4340 anglegs cards rvmp - really good stuff · square closer together to form a rhombus. trace and...

AngLegsActivity Cards

Written by Laura O’ Connor & Debra Stoll

®

LER 4340/4341/4342

Early Elementary (K-2)

NCTM Geometry Standard

Polygons

Objective: Students will identify and create shapes.

Materials: AngLegs® • Pencil • Paper

Procedure: 1. Use AngLegs to make one of these polygons:

• Square

• Rectangle

• Triangle

• Hexagon

• Pentagon

Helpful tip: Find AngLegs that will fit diagonally to help maintain the shape. (Regular polygons are formed by using the same colored AngLegs.)

2. Trace the shape onto a piece of paper.

3. Give your tracing to a partner torecreate using the AngLegs.

4. Repeat with a new shape.

Activity 1

Copy Cat

Objective: Students will identify, create, and describe characteristics of shapes.

Materials: AngLegs® • Paper • Pencils

Procedure: 1. Use three same-colored AngLegs to create a regular polygon.

• What is it? Name it.

• Draw it.

• Where might you see this shape?

2. Open the polygon and add another same-colored AngLeg.

• What is it? Name it.

• Draw it.


3. Open the polygon one more time and add another same-colored AngLeg.

• What polygon did you make now?

• Draw it.




Polygon Characteristics

Growing Shapes

Activity 2



Edges

Objective: Students will identify the edges of different shapes.


Procedure: 1. Use AngLegs to create growing regular polygons.

2. Create a table on a piece of paper like the one shown below.

3. Complete the table.

• First make a triangle using the same color of AngLegs. Count the edges & record.

• Then add a side using the same color. Count the edges and record.

• Continue the pattern until your shape uses eight AngLegs.

4 What did you notice? (The first one has been done for you)

Activity 3

T-Table Shapes

Triangle 3 Shape Number of Edges

Objective: Students will identify the similarities of certain shapes.


Procedure: 1. Use AngLegs to make one of each: (make sure to find AngLegs that fit diagonally to help maintain the shape)

• Square • Rectangle

• Triangle • Rhombus

• Hexagon • Octagon

2. Go on a hunt to find things with the same shapes. Hang your AngLegs shapes on the items. (i.e. hang the rectangle on a computer keyboard.)



Shape Identification

The Shape Hunter

Activity 4

Objective: Students will identify the lines of symmetry in simple shapes.

Materials: AngLegs® • Pencil • Paper • Scissors

Procedure: 1. Use AngLegs to make one of each:

Shape: Color:

Square Yellow

Rectangle Purple, yellow

Triangle Green

Rhombus Blue

2. Take red AngLegs and place one on each shape to predict where a line of symmetry falls.

3. Trace each shape on a piece of paper. Then, cut it out and fold it where you predicted. Were your predictions correct?



Symmetry

Red Line Symmetry

Activity 5

Objective: Students will draw their own two- dimensional shapes.


Procedure: 1. Student A creates a shape with the AngLegs and hides it behind his back.

2. He then gives Student B two clues about the shape. (It has four sides. They are all the same.)

3. Student B draws what he thinks is the shape.

4. Student A then reveals the answer. A and B discuss the clues given. Were they helpful?

5. Students switch roles.



Two-dimensional Shapes

Read My Mind

Activity 6



Three-dimensional Figures

Objective: Students will identify the faces of three-dimensional figures.

Materials: AngLegs® • Three-dimensional solids

Procedure: 1. Display different cubes, rectangular prisms, and pyramids.

2. Use AngLegs to create the faces of the following solids:

• Cube-squares

• Rectangular prism-rectangles, squares

• Pyramid-triangles and square base.

3. Discuss how many faces made up each solid.

Activity 7

Look At My Face



Squares

Objective: Students will create and count squares within a design.


Procedure: 1. Using AngLegs create the grid below.

