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Gr 11 Math Lit: Ch 4 Sum Maps, Plans and other Representations

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190 Questions

What is the primary purpose of using a national road map?

To plan a route and estimate traveling costs and times

What is the advantage of using a strip chart over a national road map?

It allows for more accurate traveling distances on specific sections of a route

What is the purpose of a street map?

To identify locations of streets and other locations within a city

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor

What is the advantage of using a scale on a map?

It enables the estimation of traveling distances when a distance table or distance markers are not provided

What skill is required when using a housing complex map?

Working with a map that shows a small area with limited detail

What is the primary purpose of using a strip chart?

To determine more accurate traveling distances on specific sections of a route

What skill is required when using a national road map?

Deciding on the most appropriate route between destinations

What is a 2D net in the context of building 3D models?

A flat layout that can be folded to form a 3D object

What is the first step in building a 3D model from a 2D net?

Cut out the 2D net from the provided plans

What is the primary goal of measuring materials accurately in the assembly process?

To ensure that materials fit together correctly

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To ensure accuracy and make adjustments as needed

What is the primary goal of estimating the quantities of materials needed for the assembly?

To calculate the cost of materials

What is the purpose of following the assembly steps in the correct sequence?

To ensure that the components fit together properly

What is the first step in drawing a 2D net from a 3D model?

Observe the 3D model to understand its faces and edges

What is the purpose of using mathematical tools and techniques in the assembly process?

To measure and cut materials accurately

What is the primary goal of interpreting instructions or plans for assembly?

To understand the assembly process and identify all components and tools required

What is the final step in the assembly process?

Complete the assembly and double-check all parts

What is the first step to estimate distances on a map?

Start with a known actual distance.

What is the formula to convert the actual distance to the map measurement?

Map measurement = Actual distance / Scale factor

What type of scale is expressed in the format 1:50,000?

Number Scale

What is the purpose of a bar scale?

To show the relationship between measured length and actual distance.

What happens to the number scale when a map is resized?

A new number scale must be determined.

What is the formula to convert the map measurement to the actual distance?

Actual distance = Map measurement × Scale factor

What is the main difference between a number scale and a bar scale?

A number scale shows the relationship between the size of the area of land and the actual size of that area, while a bar scale shows the relationship between measured length and actual distance.

Why can't you determine the exact distance on a map using a scale?

Because many factors, including accurate measurement, where in the city/town a person is traveling to, etc., can affect the accuracy of a distance calculation on a map.

What is the purpose of using a scale on a map?

To estimate distances accurately and plan routes and travels efficiently.

What happens to the bar scale when a map is resized?

The bar scale is resized by the same proportion and the relationship between measured length and actual size also changes proportionately.

What is the primary purpose of a floor plan?

To show the design and dimensions of the inside of a building or structure

What is the main function of an elevation plan?

To show the design and dimensions of the outside of a building or structure

What is the purpose of a design drawing?

To show what a completed item will look like and the dimensions of its parts

What should you do to describe features of a building or structure on a plan?

Identify various elements like rooms, windows, and doors

What is the purpose of using scale to determine dimensions on a plan?

To accurately measure and determine the actual dimensions of features shown on the plan

What is the formula to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension / Scale Factor

What is the primary purpose of building 3D models from 2D plans or nets?

To facilitate the movement between 2D and 3D representations of objects

What is the purpose of drawing 2D plans or nets of 3D models?

To visualize a 3D object and represent it as a 2D net

What is the primary purpose of using models in this section?

To investigate various problems related to packaging, perimeter, area, and volume

What is the process involved in moving from a 2D drawing to constructing a 3D object?

Building 3D models from 2D plans or nets

What is the primary purpose of using a national road map?

To plan a road trip and determine the most efficient route

What can you determine using a strip chart?

The most accurate traveling distances on specific sections of a route

What is the purpose of using a grid reference system with a street index on a street map?

To find specific streets within a city

How do you convert a map measurement to an actual distance?

By multiplying the map measurement by the scale factor

What is the purpose of using scales on maps?

To estimate traveling distances when a distance table or distance markers are not provided

What skill is required when using a housing complex map?

Working with a map that shows a small area with limited detail

What is the purpose of using distance tables on national road maps?

To determine the actual distance between two cities

What is the primary purpose of using strip charts along with national road maps?

To provide more accurate traveling distances on specific sections of a route

What is the first step in estimating distances on a map?

Start with a known actual distance

What is the purpose of a scale on a map?

To show the relationship between the map and actual distance

What happens to a number scale when a map is resized?

It is no longer valid

What is the main difference between a number scale and a bar scale?

A bar scale shows the relationship between measured length and actual distance

What is the formula to convert an actual distance to a map measurement?

Map measurement = Actual distance / Scale factor

What is the purpose of using a bar scale on a map?

To show the relationship between measured length and actual distance

Why can't you determine the exact distance on a map using a scale?

Because many factors affect the accuracy of the measurement

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor

What is the purpose of a scale on a map, in terms of route planning?

