line or two points on line slope as ‐ rate of change; b) write equation of line given graph of line/two points on line or slope‐point on line 8.8 a) apply transformations to plane figures; b) ID applications of transformations 7.8 represent transformations (reflections, dilations, rotations, and translations) of polygons in the coordinate by graphing Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Trdtl Standard: G.1 Key Vocabulary Essential Understanding algebraic method 7 days 14 days assumption The student will construct and judge Inductive reasoning, deductive reasoning, and biconditional statement the validity of a logical argument are critical in establishing general claims. conclusion consisting of a set of premises and a conditional statement conclusion. This will include Deductive reasoning is the method that uses logic conjecture a) identifying the converse, inverse, to draw conclusions based on definitions, contrapositive and contrapositive of a conditional postulates, and theorems. converse statement; b) translating a verbal argument coordinate method Inductive reasoning is the method of drawing into symbolic form; counterexample conclusions from a limited set of observations. c) using Venn diagrams to represent deductive reasoning set relationships; and Proof is a justification that is logically valid and hypothesis (premise) d) using deductive reasoning. based on initial assumptions, definitions, inductive reasoning postulates, and theorems. inverse Law of Detachment Logical arguments consist of a set of premises or Law of Syllogism hypotheses and a conclusion. Law of the
line or two points on line ‐ slope as rate of change; b) write equation of line given graph of line/two points on line or slope‐point on line 8.8 a) apply transformations to plane figures; b) ID applications of transformations 7.8 represent transformations (reflections, dilations, rotations, and translations) of polygons in the coordinate by graphing Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources 7 days Trdtl 14 days Standard: G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include a) identifying the converse, inverse, and contrapositive of a conditional statement; b) translating a verbal argument into symbolic form; c) using Venn diagrams to represent set relationships; and d) using deductive reasoning. Essential Understanding Inductive reasoning, deductive reasoning, and are critical in establishing general claims. Deductive reasoning is the method that uses logic to draw conclusions based on definitions, postulates, and theorems. Inductive reasoning is the method of drawing conclusions from a limited set of observations. Proof is a justification that is logically valid and based on initial assumptions, definitions, postulates, and theorems. Logical arguments consist of a set of premises or hypotheses and a conclusion. Key Vocabulary algebraic method assumption biconditional statement conclusion conditional statement conjecture contrapositive converse coordinate method counterexample deductive reasoning hypothesis (premise) inductive reasoning inverse Law of Detachment Law of Syllogism Law of the
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