Algebra

Linear Equations - Forming equations involving addition and subtraction
Linear Equations - Forming equations from word problems

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

- Define a linear equation
- Form linear equations involving addition and subtraction
- Show interest in forming equations

- Use beam balance with 5 kg mass on one side
- Place 2 kg mass and add sand of unknown mass x until balanced
- Write equation to show relationship: x + 2 = 5

What is a linear equation?

- Longhorn Mathematics Learner's Book 
- Beam balance
- Masses (weights)
- Word problem cards
- Number cards

- Oral questions - Written exercises - Observation

Algebra

Linear Equations - Forming equations involving multiplication and division

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

- Explain how to form equations involving multiplication and division
- Form linear equations involving multiplication and division
- Show confidence in forming equations

- Read number card: "I think of a number. If I multiply by 3, I get 27"
- Form equation 3n = 27
- Write equations for area of rectangles: y × 5 = 40

How do we form equations involving multiplication and division?

- longhorn Mathematics Learner's Book 
- Number cards
- Rectangle diagrams

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Solving equations involving addition and subtraction

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

- State the steps for solving linear equations
- Solve linear equations involving addition and subtraction
- Value accuracy in solving equations

- Make number cards with equations like 4x + 2 = 18
- Collect like terms on each side of the equation
- Solve to find the value of the unknown

How do we solve linear equations?

- longhorn Mathematics Learner's Book 
- Number cards
- Charts

- Written assignments - Class activities - Oral questions

Algebra

Linear Equations - Solving equations involving multiplication and division

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

- Explain how to solve equations with brackets
- Solve linear equations involving multiplication and division
- Appreciate the application of equations in real life

- Read story of Grace giving a third of her pencils to friends
- Open brackets and collect like terms
- Divide both sides by coefficient of unknown

How do we solve equations with brackets?

-longhorn Mathematics Learner's Book pg. 80
- Word problem cards
- Calculators

- Written exercises - Oral questions - Observation

Algebra

Linear Equations - Application of linear equations

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

- Identify real life problems involving linear equations
- Solve problems using linear equations
- Show interest in applying equations to real life

- Solve problems about Mwandawiro's salary and school fees
- Find interior angles of triangles using equations
- Solve problems about Kahuho's bags of maize

Where do we apply linear equations in daily life?

- longhorn Mathematics Learner's Book pg. 80   - Triangle diagrams
- Digital devices

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Inequality symbols

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

- Identify inequality symbols (<, >, ≤, ≥)
- Use inequality symbols to compare quantities
- Show interest in using inequality symbols

- Use see-saw to compare masses of learners
- Write Mary's mass > John's mass or John's mass < Mary's mass
- Fill spaces with correct inequality symbols

What are inequality symbols?

- longhorn Mathematics Learner's Book pg. 81
- See-saw
- Inequality cards

- Oral questions - Written exercises - Observation

Algebra

Linear Inequalities - Inequality symbols

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

- Identify inequality symbols (<, >, ≤, ≥)
- Use inequality symbols to compare quantities
- Show interest in using inequality symbols

- Use see-saw to compare masses of learners
- Write Mary's mass > John's mass or John's mass < Mary's mass
- Fill spaces with correct inequality symbols

What are inequality symbols?

- longhorn Mathematics Learner's Book pg. 81
- See-saw
- Inequality cards

- Oral questions - Written exercises - Observation

Algebra

Linear Inequalities - Applying inequality symbols to statements

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

- Explain the meaning of "at least" and "at most"
- Apply inequality symbols to real life statements
- Appreciate the use of inequalities in daily life

- Read story of Harriet visiting nutritionist about eggs and fruits
- Write: Number of eggs ≤ 2, Number of fruits ≥ 3
- Form inequalities from statements about height and volume

How do we apply inequality symbols to real life situations?

- longhorn Mathematics Learner's Book pg. 82
- Inequality cards
- Charts

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Forming inequalities involving addition and subtraction

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

- Define a linear inequality
- Form simple linear inequalities involving addition and subtraction
- Show confidence in forming inequalities

- Use beam balance with 5 kg on one side and 3 kg + sand on other side
- Let mass of sand be b kg and form inequality
- Form inequalities from stories about buses, oranges and goats

How do we form linear inequalities?

- longhorn Mathematics Learner's Book pg. 84
- Beam balance
- Masses

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Forming inequalities involving addition and subtraction

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

- Define a linear inequality
- Form simple linear inequalities involving addition and subtraction
- Show confidence in forming inequalities

- Use beam balance with 5 kg on one side and 3 kg + sand on other side
- Let mass of sand be b kg and form inequality
- Form inequalities from stories about buses, oranges and goats

How do we form linear inequalities?