To estimate the distance of a route accurately

What happens to a bar scale when a map is resized?

It is adjusted proportionally

What is the primary goal of understanding 2D plans/nets in building 3D models?

To understand the correspondence between different shapes and designs of nets and 3D objects

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To make adjustments as necessary to ensure accuracy

What is the primary goal of estimating the quantities of materials needed for the assembly?

To calculate the total cost of the materials

What is the purpose of following the assembly steps in the correct sequence?

To ensure that the components fit together properly

What is the primary goal of using mathematical tools and techniques in the assembly process?

To calculate the quantities and costs of materials

What is the first step in interpreting instructions or plans for assembly?

Identify all components and tools required

What is the primary goal of assembling components in the correct sequence?

To ensure that the components fit together properly

What is the purpose of using rulers, tape measures, and protractors in the assembly process?

To measure materials accurately

What is the primary goal of calculating the time required for each step of the assembly process?

To determine the total time needed for the entire assembly

What is the primary goal of preparing all necessary materials and tools for the assembly?

To ensure that the materials are of the correct size, quantity, and type

What is the primary function of a floor plan?

To show the design and dimensions of the inside of a building or structure

What is the purpose of an elevation plan?

To show the design and dimensions of the outside of a building or structure

What is the purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured

What is the purpose of matching features between plans?

To connect features shown on a floor plan with those shown on elevation plans of the same building or structure

What is the formula to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension / Scale Factor

What is the primary purpose of building 3D models from 2D plans or nets?

To build 3D models from 2D plans or nets

What is the primary purpose of drawing 2D plans or nets of 3D models?

To draw 2D plans or nets of 3D models

What is the primary purpose of using models in this section?

To facilitate the movement between 2D and 3D representations of objects

What is the purpose of using scale to determine dimensions on a plan?

To use a given scale to accurately measure and determine the actual dimensions of features shown on the plan

What is the purpose of understanding compass directions in relation to plans?

To understand terms like North, South, East, and West Elevation and the position of sides of the house shown on these different elevations

What skill is required when using a strip chart?

Estimating traveling costs and times

What information can be obtained from a national road map?

Major routes, roads, and distances between major cities and towns

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor

What is the primary use of a housing complex map?

To identify locations within a small housing complex

What is the purpose of using a scale on a map?

To provide an estimate of the actual distance

What skill is required when using a street map?

Following and providing directions using street names and directional indicators

What information can be obtained from a strip chart?

Locations of towns, other roads, and points of interest on a specific route

What is the purpose of using distance tables on national road maps?

To plan stopping points for accommodation, breaks, or refuelling

What is the formula to convert the actual distance to the map measurement?

Map measurement = Actual distance ÷ Scale factor

What type of scale is expressed in the format 1:50,000?

Number scale

What happens to the bar scale when a map is resized?

It changes proportionally

Why can't we determine the exact distance on a map using a scale?

Because many factors affect the accuracy of distance calculations

What is the main difference between a number scale and a bar scale?

A number scale shows a specific relationship in size, while a bar scale shows a relationship between measured length and actual distance

What is the purpose of using a scale on a map?

To estimate distances accurately

What happens to a number scale when a map is resized?

It becomes invalid

What is the primary purpose of using scales on maps?

To estimate distances accurately

What type of calculation involves measuring a distance on a map and using the given scale to determine the actual distance?

Calculation Type 1

What is the purpose of a bar scale on a map?

To show the relationship between measured length and actual distance

What is the primary purpose of a floor plan?

To see the design and dimensions of the inside of a building or structure.

What is the purpose of an elevation plan?

To see the design and dimensions of the outside of a building or structure.

What is the purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured.

What should you do to describe features of a building or structure on a plan?

Identify various elements like rooms, windows, and doors on the plan.

What is the formula to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor

What is the primary purpose of building 3D models from 2D plans or nets?

To facilitate the movement between 2D and 3D representations of objects.

What is the primary purpose of drawing 2D plans or nets of 3D models?

To facilitate the movement between 2D and 3D representations of objects.

What is the primary purpose of using models in this section?

To investigate various problems involving packaging, perimeter, area, and volume.

What process involves moving from a 2D drawing to constructing a 3D object?

Building 3D models from 2D plans or nets.

What is the primary goal of estimating the quantities of materials needed for the assembly?

To determine the actual quantities of materials needed for the assembly.

What is the primary purpose of using 2D plans or nets in building 3D models?

To create a flat layout of the 3D model

What is the main benefit of following the assembly steps in the correct sequence?

It ensures that the components fit together properly

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To ensure accurate assembly

What is the primary purpose of estimating the quantities of materials needed for the assembly?

To determine the cost of materials

What is the main benefit of using mathematical tools and techniques in the assembly process?

It ensures accurate measurement and calculation

What is the primary purpose of interpreting instructions or plans for assembly?

To identify all components and tools required

What is the primary goal of measuring materials accurately in the assembly process?

To ensure that the components fit together properly

What is the primary purpose of drawing 2D plans or nets of 3D models?

