AngLegs Activity Cards Written by Laura O Connor & Debra Stoll

LER 4340/4341/4342 AngLegs Activity Cards Written by Laura O Connor & Debra Stoll

Early Elementary (K-2) Polygons Activity 1 Copy Cat Students will identify and create shapes. AngLegs Pencil Paper 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 to recreate using the AngLegs. 4. Repeat with a new shape.

Early Elementary (K-2) Polygon Characteristics Activity 2 Growing Shapes Students will identify, create, and describe characteristics of shapes. AngLegs Paper Pencils 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. Where might you see this shape? 3. Open the polygon one more time and add another same-colored AngLeg. What polygon did you make now? Draw it. Where might you see this shape?

Early Elementary (K-2) Edges Activity 3 T-Table Shapes Students will identify the edges of different shapes. AngLegs Paper Pencils 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) Shape Number of Edges Triangle 3

Early Elementary (K-2) Shape Identification Activity 4 The Shape Hunter Students will identify the similarities of certain shapes. AngLegs Paper Pencils 1. Use AngLegs to make one of each: (make sure to find AngLegs that fit diagonally to help maintain the shape) Square Triangle Hexagon Rectangle Rhombus 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.)

Early Elementary (K-2) Symmetry Activity 5 Red Line Symmetry Students will identify the lines of symmetry in simple shapes. AngLegs Pencil Paper Scissors 1. Use AngLegs to make one of each: Shape: Square Rectangle Triangle Rhombus Color: Yellow Purple, yellow Green 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?

Early Elementary (K-2) Two-dimensional Shapes Activity 6 Read My Mind Students will draw their own twodimensional shapes. AngLegs Pencil Paper 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.

Early Elementary (K-2) Three-dimensional Figures Activity 7 Look At My Face Students will identify the faces of three-dimensional figures. AngLegs Three-dimensional solids 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.

Early Elementary (K-2) Squares Activity 8 Square Challenge Students will create and count squares within a design. AngLegs Pencil Paper 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.

Early Elementary (K-2) Measurement Activity 9 AngLegs Rule! Students will create their own centimeter ruler. AngLegs Pencil Paper 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.

Early Elementary (K-2) Counting Activity 10 Count My Creation Students will create their own irregular polygons using a designated number of pieces. AngLegs Crayons Paper 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.

Late Elementary (3-5) Measuring Angles Activity 1 Plane Around Students will create plane figures and identify the number of sides and vertices. AngLegs Pencil Paper 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. Shape Square Number of Sides Number of Vertices

Late Elementary (3-5) Measuring Angles Activity 2 Plane Around 2 Shape Square Students will create plane figures and identify the number of sides, number of vertices, and the sum of all angles. AngLegs Protractor Pencil Paper 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 Number of Sides Number of Vertices Sum of all Angles

Late Elementary (3-5) Area Area Activity 3 Students will measure the area of squares and triangles. AngLegs Rubberbands Paper Pencil Geoboards (5x5 pin array with pins spread 2cm apart) 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.

Late Elementary (3-5) Acute/Obtuse Angles Angle Alert! Activity 4 Students will build and draw acute and obtuse angles. AngLegs Protractor Pencil Paper 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.

Late Elementary (3-5) Right Angles Activity 5 You Are Right! example a example b Students will create 90 degree angles and then record places in their environment where they are found. AngLegs Protractor Pencil Paper 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? example c

Late Elementary (3-5) Changing the Area Activity 6 Trading Spaces Students will measure the area of a changing polygon. AngLegs Pencil Paper Centimeter grid paper 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.

Late Elementary (3-5) Perimeter Activity 7 Living on the Edge Students will measure the perimeter of a pentagon. AngLegs Pencil Centimeter grid paper 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?

Late Elementary (3-5) Measurement of Triangles Activity 8 Triangle s Rule - Students will create a rule for the measurement of triangles. AngLegs Protractor Pencil Paper 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.

Late Elementary (3-5) Flip, Turn, Slide Be A Square Activity 9 Students will create three triangles and turn them into a rectangle. AngLegs Pencil Paper 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.

Late Elementary (3-5) Flip/Equilateral Triangle/ Measurement Activity 10 Snappy For Hexagons! Students will measure the angles of a hexagon using equilateral triangles and flipping them. Challenge: AngLegs Protractor Pencil Paper 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? What is the sum of the angles of a hexagon?

