Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Duality (projective geometry) wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Analytic geometry wikipedia , lookup
Euler angles wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of geometry wikipedia , lookup
Mathematics Curriculum Diocese of Sioux City Grade 6 Standard 2 Standard 3: Understands and applies properties of geometry. Benchmark 1: Uses properties of figures to describe relationships Vocabulary Critical Objectives: 6.3.1.1. Identifies and names line segments, rays, lines, parallel lines and Parallel lines Perpendicular perpendicular lines Intersecting lines 6.3.1.2. Describes figures using properties of lines (ITBS)* Line segment 6.3.1.3. Understands point, line, and plane are basic terms in geometry Line and are used to define other terms Ray 6.3.1.4. Knows line segments are bound at both points, while rays extend Acute angle Right angle infinitely out in one direction and lines are infinitely out in both Obtuse angle directions Adjacent angle 6.3.1.5. Knows lines, rays, and line segments can be parallel, Diameter perpendicular, or intersecting Radius 6.3.1.6. Identifies the various types of lines in figures Center 6.3.1.7. Names intersecting, perpendicular and parallel lines (ITBS) 6.3.1.8. Recognizes geometric properties in patterns (ITBS) 6.3.1.9. Classifies and names angles as acute, right, obtuse or straight 6.3.1.10. Describes figures using properties of angles (ITBS)* 6.3.1.11. Knows the measure of acute, right, and obtuse angles 6.3.1.12. Knows the relationship between adjacent angles 6.3.1.13. Identifies the various types of angles in figures 6.3.1.14. Sorts figures based on angle type (ITBS) 6.3.1.15. Describes figures using properties of circles 6.3.1.16. Knows the parts of a circle 6.3.1.17. Identifies various parts of a circle 6.3.1.18. Classifies polygons as triangles, quadrilaterals, pentagons, hexagons, octagons or decagons 6.3.1.19. Classifies triangular and rectangular prisms and names their parts Diocese of Sioux City -1- 2006 Mathematics Curriculum Diocese of Sioux City Grade 6 Standard 2 Standard 3: Understands and applies properties of geometry. Benchmark 2: Uses coordinate geometry to describe relationships Critical Objectives: 6.3.2.1. Uses the coordinate plane to specify locations, describe paths, and find distances between points 6.3.2.2. Knows the four quadrants of the coordinate plane 6.3.2.3. Knows how to determine length using coordinate points 6.3.2.4. Locates specific coordinate pairs on a grid 6.3.2.5. Determines length using coordinate points Diocese of Sioux City -2- Vocabulary Coordinate plane Point Quadrant Origin Line x-intercept y-intercept 2006 Mathematics Curriculum Diocese of Sioux City Grade 6 Standard 2 Standard 3: Understands and applies properties of geometry. Benchmark 3: Applies the concepts of transformation and symmetry Critical Objectives: 6.3.3.1. Describes sizes and orientations of figures using translations, rotations, and reflections 6.3.3.2. Knows the basic types of transformations 6.3.3.3. Understands a tessellation is a repeating pattern of one or more shapes that contains no gaps 6.3.3.4. Recognizes and sketches the basic classes of transformations 6.3.3.5. Creates tessellated designs 6.3.3.6. Uses line symmetry to describe various figures 6.3.3.7. Knows various figures have a line symmetry containing the midpoints of the parallel opposite sides 6.3.3.8. Knows the line of or corresponding angles are congruent 6.3.3.9. Describes characteristics of figures using line symmetry Diocese of Sioux City -3- Vocabulary Transformation Reflection Translation Rotation Tessellation Line symmetry Midpoint Parallel lines Corresponding angles 2006 Mathematics Curriculum Diocese of Sioux City Grade 6 Standard 2 Standard 3: Understands and applies properties of geometry. Benchmark 4: Uses geometric reasoning to solve problems Critical Objectives: 6.3.4.1. Uses models to develop spatial visualization of threedimensional figures 6.3.4.2. Understands a three-dimensional figure can have many nets 6.3.4.3. Draws nets of three-dimensional figures 6.3.4.4. Draws perspectives of three-dimensional objects 6.3.4.5. Determines the perimeter and area of complex figures (ITBS)* 6.3.4.6. Knows the formulas for perimeter 6.3.4.7. Knows the formulas for area 6.3.4.8. Understands the meaning of the variables in each formula 6.3.4.9. Discovers the formula for perimeter and area of complex figures using the formulas of simple figures 6.3.4.10. Computes the perimeter of complex figures (ITBS) 6.3.4.11. Computes the area of complex figures 6.3.4.12. Uses proportional reasoning (ITBS)* 6.3.4.13. Knows similar figures have equal angles 6.3.4.14. Knows characteristics of similar figures 6.3.4.15. Determines similarity of shapes using scale factor (ITBS) 6.3.4.16. Creates dilations of figures 6.3.4.17. Computes the perimeter of a polygon 6.3.4.18. Computes the area of a rectangle and of a right angle Diocese of Sioux City -4- Vocabulary Network Graph theory Vertices Edge Isometric paper Cross section Net Perspective Formula Perimeter Complex figure Scale factor Dilation 2006