To visualize the faces and edges of the 3D model

What is the primary goal of estimating the time required for each step of the assembly process?

To determine the total time needed for the assembly

What is the primary purpose of using a 2D net in building 3D models?

To form a 3D object by folding along specific lines

What is the primary reason why it is only possible to estimate distances on a map using a scale and not to determine distances accurately?

Many factors, including accurate measurement, affect the accuracy of a distance calculation.

What is the formula to determine the actual distance from a map measurement using a scale of 1:50,000?

Actual distance = Map measurement × 50,000

What happens to a bar scale when a map is resized?

The bar scale changes proportionally.

What is the primary purpose of using a number scale on a map?

To provide a specific ratio of map size to actual size.

What is the formula to determine the map measurement from an actual distance using a scale of 1:50,000?

Map measurement = Actual distance ÷ 50,000

What is the main difference between a number scale and a bar scale?

A number scale shows a specific ratio of map size to actual size, while a bar scale shows a specific relationship between measured length and actual distance.

What is the purpose of using a scale on a map?

To estimate distances on a map.

What happens to a number scale when a map is resized?

The number scale becomes invalid.

What is the advantage of using a bar scale over a number scale?

A bar scale remains valid when a map is resized.

What is the purpose of using scales on maps?

To estimate distances on a map.

What is the main advantage of using a strip chart over a national road map?

It allows for more accurate estimation of traveling distances.

When using a housing complex map, what skill is required to follow directions to a specific location?

Working with a map that shows a small area with limited detail.

What is the primary purpose of using scales on maps?

To estimate traveling distances and costs.

What is the formula to convert an actual distance to a map measurement?

Map measurement = Actual distance ÷ Scale factor

What is the primary purpose of using distance tables on national road maps?

To estimate traveling costs and times.

What is the main difference between a national road map and a strip chart?

A strip chart is used for estimating traveling distances on specific routes.

When using a street map, what skill is required to identify locations using symbols?

Using a grid reference system.

What is the primary purpose of using a national road map?

To plan routes between major cities and towns.

What is the primary purpose of using a 2D net in building 3D models?

To visualize the 3D object's faces and edges

What is the primary goal of estimating the time required for each step of the assembly process?

To allocate sufficient time for each step

What is the primary purpose of regularly checking the assembled parts against the instructions or plans?

To correct any mistakes or misalignments

What is the primary goal of using mathematical tools and techniques in the assembly process?

To measure materials accurately

What is the primary purpose of assembling components in the correct sequence?

To ensure that components fit together properly

What is the primary goal of interpreting instructions or plans for assembly?

To understand the assembly process

What is the primary purpose of using 2D plans or nets in building 3D models?

To visualize the 3D object's faces and edges

What is the primary goal of estimating the quantities of materials needed for the assembly?

To calculate the total cost of materials

What is the primary purpose of measuring materials accurately in the assembly process?

To ensure that components fit together properly

What is the primary goal of following the assembly steps in the correct sequence?

To ensure that components fit together properly

What is the difference between a floor plan and an elevation plan?

A floor plan shows the design and dimensions of the inside of a building, while an elevation plan shows the design and dimensions of the outside.

What is the main purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured

What is the formula to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension / Scale Factor

What is the primary purpose of building 3D models from 2D plans or nets?

To create a 3D object from a 2D representation

What is the main difference between a floor plan and a design drawing?

A floor plan shows the design and dimensions of the inside of a building, while a design drawing shows the design and layout of an item to be constructed or manufactured.

What is the primary purpose of using models in this section?

To facilitate the movement between 2D and 3D representations of objects

What is the process involved in moving from a 2D drawing to constructing a 3D object?

Visualizing the 2D drawing and representing it as a 3D object

What is the purpose of using scale to determine dimensions on a plan?

To accurately measure and determine the actual dimensions of features shown on the plan

What is the main difference between a floor plan and an elevation plan in terms of the features shown?

A floor plan shows the dimensions and layout of the inside of a building, including lengths and widths of the building, windows, and doors, while an elevation plan shows the dimensions and layout of the outside of a building, including the design of the roof, walls, windows, and doors.

What is the purpose of drawing 2D plans or nets of 3D models?

To create a 2D representation of a 3D object, which can be folded to recreate the original 3D shape

What is the primary purpose of using a scale on a map?

To estimate distances on a map

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor

What is the main difference between a number scale and a bar scale?

A number scale is used for measuring distances, while a bar scale is used for showing the relationship between measured length and actual distance

What happens to a number scale when a map is resized?

The number scale is no longer valid and a new number scale must be determined

What is the primary purpose of using a bar scale on a map?

To show the relationship between measured length and actual distance

Why can't you determine the exact distance on a map using a scale?

Because many factors, including accurate measurement, can affect the accuracy of a distance calculation on a map

What is the formula to convert an actual distance to a map measurement?

Map measurement = Actual distance / Scale factor

What is the primary purpose of using a number scale on a map?

