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Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

Sophie Bessemer

Here you can find all our free Year 2 maths worksheets and Year 2 maths resources, many of which are suitable for homework and home learning .

All our KS1 and KS2 maths worksheets are printable and most are in pdf format, but they can also be viewed online too. If you’re looking for other slides-based teaching resources and lesson plans, we recommend you look at our range of White Rose maths lessons.

The hope is that these pdf Year 2 maths worksheets and free resources can be used with minimal support from parents as part of a 6 or 7 year old’s Year 2 maths homework routine and by teachers as part of a planned lesson framework.

For parents working with their children at home we would recommend you focus on practising and improving pupils’ core numeracy skills using the numbers worksheets as these generally require less input than topics like geometry – 2d shapes and 3d shapes. Place value and number after all are the building blocks of Key Stage 1 and later Key Stage 2 maths.

We have also included some telling the time worksheets; these will require support from a teacher or parent but the method used is truly revolutionary.

National curriculum guidance is given where relevant and each Year 2 worksheet includes answer sheets.

If you’re a parent then our home learning hub is full of home learning packs , workbooks, tips and further teaching ideas for Year 2 Maths at home and maths homework . 

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then Third Space Learning is here to support you with our online tutoring programme of maths interventions , together with maths resources and CPD.

Free Year 2 Maths Worksheets and Tests

Register now with the Third Space Maths Hub (Use Chrome) to download all our free Year 2 maths worksheets, workbooks and resources

Year 2 Free Place Value Worksheets

Year 2 free addition, subtraction, multiplication, division worksheets, year 2 free fractions worksheets , other year 2 free worksheets .

  • Also in this series…

Year 2 Maths Worksheets on place value: Worked Examples

Understanding place value is essential for all children of any age. In Year 2, children will need to know the value of digits in a two digit number as well as comparing numbers and continuing sequences. This worksheet shows children common errors that are made in the place value topic. Children then become ‘the teacher’ and check the answers and explain any errors they find. 

Download Year 2 place value worksheets: Worked Examples

Year 2 Maths Worksheets on addition and subtraction: Worked Examples

In Year 2, children will focus on adding and subtracting 2-digit numbers. It is important that children know addition and subtraction facts they were taught in Year 1, for example number bonds . This worksheet focuses on a range of addition and subtraction problems that have been incorrectly solved. Children will need to check and correct questions such as subtracting using a bar model, using known facts and missing number problems. 

Download Year 2 addition and subtraction worksheets: Worked Examples

Year 2 maths worksheets addition and subtraction worked examples

Year 2 Maths Worksheets on multiplication and division: Independent Recap

Children will start to focus on more formal methods of multiplication and division when in Year 2, including understanding patterns in the 2s, 5s and 10s times tables . These worksheets allow children to work independently on the ten times tables, odd and even numbers, grouping and sharing through a range of question types (word problems, fluency questions and so on). 

Download Year 2 multiplication and division worksheets: Independent Recap

Year 2 Maths Worksheets on multiplication and division: Worked Examples

There are many misconceptions that can form when first looking at multiplication and division. This worksheet focuses on addressing common misconceptions or errors in multiplication and division. The worksheet covers understanding what equal groups are, the relationship between repeated addition and multiplication as well as finding missing numbers in given calculations. 

Download Year 2 multiplication and division worksheets: Worked Examples

Year 2 Maths Worksheets on times tables: Ultimate Times Tables 

In Year 2, children will start to learn their times tables after learning to count in 2s, 5s and 10s in Year 1. These games are a fun way of learning times table facts, including the related inverse division calculations.  

Download Year 2 times tables worksheets: Ultimate Times Tables

Year 2 Maths Worksheets on fractions: Independent Recap

There is a lot of new vocabulary introduced in fractions in Year 2 (including the use of actual fractions). These worksheets allow children to work independently through the new vocabulary and concepts introduced, so would be useful for homework or home learning tasks. The worksheets work through unit fractions and non-unit fractions, finding a half and finding a quarter. For each worksheet, there is at least one question that encourages children to explain their answers and develop their reasoning skills. 

