This document provides information and examples about calculating area for different shapes. It defines area as the quantity that expresses the extent of a two-dimensional figure. It then gives formulas and examples for calculating the area of squares, rectangles, parallelograms, triangles, trapezoids, and circles. It concludes with examples of word problems involving calculating area to solve for missing dimensions. The key information provided includes formulas for area of common shapes and examples of applying the formulas to calculate areas and solve multi-step word problems.
This document contains information about calculating volumes and surface areas of 3D shapes such as cubes, cuboids, cylinders and prisms. It includes examples of calculating volumes of cuboids and prisms using the formula: Volume = Area of cross-section x Height. Surface area formulas are also provided for cubes, cuboids, cylinders and triangular prisms. Worked examples are given to demonstrate calculating surface areas and volumes. Confidence levels (red, amber or green) are requested to be written after examples to indicate understanding.
This document contains information about calculating volumes and surface areas of 3D shapes such as cubes, cuboids, cylinders and prisms. It provides examples of calculating volumes of cuboids using the formula Volume = Length x Width x Height. The surface area formulas for cubes, cuboids, cylinders and prisms are also explained. Practice questions are included for calculating volumes and surface areas with answers provided.
This document provides an entry activity on calculating area. It includes key words and definitions for area, perimeter, shapes like rectangles, squares, triangles, and parallel lines. It then outlines learning objectives on calculating area of squares, rectangles, triangles and compound shapes at different levels. Sample problems are provided for each level along with progress sheets to check off objectives and practice questions to calculate area of various shapes.
This document provides instructions for calculating the area of rectangles and polygons made up of rectangles. It defines area as the space a shape takes up, measured in square units. The key formula provided is that the area of a rectangle equals its length multiplied by its breadth. Several examples are given of using this formula to find the areas of individual rectangles and composite shapes by splitting them into rectangles and adding the individual areas. The document encourages practicing calculating areas of various rectangle shapes.
The document discusses teaching concepts related to shape and space for Year 4, including:
1. Two-dimensional shapes and calculating their perimeter and area, such as squares, rectangles, and triangles.
2. Three-dimensional shapes like cubes and cuboids, and calculating their volume.
3. Key formulas for calculating perimeter, area, and volume of different shapes. Examples of problems are provided to help teach these concepts.
The document introduces basic geometry concepts like area of squares and rectangles. It explains that to find the area of a square or rectangle, you multiply the length by the width. It provides examples of calculating areas of different shapes and has interactive exercises for students to practice finding areas. Finally, it discusses why understanding area is important and has students calculate areas of objects in the classroom.
A brilliant for YR 10 and YR 11 GCSE students studying volume and surface area in class also very good for revising when coming up to assessments or mock examinations.
1) The document provides instructions and content for a math lesson on relating the side lengths of rectangles to their area when measured using square tiles.
2) Students practice counting square units in sample rectangles and building rectangles from square tiles with given side lengths (e.g. 3 by 5).
3) A key point taught is that the area of a rectangle, measured in square units of the tiles used (inches or centimeters), can be calculated by multiplying the number of tiles on one side by the number on the other side.
The document provides information about calculating the areas of different shapes using squares or square units. It includes examples of finding the areas of rectangles, triangles, letters of the alphabet, and irregular shapes by counting whole and half squares. Various area formulas are presented, such as Area = length x breadth. Word problems demonstrate calculating areas of real-world objects like fields, stadiums, and ponds.
This document provides instruction on calculating the areas of various plane figures including rectangles, squares, parallelograms, triangles, trapezoids, and circles. It begins by explaining that the area of a plane figure is the number of square units contained within the figure. It then provides examples of calculating areas of rectangles and squares using the formulas A=lw for rectangles and A=s^2 for squares. The document also explains how to calculate the areas of parallelograms using the formula A=bh, and triangles using the formula A=1/2bh. Students are given practice problems to solve involving finding areas of various plane figures.
