problem solving year 1 shape

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Year 1 | Shape Problems Worksheets

In these Year 1 shape problems worksheets , your pupils are set to explore how many squares and rectangles they can spot within a large 4-square grid. Children will naturally start using their problem-solving skills as they identify these quadrilaterals in various sizes and orientations.

A favoured activity among our educators, these Year 1 shape problems worksheets enhance the ability to recognise and differentiate between squares and rectangles. The worksheet also provides a hands-on learning experience, allowing learners to actively participate in discovering 2D shapes that may not have been so obvious at first glance.

Our Year 1 shape problems worksheets are aligned with KS1 geometry: position and direction on the primary national curriculum. All of our Year 1 geometry: position and direction worksheets can be used with your ideas for primary maths activities, learning resources, teaching material, visual aids, games, differentiation, display boards, homework, and lesson plans.

You may be interested in Year 1 Shape Patterns Worksheets .

Explore the rest of our Year 1 maths worksheets .

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Year 1 and 2 Maths investigation with shape and number

Subject: Mathematics

Age range: 5-7

Resource type: Lesson (complete)

Last updated

28 May 2024

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Year 1 and 2 Maths Investigation with shape and number This is a fun, engaging and creative lesson with shape. The lesson has been successfully used to apply knowledge of shapes in a year 2 setting. Children can begin to think of problems systematically. They think of the best way to start, that there is more than one answer, that they can use number doubles and counting on to support them. Children are encouraged to find different ways to make a 9 sided shape family. They need to be secure with properties of simple 2d shapes previously such as sides of regular shapes. Work can be differentiated by giving children regular or irregular shapes. Very stimulating activity for all learners. The activity can be easily adapted for both year groups.

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llisahaynes

Great but do you have the notebook saved in any other format ? I can't open it and the online programme isn't really helping to solve the problem ?

Empty reply does not make any sense for the end user

Brilliant to extend Year 1/2 on their knowledge of shapes into problem solving. Will stretch the highers and challenge the rest.

rehanafazil

Awsome. Thanks for feedback and 5 stars. Have fun teaching.

I loved teaching this lesson too. It had outstanding outcomes.

Thats great feesback. Thanks.

Thanks for the 5 stars. Keep safe.

pine_forest

Thank you! We have been learning about properties of shapes and this is perfect!

A really good activity to reinforce children's knowledge of 2d shapes and to encourage them to think systematically. Suitable for higher ability Y1 and Y2.

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Year 1 3D Shapes Lesson

This Year 1 3D Shapes lesson covers the prior learning of identifying and making 2D shapes, before moving onto the main skill of recognising and naming 3D shapes.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 1: (1G1b)  Recognise and name common 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]

Get the most from lessons!

Resources for teachers

Interactive activities for children

2 Teaching Support

Lesson Slides

These lesson slides guides pupils through the prior learning of identifying and making 2D shapes, before moving onto the main skill of 3d shape. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Recognising 3D Shapes Video Tutorial, Katie identifies and counts 3D shapes including cubes, cuboids, cylinders, spheres, cones and pyramids.

1 Prior Learning

Interactive Games

This Reception Naming 3D Shapes Game will develop children’s understanding of solid shapes.

Interactive Activity

This Reception 3D Shapes Recognition Game will help children practise identifying and naming 3D shapes.

2 Practical Activities

Practical Activities

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of 3d shape.

Supporting Activity

This 3d shapes supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

2 Varied Fluency

Mixed Practice

This worksheet includes varied fluency questions for pupils to practise the main skill of 3d shape.

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

Matching Activity

This Year 1 3D Shapes Matching Game aims to support pupils’ knowledge of shape.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

This Year 1 3D Shapes Maths Challenge aims to extend pupils’ understanding of shape.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Learning Video Clip

Priya and Ted are very excited because their parents are taking them to a fairground today. Join them as they look for 3D shapes around the fairground.

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Consolidation Pack

This resource is aimed at Year 1 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 3 – Geometry: Shape.

Home Learning Pack

This Autumn week 10 Maths pack contains varied fluency, reasoning and problem solving worksheets

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Properties of Shapes KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

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?

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.

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?

Nine-pin Triangles

How many different triangles can you make on a circular pegboard that has nine pegs?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Where Are They?

Use the isometric grid paper to find the different polygons.

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.

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?

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.

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?

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?

Building Blocks

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

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?

Diagonally Square

Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

Counters in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Always, Sometimes or Never? Shape Live

Are these statements always true, sometimes true or never true?

National Flags

This problem explores the shapes and symmetries in some national flags.

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?

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

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?

A task which depends on members of the group noticing the needs of others and responding.

