# Completing the square card sort

The purpose of this activity is for students to solve quadratic equations of the sort that result from completing the square, including equations that have solutions that involve imaginary numbers. The left hand side of each equation uses the same expression \((x-5)^2\) so that students can focus on what taking the square root does in each case. In this way, students are primed to make use of structure to see how imaginary numbers arise when solving quadratic equations (MP7).

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That’s just a fancy way of saying that completing the square is a technique that transforms your quadratic equation from an equation that can’t be factored into one that can. Completing the square applies to even the trickiest quadratic equations, which you’ll see as we work through the example below.

See if you can solve our completing the square practice problems at the top of this page, and use our step-by-step solutions if you get stuck. At Cymath, not only do we aim to help you understand the process of solving quadratic equations and other problems, but we also give you the practice you need to succeed over the long term.

Use this calculator to complete the square for any quadratic expression. Enter any valid number, including fractions into the text boxes and our calculator will perform all work, while you type! If you are interested in learning more about completing the square or in practicing common problem types for...

Completing a Property Record Card The valuation of commercial and industrial yard structures is recorded in the ―Summary of Improvements‖ section of the property record card, shown in Figure 7-1. Space is provided in the table to itemize each yard structure. Each row corresponds to one particular yard structure.

Completing the Square. Say we have a simple expression like x2 + bx . Having x twice in the same expression can make life hard. Step 3 Complete the square on the left side of the equation and balance this by adding the same number to the right side of the equation.

LEGO® Architecture interpretation of the real-world London landmark, Trafalgar Square. Features the National Gallery, Nelson’s Column flanked by 4 lions, 2 fountains, 4 sculpture plinths, 10 trees, 6 lampposts, and a tiled baseplate depicting the square and road areas complete with 2 London buses and 2 black cabs.

What sort of rubbish do we generate? Sort the items below into the correct categories. Category food Item 1 jar of strawberry jam 2 can of cola 3 magazine 4 toilet roll 5 banana skin 6 shopping bag 7 shirt, socks 8 carton of juice 9 bottle of mineral water paper glass plastic cardboard metal Tetra Pak PET...Completing the Square Calculator. Equation: Variable: A A b B c C d D e E f F g G h H i I j J k K l L m M n N o O p P q Q r R s S t T u U v V w W x X y Y z Z AUTO. Example Equation. Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees.A challenging hands-on student-centered activity in which students work together to match cards across three different representations of an important mathematical concept. Packet includes printable card sets at three different levels of support, as well as a warm-up, exit ticket, and guided preparatory activity.