve a simple equation.
Solving Linear Equations
One Step Equation: Add-Subtract Interactively learn to solve one step equations with addition and subtraction transformations. Uses an interactive balance beam to develop conceptual understanding. Identify the inverse operation and operate on both sides of the equation. A check list is developed.
Practice Add-Subtract Practice solving equations with addition and subtraction transformations. Randomly generated problems -- can practice all you want.
One Step Equation: Multiply-Divide Interactively learn to solve one step equations with multiplication and division transformations. Identify the inverse operation and operate on both sides of the equation. A check list is developed.
Practice Multiply-Divide Practice solving equations with multiplication and division transformations. Randomly generated problems -- can practice all you want.
Solving Multi-Step Equations Interactively learn to solve multi-step equations and equations with variables on both sides of the equation. Multiple transformations are used to isolate and solve for the variable. Collecting variables on one side of the equation is explored with interactive examples. A check list is developed.
Practice Multi-Step Equations Practice solving two step equations with one variable. Randomly generated problems -- can practice all you want.
Equations Properties Properties and transformations useful to solving one variable linear equations.
Graphing Linear Equations
Graphing Plane Learn coordinate plane parts and points on plane. Interactively explore the coordinate plane names, move point in plane and see its coordinate change.
Graphing One Variable Learn that equations of variables are either horizontal or vertical lines. Move the lines to see the one variable equation change.
Practice Graphing One Variable Practice identifying one variable equation graphs by matching one variable equations to a graph.
Graphing 2 Variable Equation Procedure for graphing a 2 variable line equation. Isolate one variable, substitute values for one variable, evaluate for the other variable, put in a table of points and plot the coordinate pairs. Join coordinate pairs with a line.
Two Variable Graph Practice Practice identifying linear graphs by matching two variable equations to a graph.
Quick Graph with Intercepts Quickly graph a linear equation by finding the axes intercepts. By setting, one at a time, the x and y variables to zero you find two points of the line and then sketch the line.
Line with Two-Points Tool Line from 2-points with slope and standard form notations. Interactively move the two-points and see the line, slope and standard form equation change.
Slope Calculation Calculate the slope of a linear equation given two points that are solutions of the equation.
Slope Calculation Practice Calculate the slope of a linear equation given two points that are solutions of the equation.
Slope-Intercept Graphing Transform a linear equation into slope-intercept form and quickly sketch the graph using this form. Use the intercept as one line point and the slope to sketch the line.
Slope-Intercept Tool Slope-intercept form. Manipulate the slope and intercept coefficients with sliders.
Slope-Intercept Practice Practice identifying linear graphs by matching slope-intercept form equations to a graph.
Linear Absolute Value Tool Linear absolute value functions y=f(x), y=|f(x)|, y =f(|x|), of y = mx + b. Manipulate the slope and intercept coefficients with sliders.
Linear Inequality Tool Linear inequality in slope-intercept form. Manipulate the slope and intercept coefficients with sliders.

System Requirements

Our multimedia activities use the Free Adobe’s Shockwave browser plug-in. You can download it here.

The worksheets are in Portable Document Format (PDF). For this you need the FREE Acrobat Reader. If you do not have it on your computer you can down load it here.