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 Last Updated: 27 September 2018 27 September 2018
Common Core State Standards for Mathematics Sheltered Geometry (V01) Semester One 


Domain: Congruence (GCO)  
Learning Standard: Experiment with transformations in the plane.  Test Questions 
GCO0912.01 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.  MC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
Learning Standard: Understand congruence in terms of rigid motions.  Test Questions 
GCO0912.08 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.  MC: 24, 27 
Learning Standard: Prove geometric theorems.  Test Questions 
GCO0912.09 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.  MC: 12, 13, 14, 15 FR: 2, 3 
GCO0912.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.  MC: 16, 17, 18, 19, 28, 29, 30, 31, 32, 33 FR: 4 
Domain: Expressing Geometric Properties With Equations (GGPE)  
Learning Standard: Use coordinates to prove simple geometric theorems algebraically.  Test Questions 
GGPE0912.05 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).  MC: 20, 34 
GGPE0912.06 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.  MC: 11 
GGPE0912.07 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.  FR: 1 
Domain: Similarity, Right Triangles, & Trigonometry (GSRT)  
Learning Standard: Understand similarity in terms of similarity transformations.  Test Questions 
GSRT0912.02 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.  MC: 35 
GSRT0912.03 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.  MC: 38 
Learning Standards: Prove theorems involving similarity.  Test Questions 
GSRT0912.04 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.  MC: 36 
GSRT0912.05 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.  MC: 21, 22, 23, 25, 26, 37, 39, 40, 41 
Domain: Conditional Probability and The Rules of Probability (SCP)  
Learning Standard: Understand independence and conditional probability and use them to interpret data.  Test Questions 
SCP0912.04 Construct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.  MC: 43, 44, 45 
Learning Standard: Use the rules of probability to compute probabilities of compound events in a uniform probability model.  Test Questions 
SCP0912.08 Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(BA) = P(B)P(AB), and interpret the answer in terms of the model.  MC: 42 
Multiple Choice: 45 points
Free Response: 10 points
Overall: 55 points