By the end of the lesson, the learner should be able to:

a) define indices,

- Use number cards with positive signs to demonstrate addition of integers
- Draw tables and arrange cards to work out addition
- Discuss real-life scenarios involving addition of positive integers
- Use counters to visualize addition operations

How do we add positive integers in real-life situations?

- Master Mathematics Grade 9 pg. 1
- Number cards
- Counters with positive signs
- Charts
- Number lines
- Number cards with negative signs
- Thermometers
- Counters
- Digital devices
- Internet access
- Drawing materials
- Charts showing triangles
- Reference books
- Master Mathematics Grade 9 pg. 12
- Dice or cubes
- Mathematical tables
- Calculators
- Charts showing sample tables
- Factor trees diagrams

- Observation - Oral questions - Written assignments

Numbers

Cubes and Cube Roots - Using calculators and real-life applications
Indices and Logarithms - Expressing numbers in index form
Indices and Logarithms - Multiplication and division laws of indices
Indices and Logarithms - Power law and zero indices
Indices and Logarithms - Negative and fractional indices
Indices and Logarithms - Applications of laws of indices
Indices and Logarithms - Powers of 10 and common logarithms
Compound Proportions and Rates of Work - Dividing quantities into proportional parts
Compound Proportions and Rates of Work - Dividing quantities into proportional parts (continued)
Compound Proportions and Rates of Work - Relating different ratios
Compound Proportions and Rates of Work - Continuous proportio

By the end of the lesson, the learner should be able to:

- Identify calculator functions for cubes and cube roots
- Use calculators to find cubes and cube roots
- Show confidence in using digital tools

- Key in numbers and use x³ function on calculators
- Use shift and ∛ functions to find cube roots
- Solve problems involving cubic boxes, tanks, and containers
- Calculate lengths of cubes from given volumes

Where do we apply cubes and cube roots in real-life situations?

- Master Mathematics Grade 9 pg. 12
- Calculators
- Digital devices
- Models of cubes
- Internet access
- Master Mathematics Grade 9 pg. 24
- Number cards
- Factor tree charts
- Drawing materials
- Charts
- Mathematical tables
- Reference books
- Master Mathematics Grade 9 pg. 33
- Reference materials
- Real objects for sharing
- Number lines

- Observation - Oral questions - Written tests - Project work

Numbers
Algebra
Algebra

Compound Proportions and Rates of Work - Working out compound proportions using ratio method
Compound Proportions and Rates of Work - Compound proportions (continued)
Compound Proportions and Rates of Work - Introduction to rates of work
Compound Proportions and Rates of Work - Calculating rates of work with two variables
Compound Proportions and Rates of Work - Rates of work with three variables
Compound Proportions and Rates of Work - More rate of work problems
Compound Proportions and Rates of Work - Applications of rates of work
Compound Proportions and Rates of Work - Using IT and comprehensive applications
Matrices - Identifying a matrix
Matrices - Determining the order of a matrix

By the end of the lesson, the learner should be able to:

- Define compound proportion
- Work out compound proportions using the ratio method
- Appreciate proportional relationships

- Measure heights in pictures and compare ratios
- Observe that in compound proportion, quantities change in the same ratio
- Set up and solve proportion equations
- Relate actual measurements to scaled measurements

How do we use ratios to solve compound proportion problems?

- Master Mathematics Grade 9 pg. 33
- Pictures and photos
- Measuring tools
- Charts
- Rectangles and shapes
- Calculators
- Reference materials
- Stopwatch or timer
- Classroom furniture
- Charts showing worker-day relationships
- Reference books
- Real-world work scenarios
- Charts showing different scenarios
- Digital devices
- Internet access
- Educational games
- Master Mathematics Grade 9 pg. 42
- Charts showing matrices
- Calendar samples
- Tables and schedules
- Mathematical tables
- Charts showing different matrix types

- Observation - Oral questions - Written assignments

Algebra

Matrices - Determining the position of items in a matrix
Matrices - Position of items and equal matrices
Matrices - Determining compatibility for addition and subtraction
Matrices - Addition of matrices
Matrices - Subtraction of matrices
Matrices - Combined operations and applications
Equations of a Straight Line - Identifying the gradient in real life
Equations of a Straight Line - Gradient as ratio of rise to run
Equations of a Straight Line - Determining gradient from two known points
Equations of a Straight Line - Types of gradients
Equations of a Straight Line - Equation given two points

By the end of the lesson, the learner should be able to:

- Explain how to identify position of elements in a matrix
- Determine the position of items in terms of rows and columns
- Show accuracy in identifying matrix elements

- Study classroom sitting arrangements in matrix form
- Describe positions using row and column notation
- Identify elements using subscript notation
- Work with calendars and football league tables

How do we locate specific items in a matrix?

- Master Mathematics Grade 9 pg. 42
- Classroom seating charts
- Calendar samples
- Football league tables
- Number cards
- Matrix charts
- Real objects arranged in matrices
- Charts showing matrix orders
- Classroom arrangement diagrams
- Reference materials
- Number cards with matrices
- Charts
- Calculators
- Reference books
- Digital devices
- Real-world data tables
- Master Mathematics Grade 9 pg. 57
- Pictures showing slopes
- Internet access
- Ladders or models
- Measuring tools
- Graph paper
- Rulers
- Plotting tools
- Charts showing gradient types

- Observation - Oral questions - Written assignments

Algebra

Equations of a Straight Line - More practice on equations from two points
Equations of a Straight Line - Equation from a point and gradient
Equations of a Straight Line - Applications of point-gradient method
Equations of a Straight Line - Expressing in the form y = mx + c
Equations of a Straight Line - More practice on y = mx + c form
Equations of a Straight Line - Interpreting y = mx + c
Equations of a Straight Line - Finding gradient and y-intercept from equations
Equations of a Straight Line - Determining x-intercepts
Equations of a Straight Line - Determining y-intercepts
Equations of a Straight Line - Finding equations from intercepts
Linear Inequalities - Solving linear inequalities in one unknown
Linear Inequalities - Multiplication and division by negative numbers
Linear Inequalities - Graphical representation in one unknown
Linear Inequalities - Linear inequalities in two unknowns
Linear Inequalities - Graphical representation in two unknowns
Linear Inequalities - Applications to real-life situations

By the end of the lesson, the learner should be able to:

- Identify the steps in finding equations from coordinates
- Work out equations of lines passing through two points
- Appreciate the application to geometric shapes

- Find equations of lines through various point pairs
- Determine equations of sides of triangles and parallelograms
- Practice with different types of coordinate pairs
- Verify equations by substitution

How do we apply equations of lines to geometric shapes?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Plotting tools
- Geometric shapes
- Calculators
- Number cards
- Charts
- Reference materials
- Reference books
- Digital devices
- Charts with tables
- Master Mathematics Grade 9 pg. 72
- Number lines
- Rulers
- Tables for values
- Rulers and plotting tools
- Real-world scenarios

- Observation - Oral questions - Written tests