Area is measured in square units and refers to the amount of surface space a flat object has. There are formulas to calculate the area of basic plane figures like squares, rectangles, triangles, circles, and composite figures that are made up of multiple shapes. To find the area of a composite figure, you break it into its component shapes, calculate the individual areas, and add them together. The document provides examples of using formulas to find the areas of various plane figures and composite shapes.
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
This document discusses how to calculate the perimeter and area of squares and rectangles.
The perimeter of a square is calculated by multiplying the length of one side by 4. The area of a square is calculated by multiplying the length of one side by itself.
The perimeter of a rectangle is calculated by adding the length and width and multiplying by 2. The area of a rectangle is calculated by multiplying the length by the width.
Several examples are provided calculating the perimeter and area of squares with side lengths of 9cm and 5cm and rectangles with dimensions of 4cm by 6cm and 6cm by 8cm.
1) The document provides guidance on solving problems involving the area and perimeter of rectangles using different methods like counting squares, using the formula of length x width, or adding all the side lengths.
2) It gives examples of applying these methods to calculate the area of classroom floors to determine how much carpet is needed, or the perimeter to find the length of edging/skirting board required.
3) Key aspects to look for include word clues that indicate if the question is asking for area or perimeter, and identifying the relevant length and width values provided in the problem. Calculating the area or perimeter then involves using the appropriate method based on the information given.
The document discusses calculating the area of rectangles and irregular shapes. It explains that area is measured in square units like square centimeters and square meters. To find the area of a rectangle, you multiply its length by its width. For irregular shapes, you split the shape into multiple rectangles, calculate the area of each, and add them together to find the total area.
The document discusses concepts of area and perimeter. It defines area as the size of a surface and perimeter as the distance around a shape. It provides formulas for calculating the area of simple shapes like rectangles. The area of a rectangle is calculated by multiplying its length by its breadth. The document includes an example of calculating the area of a rectangle that is 5cm in length and 3cm in breadth, which equals 15cm2. It emphasizes that length and breadth units must be the same for the area calculation to be correct.
Area is the measure of the surface enclosed by a shape, while perimeter is the measure of the distance around a shape. The document provides examples of calculating area and perimeter for different shapes by multiplying length by width for area and adding up the sides for perimeter. It also includes practice problems and checks of calculations for area and perimeter.
Surface Area_Volume of Solid Figures.pptLuisSalenga1
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The document provides information about calculating the surface area of cylinders and cones. It begins by defining a cylinder and its components. It then derives the formula for the surface area of a cylinder by imagining unrolling the cylinder surface. The formula is presented as SA=2Ï€r(r+h). An example problem applying this formula is shown. Methods for finding the surface area of cones are also presented, with the formula given as the area of the base plus the lateral area. Several examples problems demonstrate applying the surface area formulas for cylinders and cones.
This document contains information about areas and perimeters of different shapes. It includes:
1) Definitions of area as the space inside a shape's boundary and perimeter as the distance around the outside edge.
2) Examples of calculating the areas of squares and rectangles using side lengths and formulas.
3) Worked examples finding the areas of different shapes on grid paper by counting the number of squares covered.
The document discusses concepts of area and perimeter. It defines area as the size of a surface and perimeter as the distance around a shape. It provides formulas for calculating the area of rectangles and squares. For rectangles, the area is calculated by multiplying length by breadth. For squares, the area is calculated by squaring the length of a side. Several examples are provided to demonstrate calculating areas of different shapes using the appropriate formulas.
The document discusses visualizing the area of different shapes including rectangles, triangles, squares, and circles. It provides examples of counting the number of square units in various geometric figures and encouraging interactive activities like drawing shapes based on given dimensions. Students are asked to find the length, width, and total area of rectangles and squares.
This document contains information about calculating the area and perimeter of different shapes such as rectangles, squares, and examples of applying these formulas. It defines that the area of a rectangle is length x breadth, and the perimeter is 2 x (length + breadth). The same formulas apply to squares but with all sides being equal. Several word problems demonstrate calculating the area and perimeter of rectangles and finding the number of tiles needed to cover a courtyard.
