Prerequisites:

* Calculate the perimeter of regular and irregular polygons

* Identify pairs of similar triangles

* Identify the ratio of corresponding sides of similar triangles

* Classify quadrilaterals by properties of their angles and sides

* Know that the sum of the interior angles of a quadrilateral is 360 degrees

* Classify triangles by properties of their angles and sides* Know that the sum of the interior angles of a triangle is 180 degrees

* Find a missing angle when given two angles of a triangle

* Identify pairs of congruent triangles

 * Identify corresponding parts of congruent triangles* Identify and draw lines of symmetry of basic geometric shapes

* Identify and plot points in the first quadrant

* Plot points to form basic geometric shapes (identify and classify)

* Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)

NYS Content Standards:

* Calculate the length of corresponding sides of similar triangles, using proportional reasoning

* Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas

* Use a variety of strategies to find the area of regular and irregular polygons

* Determine the volume of rectangular prisms by counting cubes and develop the formula

* Identify radius, diameter, chords and central angles of a circle

* Understand the relationship between the diameter and radius of a circle

* Determine the area and circumference of a circle, using the appropriate formula

* Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle

* Understand the relationship between the circumference and the diameter of a circle

* Identify and plot points in all four quadrants

* Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)

* Estimate volume, area, and circumference

Students must KNOW the following definitions:

Students will UNDERSTAND:

* Area means the number of square units that can fit into a plane figure
* Based on the properties of certain plane figures, formulas can be derived to shorten the process of determining their areas and/or volume
* Pi is the ratio of any circle’s circumference to its diameter
* Points can be specifically located in two dimensions on a coordinate plane
* Switching the x and y coordinates results in a different point (not commutative)
* Area is measured in square units
* Graphing points is not commutative

Students will be able to DO the following:

* Calculate the length of corresponding sides of similar triangles using proportions
* Calculate areas of triangles and quadrilaterals using appropriate formulas
* Use various strategies to find areas of regular and irregular polygons
* Identify radius, diameter, chords and central angles of a circle
* Determine area and circumference of circles using appropriate formulas
* Determine the volume of rectangular prisms by counting cubes and developing the volume formula
* Calculate the area of basic polygons drawn on a coordinate plane
* Calculate the fractional part of a circle, based on the measure of the central angle.
* Identify and plot points in all four quadrants
* Calculate the area of basic polygons drawn on a coordinate plane

Expected Timeline: *Note: Please know that this could change slightly due to unforeseen issues.

Day 1- Preassessment and Introduction (Geometry  Grid-Show Me What You Know)
Day 2- Correct Definitions/Symbols
Day 3- Plane Figures (Regular/Irregular)
Day 4- Area and Perimeter of Quadrilaterals (Square and Rectangle)
Day 5- Area and Perimeter of Quadrilaterals (Parallelogram)
Day 6- Coordinate Graphing/Area and Perimeter (*see state test question)
Day 7- Quiz #1

Day 8- Area and Perimeter of Triangles
Day 9- Similar Triangles using Proportions
Day 10- Area and Perimeter of Trapezoids (Using Knowledge of Rectangles/Triangles)
Day 11- Area and Perimeter of Irregular Figures
Day 12- Quiz #2

Day 13- Preassessment #2 (Identifying the Parts of a Circle)
Day 14- Properties of a Circle (Explore Pi through String Activity)
Day 15- Circumference
Day 16- Area of a Circle
Day 17- Area of a Sector
Day 18- Quiz #3

Day 19-3-D Figures and Faces/Vertices/Edges
Day 20-Exploring Volume of 3-D Figures using Hands-On Manipulatives
Day 21-Calculating Volume
Day 22-Quiz #4

Days 23 and 24-Review Geometry Unit

Day 25-Test

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