Feeling at Home With Geometry

by: Angelique Curtis and Brittany Brooks

This is a house on Tompkins Street in Cortland, NY.

Directions•This is your geometry booklet.•On each page, you will see pictures showing geometric ideas.•After looking at each picture you will read the definition at the bottom of the page.•Then, you will try to find more examples of the geometric definition given for the picture.•You will need a crayon or marker, GET READY.•You can trace directly onto the picture…•OR•I will give you tracing paper •AND•…a hunting you will go!

Through this activity you will find•Lines •Triangles•Polygons•Circles•Quadrilaterals •…AND MORE!

Here you can see triangles, big and small.

A triangle is a three sided polygon whose angles measure up to 180 degrees.Can you find some more??

Here you can see parallelograms.

A parallelogram is a quadrilateral with two pairs of parallel sides.

This shape is called a rhombus.

Notice the four sides, it is also classified as a quadrilateral, and also as a polygon.

Can you guess if it would be symmetrical??

This is an example of a polygon, more specifically a pentagon.

A polygon is a closed shape with sides. A pentagon is a five sided shape or polygon.

This hexagon is non symmetrical, cannot be divided into to mirror images.

This is a polygon also, having six sides it is called a hexagon.

These are parallelograms, yes you already saw them.

They are also symmetrical polygons too. They can be split in half and be made into two mirrored images.

Here you can see some examples of pairs of perpendicular lines.

A line is perpendicular to another if it meets or crosses and creates a right angle(or 90 degree angle). Can you find some more pairs of perpendicular lines?

•A pair of parallel lines are always the same distance apart (equidistant) and never meet.

•Intersecting lines are lines that meet at a point.

**Can you find more pairs of parallel and intersecting lines in the picture?

•Obtuse Angles are angles measuring between 90 and 180 degrees.

**Can you find any more obtuse angles?

•A right angle is an angle measuring 90 degrees. •Two lines that meet at a right angle are also said to be perpendicular.•An acute angle is an angle measuring between 0 and 90 degrees.

•Congruent Angles have the same angle in degrees.•They don’t have to be in the same direction.•They don’t have to be on similar sized lines.

•Two angles are called supplementary angles if the sum of their degree measurements add up to be 180 degrees.

•One angle in the pair is the supplement of the other to add up to 180 degrees.

•Two angles are called complementary angles when the sum of the degrees measurements equals 90 degrees.

•Can you find any complementary angles?

Hopefully now you have seen that geometry really is all around us. Next time you go out on the town your challenge is to open your eyes to the geometric world and see if you can apply some of your newly gained knowledge to the world you live in! Feel at home with geometry, because geometry is part of your home

Differentiation

Students having trouble, could trace on a larger piece of paper and be responsible for one concept at a time that is easier to see.

OR

Have them work at a computer or from a computer generated sheet from NLVM.com.

LINESI would like students to be able to distinguish between parallel lines and perpendicular lines

Triangles•Students should be able to distinguish between the different types of triangles•Students will learn that all the angles of a triangle add up to 180 degrees•Students will learn that the two smaller sides of a triangle will add up to seven in order for it to form a triangle.

PolygonsI would like students to know that the name of a polygon corresponds to the number of sides it has.

For example quadrilaterals are polygons with four sides…e

3.PS.16 Analyze problems by identifying relationships

3.RP.6 Develop and explain an argument using oral, written, concrete, pictorial, and/or graphical forms

3.CM.5 Share organized mathematical ideas through the manipulation of objects, drawings, pictures, charts, graphs, tables, diagrams, models, symbols , and expressions in written and verbal form

3.CN.6 Recognize the presence of mathematics in their daily lives

3.G.1 Define and use correct terminology when referring to shapes (circle, triangle, square, rectangle, rhombus, trapezoid, and hexagon)

3.G.5 Indentify and construct lines of symmetry

3rd Grade Standards

4th Grade Standards4. CM. 4 Organize and accurately label work (when tracing images from workbook)

4. CM. 9 Increase their use of mathematical vocabulary and language when communicating with others (when learning new geometry vocabulary)

4.CN.6 Recognize the presence of mathematics in their daily lives

4.G.1 Indentify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon

4.G.6 Draw and identify intersecting, perpendicular, and parallel lines

4.G.8 Classify angles as acute, obtuse, right and straight

5th Grade Standards5. CM.3 Organize and accurately label work5. CM. 9 Increase their use of mathematical vocabulary and language when communicating with others5.CM.10 Use appropriate vocabulary when describing objects, relationships, mathematical solutions, and rationale5. CN. 6 Recognize and provide examples of the presence of mathematics in their daily lives5.G.2 Identify pairs of similar triangles5.G.3 Identify the ratio of corresponding sides of similar triangles5.G.4 Classify quadrilaterals by properties of their angles and sides5.G.5 Know that the sum of the interior angles of a quadrilateral is 360 degrees5.G.6 Classify triangles by properties of their angles and sides5.G.7 Know that the sum of the interior angles of a triangle is 180 degrees5.G.8 Find missing angle when given two angles of a triangle5.G.9 Indentify pairs of congruent triangles5.G.10 Identify Corresponding parts of congruent triangles5.G11 Identify and draw lines of symmetry of basic geometric shapes

6th Grade Standards

•.6.CN.6 Recognize and provide examples of the presence of mathematics in their daily lives

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