Geometry+Big+Ideas

|| Students will be able to use inductive and deductive reasoning, make arguments based on logic, know and use the basic terms of logic. They will be able to construct proofs using “if..then”, contradiction, lines and angles, triangles and quadrilaterals. Students will be able to justify arguments about polygons and circles and use formulas for area and volume. They will be able to prove that triangles are congruent, use theorems about congruent triangles and use theorems about similar triangles. || McDougal-Littell Geometry textbook 2004 edition, ENI supplementary materials. || Year Long || Students will be able to define and use Pythagorean theorem, properties of medians, altitudes and perpendicular bisectors to the sides of a triangle and the angle bisectors of a triangle. They will be able to define and use the properties of quadrilaterals, polygons, circles, and three-dimensional figures. Students will know formulas for area and volume. || McDougal-Littell Geometry textbook 2004 edition, ENI supplementary materials. || 60% of the school year || ||  ||  Students will be able to explain importance of irrational numbers in basic right triangle trigonometry. They will be able to define and use sine, cosine and tangents. Students will be able to determine exact values of sine, cosine and tangents for various degrees and their integer multiples and apply them accordingly. || McDougal-Littell Geometry textbook 2004 edition, ENI supplementary materials. || 15% of the school year || || Students will be able to construct lines, angles, midpoints of a line segment and bisectors of an angle. They will be able to construct proofs involving angles. Students will be able to construct multi-step problems involving angle measure, side length, perimeter and triangles. Students will be able to sketch three-dimensional figures and cross sections of three dimensional figures. They will be able to use distance-preserving transformations and shape-preserving transformations of isometries. || McDougal-Littell Geometry textbook 2004 edition, ENI supplementary materials. || 60% of the school year ||
 * __ High School Geometry Big Ideas __**
 * Big Idea ** ||
 * GLCE ** ||
 * Brief Description ** ||
 * Materials ** ||
 * Time Frame ** ||
 * Logic and Reasoning ** ||
 * L3.1.1-L3.1.3 **
 * L3.2.1-L3.2.4 **
 * L3.3.1-L3.3.3 **
 * G1.1.1-G1.1.6 **
 * G1.2.1-G1.2.5 **
 * G1.4.1-G1.4.2, G1.4.3 **
 * G1.6.2-G1.6.3 **
 * G2.1.1 **
 * G2.3.1-G2.3.4 **
 * G2.1.1 **
 * G2.3.1-G2.3.4 **
 * Properties and Definitions of shapes ** ||
 * G1.2.3-G1.2.5 **
 * G1.4.1,G1.4.3-G1.4.4 **
 * G1.5.1-G1.5.2 **
 * G1.6.1-G1.6.4 **
 * G1.8.1-G1.8.2 **
 * G2.1.1-G2.1.3, G2.1.5 ** ||
 * G2.1.1-G2.1.3, G2.1.5 ** ||
 * Right Triangle Trigonometry/Laws of Sines and Cosines **
 * Right Triangle Trigonometry/Laws of Sines and Cosines **
 * L1.1.6 **
 * G1.3.1-G1.3.3 **
 * Construction/Isometries **
 * Construction/Isometries **
 * G1.1.1-G1.1.5 **
 * G1.2.1-G1.2.2, G1.2.G1.2.5 **
 * G2.2.1-G2.2.2 **
 * G3.1.1-G3.1.3 **
 * G3.2.1-G3.2.2 ** ||