To find the perimeter and area of irregular shapes, the document explains breaking the shape into regular components and calculating their individual perimeters and areas. The perimeter is the distance around a shape found by adding all side lengths. Area is the space within a shape, found by breaking irregular shapes into rectangles, triangles, squares and calculating their individual areas. An example calculates the perimeter as 46 cm and area as 105 sq cm for a shape broken into a rectangle and square.
A brilliant for YR 10 and YR 11 GCSE students studying volume and surface area in class also very good for revising when coming up to assessments or mock examinations.
1) The document provides instructions and content for a math lesson on relating the side lengths of rectangles to their area when measured using square tiles.
2) Students practice counting square units in sample rectangles and building rectangles from square tiles with given side lengths (e.g. 3 by 5).
3) A key point taught is that the area of a rectangle, measured in square units of the tiles used (inches or centimeters), can be calculated by multiplying the number of tiles on one side by the number on the other side.
The document provides information about calculating the areas of different shapes using squares or square units. It includes examples of finding the areas of rectangles, triangles, letters of the alphabet, and irregular shapes by counting whole and half squares. Various area formulas are presented, such as Area = length x breadth. Word problems demonstrate calculating areas of real-world objects like fields, stadiums, and ponds.
This document provides instruction on calculating the areas of various plane figures including rectangles, squares, parallelograms, triangles, trapezoids, and circles. It begins by explaining that the area of a plane figure is the number of square units contained within the figure. It then provides examples of calculating areas of rectangles and squares using the formulas A=lw for rectangles and A=s^2 for squares. The document also explains how to calculate the areas of parallelograms using the formula A=bh, and triangles using the formula A=1/2bh. Students are given practice problems to solve involving finding areas of various plane figures.
Area is measured in square units and refers to the amount of surface space a flat object has. There are formulas to calculate the area of basic plane figures like squares, rectangles, triangles, circles, and composite figures that are made up of multiple shapes. To find the area of a composite figure, you break it into its component shapes, calculate the individual areas, and add them together. The document provides examples of using formulas to find the areas of various plane figures and composite shapes.
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
This document discusses how to calculate the perimeter and area of squares and rectangles.
The perimeter of a square is calculated by multiplying the length of one side by 4. The area of a square is calculated by multiplying the length of one side by itself.
The perimeter of a rectangle is calculated by adding the length and width and multiplying by 2. The area of a rectangle is calculated by multiplying the length by the width.
Several examples are provided calculating the perimeter and area of squares with side lengths of 9cm and 5cm and rectangles with dimensions of 4cm by 6cm and 6cm by 8cm.
1) The document provides guidance on solving problems involving the area and perimeter of rectangles using different methods like counting squares, using the formula of length x width, or adding all the side lengths.
2) It gives examples of applying these methods to calculate the area of classroom floors to determine how much carpet is needed, or the perimeter to find the length of edging/skirting board required.
3) Key aspects to look for include word clues that indicate if the question is asking for area or perimeter, and identifying the relevant length and width values provided in the problem. Calculating the area or perimeter then involves using the appropriate method based on the information given.
The document discusses calculating the area of rectangles and irregular shapes. It explains that area is measured in square units like square centimeters and square meters. To find the area of a rectangle, you multiply its length by its width. For irregular shapes, you split the shape into multiple rectangles, calculate the area of each, and add them together to find the total area.
The document discusses concepts of area and perimeter. It defines area as the size of a surface and perimeter as the distance around a shape. It provides formulas for calculating the area of simple shapes like rectangles. The area of a rectangle is calculated by multiplying its length by its breadth. The document includes an example of calculating the area of a rectangle that is 5cm in length and 3cm in breadth, which equals 15cm2. It emphasizes that length and breadth units must be the same for the area calculation to be correct.
