Answer to Question #192270 in Geometry for Jaco Visagie

Question

Critically review the progression from Grade 4-6 for each of six topics under the content area, Space and Shape (Geometry). Write a short paragraph (three sentences) for each topic in which you discuss and motivate whether the progression provides a fair amount of cognitive and conceptual challenge at the relevant grade levels – too much, too little, or just right?    

Answer 1

1-Learning Outcome 1: Numbers, Operations and Relationships

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

It also develops the learner’s understanding of:

• what different kinds of numbers mean;
• how different kinds of numbers relate to one another.

2-Learning Outcome 2: Patterns, Functions and Algebra

The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Learning Outcome 2 focuses on:

• describing patterns and relationships through the use of symbolic expressions, graphs and tables; and
• identifying and analysing regularities and change in patterns and relationships that enable learners to make predictions and solve problems.

3-Learning Outcome 3: Space and Shape (Geometry)

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.

The study of space and shape enables the learner to:

• develop the ability to visualise, interpret, calculate relevant values, reason and justify; and
• interpret, understand, classify, appreciate and describe the world through two-dimensional shapes and three-dimensional objects, their location, movement and relationships.

4-Learning Outcome 4: Measurement

The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Learning Outcome focus

The ability to measure appropriately has been developed by humans over time and through various cultures. Measurement focuses on the selection and use of appropriate units, instruments and formulae to quantify characteristics of events, shapes, objects and the environment. Measuring relates directly to the scientific, technological and economic worlds of the learner, enabling the learner to:

• make sensible estimates; and
• be alert to the reasonableness of measurements and results.