- longhorn Mathematics Learner's Book pg. 84
- Beam balance
- Masses

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Forming inequalities involving multiplication and division

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

- Explain how to form inequalities from multiplication and division situations
- Form simple linear inequalities involving multiplication and division
- Value the use of inequalities in problem solving

- Read story of Eric and Maureen buying pencils at sh 10 each
- Form inequality: 10x + 10(x+3) < 100
- Form inequalities about plates, shirts and bananas

How do we form inequalities involving multiplication and division?

- longhorn Mathematics Learner's Book pg. 85
- Word problem cards
- Number cards

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Illustrating simple inequalities on a number line

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

- Describe how to represent inequalities on a number line
- Illustrate simple inequalities using open and closed points
- Show interest in representing inequalities graphically

- Study number lines and list numbers greater than, less than, or equal to 5
- Use open point (○) when number is not included
- Use closed point (●) when number is included

How do we represent inequalities on a number line?

- longhorn Mathematics Learner's Book pg. 86
- Number lines
- Inequality cards

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Illustrating simple inequalities on a number line

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

- Describe how to represent inequalities on a number line
- Illustrate simple inequalities using open and closed points
- Show interest in representing inequalities graphically

- Study number lines and list numbers greater than, less than, or equal to 5
- Use open point (○) when number is not included
- Use closed point (●) when number is included

How do we represent inequalities on a number line?

- longhorn Mathematics Learner's Book pg. 86
- Number lines
- Inequality cards

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Forming compound inequalities

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

- Define a compound inequality
- Form compound inequalities from two simple inequalities
- Appreciate the use of compound inequalities

- Look at inequality cards: y ≥ 2 and y < 7 combined as 2 ≤ y < 7
- Read story about Grade 7 Red with learners less than 45 but more than 40
- Form compound inequalities like 5 < y < 12

What is a compound inequality?

- longhorn Mathematics Learner's Book pg. 86
- Inequality cards
- Charts

- Written assignments - Class activities - Oral questions

Algebra

Linear Inequalities - Illustrating compound inequalities on a number line

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

- Explain how to illustrate compound inequalities
- Illustrate compound inequalities on a number line
- Show confidence in representing compound inequalities

- Make inequality cards with compound inequalities
- Illustrate 3 < x ≤ 7 showing x greater than 3 and less than or equal to 7
- Use open and closed points appropriately

How do we illustrate compound inequalities on a number line?

- longhorn Mathematics Learner's Book pg. 88
- Number lines
- Inequality cards

- Written exercises - Oral questions - Observation

Algebra

Linear Inequalities - Application of compound inequalities

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

- Identify real life situations involving compound inequalities
- Form and illustrate compound inequalities from word problems
- Value the application of inequalities in daily life

- Solve problems about farmers with goats (less than 8 but more than 6)
- Form compound inequality and illustrate on number line
- Solve problems about Katana buying oranges

Where do we use compound inequalities in real life?

- longhorn Mathematics Learner's Book pg. 87
- Word problem cards
- Digital devices

- Written assignments - Class activities - Oral questions

Measurements

Pythagorean Relationship - Sides of a right-angled triangle

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

- Identify the sides of a right-angled triangle
- Name the base, height and hypotenuse of a right-angled triangle
- Show interest in learning about right-angled triangles

- think of you using a ladder to climb a fruit tree
- Draw figure formed between tree, ladder and ground
- Identify the longest side (hypotenuse) and two shorter sides (base and height)

What are the sides of a right-angled triangle?

- longhorn Mathematics Learner's Book pg. 88
- Ladders
- Right-angled triangle models

- Oral questions - Written exercises - Observation

Measurements

Pythagorean Relationship - Establishing the relationship

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

- State the Pythagorean relationship
- Verify Pythagorean relationship by counting squares
- Appreciate the relationship between sides of a right-angled triangle

- Trace and draw right-angled triangle with sides 3 cm, 4 cm and 5 cm
- Draw squares on each side and divide into 1 cm squares
- Count squares and compare: squares on height + squares on base = squares on hypotenuse

What is the Pythagorean relationship?