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.

Stringy Quads

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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?

Symmetry Challenge

How many symmetric designs can you make on this grid? Can you find them all?

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.

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?

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?

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.

Estimating Angles

How good are you at estimating angles?

Stick Images

This task requires learners to explain and help others, asking and answering questions.

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?

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What we know about the Trump shooter

Jaclyn Diaz

Dave Mistich

Quil Lawrence

Police continue to block roads around the home of Thomas Matthew Crooks in Bethel Park, Pa., on Sunday, as the FBI continues its investigation into the attempted assassination of former President Donald Trump. Rebecca Droke/AFP via Getty Images hide caption

Less than a week out from the shocking assassination attempt on former President Donald Trump, authorities are still working to unravel who the gunman was and what may have driven him to act.

The FBI say Thomas Matthew Crooks, the man who shot at Trump at a Butler, Pa., political rally on Saturday, is believed to have acted alone. There is yet to be an established motive for Crooks’ actions, officials told media over the weekend.

Trump says that a bullet pierced the upper part of his right ear. One person, identified Sunday as Corey Comperatore, 50 , was killed in the attack. Two other people were also injured before Secret Service agents killed Crooks.

Investigators have said his father purchased the weapon used in the attack—an AR-style 556 rifle—and now officials are trying to determine how Crooks gained access to it.

A person familiar with the investigation who was not allowed to speak publicly said the gun was purchased about six months ago. The source also confirmed that at least one possibly workable, explosive device was found in the dead suspect's vehicle.

Robert Wells, assistant director of the FBI’s counterterrorism division, said Sunday that the bureau was investigating the incident as “an act of domestic terrorism.”

A picture is still emerging about the 20-year-old. Here’s what we know so far.

Crooks is from a small community outside of Pittsburgh

The Crooks family home is in Bethel Park, Pa., according to the FBI, a working-to-middle class community south of Pittsburgh.

Investigators said the Crooks’ family is cooperating with the investigation. Attempts by NPR to contact family members have not been successful.

The community, which neighbors describe as a “quiet” one, sits about 53 miles from the shooting site and is home to about 33,000 people.

“People kind of keep to themselves. I mean, you say hi to your neighbors,” said Jim Zawojski, 70, a retiree living in Bethel Park. But, he added, people aren’t especially close-knit.

Zawojski said he once mistakenly received mail from the Crooks house, but never engaged with the family members directly, even as he returned the mail to their porch.

“I couldn’t even tell you what they look like,” he said.

“I’m sure they’re devastated," Zawojski continued. "I am just wondering if there were any signs of how [Crooks] was acting. Was he mentally disturbed?"

Law enforcement officers gather at the campaign rally site for former President Donald Trump on Saturday in Butler, Pa. Trump's campaign said in a statement that the former president was "fine" after the assassination attempt. Evan Vucci/AP/AP hide caption

In school, he was considered a good student

The shooting has confounded those who crossed paths with Crooks.

The Bethel Park School District confirmed Sunday that Crooks was a 2022 graduate of Bethel Park High School. The district said it was cooperating with investigators and was limited in what other information it could release.

Crooks' name was included on a list of awardees as part of Bethel Park High School's Awards and Recognition Program in 2022, according to a local news report. He was listed as receiving a $500 National Math & Science Initiative Star Award.

"From background I've gotten from people that I know that have gone to school with him, he was your typical average kid — more on the quiet side, relatively intelligent," Allegheny County Councilor Dan Grzybek told WESA, Pittsburgh's NPR news station. Gryzbek represents the district that includes Bethel Park.

Thomas Matthew Crooks in an undated picture from his time at Bethel Park High School. He graduated in 2022. Bethel Park High School hide caption

Grzybek noted that Crooks was known as "a pretty decent student."

After high school, Crooks attended the Community College of Allegheny County, where he graduated two months ago with an associate's degree in engineering science, the school confirmed to NPR.

"Like all Americans, we are shocked and saddened by the horrific turn of events that took place in Butler, Pa., on Saturday. We are grateful that former President Trump is safe and recovering, and we extend our condolences to the family of Corey Comperatore on their loss, and offer our thoughts and prayers to all others who have been impacted by this tragedy," CCAC said in a statement. "As the investigation into this weekend’s events continues, CCAC will fully cooperate with members of law enforcement."

A spokesman for Robert Morris University confirmed that Crooks had planned to enroll at the small private institution outside of Pittsburgh beginning this fall, but had not yet attended classes at the university.

