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Geometry Learning Targets Chapter 1: Essentials of Geometry Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas 1.4 Measure and Classify Angles 1.5 Describe Angle Pair Relationships Learning Targets I Can… 1. Identify, correctly label, and sketch the following geometric figures: point, line, plane, collinear points, coplanar points, segment, ray, opposite rays. 2. Use segment addition to calculate segment lengths. 3. Justify segment congruence on the coordinate plane. 4. Use the definitions of midpoint and segment bisector to calculate segment lengths. 5. Calculate the coordinates of the midpoint of a segment using the midpoint formula. 6. Calculate the length of a segment using the distance formula. 7. Identify, correctly label, and sketch the following: acute, right, obtuse, and straight angles, congruent angles, and angle bisectors. 8. Use angle addition to calculate angle measures. 9. Use the angle bisector definition to calculate angle measures. 10. Use the definitions of complementary, supplementary, and adjacent angles to calculate angle measures. 11. Identify and solve for angle measures using linear pairs. 12. Identify and solve for angle measures using vertical angles. Chapter 2A: Reasoning 1. Describe and find terms in patterns 2. Make and test conjectures 3. Find a counterexample 4. Rewrite a statement in if-then form 5. Write biconditional and related conditional statements (converse, inverse, contrapositive) 6. Use the Laws of Detachment and Syllogism 7. Use inductive and deductive reasoning 2.1 Use Inductive Reasoning 2.2 Analyze Conditional Statements 2.3 Apply Deductive Reasoning 2.4 Use Postulates and Diagrams 2.5 Reason Using Properties from Algebra Chapter 2B: Proof 1. Use the distributive property and properties of equality 2. Write algebraic proofs 2.6 Prove Statements about Segments and Angles 3. Identify and use properties (reflexive, symmetric, transitive) 4. Write two-column proofs for segments 2.7 Prove Angle Pair Relationships 5. Write two-column proofs for angles 6. Use vertical angles congruence to find angle measures in diagrams 8. Identify postulates from a diagram 9. Sketch and interpret diagrams Geometry Learning Targets Chapter 3A: Parallel Lines 1. Identify angle pairs formed by three intersecting lines 3.1 Identify Pairs of Lines and Angles 3.2 Use Parallel Lines and Transversals 2. Use angles formed by parallel lines and transversals 3.3 Prove Lines are Parallel 3. Use angle relationships to prove that lines are parallel 3.6 Prove Theorems about Perpendicular Lines 4. Draw conclusions about parallel lines, transversals, and the angles they create 3.4 (day1) Chapter 3B: Write and Graph Linear Equations Find and Use Slopes of Lines 1. Find slope of a line given two points, graph 2. Classify lines given the slope 3.4 (day2) Find and Use Slopes of Lines 3. Find slopes of parallel and perpendicular lines 3.5 (day1) Equations of Lines 4. Write the equation of a line given point and slope, two points, graph 3.5 (day2) Equations of Lines 5. Write the equation of parallel and perpendicular lines 3.5 (day3) Equations of Lines 6. Graph equations of lines 4.1 Chapter 4: Congruent Triangles Apply Triangle Sum Properties 1. Classify triangles 2. Find measures of angles in a triangle 4.7 Use Isosceles and Equilateral Triangles 3. Use theorems about isosceles and equilateral triangles 4.2 Apply Congruence and Triangles 4. Identify congruent figures 5. Solve for variables in congruent figures Prove Triangles Congruent: SSS, SAS, HL, ASA, AAS 6. Prove triangles are congruent Use Congruent Triangles: CPCTC 7. Use congruent triangles to prove corresponding parts congruent. 