- longhorn Mathematics Learner's Book pg. 91
- Square grids
- Rulers and pencils

- Written assignments - Class activities - Oral questions

Measurements

Pythagorean Relationship - Finding unknown sides
Pythagorean Relationship - Real life applications

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

- Explain how to use Pythagorean relationship to find unknown sides
- Calculate unknown sides using a² + b² = c²
- Show confidence in applying the relationship

- Use formula c² = a² + b² to find hypotenuse
- Use formula a² = c² - b² to find shorter sides
- Solve problems like finding length of ramp and ladder

How do we find unknown sides using Pythagorean relationship?

- longhorn Mathematics Learner's Book pg. 92
- Calculators
- Triangle diagrams

- Written exercises - Oral questions - Observation

Measurements

Length - Converting units of length

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

- Identify units of length (cm, dm, m, Dm, Hm)
- Convert units of length from one form to another
- Show interest in converting units of length

- Study Washika going up stairs labelled cm, dm, m, Dm, Hm
- Note that each step is 10 times the previous
- Generate conversion tables: 1 Hm = 10 Dm = 100 m = 1000 dm = 10000 cm

Why do we convert units of length?

- longhorn Mathematics Learner's Book pg. 96
- Conversion charts
- Metre rulers

- Oral questions - Written exercises - Observation

Measurements

Length - Addition involving length

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

- Explain the process of adding lengths with different units
- Add lengths involving Hm, Dm, m, dm and cm
- Appreciate the use of addition of length in real life

- Study map showing distances between home, school and shopping centre
- Add lengths and regroup where necessary
- Solve problems like Munyao walking from home to market to school

How do we add lengths with different units?

- longhorn Mathematics Learner's Book pg. 96
- Maps
- Number cards

- Written assignments - Class activities - Oral questions

Measurements

Length - Subtraction involving length
Length - Multiplication involving length

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

- Describe the process of subtracting lengths
- Subtract lengths involving Hm, Dm, m, dm and cm
- Show confidence in subtracting lengths

- Make cards with subtraction problems
- Regroup where necessary (borrow from higher unit)
- Solve problems comparing distances covered by Joan and John

How do we subtract lengths with different units?

- longhorn Mathematics Learner's Book pg. 98
- Number cards
- Charts
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Length - Division involving length

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

- Describe the process of dividing lengths
- Divide lengths involving Hm, Dm, m, dm and cm
- Show interest in division of lengths

- Read story of relay race team of 4 members covering 6 Hm 5 Dm 6 m
- Divide each unit starting from highest, convert remainders
- Solve problems about road sections tarmacked by workers

How do we divide lengths by whole numbers?

- longhorn Mathematics Learner's Book pg. 100
- Word problems
- Charts

- Written exercises - Oral questions - Observation

Measurements

Length - Perimeter and circumference of circles
Area - Square metres, acres and hectares

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

- Define perimeter and circumference
- Calculate perimeter of plane figures and circumference of circles
- Appreciate the use of perimeter and circumference in real life

- Measure distance around chalkboard, door and window
- Measure circumference and diameter of circular objects
- Establish relationship: Circumference ÷ Diameter = π (3.14 or 22/7)

How do we find the circumference of a circle?

- longhorn Mathematics Learner's Book pg. 111
- Circular objects
- Tape measures
- Metre rulers

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a rectangle

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

- State the formula for area of a rectangle
- Calculate area of rectangles
- Appreciate the use of area in real life

- Trace and cut out rectangles
- Find area by multiplying length and width
- Complete tables with length, width and area of rectangles

How do we find the area of a rectangle?

- longhorn Mathematics Learner's Book 
- Rectangular cut-outs
- Grid papers

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of a parallelogram
Area - Area of a rhombus

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

- Derive the formula for area of a parallelogram
- Calculate area of parallelograms
- Show confidence in finding area of parallelograms

- Cut out rectangle ABCD and mark point E on line AD
- Cut triangle ABE and paste on line DC to form parallelogram
- Discover: Area = Base length × Perpendicular height

How do we find the area of a parallelogram?

- longhorn Mathematics Learner's Book 
- Paper cut-outs
- Scissors

- Written exercises - Oral questions - Observation

Measurements

Area - Area of a trapezium

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

- Derive the formula for area of a trapezium
- Calculate area of trapezia
- Appreciate the application of area in land measurement

- Trace and cut out figure ABCD, mark point M on line AB
- Cut triangle ADM to form trapezium
- Discover: Area = ½(a + b) × h where a and b are parallel sides

How do we find the area of a trapezium?