A person who encountered Crooks at CCAC but who wasn't authorized to speak publicly told NPR that Crooks was known as a brilliant student with a solid future ahead of him. This individual said Crooks was seen on campus and always dressed nicely. There were plans for Crooks to attend a four-year institution in the state after graduating CCAC, this person said.

Earlier this year, it was announced that CCAC was no longer offering new students to enroll in its engineering department, forcing current students to finish their programs and classes there by 2025, according to a local news report. This caused a lot of students stress, but as far as this person knew there were no behavioral issues with Crooks during his time at CCAC.

Since news of the shooting rippled through the community, the general feeling at CCAC is shock at the "senseless" tragedy, this individual said.

Samuel Strotman, a classmate of Crooks at CCAC, shared classes with him. But Strotman said he never saw Crooks in person at the school's campus. In the classes they did share over Zoom, Crooks was just a "dark screen" and said just a few words when the professor took roll call.

"I never thought I'd be in class with someone who tried to assassinate our former president," Strotman said.

Small details are beginning to take shape

Bit by bit, more minor details about his life beyond school have started to come into focus.

Crooks had been working at Bethel Park Skilled Nursing and Rehabilitation Center as a dietary aide, Marcie Grimm, the center's administrator, said in a statement shared with NPR. It's unclear how long Crooks worked at the center.

Grimm expressed shock and sadness that the 20-year-old was named as the alleged shooter.

Crooks "performed his job without concern and his background check was clean," Grimm said in her statement. "We are fully cooperating with law enforcement officials at this time. Due to the ongoing investigation, we cannot comment further on any specifics. Our thoughts and prayers go out to Former President Trump and the victims impacted by this terrible tragedy. We condemn all acts of violence."

He appeared to also have an interest in guns, having joined a shooting club just a short drive away from Bethel Park. Robert S. Bootay III, legal counsel for Clairton Sportsmen's Club, said in a statement that Crooks was a member of the gun club.

“Obviously, the Club fully admonishes the senseless act of violence that occurred yesterday,” Bootay said in a statement while also offering condolences to the family of Corey Comperatore , who died in the attack, and prayers to those injured.

After Crooks was killed, multiple news outlets have reported, a photo emerged of a law enforcement officer standing above his body. In the image, which NPR has not independently verified, Crooks is seen wearing a gray T-shirt from Demolition Ranch, a YouTube channel that features videos about firearms, demolition and experiments with guns.

After the image emerged, Matt Carriker, the channel’s creator, posted a video in which he said he was “shocked and confused to find this out.”

“We don’t vet the people who buy our shirts, obviously, it would be impossible to. Just like Nike doesn’t vet who buys their shoes,” Carriker said in the video.  “This channel is not about violence, this channel will never be and we never would condone that at all,” he continued. “I hate that.”

A possible motive remains unclear

Investigators are working to put together what may have motivated Crooks to target Trump. They are looking into his actions in the days and weeks before the shooting.

The FBI has not yet identified an ideology associated with the shooter, according to Kevin Rojek, special agent in charge of the FBI’s Pittsburgh field office who is leading the investigation into the assassination attempt.

“We don’t have any kind of fidelity right now about the shooter’s action immediately prior to him engaging the former president,” he said.

Senior officials from the FBI and Secret Service have briefed U.S. lawmakers on the investigation, according to a person on the call.

The FBI has been reviewing the contents of Crooks’ electronic devices, including a laptop and two cell phones — his primary phone and a second that was found at his home.

Crooks had saved images of President Biden, Trump, Attorney General Merrick Garland, FBI Director Christopher Wray and Kate Middleton, the Princess of Wales. He had also searched for dates of Trump speaking events as well as the Democratic National Convention. He also searched “major depressive order.”

When investigators searched Crooks’ home, they found no artifacts that indicated a political ideology, which officials told lawmakers was unusual in a case like this. People who knew Crooks have told investigators that he didn’t often discuss politics.

Pennsylvania voter registration and Federal Election Commission data show Crooks was a registered Republican, but donated $15 through ActBlue, the Democratic-allied organization, in 2021.

A search on Pennsylvania's public court records database indicated Crooks had no criminal history.

Investigators have found no threatening language on his social media accounts, according to Wells of the FBI's counterterrorism division.

To the extent he used social media, it appears he left no major footprint.

At least one social media account associated with Crooks has been confirmed on the group-chatting app Discord.

"We have identified an account that appears to be linked to the suspect; it was rarely utilized and we have found no evidence that it was used to plan this incident, promote violence, or discuss his political views," a Discord spokesperson said in a statement to NPR. "Discord strongly condemns violence of any kind, including political violence, and we will continue to coordinate closely with law enforcement."

Ryan Lucas and Kahwit Tela contributed to this report.