Math: Honors Geometry UNIT/Weeks (not Timeline/Topics Essential Questions consecutive) Reasoning and Proof How can you make a Patterns and Inductive Reasoning conjecture and prove that it is Conditional Statements 2 true? Biconditionals Deductive Reasoning Reasoning in Algebra and Geometry Proving Angles Congruent Congruent Triangles How do you identify Congruent Figures corresponding parts of Triangle Congruence by SSS and SAS congruent triangles? Triangle Congruence by ASA and AAS How do you show that two 3 Using Corresponding Parts of Congruent triangles are congruent? Triangles How can you tell whether a Isosceles and Equilateral Triangles triangle is isosceles or Congruence in Right Triangles equilateral? Congruence in Overlapping Triangles Relationships Within Triangles Mid segments of Triangles How do you use coordinate Perpendicular and Angle Bisectors geometry to find relationships Bisectors in Triangles within triangles? 3 Medians and Altitudes How do you solve problems Indirect Proof that involve measurements of Inequalities in One Triangle triangles? Inequalities in Two Triangles How do you write indirect proofs? Polygons and Quadrilaterals How can you find the sum of The Polygon Angle-Sum Theorems the measures of polygon Properties of Parallelograms angles? Proving that a Quadrilateral is a Parallelogram How can you classify 3.2 Properties of Rhombuses, Rectangles and quadrilaterals? Squares How can you use coordinate Conditions for Rhombuses, Rectangles and geometry to prove general Squares relationships? Trapezoids and Kites Polygons in the Coordinate Plane Applying Coordinate Geometry Proofs Using Coordinate Geometry How do you use proportions Similarity to find side lengths in similar polygons? Ratios and Proportions How do you show two 1.6 Similar Polygon triangles are similar? Proving Triangles Similar How do you identify Similarity in Right Triangles corresponding parts of similar Proportions in Triangles triangles? How do you find a side length Right Triangles and Trigonometry or angle measure in a right triangle? The Pythagorean Theorem and its Converse 4 How do trigonometric ratios Special Right triangles relate to similar right Trigonometry triangles? Angles of Elevation and Depression Area How do you find the area of a 3 Areas of Parallelograms and Triangles polygon or find the Areas of Trapezoids, Rhombuses and Kites circumference and area of a Areas of Regular Polygons circle? Circles Areas of Circles Surface Area and Volume How do you find the surface area and volume of a solid? Surface Areas of Prisms and Cylinders How do the surface areas and 3 Surface Areas of Pyramids and Cones volumes of similar solids Volumes of Prisms and Cylinders compare? Volumes of Pyramids and Cones Surface Areas and Volumes of Spheres Areas and Volumes of Similar Solids Circles How can you prove 2.4 relationships between angles and arcs in a circle? Tangent Lines Chords and Arcs When lines intersect a circle, Inscribed Angles or within a circle, how do you Angle Measures and Segment Lengths find the measures of resulting Circles in the Coordinate Plane angles, arcs, and segments? Locus: A Set of Points How do you find the equation of a circle in the coordinate plane? How can you change a figure's position without Transformations changing its size and shape? How can you change a Translations figure's size without 3 Reflections changing its shape? Rotations How can you represent a Compositions of Isometries transformation in the Congruence Transformations coordinate plane? Dilations How do you recognize Similarity Transformations congruence and similarity in figures? Algebra Review Patterns and Expressions Properties of Real Numbers Algebraic Expressions How do variables help you Solving Equations model real-life situations? Solving Inequalities How can you use the 4 Absolute Value Equations and Inequalities properties of real numbers Relations and Functions to simplify algebraic Direct Variation expressions? Linear Functions and Slope-Intercept Form How do you solve an More About Linear Equations equation or inequality? Using Linear Models Families of Functions Absolute Value Functions and Graphs Two-Variable Inequalities What are the advantages of Quadratic Functions and Equations a quadratic function in vertex form versus standard form? 3 Quadratic Functions and Transformation What are the similarities Standard Form of a Quadratic Function and differences of any Modeling with Quadratic Functions quadratic function as Factoring Quadratic Expressions compared to the parent function y=x²? How are the real solutions of a quadratic equation related to its graph? .