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2010 - 2011 Geometry B - Standards.xls

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2010 - 2011 Geometry B - Standards.xls Powered By Docstoc
					        Geometry B - Standards                                       Attempt 1   Attempt 2   Midterm   Dead Week   Final Exam
1. Express square roots in equivalent radical form and their
decimal approximations when appropriate.
2. Use trigonometric ratios (sine, cosine, and tangent) and the
Pythagorean Theorem to solve for unknown lengths in right
triangles.
3. Determine if three given lengths form a triangle. If the given
lengths form a triangle, classify it as acute, right, or obtuse.
4. Determine the missing dimensions, angles, or area of regular
polygons, quadrilaterals, triangles, circles, composite shapes,
and shaded regions.
5. Identify, classify, model, sketch, and label representations of
three-dimensional objects from nets and from different
perspectives.
6. Identify and apply formulas for surface area and volume of
spheres, right solids, including rectangular prisms and pyramids;
cones; and cylinders; and compositions thereof. Solve related
context-based problems.
7. Identify and apply formulas to solve for the missing
dimensions of spheres and right solids, including rectangular
prisms and pyramids, cones, and cylinders, both numerically and
symbolically.
8. Apply a scale factor to determine similar two- and three-
dimensional figures, are similar. Compare and compute their
respective areas and volume of similar figures.
1. Express square roots in equivalent radical form and their
        decimal approximations when appropriate.               # of Days
                        Vocabulary
                      Prime Numbers
                          Factors
                       Square Roots
                         Radicals
                  Simplest Radical Form
                       Decimal Form
                  Special Right Triangles
                         45-45-90
                         30-60-90


                    Learning Targets
      Students will be able to prime factor a number.
         Students will be able to simplify radicals.
  Students will be able to express radicals as decimals.
Students will be able to find the missing sides of 45-45-90
                           triangle.
Students will be able to find the missing sides of 30-60-90
                           triangle.


              Lessons/Homework/Projects
              Prime Factor Trees Worksheet
             Simplifying Radicals Worksheet
            Special Right Triangles Worksheet
       How High? The Right Stuff - Page 128, 129
2. Use trigonometric ratios (sine, cosine, and tangent) and the
Pythagorean Theorem to solve for unknown lengths in right
triangles.                                                             # of Days
                            Vocabulary
                               Ratios
                           Trigonometry
                                Sine
                              Cosine
                              Tangent
                           Adjacent Side
                          Opposite Side
                            Hypotenuse
                          Right Triangles
                               Legs
                      Pythagorean Theorem


                        Learning Targets
 Students will be able to find the missing sides of a right triangle
                        using trignometry.
 Students will be able to find the missing sides of a right triangle
                  using Pythagorean Theorem.


                  Lessons/Homework/Projects
              Activity - Intro to Trig Ratios - Pg 133
            Trigonometric - Mini Project - Worksheet
                    Trigonometry Worksheets
        How High? Surveyor's Trig Trick - Page 130, 131
                Pythagorean Theorem Worksheet
              Shipping Conundrum - Page 146, 147
3. Determine if three given lengths form a triangle. If the given
lengths form a triangle, classify it as acute, right, or obtuse.       # of Days
                           Vocabulary
                            Inequalities
                        Triangle Inequality
                          Acute Triangle
                         Obtuse Triangle
                          Right Triangles


                        Learning Targets


Students will be able to determine if three lengths form a triangle.
   Students will be able to dlassify a triangle as acute, right, or
                              obtuse.


                 Lessons/Homework/Projects
          Converse Pythagorean Theorem Worksheet
4. Determine the missing dimensions, angles, or area of regular
polygons, quadrilaterals, triangles, circles, composite shapes, and
shaded regions.                                                          # of Days
                             Vocabulary
                                 Area
              Triangles - angles, sides, base, and height
      Parallelogram - angles, sides, diagonals, base, and height
               Rhombus - angles, sides, and diagonals
       Rectangles - angles, sides, diagonals, length, and width
         Squares - angles, sides, diagonals, and side length
        Trapezoid - angles, sides, base 1, base 2, and height
       Polygons - angles, side lengths, perimeter, and apothem
            Circles - radius, diameter, and circumference,
     Composite Shapes - combine 2 or more figures from above
     Shaded Regions - overlapping 2 or more figures from above