Download Year 2 fractions worksheets: Independent Recap

Year 2 Maths Worksheets on fractions: Worked Examples

Many children struggle with the concept of fractions. At a young age, children can develop a range of misconceptions that could under them in future years. This worksheet aims to identify common misconceptions and errors children make in the Year 2 fractions topic (such as a fraction being equal parts) and encourage them to discuss them. 

Download Year 2 fractions worksheets: Worked Examples

Third Space Learning online intervention lesson slide for year 2 fractions

Year 2 Maths Worksheets for improving mental maths skills, arithmetic and fluency: Fluent in Five

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions and is available for every primary school year group. In Year 2 children have 3 questions per day to answer. They are given prompts of concrete or pictorial resources (such as counters or number lines) they could use to help them solve the question presented to them. You’d be amazed at how quickly young people will build their number confidence with this resource. 

Download Year 2 arithmetic worksheets: Fluent in Five

Year 2 Maths worksheets for telling the time

For some reason learning to tell the time proves a challenge for most children, regardless of their prior attainment in maths. If you have a child who’s struggling with telling the time these worksheets provide a step by step process to help them master it. The key is to start with a number line.

Download KS1 telling the time: Activity Worksheets

Year 2 maths games worksheets and activities

Getting children fully engaged can be a struggle at times, especially towards the end of the summer term. We have over 20 great ideas for KS1 maths games which bring out the fun side of problem solving and get children excited about maths. Each gameplay outline includes a ‘What You Will Need’ section, so that you can be fully prepared to bring out Fraction Snap or Subtraction Bowling during your next lesson.  

Download Year 2 maths games and activities resource pack

Read More: 25 Fun Maths Games For Kids To Do At Home For Free!

Also in this series…

  • Year 3 Maths Curriculum Toolkit for 6 & 7 Year Olds
  • Year 3 Maths Worksheets
  • Year 4 Maths Curriculum Toolkit for 7 & 8 Year Olds
  • Year 4 Maths Worksheets
  • Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
  • Year 5 Maths Worksheets
  • Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
  • Year 6 Maths Worksheets

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Printable Mental Maths Year 2

Welcome to the Math Salamanders Year 2 Printable Mental Maths Worksheets. Here you will find a wide range of Mental Maths Worksheets aimed at Year 2 children which will help your child to learn number facts and practise their number skills.

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Mental Maths Worksheets

Our selection of mental maths worksheets is a great way of practising your number and maths skills.

The sheets can be used in a variety of ways, as a test or revision practise, or as part of a weekly quiz to help reinforce skills.

They can also be used as an oral and mental starter to a lesson to get brains working!

One of the best ways to use these sheets is to get children to work in pairs, discussing the questions as they work through them.

The questions have been designed to practise a range of maths skills from number to geometry and measurement facts, including using time and money.

The quizzes are in order of difficulty with the questions getting slightly harder in each quiz.

Our Year 2 Mental Math Worksheets contain a wide range of different questions and math skills.

Each sheet contains 12 questions, and is provided with an answer sheet.

The level of difficulty gets harder as you progress through the sheets.

The topics covered include:

  • mental arithmetic - addition, subtraction and simple multiplication;
  • missing fact questions;
  • place value questions up to 100;
  • simple geometry questions usually based around 2d and 3d shape properties;
  • money questions;
  • simple word problems;
  • time questions, including date and calendar questions.

Year 2 Mental Math Worksheets

  • Year 2 Mental Maths Sheet 1
  • PDF version
  • Year 2 Mental Maths Sheet 2
  • Year 2 Mental Maths Sheet 3
  • Year 2 Mental Maths Sheet 4
  • Year 2 Mental Maths Sheet 5
  • Year 2 Mental Maths Sheet 6
  • Year 2 Mental Maths Sheet 7
  • Year 2 Mental Maths Sheet 8
  • Year 2 Mental Maths Sheet 9
  • Year 2 Mental Maths Sheet 10

Looking for some harder Mental Math Worksheets?

The worksheets in this section have been designed for children at a Year 3 level.

The sheets follow the same format as the ones on this page, but are at a more advanced level.

