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Area and Perimeter KS2
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.
Making Boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Brush Loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Torn Shapes
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Twice as Big?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Area and Perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Ribbon Squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Through the Window
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
Area and Perimeter
The area of a shape is the space inside the shape. Area is measured in squares.
Finding the area of a rectangle
Here is a rectangle drawn on a centimetre grid.
To find the area of a rectangle multiply the length by the width. (We could also count the squares but this will not work from more complex questions)
In this example we have a length of 6cm and a width of 3cm.
Area = length × width Area = 6 × 3 Area = 18 cm 2
The units are cm 2 : one cm 2 is a square that measures 1cm by 1 cm.
Example 1: A rectangle is drawn on a centimetre grid Calculate the area of the rectangle
Area = length × width Area = 5 × 4 Area = 20cm 2
A rectangle is drawn on a centimetre grid. Calculate the area of the rectangle.
Finding the area of a triangle
We can think of a triangle as half of a rectangle
To calculate the area of a triangle we can half the area of a triangle
The area of a triangle = 1 ⁄ 2 × base × height
Example 2: Here is a triangle drawn on a centimetre grid. Calculate the area of the triangle.
Area = 1 ⁄ 2 × base × height Area = 1 ⁄ 2 × 4 × 6 Area = 2 × 6 Area = 12cm 2
Example 3: Calculate the area of the triangle.
For the area calculation we use the perpendicular height (it must be straight up, not diagonal). The height of this triangle is 12 metres.
Area = 1 ⁄ 2 × base × height Area = 1 ⁄ 2 × 8 × 12 Area = 4 × 12 Area = 48m 2
A triangle is drawn on a centimetre grid. Calculate the area of the triangle.
Calculate the area of the triangle.
Finding the area of a parallelogram
A parallelogram is a quadrilateral with two sets of parallel sides.
A parallelogram can be made into a rectangle by cutting off and moving a triangle:
The area of a parallelogram = base × height
Example 4: Here is a parallelogram drawn on a centimetre grid. Calculate the area of the parallelogram.
Area = base × height Area = 4 × 3 Area = 12cm 2
Example 5: Calculate the area of the parallelogram.
For the area calculation we use the perpendicular height (it must be straight up, not diagonal). The height of this parallelogram is 11 metres.
Area = base × height Area = 8 × 11 Area = 88m 2
A parallelogram is drawn on a centimetre grid. Calculate the area of the parallelogram.
Calculate the area of the parallelogram.
Finding the area of a trapezium
The image below shows a trapezium, a trapezium (trapezoid in American English) is a quadrilateral with two parallel sides.
The area of a trapezium = 1 ⁄ 2 (a + b) × height Where a and b are the lengths of the two parallel sides
This formula can be made by splitting the trapezium into a rectangle and a triangle (you don't have to know where the formula comes from, you just have to know the formula).
Example 6: Find the area of the trapezium
For the trapezium above: Area = 1 ⁄ 2 (6 + 10) × 7 Area = 1 ⁄ 2 (16) × 7 Area = 8 × 7 Area = 56 cm 2
A trapezium is drawn on a centimetre grid. Calculate the area of the trapezium.
Calculate the area of the trapezium.
The perimeter of a shape is the distance around the edge of the shape
To find the perimeter of a shape we add up the lengths of all of the sides
This rectangle has two sides with a length of 6cm and two sides with a length of 3cm
Perimeter = 6 + 6 + 3 + 3
Perimeter = 18 cm
Example 1: A rectangle is drawn on a centimetre grid Calculate the perimeter of the rectangle
Perimeter = 5 + 5 + 4 + 4 Perimeter = 18cm
Example 2: Calculate the perimeter of the triangle
Perimeter = 10 + 9 + 7 Perimeter = 26m
A rectangle is drawn on a centimetre grid. Calculate the perimeter of the rectangle.
Calculate the perimeter of the rectangle.
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28 Creative Area and Perimeter Activities for the Classroom
From “Perimeter People” to crackers … we’ve got you covered!
Area and perimeter are the first geometry calculations students master. It’s important for students to understand what area and perimeter are, how to calculate them, and why they’re important. Here are our favorite area and perimeter activities to introduce, practice, and extend students’ work with area and perimeter.
