GEOMETRY

Lines - Identifying and drawing horizontal and vertical lines

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

- Identify horizontal lines in the environment
- Draw horizontal lines using different objects
- Identify vertical lines in the environment
- Draw vertical lines using different objects
- Appreciate use of horizontal and vertical lines in real life

In groups or in pairs learners are guided to:
- Run their hands along horizontal edges of classroom objects like tables, desks, chalkboards
- Discuss and share findings with other groups
- Place rulers on paper and draw horizontal lines from left to right
- Use other objects with straight edges to draw horizontal lines
- Run their hands along the legs of tables and corners of walls to identify vertical lines
- Draw vertical lines running from top to bottom using rulers and other objects
- Identify horizontal and vertical lines in their environment

Where do we find horizontal and vertical lines in real life?

- KLB Mathematics Learner's Book Grade 5 page 198
- Rulers
- Straight edges
- Chalk board
- Charts with different lines
- Classroom objects

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

Lines - Identifying and drawing perpendicular lines
Lines - Identifying and drawing parallel lines
Lines - Uses of various types of lines in real life

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

- Identify perpendicular lines in the environment
- Draw perpendicular lines using different objects
- Appreciate use of perpendicular lines in real life

In groups or in pairs learners are guided to:
- Take a piece of paper and fold it twice to form perpendicular lines
- Open the paper and draw lines along the folds
- Identify perpendicular lines in classroom and environment pictures
- Draw a horizontal line and mark a point on it
- Place a right corner at the point and draw a vertical line
- Draw other perpendicular lines using rulers, books and objects with right corners
- Identify perpendicular lines at home and in school

How are perpendicular lines formed?

- KLB Mathematics Learner's Book Grade 5 page 202
- Rulers
- Right angle corners
- Edges of books
- Paper for folding
- Chalk board
- Charts with perpendicular lines
- KLB Mathematics Learner's Book Grade 5 page 205
- Charts with parallel lines
- Classroom objects
- KLB Mathematics Learner's Book Grade 5 page 207
- Charts with different types of lines
- Pictures of objects showing different types of lines

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

Angles - Relating a turn to angles
Angles - Reading a protractor
Angles - Using a protractor to measure angles

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

- Relate a turn to an angle
- Make different turns to form different angles
- Identify angles in different objects
- Appreciate use of angles in day-to-day life

In groups or in pairs learners are guided to:
- Make clockwise complete, half and quarter turns
- Discuss the relationship between turns and angles
- Identify that the amount of turn made is an angle
- Form angles by opening and closing doors, windows, scissors, and books
- Make angles by moving hands and legs
- Mark angles in different shapes and objects
- Identify angles in classroom and everyday objects

How is a turn related to an angle?

- KLB Mathematics Learner's Book Grade 5 page 208
- Clock face
- Pictures showing angles
- Scissors
- Books
- Doors and windows
- KLB Mathematics Learner's Book Grade 5 page 212
- Protractors
- Chart showing how to read a protractor
- Pictures with angles
- KLB Mathematics Learner's Book Grade 5 page 213
- Charts with different angles
- Papers with drawn angles
- Rulers

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

Angles - Identifying the degree as a unit of measuring angle
Angles - Measuring angles in degrees
Angles - Uses of angles in the environment

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

- Identify the degree as a unit for measuring angles
- Make a unit angle to measure angles
- Appreciate the use of degree as standard unit for measuring angles

In groups or in pairs learners are guided to:
- Make a unit angle and use it to measure angles in environment
- Divide a 10° angle into 10 equal parts
- Identify each part as equal to 1 degree
- Use the unit angle to measure angles in different objects
- Compare measurements using unit angle to standard measurements
- Discuss the importance of having a standard unit (degree) for measuring angles

Why do we need a standard unit for measuring angles?

- KLB Mathematics Learner's Book Grade 5 page 210
- Unit angle cut-outs
- Protractors
- Half circular cut-outs
- Paper
- Scissors
- KLB Mathematics Learner's Book Grade 5 page 212
- Compasses
- Rulers
- Charts with different angles
- KLB Mathematics Learner's Book Grade 5 page 209
- Clock face
- Pictures of buildings, bridges, furniture
- Charts showing angles in real-life objects
- Video on angles in environment

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (Part 1)

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

- Identify different 3-D objects in the environment
- Describe the surfaces of different objects
- Appreciate the presence of 3-D objects in our environment

In groups or in pairs learners are guided to:
- Collect different objects such as milk packets, boxes, straws, small pipes, oranges, balls, cubes, marbles, tins
- Study the surface of each object
- Discuss the name used to describe the shape of each surface
- Trace and name the shapes drawn from different objects
- Identify surfaces as rectangular, square, circular or triangular
- Observe that surfaces are either straight or round
- Share findings with other groups

What 3-D objects do we see in our surroundings?

- KLB Mathematics Learner's Book Grade 5 page 218
- Various 3-D objects
- Charts with different 3-D objects
- Paper for tracing
- Pencils

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (Part 2)
3-D Objects - Describing 3-D objects in the environment (Part 3)

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

- Identify cuboids in the environment
- Describe the features of cuboids
- Appreciate the use of cuboids in everyday life

In groups or in pairs learners are guided to:
- Measure the sides of a cuboid
- Count the number of sides and surfaces in a cuboid
- Obtain a closed cuboid and label its parts
- Identify that the flat surfaces of a cuboid are called faces
- Observe that two faces meet to form an edge
- Recognize that two or more edges meet to form a corner
- Count the number of faces, edges, and corners in a cuboid
- Identify objects shaped like a cuboid in the environment
- Share findings with other groups

How many faces, edges, and corners does a cuboid have?

