MathRealm Pre-Algebra Part 2

Grade Level 6 & Up

Transition your students from procedure-based arithmetic to algebraic thinking. Includes:

• Variables & Expressions
• Integer Operations
• Ratios, Proportions
• Percent Problem Solving
• Equations & Formulas
• Solving One Variable Equation

Present Concepts with Energy and High Impact

MathRealm understands that you are challenged each day to motivate and teach students with a wide range of learning needs. With state-of-the-art, multimedia lessons and activities, Pre-Algebra Part 2 will give you the tools to capture the attention of your students and make your job easier.

The following table is an outline of the interactive multimedia assignments in our pre-algebra part 2 programs -- Reporting and Web programs. The outline is organized by units. Each unit also includes 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.

Ratios, Proportions and Percents
	Ratio	A ratio is a comparison between two numbers.
	Rate	Concepts of rate and unit rate, with examples.
	Proportions	Learn that proportions are compared ratios. Use cross product to determine if proportions are equivalent or to determine their relative size. Solve proportion equations for missing variable.
	Similar Figures	Using proportions to solve for scaled similar figures. Uses interactive example to demonstrate similar figures. Uses proportion equation to solve for similar figures, with examples.
	Scale Model	Shows a scale model of the Space Shuttle.
	Percent Definition	Learn what percents are. Learn about the percent symbol, about fraction and decimal representation.
	Solving Percent Problems	Converting percent word problems to a proportion equation. Learn how to solve percent problems by setting up proportions equations with percents.
	Percent & Proportions Practice	Practice with ratios, proportions and percents. Defines ratios and ratio equality. Proportions and percent equation solving and percent word problems.

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.
	Introduction to Equation 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.