CONNECT: Areas, Perimeters

Save this PDF as:

Size: px
Start display at page:

Transcription

1 CONNECT: Areas, Perimeters 1. AREAS OF PLANE SHAPES A plane figure or shape is a two-dimensional, flat shape. Here are 3 plane shapes: All of them have two dimensions that we usually call length and width (or sometimes height). Plane shapes do not have thickness, which means we can draw them on paper. The amount of space inside each shape or the amount of space each figure occupies is called the area of that shape. Units to measure area When you hear the word area, you may think of school maths when you had to find the area of different shapes, mostly rectangles and squares. But we can actually find the area of ANY shape, even the strange one above. To do this we firstly need to think about the basic unit of area. Try to think of a small shape that, if it was repeated over and over again, perhaps turned upside down or back-to-front, would cover each of the shapes above. Using a shape like this is called tessellating and examples can be found in patchwork, tiling, mosaics and mosques. Designs range from simple to ornate and can be very attractive. I have copied some examples over the page. 1

2 Retrieved January 22, 2013 from and Retrieved January 22, 2013 from and But what if we need to compare the areas of our shapes on the first page? Say we want to cover them all perhaps or, even worse these are the shapes of your late great aunt s farm paddocks and she has left them to the family who is going to get the biggest share?! The small shape that has been accepted throughout the world for tessellating to determine areas is the square. In the Metric System of measurement, the unit of length is the metre and so for area, the unit is the square metre written as m 2. Smaller measures are given in square centimetres (cm 2 ) or even smaller square millimetres (mm 2 ) and large measures are given in hectares (ha). Note that ha doesn t have the superscript 2 as it is already a square unit 1ha measures an area 100m by 100m, that is, 1ha = m 2. 2

3 100m 100m 1ha To be able to work out the areas of the shapes above, we could draw a grid of squares on each shape and count them. (We would need to approximate for the irregular shapes.) The area of any rectangle With regular shapes, the area is more straightforward. To find the area of this rectangle, we can cover it with a grid of squares with length 1cm and width 1cm, that is they are each square centimetres (1cm 2 ), and count them. In this rectangle, there are 12 square centimetres, so its area is 12 cm 2. Is there a faster way to find the area of this rectangle? Yes! We know that the rectangle is 6cm long and 2cm wide, so we can fit two rows each of 6 centimetre squares in the complete rectangle. So, its area is 12cm 2. We can also calculate this as 6cm x 2cm = 12 cm 2. We can generalise this with a formula. If we let the length of the rectangle be l units and the width of the rectangle be w units, then to calculate the area (A units 2 ) we multiply the length by the width and so we have: A = l x w units 2 3

4 We can apply this formula to any rectangle as long as we know its dimensions (the size of its length and width). You may have seen this formula before, using b (represents breadth) instead of w width and breadth are the same and in this case, the area would be A = l b units 2. Both formulas give the same result. To find the area of the rectangle given above, we know that l = 6cm and w = 2cm, so A = 6cm x 2cm = 12 cm 2. To find the area of any rectangle, the dimensions must be measured using the same unit such as centimetres, kilometres and so on. We cannot find the area of a rectangle where the length is given in kilometres and the width is in metres, for example, we must convert one of those measures to the other. The following diagrams are not drawn to scale. See if you can find the area of each rectangle. You can check your results with the solutions at the end of this resource cm 11mm 1.5cm 4.2cm Areas of other shapes What about triangles? Can you see that the area of one of the triangles formed is half the area of the whole rectangle? So we can say its area is 6cm 2 straight away. 4