- longhorn Mathematics Learner's Book 
- Paper cut-outs
- Rulers

- Written exercises - Oral questions - Observation

Measurements

Area - Area of circles

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

- Derive the formula for area of a circle
- Calculate area of circles using πr²
- Show interest in finding area of circles

- Draw circle with radius 7 cm and divide into 16 sectors
- Cut and rearrange sectors to form rectangle
- Discover: Length = πr, Width = r, Area = πr²

How do we find the area of a circle?

- longhorn Mathematics Learner's Book 
- Pair of compasses
- Manila paper

- Written assignments - Class activities - Oral questions

Measurements

Area - Area of borders
Area - Area of combined shapes

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

- Define the area of a border
- Calculate area of borders (shaded regions)
- Value accuracy in calculating area of borders

- Read story of Mary putting picture in frame
- Calculate: Area of border = Area of larger shape - Area of smaller shape
- Solve problems about picture frames, carpets and swimming pools

How do we find the area of a border?

- longhorn Mathematics Learner's Book 
- Picture frames
- Diagrams
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - The cubic metre (m³)

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

- Identify the cubic metre as a unit of measuring volume
- Make a model of a 1 metre cube
- Show interest in measuring volume

- Use metre rule, long sticks and strings to measure and cut 12 sticks of 1 m each
- Join sticks using strings to form a 1 metre cube
- Observe safety when using panga to cut sticks

What is a cubic metre?

- longhorn Mathematics Learner's Book 
- Metre rule
- Long sticks, strings

- Oral questions - Practical activities - Observation

Measurements

Volume and Capacity - Converting m³ to cm³
Volume and Capacity - Converting cm³ to m³

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

- State the relationship between m³ and cm³
- Convert cubic metres to cubic centimetres
- Appreciate the use of volume conversions

- Use the 1 metre cube made in previous lesson
- Calculate volume in m³ (1×1×1) and in cm³ (100×100×100)
- Establish: 1 m³ = 1,000,000 cm³

How do we convert cubic metres to cubic centimetres?

- longhorn Mathematics Learner's Book 
- 1 metre cube model
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cubes

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

- State the formula for volume of a cube
- Calculate volume of cubes
- Value accuracy in calculating volume

- Draw cube and colour one face (cross-sectional area)
- Establish: Volume = Side × Side × Side
- Model cubes using clay, plasticine or manila paper

How do we find the volume of a cube?

- longhorn Mathematics Learner's Book 
- Clay, plasticine
- Manila paper

- Written assignments - Class activities - Oral questions

Measurements

Volume and Capacity - Volume of cuboids
Volume and Capacity - Volume of cylinders

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

- State the formula for volume of a cuboid
- Calculate volume of cuboids
- Appreciate the use of volume in real life

- Draw cuboid and shade one face (cross-sectional area)
- Establish: Volume = Length × Width × Height
- Model cuboids using locally available materials

How do we find the volume of a cuboid?

- longhorn Mathematics Learner's Book 
- Clay, cartons
- Rulers
- Coins, cylindrical objects

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - Relating volume to capacity

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

- State the relationship between cm³, m³ and litres
- Convert between cm³, m³ and litres
- Value the relationship between volume and capacity

- Make model cube 10 cm × 10 cm × 10 cm
- Immerse in water and measure displaced water
- Establish: 1,000 cm³ = 1 litre, 1 m³ = 1,000 litres

What is the relationship between volume and capacity?

- longhorn Mathematics Learner's Book 
- Containers, basin
- Measuring cylinder

- Written exercises - Oral questions - Observation

Measurements

Volume and Capacity - Application of volume and capacity

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

- Calculate capacity of containers in litres
- Solve problems involving volume and capacity
- Appreciate the application of volume and capacity in daily life

- Collect containers of different shapes
- Find volume and convert to capacity in litres
- Solve problems about tanks, tins and pipes

Where do we use volume and capacity in daily life?

- longhorn Mathematics Learner's Book 
- Various containers
- Digital devices

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Units of measuring time
Time, Distance and Speed - Converting hours and minutes

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

- Identify units of measuring time
- Read time from clock faces and stopwatches
- Show interest in reading time

- Observe clock face with hour, minute and second hands
- Read time shown on stopwatches (hours, minutes, seconds)
- Draw clock faces showing different times

How do we read time from a clock face?

