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Iterative Formula WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSA.REI.B.3, HSA.REI.B.4.B
CCSS Description: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Iterative Formula WORKSHEET DESCRIPTION
This iteration worksheet contains varied and extensive practice in rearranging equations, choosing or confirming iterative formula rearrange to original equations. Learners will use iterative formula to find different values for x and use these to find estimates for solutions to equations, as well as showing that quadratic equations have roots between two given values.
There is a section that looks at iteration and population models where students will use a given iteration formula to predict an increasing population and use population numbers to create an iteration formula in order to predict numbers in a decreasing population.