1. Start with an anchor chart
Start with an anchor chart! This clever option lays out the differences and similarities between area and perimeter measurements, and the color coding will help students use it while solving problems.
Learn more: Area and Perimeter Anchor Chart at Room 330 Anchor Charts
2. Decorate your classroom
Use your classroom—doors, bulletin boards, tables—to reinforce the idea of area and perimeter. Students can refer to the decor to reinforce the concept, and if you need to reteach, you have a tool at the ready.
Get it: Free Area and Perimeter Posters at Math = Love
3. Use four square tiles
Once students understand what area and perimeter are, they work with four square blocks in this investigation to see how many ways they can create shapes with four blocks and calculate the area and perimeter of each shape they make. Are all the calculations the same or different? Why?
Try it: Four square tiles activity at Jillian Starr Teaching
4. Solve a ribbon square problem
The ribbon square problem is a more advanced application of area and perimeter, and it’s a great way to stretch higher learners who have really mastered the concepts. In this project, students address the problem: Students stand around a square swimming pool holding ribbons and have to make squares with the ribbons. How many squares can they make? What happens if the size of the pool changes?
Learn more: Ribbon Squares at the University of Cambridge
5. Read Spaghetti and Meatballs for All!
In Spaghetti and Meatballs for All! by Marilyn Burns, the Comfort family reunion gets more complicated as guests insist on rearranging the seating chart. Read the book, and have students draw and calculate the table formations as you go.
Buy it: Spaghetti and Meatballs for All! at Amazon
6. Draw a Perimeter Person
Have students draw themselves on graph paper, then figure out the area and perimeter. So cute!
Learn more: Perimeter Person Drawing at A Word From Third
7. Use sticky notes
When students are learning about area and perimeter, use sticky notes to cover large shapes and calculate how many sticky notes it takes to go around or fill an object. When students have more knowledge and skills, assign lengths to each color of sticky notes and challenge students to calculate the area and perimeter of shapes made with each color.
Learn more: Hands-On Manipulatives To Teach Area and Perimeter at Jillian Starr Teaching
8. Make a math mosaic
Projects like these put the “A” in STEAM! Have students use square sticky notes to make a self-portrait mosaic or any other theme you choose. They can write in their calculations around the figure.
Learn more: Math Mosaics at I Want To Be a Super Teacher
9. Explore area and perimeter with LEGO bricks
LEGO bricks are the perfect teaching tool for area and perimeter. Plus, children love them!
Learn more: LEGO activity at Grade School Giggles
10. Sing a catchy area and perimeter song
This cool little tune will help students remember when and how to use area and perimeter calculations.
11. Write block letter names
Students draw their own names on grid paper. They get to decide how large or small they go. Then, they calculate the area and perimeter. (Name too long? Use initials instead.)
Learn more: Block Letter Names at Upper Elementary Snapshots
12. Turn floor tiles into an area and perimeter activity
Got square floor tiles? Use blue painter’s tape (it peels off easily, we promise) to make shapes, and have your students calculate the areas of your creations. Once students have solved for the shapes, have them create their own and calculate the area and perimeter of each other’s shapes.
Learn more: Differentiating With Area and Perimeter at Being Ladylike
13. Bring out the pentominoes
If you’ve played Tetris, you’ll recognize pentomino blocks. They’re a great tool to have on hand for a variety of math activities, including perimeter and area. Have students trace a block on grid paper, then calculate the area and perimeter.
Learn more: Perimeter & Area of Irregular Shapes at Teaching With a Mountain View
14. Use area and perimeter to build a kite
Making a kite is a fun way to reinforce area and perimeter that ends with a great outdoor activity. Give students the materials, have them create a kite, and then measure its area and perimeter. When you fly them, you can talk about whether the area or perimeter had any impact on their flying.
Learn more: Building Kites at Math Engaged
15. Become an interior designer
Here’s an answer for when students ask, “but when will we use this in real life?” Area and perimeter actually have a lot of real-life applications, like this project where students fill a room with furniture to see if they can make it all fit.
Learn more: Teaching Area Using Applied Math at The Owl Teacher
16. Build a city
Another area and perimeter activity that is a real-life application: building a city. Incorporate volume into this activity where students work together to create a city and calculate just how much area and perimeter each building takes up.