To show the specific relationship between the size of the area on the map and the actual size of that area

What happens to a bar scale when a map is resized?

The bar scale remains the same

Why is it essential to understand that in most cases, it is only possible to estimate distances on a map using a scale?

Because many factors, including accurate measurement, can affect the accuracy of a distance calculation on a map

What is the primary purpose of using a national road map, strip chart, and street map?

To estimate traveling distances and plan routes between cities and towns.

What is the first step in calculating the actual distance from a map measurement?

Measure the distance on the map.

What is the main difference between a floor plan and an elevation plan?

A floor plan shows the design and dimensions of the inside of a building, while an elevation plan shows the design and dimensions of the outside of a building.

What is the primary purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured.

What is the primary purpose of using a scale on a map?

To convert map measurements to actual distances.

What is the primary purpose of using a strip chart?

To determine more accurate traveling distances on specific sections of a route.

What is the process involved in moving from a 2D drawing to constructing a 3D object?

Drawing a 2D net, then folding it to create a 3D object.

What is the primary purpose of using models in this section?

To facilitate the movement between 2D and 3D representations of objects.

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor

What is the formula to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor

What skill is required when using a housing complex map?

Working with a map that shows a small area with limited detail.

What is the primary purpose of using a street map?

To identify the positions and names of streets within a city.

What is the primary purpose of using scale to determine dimensions on a plan?

To calculate the plan measure from an actual dimension.

What is the purpose of describing the item or object shown on a design plan?

To understand what is represented in the design plan.

What is the primary purpose of using distance tables on national road maps?

To determine the distances between major cities and towns.

What is the purpose of identifying the dimensions of an item or object on a design plan?

To determine the actual dimensions of the item or object.

What is the purpose of describing the different component parts required to make an item or object on a design plan?

To assemble the item or object.

What is the purpose of identifying a cutting list of parts needed to make an item or object on a design plan?

To cut the required parts from a larger piece of material.

What is the main difference between a 2D plan and a 3D model?

A 2D plan is a flat representation of an object, while a 3D model is a three-dimensional representation of the same object.

What is the primary purpose of using mathematical tools and techniques in the assembly process?

To measure materials accurately and calculate quantities and costs.

What is the primary goal of estimating the quantities of materials needed for the assembly?

To ensure that all necessary materials are available.

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To ensure that the assembled parts are accurate and correct.

What is the primary purpose of interpreting instructions or plans for assembly?

To identify all components and tools required for the assembly.

What is the primary goal of measuring materials accurately in the assembly process?

To ensure that the materials fit together correctly.

What is the purpose of following the assembly steps in the correct sequence?

To ensure that the components fit together correctly.

What is the primary purpose of using a 2D net in the context of building 3D models?

To create a flat layout of a 3D object that can be folded into the object.

What is the primary goal of drawing a 2D plan from a 3D model?

To create a flat representation of the 3D model that can be used to create the model.

What is the primary purpose of building 3D models from 2D plans or nets?

To create a three-dimensional representation of the object that can be used to visualize and test the design.

Study Notes

Maps, Plans, and Representations

National Road Maps

  • Show major routes, roads, and distances between major cities and towns in South Africa
  • Skills:
    • Decide on the most appropriate route between destinations
    • Estimate traveling costs and times
    • Plan stopping points for accommodation, breaks, or refueling
    • Use distance tables to determine distances

Strip Charts

  • Show locations of towns, other roads, and points of interest on a specific route
  • Skills:
    • Determine more accurate traveling distances on specific sections of a route
    • Decide on appropriate stopping points for refueling or breaks
    • Estimate traveling costs and times
    • Use distance markers and indicators on the chart

Street Maps

  • Show positions and names of streets and other locations within a city
  • Skills:
    • Identify locations using symbols
    • Follow and provide directions using street names and directional indicators (e.g., left, right)
    • Use a grid reference system with the street index to find specific streets

Housing Complex Maps

  • Show positions of houses within a small housing complex
  • Skills:
    • Work with a map that shows a small area with limited detail
    • Follow and describe directions to a specific location within the complex

Using Scales

  • Use the given scale to estimate traveling distances when a distance table or distance markers are not provided
  • Two types of scale calculations:
    • Type 1: Map Measurement to Actual Distance
      • Measure a distance on a map
      • Use the given scale to convert this measurement to the actual distance
      • Formula: Actual Distance = Map Measurement × Scale Factor
    • Type 2: Actual Distance to Map Measurement
      • Start with a known actual distance
      • Use the given scale to convert this actual distance to the map measurement
      • Formula: Map Measurement = Actual Distance ÷ Scale Factor

Types of Scales

Number Scale

  • Expressed in the format 1:50,000
  • Conversion is straightforward: enlarge or reduce by the scale factor
  • A number scale shows a specific relationship between the size of the area on the map and the actual size of that area

Bar Scale

  • Shows the relationship between measured length and actual distance
  • Measuring with a ruler on the bar scale shows how many measured units are equal to actual distance
  • Different from a number scale in that it does not state how many times smaller the map is from the actual size, but rather how many measured units are equal to a specific number of actual units

