Download Scope Geo Reg FINAL - The School District of Palm Beach County

The School District of Palm Beach County
GEOMETRY REGULAR
3rd Quarter Scope
2010 - 2011
Benchmarks
Topic &
Suggested
Pacing
Next Generation Sunshine State Standards
January 4 March 11
MA.912.G.2.4
MA.912.G.2.5
MA.912.G.2.7
MA.912.G.3.1
Core
I can…
Pearson
Geometry
• Classify polygons in the coordinate plane
Polygons in the • Name coordinates of special figures by using their
properties
Coordinate
Plane
• Prove theorems using figures in the coordinate plane
• Write ratios and solve proportions
Use properties of congruent and similar polygons to solve
Applying
• Identify and apply similar polygons
mathematical or real-world problems.
Coordinate
• Use the AA ~ Postulate and the SAS ~ and SSS ~
7.1-7.3, 10.4
Geometry
Theorems
Proofs Using • Use similarity to find indirect measurements
Apply transformations (translations, reflections, rotations,
Coordinate
• Find and use relationships in similar right triangles
dilations, and scale factors) to polygons. to determine
Geometry
• Use the Side-Splitter Theorem and the Triangle-Anglecongruence, similarity, and symmetry. Know that images
Bisector Theorem
formed by translations, reflections, and rotations are
Ratios and
• Use the Pythagorean Theorem
Proportions
congruent to the original shape. Create and verify tessellations
• Use the converse of the Pythagorean Theorem
of the plane using polygons.
Similar
• To use the properties of 45 – 45 – 90 and 30 – 60 – 90
9.1-9.7
Polygons
triangles
• Use the sine, cosine, and tangent ratios to determine
Proving
Explain the derivation and apply formulas for perimeter and
side lengths
Triangles
area of polygons (triangles, quadrilaterals, pentagons, etc.).
Similar
• Use the sine, cosine, and tangent ratios to find angle
10.1-10.4
measures in right triangles
Similarity in
• Use angles of elevation and depression to solve
Right Triangles
Determine how changes in dimensions affect the perimeter
problems
and area of common geometric figures.
Proportions in • Identify isometries
10.1, 10.3-10.4
Triangles
• Find translation images of figures
• Find reflection images of figures
Describe, classify, and compare relationships among
The
• Draw and identify rotation images of figures
quadrilaterals including the square, rectangle, rhombus,
Pythagorean
• Identify the type of symmetry in a figure
Theorem
parallelogram, trapezoid, and kite.
• Understand dilation images of figures
6.7
Special Right • Find compositions of reflections, including glide
Find the lengths and midpoints of line segments in twoMA.912.G.1.1 dimensional coordinate systems.
6.7
MA.912.G.2.3
Student Target
6.7
6.8
6.9
7.1
7.2
7.3
7.4
7.5
8.1
8.2
8.3
8.4
9.1
9.2
9.3
9.4
9.5
9.6
9.7
10.1
10.2
10.3
10.4
Tutorial
Support
AYP
Support
MA.912.G.1.1
Coordinate
Geometry
MA.912.G.2.3
Proofs in
Coordinate
Geometry
MA.912.G.2.4
Ratio and
Proportion
Video
MA.912.G.2.5
Similar
Shapes Video
MA.912.G.3.3
Similar
Triangles
Video (Part 1)
MA.912.G.4.6
Use coordinate geometry to prove properties of congruent,
MA.912.G.3.3 regular, and similar quadrilaterals.
6.7-6.9
Classify, construct, and describe triangles that are right, acute,
MA.912.G.4.1 obtuse, scalene, isosceles, equilateral, and equiangular.
6.7
Use properties of congruent and similar triangles to solve
MA.912.G.4.4 problems involving lengths and areas.
Special Right
Triangles
• Find compositions of reflections, including glide
reflections
Trigonometry • Classify isometries
• Identify figures that tessellate
Angles of
• Identify transformations and symmetries in tessellations
Elevation and • Find the area of parallelograms and triangles
Depression
• Find the area of a trapezoid
• Find the area of a rhombus or kite
Translations
• Find the area of a regular polygon
Reflections
• Find the perimeters and areas of similar polygons
Rotations
7.1, 7.3, 10.4
Similar
Triangles
Video (Part 2)
MA.912.G.5.4
Pythagorean
Theorem
Video
MA.912.T.2.1
Intro to 30-6090 Triangles
Video
Symmetry
MA.912.G.4.5
Apply theorems involving segments divided proportionally.
7.5
Dilations
Compositions of
Reflections
Prove that triangles are congruent or similar and use the
MA.912.G.4.6 concept of corresponding parts of congruent triangles.
7.3
MA.912.G.5.1
Prove and apply the Pythagorean Theorem and its converse.
8.1
State and apply the relationships that exist when the altitude is
MA.912.G.5.2 drawn to the hypotenuse of a right triangle.
7.4
Use special right triangles (30° - 60° - 90° and 45° - 45° - 90°) to
Tessellations
Areas of
Parallelograms
and Triangles
Areas of
Trapezoids,
Rhombuses,
and Kites
Areas of
Regular
Polygons
MA.912.G.5.3 solve problems.
8.2, 10.3
MA.912.G.5.4
Solve real-world problems involving right triangles.
7.3, 8.1-8.4
Perimeters and
Areas of Similar
Figures
30 - 60 - 90
Triangles Part
II Video
45 - 45 - 90
Triangles
Video
Basic
Trigonometry
Video
Basic
Trigonometry
Video II
Angles of
Elevation and
Depression
Translations
Determine whether a solution is reasonable in the context of
MA.912.G.8.3 the original situation.
7.4, 8.1
Reflections
Write geometric proofs, including proofs by contradiction and
proofs involving coordinate geometry. Use and compare a
MA.912.G.8.5 variety of ways to present deductive proofs, such as flow
charts, paragraphs, two-column, and indirect proofs.
6.8-6.9
Rotations
Define and use the trigonometric ratios (sine, cosine, tangent,
cotangent, secant, cosecant) in terms of angles of right
MA.912.T.2.1
triangles.
8.3-8.4
Symmetry
Dilations and
Similarity
Area and
Perimeter of
Rectangles
and Triangles
Video
Area of
Trapezoids
Video
Area of
Regular
Polygons
Video
Perimeters
and Areas of
Similar
Figures Video
Secondary Data-Driven Benchmark
Comprehension Check