Tuesday, November 3, 2020

TOPIC: Scale Drawing Maths - Strand: Measurement

 

FOCUS QUESTION
How do I calculate and use the various measurements around me?

SPECIFIC OBJS.
Interpret a simple scale drawing and calculate actual distances using the scale on a road map or floor plan.

CONTENT SUMMARY

In plain English, a scale drawing is a drawing which has been reduced or enlarged from its original size, to a specified scale. The scale is a ratio of the size of the drawing to the size of the original object being drawn. This may be referred to as a scale ratio.


ENGAGE
Students. I want us to all turn to the Map of Jamaica. 
Before we go any further, what are the four things found on a map?

Title
Compass
Key
Scale

Now look at what the scale says. 
I want you to use your ruler and measure the distance between the following places in cm.
Black River to Santa Cruz
Santa Cruz to Christiana
Portmore to Harbour View

Do you believe the distances you got for these places could be the actual distances of these places?
Of course not. The real length of these places could never hold in this Atlas.

This is why we need what is called a SCALE to represent these actual lengths.

We will be looking today at SCALE DRAWING.


EXPLORE
Let us listen to the video clip on scale drawing below, to learn more about it.

Video clip: Scale Drawing

In SCALE DRAWING, the first term refers to the length of the scale and the second term refers to the length of the actual object.


Now let us go back to the places you measured earlier on. 
Using a scale of 1cm = 30 Km , find the actual distance of each place.

 PLACES                                                                    

 MEASUREMENT    

ACTUAL DISTANCE 

 Black River to Santa Cruz

 2.5 cm

 

 Santa Cruz to Christiana

 3.5 cm

 

 Portmore to Harbour View

 3    cm

 



EXPLAIN
What is meant by SCALE DRAWING?
Explain what the first and second term on the scale  of a map represent.
When in other real life situations is scale drawing used?

EXTEND/ELABORATE

Use your ruler and the scale below to answer the questions that follow.
By now you should have noticed that one box in the grid actually represents 1 cm.







































(a) What is the actual distance from Super Shop to Hotel Sun?
(b) What is the actual distance between Beach Bistro to Grooves Night Club?

EVALUATE
1. The distance between two towns is 8 cm. Using a scale of 1cm: 500 km, calculate the actual distance between the two towns.

2. Complete the table below, using the scale 1cm: 20 km.

Places

Measurement

Actual Distance

Kingston to Morant Bay

       20 cm

 

Santa Cruz to Christiana

         3 cm

 

Black River to Lacovia

         2 cm

 


3. 























FOLLOW UP PRACTICE EXERCISES

ACTIVITY 1

ACTIVITY 2

ACTIVITY 3

ACTIVITY 4

5E Mathematics Lesson Plan – Scale Drawing

Grade: 6
Duration: 1 hour
Topic: Scale Drawing
Focus Question: How do I calculate and use the various measurements around me?
Objective: Students will interpret a simple scale drawing and calculate actual distances using the scale on a road map or floor plan.


Engage (5 mins)

  • Activity: Show students a Google Maps screenshot of a familiar area (school neighborhood) with a scale bar.

  • Prompt Questions:

    • What does this small line at the bottom mean?

    • Why do maps use a scale instead of the actual size?

  • Mini-discussion: Highlight real-life situations where scale drawings are used—blueprints, road maps, furniture layout.

  • STEM Connection: Explain that engineers, architects, and surveyors use scale drawings to represent real structures accurately.


Explore (10 mins)

  • Activity:

    1. Give students a simple floor plan of the classroom (1 cm = 1 m).

    2. Students measure a few distances on the plan (e.g., door to window, teacher’s desk to board).

    3. They convert measurements into actual distances using the given scale.

  • Group Work: Students work in pairs with rulers and compare answers.

  • STEM Link: Relate to how builders check actual building dimensions from blueprints before construction.


Explain (15 mins)

  • Direct Teaching:

    1. Define scale and scale drawing.

    2. Explain the two main scale types: ratio form (e.g., 1:100) and word form (e.g., 1 cm represents 1 m).

    3. Show step-by-step:

      • Measure drawing distance.

      • Multiply by the scale factor to get actual distance.

      • Reverse: Divide actual distance by scale factor to get drawing size.

  • Example Problem:
    A map scale says 1 cm = 5 km. The distance between two towns is 8 cm on the map.

    • Actual Distance = 8 × 5 = 40 km.

  • STEM Link: Discuss GPS devices and mapping software that apply scale conversions automatically.


Elaborate (15 mins)

  • Activity – "Plan My Room"

    1. Students receive a mini floor plan of a bedroom with some distances labeled.

    2. They calculate actual distances.

    3. Extension: Students create their own mini plan of their dream bedroom at a chosen scale (e.g., 1 cm = 0.5 m).

  • Differentiation:

    • Tier 1 (Support): Provide scale already written and guide through calculations.

    • Tier 2 (Core): Students calculate with given scale and unlabeled distances.

    • Tier 3 (Challenge): Students choose their own scale and convert between different scales.


Evaluate (15 mins)

Three-Tier Evaluation Activity

  1. Tier 1 (Basic Understanding):

    • Given: Scale 1 cm = 2 km.
      Q: If two points are 6 cm apart on the map, what is the actual distance?

  2. Tier 2 (Application):

    • Given a simple road map, measure two towns 4.5 cm apart. Scale 1 cm = 3 km.
      Q: What is the actual distance?

  3. Tier 3 (Reasoning & Extension):

    • A playground is 40 m long in real life. You want to draw it on paper so that it’s 8 cm long.
      Q: What is the scale of your drawing?

  • Rubric:

    • Mastery: Correct use of scale factor in all tasks.

    • Proficient: Minor calculation error but correct method.

    • Developing: Needs help identifying correct scale usage.


Closure (5 mins)

  • Recap: Why do we use scales? How do we find actual distances from drawings?

  • Real-world link: Assign students to find a map at home or online and identify its scale for next class.


Materials Needed

  • Rulers

  • Printed maps/floor plans

  • Pencils, erasers

  • Google Maps screenshot with scale bar

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