, MIP2601/102/0/2025
MIP2601 Assignment 2 2025 (Unique Number: 818131) -
Due 11 June 2025 ;100 % TRUSTED workings, Expert
MULTIPLE CHOICE,ASSURED EXCELLENCE
Question 1: Geometry Thinking and geometric Concepts.
The concept of geometry is a strand of the curriculum in nearly
every state, district, and country. Consider the Curriculum
Assessment Policy Statement (CAPS) for Intermediate Phase
Mathematics (South Africa) to answer the questions that follow.
1.1. A rich understanding of geometry has important
implications for other topics in mathematics. Identify and
explain the four topics in the Intermediate phase
mathematics
with the direct link to geometry (12)
1.2 Spatial sense is regarded as an intuition about the shapes
and the relationships among the shapes. Develop the
three learning activities for a grade 4 class on spatial
development. What do you think is the cause of some
people to have better spatial
sense than the others? (8)
1.2 The prominent feature of the Van Hiele framework is a five
hierarchy on understanding spatial ideas. Consider the
diagram below and answer the questions that follow:
Diagram 1
2
, MIP2601/102/0/2025
1.3.1 Explain how as a mathematics teacher will move learners
through the first three levels of the Van Hiele framework
(9)
2.3.2What are the implications of the activity in 1.21 above for
geometry instruction? (21)
Subtotal = 50
1.1 Four Topics in the Intermediate Phase
Mathematics with a Direct Link to Geometry (12)
According to the CAPS document, the following four
topics in Intermediate Phase mathematics have a direct
link to geometry:
1. 2-D Shapes and 3-D Objects
Learners identify, describe, sort, and compare
different 2-D shapes (e.g., triangles, quadrilaterals)
and 3-D objects (e.g., cubes, spheres). They
develop spatial reasoning and visualization skills
necessary for understanding properties and
relationships among shapes.
2. Symmetry
Learners identify lines of symmetry in 2-D shapes
and patterns. Symmetry links to geometry through
visual balance and transformational geometry,
fostering deeper understanding of shape structure
and spatial awareness.
3. Position and Movement (Transformations)
Learners describe and perform translations (slides),
reflections (flips), and rotations (turns) on shapes.
This enhances understanding of congruency,
3
, MIP2601/102/0/2025
orientation, and motion in space, essential for
advanced geometry.
4. Measurement (Area and Perimeter)
Understanding the measurement of shapes
supports geometric thinking. Learners measure
sides, calculate perimeters, and estimate or
calculate the area of shapes, thereby reinforcing
the properties and structures of geometric figures.
1.2 Three Learning Activities for Spatial
Development & Cause of Better Spatial Sense in
Some Learners (8)
Three Learning Activities for Grade 4:
1. Tangram Puzzle Building
o Learners use tangram pieces to form various
shapes (e.g., animals, houses).
Promotes visual-spatial reasoning,
o
decomposition, and re-composition of shapes.
2. Shape Scavenger Hunt
o Learners find real-world objects that match
specific 2-D or 3-D shapes (e.g., sphere –
soccer ball).
o Develops recognition of shapes in the
environment and builds shape vocabulary.
3. Mirror Symmetry Drawing
4
MIP2601 Assignment 2 2025 (Unique Number: 818131) -
Due 11 June 2025 ;100 % TRUSTED workings, Expert
MULTIPLE CHOICE,ASSURED EXCELLENCE
Question 1: Geometry Thinking and geometric Concepts.
The concept of geometry is a strand of the curriculum in nearly
every state, district, and country. Consider the Curriculum
Assessment Policy Statement (CAPS) for Intermediate Phase
Mathematics (South Africa) to answer the questions that follow.
1.1. A rich understanding of geometry has important
implications for other topics in mathematics. Identify and
explain the four topics in the Intermediate phase
mathematics
with the direct link to geometry (12)
1.2 Spatial sense is regarded as an intuition about the shapes
and the relationships among the shapes. Develop the
three learning activities for a grade 4 class on spatial
development. What do you think is the cause of some
people to have better spatial
sense than the others? (8)
1.2 The prominent feature of the Van Hiele framework is a five
hierarchy on understanding spatial ideas. Consider the
diagram below and answer the questions that follow:
Diagram 1
2
, MIP2601/102/0/2025
1.3.1 Explain how as a mathematics teacher will move learners
through the first three levels of the Van Hiele framework
(9)
2.3.2What are the implications of the activity in 1.21 above for
geometry instruction? (21)
Subtotal = 50
1.1 Four Topics in the Intermediate Phase
Mathematics with a Direct Link to Geometry (12)
According to the CAPS document, the following four
topics in Intermediate Phase mathematics have a direct
link to geometry:
1. 2-D Shapes and 3-D Objects
Learners identify, describe, sort, and compare
different 2-D shapes (e.g., triangles, quadrilaterals)
and 3-D objects (e.g., cubes, spheres). They
develop spatial reasoning and visualization skills
necessary for understanding properties and
relationships among shapes.
2. Symmetry
Learners identify lines of symmetry in 2-D shapes
and patterns. Symmetry links to geometry through
visual balance and transformational geometry,
fostering deeper understanding of shape structure
and spatial awareness.
3. Position and Movement (Transformations)
Learners describe and perform translations (slides),
reflections (flips), and rotations (turns) on shapes.
This enhances understanding of congruency,
3
, MIP2601/102/0/2025
orientation, and motion in space, essential for
advanced geometry.
4. Measurement (Area and Perimeter)
Understanding the measurement of shapes
supports geometric thinking. Learners measure
sides, calculate perimeters, and estimate or
calculate the area of shapes, thereby reinforcing
the properties and structures of geometric figures.
1.2 Three Learning Activities for Spatial
Development & Cause of Better Spatial Sense in
Some Learners (8)
Three Learning Activities for Grade 4:
1. Tangram Puzzle Building
o Learners use tangram pieces to form various
shapes (e.g., animals, houses).
Promotes visual-spatial reasoning,
o
decomposition, and re-composition of shapes.
2. Shape Scavenger Hunt
o Learners find real-world objects that match
specific 2-D or 3-D shapes (e.g., sphere –
soccer ball).
o Develops recognition of shapes in the
environment and builds shape vocabulary.
3. Mirror Symmetry Drawing
4
