Background Tutorials

• Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

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    What is a Quadrilateral?

    The term quadrilateral is a really fancy sounding name for a certain kind of polygon. Did you know that there are special types of quadrilaterals? Watch this tutorial to learn about quadrilaterals and their special types.

• Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

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    How Do You Solve an Equation Using Subtraction?

    Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

• Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

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    How Do You Solve an Equation Using Division?

    Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.

• Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

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    What is a Parallelogram?

    A parallelogram is a special type of quadrilateral with some special properties. In this tutorial, take a look at parallelograms and learn what kinds of quadrilaterals can also be called parallelograms!