Building Plans

Key Concepts

  • Floor Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from above, without the roof
    • Purpose: To see the design and dimensions of the inside of a building or structure
    • Visible Features: Dimensions and layout of the inside of the building, including lengths and widths of the building, windows, and doors
  • Elevation Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from the side
    • Purpose: To see the design and dimensions of the outside of a building or structure
    • Visible Features: Dimensions and layout of the outside of the building, including the design of the roof, walls, windows, and doors
  • Design Drawing:
    • Function: Shows the design, layout, and components of an item to be constructed or manufactured
    • Purpose: To see what a completed item will look like and the dimensions of its parts
    • Visible Features: The design plan shows the different component parts, dimensions of these parts, and specific instructions on how they should look

Key Concepts for Working with Plans

  • Describe features of a building/structure
  • Match features between plans
  • Understand compass directions
  • Use scale to determine dimensions

Design Drawings

  • Describe the item/object shown on the design plan
  • Identify the dimensions of the item/object
  • Describe the different component parts required to make the item/object
  • Identify a cutting list of parts needed to make the item/object

Key Concepts for Design Drawings

  • Describe the item/object
  • Identify dimensions
  • Describe component parts
  • Cutting list

Drawing Scaled Plans

  • Calculate plan measure from actual dimension
  • Formula: Plan Measure = Actual Dimension ÷ Scale Factor
  • Use the given scale to reduce the actual measurement proportionately

Models

Key Skills and Objectives

  • Build 3D models from 2D plans/nets
  • Draw 2D plans/nets of 3D models
  • Use models to investigate various problems

Purpose

  • Facilitate the movement between 2D and 3D representations of objects

Process

  • Understanding 2D plans/nets
  • Building 3D models
  • Drawing 2D plans/nets

Assembling

Key Concepts and Skills

  • Understand instructions
  • Gather materials and tools
  • Measure and cut
  • Estimate quantities and costs
  • Calculate time
  • Follow steps in sequence
  • Check and adjust
  • Use mathematical tools and techniques

Steps to Assemble Components

  • Interpret instructions
  • Prepare materials and tools
  • Measure accurately
  • Cut materials as needed
  • Estimate quantities and costs
  • Estimate time
  • Follow the sequence
  • Check and adjust
  • Complete the assembly

Maps, Plans, and Representations

National Road Maps

  • Show major routes, roads, and distances between major cities and towns in South Africa
  • Skills:
    • Decide on the most appropriate route between destinations
    • Estimate traveling costs and times
    • Plan stopping points for accommodation, breaks, or refueling
    • Use distance tables to determine distances

Strip Charts

  • Show locations of towns, other roads, and points of interest on a specific route
  • Skills:
    • Determine more accurate traveling distances on specific sections of a route
    • Decide on appropriate stopping points for refueling or breaks
    • Estimate traveling costs and times
    • Use distance markers and indicators on the chart

Street Maps

  • Show positions and names of streets and other locations within a city
  • Skills:
    • Identify locations using symbols
    • Follow and provide directions using street names and directional indicators (e.g., left, right)
    • Use a grid reference system with the street index to find specific streets

Housing Complex Maps

  • Show positions of houses within a small housing complex
  • Skills:
    • Work with a map that shows a small area with limited detail
    • Follow and describe directions to a specific location within the complex

Using Scales

  • Use the given scale to estimate traveling distances when a distance table or distance markers are not provided
  • Two types of scale calculations:
    • Type 1: Map Measurement to Actual Distance
      • Measure a distance on a map
      • Use the given scale to convert this measurement to the actual distance
      • Formula: Actual Distance = Map Measurement × Scale Factor
    • Type 2: Actual Distance to Map Measurement
      • Start with a known actual distance
      • Use the given scale to convert this actual distance to the map measurement
      • Formula: Map Measurement = Actual Distance ÷ Scale Factor

Types of Scales

Number Scale

  • Expressed in the format 1:50,000
  • Conversion is straightforward: enlarge or reduce by the scale factor
  • A number scale shows a specific relationship between the size of the area on the map and the actual size of that area

Bar Scale

  • Shows the relationship between measured length and actual distance
  • Measuring with a ruler on the bar scale shows how many measured units are equal to actual distance
  • Different from a number scale in that it does not state how many times smaller the map is from the actual size, but rather how many measured units are equal to a specific number of actual units

Building Plans

Key Concepts

  • Floor Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from above, without the roof
    • Purpose: To see the design and dimensions of the inside of a building or structure
    • Visible Features: Dimensions and layout of the inside of the building, including lengths and widths of the building, windows, and doors
  • Elevation Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from the side
    • Purpose: To see the design and dimensions of the outside of a building or structure
    • Visible Features: Dimensions and layout of the outside of the building, including the design of the roof, walls, windows, and doors
  • Design Drawing:
    • Function: Shows the design, layout, and components of an item to be constructed or manufactured
    • Purpose: To see what a completed item will look like and the dimensions of its parts
    • Visible Features: The design plan shows the different component parts, dimensions of these parts, and specific instructions on how they should look