Junior High, 6-8 Activity 1 Angle Students will construct and identify angles. AngLegs Protractor 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?

Junior High, 6-8 Activity 2 More Angles Students will identify and construct complementary and supplementary angles. AngLegs Protractor Paper Pencil 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. Problem Angle #1 Angle #2 1 2 3 4 5 45º 90º 67º 45º 32º 80º Total Angle Name 90º 180º 90º 180º 90º C S

Junior High, 6-8 Activity 3 Triangles Students will construct and identify triangles. AngLegs Protractor Paper Pencil 1. Create a chart on a piece of paper like the one below. 2. Using three AngLegs, form, measure and record the measurement of each angle for each triangle. Triangle AngLegs Angle Degrees Total Angle Equilateral Triangle A:60º B:60º C:60º 180º Isosceles Triangle 2 Blue, 1 Red A: B: C: Scalene Triangle 1 Blue, 1 Red, 1 Green A: B: C: Right Triangle 1 Blue, 2 Green A: B: C: Right Triangle 2 Yellow, 1 Red A: B: C: Acute Triangle 2 Yellow, 1 Orange A: B: C: Obtuse Triangle 2 Purple, 1 Blue A: B: C:

Junior High, 6-8 Activity 4 Congruent Triangles Students will discover that congruent triangles have exactly the same shape, size, and measurement. AngLegs Protractor Paper Grid Paper 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.

Junior High, 6-8 Activity 5 Similar Triangles 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. AngLegs 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?

Junior High, 6-8 Activity 6 Quadrilaterals Students will identify four types of quadrilaterals by their properties. AngLegs Paper Pencil Quadrilaterals Square Rhombus Rectangle Parallelogram 1. Create a chart on a piece of paper like the one below. 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. Diagonals are Perpendicular Diagonals are Congruent Diagonals Bisect each other 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?

Junior High, 6-8 Activity 7 FORMULA: Polygons Students will identify, construct, and record the sum of the angles in regular polygons. AngLegs Protractor Paper Pencil (N-2) 180 = individual interior angles N (N-2) 180 = sum of interior angles Regular Polygons Number of sides Interior angle Sum of interior angles Number of triangles formed using red AngLegs 1. Create a chart on a piece of paper like the one below. 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. Triangle 3Y Square 4G Pentagon 5G Hexagon 6P The number of triangles formed with a regular polygon is always less than the number of sides Octagon 8O

Junior High, 6-8 Activity 8 Perimeter 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. AngLegs Paper Pencil 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

Junior High, 6-8 Activity 9 Area 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. AngLegs Two Centimeter Geoboard Centimeter Graph Paper Centimeter Cubes FORMULA: Rectangle A = LW Square A = S2 Parallelogram A = bh Triangle A = 1/2 (bh) 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.

Junior High, 6-8 ANSWER KEY ACTIVITY 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 Angle Equilateral Triangle 3 Blue A: 60 B: 60 C: 60 180 Isosceles Triangle 2 Blue, 1 Red A: 55 B: 55 C: 70 180 Scalene Triangle 1 Blue, 1 Red, 1 Green A: 82 B: 38 C: 60 180 Right Triangle 1 Blue, 2 Green A: 40 B: 45 C: 45 180 Right Triangle 1 Red, 1 Purple, 1 Blue A: 90 B: 60 C: 30 180 Acute Triangle 2 Green, 1 Orange A: 73 B: 73 C: 34 180 Obtuse Triangle 2 Purple, 1 Blue A: 31 B: 31 C: 118 180 ACTIVITY 6: Quadrilaterals Diagonals are Diagonals are Diagonals Bisect Perpendicular Congruent each other Square YES YES YES Rhombus YES YES YES Rectangle NO YES YES Parallelogram NO NO YES What is the sum of the interior angles of a quadrilateral? 360 Which quadrilaterals have all sides equal? Rhombus, Square Which quadrilaterals have opposite sides parallel? Rhombus, Square Rectangle, Parallelogram Which quadrilaterals have opposite angles congruent? All ACTIVITY 7: Regular Triangle Square Pentagon Hexagon Octagon Polygons 3Y 4G 5G 6P 8O Number of sides 3 4 5 6 8 Interior angle 60 90 108 120 135 Sum of interior angles 180 360 540 720 1,080 Number of triangles formed 1 2 3 4 6 using AngLegs * The number of triangles formed with a regular polygon is always 2 less than the number of sides.

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