Area is the measure of the surface enclosed by a shape, while perimeter is the measure of the distance around a shape. The document provides examples of calculating area and perimeter for different shapes by multiplying length by width for area and adding up the sides for perimeter. It also includes practice problems and checks of calculations for area and perimeter.
Surface Area_Volume of Solid Figures.pptLuisSalenga1
Ìý
The document provides information about calculating the surface area of cylinders and cones. It begins by defining a cylinder and its components. It then derives the formula for the surface area of a cylinder by imagining unrolling the cylinder surface. The formula is presented as SA=2Ï€r(r+h). An example problem applying this formula is shown. Methods for finding the surface area of cones are also presented, with the formula given as the area of the base plus the lateral area. Several examples problems demonstrate applying the surface area formulas for cylinders and cones.
This document contains information about areas and perimeters of different shapes. It includes:
1) Definitions of area as the space inside a shape's boundary and perimeter as the distance around the outside edge.
2) Examples of calculating the areas of squares and rectangles using side lengths and formulas.
3) Worked examples finding the areas of different shapes on grid paper by counting the number of squares covered.
The document discusses concepts of area and perimeter. It defines area as the size of a surface and perimeter as the distance around a shape. It provides formulas for calculating the area of rectangles and squares. For rectangles, the area is calculated by multiplying length by breadth. For squares, the area is calculated by squaring the length of a side. Several examples are provided to demonstrate calculating areas of different shapes using the appropriate formulas.
The document discusses visualizing the area of different shapes including rectangles, triangles, squares, and circles. It provides examples of counting the number of square units in various geometric figures and encouraging interactive activities like drawing shapes based on given dimensions. Students are asked to find the length, width, and total area of rectangles and squares.
This document contains information about calculating the area and perimeter of different shapes such as rectangles, squares, and examples of applying these formulas. It defines that the area of a rectangle is length x breadth, and the perimeter is 2 x (length + breadth). The same formulas apply to squares but with all sides being equal. Several word problems demonstrate calculating the area and perimeter of rectangles and finding the number of tiles needed to cover a courtyard.
To find the perimeter and area of irregular shapes, the document explains breaking the shape into regular components and calculating their individual perimeters and areas. The perimeter is the distance around a shape found by adding all side lengths. Area is the space within a shape, found by breaking irregular shapes into rectangles, triangles, squares and calculating their individual areas. An example calculates the perimeter as 46 cm and area as 105 sq cm for a shape broken into a rectangle and square.
UNIT 6 Factoring and Distributing Expressions _2_.pptxAreejAhmed38
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UNIT 6 Factoring and Distributing Expressions _2_.pptx
UNIT 6 Factoring and Distributing Expressions _2_.pptx
UNIT 6 Factoring and Distributing Expressions _2_.pptx
UNIT 6 Factoring and Distributing Expressions _2_.pptx
The document explains the order of operations (PEMDAS) for solving math problems with multiple operations:
1) Perform operations inside parentheses first, from left to right.
2) Evaluate exponents next, from left to right.
3) Multiply and divide from left to right.
4) Add and subtract from left to right.
Several examples are provided to demonstrate how to use PEMDAS to evaluate expressions step-by-step.
Prelims of Rass MELAI : a Music, Entertainment, Literature, Arts and Internet Culture Quiz organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
Database population in Odoo 18 - Odoo slidesCeline George
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In this slide, we’ll discuss the database population in Odoo 18. In Odoo, performance analysis of the source code is more important. Database population is one of the methods used to analyze the performance of our code.
Research & Research Methods: Basic Concepts and Types.pptxDr. Sarita Anand
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This ppt has been made for the students pursuing PG in social science and humanities like M.Ed., M.A. (Education), Ph.D. Scholars. It will be also beneficial for the teachers and other faculty members interested in research and teaching research concepts.
The Constitution, Government and Law making bodies .saanidhyapatel09
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This PowerPoint presentation provides an insightful overview of the Constitution, covering its key principles, features, and significance. It explains the fundamental rights, duties, structure of government, and the importance of constitutional law in governance. Ideal for students, educators, and anyone interested in understanding the foundation of a nation’s legal framework.