Key Concepts for Working with Plans

  • Describe features of a building/structure
  • Match features between plans
  • Understand compass directions
  • Use scale to determine dimensions

Design Drawings

  • Describe the item/object shown on the design plan
  • Identify the dimensions of the item/object
  • Describe the different component parts required to make the item/object
  • Identify a cutting list of parts needed to make the item/object

Key Concepts for Design Drawings

  • Describe the item/object
  • Identify dimensions
  • Describe component parts
  • Cutting list

Drawing Scaled Plans

  • Calculate plan measure from actual dimension
  • Formula: Plan Measure = Actual Dimension ÷ Scale Factor
  • Use the given scale to reduce the actual measurement proportionately

Models

Key Skills and Objectives

  • Build 3D models from 2D plans/nets
  • Draw 2D plans/nets of 3D models
  • Use models to investigate various problems

Purpose

  • Facilitate the movement between 2D and 3D representations of objects

Process

  • Understanding 2D plans/nets
  • Building 3D models
  • Drawing 2D plans/nets

Assembling

Key Concepts and Skills

  • Understand instructions
  • Gather materials and tools
  • Measure and cut
  • Estimate quantities and costs
  • Calculate time
  • Follow steps in sequence
  • Check and adjust
  • Use mathematical tools and techniques

Steps to Assemble Components

  • Interpret instructions
  • Prepare materials and tools
  • Measure accurately
  • Cut materials as needed
  • Estimate quantities and costs
  • Estimate time
  • Follow the sequence
  • Check and adjust
  • Complete the assembly

Maps, Plans, and Representations

National Road Maps

  • Show major routes, roads, and distances between major cities and towns in South Africa
  • Skills:
    • Decide on the most appropriate route between destinations
    • Estimate traveling costs and times
    • Plan stopping points for accommodation, breaks, or refueling
    • Use distance tables to determine distances

Strip Charts

  • Show locations of towns, other roads, and points of interest on a specific route
  • Skills:
    • Determine more accurate traveling distances on specific sections of a route
    • Decide on appropriate stopping points for refueling or breaks
    • Estimate traveling costs and times
    • Use distance markers and indicators on the chart

Street Maps

  • Show positions and names of streets and other locations within a city
  • Skills:
    • Identify locations using symbols
    • Follow and provide directions using street names and directional indicators (e.g., left, right)
    • Use a grid reference system with the street index to find specific streets

Housing Complex Maps

  • Show positions of houses within a small housing complex
  • Skills:
    • Work with a map that shows a small area with limited detail
    • Follow and describe directions to a specific location within the complex

Using Scales

  • Use the given scale to estimate traveling distances when a distance table or distance markers are not provided
  • Two types of scale calculations:
    • Type 1: Map Measurement to Actual Distance
      • Measure a distance on a map
      • Use the given scale to convert this measurement to the actual distance
      • Formula: Actual Distance = Map Measurement × Scale Factor
    • Type 2: Actual Distance to Map Measurement
      • Start with a known actual distance
      • Use the given scale to convert this actual distance to the map measurement
      • Formula: Map Measurement = Actual Distance ÷ Scale Factor

Types of Scales

Number Scale

  • Expressed in the format 1:50,000
  • Conversion is straightforward: enlarge or reduce by the scale factor
  • A number scale shows a specific relationship between the size of the area on the map and the actual size of that area

Bar Scale

  • Shows the relationship between measured length and actual distance
  • Measuring with a ruler on the bar scale shows how many measured units are equal to actual distance
  • Different from a number scale in that it does not state how many times smaller the map is from the actual size, but rather how many measured units are equal to a specific number of actual units

Building Plans

Key Concepts

  • Floor Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from above, without the roof
    • Purpose: To see the design and dimensions of the inside of a building or structure
    • Visible Features: Dimensions and layout of the inside of the building, including lengths and widths of the building, windows, and doors
  • Elevation Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from the side
    • Purpose: To see the design and dimensions of the outside of a building or structure
    • Visible Features: Dimensions and layout of the outside of the building, including the design of the roof, walls, windows, and doors
  • Design Drawing:
    • Function: Shows the design, layout, and components of an item to be constructed or manufactured
    • Purpose: To see what a completed item will look like and the dimensions of its parts
    • Visible Features: The design plan shows the different component parts, dimensions of these parts, and specific instructions on how they should look

Key Concepts for Working with Plans

  • Describe features of a building/structure
  • Match features between plans
  • Understand compass directions
  • Use scale to determine dimensions

Design Drawings

  • Describe the item/object shown on the design plan
  • Identify the dimensions of the item/object
  • Describe the different component parts required to make the item/object
  • Identify a cutting list of parts needed to make the item/object

Key Concepts for Design Drawings

  • Describe the item/object
  • Identify dimensions
  • Describe component parts
  • Cutting list