  • Year 3 Mental Maths Tests (easier)

Mental Math Online Practise

If you are looking for some online practise of mental maths Year 2 facts, then we have several practise zones where you can test your knowledge of a range of maths facts and print out your results online.

There are certificates to win, and instant feedback on your progress.

  • Online Maths Practise

Year 2 Printable Math Games

Here you will find a range of free printable First Grade Math games at a level suitable for Year 2 children. All children like to play Math games, and you will find a good range of Math Games here for your child to play and enjoy.

The following games involve different Year 2 Math activities which you and your child can enjoy together.

  • 1st Grade Math Games

Year 2 Online Math Games

Looking for some cool online maths games to play at a Year 2 level?

Try the Primary games website where you will find a bank full of different games to play!

Using the link below will open the primary games website in a new browser window.

  • Prinary Games for Year 2

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Year 2 Maths Worksheets (age 6-7)

Hundreds of maths worksheets for children ages 6 and 7, covering counting, number, shape, time and much more. We also have a great selection of challenges and problem solving activities.

Each category has many resources within so why not jump in and explore the site?

Popular Resources

Have a look at some of our popular resources in this category.

Preview of worksheet Clothes shopping

How much did mum spend buying clothes for her child?

Preview of worksheet Find half and quarter of small numbers

Finding halves and quarters of small numbers.

Preview of worksheet Year 2 Assessment Paper

An assessment paper for children at the end of Year 2 (6-7 years old).Please note these are not intended to be used as a set of written questions where the child answers on paper in silence. The questions could be presented over a period of several days and can be read out loud. Encouraging discussion of the questions will give a much greater insight into the child's understanding.

Preview of worksheet Change from one pound (2)

A set of worksheets which concentrates on giving change from £1 when spending multiples of 5p.

Preview of worksheet Toy shopping

Finding the cost of yoyos, skateboards etc.

Preview of worksheet Stationery shopping

Finding the cost of pencils, scissors etc.

Preview of worksheet Halves, quarters and three quarters

Work out halves, quarters and three quarters of shapes and numbers.

Preview of worksheet Add 3 small numbers (1)

Use the number line to add three small numbers.

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  • 2 Year 2 Worksheets

worksheet for year 2 mathematics

The third grade is the start of multiplication, mixed fractions, and more complex number properties. As the math skills start becoming more complicated, students may need some extra help to truly grasp the concepts. Our teachers help fill the gaps in learning and offer their best tips in figuring out  

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Free worksheets, online interactive activitieis, flashcards, links and other resources to support mathematics teaching and learning in Year 2.

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Year 2 Maths

Welcome to www.year2maths.co.uk

Year 2 Maths is a branch of Primary Topics developed to provide worksheets, online interactive activities and other resources aimed at mathematics in Year 2.

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Year 2 Maths Worksheets

Year 2 Maths worksheets create a good resource for students to get inclined toward the subject. These worksheets not only make the experience an enjoyable one but also helps them gain more confidence in solving problems. With attractive pictures and clear fonts, these worksheets encourage the students to practice math problems with ease. Year 2 Maths worksheets are created using various fun puzzles and activities, colors, and shapes which helps them visualize the concepts.

Year 2 Maths Worksheets with Answers

The following links lead to the math topic pages that have year 2 Maths Worksheets pdfs . These can be downloaded easily and used for practicing questions related to the specific topic.

Benefits of Year 2 Maths Worksheets

Year 2 Maths worksheets guide students to practice Maths according to the curriculum they study at school. These can be solved at their own pace in the comfort of their homes since each child has a different level of comprehensive skills. Hence, these worksheets are designed by math experts to assist students in understanding the complexity of the questions.

Another advantage of these worksheets is that they can be downloaded easily and can be used whenever required. The layout and visuals are prepared by experts according to the age of the students. They cover basic concepts like addition, subtraction, multiplication, division, basic fractions , shapes, measurement , and so on.

How to Use Year 2 Maths Worksheets?

