Grade 6 Topic: 3D shapes Identify 3D objects and describe ... · 2. Complete the table Features of...

Grade 6 Topic: 3D shapes

Week ending 17-07-20202 Marks

Exercise 1

Identify 3D objects and describe their surfaces.

Name the shape of each of these objects.

a. b. c.

d. e.

f. g. h.

2. Flat surfaces and curved surfaces.

Draw each of the above 3D objects under the correct column.

Only curved surface Only flat surfaces Flat faces and curved

surfaces



Exercise 2

Three dimensional shapes have three dimensions: length, width and

height.

A face is a flat surface of a 3 dimensional shape.

Copy and complete the table.

Names Shapes Number of

faces

Number of

edges

2. Answer these questions about the shapes in question 1.

a. Which shapes roll easily?

_____________________________________________________

b. Which shapes can be stacked one on top of the other?

_____________________________________________________

c. Which shapes cannot be stacked on top of the other?

_____________________________________________________

d. Which shapes are useful for storing items inside?

_____________________________________________________



Exercise 3

Pyramids are named by the shape of the base of the pyramid.

1. Name the pyramids and draw faces of each of the following

pyramids. Write the name and the matching letter.

2. 3-D objects and nets

Write the name of each 3-D object with the letter of the matching net.

2. Write the name of the object and its description.

I have 1 flat circular face and 1 curved circular surface that forms a

Vertex (point)___________________________________________

I have 2 flat circular faces and 1 curved surface.

________________________________________________________

I have 1 flat square face and 4 triangular faces.

________________________________________________________

I have 4 flat triangular faces. __________________________________

I have 5 flat faces. 2 of them are triangular. 3 of them are rectangular.

_________________________________________________________

I have 6 flat square faces 12 edges and 8 corners.



Exercise 4

Name and classify the following objects:

A B C

D E F G

H I

2. Complete the table

Features of objects Letter of object Names of objects

Flat faces only

Curved and flat faces

Curved faces only

3. Identify and name the solids described below:

a. It has a round base and a curved surface that comes to a point.

___________________________________________________

b. It has a pentagonal base and five of its faces are triangles.

___________________________________________________

c. It has seven faces. ___________________________________



Exercise 5

Describe, sort and compare 3D objects.

Vertex: is the point at which three or more faces of a 3D object meet.

Face: a flat surface of a 3D object.

Edge: the line where two faces meet.

1. Use the model of a cube to answer the following questions:

a. How many faces does a cube have? ______________________

b. How many edges does a cube have? ______________________

c. How many vertices does the cube have? ______________________

http://www.google.co.za/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www.google.co.za/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&ved=&url=http://www.11plusforparents.co.uk/Maths/shape8.html&ei=n21iVbWkKIHSU4CvgKAF&bvm=bv.93990622,d.d24&psig=AFQjCNFXkWhZpxOZMBVM71MHwC-6Pkdt7A&ust=1432600351897667&ei=BW9iVZaHN4PfU-WCgWg&bvm=bv.93990622,d.d24&psig=AFQjCNFXkWhZpxOZMBVM71MHwC-6Pkdt7A&ust=1432600351897667

Name the above shape. Label edges, vertices and face.

2. Answer the following questions:

a. How many faces does a triangular prism have? _____________

b. How many edges does a triangular prism have? _____________

c. How many vertices does the triangular prism have? _____________

3. Here are the names of some solids:

Sphere, cone cylinder, rectangular prism, triangular prism, pentagonal

prism, triangular- based pyramid, square based pyramid. From the list,

which objects have:

a. no edges: ______________________________________________

b. 1 edge: ______________________________________________

c. 2 edges: ______________________________________________

d. 8 edges: ______________________________________________

e. 9 edges: ______________________________________________

f. 12 edges: _____________________________________________


Week- ending 17-07-20202 Marks

Exercise 6

3D object Number

of

edges

Number

of

vertices

Number

of

square

faces

Number of

rectangular

faces

Number

of

triangular

faces

Number of

circular

faces

Triangular

Based

pyramid

Cube

Rectangular

prism

Cylinder

Triangular

prism

Square based

pyramid

2. Which of the 3D objects above have curved and flat surfaces?

_________________________________________________________

_________________________________________________________

_________________________________________________________



Exercise 7

2. Look at the picture of the fish tank above.

a. Identify the 3D object. _____________________________________

b. What is the shape of the base? ______________________________

c. Name the base angles. ____________________________________

2. Look at the picture of the birthday cake above.

a. Identify the 3D object. ______________________________________

b. What is the shape of the base? ______________________________

3. Draw a net of the fish tank and a net of the birthday cake.



Exercise 7

Prisms and pyramids

Prisms have two identical faces. All the rest of the faces are rectangles

or squares.

Hexagonal prism Triangular pyramid

Pyramids have a flat base (such as a triangle, square, rectangle or

pentagon. All the rest are triangles.

1. Draw six prisms and name them.

2. Draw five pyramids and name them.



1. Match the descriptions with the objects shown below.

(a) The object has six faces. All faces are the same shape and size.

_______________________________________________________

(b) The object has five faces. Two opposite faces are triangles that

are the same shape and size.

_______________________________________________________

(c) The object has seven faces. Five of the faces are rectangles that

are the same shape and size.

_______________________________________________________

Examples of prisms:

The prism on the left is a rectangular prism.

Examples of 3-D objects

that are not prisms:

2. (a) Which two objects in question 1 are not prisms?