2. Count the squares. Keep in mind that squares can be inside other squares.

3. Record how many squares you found. (There are more than ten!)

4. Make a new grid to challenge a friend.

Activity 8

Square Challenge



Measurement

Objective: Students will create their own centimeter ruler.


Procedure: 1. Link ten yellow AngLegs together. Each yellow AngLeg, from peg to peg, is ten centimeters.

2. You now have a one-hundred centimeter ruler.

3. Find five things in the room that measure less than fifty centimeters. Write about what you found.

4. Find five things in the room that measure greater than fifty centimeters. Write about what you found.

Activity 9

AngLegs Rule!



Counting

Objective: Students will create their own irregular polygons using a designated number of pieces.

Materials: AngLegs® • Crayons • Paper

Procedure: 1. Use the AngLegs to make a shape with four pieces. Draw it.

2. Use the AngLegs to make a shape with five pieces. Draw it.

3. Use the AngLegs to make a shape with six pieces. Draw it.

4. Use the AngLegs to make a shape with seven pieces. Draw it.

5. Repeat until you have a figure made from ten AngLegs.

6. What happens to the shape when you add so many?

Helpful Tips: Try using a variety of colors for each shape. Find AngLegs that will fit diagonally to help maintain the shape.

Activity 10

Count My Creation

Objective: Students will create plane figures and identify the number of sides and vertices.


Procedure: 1. Use AngLegs to create the following plane figures:

• Hexagon • Square • Rectangle

• Octagon • Trapezoid • Triangle

• Pentagon • Parallelogram

2. Create a chart on a piece of paper like the one below.

3. Count the sides of each figure and record its number in the chart.

4. Count the number of vertices for each shape and record them.

Late Elementary (3-5)


Measuring Angles

“Plane” Around

Activity 1

Shape Numberof Sides

Numberof Vertices

Square



Measuring Angles

Objective: Students will create plane figures and identify the number of sides, number of vertices, and the sum of all angles.

Materials: AngLegs® • Protractor • Pencil • Paper

Procedure: 1. Create the following four shapes:

• Square

• Equilateral Triangle (all angles = 60˚)

• Acute Triangle (1 angle <90˚)

• Obtuse Triangle (1 angle >90˚)

2. Create a chart on a piece of paper like the one below.

3. Count the number of vertices for each shape and record them.

4. Measure each angle and add the sum of the angles together.

5. Complete the chart

“Plane” Around 2

Activity 2

Shape Numberof Sides

Sum ofall Angles

Numberof Vertices

Square



Area

Objective: Students will measure the area of squares and triangles.

Materials: AngLegs® • Rubberbands • Paper • Pencil • Geoboards (5x5 pin array with pins spread 2cm apart)

Procedure: 1. Snap four purple AngLegs together to form a square.

2. Create a grid on the geoboard with rubber bands.

3. Place the square on top of the grid and count the number of square units inside. This is the area of the figure.

4. Now, record the data.

5. Repeat all of the above with 4 orange AngLegs to create the square and a purple AngLeg to bisect the square. What did you learn? The area of the triangle is 1/2 the area of the square.

Area

Activity 3



Acute/Obtuse Angles

Objective: Students will build and draw acute and obtuse angles.


Procedure: 1. Use AngLegs to create two acute angles. These are angles that measure less than 90 degrees.

2. Trace your angles and measure them with a protractor.

3. Now use AngLegs to create two obtuse angles. These are angles that measure greater than 90 degrees.

4. Trace these angles and measure them with a protractor.

5. Write about where you might see these angles in your classroom.

Angle Alert!

Activity 4

Objective: Students will create 90 degree angles and then record places in their environment where they are found.


Procedure: 1. Use two green AngLegs to create six right angles. These are angles that measure exactly 90 degrees. To keep right angles from moving, snap a blue AngLeg to each green ray. (see example a, b, and c for more combinations to create 90° angles.)