Year 2 Maths worksheets can be used easily by clicking on the link of the worksheet which can be downloaded. The links to year 2 Maths worksheets are shown in the table given above. These links lead to a page that has multiple worksheets related to the specific topic. All the worksheets provide an answer key that has a detailed solution for all the questions. This helps the students if they have a doubt or in case they want to cross-check the answer and the solution.

FAQs on Year 2 Maths Worksheets

What are year 2 maths worksheets.

Year 2 maths worksheets are documents that have a set of practice questions curated for the students studying in year 2. These worksheets are designed so that students get a chance to practice the questions related to the topics that they study. Each worksheet covers a separate topic and has questions that are arranged in increasing order of difficulty. Year 2 Maths worksheets include questions based on topics like numbers , addition , subtraction , multiplication and division , time , 2D shapes , 3D shapes and so on.

Where can I get Year 2 Maths Worksheets?

Year 2 maths worksheets are shown in a table given above on this page. These can be downloaded very easily using the following steps.

  • Choose the topic for which you want the worksheet.
  • Click on the links given above on this page.
  • As soon as you click on the link, it takes you to a page that has multiple worksheets related to the topic that is chosen by you
  • Click on the required worksheet and download it.

Why are Year 2 Maths Worksheets Useful?

Year 2 maths worksheets are useful because they help the students in practicing different types of questions related to the topic. Each topic has multiple worksheets that give the child sufficient practice. Another advantage of these worksheets is that they help younger students to be more focused once they get into a habit of regularly practicing questions in an organised way.

How to Solve Maths Word Problems in Year 2?

Maths word problems in year 2 can be solved using the following steps:

  • Step 1: Make a note of the quantities that are given.
  • Step 2: Identify what is missing and what needs to be calculated.
  • Step 3: Draw a picture of the problem which helps in understanding it better.
  • Step 4: Use the appropriate maths operation that needs to be used in the question and solve the questions with statements.

What all is covered in Time Worksheets in Year 2?

Time worksheets in year 2 include questions like telling the time in an analogue clock, drawing the hour hand to show the time that is given, matching the clock to the correct timings, the hour that comes before and after a particular hour, and so on. A detailed list of time worksheets is given in a table shown above on this page. All time worksheets can be easily downloaded from there and the questions can be practiced accordingly.

Do Year 2 Maths Worksheets have Solutions?

Yes, all year 2 maths worksheets have a step-wise detailed solution towards the end after the questions. The students can refer to these answers after they complete one worksheet. The solutions can be seen in case the students have a doubt or if they want to cross-check the answers.

The Mum Educates

Free Year 2 Place Value Maths Worksheets

Place Value

Bring the place value fun into your classroom with these amazing and handy worksheets for Year 2 children. The worksheets are beautifully illustrated and are JAM-PACKED with fun. All Year 2 place value printables are carefully designed to keep children busy and engaged while grasping the concepts in detail.

What is place value?

Place Value is the value of each digit. It is an important concept of maths that helps in calculations like addition, subtraction, multiplication, division and much more.

Example of Place value:

572 has 5 Hundreds, 7 tens and 2 ones.

The expanded form of 572 is 500+70+2

Also Read: Free Year 2 Subtraction Worksheets

Year 2 Place Value learning objectives:

Year 2 students need to learn the following learning objectives:

  • Read and write numbers to 100 in numerals and words.
  • Count forward and backwards in 2s, 3s, 5s, and 10s.
  • Children need to know the place value of 2 digit numbers (tens and ones)
  • Children need to recall and use addition and subtraction facts up to 20, also to derive and use related facts to 100.
  • To add and subtract mentally using pictorial representation, concrete objects to add a two-digit and a one-digit number.

How to use these worksheets?

Our wonderfully illustrated worksheets will help children practice the place value skills along with plenty of fun. The amazing worksheets will help reinforce the concepts of comparing numbers, 10 less and 10 more, true and false questions, 100 squares and much more.

Click on the images and download the PDF files.

