1. MIDDLE SCHOOL CONTENT ACADEMY Geometry SOL 6.11, 6.12, 6.13, 7.7, 7.8, 8.8, 8.9, 8.10, 8.11 February 12, 2015

2. FORMULAS What formulas do students need to know related to the Geometry strand? What formulas are provided on the formula sheet related to the Geometry strand?

3. Focus: Properties and Relationships Focus: Relationships between Figures Focus: Problem Solving with 2- and 3-Dimensional Figures VERTICAL ARTICULATION OF CONTENT

4. 2014 SPBQ DATA – 6.11, 7.8, 8.8 GradeDescription of Question% Correct in Division 6Assign points to the correct quadrants or axes without graphing.59 6Use coordinates to graph points on the coordinate plane.76 6Assign points to the correct quadrants or axes.88 7Apply a transformation to the graph or coordinates of a figure and determine the graph or coordinates for the image. 50 7Identify and recognize congruent images resulting from transformations. 63 7Identify the resulting image of a transformation.64 8Apply transformations to plane figures and identify applications of transformations. 77 8Identify the resulting image of a transformation62 8Apply transformations to plane figures.67

5. 2012 - SUGGESTED PRACTICE FOR SOL 6.11 Students need additional practice recognizing the location of points that lie on the x- or y-axis. 1. Identify the location of the point (10,0). a)In Quadrant I b)In Quadrant III c)On the x-axis d)On the y-axis 2. Select the two points that are located on the y-axis. (0,0) (0,1) (1,1) (-1,-1) (1,0) Common Errors ? Misconceptions?

6. 2012 - SUGGESTED PRACTICE FOR SOL 7.8 Students need additional practice applying transformations to a given figure on a coordinate plane. a)Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. b)Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees counterclockwise about the origin. c)Identify the coordinates of the image of triangle ABC after a reflection over the y-axis. d)Identify the coordinates of the image of triangle ABC after a translation 5 units to the right. A (-7,3) B (-7,-2) C (-1,-2) A C B Common Errors ? Misconceptions?

7. 2013 - SUGGESTED PRACTICE FOR SOL 7.8 1.Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. 2.Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees clockwise about the origin. 3.Identify the coordinates of the image of triangle ABC after a reflection over the y -axis. A (-2,4) B (-2,-3) C (-4,-3) y x A B C Students need additional practice applying transformations to a given figure on a coordinate plane. Common Errors ? Misconceptions?

8. 2013 - SUGGESTED PRACTICE FOR SOL 8.8A Students need additional practice determining the coordinates of a figure after it is rotated about the origin in the counterclockwise direction. This polygon is rotated 270° counterclockwise about the origin. Plot the image of point D (-4, 5) and name the coordinates. D Common Errors ? Misconceptions?

9. Focus: Properties and Relationships Focus: Relationships between Figures Focus: Problem Solving with 2- and 3-Dimensional Figures VERTICAL ARTICULATION OF CONTENT

10. 2014 SPBQ DATA – 6.13, 7.7 GradeDescription of Question% Correct in Division 6Use attributes of quadrilaterals to solve problems.74 7Classify quadrilaterals based on properties.82 7Use properties to compare and contrast quadrilaterals.46 7Classify quadrilaterals based on properties.72

11. 2012 - SUGGESTED PRACTICE FOR SOL 6.13 Students need additional practice describing and identifying properties of quadrilaterals. a)Name each figure using the given attributes with its most precise name. b)What term most accurately classifies all of these figures? c)What term most accurately classifies figures 1, 3, 4, and 6? d)What term most accurately classifies figures 1 and 3? 1 23 456 Each angle is 90 ° Common Errors ? Misconceptions?

12. 2012 - SUGGESTED PRACTICE FOR SOL 7.7 The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid. a)Identify the classifications to which this figure belongs. Parallelogram Trapezoid Quadrilateral Rhombus Rectangle b)Select each figure that appears to be a rectangle. All angles in this figure are 90 degrees. All angles in this figure are 90 degrees. Common Errors ? Misconceptions?

13. 2013 - SUGGESTED PRACTICE FOR SOL 7.7 Students need additional practice classifying an image of a rhombus. Which classifications describe this figure? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle Common Errors ? Misconceptions?

14. 2013 - SUGGESTED PRACTICE FOR SOL 7.7 Students need additional practice differentiating between an image of a rhombus and a parallelogram. Which classifications appear to describe both of these figures? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle Common Errors ? Misconceptions?

15. 2013 - SUGGESTED PRACTICE FOR SOL 7.7 Students need additional practice identifying the properties of a rhombus. Select each property that is true for any rhombus. There is exactly one pair of parallel sides. There are exactly two pairs of parallel sides. There are exactly four congruent sides. There are exactly four right angles. There are exactly two pairs of congruent opposite angles. There are exactly four congruent angles. Common Errors ? Misconceptions?

16. Focus: Properties and Relationships Focus: Relationships between Figures Focus: Problem Solving with 2- and 3-Dimensional Figures VERTICAL ARTICULATION OF CONTENT

17. 2014 SPBQ DATA – 6.12, 8.10 GradeDescription of Question% Correct in Division 6Use attributes to identify congruent polygons.67 8Verify and apply the Pythagorean Theorem to find any missing side of a right triangle. 46 8Verify and apply the Pythagorean Theorem to find any missing side of a right triangle. 36 8Verify and apply the Pythagorean Theorem to find any missing side of a right triangle. 59

18. Focus: Properties and Relationships Focus: Relationships between Figures Focus: Problem Solving with 2- and 3-Dimensional Figures VERTICAL ARTICULATION OF CONTENT

19. 2014 SPBQ DATA – 8.11 GradeDescription of Question% Correct in Division 8Solve practical area and perimeter problems involving composite plane figures. 44 8Solve practical area and perimeter problems involving composite plane figures. 23

20. 2012 - SUGGESTED PRACTICE FOR SOL 8.11 Students need additional practice using addition and subtraction to calculate area and perimeter in problems involving composite plane figures. a)Find the area and perimeter of this composite figure. b)A semicircle with a diameter of 2 centimeters is added to the side of the figure labeled 2 cm. Find the approximate area and perimeter of the new figure after this addition. 4 cm 6 cm 10 cm 9 cm 2 cm Common Errors ? Misconceptions?

21. 2012 - SUGGESTED PRACTICE FOR SOL 8.11 Students need additional practice solving practical area problems involving composite plane figures. An artist created a geometric design on a wall. She began by painting a blue circle and then painting a yellow isosceles right triangle on top of the blue circle. This figure shows the artist’s beginning steps. Point A is the center of the circle. Points B and C lie on the circle. The diameter of the circle is 12 feet. What is the area of the interior of the circle not covered by triangle ABC, rounded to the nearest whole number? Common Errors ? Misconceptions?

22. 2012 - SUGGESTED PRACTICE FOR SOL 8.11 Students need additional practice finding the area and perimeter of composite figures. Bobby is painting a figure on a banner for a homecoming parade. The figure he is painting consists of an isosceles triangle, a rectangle, and a semicircle, as shown. a)What is the total area of the figure, rounded to the nearest tenth? b)What is the total perimeter of the figure, rounded to the nearest tenth? 3ft 10 ft 8 ft 5ft Common Errors ? Misconceptions?