Two- and Three-Dimensional Geometric Objects
1. Understand characteristics of common two- and three-dimensional figures, such as triangles (e.g., isosceles and right triangles), quadrilaterals, and spheres.
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Lesson 1. Triangles Part 1 Part 2
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Lesson 2. Quadrilaterals Part 1 Part 2 Part 3
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Lesson 3. Polygons Part 1 Part 2
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Lesson 4. 3 D Figures Part 1 Part 2 Part 3 Part 4 Part 5
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2. Draw conclusions based on the congruence, similarity, or lack thereof, of two figures.
Lesson 5. Congruent Figures Part 1 Part 2 Part 3 Part 4
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Lesson 6. Similar Figures Part 1 Part 2 Part 3 Part 4
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3. Identify different forms of symmetry, translations, rotations, and reflections.
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Lesson 7. Symmetry Part 1 Part 2 Part 3 Part 4 Part 5
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Lesson 8. Translation Part 1 Part 2 Part 3 Part 4
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Lesson 9. Rotation Part 1 Part 2 Part 3 Part 4 Part 5
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Lesson 10. Reflection Part 1 Part 2 Part 3 Part 4
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4. Understand the Pythagorean theorem and its converse.
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Lesson 11. Pythagorean Theorem Part 1 Part 2 Part 3 Part 4
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Lesson 12. Converse of Pythagorean Theorem Part 1 Part 2 Part 3
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Lesson 13. Proofs of Pythagorean Theorem Part 1 Part 2 Part 3
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Lesson 14. Problems Part 1 Part 2 Part 3 Part 4
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5. Work with properties of parallel lines.
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Lesson 15. Parallel Lines
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Lesson 16. Parallel Lines
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Lesson 17. Parallel Lines
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Lesson 18. Problems Part 1 Part 2 Part 3 Part 4 Part 5
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Lesson 19. Interior Angle Sum of a Triangle Theorem Part 1 Part 2 Part 3
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Lesson 20. Exterior Angle of a Triangle Part 1 Part 2 Part 3 Part 4
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Representational Systems, Including Concrete Models, Drawings, and Coordinate Geometry
6. Use concrete representations, such as manipulatives, drawings, and coordinate geometry to represent geometric objects.
Lesson 21. Coordinate Plane
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Lesson 22. Problems
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Lesson 23. Problems
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Lesson 24. Problems
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Lesson 25. Problems
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Lesson 26. Problems Problems 2
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7. Construct basic geometric figures using a compass and straightedge, and represent three-dimensional objects through two-dimensional drawings.
Lesson 26. Basic construction Part 2 Part 3 Part 4 Part 5 Part 6 Part 7
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Lesson 27. Nets Part 2 Part 3 Part 4 Part 5 Part 6 Part 7
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8. Combine and dissect two- and three- dimensional figures into familiar shapes, such as dissecting a parallelogram and rearranging the pieces to form a rectangle of equal area.
Lesson 31. Problems
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Lesson 32. Problems
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Techniques, Tools, and Formulas for Determining Measurements
9. Estimate and measure time, length, angles, perimeter, area, surface area, volume, weight/mass, and temperature through appropriate units and scales.
Lesson 33. Measuring length Part 1 Part 2 Part 3
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Lesson 34. Measuring angles Part 1 Part 2 Part 3 Part 4
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Lesson 35. Perimeter of polygons Part 1 Part 2 Part 3
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Lesson 36. Area of polygons Part 1 Part 2
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Lesson 37. Surface area of 3D objects Part 1 Part 2 Part 3
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Lesson 38. Volume of Solids Part 1 Part 2 Part 3 Part 4
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10. Identify relationships between different measures within the metric or customary systems of measurements and estimate an equivalent measurement across the two systems.
Lesson 39. Metric System Conversion Part 1 Part 2 Part 3 Part 4 Part 5
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Lesson 40. Metric Conversion Areas and Volumes Part 1 Part 2 Part 3 Part 4
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Lesson 41. Dimensional Analysis Part 1 Part 2 Part 3 Part 4
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11. Calculate perimeters and areas of two-dimensional objects and surface areas and volumes of three- dimensional objects, and use mathematics to solve real-world problems involving the volume of cones, cylinders, and spheres.
Lesson 42. Perimeter formulas Part 1
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Lesson 43. Perimeter problems Part 1 Part 2 Part 3 Part 4 Part 5 Part 6
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Lesson 44. Area formulas Part 1 Part 2 Part 3
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Lesson 45. Area problems Part 1 Part 2 Part 3 Part 4 Part 5 Part 6 Part 7 Part 8
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Lesson 46. Surface area formulas
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Lesson 47. Surface area problems Part 1 Part 2 Part 3 Part 4 Part 5 Part 6
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Lesson 48. Volume formulas
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Lesson 49. Volume problems Part 1 Part 2 Part 3 Part 4 Part 5
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12. Relate proportional reasoning to the construction of scale drawings or models.
Lesson 50. Scale factor
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Lesson 51. Scale factor
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Lesson 52. Scale factor
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Lesson 53. Scale factor
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Lesson 54. Scale factor
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13. Use measures such as miles per hour to analyze and solve problems.
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Lesson 56. Problems
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Lesson 57. Unit rate problems
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Lesson 58. Problems
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Lesson 59. Problems
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Assessment
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CSET Math Subtest II Geometry & Measurement Questions: 12-13, 18, and 19.
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Good multiple choice items for review: Work through problems that deal with geometry and measurement.
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NY Grade 3 State Test Questions
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NY Grade 4 State Test Questions
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NY Grade 5 State Test Questions
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NY Grade 6 State Test Questions
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NY Grade 7 State Test Questions
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NY Grade 8 State Test Questions
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Good constructed response items:
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Access the Mathematics Assessment Project website. Work through problems from the Grades 6 & 7 Tests for Middle School that deal with the measurement and geometry domain. You may also access the summative tasks page if you want to solve more problems.
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​Access the Illustrative Mathematics Project website. Open the Content Standards page. Open the Grades 1-5 Geometry and Measurement & Data pages and the Grades 6-8 Geometry page and solve the tasks associated with the measurement and geometry content standards.
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