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?