cadaVR anatomy by Mozaik Education

PLANE FIGURES AND SOLIDS

{{exercise_number}}. Examine the title of the lesson. What shapes are its letters made up of?

Group the letters based on the shape of their lines.

curved:

O

straight:
E, M, T, Y

straight and curved:
G, R

{{exercise_number}}. Use a red pencil to draw over the curved lines, a blue pencil for the straight lines, and a green pencil for the broken lines.

{{exercise_number}}. Cross out the elements that do not belong in the set diagrams.

curved line

closed line

closed broken line

A polygon is a two-dimensional shape bound by three or more straight lines.

{{exercise_number}}. Add lines to the drawings to turn them into polygons.

{{exercise_number}}. Connect the dots with different types of lines.

closed broken line

closed curved line

open broken line

{{exercise_number}}. Draw the shapes using one continuous motion, without lifting your pencil from the paper.

{{exercise_number}}.

How many of the following shapes can you see in the picture above?

square: 4 triangle: 8 circle: 8

Cut out different shapes from coloured paper and use them to reproduce the picture.

{{exercise_number}}. Draw rectangles in a way that the dots are located...

inside the rectangle.

on the vertices of the rectangle;

on the sides of the rectangle;

{{exercise_number}}. a) Fill in the table.

number of vertices

number of sides

letters from b)

name of the polygon

7

3

4

5

6

7

heptagon

triangle

quadrilateral

pentagon

hexagon

J

A

D

K

C

F

H

E

G

I

L

B

Write the letter of each shape in the table in alphabetical order.

G)

A)

B)

C)

D)

E)

F)

L)

K)

J)

I)

H)

{{exercise_number}}. The mirror image of two of the four pictures is incorrect. Use a mirror to find out which two.

{{exercise_number}}. Draw the mirror image of the shapes on the grid.

line of symmetry

You get the congruent shape when you draw its mirror image. Two planes are congruent if their shape and sizes are identical.

Solution

{{exercise_number}}.

Copy the drawings onto paper and cut them out. Fold them in half. Then, draw the axis of symmetry along the fold line.

These shapes are symmetrical.

Copy the drawings below onto paper and cut them out. Fold the shapes in different ways to find several axes of symmetry. Then, draw some of these axes on the shapes.

{{exercise_number}}. Use the same colour to colour in the white shapes as was used for the folded paper they were cut out from.

Make similar shapes of your own design.

Solution

{{exercise_number}}. When you enlarge or reduce drawings, you end up with similar drawings that have the same shape but a different size.

When you enlarge or reduce drawings, you end up with similar drawings that have the same shape but a different size.

{{exercise_number}}. Copy the polygons onto the two grids.

These polygons are not the same shape, therefore they are not similar.

{{exercise_number}}.

Starting from x on each grid, draw lines in the direction of the arrows. Colour in the similar shapes.

{{exercise_number}}. Colour in the similar shapes with similar colours.

Solution

{{exercise_number}}. Colour in the similar shapes with similar colours.

steps

10

6

8

Draw a square which takes 12 steps.
Open your exercise book. Count the steps it takes to enclose 12 squares. Try many variations

{{exercise_number}}. Measure the length of a drinking straw. The length of the straw is 00 cm. Fold a triangle and a rectangle from the straw, each with sides of equal length. Measure the length of the sides of the two shapes to the nearest centimetre. Add up the lengths and compare the sum to the length of the straw.

rectangle

a + b + c =

triangle

a =

b =

c =

b =

a =

d =

cm

a + b + c + d =

00

Measure the side lengths of each polygon, then calculate their perimeters.

1

g

a

b

c

d

f

e

g =

a =

b =

c =

d =

e =

f =

3

cm

2

3

1

2

3

Match the lengths and the line segments. Drag and drop.

g

a

b

c

d

e

f

The total length of the sides of a polygon is called its perimeter. Its symbol is P.

P = a + b + c = 8 cm

P = a + b + c + d = 8 cm

{{exercise_number}}. The segmented lines represents different polygons. Colour in each polygon with the colour of the matching line.

{{exercise_number}}. Measure the side lengths of the polygons. Calculate their perimeters.

P

c)

b =

c =

P = a + b + c

c =

a)

b)

d)

a =

cm

a =

b =

c =

P =

e =

d =

P =

b =

a =

b =

c =

d =

a

b

c

a

b

1

c

d

e

b

d

a

c

1

P =

P

=

2+5+6+3

=

3+3+3

9

12

1+2+2+2+2

5+4+3

9

16

2

5

4

3

12

3

9

2

1

16

3

6

5

2

{{exercise_number}}.

Measure the a and b sides of the rectangle. How long are sides c and d? Can you tell without measuring them with a ruler? Why or why not?
Calculate the perimeter of the rectangle.

P = a + b + c + d

cm

c

b

d

a =

b =

d =

c =

P =

a

cm

10

3

2

{{exercise_number}}. The perimeter of a rectangle is 32 cm. How long are its sides? Find several ways to solve the problem. Is there a square among the solutions? Outline the column with the correct solution.

b

cm

a + b

b

a

b

a

16

2

3

4

5

6

7

8

9

10

11

12

13

14

16

{{exercise_number}}.

The perimeter of a rectangle is 24 cm, and the length of its longer side is 7 cm. How long is the shorter side?
The perimeter of a 2 cm × 10 cm rectangle is the same as that of a square. How long is one side of the square? Make a drawing of the shapes.

{{exercise_number}}. What is the perimeter of each of the following sports pitches?

handball

perimeter

length

m

sports pitch

soccer

volleyball

basketball

width

50 m

9 m

18 m

40 m

20 m

24 m

18 m

110 m

m

120

320

54

84

{{exercise_number}}.

Tim makes a square with 6 cm sides using wooden skewers. Steve builds a rectangle with sides measuring 5 and 7 cm. How many cm of skewer does each of them need?
Adam and Benny are playing with matchsticks. There are 60 of them on the table. Adam makes a triangle with six matchsticks on each side. Benny uses the remaining matchsticks to make a rectangle, one side of which consists of eight matchsticks. How many matchsticks does the other side of the rectangle have?

{{exercise_number}}. How many squares does each shape cover? Write the corresponding number below each shape to learn its area.

12

8

15

12

6

The area of the first rectangle is 12 squares.

{{exercise_number}}. How many of each shape do you need to fill in the entire area outlined by the dots?

Write the numbers in the squares below.

pcs

11

22

{{exercise_number}}. Draw various shapes with an area of 16 squares. Colour them in different colours.

{{exercise_number}}. Draw rectangles with a perimeter of 24 units. How many squares do the rectangles contain?

{{exercise_number}}. Use plasticine and wooden skewers to build the following three-dimensional solids. Fill in the table.

The polygons that make up the solids are called faces.
These faces are joined together along their edges, and the edges meet at the vertices.

number of faces

vertex

edge

face

number of vertices

number of edges

5

8

4

5

6

9

8

6

12

6

4

5

{{exercise_number}}. Connect each solid to its net. Write the number of polygons that make them up on the lines below them.

triangle

square

rectangle

triangle

,

{{exercise_number}}. Collect boxes of various sizes. Cover the congruent faces of each box with paper of the same colour.

{{exercise_number}}. Make the shapes from plasticine. Then, match each solid to its top view and side view. Write the solid's number (1–4) in the correct boxes.

4

1

2

3

1

2

3

4

{{exercise_number}}. Build the cube towers from building blocks. Then, build their mirror images as well. Use a mirror to help you. Look for more than one solution.

Mathematics 3.

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