CURRICULUM MAP. Process/Skills Activities. 1. Know basic Geometric terms. 2. Use Distance Formula. 3. Use Angle Addition Postulate

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1 Course: Geometry 1-2 August G.CO.1 G.CO.12 G.CO.2 G.CO.9 G.GPE.7 G.MG.1 G.MG.2 1. Basic Terms and Construction 2. Distance Formula 3. Angles 4. Angle Bisectors 5. Midpoint Formula 6. Perimeter and Area Identify and apply basic terms and constructions to solve problems. Evaluate problems using distance and midpoint formulas. Explain what an angle bisector is and how to use it to solve problems. Determine if an angle is acute, obtuse, right, or straight. Distinguish between area and perimeter of different shapes and understand the meaning behind the formulas. 1. Know basic Geometric terms. 2. Use Distance Formula. 3. Use Angle Addition Postulate 4. Use midpoint formula to solve problems. 5. Identify perimeter and area formulas 6. Solving perimeter and area problems Unit 1 Exam

2 September G.CO.1 G.CO.4 C.CO.12 G.GPE.5 G.CO.5 G.CO.6 G.CO.7 G.CO.8 G.CO Parallel and Perpendicular Lines 2. Slope and Parallel Lines 3. Slope and Perpendicular Lines 4. Perpendicular Lines and Distance 5. Angles in 6. The Isosceles Triangle Theorem 7. Congruence 8. Congruence and 9. Developing Congruence Criteria Determine the slope of parallel and perpendicular lines. Distinguish between consecutive interior, corresponding, alternate interior, and alternate exterior angles. Use and identify relationships between consecutive interior, corresponding, alternate interior, and alternate exterior angles. Write equations of parallel and perpendicular lines. Compose the Triangle Sum Theorem. Categorize different types of triangles based on their sides or angles. Explain what the word congruence means. 1. Know the difference between parallel and perpendicular lines. 2. Write equations of parallel and perpendicular lines using what was learned in Algebra about slope and lines. 3. Identify the differences between consecutive interior, corresponding, alternate interior, and alternate exterior angles. 4. Solve problems involving consecutive interior, corresponding, alternate interior, and alternate exterior angles. 5. Find the distance between perpendicular lines. Unit 2 Exam Unit 3 Exam to know the different congruency theorems. Differentiate between SSS, SAS, ASA, AAS, and HL congruence theorems.

3 October Review above for Midterm G.CO.2 G.CO.9 G.GPE.7 G.CO Review all content above for midterm 2. Perpendicular Bisectors 3. Midsegments in 4. Triangle Inequalities 5. Sides and Angles of Parallelograms 6. Diagonals of Parallelograms 7. Special Parallelograms 8. Criteria for Parallelograms Review all objectives above for midterm. Identify perpendicular and angle bisectors. Compare and contrast perpendicular and angle bisectors. Formulate a plan to use the midsegment theorem in problems. Justify how midsegment of a triangle is related to midpoint formula. Compute possible sides of triangles using triangle inequalities. Categorize different quadrilaterals. 1. Review all process/skills above for midterm. 2. Solve problems involving bisectors. 3. Find missing sides of triangles. 4. Predict the missing sides of triangles. 5. Identify different kinds of quadrilaterals and their properties. Review above chapters with a midterm. Midterm based on final exam packet. Unit 4 Exam Midterm packet based on final exam packet. to know the different quadrilaterals. Identify properties of parallelograms and use them to solve problems.

4 November G.CO.2 G.CO.4 G.CO.5 G.CO.6 1. Transformations and Rigid Motions 2. Reflections 3. Translations 4. Rotations Predict what a translation, reflection, or rotation is. Distinguish between reflections, translations, and rotations. Combine different transformations to form a composite transformation. 1. Know the three different transformations. 2. Identify the differences in the three transformations. 3. Use rules and/or pictures to help find the image given the pre-image. Unit 5 Exam connect pre-image to images. Devise a plan to know the three transformations and how they relate to one another. 4. Use rules and/or pictures to help find the pre-image given the image.

5 December G.CO.9 G.CO.4 G.GPE.5 G.CO.10 Review standards above for the final. 1. Proofs about Line Segments and Angles 2. Proofs about Parallel and Perpendicular Bisector. 3. Coordinate Proof Using Slope and Distance. 4. Using Congruence Criteria in Proofs 5. Review All Above for the Final Outline a proof. Write a two column proof. Generate the statements and reasons to proof a problem using a twocolumn proof. Use all that was learned to develop a proof. Review all objectives for the final exam. 1. Understand a twocolumn proof. 2. Write a two column proof. 3. Fill in blanks on a twocolumn proof. 4. Review all process/skills for final exam Matching games Puzzle proofs Review above chapters with a final exam from the district Mandated final exam written by the district Puzzle proofs for students to be able to fill in their answers. designed using proof formats from the final exam.