Drawing Scaled Plans

  • Calculate plan measure from actual dimension
  • Formula: Plan Measure = Actual Dimension ÷ Scale Factor
  • Use the given scale to reduce the actual measurement proportionately

Models

Key Skills and Objectives

  • Build 3D models from 2D plans/nets
  • Draw 2D plans/nets of 3D models
  • Use models to investigate various problems

Purpose

  • Facilitate the movement between 2D and 3D representations of objects

Process

  • Understanding 2D plans/nets
  • Building 3D models
  • Drawing 2D plans/nets

Assembling

Key Concepts and Skills

  • Understand instructions
  • Gather materials and tools
  • Measure and cut
  • Estimate quantities and costs
  • Calculate time
  • Follow steps in sequence
  • Check and adjust
  • Use mathematical tools and techniques

Steps to Assemble Components

  • Interpret instructions
  • Prepare materials and tools
  • Measure accurately
  • Cut materials as needed
  • Estimate quantities and costs
  • Estimate time
  • Follow the sequence
  • Check and adjust
  • Complete the assembly

Maps, Plans, and Representations

National Road Maps

  • Show major routes, roads, and distances between major cities and towns in South Africa
  • Skills:
    • Decide on the most appropriate route between destinations
    • Estimate traveling costs and times
    • Plan stopping points for accommodation, breaks, or refueling
    • Use distance tables to determine distances

Strip Charts

  • Show locations of towns, other roads, and points of interest on a specific route
  • Skills:
    • Determine more accurate traveling distances on specific sections of a route
    • Decide on appropriate stopping points for refueling or breaks
    • Estimate traveling costs and times
    • Use distance markers and indicators on the chart

Street Maps

  • Show positions and names of streets and other locations within a city
  • Skills:
    • Identify locations using symbols
    • Follow and provide directions using street names and directional indicators (e.g., left, right)
    • Use a grid reference system with the street index to find specific streets

Housing Complex Maps

  • Show positions of houses within a small housing complex
  • Skills:
    • Work with a map that shows a small area with limited detail
    • Follow and describe directions to a specific location within the complex

Using Scales

  • Use the given scale to estimate traveling distances when a distance table or distance markers are not provided
  • Two types of scale calculations:
    • Type 1: Map Measurement to Actual Distance
      • Measure a distance on a map
      • Use the given scale to convert this measurement to the actual distance
      • Formula: Actual Distance = Map Measurement × Scale Factor
    • Type 2: Actual Distance to Map Measurement
      • Start with a known actual distance
      • Use the given scale to convert this actual distance to the map measurement
      • Formula: Map Measurement = Actual Distance ÷ Scale Factor

Types of Scales

Number Scale

  • Expressed in the format 1:50,000
  • Conversion is straightforward: enlarge or reduce by the scale factor
  • A number scale shows a specific relationship between the size of the area on the map and the actual size of that area

Bar Scale

  • Shows the relationship between measured length and actual distance
  • Measuring with a ruler on the bar scale shows how many measured units are equal to actual distance
  • Different from a number scale in that it does not state how many times smaller the map is from the actual size, but rather how many measured units are equal to a specific number of actual units

Building Plans

Key Concepts

  • Floor Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from above, without the roof
    • Purpose: To see the design and dimensions of the inside of a building or structure
    • Visible Features: Dimensions and layout of the inside of the building, including lengths and widths of the building, windows, and doors
  • Elevation Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from the side
    • Purpose: To see the design and dimensions of the outside of a building or structure
    • Visible Features: Dimensions and layout of the outside of the building, including the design of the roof, walls, windows, and doors
  • Design Drawing:
    • Function: Shows the design, layout, and components of an item to be constructed or manufactured
    • Purpose: To see what a completed item will look like and the dimensions of its parts
    • Visible Features: The design plan shows the different component parts, dimensions of these parts, and specific instructions on how they should look

Key Concepts for Working with Plans

  • Describe features of a building/structure
  • Match features between plans
  • Understand compass directions
  • Use scale to determine dimensions

Design Drawings

  • Describe the item/object shown on the design plan
  • Identify the dimensions of the item/object
  • Describe the different component parts required to make the item/object
  • Identify a cutting list of parts needed to make the item/object

Key Concepts for Design Drawings

  • Describe the item/object
  • Identify dimensions
  • Describe component parts
  • Cutting list

Drawing Scaled Plans

  • Calculate plan measure from actual dimension
  • Formula: Plan Measure = Actual Dimension ÷ Scale Factor
  • Use the given scale to reduce the actual measurement proportionately

Models

Key Skills and Objectives

  • Build 3D models from 2D plans/nets
  • Draw 2D plans/nets of 3D models
  • Use models to investigate various problems

Purpose

  • Facilitate the movement between 2D and 3D representations of objects

Process

  • Understanding 2D plans/nets
  • Building 3D models
  • Drawing 2D plans/nets

Assembling

Key Concepts and Skills

  • Understand instructions
  • Gather materials and tools
  • Measure and cut
  • Estimate quantities and costs
  • Calculate time
  • Follow steps in sequence
  • Check and adjust
  • Use mathematical tools and techniques

