# Secondary Catalogue

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- Mathematics

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## Mathematics

### Working with Ratios

Converting units and working out ratios is an integral skill for working in construction. This video explains the mathematical reasoning behind converting units of volume and scaling ratios and how it can be applied to calculate the correct...Show More

Converting units and working out ratios is an integral skill for working in construction. This video explains the mathematical reasoning behind converting units of volume and scaling ratios and how it can be applied to calculate the correct amount of wet and dry materials in a render mixture. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Calculating Volume

An understanding of the volume of spaces is an essential skill for working in construction. This video explains the basic formula for volume and how it can be applied to easily calculate the amount of concrete needed for a house foundation by...Show More

An understanding of the volume of spaces is an essential skill for working in construction. This video explains the basic formula for volume and how it can be applied to easily calculate the amount of concrete needed for a house foundation by breaking down an irregular shape into smaller regular shapes. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Multiplication

There are many applications for multiplication when working in construction. This video explains how multiplication skills can be used to calculate wall areas and the size of covering panels to work out how much material needs to be ordered for...Show More

There are many applications for multiplication when working in construction. This video explains how multiplication skills can be used to calculate wall areas and the size of covering panels to work out how much material needs to be ordered for the job, including an allowance for wastage. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Calculating Perimeter

Calculating the perimeter of a block of land is a crucial skill for working in construction. This video explains the basic formula for perimeter and how it can be applied to calculate the length of fencing required for a construction site, as...Show More

Calculating the perimeter of a block of land is a crucial skill for working in construction. This video explains the basic formula for perimeter and how it can be applied to calculate the length of fencing required for a construction site, as well as calculating the amount of materials to purchase for the job. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Estimating and Quotes

The ability to estimate material quantities and provide quotes is a helpful skill for working in construction. This video explains how to estimate the area and materials needed for a tiling job, incorporating unit conversions, and how to allow...Show More

The ability to estimate material quantities and provide quotes is a helpful skill for working in construction. This video explains how to estimate the area and materials needed for a tiling job, incorporating unit conversions, and how to allow for potential wastage of materials to work out costs Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Calculating Area

Calculating the area of a construction space is an important skill for working on a building site. This video explains the basic formula for area and how it can be applied to easily calculate wall area, incorporating length conversions, and...Show More

Calculating the area of a construction space is an important skill for working on a building site. This video explains the basic formula for area and how it can be applied to easily calculate wall area, incorporating length conversions, and calculating the amount of paint needed for the job. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Floats and Balances

For all retail businesses balancing a cash float at the end of day, strong mathematical skills are crucial. This video explains how to count the cash in a register at the end of the day, including differentiating between different methods of sale...Show More

For all retail businesses balancing a cash float at the end of day, strong mathematical skills are crucial. This video explains how to count the cash in a register at the end of the day, including differentiating between different methods of sale and totalling up different denominations. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Surcharges

Credit and debit cards are so convenient, which means that an understanding of card surcharges is crucial for retail employees. This video explains how different card types may have different surcharges and how a comparison of the actual cost of...Show More

Credit and debit cards are so convenient, which means that an understanding of card surcharges is crucial for retail employees. This video explains how different card types may have different surcharges and how a comparison of the actual cost of purchase can influence a customer’s buying decisions. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Discounts

Understanding the mathematical processes behind discounts is a crucial skill for working in retail. This video explains how basic division and subtraction calculations can be used to complement calculator skills to work out new prices of sale...Show More

Understanding the mathematical processes behind discounts is a crucial skill for working in retail. This video explains how basic division and subtraction calculations can be used to complement calculator skills to work out new prices of sale stock in a skate shop. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Cash Handling

Although technology enables easy and quick cash handling in many retail environments, a sound understanding of simple mathematics remains a helpful skill for working in retail. This video explains how mental maths can be used to ensure that...Show More

Although technology enables easy and quick cash handling in many retail environments, a sound understanding of simple mathematics remains a helpful skill for working in retail. This video explains how mental maths can be used to ensure that customers are given the correct change for their purchases, even when the POS system is unavailable! Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Break Times

Every retail employee should understand how their shifts work and when their breaks are scheduled. This video explains how to use simple mathematics to calculate the length of shift times and when breaks should be taken in order to complete a...Show More

Every retail employee should understand how their shifts work and when their breaks are scheduled. This video explains how to use simple mathematics to calculate the length of shift times and when breaks should be taken in order to complete a timesheet, including times in 12-hour and 24-hour format. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Rostering

Staffing is an enormous expense to hospitality businesses. Smart scheduling and rostering are crucial skills for employees to develop. This video explains how to use mathematical calculations to work out whether rostered staff will be able to...Show More

Staffing is an enormous expense to hospitality businesses. Smart scheduling and rostering are crucial skills for employees to develop. This video explains how to use mathematical calculations to work out whether rostered staff will be able to finish their assigned tasks in time for the next schedule. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but needing to practise their numeracy skills. Show Less