- KLB Mathematics Learner's Book Grade 5 page 220
- Cuboid models
- Charts showing parts of a cuboid
- Objects in cuboid shape
- Rulers
- KLB Mathematics Learner's Book Grade 5 page 222
- Cube models
- Charts showing parts of a cube
- Objects in cube shape

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

3-D Objects - Describing 2-D shapes in 3-D objects (Part 1)

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

- Identify cylinders and their features
- Describe 2-D shapes found in cylinders
- Appreciate use of cylinders in everyday life

In groups or in pairs learners are guided to:
- Obtain a cylinder and examine it
- Identify the shape of top and bottom surfaces (circular)
- Identify the shape of the other surface (curved/round)
- Observe that a cylinder has two circular surfaces and one curved surface
- Note that the two circular surfaces are equal in size
- Identify objects in the environment shaped like cylinders
- Discuss uses of cylinders
- Share findings with other groups

What 2-D shapes make up a cylinder?

- KLB Mathematics Learner's Book Grade 5 page 223
- Cylinder models
- Tin cans
- Pipes
- Charts showing cylinders
- Objects in cylindrical shape

- Observation - Oral questions - Written exercise - Group discussion

GEOMETRY

3-D Objects - Describing 2-D shapes in 3-D objects (Part 2)
3-D Objects - Describing 2-D shapes in 3-D objects (Part 3)

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

- Identify pyramids and their features
- Describe 2-D shapes found in pyramids
- Appreciate use of pyramids in everyday life

In groups or in pairs learners are guided to:
- Obtain a packet of milk in pyramid shape
- Identify the shapes of faces in the pyramid
- Count the number of edges, faces, and corners
- Recognize different types of pyramids (triangular base, square base, rectangular base)
- Compare features of different pyramids
- Complete a table showing number of faces, corners, and edges for different pyramids
- Identify uses of pyramids
- Share findings with other groups

How many faces, edges, and corners do different pyramids have?

- KLB Mathematics Learner's Book Grade 5 page 223
- Pyramid models
- Milk packets in pyramid shape
- Charts showing different pyramids
- Paper for making pyramid models
- KLB Mathematics Learner's Book Grade 5 page 224
- Balls
- Oranges
- Marbles
- Charts showing spheres
- Objects in spherical shape

- Observation - Oral questions - Written exercise - Group discussion

DATA HANDLING

Data Representation - Collecting data of about 30 items
Data Representation - Drawing a table to record data

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

- Identify tools used in data collection
- Collect data related to real-life experiences
- Appreciate importance of data collection in decision making

In groups or in pairs learners are guided to:
- Identify tools required for data collection (notebooks, writing materials, measuring instruments, recording charts)
- Prepare charts for recording information
- Collect data on different topics like favorite fruits, colors, games
- Write information on pieces of paper
- Group the papers according to responses
- Discuss the importance of proper data collection
- Share findings with other groups

Why is data collection important in our daily life?

- KLB Mathematics Learner's Book Grade 5 page 225
- Notebooks
- Pencils/pens
- Recording charts
- Measuring instruments
- Pieces of paper
- KLB Mathematics Learner's Book Grade 5 page 227
- Chart papers
- Rulers
- Collected data
- Sample tables

- Observation - Oral questions - Written exercise - Group discussion

DATA HANDLING

Data Representation - Drawing tally marks of collected data

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

- Draw tally marks to represent data
- Group data according to categories
- Appreciate use of tally marks in data representation

In groups or in pairs learners are guided to:
- Write their favorite color on pieces of paper
- Collect and group the papers according to colors
- Count the number of papers for each color
- Use tally marks to represent the frequency of each color
- Complete tables using tally marks
- Discuss how tally marks help in counting and grouping data
- Share their work with other groups

Why do we use tally marks in data representation?

- KLB Mathematics Learner's Book Grade 5 page 227
- Chart papers
- Pencils/pens
- Pieces of paper
- Rulers
- Sample tally mark tables

- Observation - Oral questions - Written exercise - Group discussion

DATA HANDLING

Data Representation - Preparing a frequency table
Data Representation - Interpreting data represented by frequency tables (Part 1)
Data Representation - Interpreting data represented by frequency tables (Part 2)

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

- Prepare frequency tables from collected data
- Convert tally marks to frequency counts
- Appreciate use of frequency tables in summarizing data

In groups or in pairs learners are guided to:
- Draw tables with columns for data categories, tally marks, and frequency
- Record tally marks for each category of data
- Count the tally marks and record the frequency
- Complete frequency tables for different sets of data
- Discuss how frequency tables summarize information
- Share their frequency tables with other groups

How do frequency tables help us understand data better?

- KLB Mathematics Learner's Book Grade 5 page 228
- Chart papers
- Rulers
- Pencils/pens
- Collected data
- Sample frequency tables
- KLB Mathematics Learner's Book Grade 5 page 229
- Chart papers with frequency tables
- Sample frequency tables with data
- KLB Mathematics Learner's Book Grade 5 page 231
- Matchboxes or similar objects
- Pieces of paper
- Manila paper

- Observation - Oral questions - Written exercise - Group discussion