10 more 10 less

More Year 2 resources:

If you found our Place value worksheets useful then you might want to take a look at the following resources:

  • Free KS1 Back to school activities
  • Story Setting Description writing frames
  • Free Year 2 Addition Worksheets
  • Free Year 2 Subtraction Worksheets

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Watch CBS News

How two high school students solved a 2,000-year-old math puzzle

By Bill Whitaker , Aliza Chasan , Sara Kuzmarov, Mariah Campbell

May 5, 2024 / 7:00 PM EDT / CBS News

A high school math teacher at St. Mary's Academy in New Orleans, Michelle Blouin Williams, was looking for ingenuity when she and her colleagues set a school-wide math contest with a challenging bonus question. That bonus question asked students to create a new proof for the Pythagorean Theorem, a fundamental principle of geometry, using trigonometry. The teachers weren't necessarily expecting anyone to solve it, as proofs of the Pythagorean Theorem using trigonometry were believed to be impossible for nearly 2,000 years.

But then, in December 2022, Calcea Johnson and Ne'Kiya Jackson, seniors at St. Mary's Academy, stepped up to the challenge. The $500 prize money was a motivating factor.

After months of work, they submitted their innovative proofs to their teachers. With the contest behind them, their teachers encouraged the students to present at a mathematics conference, and then to seek to publish their work. And even today, they're not done. Now in college, they've been working on further proofs of the Pythagorean Theorem and believe they have found five more proofs. Amazingly, despite their impressive achievements, they insist they're not math geniuses.

"I think that's a stretch," Calcea said.

The St. Mary's math contest

When the pair started working on the math contest they were familiar with the Pythagorean Theorem's equation: A² + B² = C², which explains that by knowing the length of two sides of a right triangle, it's possible to figure out the length of the third side.

When Calcea and Ne'Kiya set out to create a new Pythagorean Theorem proof, they didn't know that for thousands of years, one using trigonometry was thought to be impossible.  In 2009, mathematician Jason Zimba submitted one, and now Calcea and Ne'Kiya are adding to the canon.

Calcea and Ne'Kiya had studied geometry and some trigonometry when they started working on their proofs, but said they didn't feel math was easy. As the contest went on, they spent almost all their free time developing their ideas.

Ne'Kiya Jackson and Calcea Johnson

"The garbage can was full of papers, which she would, you know, work out the problems and if that didn't work, she would ball it up, throw it in the trash," Cal Johnson, Calcea's dad, said.

Neliska Jackson, Ne'Kiya's mother, says lightheartedly, that most of the time, her daughter's work was beyond her. 

To document Calcea and Ne'Kiya's work, math teachers at St. Mary's submitted their proofs to an American Mathematical Society conference in Atlanta in March 2023.

"Well, our teacher approached us and was like, 'Hey, you might be able to actually present this,'" Ne'Kiya said. "I was like, 'Are you joking?' But she wasn't. So we went. I got up there. We presented and it went well, and it blew up."

Why Calcea' and Ne'kiya's work "blew up"

The reaction was insane and unexpected, Calcea said. News of their accomplishment spread around the world. The pair got a write-up in South Korea and a shoutout from former first lady Michelle Obama. They got a commendation from the governor and keys to the city of New Orleans. 

Calcea and Ne'Kiya said they think there's several reasons why people found their work so impressive. 

"Probably because we're African American, one," Ne'Kiya said. "And we're also women. So I think-- oh, and our age. Of course our ages probably played a big part."

Ne'Kiya said she'd like their accomplishment to be celebrated for what it is: "a great mathematical achievement."

In spite of the community's celebration of the students' work, St. Mary's Academy president and interim principal Pamela Rogers said that with recognition came racist calls and comments. 

"[People said] 'they could not have done it. African Americans don't have the brains to do it.' Of course, we sheltered our girls from that," Rogers said. "But we absolutely did not expect it to come in the volume that it came."

St. Mary's Academy president and interim principal Pamela Rogers

Rogers said too often society has a vision of who can be successful.

"To some people, it is not always an African American female," Rogers said. "And to us, it's always an African American female."

Success at St. Marys 

St. Mary's, a private Catholic elementary and high school, was started for young Black women just after the Civil War. Ne'Kiya and Calcea follow a long line of barrier-breaking graduates. Leah Chase , the late queen of Creole cuisine, was an alum. So was Michelle Woodfork, the first African American female New Orleans police chief, and Dana Douglas, a judge for the Fifth Circuit Court of Appeals. 

