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Deepen understanding of 3-D shapes - Problem-Solving Investigation - Year 5
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
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This in-depth maths investigation is an open-ended problem solving activity for Year 5 children. It can be used to support teaching towards the objectives: Revise and deepen understanding of properties of 3-D shapes.
In-depth investigation: Pharaoh’s Rest By looking at this net for a square-based pyramid, can you visualise and draw other, different nets that fold to give the same pyramid?
This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 5 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
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Free Printable 3D Shapes Worksheets for 5th Year
3D Shapes: Discover a collection of free printable Math worksheets for Year 5 students, designed to help them explore and understand the fascinating world of three-dimensional shapes. Dive into the world of geometry with these comprehensive and interactive resources, perfect for enhancing your Math lessons.
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Explore printable 3D Shapes worksheets for 5th Year
3D Shapes worksheets for Year 5 are an excellent resource for teachers looking to enhance their students' understanding of math and geometry concepts. These worksheets provide a variety of engaging activities that help students explore the properties of three-dimensional shapes, such as surface area, volume, and the relationships between different shapes. By incorporating these worksheets into their lesson plans, teachers can effectively support their students' development of critical thinking and problem-solving skills, which are essential for success in higher-level math courses. Additionally, these Year 5 worksheets are designed to align with common core standards, ensuring that students are receiving a comprehensive and rigorous education in geometry.
Quizizz is a fantastic platform that complements 3D Shapes worksheets for Year 5, offering teachers a wide range of interactive quizzes and games to reinforce math and geometry concepts. With Quizizz, teachers can easily create customized quizzes that align with their lesson plans and monitor student progress in real-time. This innovative tool not only helps students practice and improve their understanding of three-dimensional shapes but also encourages a fun and engaging learning environment. Furthermore, Quizizz offers a vast library of pre-made quizzes and resources, allowing teachers to save time and effort in preparing their lessons. By integrating Quizizz into their teaching strategies, educators can provide a well-rounded and dynamic learning experience for their Year 5 students, ensuring they excel in math and geometry.
Use the properties of rectangles to find missing lengths and angles
Distinguish between regular and irregular polygons, reflect and translate shapes, how to help at home.
There are lots of everyday ways you can help your child to understand geometry. Here are just a few ideas.
1. Use the language of shapes
You can support your child’s learning by helping them to describe shapes in terms of properties, such as:
- The number of sides/edges
- The number of faces
- The number of vertices /corners
- Types of angles within shapes
- Lines of symmetry (if any).
Encourage them to use specific mathematical language such as diagonal , vertical , horizontal , parallel , acute , obtuse , and rig h t angle too.
2. Use 3D nets
Have a go at this 3D nets worksheet. See if your child can work out the 3D shapes just from the 2D pictures.
Activity: Nets
Practise making and understanding nets.
You could help your child make the shape by drawing and cutting out copies of the nets to check their answers.
3. Make a protractor mat
Your child will be expected to draw given angles and measure them in degrees using a protractor.
You can help your child practise using a protractor accurately by making a ‘protractor mat’. Use the corner of a piece of paper to create a 90 degree mat in the shape of a quarter circle. Mark a line for each 10°. Alternatively, create a 180 degree mat in the shape of a half circle. Mark a line for each 10°. This will help them get used to what different increments of degrees look like.
4. Find the angles in your name
Your child could write their name (or even just their initials) using straight lines and then measure the angles in their name. Which letters have the most angles? Which letters have the biggest angles?
5. Play Battleships
Coordinates are numbers that determine the position of a point on a map, grid, or graph. Coordinates are recorded using brackets, with the two numbers separated by a comma, like this: (1,2). The first number in a coordinate tells us where the point is on the x -axis (or the horizontal axis ). The second number tells us where the point is on the y -axis (or the vertical axis ).
You can help your child learn by reading and plotting coordinates. In the example below, the coordinate for the plotted point would be (5,6), where 5 is the value on the x -axis and 6 is the value on the y -axis:
Games like Battleships give your child the opportunity to use coordinates. Encourage your child to make their own Battleships grids and play with you or a sibling. This will give them a chance to draw a pair of axes with equal scales and labels, as well as practise finding and describing coordinates.
6. Coordinates shape game
Your child will be using coordinates in all four quadrants at school, including the use of negative numbers. Use 1cm-squared paper for your child to draw out a four-quadrant grid like this:
Your child will need to be able to describe and record the position of simple shapes using all four quadrants. They will use positive and negative values for x and y and will plot points on a grid to draw a given polygon.
Think of a shape that covers the four quadrants and then give your child the coordinates to see if they can draw it. You could have a go using these coordinates:
A = (2,4) B = (5,3) C = (-2,1) D = (-4,4) E = (-6,-3) F = (-2,-4) G = (2,-3) H = (5,-2)
Then, see if they can do the same for you!
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Properties of Shapes KS2
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.
