# 2010 - 2011 Geometry B - Standards.xls

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```					        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,
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
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
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
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
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

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

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
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

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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