                          Learning Targets
 Students will be able to determine angles, sides, base, height, and
                           area of triangles.
  Students will be able to determine angles, sides, diagonals, base,
                  height, and area of parallelograms.
Students will be able to determine angles, sides, diagonals, and area
                            of a rhombus.
 Students will be able to determine angles, sides, diagonals, length,
                    width, and area of rectangles.
   Students will be able to determine angles, sides, diagonals, side
                     length, and area of squares.
  Students will be able to determine angles, sides, base 1, base 2,
                   height, and area of trapezoids.
  Students will be able to determine angles, side lengths, perimeter,
                apothem, and area of regular polygons.

   Students will be able to solve problems involving circles - radius,
diameter, circumference and area of circles. (exact and approximate)
Students will be able to solve composite shapes - combine 2 or more
                          figures from above.
Students will be able to solve shaded regions - overlapping 2 or more
                          figures from above


                   Lessons/Homework/Projects
            The Gum Drop - Intro to Area - Pg 148, 149
                          Triangle Worksheet
      Brother in the Box - Intro to Parallelogram Area - Pg 271
                       Parallelogram Worksheet
                         Rhombus Worksheet
                   Introduction to Squares - Pg 232
                Rectangles and Squares Worksheet
                    Trapezoid - Index Card Activity
                         Trapezoid Worksheet
            Polygon Angles Activity - Pg 233, 236, 237
                 Polygon Activity - a, b, c, d, p, Area
                           Polygon Worksheet
                        Slice of Pi - Pg 151, 152
                       Around the World - Pg 268
         Area of Circle Worksheet - With Shaded Regions
                    Polygon House - Pg 156 - 158
5. Identify, classify, model, sketch, and label representations of
three-dimensional objects from nets and from different
perspectives.                                                        # of Days
                           Vocabulary
                          2-Dimensional
                          3-Dimensional
                               Nets
                            Orthogonal
                             Isometric


                        Learning Targets
    Students will be able to draw 2-D nets from 3-D figures.
  Students will be able to draw 3-D figures from 2-dimensional
                              nets.
  Students will be able to draw the orthogonal view of a three
                       dimensional figure.
Students will be able to draw the orthogonal view of an isometric
                            drawing.
Students will be able to draw isometric drawings from orthogonal
                              views.


                  Lessons/Homework/Projects
                           Nets Activity
                         Nets Worksheet
                Orthogonal Views - Online Activity
                  Orthongonal Views Worksheet
               Isometric Drawings - Online Activity
                  Isometric Drawings Worksheet
6. Identify and apply formulas for surface area and volume of
spheres, right solids, including rectangular prisms and pyramids;
cones; and cylinders; and compositions thereof. Solve related
context-based problems.                                             # of Days
                          Vocabulary
                         Surface Area
                           Volume
                         Right Solids
                      Rectangular Prisms
                     Rectangular Pyramids
                            Cones
                          Cylinders
                           Sphere
                         Composition

                       Learning Targets

  Students will be able to calculate surface area and volume of
                       rectangular prisms.
  Students will be able to calculate surface area and volume of
                      rectangular pyramids.
  Students will be able to calculate surface area and volume of
                        rectangular cones.
  Students will be able to calculate surface area and volume of
                      rectangular cylinders.
  Students will be able to calculate surface area and volume of
                             spheres.
  Students will be able to calculate surface area and volume of
                    rectangular compositions.

