Reflection #7

Lesson 1: Hitting the Bull’s Eye
Target Audience: 10th and 11th grade Algebra II students
Big Idea: To use graphing calculator technology to teach experimental probability and make connections with geometry and algebra.
Goal: The students will learn a different use of a graphing calculator other than to just graph and do arithmetic.
Standards:
A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
A2.1.4 Graph relations and functions with and without graphing technology.
A2.4.1 Write the equations of conic sections (circle, ellipse, parabola, and hyperbola).
A2.4.2 Graph conic sections.
Resources: Graphing calculators for class.

Lesson 2: Geometer’s Sketchpad
Target Audience: 9th and 10th grade Geometry students
Big Idea: Use Geometer’s Sketchpad to determine properties of quadrilaterals.
Goal: The students will visualize quadrilaterals in an engaging activity, and make conjectures about specific kinds of quadrilaterals and their properties.
Standards:
G.2.2 Find measures of interior and exterior angles of polygons, justifying the method used.
G.3.1 Describe, classify, and understand relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite.
G.3.2 Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas.
G.3.3 Find and use measures of sides, perimeters, and areas of quadrilaterals. Relate these measures to each other using formulas.
G.3.4 Use coordinate geometry to prove properties of quadrilaterals, such as regularity, congruence, and similarity.
G.8.3 Make conjectures about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture.
Resources: Geometer’s Sketchpad

Lesson 3: Exploring Linear Data
Target Audience: 8th and 9th grade Algebra I students
Big Idea: Use either a graphing calculator or the Illuminations website to construct a scatter plot and estimate/find the lines of best fit.
Goal: Students will be able to create meaningful data and use the data to describe a possible relationship between points in a scatter plot.
Standards:
A1.3.1 Sketch a reasonable graph for a given relationship.
A1.3.2 Interpret a graph representing a given situation.
Resources: Graphing calculators or Internet access to the Illuminations website