Steps to Assemble Components

  • Interpret instructions
  • Prepare materials and tools
  • Measure accurately
  • Cut materials as needed
  • Estimate quantities and costs
  • Estimate time
  • Follow the sequence
  • Check and adjust
  • Complete the assembly

Maps, Plans, and Representations

National Road Maps

  • Show major routes, roads, and distances between major cities and towns in South Africa
  • Skills:
    • Decide on the most appropriate route between destinations
    • Estimate traveling costs and times
    • Plan stopping points for accommodation, breaks, or refueling
    • Use distance tables to determine distances

Strip Charts

  • Show locations of towns, other roads, and points of interest on a specific route
  • Skills:
    • Determine more accurate traveling distances on specific sections of a route
    • Decide on appropriate stopping points for refueling or breaks
    • Estimate traveling costs and times
    • Use distance markers and indicators on the chart

Street Maps

  • Show positions and names of streets and other locations within a city
  • Skills:
    • Identify locations using symbols
    • Follow and provide directions using street names and directional indicators (e.g., left, right)
    • Use a grid reference system with the street index to find specific streets

Housing Complex Maps

  • Show positions of houses within a small housing complex
  • Skills:
    • Work with a map that shows a small area with limited detail
    • Follow and describe directions to a specific location within the complex

Using Scales

  • Use the given scale to estimate traveling distances when a distance table or distance markers are not provided
  • Two types of scale calculations:
    • Type 1: Map Measurement to Actual Distance
      • Measure a distance on a map
      • Use the given scale to convert this measurement to the actual distance
      • Formula: Actual Distance = Map Measurement × Scale Factor
    • Type 2: Actual Distance to Map Measurement
      • Start with a known actual distance
      • Use the given scale to convert this actual distance to the map measurement
      • Formula: Map Measurement = Actual Distance ÷ Scale Factor

Types of Scales

Number Scale

  • Expressed in the format 1:50,000
  • Conversion is straightforward: enlarge or reduce by the scale factor
  • A number scale shows a specific relationship between the size of the area on the map and the actual size of that area

Bar Scale

  • Shows the relationship between measured length and actual distance
  • Measuring with a ruler on the bar scale shows how many measured units are equal to actual distance
  • Different from a number scale in that it does not state how many times smaller the map is from the actual size, but rather how many measured units are equal to a specific number of actual units

Building Plans

Key Concepts

  • Floor Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from above, without the roof
    • Purpose: To see the design and dimensions of the inside of a building or structure
    • Visible Features: Dimensions and layout of the inside of the building, including lengths and widths of the building, windows, and doors
  • Elevation Plan:
    • Function: Shows a 2-dimensional perspective of a building or structure as seen from the side
    • Purpose: To see the design and dimensions of the outside of a building or structure
    • Visible Features: Dimensions and layout of the outside of the building, including the design of the roof, walls, windows, and doors
  • Design Drawing:
    • Function: Shows the design, layout, and components of an item to be constructed or manufactured
    • Purpose: To see what a completed item will look like and the dimensions of its parts
    • Visible Features: The design plan shows the different component parts, dimensions of these parts, and specific instructions on how they should look

Key Concepts for Working with Plans

  • Describe features of a building/structure
  • Match features between plans
  • Understand compass directions
  • Use scale to determine dimensions

Design Drawings

  • Describe the item/object shown on the design plan
  • Identify the dimensions of the item/object
  • Describe the different component parts required to make the item/object
  • Identify a cutting list of parts needed to make the item/object

Key Concepts for Design Drawings

  • Describe the item/object
  • Identify dimensions
  • Describe component parts
  • Cutting list

Drawing Scaled Plans

  • Calculate plan measure from actual dimension
  • Formula: Plan Measure = Actual Dimension ÷ Scale Factor
  • Use the given scale to reduce the actual measurement proportionately

Models

Key Skills and Objectives

  • Build 3D models from 2D plans/nets
  • Draw 2D plans/nets of 3D models
  • Use models to investigate various problems

Purpose

  • Facilitate the movement between 2D and 3D representations of objects

Process

  • Understanding 2D plans/nets
  • Building 3D models
  • Drawing 2D plans/nets

Assembling

Key Concepts and Skills

  • Understand instructions
  • Gather materials and tools
  • Measure and cut
  • Estimate quantities and costs
  • Calculate time
  • Follow steps in sequence
  • Check and adjust
  • Use mathematical tools and techniques

Steps to Assemble Components

  • Interpret instructions
  • Prepare materials and tools
  • Measure accurately
  • Cut materials as needed
  • Estimate quantities and costs
  • Estimate time
  • Follow the sequence
  • Check and adjust
  • Complete the assembly

Test your skills in reading and interpreting national road maps and strip charts, including determining routes, estimating travel costs, and planning stops. Learn how to use distance tables and identify locations on a specific route.

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