### Stock Calculations

Calculating stock quantities is a critical skill in retail, as it helps to ensure minimal overspending. This video demonstrates the mathematical thinking used to work out how much marketing collateral is needed for a retail marketplace sale...Show More

Calculating stock quantities is a critical skill in retail, as it helps to ensure minimal overspending. This video demonstrates the mathematical thinking used to work out how much marketing collateral is needed for a retail marketplace sale weekend. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the construction industry but needing to practise their numeracy skills. Show Less

### Food Safety and Time Calculations

Following food safety regulations surrounding potentially hazardous foods is an essential skill for working in hospitality. This video explains the mathematical calculations that can be used to work out when food needs to be checked for...Show More

Following food safety regulations surrounding potentially hazardous foods is an essential skill for working in hospitality. This video explains the mathematical calculations that can be used to work out when food needs to be checked for temperature, and when it should be discarded to comply with health and safety regulations. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but needing to practise their numeracy skills. Show Less

### Set Menus

To ensure a successful catering event, the dietary requirements must be included in the function brief. In addition to this, a little bit of mathematical thinking is required. This video demonstrates the thinking processes involved in calculating...Show More

To ensure a successful catering event, the dietary requirements must be included in the function brief. In addition to this, a little bit of mathematical thinking is required. This video demonstrates the thinking processes involved in calculating different quantities of food for a set menu. Exploring multiplication, division, subtraction and percentage calculations, the video contains clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but needing to practise their numeracy skills. Show Less

### Seating Plans

Front of house staff in the hospitality industry are often tasked with organising tables and seating plans for functions and events. This video walks through the mathematical processes involved in assessing various seating configurations to find...Show More

Front of house staff in the hospitality industry are often tasked with organising tables and seating plans for functions and events. This video walks through the mathematical processes involved in assessing various seating configurations to find the most economical way to seat guests at a large function. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but need to practice their numeracy skills. Show Less

### Portioning

Accuracy in estimating and calculating food quantities is a crucial skill for working in the kitchen. This video demonstrates how to calculate the number of portions available from a given jug capacity and volume of gravy. Clean, clear graphics...Show More

Accuracy in estimating and calculating food quantities is a crucial skill for working in the kitchen. This video demonstrates how to calculate the number of portions available from a given jug capacity and volume of gravy. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but need to practice their numeracy skills. Show Less

### Ratio

Working out how to dilute cleaning solutions can be confusing when the units of measurements aren’t all the same. Unit conversion for ratios is an integral skill used in other hospitality contexts, too, both front and back of house. This video...Show More

Working out how to dilute cleaning solutions can be confusing when the units of measurements aren’t all the same. Unit conversion for ratios is an integral skill used in other hospitality contexts, too, both front and back of house. This video demonstrates how to scale liquid ratios to reach the desired volume. Clean, clear graphics show multiple methods and working out to assist learners at every step. A valuable resource for vocational learners interested in joining the hospitality industry but need to practice their numeracy skills. Show Less

### Volume of a Cuboid

Volume and Surface Area of 3D Shapes

The volume of a cuboid is equal to its ‘length’ multiplied by its ‘breadth’ multiplied by its ‘height’.The volume of a cuboid is also equal to the ‘area of its base’ multiplied by its ‘height’.

### Volume of a Cube

Volume and Surface Area of 3D Shapes

A cube is a 3 - dimensional object having all sides of the equal measure. The volume of a cube is equal to its ‘side’ multiplied by its ‘side’ multiplied by its ‘side’, which is equal to ‘side cubed’.

### Angle Sum Property of a Triangle

The sum of the interior angles of a triangle is always equal to 180°.

### Volume of a Sphere

Volume and Surface Area of 3D Shapes

If the radius of a sphere is ‘r’, its volume will be equal to ‘4 divided by 3’ multiplied by ‘πr cubed’.

### Surface Area of a Cuboid

Volume and Surface Area of 3D Shapes

The surface area of a cuboid is equal to ‘2’ multiplied by ‘lb’ plus ‘bh’ plus ‘hl’, where ‘l’, ‘b’ and ‘h’ are its length, breadth and height, respectively.

### Surface Area of a Cylinder

Volume and Surface Area of 3D Shapes

The surface area of a cylinder is equal to 2πr multiplied by ‘(r plus h)’, where ‘r’ and ‘h’ are the radius and height of the cylinder, respectively.

### Area of a General Quadrilatral

To find the area of a quadrilateral, divide the quadrilateral into two triangles and add the areas of the two triangles. Area of a quadrilateral = (1/2)(h1 + h2)d, where d is the diagonal and h1 and h2 are the heights of the two triangles of the...Show More

To find the area of a quadrilateral, divide the quadrilateral into two triangles and add the areas of the two triangles. Area of a quadrilateral = (1/2)(h1 + h2)d, where d is the diagonal and h1 and h2 are the heights of the two triangles of the quadrilateral formed by one of its diagonals. Show Less