Middle Years Developing Numeracy - Algebra: Book 3

Part of the series Middle Years Developing Numeracy - Algebra.

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Activities that consolidate student understanding of equations, formulae, identities, sequences, functions and graphs. 64 pages of maths activities featuring real-life and theoretical contexts; with each task carefully graded, and the level of difficulty progressing from Book 1 through to Book 3. Includes teacher's notes, and answers for time-efficient marking. Suitable for Middle Years 5-8.

Book 3 Topics Include

• Distinguish the Different Roles played by Letter Symbols
• Use Index Notation for Integer Powers and Simple Instances of the Index Laws
• Know and Use Index Laws in Generalised Form for Multiplication and Division of Integer Powers
• Simplify or Transform Algebraic Expressions by Taking out Single-Term Common Factors
• Add and Subtract Simple Algebraic Fractions
• Construct and Solve Linear Equations with Integer Coefficients
• Use Systematic Trial and Improvement Methods to find Approximate Solutions to Equations
• Solve Problems Involving Direct Proportion using ICT
• Substitute Numbers into Expressions and Formulae
• Generate Terms of a Sequence using Term-to-Term and Position-to-Term Definitions of the Sequence
• Find the Next Term and the nth Term of Quadratic Sequences and Functions and Explore their Properties
• Generate Sequences from Practical Contexts and Write an Expression to Describe the nth Term of an Arithmetic Sequence
• Find the Inverse of a Linear Function
• Generate Points and Plot Graphs of Linear Functions
• Given Values for m and c, Find the Gradient of Lines given by Equations of the form y = mx + c
• Construct Functions Arising from Real-Life Problems and Plot their Corresponding Graph

Uses and Benefits of the Books

• Supplementary classroom lessons
• Homework activities
• Reinforcement of learning
• Extension work for advanced students
• Preparation for assessment
• Exam revision Teaching Benefits
• Creative teaching ideas
• Developing greater student interest and understanding
• A fresh approach to a topic or lesson
• A way of targeting student weaknesses
• Suitable for individual or group work
• A variety of activities for home study