6 January G.SRT.1 G.CO.2 G.SRT.2 G.C.1 G.SRT.3 G.SRT.5 G.MG.3 G.SRT.4 1. Ratios and Proportions 2. Properties of Dilations 3. Drawing Dilations 4. Similarity and 5. Solving Problems Using Similarity 6. The Triangle Proportional Theorem Find and simplify the ratio of two numbers. Use proportions to solve real life problems Use properties of proportions. Distinguish between similar and congruent. Decide what a scale factor is and when to use it. Apply similarity postulates to triangles. Compare different types of dilations. 1. Understand a ratio versus a proportion. 2. Set up and solve ratio problems. 3. Use skills learned in Algebra Distinguish between similar and congruent. Unit 6 Exam

7 February G.SRT.4 G.SRT.5 G.SRT.6 G.SRT.7 G.SRT.8 G.RST.8 G.CO.1 G.C.5 1. Similar Right 2. Proving the Pythagorean Theorem 3. Special Right 4. The Sine, Cosine, and Tangent Ratios 5. Inverse Trig Functions 6. Solving Right 7. Finding Angle Measures 8. Area of Regular Polygons 9. Arc Length Define trigonometric ratios. Solve problems involving right triangles. Explain and use the relationship between the sine and cosine. Derive the polygon interior angles theorem. Give an informal argument for the area of regular polygon formula. Know precise definitions of distance around a circular arc. Derive the fact that arc length is just a portion of the circumference of a circle. 1. Understand and use trigonometric ratios. 2. Solve a right triangle given three pieces of information. 3. Find the angle measures of any polygon. 4. Find the area of any regular polygon. 5. Use circumference to find arc length. Unit 7 Exam

8 March G.C.5 G.GMD.1 7.G.6 G.RST.8 G.GMD.4 8.G.9 G.GMD.1 G.GMD.3 G.MG.2 1. Area of Circles and Sectors 2. Ratios of Areas 3. Geometric Probability 4. Surface Area of Prisms and Cylinders 5. Surface Area of Pyramids and Cones 6. Volume of Prisms and Cylinders 7. Volume of Pyramids and Cones 8. Surface Area and Volume of Spheres Derive the fact that area of a sector is just a portion of the area of a circle. Give an informal argument for the formulas for the area of a circle. Apply the general multiplication rule of probability in terms of a model. Compare and contrast surface area and volume of three dimensional figures. Identify the shapes of two dimensional crosssections of three dimensional objects. 1. Use area of a circle to find area of a sector. 2. Compare area of shapes using similarity and ratios. 3. Find the probability of something happening using a model. 4. Understand how to use surface area and volume formulas. 5. Know where the surface area and volume formulas are derived from. Unit 8 Exam Use geometric concepts of density based on area and volume in modeling situations.

9 April G.GMD.1 G.GMD.3 G.MG.2 Review standards from January through now G.C.2 1. Review 3-D figures 2. Review content from January through now for the midterm 3. Tangent Lines 4. Arcs and Chords Review all objectives from January through now for the midterm. Identify and describe the relationships among inscribed angles, radii, and chords. Construct a tangent line from a point outside a given circle to the circle. 1. Review all process/skills from January through now for the midterm. 2. Understand the relationship between parts of a circle. 3. Solve problems involving circles. Review chapters from January through now for a midterm. Unit 9 Exam Midterm

10 May G.C.2 S.CP.1 S.CP.7 S.CP.3 S.CP.4 S.CP.5 S.CP.6 S.ID.5 S.CP.2 1. Inscribed Angles 2. Other Angle Relationships in Circles 3. Segment Lengths in Circles 4. Writing Equations of Circles 5. Probability and Set Theory 6. Mutually Exclusive and Overlapping Events 7. Conditional Probability 8. Two Way Tables Identify and describe the relationship between central, inscribed, and circumscribed angles. Explain why inscribed angles on a diameter are a right angle. Identify the relationships between segment lengths of a circle. Describe events as subsets of a sample space. Apply the addition rule of probability. Understand the conditional probability of A given B. 1. Know the relationship between central, inscribed, and circumscribed angles. 2. Understand angle relationships in circles. 3. Write the equation of a circle. 4. Find the probability of events in many different situations. Unit 10 Exam Unit 11 Exam 9. Independent Events 10. Dependent Events Interpret independence of A and B. Construct and interpret two-way frequency tables of data. Recognize and explain the concepts of conditional probability and independence in everyday language.

11 June Review all standards January to now for final exam 1. Review all content January to now for the final exam Review all objectives and essential questions from January to now for the final exam Review all process/skills from January to now for final exam Review packet for final from District Mandated final exam written by the district District practice problems.