How to Configure Restaurants in Odoo 17 Point of SaleCeline George
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Odoo, a versatile and integrated business management software, excels with its robust Point of Sale (POS) module. This guide delves into the intricacies of configuring restaurants in Odoo 17 POS, unlocking numerous possibilities for streamlined operations and enhanced customer experiences.
How to Configure Flexible Working Schedule in Odoo 18 EmployeeCeline George
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In this slide, we’ll discuss on how to configure flexible working schedule in Odoo 18 Employee module. In Odoo 18, the Employee module offers powerful tools to configure and manage flexible working schedules tailored to your organization's needs.
APM event hosted by the South Wales and West of England Network (SWWE Network)
Speaker: Aalok Sonawala
The SWWE Regional Network were very pleased to welcome Aalok Sonawala, Head of PMO, National Programmes, Rider Levett Bucknall on 26 February, to BAWA for our first face to face event of 2025. Aalok is a member of APM’s Thames Valley Regional Network and also speaks to members of APM’s PMO Interest Network, which aims to facilitate collaboration and learning, offer unbiased advice and guidance.
Tonight, Aalok planned to discuss the importance of a PMO within project-based organisations, the different types of PMO and their key elements, PMO governance and centres of excellence.
PMO’s within an organisation can be centralised, hub and spoke with a central PMO with satellite PMOs globally, or embedded within projects. The appropriate structure will be determined by the specific business needs of the organisation. The PMO sits above PM delivery and the supply chain delivery teams.
For further information about the event please click here.
Blind spots in AI and Formulation Science, IFPAC 2025.pdfAjaz Hussain
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The intersection of AI and pharmaceutical formulation science highlights significant blind spots—systemic gaps in pharmaceutical development, regulatory oversight, quality assurance, and the ethical use of AI—that could jeopardize patient safety and undermine public trust. To move forward effectively, we must address these normalized blind spots, which may arise from outdated assumptions, errors, gaps in previous knowledge, and biases in language or regulatory inertia. This is essential to ensure that AI and formulation science are developed as tools for patient-centered and ethical healthcare.
APM People Interest Network Conference 2025
-Autonomy, Teams and Tension: Projects under stress
-Tim Lyons
-The neurological levels of
team-working: Harmony and tensions
With a background in projects spanning more than 40 years, Tim Lyons specialised in the delivery of large, complex, multi-disciplinary programmes for clients including Crossrail, Network Rail, ExxonMobil, Siemens and in patent development. His first career was in broadcasting, where he designed and built commercial radio station studios in Manchester, Cardiff and Bristol, also working as a presenter and programme producer. Tim now writes and presents extensively on matters relating to the human and neurological aspects of projects, including communication, ethics and coaching. He holds a Master’s degree in NLP, is an NLP Master Practitioner and International Coach. He is the Deputy Lead for APM’s People Interest Network.
Session | The Neurological Levels of Team-working: Harmony and Tensions
Understanding how teams really work at conscious and unconscious levels is critical to a harmonious workplace. This session uncovers what those levels are, how to use them to detect and avoid tensions and how to smooth the management of change by checking you have considered all of them.
10. Area of a triangle Base
×
Perpendicular height
2
4 cm
7 cm
9 cm
Area of a triangle Base Perpendicular height
×
4 7
×
14 cm²
11. Can you identify the base
and perpendicular height?
Have a think
The base is along the bottom and the
perpendicular height is up the side
Do you agree with Tiny?
12. Area of a triangle Base Perpendicular height
×
6 cm
14 cm
12 cm
50 mm
100 mm
8 cm
Have a think
13. Area of a triangle Base Perpendicular height
×
6 cm
14 cm
12 cm
50 mm
100 mm
8 cm
12 6
36 cm² 50 8
5 8 20 cm²
50 80
2,000 mm²