5 But what about this one? We could do this: Now we have 2 triangles that are both half their respective rectangles in area. So the area of the complete triangle is 2 cm 2 (for the one on the left) + 4 cm 2 (for the one on the right) which makes 6 cm 2. Here is the formula for the area of a triangle you might remember it from school. With a triangle, we ll refer to the length (of the rectangle) as the base of the triangle and the width (of the rectangle) as the height of the triangle. height base The area of a triangle is given by half the area of a rectangle, so the area is given by A = ½ x b x h units 2, where A units 2 represents the area of the triangle, b units represents the length of the base of the triangle and h units represents the height of the triangle. The height of the triangle must be at right angles to the base of the triangle and the units of measure must be the same. 5

6 Example: Find the area of this triangle. 8.5cm 15cm The area is ½ x 15cm x 8.5cm = 63.75cm 2. Find the area of this triangle: 17mm 6.9mm Notice that in this triangle, the base has to be extended so that we can draw a height at right angles to it. The area can still be calculated in the same way, though. So the area = ½ x 17mm x 6.9mm = 58.65mm 2 Here are some for you to try. You can check your results with the solutions at the end. Calculate the areas of these triangles (the diagrams are not drawn to scale): km 65km 6

7 m 10.1m What about circles? If we know the size of the radius of a circle, we can work out the area. Diagram retrieved 22 January 2013 from The radius is any line joining the centre of the circle to the circumference and is half the diameter. If we let r units be the length of the radius, then the area (given by A units 2 ) is A = πr 2 units 2 π is a Greek letter (pronounced pie in Australia) and is always the same number. It is the answer when you divide the length of the circumference of a circle by the length of the diameter of that circle. It is always and can be calculated correctly to many decimal places. If you use a calculator when you work with π, your answer will always be accurate and you will need to round it as it will contain many decimal places. 7

8 When you want to calculate using A = πr 2, you type π in your calculator (often you need to use the Shift key) followed by x, then the radius followed by x 2, and =. Example: Calculate the area of this circle, correct to 3 decimal places. Area = πr 2 In this circle, the radius is 5cm long, so r = 5cm, and the area is πr 2 = π 5 2 cm 2 = cm cm 2 (rounded to 3 decimal places) Here are two for you to try. Remember, if you are given a diameter instead of a radius, you need to calculate half of it (to work out the radius) before calculating the area. (The diagrams are not to scale.) Calculate the area of each of the following circles:

9 Converting between square units 11mm 4.2cm This rectangle was one of the questions from page 4, where you were required to find its area. In the solutions, I changed the centimetre measurements into mm and calculated the area in mm 2. The area is 462mm 2. Now I m going to calculate the area using cm 2 answers. and we will compare our First, change 11mm to cm, by dividing by 10, so 11mm = cm, = 1.1cm. Area = 4.2cm x 1.1cm = 4.62cm 2 Is this what you expected? The area in mm 2 is 100 times as big as the area in cm 2. This is because we are no longer dealing with one dimension (length) where 1cm = 10mm, but with 2 dimensions (length and width): 10mm 10mm 1cm 2 So, 1cm 2 = 100mm 2 In the same way, 1m 2 = 100cm x 100cm = 10000cm 2 and 1km 2 = 1000m x 1000m = m 2 9

10 Here is an example: I have measured a space for a small window in cm 2, but the builder needs the measurement in mm 2. My measurement was 3 600cm 2. What should I tell the builder? 1cm 2 = 100mm 2, so 3 600cm 2 = x 100mm 2 = mm 2 A second example: I have measured a block of land in m 2 but would like to know how many hectares this is. My measurement is m 2. I have put the solution at the end. If you need help with any of the Maths covered in this resource (or any other Maths topics), you can make an appointment with Learning Development through Reception: phone (02) , or Level 3 (top floor), Building 11, or through your campus. 10

11 Solutions Areas of rectangles, (page 4) cm 1.5cm Area = 3.7cm x 1.5cm = 5.55cm mm 4.2cm To deal with this rectangle, we must make sure both measurements are in the same unit. It is probably easier to make them both mm, so 4.2cm = 4.2 x 10mm, that is 42mm. Now the area is found using the formula. Area = 42mm x 11mm = 462mm 2 (If you calculated the area in cm 2, please see page 9.) 11