2. Now go on a hunt around the room to find places where a right angle was used. (Use AngLegs to measure.)

3. Wherever you find a right angle leave one of your AngLeg angles there.

4. After your hunt, write about some of the places you found right angles. Think about your bedroom. Where might you find some right angles there?



Right Angles

example a

example b

example c

You Are Right!

Activity 5



Changing the Area

Objective: Students will measure the area of a changing polygon.

Materials: AngLegs® • Pencil • Paper • Centimeter grid paper

Procedure: 1. Use four orange AngLegs to create a square.

2. Trace the square on centimeter grid paper.

3. Color the inside of the square. Count the number of squares inside. This is the area of the shape.

4. Notice that if you multiply the base of the figure to the height of the figure, you get the number of squares inside.

5. Next, push two opposite corners of the square closer together to form a rhombus. Trace and color on grid paper in the same way as before.

6. Find the area. What happens when the base and height are changed? Record your results.

Trading Spaces

Activity 6



Perimeter

Living on the EdgeObjective: Students will measure the perimeter of a pentagon.

Materials: AngLegs® • Pencil • Centimeter grid paper

Procedure: 1. Using five orange AngLegs, create a pentagon.

2. Trace the pentagon on centimeter grid paper.

3. Count the number of squares on the outside edge of the pentagon. This is the perimeter. By adding the measurement of all the sides together, you get the perimeter. What is the perimeter?

4. Now create a nine-sided shape with orange AngLegs.

5. Trace on centimeter grid paper and repeat the activity.

6. What is the perimeter?

Activity 7



Measurement of Triangles

-Objective: Students will create a rule for the measurement of triangles.


Procedure: 1. Create a triangle using two purple and one green AngLeg. What type of triangle did you make? Place the protractor on each vertex. Record the measurement of each angle.

2. Add the sum of all the angles together and record the results.

3. Now make a triangle using two yellow and one red AngLeg. Again, measure each angle and record the results, as well as the total sum of all the angles. Can you make a prediction about triangles?

4. Finally, create a triangle of your own. Repeat measurements. Was your prediction correct? Write a triangle rule.

Triangle’s Rule

Activity 8



Flip, Turn, Slide

Objective: Students will create three triangles and turn them into a rectangle.


Procedure: 1. Use two purple AngLegs for sides and one yellow AngLegs for a base to create a triangle.

2. Make two more triangles. Each one should have two oranges sides and a purple base.

3. By flipping, sliding and turning the triangles, see if you can create a rectangle. Draw your results.

4. Now flip, slide and turn the triangles to create a square. Draw your results.

Be A Square

Activity 9



Flip/Equilateral Triangle/

Measurement

Objective: Students will measure the angles of a hexagon using equilateral triangles and flipping them.


Procedure: 1. Use the blue AngLegs to create a hexagon and an equilateral triangle.

2. Measure the angles of the triangle. Each angle should measure the same. What is the sum of the angles of the triangle?

3. Snap the triangle inside the hexagon as shown. The base of the triangle should touch an edge of the hexagon.

4. Now snap additional blue AngLegs together to form more triangles inside the hexagon. How many equilateral triangles did you form?

Challenge: What is the sum of the angles of a hexagon?

Snappy For Hexagons!

Activity 10

Junior High, 6-8


Objective: Students will construct and identify angles.

Materials: AngLegs® • Protractor

Procedure: 1. Using two AngLegs, form, measure, and record the following angles:

• Right Angle (90˚)

• Acute Angle (<90˚)

• Straight Line (180˚)

• Obtuse Angles (>90˚)

• Reflex Angle (>90˚<180˚)

• Circle

2. How many degrees does a circle have?

Angle

Activity 1

Junior High, 6-8


Objective: Students will identify and construct complementary and supplementary angles.

Materials: AngLegs® • Protractor • Paper • Pencil

Procedure: 1. Create a chart on a piece of paper like the one below.

2. Using three AngLegs, form, measure and record the missing angles in the chart .

Complementary (C) if the sum of two angles = 90˚.

