Unit 6 Geometry Grade 6

Unit 5 Geometry Grade 6

Prerequisites

5.G.1 Calculate the perimeter of regular and irregular polygons

5.G.2 Identify pairs of similar triangles

5.G.3 Identify the ratio of corresponding sides of similar triangles

5.G.4 Classify quadrilaterals by properties of their angles and sides

5.G.5 Know that the sum of the interior angles of a quadrilateral is 360 degrees

5.G.6 Classify triangles by properties of their angles and sides

5.G.7 Know that the sum of the interior angles of a triangle is 180 degrees

5.G.8 Find a missing angle when given two angles of a triangle

5.G.9 Identify pairs of congruent triangles

5.G.10 Identify corresponding parts of congruent triangles

5.G.11 Identify and draw lines of symmetry of basic geometric shapes

5.G.12 Identify and plot points in the first quadrant

5.G.13 Plot points to form basic geometric shapes (identify and classify)

5.G.14 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

6.G.1 Calculate the length of corresponding sides of similar triangles, using proportional reasoning

6.G.2 Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas

6.G.3 Use a variety of strategies to find the area of regular and irregular polygons

6.G.4 Determine the volume of rectangular prisms by counting cubes and develop the formula

6.G.5 Identify radius, diameter, chords and central angles of a circle

6.G.6 Understand the relationship between the diameter and radius of a circle

6.G.7 Determine the area and circumference of a circle, using the appropriate formula

6.G.8 Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle

6.G.9 Understand the relationship between the circumference and the diameter of a circle

6.G.10 Identify and plot points in all four quadrants

6.G.11 Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)

6.M.7 Estimate volume, area, and circumference

KNOW		UNDERSTAND	DO
arc perpendicular area plot central angle point angle proportional reasoning chord quadrant circle quadrilateral circumference radius trapezoid irregular polygon length parallel parallelogram perimeter A circle contains 360	congruent rectangle coordinate plane rectangular prism corresponding sides regular polygon develop formulas rhombus diameter sector geometric shape similar triangles geometry square height triangle vertex volume width Pi ()	* 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.	* 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

Geometry Grade 6

Timeline

Estimated Time Allotted Enrichment Suggestions

Day 1-Preassessment and Introduction (Geometry Grid-Show Me What You Know) Soapy Geom., Soma Cubes, Geom. Sketchpad, Figure This #4, E 13-6, Reptiles

Day 2-Correct Definitions/Symbols

Day 3- Coordinate Graphing/Area and Perimeter (*see state test question)

Day 4- Plane Figures (Regular/Irregular)

Day 5- Area and Perimeter of Quadrilaterals (Square and Rectangle) Tiles and Style, Footsies, Perimeter Pennies, E 4-5, Getting Here to There, Mathtoons

Day 6- Area and Perimeter of Quadrilaterals (Parallelogram)

Day 7-Quiz #1

Day 8-Area and Perimeter of Triangles E 14-1, You Can Count On It!

Day 9-Similar Triangles using Proportions

Day 10-Area and Perimeter of Trapezoids (Using Knowledge of Rectangles/Triangles) Trapezoid formula activity

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) Bubble Mania, 1^st 500 of Pi, The Derivation of Pi, Infinite Secrets

Day 15-Circumference C=2r OR d Finding Circumference, Flying Saucers, Circumference V. Diameter, Circle the Earth

Day 16-Area of a Circle Area of Circle activity, Surrounding a Circle, E 4-6, The Goat Problem

Day 17-Area of a Sector Area of an Ellipse, Investigation Question

Day 18-Quiz #3

Day 19-3-D Figures and Faces/Vertices/Edges On the Ball

Day 20-Exploring Volume of 3-D Figures using Hands-On Manipulatives Discovering Math: Exploring Geom.

Day 21-Calculating Volume The Better Box, Figure This #3

Day 22-Quiz #4

Days 23 and 24-Review Geometry Unit

Day 25-Test

Enrichment for Angles

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