Lesson Notes By Weeks and Term v3 - Primary 6
Height and distances
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Height and distances
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Subject: General Mathematics
Class: Primary 6
Term: 3rd Term
Week: 3
Theme: Mensuration And Geometry
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Pupils should be able to measure heights of human beings building, trees and distance
point. For longer distances, it may be necessary to mark the end of one tape length and then reposition the tape to continue measuring. Longer Distances (e.g., school playground, pathway): Use a measuring tape (by repositioning it multiple times) or a trundle wheel. With a trundle wheel, roll it from the start to the end point. Count the clicks or rotations and multiply by the distance per click/rotation (usually 1 metre).
Conversion of Units: Students must be proficient in converting between cm, m, and km.
Centimetres to Metres: Divide by
1
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0. Example 1: Convert 250 cm to metres. 250 cm ÷ 100 = 2.5 m Metres to Centimetres: Multiply by
1
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0. Example 2: Convert 3.7 m to centimetres. 3.7 m × 100 = 370 cm Metres to Kilometres: Divide by
1
0
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0. Example 3: Convert 5500 m to kilometres. 5500 m ÷ 1000 = 5.5 km Kilometres to Metres: Multiply by
1
0
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0. Example 4: Convert 0.8 km to metres. 0.8 km × 1000 = 800 m Realistic Nigerian Contexts for
Examples: A tailor measures 120 cm of Ankara fabric for a blouse. How many metres is that? (1.2 m) The distance from Mrs. Ngozi's farm to the market is 3 km. How many metres is this? (3000 m) * A bricklayer needs to build a wall 2.8 metres high. How many centimetres is that? (280 cm)
Definition of Key Terms: Height: The measurement of an object from its base to its top, usually measured vertically. For example, the height of a person, a building, or a tree.
Distance: The amount of space between two points or objects. It is typically measured horizontally or along a specific path. For example, the distance between two towns, the length of a room, or the width of a river.
Units of Measurement: The standard units for measuring height and distance are derived from the International System of Units (SI).
Centimetre (cm): A small unit, commonly used for measuring shorter heights and lengths, such as the height of a book, the length of a pencil, or a person's hand span. 100 centimetres (cm) = 1 metre (m)
Metre (m): A standard unit for measuring moderate heights and distances, such as the height of a door, the length of a classroom, or a person's height. 1 metre (m) = 100 centimetres (cm) 1000 metres (m) = 1 kilometre (km)
Kilometre (km): A large unit, primarily used for measuring long distances, such as the distance between cities, the length of a major road, or the distance around a large school compound. 1 kilometre (km) = 1000 metres (m)
Measuring Tools: Ruler: Used for measuring very short lengths (up to 30 cm).
Metre Rule: A straight edge, typically 1 metre long, used for measuring slightly longer lengths than a ruler can handle.
Measuring Tape: A flexible tape, often several metres long (e.g., 5m, 10m, 30m), essential for measuring curved surfaces, heights, and longer distances like room dimensions or the school field.
Trundle Wheel: A wheel with a handle, designed to measure longer distances by rolling it along the ground. Each click or rotation often represents 1 metre, making it useful for playgrounds or pathways.
Practical Methods for Measurement:
1. Measuring Height: Human Beings: Instruct the person to stand upright against a flat wall, ensuring their heels are touching the wall and head is straight. Place a flat object (like a ruler or a book) horizontally on top of their head, perpendicular to the wall. Mark the point on the wall where the flat object touches. Use a measuring tape or metre rule to measure the distance from the floor to the mark. Record in centimetres and/or metres. Classroom Objects (e.g., desk, door, window): For objects that can be directly accessed, use a measuring tape or metre rule. For a door, measure from the floor to the top edge. For a window, measure from the bottom frame to the top frame. Ensure the tape is held straight and taut.
Smaller Trees/Poles (within reach): For trees or poles that are not too tall to reach the top safely (e.g., a young sapling, a flagpole within a few metres), use a long measuring tape. Extend the tape from the base of the object vertically to its top.
2. Measuring Distance: Short Distances (e.g., length of a book, width of a table): Use a ruler or metre rule. Place the chosen tool along the edge of the object and read the measurement. Moderate Distances (e.g., classroom length/width, corridor length): Use a measuring tape. Designate a starting point and an end point. Place the zero mark of the measuring tape at the starting point. Stretch the tape in a straight line to the end point, ensuring it is taut and not slack. Read the measurement at the end point. For longer distances, it may be necessary to mark the end of one tape length and then reposition the tape to continue measuring. Longer Distances (e.g., school playground, pathway): Use a measuring tape (by repositioning it multiple times) or a trundle wheel. With a trundle wheel, roll it from the start to the end point. Count the clicks or rotations and multiply by the distance per click/rotation (usually 1 metre).
Conversion of Units: Students must be proficient in converting between cm, m, and km.
Centimetres to Metres: Divide Teacher Activities: Introduction (10 minutes): Begin by asking students to identify situations in daily life where they or their parents use measurement (e.g., buying fabric, building a house, travelling, buying land). Show various measuring tools (ruler, metre rule, measuring tape, trundle wheel if available) and ask students to name them and suggest their uses. Introduce the topic "Height and Distances" and state the lesson's objectives. Concept Explanation and Demonstration (15 minutes): Explain the definitions of height and distance, and the standard units (cm, m, km). Demonstrate the proper use of a measuring tape and metre rule for measuring both height (e.g., a student's height, door height) and distance (e.g., desk length, whiteboard length). Emphasize holding the tape straight and reading accurately. Demonstrate unit conversions using worked examples on the board (cm to m, m to cm, m to km, km to m).