Triple Cubes
This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Four Triangles Puzzle
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Sorting Logic Blocks
This activity focuses on similarities and differences between shapes.
Seeing Squares
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
The Third Dimension
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Guess What?
Can you find out which 3D shape your partner has chosen before they work out your shape?
The Numbers Give the Design
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Where Are They?
Use the isometric grid paper to find the different polygons.
Seeing Parallelograms
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
A Puzzling Cube
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Use the information on these cards to draw the shape that is being described.
How Safe Are You?
How much do you have to turn these dials by in order to unlock the safes?
Square Corners
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Six Places to Visit
Can you describe the journey to each of the six places on these maps? How would you turn at each junction?
Building Blocks
Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?
Counters in the Middle
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
Always, Sometimes or Never? Shape
Are these statements always true, sometimes true or never true?
National Flags
This problem explores the shapes and symmetries in some national flags.
Round a Hexagon
This problem shows that the external angles of an irregular hexagon add to a circle.
Nine-pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
Let Us Reflect
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
Name That Triangle!
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
A task which depends on members of the group noticing the needs of others and responding.
Stringy Quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Making Cuboids
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Sponge Sections
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
Seeing Rhombuses
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
Arranging Cubes
A task which depends on members of the group working collaboratively to reach a single goal.
Move Those Halves
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
Overlapping Again
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Egyptian Rope
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Shapes on the Playground
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
Board Block Challenge
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Symmetry Challenge
How many symmetric designs can you make on this grid? Can you find them all?
Making Spirals
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Triangles All Around
Can you find all the different triangles on these peg boards, and find their angles?
Reflector ! Rotcelfer
Can you place the blocks so that you see the reflection in the picture?
Olympic Turns
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
Stick Images
This task requires learners to explain and help others, asking and answering questions.
Estimating Angles
How good are you at estimating angles?
What Shape?
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
Making Rectangles
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
What can you see? What do you notice? What questions can you ask?
Classroom Stars
Year 5 | Nets of 3D Shapes Worksheets
These Year 5 worksheets on the nets of 3D shapes engage children in the exploration of three-dimensional shapes. The task involves selecting and colouring one net from three drawings that, when folded, can form a cube. Similarly, this process is repeated for a cuboid, square-based pyramid, and cylinder.
This worksheet serves as an introductory experience for pupils to become acquainted with the concept of representing 3D shapes through nets. By actively participating in the selection and colouring of nets, children not only familiarise themselves with these geometric representations but also lay the foundation for a deeper understanding of spatial concepts related to various three-dimensional shapes.
Our Year 5 geometry: properties of shapes primary worksheets are aligned with the KS2 national curriculum and can be combined with your ideas for learning activities, differentiation, homework and lesson plans.
You might find our Year 5 missing angles worksheets to be helpful.
Explore the rest of our Year 5 maths worksheets .
Access this resource and thousands more for just £9.95 per year
You might also like...
Year 5 | Parentheses Worksheets
Year 3 | Solving Fraction Problems Worksheets
Year 4 | Multiplication Facts Worksheets
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3D Shapes – Reasoning and Problem Solving
3D Shapes - Reasoning and Problem Solving
This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of identifying the properties of 3D shapes.
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What's included in the pack?
3D Shapes reasoning and problem solving worksheet Answer sheet
National Curriculum Objectives:
Mathematics Year 5: (5G3b) Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
This resource is available to download with a Premium subscription.
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Reasoning and Problem Solving - Reasoning about 3D Shapes - Year 5 Developing. 4a. Name three 3D shapes that include this shape. List the other 2D shapes you would need to complete the net. E. 4b. Namethree 3D shapes that include this shape. List the other 2D shapes you would need to complete the net. E.
With fluency, reasoning and problem-solving questions, children have the opportunity to show mastery and mastery with greater depth, enabling the teacher to assess the children's depth of understanding of reasoning about 3D shapes. ... and is the first of two teaching packs that complement the year 5 White Rose small step of reasoning about 3D ...
This in-depth maths investigation is an open-ended problem solving activity for Year 5 children. It can be used to support teaching towards the objectives: Revise and deepen understanding of properties of 3-D shapes. By looking at this net for a square-based pyramid, can you visualise and draw other, different nets that fold to give the same ...
With fluency, reasoning and problem-solving questions, children have the opportunity to show mastery and mastery with greater depth, enabling the teacher to assess the children's depth of understanding of reasoning about 3D shapes. ... and is the first of two teaching packs that complement the year 5 White Rose small step of reasoning about 3D ...