- Smart Minds Mathematics Learner's Book pg. 134
- Clock faces
- Stopwatches
- Smart Minds Mathematics Learner's Book pg. 136
- Paper clock faces

- Oral questions - Practical activities - Observation

Measurements

Time, Distance and Speed - Converting minutes and seconds

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

- State the relationship between minutes and seconds
- Convert minutes to seconds and seconds to minutes
- Show confidence in converting time units

- Use stopwatch to observe seconds in different minutes
- Establish: 1 minute = 60 seconds
- Solve problems about water pumps, walking distances

How do we convert minutes to seconds?

- longhorn Mathematics Learner's Book 
- Stopwatches
- Number cards

- Written exercises - Oral questions - Observation

Measurements

Time, Distance and Speed - Converting hours and seconds
Time, Distance and Speed - Converting units of distance

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

- State the relationship between hours and seconds
- Convert hours to seconds and seconds to hours
- Value accuracy in converting time units

- Fill tables showing hours, minutes and seconds
- Establish: 1 hour = 3,600 seconds
- Solve problems about assignments, journeys and power saws

How do we convert hours to seconds?

- longhorn Mathematics Learner's Book 
- Calculators
- Conversion charts
- Maps
- Measuring tapes

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Speed in km/h

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

- Define speed as distance covered per unit time
- Calculate speed in kilometres per hour
- Show interest in calculating speed

- Walk and run around athletics field (1 lap = 400 m)
- Record time taken for each activity
- Calculate: Speed = Distance ÷ Time

What is speed in kilometres per hour?

- longhorn Mathematics Learner's Book 
- Athletics field
- Stopwatches

- Written assignments - Class activities - Oral questions

Measurements

Time, Distance and Speed - Speed in m/s
Time, Distance and Speed - Converting km/h to m/s and vice versa

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

- Calculate speed in metres per second
- Solve problems involving speed in m/s
- Value the application of speed in real life

- Mark 100 m distance in the field
- Run 100 m race and record time using stopwatch
- Calculate speed in m/s

What is speed in metres per second?

- longhorn Mathematics Learner's Book 
- Measuring tape
- Stopwatches
- Digital devices

- Written exercises - Oral questions - Observation

Measurements

Temperature - Temperature in our environment

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

- Define temperature as degree of hotness or coldness
- Describe temperature conditions as warm, hot or cold
- Show interest in learning about temperature

- Take walk outside classroom and observe temperature
- Discuss temperature conditions as warm, hot or cold
- Record temperature changes at different times of day

What is temperature?

- longhorn Mathematics Learner's Book 
- Thermometers
- Charts

- Oral questions - Written exercises - Observation

Measurements

Temperature - Comparing temperature
Temperature - Units of measuring temperature

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

- Compare temperature of different objects
- Use warmer, colder, hotter to compare temperature
- Appreciate the importance of temperature in daily life

- Shake hands with partner and compare warmth
- Compare coldness of tap water and ice cubes
- Compare temperature of metallic and wooden objects

How do we compare temperature?

- longhorn Mathematics Learner's Book 
- Ice cubes
- Metallic and wooden objects
- Thermometers
- Sufuria, water

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting °C to Kelvin

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

- State the relationship between °C and Kelvin
- Convert temperature from degrees Celsius to Kelvin
- Value accuracy in temperature conversions

- Measure water temperature before heating and at boiling point
- Compare readings in °C and Kelvin
- Establish: Kelvin = °C + 273

How do we convert degrees Celsius to Kelvin?

- longhorn Mathematics Learner's Book 
- Thermometers
- Calculators

- Written assignments - Class activities - Oral questions

Measurements

Temperature - Converting Kelvin to °C

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

- Explain conversion of Kelvin to degrees Celsius
- Convert temperature from Kelvin to degrees Celsius
- Appreciate the use of temperature conversions

- Complete table showing daily temperatures in Kelvin
- Convert to °C by subtracting 273
- Solve problems about melting points and town temperatures

How do we convert Kelvin to degrees Celsius?

- longhorn Mathematics Learner's Book
- Temperature tables
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Temperature - Temperature changes
Money - Profit

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

- Calculate rise or drop in temperature
- Solve problems involving temperature changes
- Show interest in temperature changes in daily life

- Record temperature at different times (8:00 a.m., 2:00 p.m.)
- Calculate temperature rise: Final temp - Initial temp
- Calculate temperature drop: Initial temp - Final temp

How do we calculate temperature changes?

- longhorn Mathematics Learner's Book 
- Thermometers
- Digital devices
- Classroom shop
- Paper money

- Written assignments - Class activities - Oral questions

Measurements

Money - Loss

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

- Define loss in business transactions
- Calculate loss given buying and selling prices
- Appreciate the importance of avoiding loss in business

- Compare buying price and selling price in tables
- Identify when selling price is lower than buying price
- Establish: Loss = Buying price - Selling price

What is loss in business?