Math teacher Michelle Blouin Williams, who initiated the math contest, said Calcea and Ne'Kiya are typical St. Mary's students. She said if they're "unicorns," then every student who's matriculated through the school is a "beautiful, Black unicorn."

Students hear that message from the moment they walk in the door, Rogers said. 

"We believe all students can succeed, all students can learn," the principal said. "It does not matter the environment that you live in."

Students in class at St. Mary's

About half the students at St. Mary's get scholarships, subsidized by fundraising to defray the $8,000 a year tuition. There's no test to get in, but expectations are high and rules are strict: cellphones are not allowed and modest skirts and hair in its natural color are required. 

Students said they appreciate the rules and rigor.

"Especially the standards that they set for us," junior Rayah Siddiq said. "They're very high. And I don't think that's ever going to change." 

What's next for Ne'Kiya and Calcea

Last year when Ne'Kiya and Calcea graduated, all their classmates were accepted into college and received scholarship offers. The school has had a 100% graduation rate and a 100% college acceptance rate for 17 years, according to Rogers.

Ne'Kiya got a full ride in the pharmacy department at Xavier University in New Orleans. Calcea, the class valedictorian, is studying environmental engineering at Louisiana State University. Neither one is pursuing a career in math, though Calcea said she may minor in math.

"People might expect too much out of me if I become a mathematician," Ne'Kiya said wryly. 

Bill Whitaker

Bill Whitaker is an award-winning journalist and 60 Minutes correspondent who has covered major news stories, domestically and across the globe, for more than four decades with CBS News.

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History Daily

History Daily

New Orleans teens solve 2,000-year-old math problem

Posted: May 11, 2024 | Last updated: May 11, 2024

<p>Teacher Michelle Blouin Williams initiated a math competition with a bonus question tasking students to develop a new proof for the Pythagorean theorem using trigonometry, without anticipating that anyone would successfully tackle the challenge.<br>  </p>   <p>She said, “I was just looking for some ingenuity.” <br>  </p>

Some ingenuity

Teacher Michelle Blouin Williams initiated a math competition with a bonus question tasking students to develop a new proof for the Pythagorean theorem using trigonometry, without anticipating that anyone would successfully tackle the challenge.  

She said, “I was just looking for some ingenuity.”   

<p>Calcea Johnson and Ne’Kiya Jackson exceeded Williams' expectations by successfully solving the challenge in 2023. <br>  </p>

Williams' expectations

Calcea Johnson and Ne’Kiya Jackson exceeded Williams' expectations by successfully solving the challenge in 2023.   

<p>These two teenagers, who were seniors at St. Mary's Academy in New Orleans, a renowned Catholic school for girls with impressive college acceptance and graduation rates, were featured on CBS News' "60 Minutes" to discuss their accomplishment. <br>  </p>

St. Mary's Academy

These two teenagers, who were seniors at St. Mary's Academy in New Orleans, a renowned Catholic school for girls with impressive college acceptance and graduation rates, were featured on CBS News' "60 Minutes" to discuss their accomplishment.   

<p>Initially enticed by the math competition's $500 reward, their determination to complete the task intensified as they delved into the complex bonus question. <br>  </p>

$500 reward

Initially enticed by the math competition's $500 reward, their determination to complete the task intensified as they delved into the complex bonus question.   

<p>Over a period of two months, these high school seniors dedicated themselves to completing their proof.<br>  </p>

Over a period of two months, these high school seniors dedicated themselves to completing their proof.  

<p>During an interview with "60 Minutes," CeCe Johnson, the mother of Calcea, said “It was pages and pages and pages of, like, over 20 or 30 pages for this one problem.”<br>  </p>

Pages and pages

During an interview with "60 Minutes," CeCe Johnson, the mother of Calcea, said “It was pages and pages and pages of, like, over 20 or 30 pages for this one problem.”  

