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Geometry is typically the second math course taken by high school students. Major topics discussed include introductory logic; coordinate geometry; congruence, similarity and proof; right triangle trigonometry; transformations; locus; constructions; circles; and three-dimensional objects. Students will garner reasoning skills and learn how to form logical and coherent arguments. This course is aligned with the Common Core Learning Standards and integrates the eight Standards for Mathematical Practice throughout the curriculum. Common Core Learning Standards denoted by “★”indicate opportunities to emphasize the concepts of modeling with mathematics. In order to earn an Advanced Regents Diploma, students must pass the Integrated Algebra, Geometry, and Algebra 2/Trigonometry Regents Exams, among others, prior to graduation
The Common Core Standards for Mathematical Practice are: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. ★ 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
UNIT 1 – LOGIC (3 days)
TOPICS:
Truth Values, Conjunction, Disjunction, Conditional, Biconditional); Inverse, Converse, Contrapositive; Logical Equivalence
RESOURCES:
jmap.org; regentsprep.org;
Prentice Hall: NY Geometry Chapter 2
ESSENTIAL QUESTIONS
How do we make convincing arguments?
NEW YORK STATE STANDARDS
G.G.24 Determine the negation of a statement and establish its truth value
G.G.25 Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true
G.G.26 Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences
COMMON CORE
The Common Core Standards for Mathematical Practice are: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. ★ 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
UNIT 1 – LOGIC (3 days)
TOPICS:
Truth Values, Conjunction, Disjunction, Conditional, Biconditional); Inverse, Converse, Contrapositive; Logical Equivalence
RESOURCES:
jmap.org; regentsprep.org;
Prentice Hall: NY Geometry Chapter 2
ESSENTIAL QUESTIONS
How do we make convincing arguments?
NEW YORK STATE STANDARDS
G.G.24 Determine the negation of a statement and establish its truth value
G.G.25 Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true
G.G.26 Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences
COMMON CORE