- longhorn Mathematics Learner's Book pg. 159
- Price tables
- Charts

- Written assignments - Class activities - Oral questions

Measurements

Money - Percentage profit
Money - Percentage loss

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

- Define percentage profit
- Calculate percentage profit
- Show confidence in calculating percentage profit

- Draw tables with buying price, selling price and profit
- Work out percentage profit = (Profit ÷ Buying price) × 100%
- Solve problems about shirts, books and goods

How do we calculate percentage profit?

- longhorn Mathematics Learner's Book 
- Tables
- Calculators

- Written exercises - Oral questions - Observation

Measurements

Money - Discount

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

- Define discount as reduction from marked price
- Calculate discount given marked price and selling price
- Appreciate the benefit of discounts to buyers

- Read story of Regina bargaining for shoes in shop
- Establish: Discount = Marked price - Selling price
- Solve problems about blouses, blankets and bicycles

What is a discount?

- longhorn Mathematics Learner's Book 
- Price tags
- Charts

- Written exercises - Oral questions - Observation

Measurements

Money - Percentage discount
Money - Commission and percentage commission

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

- Define percentage discount
- Calculate percentage discount
- Show interest in calculating discounts

- Complete tables with marked price, selling price and discount
- Work out percentage discount = (Discount ÷ Marked price) × 100%
- Solve problems about motorcycles, cars and blankets

How do we calculate percentage discount?

- longhorn Mathematics Learner's Book 
- Tables
- Calculators
- Commission tables

- Written assignments - Class activities - Oral questions

Measurements

Money - Interpreting bills

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

- Identify different types of bills
- Interpret components of bills (date, amount, items)
- Appreciate the importance of bills in transactions

- Look at water bills and electricity bills
- Identify components: billing date, metre number, amount payable
- Use digital devices to search for other types of bills

What are the components of a bill?

- longhorn Mathematics Learner's Book 
- Sample bills
- Digital devices

- Written assignments - Class activities - Oral questions

Measurements

Money - Preparing bills

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

- Explain the use of symbols @ and 'for' in bills
- Prepare bills for items purchased
- Show confidence in preparing bills

- Read story of Gillian buying items from kiosk
- Prepare bill showing items, quantities and prices
- Calculate total cost and balance

How do we prepare a bill?

- longhorn Mathematics Learner's Book              - Bill formats
- Paper money

- Written exercises - Oral questions - Observation

Measurements

Money - Postal charges

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

- Identify postal services and charges
- Calculate cost of sending letters, parcels and postcards
- Appreciate postal services in communication

- Visit nearby post office to gather information
- Prepare chart showing postal charges by mass limits
- Calculate costs for different letters and parcels

How do we calculate postal charges?

- longhorn Mathematics Learner's Book 
- Postal charge tables
- Charts

- Written assignments - Class activities - Oral questions

Measurements

Money - Mobile money services

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

- Identify mobile money services (deposit, withdraw, transfer, save, borrow)
- Explain the importance of mobile money services
- Value the convenience of mobile money

- Read story of Mr Mamboleo using mobile money in his shop
- Identify services: pay bill, transfer, save, withdraw, borrow
- Complete word puzzle circling mobile money services

What are mobile money services?

- longhorn Mathematics Learner's Book 
- Word puzzles
- Charts

- Written exercises - Oral questions - Observation

Measurements

Money - Mobile money services

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

- Identify mobile money services (deposit, withdraw, transfer, save, borrow)
- Explain the importance of mobile money services
- Value the convenience of mobile money

- Read story of Mr Mamboleo using mobile money in his shop
- Identify services: pay bill, transfer, save, withdraw, borrow
- Complete word puzzle circling mobile money services

What are mobile money services?

- longhorn Mathematics Learner's Book 
- Word puzzles
- Charts

- Written exercises - Oral questions - Observation

Measurements

Money - Mobile money transactions

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

- Interpret mobile money transaction tables
- Calculate transfer costs, withdrawal costs and interest on loans
- Appreciate the efficiency of mobile money transactions

- Study Uwezo Mobile Money transaction tables
- Calculate costs for different transaction ranges
- Calculate interest on loans and savings from mobile lending apps

How do we calculate mobile money transaction costs?

- longhorn Mathematics Learner's Book
- Transaction tables
- Calculators

- Written assignments - Class activities - Oral questions