12 Areas of triangles (page 6, 7) km 65km Area = ½ x 65km x 8.8km = 286km m 10.1m Area = ½ x 14.1m x 10.1m = m 2 Areas of circles (page 8) 1. Area = π 4 2 cm 2 = cm cm 2 (rounded to 3 decimal places) 12

13 2. Firstly, we are given the diameter instead of the radius, so we must find half of 38cm to get the length of the radius. (38 2 = 19). So the area is Area = π 19 2 cm 2 = cm cm 2 (rounded to 3 decimal places) Converting between square units (page 10) 1ha = m 2 The measurement is m 2. How many lots of m 2 are in m 2? We need to divide by to find the number of ha, and obtain 4.25ha. 13

CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 1. VOLUMES OF SOLIDS A solid is a three-dimensional (3D) object, that is, it has length, width and height. One of these dimensions is sometimes called thickness or depth.

Calculating Area, Perimeter and Volume

Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly

FROM THE SPECIFIC TO THE GENERAL

CONNECT: Algebra FROM THE SPECIFIC TO THE GENERAL How do you react when you see the word Algebra? Many people find the concept of Algebra difficult, so if you are one of them, please relax, as you have

Granby Primary School Year 5 & 6 Supporting your child with maths A handbook for year 5 & 6 parents H M Hopps 2016 G r a n b y P r i m a r y S c h o o l 1 P a g e Many parents want to help their children

Convert between units of area and determine the scale factor of two similar figures.

CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of

Dŵr y Felin Comprehensive School. Perimeter, Area and Volume Methodology Booklet

Dŵr y Felin Comprehensive School Perimeter, Area and Volume Methodology Booklet Perimeter, Area & Volume Perimeters, Area & Volume are key concepts within the Shape & Space aspect of Mathematics. Pupils

Functional Skills Mathematics

Functional Skills Mathematics Level Learning Resource Perimeter and Area MSS1/L.7 Contents Perimeter and Circumference MSS1/L.7 Pages 3-6 Finding the Area of Regular Shapes MSS1/L.7 Page 7-10 Finding the

CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 2. SURFACE AREAS OF SOLIDS If you need to know more about plane shapes, areas, perimeters, solids or volumes of solids, please refer to CONNECT: Areas, Perimeters 1. AREAS

CALCULATING THE AREA OF A FLOWER BED AND CALCULATING NUMBER OF PLANTS NEEDED

This resource has been produced as a result of a grant awarded by LSIS. The grant was made available through the Skills for Life Support Programme in 2010. The resource has been developed by (managers

AREA. AREA is the amount of surface inside a flat shape. (flat means 2 dimensional)

AREA AREA is the amount of surface inside a flat shape. (flat means 2 dimensional) Area is always measured in units 2 The most basic questions that you will see will involve calculating the area of a square

CONNECT: Algebra. 3x = 20 5 REARRANGING FORMULAE

CONNECT: Algebra REARRANGING FORMULAE Before you read this resource, you need to be familiar with how to solve equations. If you are not sure of the techniques involved in that topic, please refer to CONNECT:

Basic Math for the Small Public Water Systems Operator

Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the

Working in 2 & 3 dimensions Revision Guide

Tips for Revising Working in 2 & 3 dimensions Make sure you know what you will be tested on. The main topics are listed below. The examples show you what to do. List the topics and plan a revision timetable.

Circumference and area of a circle

c Circumference and area of a circle 22 CHAPTER 22.1 Circumference of a circle The circumference is the special name of the perimeter of a circle, that is, the distance all around it. Measure the circumference

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

Area Long-Term Memory Review Review 1

Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 1. Chapter 5. Working with shape and space

EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 1 Chapter 5 Working with shape and space SECTION H 1 Calculating perimeter 86 2 Calculating area 87 3 Calculating volume 89 4 Angles 91 5 Line symmetry 92 6

Perimeter is the length of the boundary of a two dimensional figure.

Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose

Tallahassee Community College PERIMETER

Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides

The Area is the width times the height: Area = w h

Geometry Handout Rectangle and Square Area of a Rectangle and Square (square has all sides equal) The Area is the width times the height: Area = w h Example: A rectangle is 6 m wide and 3 m high; what

Developing Conceptual Understanding of Number. Set J: Perimeter and Area

Developing Conceptual Understanding of Number Set J: Perimeter and Area Carole Bilyk cbilyk@gov.mb.ca Wayne Watt wwatt@mts.net Perimeter and Area Vocabulary perimeter area centimetres right angle Notes

Characteristics of the Four Main Geometrical Figures

Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.

Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area. Determine the area of various shapes Circumference

1 P a g e Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area Lesson Topic I Can 1 Area, Perimeter, and Determine the area of various shapes Circumference Determine the perimeter of various

Section 7.2 Area. The Area of Rectangles and Triangles

Section 7. Area The Area of Rectangles and Triangles We encounter two dimensional objects all the time. We see objects that take on the shapes similar to squares, rectangle, trapezoids, triangles, and

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 5. Working with shape and space

EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 5 Working with shape and space SECTION H 1 Perimeter 75 2 Area 77 3 Volume 79 4 2-D Representations of 3-D Objects 81 5 Remember what you have learned

Number & Place Value. Addition & Subtraction. Digit Value: determine the value of each digit. determine the value of each digit

Number & Place Value Addition & Subtraction UKS2 The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value

Geometry - Calculating Area and Perimeter

Geometry - Calculating Area and Perimeter In order to complete any of mechanical trades assessments, you will need to memorize certain formulas. These are listed below: (The formulas for circle geometry

The GED math test gives you a page of math formulas that

Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding

PERIMETERS AND AREAS

PERIMETERS AND AREAS 1. PERIMETER OF POLYGONS The Perimeter of a polygon is the distance around the outside of the polygon. It is the sum of the lengths of all the sides. Examples: The perimeter of this

Areas of Polygons. Goal. At-Home Help. 1. A hockey team chose this logo for their uniforms.

-NEM-WBAns-CH // : PM Page Areas of Polygons Estimate and measure the area of polygons.. A hockey team chose this logo for their uniforms. A grid is like an area ruler. Each full square on the grid has

Q1. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral.

Q1. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral. Your quadrilateral must have an area of 24 cm 2 and a perimeter of 26 cm. Page 1 of

Calculating Perimeter

Calculating Perimeter and Area Formulas are equations used to make specific calculations. Common formulas (equations) include: P = 2l + 2w perimeter of a rectangle A = l + w area of a square or rectangle

Geometry Notes VOLUME AND SURFACE AREA

Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate

Perimeter of Triangle = Sum of all Sides Perimeter of Triangle = Side + Side + Side

Chapter 11 Perimeter As a present, your parents have bought you a pet, a small puppy for you to play with and take care of. For the first few weeks it is quite content living inside the house with the

Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8).

: Autumn 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required

LEFT HAND SIDE = RIGHT HAND SIDE

SIPLE FORULA What is a formula? When you do a calculation, you might add numbers together, subtract numbers, multiply or divide them. Take addition as an example: 7 + 45 = 82 Two given numbers added together

16 Circles and Cylinders

16 Circles and Cylinders 16.1 Introduction to Circles In this section we consider the circle, looking at drawing circles and at the lines that split circles into different parts. A chord joins any two

Circumference and Area of a Circle

Overview Math Concepts Materials Students explore how to derive pi (π) as a ratio. Students also study the circumference and area of a circle using formulas. numbers and operations TI-30XS MultiView two-dimensional