Supplementary (S) if the sum of two angles = 180˚.

More Angles

Activity 2

Problem Angle #1 Angle #2

12345

45º90º

67º

45º

32º

80º

90º180º90º180º90º

CS

Total Angle Name

Objective: Students will construct and identify triangles.



2. Using three AngLegs, form, measure and record the measurement of each angle for each triangle.

Junior High, 6-8


Triangles

Activity 3

Triangle AngLegs

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

Right Triangle

Acute Triangle

Right Triangle

Obtuse Triangle

180º

2 Blue, 1 Red

1 Blue, 1 Red, 1 Green

1 Blue, 2 Green

2 Yellow, 1 Orange

2 Yellow, 1 Red

2 Purple, 1 Blue

A:60º B:60º C:60º

A: B: C:

A: B: C:

A: B: C:

A: B: C:

A: B: C:

A: B: C:

Angle Degrees TotalAngle

Junior High, 6-8


Objective: Students will discover that congruent triangles have exactly the same shape, size, and measurement.

Materials: AngLegs® • Protractor • Paper • Grid Paper

Procedure: 1. Form several congruent triangles.

2. Snap them on top of each other to check congruency.

3. Measure the angles in each.

4. Make a pattern by tracing the triangles on grid paper.

5. Try flipping and sliding to discover rotational symmetry.

6. Try turning the triangles 30˚, 60˚, 90˚, 180˚.

Congruent Triangles

Activity 4

Junior High, 6-8


Objective: a) Students will discover that similar triangles’ corresponding angles are congruent.

b) In similar triangles, the ratio of any two sides in a triangle equal the ratio of the corresponding two sides in the other triangle.

c) Triangles are similar if they have the same shape, but not identical in size.

Materials: AngLegs®

Procedure: Set up equal ratios of triangles and measure their sides and angles.

1. Create different triangles using the AngLegs. Try:

• R + P + B and O + G + Y.

• 2O + 1P and 2G + 1B.

• 2P + 1Y and 2Y + 1R.

2. Compare the sets of triangles by measuring the sides and angles of each.

3. What other combination of AngLegs are similar?

Similar Triangles

Activity 5

Junior High, 6-8


Objective: Students will identify four types of quadrilaterals by their properties.

Materials: AngLegs® • Paper • Pencil


2. Construct four types of quadrilaterals using AngLegs and record “Yes” and “No” observations in the chart. (Hint: Use the Red AngLeg as a bisector for diagonals.)

3. Answer the questions below.

What is the sum of the interior angles of a quadrilateral? ____________

Which quadrilaterals have all sides equal? __________________________

Which quadrilaterals have opposite sides parallel? __________________

Which quadrilaterals have opposite angles congruent? ______________

What other relationships do you observe? __________________________

Quadrilaterals

Activity 6

Quadrilaterals Diagonals arePerpendicular

Diagonals areCongruent

Diagonals Bisecteach other

Parallelogram

Rectangle

RhombusSquare

Junior High, 6-8


Polygons

RegularPolygons

Pentagon5G

Hexagon6P

Octagon8O

Square4G

Triangle3Y

Number oftriangles formed using red AngLegs

Sum ofinterior angles

Interiorangle

Number of sides

Objective: Students will identify, construct, and record the sum of the angles in regular polygons.


FORMULA: (N-2) 180 = individual interior angles N (N-2) 180 = sum of interior angles


2. Construct the polygons using the AngLegs

3. Fill out the chart using the formula above.

4. Check your chart by measuring AngLegs with the protractor.

Activity 7

The number of triangles formed with a regular polygon is always

______________ less than the number of sides

Junior High, 6-8


Objective: Students will be able to find the perimeter of regular and irregular polygons.

• Perimeter: The distance around a polygon is called the perimeter (P).

• Add the lengths of all the sides to find “P.”

Materials: AngLegs® • Paper • Pencil

Procedure: 1. Answer the following questions and record your results on a piece of paper.

