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

The School District of Palm Beach County
GEOMETRY HONORS
3rd Quarter Scope
2010 - 2011
Benchmarks
Topic &
Suggested
Pacing
Next Generation Sunshine State Standards
January 4 March 11
MA.912.D.9.3
Use vectors to model and solve application problems.
8.5
Explore and use other sequences found in nature such as the
MA.912.D.11.5 Fibonacci sequence and the golden ratio.
7.4 Concept Byte
Ratios and
Proportions
Similar Polygons
Proving Triangles
Similar
Use properties of congruent and similar polygons to solve
MA.912.G.2.3 mathematical or real-world problems.
7.1-7.3, 10.4
Apply transformations (translations, reflections, rotations,
dilations, and scale factors) to polygons. to determine
congruence, similarity, and symmetry. Know that images
MA.912.G.2.4 formed by translations, reflections, and rotations are
congruent to the original shape. Create and verify
tessellations of the plane using polygons.
9.1-9.7
Explain the derivation and apply formulas for perimeter and
MA.912.G.2.5 area of polygons (triangles, quadrilaterals, pentagons, etc.).
10.1-10.4
Use coordinate geometry to prove properties of congruent,
regular and similar polygons, and to perform transformations
MA.912.G.2.6
in the plane.
9.1-9.3, 9.5
Similarity in
Right Triangles
The Golden Ratio
Proportions in
Triangles
The Pythagorean
Theorem and Its
Converse
Special Right
Triangles
Trigonometry
Angles of
Elevation and
Depression
Vectors
Student Target
I can…
• Write ratios and solve proportions
• Identify and apply similar polygons
• Use the AA ~ Postulate and the SAS ~ and SSS ~ Theorems
• Use similarity to find indirect measurements
• Find and use relationships in similar right triangles
• Use the Side-Splitter Theorem and the Triangle-AngleBisector Theorem
• Use the Pythagorean Theorem and its converse
• To use the properties of 45 – 45 – 90 and 30 – 60 – 90
triangles
• Use the sine, cosine, and tangent ratios to determine side
lengths and angle measures in right triangles
• Use angles of elevation and depression to solve problems
• Describe vectors
• Solve problems involving vector addition
• Identify isometries
• Find translation images of figures
• Find reflection images of figures
• Draw and identify rotation images of figures
• Identify the type of symmetry in a figure
• Understand dilation images of figures
• Find compositions of reflections, including glide reflections
• Classify isometries
• Identify figures that tessellate
• Identify transformations and symmetries in tessellations
• Find the area of parallelograms and triangles
• Find the area of a trapezoid, rhombus, or kite
• Find the area of a regular polygon
Core
Pearson
Geometry
Honors Gold
Series
7.1
7.2
7.3
7.4
7.4
Concept
Byte
7.5
8.1
8.2
8.3
8.4
8.5
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
Ratio and
Proportion
Video
MA.912.G.2.3
Similar
Shapes Video
MA.912.G.2.4
Similar
Triangles
Video (Part 1)
MA.912.G.2.5
Similar
Triangles
Video (Part 2)
MA.912.G.4.6
Pythagorean
Theorem
Video
MA.912.G.5.4
Intro to 30-6090 Triangles
Video
MA.912.T.2.1
Determine how changes in dimensions affect the perimeter
MA.912.G.2.7 and area of common geometric figures.
10.1, 10.3-10.4
Use properties of congruent and similar triangles to solve
MA.912.G.4.4 problems involving lengths and areas.
7.1, 7.3, 10.4
MA.912.G.4.5
Apply theorems involving segments divided proportionally.
7.5
Prove that triangles are congruent or similar and use the
MA.912.G.4.6 concept of corresponding parts of congruent triangles.
7.3
Use coordinate geometry to prove properties of congruent,
Translations
Reflections
Rotations
Symmetry
Dilations
Compositions of
Reflections
Tessellations
Areas of
Parallelograms
and Triangles
MA.912.G.4.8 regular, and similar triangles.
7.3
MA.912.G.5.1
Prove and apply the Pythagorean Theorem and its converse.
8.1
Areas of
Trapezoids,
Rhombuses, and
Kites
• Find the area of a regular polygon
• Find the perimeters and areas of similar polygons
10.4
30 - 60 - 90
Triangles Part
II Video
45 - 45 - 90
Triangles
Video
Basic
Trigonometry
Video
Basic
Trigonometry
Video II
Angles of
Elevation and
Depression
The Basics of
Vectors Video
Areas of Regular
Polygons
State and apply the relationships that exist when the altitude
MA.912.G.5.2 is drawn to the hypotenuse of a right triangle.
Perimeters and
7.4
Areas of Similar
Use special right triangles (30° - 60° - 90° and 45° - 45° - 90°)
MA.912.G.5.3 to solve problems.
8.2, 10.3
MA.912.G.5.4
Solve real-world problems involving right triangles.
7.3, 8.1-8.4
Determine the center of a given circle. Given three points not
on a line, construct the circle that passes through them.
MA.912.G.6.1 Construct tangents to circles. Circumscribe and inscribe
circles about and within triangles and regular polygons.
10.3
Determine whether a solution is reasonable in the context of
MA.912.G.8.3 the original situation.
7.4, 8.1
Translations
Figures
Reflections
Rotations
Symmetry
Dilations and
Similarity
Area and
Perimeter of
Rectangles
and Triangles
Video
Define and use the trigonometric ratios (sine, cosine,
tangent, cotangent, secant, cosecant) in terms of angles of
MA.912.T.2.1
right triangles.
8.3-8.4
Area of
Trapezoids
Video
Area of
Regular
Polygons
Video
Perimeters
and Areas of
Similar
Figures Video
Secondary Data-Driven Benchmark
Comprehension Check