Calculating the Surface Area of a Cylinder

Calculating the Measurement Calculating The Surface Area of a Cylinder PRESENTED BY CANADA GOOSE Mathematics, Grade 8 Introduction Welcome to today s topic Parts of Presentation, questions, Q&A Housekeeping

LESSON 10 GEOMETRY I: PERIMETER & AREA

LESSON 10 GEOMETRY I: PERIMETER & AREA INTRODUCTION Geometry is the study of shapes and space. In this lesson, we will focus on shapes and measures of one-dimension and two-dimensions. In the next lesson,

9 Area, Perimeter and Volume

9 Area, Perimeter and Volume 9.1 2-D Shapes The following table gives the names of some 2-D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right

Q1. Here is a flag. Calculate the area of the shaded cross. Q2. The diagram shows a right-angled triangle inside a circle.

Q1. Here is a flag. Calculate the area of the shaded cross. 2 marks Q2. The diagram shows a right-angled triangle inside a circle. The circle has a radius of 5 centimetres. Calculate the area of the triangle.

Geometry Chapter 9 Extending Perimeter, Circumference, and Area

Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Target (LT-1) Solve problems involving the perimeter and area of triangles

The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2

The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2 s s rectangle: A = l w parallelogram: A = b h h b triangle:

Trades Math Practice Test and Review

Trades Math Practice Test and Review This material is intended as a review only. To help prepare for the assessment, the following resources are also available:. online review material (free of charge)

Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 1. Chapter 5. Working with shape and space

Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 1 Chapter 5 Working with shape and space SECTION H 1 Calculating perimeter 2 Calculating area 3 Calculating volume 4 Angles

Geometry Chapter 9 Extending Perimeter, Circumference, and Area

Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Targets LT9-1: Solve problems involving the perimeter and area of

GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book

GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas

Finding Volume of Rectangular Prisms

MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.

Year 4 (Entry into Year 5) 25 Hour Revision Course Mathematics

Year 4 (Entry into Year 5) 25 Hour Revision Course Mathematics Section 1 Geometry 4 hours ~2~ Shape Properties Any two-dimensional shape made up of straight lines is called a polygon. Although circles

Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in

Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in

Perimeter and Area. Chapter 11 11.1 INTRODUCTION 11.2 SQUARES AND RECTANGLES TRY THESE

PERIMETER AND AREA 205 Perimeter and Area Chapter 11 11.1 INTRODUCTION In Class VI, you have already learnt perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around

Build your skills: Perimeter and area Part 1. Working out the perimeter and area of different shapes

Working out the perimeter and area of different shapes This task has two parts. Part 1 In this part, you can brush up your skills and find out about perimeter and area. Part 2 In the second part, you can

Within each area, these outcomes are broken down into more detailed step-by-step learning stages for each of the three terms.

MATHEMATICS PROGRAMME OF STUDY COVERAGE all topics are revisited several times during each academic year. Existing learning is consolidated and then built upon and extended. Listed below are the end of

Curriculum overview for Year 1 Mathematics

Curriculum overview for Year 1 Counting forward and back from any number to 100 in ones, twos, fives and tens identifying one more and less using objects and pictures (inc number lines) using the language

MODULE FRAMEWORK EN ASSESSMENT SHEET

MODULE FRAMEWORK EN ASSESSMENT SHEET LEARNING OUTCOMES (LOS) ASSESSMENT STANDARDS (ASS) FORMATIVE ASSESSMENT ASs Pages and (mark out of 4) LOs (ave. out of 4) SUMMATIVE ASSESSMENT Tasks or tests Ave for

Junior Math Circles November 18, D Geometry II

1 University of Waterloo Faculty of Mathematics Junior Math Circles November 18, 009 D Geometry II Centre for Education in Mathematics and Computing Two-dimensional shapes have a perimeter and an area.

CALCULATING PERIMETER. WHAT IS PERIMETER? Perimeter is the total length or distance around a figure.