                 Lessons/Homework/Projects
                 SA and V of Prism Worksheet
                 Swimming Pool - Pg 159 - 162
           King Tut - Intro to Pyramids - Pg 163 - 164
               SA and V of Pyramids Worksheet
                   The Luxor - Pg 165 - 166
 SA and V of Cones Worksheet
SA and V of Cylinders Worksheet
SA and V of Spheres Worksheet
Shopkeeper's Jar - Pg 167 - 169
7. Identify and apply formulas to solve for the missing
dimensions of spheres and right solids, including rectangular
prisms and pyramids, cones, and cylinders, both numerically and
symbolically.                                                        # of Days
                           Vocabulary
                          Surface Area
                             Volume
                           Right Solids
       Rectangular Prisms - Base Dimensions and Height
  Rectangular Pyramids - Base Dimensions, Height, and Slant
                           Height
  Cones - radius or diameter of base, height, and slant height
        Cylinders - radius or diameter of base and height
                   Sphere - radius or diameter


                        Learning Targets
Students will be able to solve for base dimensions or height of a
                              prism.
 Students will be able to solve for base dimensions, height, or
                    slant height of a pyramid.
Students will be able to solve for radius or diameter of the base
          or the height or the slant height of a cone.
 Students will be able to solve for radius or diameter of the base
                    or the height of a cylinder.
   Students will be able to solve for the radius or diameter of a
                              sphere.


                 Lessons/Homework/Projects
8. Apply a scale factor to determine similar two- and three-
dimensional figures, are similar. Compare and compute their
respective areas and volume of similar figures.                      # of Days
                          Vocabulary
                 Similar 2-dimensional figures.
                 Similar 3-dimensional figures.
                             Ratios
                           Area Ratios
                         Volume Ratios
                          Scale Factor


                       Learning Targets
Students will be able to find new dimensions of a figure given the
                            scale factor.
 Students will be able to find the new area of a figure given the
                            scale factor.
Students will be able to find the new volume of a figure given the
                            scale factor.


                 Lessons/Homework/Projects
                 Can There Be Giants - Pg 172
                  Similarity Figures Worksheet
                  Super Size It - Pg 170 - 171
1. Express square roots in equivalent radical form and their
decimal approximations when appropriate.                                               Score

                           Exceeds - 10%
Students will be able to apply special right triangle relationships to solve a real-
                                 life application.

                             Meets - 90%
  Students will be able to prime factor a number, put a square root in simplest
 radical form, find the missing sides of a 45-45-90 and a 30-60-90 triangle with
                 answers being in simplest radical form/decimals.


                          Developing - 0%
                 Students will be able to prime factor a number.

                    Students will be able to simplify radicals.

             Students will be able to express radicals as decimals.

      Students will be able to find the missing sides of 45-45-90 triangle.

      Students will be able to find the missing sides of 30-60-90 triangle.
2. Use trigonometric ratios (sine, cosine, and tangent) and the
Pythagorean Theorem to solve for unknown lengths in right
triangles.                                                                            Score

                           Exceeds - 10%
Students will be able to apply trigonometric ratios and/or Pythagorean Theorem
                            to a real life application.

                             Meets - 90%
Students will be able to find to label the sides of a right triangle as A, B, and C
or opposite, adjacent, and hypotenuse and find missing sides of a right triangle
  using trigonometric ratios (sine, cosine, tangent) or Pythagorean Theorem.


                         Developing - 0%
     Students will be able to find the missing sides of a right triangle using
                                    trignometry.
     Students will be able to find the missing sides of a right triangle using
                             Pythagorean Theorem.
3. Determine if three given lengths form a triangle. If the given
lengths form a triangle, classify it as acute, right, or obtuse.                       Score

                           Exceeds - 10%
 Students will be able to explain demonstrate why the triangle inequality is true.


                              Meets - 90%
Students will be able to determine if three lengths form a triangle and classify the
                         triangle as acute, right, or obtuse.


                          Developing - 0%
        Students will be able to determine if three lengths form a triangle.

      Students will be able to dlassify a triangle as acute, right, or obtuse.
4. Determine the missing dimensions, angles, or area of regular
polygons, quadrilaterals, triangles, circles, composite shapes, and shaded
regions.                                                                   Score

                               Exceeds - 10%
 Students will be able to apply finding missing dimensions, anges, and area to a real-life
                                        application.

                                 Meets - 90%

  Students will be able to determine the missing dimensions, angles, or area of regular
   polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions.

                              Developing - 0%
  Students will be able to determine angles, sides, base, height, and area of triangles.
  Students will be able to determine angles, sides, diagonals, base, height, and area of
                                     parallelograms.

