Final: Area, Modeled
Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 60 of 62.
A square garden bed is meters on each side. The design makes it a rectangle by adding 5 meters to one side and 2 meters to the other. The new sides are and .
The area of a rectangle is its length times its width. Write the area as the product of the two sides, before you multiply anything out: . The equation keeps both sides visible, so you can see where each number comes from.
Challenge
MediumA second bed is also meters on each side to begin with. It is stretched by 6 meters on one side and 2 meters on the other. Write an equation for its area as a product of the two sides. Do not expand the product.
Start the lesson to read it in the interactive player and track your progress.
All lessons in Exponents & Polynomials
1What a Power Is
Repeated MultiplicationSquares and CubesPowers of Negative NumbersWhere the Minus LivesRecap: First Powers4Power of a Power
A Power Raised AgainWhy Exponents MultiplyProduct Rule or Power Rule?The Rule in LettersRecap: Power of a Power5Product and Quotient Powers
Every Factor Gets the PowerWith a Number InsideA Power of a QuotientAll Three Rules TogetherRecap: Products and Quotients8What a Polynomial Is
Terms with PowersThe DegreeLike Terms, Only StrongerRecap: Meet the Polynomials11Dividing by a Monomial
Splitting the FractionDividing by a Variable TermBigger SplitsCancel with CareRecap: Dividing3The Quotient Rule
Dividing Same BasesWhy Exponents SubtractWith CoefficientsThe Rule in LettersRecap: The Quotient Rule6Zero and Negative Exponents
The Zero ExponentZero at WorkNegative Means ReciprocalWriting Without NegativesPowers of TenRecap: Zero and Negative9Adding and Subtracting
Adding PolynomialsSubtracting PolynomialsThe Minus Reaches EverythingPerimeter as a PolynomialRecap: Add and Subtract12Final Challenges
Final: Three Rules, One LineFinal: Scientific NotationFinal: The Big TidyFinal: Area, ModeledFinal: Area, ExpandedFinal: Divide and Conquer