Reasoning and Problem Solving Step 9: Reasoning about 3D Shapes National Curriculum Objectives: Mathematics Year 5: (5G3b) Identify 3-D shapes, including cubes and other cuboids, from 2-D representations ... Reasoning and Problem Solving -Reasoning about 3D shapes -Year 5 Developing
Reasoning about 3D Shapes Year 5 Teaching PowerPoint. Reasoning about 3D Shapes Year 5 Varied Fluency with answers. Reasoning about 3D Shapes Year 5 Reasoning and Problem Solving with answers. National Curriculum Objectives. Mathematics Year 5: (5G3b) Identify 3-D shapes, including cubes and other cuboids, from 2-D representations. Differentiation:
Year 5 Diving into Mastery: Step 10 3D Shapes Teaching Pack. Year 5 3D Object Nets Worksheet. Nets of 3D Shapes Activity Sheet. Help. This PowerPoint provides a range of maths mastery activities based around the Year 6 objective to 'recognize, describe and build simple 3-D shapes, including making nets'.
3D Shapes: Discover a collection of free printable Math worksheets for Year 5 students, designed to help them explore and understand the fascinating world of three-dimensional shapes. Dive into the world of geometry with these comprehensive and interactive resources, perfect for enhancing your Math lessons. year 5 3D Shapes.
Teach your Year 5 children how to solve 3D object reasoning questions using mathematical language with this lesson pack. This is the third of a set of three lessons on recognising, describing and building 3D objects. It includes a lesson plan, presentation and a differentiated worksheet. This pack aligns with the Australian Mathematics Curriculum (AC9M5SP01).
Geometry in Year 5 (age 9-10) In Year 5, your child will use acute, obtuse, and reflex angles and will draw and measure angles in degrees. They will translate and reflect shapes, and will investigate regular and irregular polygons. The key words for this section are 2D, 3D, axis, and coordinate.
Year 5 Geometry Shape 3D Shapes Maths Mastery Activities PowerPoint. 2 reviews. Mastery - Fluency, Reasoning and Problem Solving Year 5 Geometry Shape. How does this resource excite and engage children's learning? This PowerPoint provides a range of maths mastery activities based around the Year 6 objective to 'recognise, describe and build ...
This Year 5 Reasoning about 3D Shapes lesson covers the prior learning of recognising and describing 3D Shapes, before moving onto the main skill of identifying 3D shapes from 2D shapes and their properties. The lesson starts with a prior learning worksheet to check pupils' understanding. The interactive lesson slides recap the prior learning ...
This PowerPoint provides a range of maths mastery activities based around the Year 5 objective, 'Identify 3D shapes, including cubes and other cuboids, from 2D representations.'. Tags in this resource: cube.png. cuboid.png.
Shape Nets Differentiated Maths Activity Sheets. Year 5 Missing Number Problems Worksheet. Help. A handy worksheet in which students consider the properties of different 3D shapes. Includes advice on how to tackle the questions and a fast finishers activity. Great for developing skills in preparation for NAPLAN testing.
Challenge Level. This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Differentiation: Developing Questions to support reasoning about simple 3D shapes: cubes, cuboids and triangular or square based pyramids. Questions use nets and descriptions. Expected Questions to support reasoning about familiar 3D shapes, including pyramids and prisms. Questions use nets and descriptions. Greater Depth Questions to support ...
Lateral Thinking: Missing Shapes 3 reviews. Explore more than 281 "3D Shape Problem Solving" resources for teachers, parents and pupils as well as related resources on "3d Shapes". Help. Check out our interactive series of lesson plans, worksheets, PowerPoints and assessment tools today! All teacher-made, aligned with the Australian Curriculum.
These Year 5 worksheets on the nets of 3D shapes engage children in the exploration of three-dimensional shapes. The task involves selecting and colouring one net from three drawings that, when folded, can form a cube. ... Problem solving; Ratio & proportion; Statistics; Worksheets. Year 1 maths worksheets; Year 2 maths worksheets; Year 3 maths ...
3d shapes properties. Explore more than 277 "3d Shape Problem Solving" resources for teachers, parents and pupils as well as related resources on "3d Shape". Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs, PowerPoints, teaching ideas at Twinkl!
The Corbettmaths Practice Questions and Answers on 3D Shapes. GCSE Revision Cards
Mastery - Fluency, Reasoning and Problem Solving Year 5 Geometry Shape Fractions and Decimals Statistics Multiplication and Division Measurement Number and Place Value Geometry Position and Direction Addition and Subtraction. ... Year 5 Geometry Shape 3D Shape from a 2D Representation Maths Mastery Activities PowerPoint. 4.9 (8 reviews)
3D Shapes reasoning and problem solving worksheet Answer sheet. National Curriculum Objectives: Mathematics Year 5: (5G3b) Identify 3-D shapes, including cubes and other cuboids, from 2-D representations . This resource is available to download with a Premium subscription.
Questions 2, 5 and 8 (Problem Solving) Developing Complete the net of a 3D shape (simple cuboids and pyramids). One face missing. Expected Complete the net of a 3D shape (prisms, pyramids, truncated pyramids, cones and cylinders). More than one face missing. Greater Depth Complete the net of a 3D shape (complex, compound shapes).