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  • GETSenPhaseMaths display tagshide tags

    This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

    Review Status: In Review

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Transformations

Module by: Siyavula Uploaders. E-mail the author

MATHEMATICS

More Geometry, Data Handling and Probability

EDUCATOR SECTION

Memorandum

8.

(a) 14

(b) 37

(c) 47

(d) 97

(e) 0,47

(f) 0,47

(g) 10 000

(h) 144

(i) 63

(j) 630

(k) 6 300

(l) 630 000

(m) 3

(n) 30

(o) 30

LEANER SECTION

Content

ACTIVITY: Transformations [LO 3.5, LO 1.8]

6. TRANSFORMATIONS

6.1 Refer back to your tessellations at question 1(c). You could have completed the tessellations with a single triangle but then the triangle would have had to slide, turn or turn around.

6.2 NOTE

To move from the black tot the white triangle, we use the following transformations

Figure 1
Figure 1 (graphics1.png)

Slide translation

Figure 2
Figure 2 (graphics2.png)

Flip reflection

Figure 3
Figure 3 (graphics3.png)

Rotation turn

6.3 Work together with a friend. Trace one of the triangles at question 1(c). Cut it out and match it up with your tessellations. See where you can slide, turn or turn the triangle around to complete the whole tessellation.

  • Discuss your findings with the rest of the class.

6.4 Draw any tessellation where you can make use of any of the three transformations. Explain your tessellation to the rest of the class.

7. Time for self-assessment

Table 1
  • Tick the applicable block:
Yes No
I was able to help build a 3-dimensional mobile that balanced.    
My face in 1(b) is symmetrical.    
I was able to complete correctly the tessellations at 1(c).    
I was able to determine correctly the breadth of the class in “el”.    
I can enlarge correctly sketches according to scale.    
I can reduce correctly sketches according to scale.    
I can explain the following concepts:    
  • rotation;
   
  • transformation.
   
I can determine how many times a given figure will rotate in a full revolution.    
I can draw tessellations by means of transformations.    

8. Complete the following mental test as quickly and accurately as possible:

a) 8 + 6 = _______________________

b) 28 + 9 = ______________________

c) 28 + 19 = _____________________

d) 58 + 39 = _____________________

e) 0,97 – 0,5 = ___________________

f) 1,97 – 1,5 = ___________________

g) 105 ÷ 10 = ____________________

h) 32 x 42= _______________________

i) 7 x 9 = ________________________

j) 70 x 9 = _______________________

k) 70 x 90 = ______________________

l) 700 x 900 = ____________________

m) 18 ÷ 6 = _______________________

n) 1 800 ÷ 60 = ___________________

o) 18 000 ÷ 600 = _________________

Assessment

Learning Outcome 3:The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.5:We know this when the learner uses transformations (rotations, reflections and translations) and symmetry to investigate (alone and/or as a member of a group or team) properties of geometric figures;

Learning Outcome 1:The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.8:We know this when the learner de performs mental calculations involving squares of natural numbers to at least 10² and cubes of natural numbers to at least 5³.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

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