__________________________________________________________________________________

(b) Which objects in question 1 are not rectangular prisms?

_________________________________________________________

A

B

C

D

E F



Exercise 8

Measuring angles. 1. Write the name of each 3-D shape, shape of the face and describe

the angles.

Grade 6 Topic: Geometric patterns


Exercise 9

Geometric Patterns A geometric pattern is a sequence of objects or drawings. Look for, and think of patterns in your everyday life. Activity 1 Patterns, tables and rules. • Copy and complete the pattern. • Copy and complete the table. • Copy and complete the rule.

Pattern No. 1 2 3 4 5 6 7 8 9 10

Number of squares 2 4

Describe the pattern: ___________________________________. Rule: Add _____ squares to each pattern.

Pattern No. 1 2 3 4 5 6 7 8 9 10

Number of squares 5

Describe the pattern: ______________________________________ Rule: ___________________________________________________

Pattern No.

Number of squares


Pattern No. 1 2 3 4 5 6 7 8 9 10

Number of squares




Exercise 10

Activity 2 Building geometric shapes. Continue the pattern by building on.

Pattern No. 1 2 3 4 5 6 7 8 9 10

Number of squares 6


??? How many matches would you need to build pattern 20? Activity 3. Patterns and flow diagrams. Flow diagrams are a kind of number pattern.

32 16

16 8

8

Input

? Output



Exercise 11

Activity 2 Extending geometric patterns.

1. Copy each pattern and draw the next 5 shapes

a. ____ ____ ____ ____

b. ____ ____ ____ ____

c. ____ ____ ____ ____

d. ____ ____ ____ ____

e. ____ ____ ____ ____

f. ____ ____ ____ ____



Exercise 12

Writing calculation plans

1. Thabo uses beads to make a pattern of Xs like this:

X1 X2 X3 X4

If Thabo continues the pattern, how many beads will there be in X5,

how many in X6, how many in X50 and how many in X60?

2. Mary uses clever counting to answer question 1! Try to follow her

reasoning. Explain her plan to a classmate.

X1 = 4 × 1 +

1

Then here:

X2 = 4 × 2 + 1

Then here:

Four threes

plus 1

X3 = 4 × 3 + 1

Mary starts

here:

I see four,

four, four,

four greens

plus one

yellow X4 =

4 × 4 + 1

Xnumber = 4 × number + 1

It means “multiply the number by 4, then add 1”.

So X5 = 4 × 5 + 1

So X6 = 4 × 6 + 1

So X50 = 4 × 50 + 1

Mary writes a calculation plan

(rule):

Xnumber = 4 × number + 1 Now

she can calculate

Xnumber for any number.

➔ ➔

➔ ➔ ➔ ➔

X 2 X 1 X 3 X 4

So X60 = 4 × 60 + 1

3. Suzi uses beads to make this growing V-pattern:

V1 V2 V3 V4 V5

(a) Describe V6, V60 and V87 in words.

(b) Write your plan as a flow diagram and then calculate the number

of beads in V6, V60 and V87.

(c) Write down your calculation plan, and then use it to calculate

the total number of beads in V6, V60 and V87.

(d) What is the biggest V-number that can be made with 100 green

beads and one yellow bead? How many beads are left over?

4. Sam uses beads to make these alphabet patterns.

Answer the same questions as in question 3 for these T, C and L

patterns.

T1 T2 T3 T4 T5

C1 C2 C3 C4 C5

L1 L2 L3 L4 L5

Grade 6 Topic: Lines of symmetry


Exercise 13

1 Lines of symmetry

1. What is the difference between the two groups of figures above in the

way the lines relate to the figures?

2. Which statement below explains what it means to say a figure has

line symmetry?

Statement A:

A figure has line symmetry if you can fold it into two parts that

are exactly the same size and shape. or

Statement B:

A figure has line symmetry if you can fold it into two parts that are

exactly the same size and shape and the two parts fold exactly onto

each other.

The lines across these figures are lines of symmetry for the figures:

The lines across these figures are not lines of symmetry:



Exercise 14

Many lines of symmetry

1. It is possible to find four different lines of symmetry for a square.

(a) Draw four identical squares. Draw a different line of symmetry for

each square. Here is one line of symmetry.

(b) Explain how you know that you are right.

2. A rectangle that is not a square has exactly two lines of symmetry.

(a) Draw two identical rectangles with a different line of symmetry in

each one. Here is one of the lines of symmetry.

(b) Explain how you know that you are right.

3. Explain clearly why these lines are not lines of symmetry for the

quadrilaterals.

162 5: SYMMeTrY

4. How many lines of symmetry do these polygons have? Draw the

polygons and show the lines of symmetry.

163

5. Say how many sides and how many lines of symmetry each of the regular

polygons below have.

(a)

(b)

(c) (d)

(e) (f)

(g)

6. How many lines of symmetry does a circle have?

Explain why you say so.



Exercise 13

Activity 3

Lines of symmetry.

Remember, a 2-D shape can be divided into 2 halves that are a mirror image of each other. We call the line that divides them a line of symmetry. Some shapes have more than one line of symmetry.

1. Write the number of lines of symmetry in each flag.

Properties of 3-D shapes.

Match the letter of each 3-D object with its correct name.

Pentagonal prism cone hexagonal prism square

based pyramid

cylinder sphere rectangular prism

triangular prism cube

Grade 6 Topic: 3D shapes Identify 3D objects and describe ... · 2. Complete the table Features of...

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