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## Completing the square

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**Completing the square**Another method to solve quadratics**What does a square look like?**Is this a square? What about this one? This one? Why isn’t the last picture a square?**Question…**• What would we need to do to make this a square? • Right, we would need to fill in the missing bottom section.**Same with quadratics**• We can model a quadratic expression like this • with tiles like this... This is the Split the x piece in 2 and put 1/2 here rest here The constant (4) goes here**Now it’s your turn**• Each group has some squares and rectangles. Practice showing completing the square for the following problems: • Write the problems on a piece of paper and fill in the blanks when you find the number of small squares needed to complete the square. + 8x +____**What did you notice?**• Take 3 minutes and discuss some of the things you notice about what happened when you worked out those problems. Write your observations under the problems on the paper. • What were the answers you got for the problems + 8x + 16