2. To find the perimeter, take the yellow or red AngLegs and measure the cover of your Math book.

P = _______ cm

(Y = 10 cm; R = 5 cm)

3. Measure your desktop. P = _______ cm

4. Measure a triangular shaped object. P = _______ cm

5. Now, write a perimeter formula for: • Square ______________ • Rectangle _________ __ • Triangle _____________

Perimeter

Activity 8

The number of triangles formed with a regular polygon is always

______________ less than the number of sides

Junior High, 6-8


Objective: Students will be able to find the area of polygons.

• Area: A closed polygon is measured by how many squares of a given size are needed to completely cover the surface.

• Area “A” is measured in square units.

Materials: AngLegs® • Two Centimeter Geoboard • Centimeter Graph Paper • Centimeter Cubes

FORMULA: Rectangle A = LW Square A = S2 Parallelogram A = bh Triangle A = 1/2 (bh)

Procedure: 1. Find the area by one of the following:

• Make the above shapes with AngLegs and fill with centimeter cubes. (Triangles will have 1/2 spaces left, make sure you tally as two 1/2 spaces = 1 for area.

• Take a Geoboard and fill each grid with a rubber band. Place AngLegs on top of grids. Count interior squares.

• Take grid paper and trace AngLegs on top of grid. Color the area.

2. Record your findings.

Area

Activity 9

Junior High, 6-8

NCTM Geometry Standard ANSWER KEYACTIVITY 2: Problem Angle #1 Angle #2 Total Angle Name

1 45˚ 45˚ 90˚ C 2 90˚ 90˚ 180˚ S 3 58˚ 32˚ 90˚ C 4 67˚ 113˚ 180˚ S 5 10˚ 80˚ 90˚ C

ACTIVITY 3:Triangle AngLegs Angles Degrees Total AngleEquilateralTriangle 3Blue A:60˚ B:60˚C:60˚ 180˚IsoscelesTriangle 2Blue,1Red A:55˚ B:55˚C:70˚ 180˚ScaleneTriangle 1Blue,1Red,1Green A:82˚ B:38˚C:60˚ 180˚RightTriangle 1Blue,2Green A:40˚ B:45˚C:45˚ 180˚RightTriangle 1Red,1Purple,1Blue A:90˚ B:60˚C:30˚ 180˚AcuteTriangle 2Green,1Orange A:73˚B:73˚C:34˚ 180˚ObtuseTriangle 2Purple,1Blue A:31˚ B:31˚ C:118˚ 180˚

ACTIVITY 6:Quadrilaterals Diagonals are Diagonals are Diagonals Bisect Perpendicular Congruent each otherSquare YES YES YESRhombus YES YES YESRectangle NO YES YESParallelogram NO NO YES

What is the sum of the interior angles of a quadrilateral? 360˚Which quadrilaterals have all sides equal? Rhombus, SquareWhich quadrilaterals have opposite sides parallel? Rhombus, Square Rectangle, ParallelogramWhich quadrilaterals have opposite angles congruent? All

ACTIVITY 7:Regular Triangle Square Pentagon Hexagon OctagonPolygons 3Y 4G 5G 6P 8ONumberofsides 3 4 5 6 8Interiorangle 60˚ 90˚ 108˚ 120˚ 135˚Sumofinteriorangles 180˚ 360˚ 540˚ 720˚ 1,080˚Numberoftrianglesformed 1 2 3 4 6using AngLegs®

* The number of triangles formed with a regular polygon is always 2 less than the number of sides.

© Learning Resources, Inc., Vernon Hills, IL, US Learning Resources Ltd., King’s Lynn, Norfolk, UK

All rights reserved. These activity cards are copyrighted. No part of these cards may be reproduced, stored in a retrieval system or transmitted, in any form or by any means electronic, mechanical, photocopying, recording, or otherwise, without written permission.

4340 anglegs cards rvmp - really good stuff · square closer together to form a rhombus. trace and...

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