CALCULATING PERIMETER WHAT IS PERIMETER? Perimeter is the total length or distance around a figure. HOW DO WE CALCULATE PERIMETER? The formula one can use to calculate perimeter depends on the type of

Revision Notes Adult Numeracy Level 1

Revision Notes Adult Numeracy Level 1 Numbers The number 5 703 428 has been entered into a table. It shows the value of each column. The 7 is in the hundred thousands column The 0 cannot be missed out

Year 3 End of year expectations

Number and Place Value Count in 4s, 8s, 50s and 100s from any number Read and write numbers up to 1000 in numbers and words Compare and order numbers up to 1000 Recognise the place value of each digit

AUTUMN UNIT 3. first half. Perimeter. Centimetres and millimetres. Metres and centimetres. Area. 3D shapes PART 3 MEASURES AND PROPERTIES OF SHAPES

PART AUTUMN first half MEASURES AND PROPERTIES OF SHAPES SECTION Perimeter SECTION Centimetres and millimetres SECTION Metres and centimetres SECTION Key Stage National Strategy CROWN COPYRIGHT 00 Area

LESSON SUMMARY. Measuring Shapes

LESSON SUMMARY CXC CSEC MATHEMATICS UNIT SIX: Measurement Lesson 11 Measuring Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 (Some helpful exercises and page numbers are given

Year 6 Maths Objectives

Year 6 Maths Objectives Place Value COUNTING COMPARING NUMBERS IDENTIFYING, REPRESENTING & ESTIMATING NUMBERS READING & WRITING NUMBERS UNDERSTANDING PLACE VALUE ROUNDING PROBLEM SOLVING use negative numbers

Dyffryn School Ysgol Y Dyffryn Mathematics Faculty

Dyffryn School Ysgol Y Dyffryn Mathematics Faculty Formulae and Facts Booklet Higher Tier Number Facts Sum This means add. Difference This means take away. Product This means multiply. Share This means

Marie has a winter hat made from a circle, a rectangular strip and eight trapezoid shaped pieces. y inches. 3 inches. 24 inches

Winter Hat This problem gives you the chance to: calculate the dimensions of material needed for a hat use circle, circumference and area, trapezoid and rectangle Marie has a winter hat made from a circle,

Paper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date

Ma KEY STAGE 3 Year 9 mathematics test Tier 5 7 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write

Basic Garden Math. This document is organized into the following sections:

Basic Garden Math Gardening is an activity which occasionally requires the use of math, such as when you are computing how much fertilizer to use or how much compost to buy. Luckily, the math involved

Unit #10 Volume and Surface Area

10.0 Unit Preview Unit #10 Volume and Surface Area By the end of this unit I should be able to: Determine the volume of any right angled prism Determine the surface area of any right angled prism Determine

Shape, space and measures 1

Shape, space and measures 1 contents There are three lessons in this unit, Shape, space and measures 1. S1.1 Lines, length and perimeter 3 S1.2 Area of a rectangle 6 S1.3 Solving problems 9 Resource sheets

I Perimeter, Area, Learning Goals 304

U N I T Perimeter, Area, Greeting cards come in a variety of shapes and sizes. You can buy a greeting card for just about any occasion! Learning Goals measure and calculate perimeter estimate, measure,

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space

Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 5 Shape and space SECTION H 1 Perimeter 2 Area 3 Volume 4 2-D Representations of 3-D Objects 5 Remember what you

Circumference of a Circle

Circumference of a Circle A circle is a shape with all points the same distance from the center. It is named by the center. The circle to the left is called circle A since the center is at point A. If

DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation

A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal

Paper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date

Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write

Chapter 1 Measurement

Chapter 1 Measurement Math 1201 1 Chapter 1 Measurement Sections 1.1-1.3: Goals: Converting between imperial units by unit analysis Converting between SI units Converting between SI and imperial units

Name Revision Sheet 1

Name Revision Sheet 1 1 What is 8? Show your working 11 Solve the equation y 1 Round 79 to the nearest 10. 1 Expand ( x 1 0 ) Use BIDMAS to work out 5 1 How many lines of symmetry does a square have? 1

Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)

Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.

