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

The School District of Palm Beach County
INFORMAL GEOMETRY
3rd Quarter Scope
2010 - 2011
Benchmarks
Next Generation Sunshine State Standards
Identify and describe convex, concave, regular, and
MA.912.G.2.1 irregular polygons.
10.1
Determine the measures of interior and exterior
MA.912.G.2.2 angles of polygons, justifying the method used.
10.2
Use properties of congruent and similar polygons to
MA.912.G.2.3 solve mathematical or real-world problems.
9.1-9.7
Explain the derivation and apply formulas for
perimeter and area of polygons (triangles,
MA.912.G.2.5
quadrilaterals, pentagons, etc.).
10.3-10.5
Describe, classify, and compare relationships among
quadrilaterals including the square, rectangle,
MA.912.G.3.1
rhombus, parallelogram, trapezoid, and kite.
8.1-8.5
Compare and contrast special quadrilaterals on the
MA.912.G.3.2 basis of their properties.
8.1-8.5
Use properties of congruent and similar triangles to
MA.912.G.4.4 solve problems involving lengths and areas.
9.3-9.7
Topic &
Suggested
Pacing
January 4 - March
11
Student Target
Core
I can…
Geometry
Concepts and
Applications
(Glencoe)
• Identify parts of quadrilaterals and find the sum of the
measures of the interior angles of a quadrilateral
• Identify and use the properties of parallelograms
Parallelograms
• Identify and use tests to show that a quadrilateral is a
parallelogram
Tests for
Parallelograms
• Identify and use the properties of rectangles, rhombi, and
squares
Rectangles,
• Identify and use the properties of trapezoids and isosceles
Rhombi, and
trapezoids
Squares
• Use ratios and proportions to solve problems
Trapezoids
• Identify similar polygons
• Use AA, SSS, and SAS similarity tests for triangles
Using Ratios and
• Identify and use the relationships between proportional
Proportions
parts of triangles
Similar Polygons • Use proportions to determine whether lines are parallel to
sides of triangles
Similar Triangles • Identify and use the relationships between parallel lines and
proportional parts
Proportional Parts
• Identify and use proportional relationships of similar
and Triangles
triangles
Triangles and
• Name polygons according to the number of sides and angles
Parallel Lines
• Find measures of interior and exterior angles of polygons
• Estimate the areas of polygons
Proportional Parts
and Parallel Lines • Find the areas of triangles and trapezoids
• Find the areas of regular polygons
Perimeters and
• Identify and use parts of circles
Similarity
• Identify major arcs, minor arcs, and semicircles and find the
measures of arcs and central angles
Naming Polygons
• Identify and use the relationships among arcs, chords, and
diameters
Diagonals and
Quadrilaterals
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
10.5
11.1
11.2
11.3
11.4
11.5
11.6
Tutorial
Support
AYP
Support
The
Properties of
FCAT 1
a
Resource Page
Parallelogram
Theorems
Dealing with
Parallelogram
s
Chapter 8
Resources
Chapter 9
Resources
Chapter 10
Resources
The Types
and
Properties of
Quadrilaterals
Ratio and
Proportion
Video
Similar
Shapes Video
Chapter 11
Resources
Apply theorems involving segments divided
MA.912.G.4.5 proportionally.
9.4-9.6
Prove that triangles are congruent or similar and use
the concept of corresponding parts of congruent
MA.912.G.4.6
triangles.
9.3
Define and identify: circumference, radius, diameter,
arc, arc length, chord, secant, tangent and concentric
MA.912.G.6.2
circles.
11.1-11.5
Determine and use measures of arcs and related
angles (central, inscribed, and intersections of secants
MA.912.G.6.4
and tangents).
11.1-11.4
Solve real-world problems using measures of
circumference, arc length, and areas of circles and
MA.912.G.6.5
sectors.
11.5-11.6
diameters
• Inscribe regular polygons in circles and explore the
relationship between the length of a chord and its distance
Areas of Polygons
from the center of the circle
Areas of Triangles • Solve problems involving circumferences of circles
and Trapezoids
• Solve problems involving areas and sectors or circles
Diagonals and
Angle Measure
Areas of Regular
Polygons
Similar
Triangles
Video (Part 1)
Similar
Triangles
Video (Part 2)
Parts of a Circle
Arcs and Central
Angles
Arcs and Chords
Inscribed Polygons
Triangle
Proofs (ASA,
SAS, AAS,
SSS, or HL)
Circumference of a
Circle
Area of a Circle
Parallel Lines
and Similar
and
Congruent
Triangles
Area and
Perimeter of
Rectangles
and Triangles
Video
Perimeters
and Areas of
Similar
Figures Video
Area of
Regular
Polygons
Video
Area of
Trapezoids
Video
Symmetry
What is a
Tessallation?
Circles
Arcs and
Chords Video
Inscribed
Angle Video
Area of a
Circle Video
Area of
Circles in the
Coordinate
Plane
Secondary Data-Driven Benchmark
Comprehension Check