Learn more: Area and Perimeter City at Teach Beside Me
17. Play Island Conquer
Another fun area and perimeter game, in Island Conquer, students pull points to plot rectangles or “islands” on a grid and calculate the area and perimeter. The person with the most island area at the end of the game wins.
Learn more: Island Conquer game at Laura Candler’s Teaching Resources
18. Make a π plate
Once students have mastered area and perimeter with polygons, it’s time to study circles. Introduce students to circles and pi with “pie” plates.
Learn more: Pi Plate Activity at The Reading Buddies
19. Area and perimeter pizza party
After teaching the concept of area and perimeter of a circle, have students figure out which is the better deal, two small pizzas or one large pizza. It’s all about the area!
20. Provide an easy reminder
Have students glue this printable card into their math notebooks for an easy reference.
Learn more: Area and perimeter note card at Math Coach’s Corner
21. Build a tiny house
Use card stock and give students parameters for how big the walls and roof are. Then, students create a tiny house using the specifications you give them.
Learn more: Build a tiny house printout at Witry Library Pages
Buy it: Digital Divide and Conquer at Teachers Pay Teachers
22. Create area and perimeter art
This is a great way to bring math into art class, or art into math. Have students create polygons with different perimeters to create designs. Then, measure the area inside each.
Learn more: Area and Perimeter at The Teacher Studio
23. Plan a garden plot
In this project, students map gardens using different area plots. It’s another way to apply area and perimeter to a real-life scenario. If you have space in your playground, use this project to map out a real garden plot.
Learn more: Garden area and perimeter activity at 3 Dinosaurs
24. Use a pegboard
Pegboard activities show students what perimeter and area look like and how they are different. They can make shapes and report how many pegs it takes to go around an object and how many pegs it takes to fill it in.
Learn more: Using pegboards in the classroom at Nurturing the Tender Years
Buy it: Pegboard at Amazon
25. Create a playground
Students apply area and perimeter (and surface area if you’ve taught it) to create their dream playground.
Learn more: Playground Project at Mrs. E Teaches Math
26. Explore area and perimeter with geoboards
Geoboard activities are a great way for students to see how area and perimeter change as shapes change.
Learn more: Perimeter and Area Geoboard Exploration at Life Over C’s
Buy it: Geoboards at Amazon
27. Calculate area you can eat
Use square crackers to cover shapes and calculate the perimeter and area of each. It’s a fun way to reinforce the idea of area and perimeter as students grasp the concept.
Learn more: Using Cheez-Its To Teach Kids Area and Perimeter at Mashup Math
28. Use tangrams
Tangrams are another exploratory activity that students can use to explore area and perimeter or complete more complex area problems.
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Area and Perimeter Problem Solving Activity KS2
Subject: Mathematics
Age range: 7-11
Resource type: Lesson (complete)
Last updated
20 October 2019
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An activity that allows children to apply a range of skills to a real-life situation -
- Area and perimeter
- Addition and subtraction
- Percentages
- Working with money
Pupils have to work towards a budget and purchase carpets for a house they have been provided the floor plan for. The budget can be changed to make it more challenging or easier. I did this as paired work in Y6 and my pupils loved it - I looked for the pair who could get closest to the budget.
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COMMENTS
Area and Perimeter. Age 7 to 11. Challenge Level. What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Use our perimeter worksheet PDFs, suitable for KS2, to calculate the perimeter of rectangles, simple shapes and rectilinear shapes. Recently Viewed and Downloaded › Recently Viewed › Recently Downloaded . ... Solving Perimeter Problems Differentiated Worksheets. 4.8 (10 reviews) Year 4 Diving into Mastery: Step 3 Perimeter on a Grid ...
Each card includes two complex shapes which children must find the perimeter of, as well as a drawing challenge where they must draw their own shapes. Shape Perimeter Word Problems Challenge Cards - Ideal for KS2 pupils. They include real-life examples of perimeter to help children understand the application of the theory.
Curriculum notes. This short film is suitable for teaching maths at KS2 in England and Northern Ireland, 2nd Level in Scotland and Progression steps 2 and 3 in Wales. In this short animation, Zach ...