Oral and Mental calculation

Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths and hundredths and know what each digit represents. Order and compare

Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

Name: Class: Date: Geometry Chapter 3 Review

Name: Class: Date: ID: A Geometry Chapter 3 Review. 1. The area of a rectangular field is 6800 square meters. If the width of the field is 80 meters, what is the perimeter of the field? Draw a diagram

Lesson 21. Circles. Objectives

Student Name: Date: Contact Person Name: Phone Number: Lesson 1 Circles Objectives Understand the concepts of radius and diameter Determine the circumference of a circle, given the diameter or radius Determine

Add and subtract 1-digit and 2-digit numbers to 20, including zero. Measure and begin to record length, mass, volume and time

Year 1 Maths - Key Objectives Count to and across 100 from any number Count, read and write numbers to 100 in numerals Read and write mathematical symbols: +, - and = Identify "one more" and "one less"

CARPENTRY MATH ASSESSMENT REVIEW

CARPENTRY MATH ASSESSMENT REVIEW This material is intended as a review. The following Learning Centres have more resources available to help you prepare for your assessment Nanaimo ABE Learning Centre:

Surface Area Quick Review: CH 5

I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find

Lesson 6. Unit 3. Building with Blocks. Area

Math 5 Lesson 6 Area Building with Blocks Lian is making a fort for her action figures out of building blocks. She has 42 cm blocks. She wants to have the largest area possible. How can she arrange her

The Measurement of Area

The Measurement of Area a h Area = ½(a+b) h b Area = ½b h b h 2000 Andrew Harris Area 1 2000 Andrew Harris Contents Defining Area 3 Progression in Learning about Area 3 1. Pre-measurement Experiences 3

Pizza! Pizza! Assessment

Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the

Measurements 1. BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com. In this section we will look at. Helping you practice. Online Quizzes and Videos

BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Measurements 1 In this section we will look at - Examples of everyday measurement - Some units we use to take measurements - Symbols for units and converting

Imperial Length Measurements

Unit I Measuring Length 1 Section 2.1 Imperial Length Measurements Goals Reading Fractions Reading Halves on a Measuring Tape Reading Quarters on a Measuring Tape Reading Eights on a Measuring Tape Reading

Area and Perimeter. Practice: Find the perimeter of each. Square with side length of 6 cm. Rectangle with side lengths of 4 cm and 7 cm

Area and Perimeter Perimeter: add up all the sides (the outside of the polygon) Practice: Find the perimeter of each Square with side length of 6 cm Rectangle with side lengths of 4 cm and 7 cm Parallelogram

Lesson 22. Circumference and Area of a Circle. Circumference. Chapter 2: Perimeter, Area & Volume. Radius and Diameter. Name of Lecturer: Mr. J.

Lesson 22 Chapter 2: Perimeter, Area & Volume Circumference and Area of a Circle Circumference The distance around the edge of a circle (or any curvy shape). It is a kind of perimeter. Radius and Diameter

Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. 2 marks.

Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. Page 1 of 16 Q2. Liam has two rectangular tiles like this. He makes this L shape. What is

CHAPTER 27 AREAS OF COMMON SHAPES

EXERCISE 113 Page 65 CHAPTER 7 AREAS OF COMMON SHAPES 1. Find the angles p and q in the diagram below: p = 180 75 = 105 (interior opposite angles of a parallelogram are equal) q = 180 105 0 = 35. Find

Integrated Algebra: Geometry

Integrated Algebra: Geometry Topics of Study: o Perimeter and Circumference o Area Shaded Area Composite Area o Volume o Surface Area o Relative Error Links to Useful Websites & Videos: o Perimeter and