Guided Practical Activity (20 minutes): Divide students into small groups (e.g., 4-5 students per group). Provide each group with a measuring tape (and a metre rule if available). Assign specific objects within the classroom or immediate vicinity for groups to measure.
Examples: Height of two different students in the group. Height of the classroom door. Length and width of their group's desk/table. Length and width of the classroom itself. Circulate among groups, providing guidance, correcting techniques, and ensuring accurate readings. Discussion and Data Recording (10 minutes): Bring the class back together. Ask groups to share their measurements. Record some of the measurements on the board (e.g., a student's height in cm, door height in m, classroom length in m). Lead a discussion on how to convert these measurements to other units (e.g., convert student's height from cm to m, door height from m to cm).
Conclusion (5 minutes): Summarize the key concepts learned: definitions, units, tools, and methods of measurement. Reiterate the real-life importance of accurate measurement.
Student Activities: Discussion and Brainstorming: Participate in the initial discussion, sharing ideas on where measurement is used.
Observation: Observe the teacher's demonstration of using measuring tools and unit conversion.
Group Practical Measurement: Work in assigned groups to physically measure the heights and distances of designated objects within the classroom and school environment using provided tools.
Data Recording: Record their group's measurements in their exercise books, specifying the units used.
Unit Conversion Practice: Convert the recorded measurements to other relevant units as guided by the teacher.
Sharing Results: Present their group's findings and converted measurements to the class. The teacher should guide students through these questions, providing support and correcting errors as they work.
Question 1: A student measures the height of his friend, Emeka, as 145 centimetres. a) What is Emeka's height in metres? b) What tool was most likely used for this measurement?
Solution 1: a) To convert centimetres (cm) to metres (m), divide by 100. 145 cm ÷ 100 = 1.45 m Emeka's height in metres is 1.45 m. b) A measuring tape or a metre rule would be most suitable for this measurement.
Commentary: This question reinforces unit conversion (cm to m) and the appropriate tool usage.
Question 2: Measure the length of your classroom from the front wall to the back wall. Express your answer in metres. Then, convert this measurement to centimetres.
Solution 2: (Teacher guides students to perform the measurement practically)* Assume the classroom length measured is 8.5 metres.
Length in metres: 8.5 m To convert metres (m) to centimetres (cm), multiply by 100. 8.5 m × 100 = 850 cm The classroom length in centimetres is 850 cm.
Commentary: This involves a practical measurement followed by a conversion (m to cm), which is a core skill for Primary
6. Question 3: The distance from the school gate to the assembly hall is 150 metres. a) How many kilometres is this distance? b) If a student walks this distance twice a day (to and from the hall), what is the total distance walked in metres?
Solution 3: a) To convert metres (m) to kilometres (km), divide by 1000. 150 m ÷ 1000 = 0.15 km The distance is 0.15 km. b) Distance walked to and from the hall = 150 m + 150 m = 300 m. The total distance walked is 300 metres.
Commentary: This question focuses on m to km conversion and a simple real-world application of distance calculation.
Question 4: A carpenter needs a piece of wood 2 metres and 60 centimetres long. What is the total length of the wood in centimetres?
Solution 4: First, convert the metres part to centimetres: 2 metres = 2 × 100 cm = 200 cm Then, add the remaining centimetres: Total length = 200 cm + 60 cm = 260 cm The total length of the wood is 260 cm.
Commentary: This involves combining mixed units and converting to a single unit, a common practical scenario.
Building and Construction (Housing in Nigeria): In Nigeria, skilled artisans like bricklayers, carpenters, and civil engineers constantly use height and distance measurements. They measure the height of walls, the length and width of rooms, the dimensions of foundations, and the overall size of a building plot (e.g., a "half plot" or "full plot" of land). This ensures buildings are structurally sound, materials are purchased accurately, and designs conform to specifications, whether constructing a bungalow, a multi-storey building in Lagos, or a mud house in a rural village. Tailoring and Fashion Design (Nigerian Attire): Nigerian tailors and fashion designers rely heavily on precise body measurements (height, chest, waist, arm length) and fabric length/width to create traditional attire like 'Agbada', 'Iro and Buba', 'Babariga', or modern outfits. Accurate measurement ensures clothes fit well and minimizes fabric wastage, which is important for their livelihood. Agriculture and Land Management (Farming Practices): Farmers in Nigeria measure the dimensions of their farmlands to determine planting areas, estimate yields, and plan irrigation systems. For example, knowing the length and width of a yam farm helps in calculating how many heaps can be planted or how much fertilizer is needed. Local land surveyors also use distance measurements to define property boundaries and resolve land disputes. Transportation and Logistics (Travel across Nigeria): Knowing distances is crucial for travel planning. Drivers estimate fuel consumption, travel time, and routes based on distances between cities (e.g., Abuja to Kano, Port Harcourt to Uyo). Road construction projects involve extensive measurement of lengths, widths, and gradients to build safe and efficient transportation networks across the country.