   Students will be able to determine angles, sides, diagonals, and area of a rhombus.
  Students will be able to determine angles, sides, diagonals, length, width, and area of
                                       rectangles.
  Students will be able to determine angles, sides, diagonals, side length, and area of
                                       squares.
  Students will be able to determine angles, sides, base 1, base 2, height, and area of
                                       trapezoids.
Students will be able to determine angles, side lengths, perimeter, apothem, and area of
                                    regular polygons.
Students will be able to solve problems involving circles - radius, diameter, circumference
                       and area of circles. (exact and approximate)

Students will be able to solve composite shapes - combine 2 or more figures from above.

Students will be able to solve shaded regions - overlapping 2 or more figures from above
5. Identify, classify, model, sketch, and label representations of
three-dimensional objects from nets and from different
perspectives.                                                                      Score

                          Exceeds - 10%
  Students will be able to analyze the difference between nets, isometric, and
                                orthogonal views.

                            Meets - 90%

 Students will be able to draw 2-D nets from 3-D figures, 3-D figures from 2-D
nets, orthogonal view of a 3-D figure, orthogonal view of an isometric view, and
                    isometric views from orthogonal views.


                        Developing - 0%
           Students will be able to draw 2-D nets from 3-D figures.

       Students will be able to draw 3-D figures from 2-dimensional nets.

Students will be able to draw the orthogonal view of a three dimensional figure.

  Students will be able to draw the orthogonal view of an isometric drawing.

   Students will be able to draw isometric drawings from orthogonal views.
6. Identify and apply formulas for surface area and volume of
spheres, right solids, including rectangular prisms and pyramids;
cones; and cylinders; and compositions thereof. Solve related
context-based problems.                                                            Score

                          Exceeds - 10%
Students will be to identify and apply formulas for surface area and volume to a
                                real-life application.

                            Meets - 90%

Students will be able to identify and apply formulas for surface area and volume
of spheres, right solids, including rectangular prisms and pyramids; cones; and
 cylinders; and compositions thereof. Solve related context-based problems.

                        Developing - 0%
   Students will be able to calculate surface area and volume of rectangular
                                     prisms.
   Students will be able to calculate surface area and volume of rectangular
                                    pyramids.
   Students will be able to calculate surface area and volume of rectangular
                                      cones.
   Students will be able to calculate surface area and volume of rectangular
                                    cylinders.

    Students will be able to calculate surface area and volume of spheres.
   Students will be able to calculate surface area and volume of rectangular
                                  compositions.
7. Identify and apply formulas to solve for the missing dimensions of
spheres and right solids, including rectangular prisms and pyramids,
cones, and cylinders, both numerically and symbolically.                                    Score

                              Exceeds - 10%
Given a real-life application, students will be able find missing dimensions of a sphere
                                      or right solid.

                                 Meets - 90%
Students will be able to identify and apply formulas to solve for the missing dimensions
  of spheres and right solids, including rectangular prisms and pyramids, cones, and
                      cylinders, both numerically and symbolically.

                             Developing - 0%
        Students will be able to solve for base dimensions or height of a prism.

Students will be able to solve for base dimensions, height, or slant height of a pyramid.
 Students will be able to solve for radius or diameter of the base or the height or the
                                 slant height of a cone.
   Students will be able to solve for radius or diameter of the base or the height of a
                                         cylinder.

          Students will be able to solve for the radius or diameter of a sphere.
8. Apply a scale factor to determine similar two- and three-
dimensional figures, are similar. Compare and compute their
respective areas and volume of similar figures.                                      Score

                           Exceeds - 10%
    Given a real-life application students will be able to use a scale factor to
       calculate the surface area and volume of 3-dimensional figures.

                             Meets - 90%
Students will be able to apply a scale factor to the area of 2-dimensional figures
          and the surface area and volume of 3-dimensional figures.

                          Developing - 0%
Students will be able to find new dimensions of a figure given the scale factor.

  Students will be able to find the new area of a figure given the scale factor.

 Students will be able to find the new volume of a figure given the scale factor.

				
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