This activity is designed as an inquiry lesson. It is in the form of a PowerPoint. Some sheets you will need printed and others can be viewed using PowerPoint to guide the lesson.
The students should have the prior knowledge of using the distance formula; solving equations involving square roots; and, simplifying a binomial squared.
Students (in groups) are given a task card which tasks them to solve for a variable in an equation. The variable is the y-coordinate of a point on a parabola. When all the groups have solved for their perspective variable, the groups share out to graph a series of points that can be connected to form a parabola.
Students are prompted to identify commonalities of the points based on the symmetry of the parabola.
I have provided 8 task cards, a share out table, a data table to expand the data, a blank sheet graph, a list of discussion topics, a vocabulary list, and a quick reference procedure slide.
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Task Cards - Lines and Linear Equations
Task Cards - Properties of Exponents
Task Cards - Systems of Linear Equations
Task Cards - Inequalities and Absolute Value Equations
Task Cards - Common Factoring Techniques of Polynomials
Task Cards - Arithmetic Sequences and Series
Task Cards - Exponential Expressions and Equations
Task Cards - Rational Expressions and Equations
Task Cards: Conic Sections - Ellipses
Task Cards: Conic Sections - Hyperbola
Task Cards: Conic Sections - Parabolas