4.3-4.5 4.6 Geometry Learning Targets 6.1 Ratios, Proportions, and the Geometric Mean Chapter 6: Similarity 1. Write, simplify and use ratios 2. Set up, solve, and use proportions 6.2 Use Proportions to Solve Geometry Problems 3. Use proportions to find missing segments in triangles and quadrilaterals 6.3 Use Similar Polygons 4. Use proportions to find missing parts of similar polygons Prove Triangles Similar 5. Prove that triangles are similar 6.4-6.5 7.1 7.2 7.4 Chapter 7: Right Triangles and Trigonometry Apply the Pythagorean 1. Use the Pythagorean Theorem to find missing side lengths in Theorem right triangles 2. Apply the Pythagorean Theorem to area of a triangle and real world problems Use the Converse of the 3. Classify triangles as acute, obtuse, or right when three sides Pythagorean Theorem are given Special Right Triangles 4. Find missing sides and angles in 45-45-90 triangles 5. Find missing sides and angles in 30-60-90 triangles Sine, Cosine, and Tangent Ratios for Right Triangles 6. Find trigonometric ratios for angles in right triangles 7. Use trigonometric ratios to find missing sides in right triangles 7.7 Solve Right Triangles 8. Use inverse trigonometric ratios to find missing angles in right triangles 9. Use trigonometric ratios to solve right triangles (find all sides and angles) 1.6 Classify Polygons 8.1 Find Angle Measures in Polygons 3. Find interior angle measures in polygons 4. Find interior and exterior angle measures in polygons 8.2 Use Properties of Parallelograms 5. Find side and angle measures in parallelograms 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares 6. Show that a quadrilateral is a parallelogram 7. Use algebra to find missing sides and angles in a parallelogram 8. Identify special parallelograms: rhombuses, rectangles, and squares 9. Use algebra to find missing sides and angles in special parallelograms 7.5-7.6 Chapter 8: Quadrilaterals 1. Identify and classify polygons 2. Find side lengths of polygons Geometry Learning Targets 8.5 Use Properties of Trapezoids and Kites 10. Identify special quadrilaterals: trapezoids and kites 11. Use algebra to find missing sides and angles in special quadrilaterals 12. Use the properties of quadrilaterals to identify and classify quadrilaterals using characteristics of the 7 types of quadrilaterals 8.6 Identify Special Quadrilaterals 11.1 Chapter 11: Measuring Length and Area Areas of Triangles and 1. Find areas of parallelograms and triangles. Parallelograms 11.2 Areas of Trapezoids, Rhombuses, and Kites 2. Find areas of trapezoids, rhombuses, and kites. 11.3 Perimeter and Area of Similar Figures 3. Use ratios to find area and perimeter of similar figures. 11.4 Circumference and Arc length 4. Find circumference and arc length for a circle. 11.5 Areas of Circles and Sectors 5. Find area and sector area of circles. 11.6 Areas of Regular Polygons 6. Find area and perimeter of regular polygons. 11.7 Use Geometric Probability 7. Find geometric probabilities. 12.1 Explore Solids 12.2 Surface Area of Prisms and Cylinders 2. Solve problems using surface area of prisms and cylinders. 12.3 Surface Area of Pyramids and Cones 3. Solve problems using surface area of pyramids and cones. 12.4 Volume of Prisms and Cylinders 4. Solve problems using volume of prisms and cylinders. 12.5 Volume of Pyramids and Cones 5. Solve problems using volume of pyramids and cones. 12.6 Surface Area and Volume of Spheres 6. Solve problems using surface area and volume of spheres. 12.7 Explore Similar Solids 7. Apply similarity properties to solids. Chapter 12: Surface Area and Volume of Solids 1. Identify, classify, and describe solids. Geometry Learning Targets 9.1 Chapter 9: Properties of Transformations Translate Figures and Use 1. Produce an image of the translation (slide) a preimage on a Vectors coordinate plane. 9.3 Perform Reflections 2. Produce an image after the reflection of a preimage on a coordinate plane. 9.4 Perform Rotations 4. Produce an image after the rotation of a preimage on a coordinate plane. 9.5 Apply Compositions of Transformations 5. Produce an image after more than one transformation of a preimage on a coordinate plane. 9.6 Identify Symmetry 9.7 Identify and Perform Dilations 6. Determine if a figure has line symmetry and find its line of symmetry. 7. Determine if a figure has rotational symmetry and find its degree of rotation. 8. Produce an image after the dilation of a preimage on a coordinate plane.