Maths Literacy - Via Afrika Grade 11

Purpose of Study Guide

• Provides further explanation and consolidation of Learners Book concepts.
• Aims to bridge the Learners Book with CAPS curriculum.
• Divided into two parts: further explanation and exam analysis.

Part 1: Key Topics

Patterns, Relationships, and Representations

• Focus: Non-linear graphs; constant ratio relationships; step-function relationships.
• Skills: Drawing and interpreting complex graphs to understand real-world situations.

Measurement (Conversions and Time)

• Conversions: Between metric and imperial systems; solid to liquid quantities.
  • Example: 1 kg = 2.206 pounds, F = (1.8 × C) + 32.
• Time: Recording and converting time; understanding timetables.

Finance

• Financial Documents: Payslips, invoices, budgets, statements of income.
• Cost Price and Selling Price: Calculating costs for small businesses.
• Break-even Analysis: Using graphs to find intersection points.
• Interest: Understanding simple vs. compound interest.
• Tariff Systems: Analyzing costs in different tariff structures.

Maps, Plans, and Representations

• Maps: Reading various types from road to event maps.
• Plans: Floor, elevation, and design plans.
• Scale Calculations: Translating between plan measurements and real dimensions.

Probability

• Concepts: Expressions of probability, predicting outcomes with tree diagrams and two-way tables.

Data Handling

• Processes: Collecting, organizing, displaying, and analyzing data.
• Graphs: Using bar graphs, line graphs, scatter plots to interpret data.

Part 2: Exam Analysis

Exam Structure

• Two papers: Paper 1 (Basic skills) and Paper 2 (Applications).
• Paper 1: Focuses on basic concepts and skills.
• Paper 2: Tests ability to apply skills in real-world contexts.

Cognitive Demand

• Questions categorized by level of difficulty.
• Paper 1: Lower-level (Level 1 & 2); Paper 2: Higher-level (Level 3 & 4).

Key Observations

• Some misalignment in difficulty between papers.
• Overall exam structure provides comprehensive assessment.

Topics Covered in Exams

• Paper 1: Focus on finance, measurement, graphs, and basic probability.
• Paper 2: Integrated content from multiple topics, higher cognitive demands.

This guide is intended to support students in reinforcing core concepts and preparing effectively for exams, aligning closely with the comprehensive CAPS curriculum requirements.