Problem-solving card activity Area and perimeter guide and free printable worksheet This page includes a brief guide to give upper KS2 students an overview of area and perimeter, and you can download a 14-page PDF worksheet and separate answer sheet too.
Area and perimeter are explained in the context of a Grecian pizza parlour. How many plates can be arranged around the perimeter of the room? ... Maths KS2: Problem solving with money. Problem ...
Area Multiple Choice Maths Quiz - KS2 Revision. Drawing Shapes with a Given Perimeter Worksheet. KS2 Maths Perimeter of Rectangles Bingo Game. Perimeter of Rectangles Differentiated Maths Activity Sheets. KS2 Perimeter of Polygons Worksheets. 4.0 (7 reviews) 1.5cm Squared Paper Editable.
Reasoning - Problem Solving - Perimeter Problems (KS2) - March 2nd. Two problems involving the perimeter of squares, equilaterals and rectangles. Every day in March the White Rose Maths Hub is aiming to put out a question of the day. Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.
Area and Perimeter Problem Solving. Subject: Mathematics. Age range: 11-14. Resource type: Lesson (complete) File previews. pptx, 312.58 KB. Some reasoning questions around the topic of area and perimeter. Lots of opportunities for class discussion about methods and problem solving, and linking in to solving algebraic equations and simplifying ...
Next: Sample Space Practice Questions GCSE Revision Cards. 5-a-day Workbooks
Area = 18 cm2. The units are cm 2: one cm 2 is a square that measures 1cm by 1 cm. Example 1: A rectangle is drawn on a centimetre grid. Calculate the area of the rectangle. Area = length × width. Area = 5 × 4. Area = 20cm2. Try this: A rectangle is drawn on a centimetre grid.
through the first problem together as a class (you will return to the area problem later in the lesson), highlighting the difference between perimeter and area. Explain that during this lesson the children will be solving some problems that involve calculating perimeter. These problems will be related to school improvement. Ensure
Length and perimeter. Applying problem solving strategies to length. Year 3. Applying problem solving strategies to length. Download all resources. Share activities with pupils. ... In this lesson, we will apply problem solving strategies in the context of worded questions involving measuring length. We will walk through potential approaches ...
pdf, 596.59 KB. KS2 area and perimeter worksheet - the first part requires children to calculate the area/perimeter of different fields. The second part of the task focuses on problem solving, requiring children to calculate costs for total perimeter fence needed, how many sheep can fit into the fields and the total cost of the sheep.
Use your classroom—doors, bulletin boards, tables—to reinforce the idea of area and perimeter. Students can refer to the decor to reinforce the concept, and if you need to reteach, you have a tool at the ready. Get it: Free Area and Perimeter Posters at Math = Love. 3. Use four square tiles.
This useful Perimeter Word Problem Worksheet allows children to apply their knowledge of maths to real-life situations. Word problems are a great way to support your teaching of maths as they relate to specific scenarios, which helps children apply their understanding in a real-life context.This sheet covers the Year 4 objectives for perimeter. Expert-made teaching support for the rest of ...
Greater Depth Calculate the possible dimensions of a rectangle using a given perimeter. Measurements are given in cm and mm (conversion needed). Questions 2, 5 and 8 (Problem Solving) Developing Calculate the perimeter of a larger rectangle by using the given dimensions of a smaller rectangle within it. All measurements are in cm.
Area and perimeter problem solving. I wrote this for a bottom set yr 11. It is very step by step. The cards were used well and I wrote the answers on the back of each but no workings out!. The cards are differentiated: yellow, different shapes but straightforward, purple: similar to the PP, blue: very exam question based.
Reasoning and Problem Solving - Calculate Perimeter - Year 3 Expected. 7a.Bernie draws a shape and says, My irregular shape has five sides. Two pairs of sides have an equal length. One of the pair's length equals 18cm. Its total perimeter is 37cm. Bernie.
Having looked online at various area and perimeter questions, i felt they were all too similar, with very little problem solving/investigation skills being used. So, International; Resources; ... and have used them in a class where i have got children from every year in ks2. They love problem solving and it was a hit in my class.
Area and Perimeter Problem Solving Activity KS2. An activity that allows children to apply a range of skills to a real-life situation -. Pupils have to work towards a budget and purchase carpets for a house they have been provided the floor plan for. The budget can be changed to make it more challenging or easier.