<p>Her father, Cal Johnson, added, “Yeah, the garbage can was full of papers, which she would, you know, work out the problems and — if that didn’t work she would ball it up, throw it in the trash.”<br>  </p>

The garbage can

Her father, Cal Johnson, added, “Yeah, the garbage can was full of papers, which she would, you know, work out the problems and — if that didn’t work she would ball it up, throw it in the trash.”  

<p>Upon completion, the teachers at St. Mary's Academy acknowledged the significance of Calcea and Ne'Kiya's achievement and submitted their proof to the American Mathematical Society for recognition at a conference in March 2023, where the students presented their findings.<br>  </p>

Upon completion

Upon completion, the teachers at St. Mary's Academy acknowledged the significance of Calcea and Ne'Kiya's achievement and submitted their proof to the American Mathematical Society for recognition at a conference in March 2023, where the students presented their findings.  

<p>The Pythagorean theorem, at its core, states that knowing the lengths of two sides of a right triangle allows you to determine the length of the third side using the formula a² + b² = c². <br>  </p>

The Pythagorean theorem

The Pythagorean theorem, at its core, states that knowing the lengths of two sides of a right triangle allows you to determine the length of the third side using the formula a² + b² = c².   

<p>While commonly attributed to the Greek mathematician Pythagoras, historical evidence suggests its existence in Babylon and Iron Age India. This theorem finds practical applications in construction, architecture, navigation, and surveying.<br>  </p>

While commonly attributed to the Greek mathematician Pythagoras, historical evidence suggests its existence in Babylon and Iron Age India. This theorem finds practical applications in construction, architecture, navigation, and surveying.  

<p>A mathematical proof is a logical argument that demonstrates the truth of a mathematical theorem. American mathematician Daniel Kane likens proofs to essays, but rooted in mathematical concepts.<br>  </p>

A mathematical proof

A mathematical proof is a logical argument that demonstrates the truth of a mathematical theorem. American mathematician Daniel Kane likens proofs to essays, but rooted in mathematical concepts.  

<p>As per the "60 Minutes" segment, “there had been more than 300 documented proofs of the Pythagorean Theorem using algebra and geometry, but for 2,000 years a proof using trigonometry was thought to be impossible.”<br>  </p>

Using trigonometry

As per the "60 Minutes" segment, “there had been more than 300 documented proofs of the Pythagorean Theorem using algebra and geometry, but for 2,000 years a proof using trigonometry was thought to be impossible.”  

<p>Back in 1927, mathematician Elisha Loomis made a statement in his book "The Pythagorean Proposition." Loomis contended that a trigonometric proof of the theorem was impossible as it would create a circular argument.<br>  </p>

Mathematician Elisha Loomis

Back in 1927, mathematician Elisha Loomis made a statement in his book "The Pythagorean Proposition." Loomis contended that a trigonometric proof of the theorem was impossible as it would create a circular argument.  

<p>Stuart Anderson, a retired mathematics professor from Texas A&M University-Commerce, mentioned to Scientific American, “A lot of the basic trig ‘identities’ are nothing more than Pythagoras’ theorem.”<br>  </p>

Stuart Anderson

Stuart Anderson, a retired mathematics professor from Texas A&M University-Commerce, mentioned to Scientific American, “A lot of the basic trig ‘identities’ are nothing more than Pythagoras’ theorem.”  

<p>Loomis contended that attempting to use trigonometric functions to prove the Pythagorean theorem would result in a circular reasoning loop, as the functions themselves are built upon the theorem. This, according to Loomis, would constitute a fundamental mathematical mistake.<br>  </p>

Trigonometric functions

Loomis contended that attempting to use trigonometric functions to prove the Pythagorean theorem would result in a circular reasoning loop, as the functions themselves are built upon the theorem. This, according to Loomis, would constitute a fundamental mathematical mistake.  

<p>As reported by Scientific American, the teenagers challenged this notion during their presentation in 2023 and stated that “a trigonometric identity called the law of sines didn’t depend on the Pythagorean theorem and that they could use it to prove the theorem.”<br>  </p>

The law of sines

As reported by Scientific American, the teenagers challenged this notion during their presentation in 2023 and stated that “a trigonometric identity called the law of sines didn’t depend on the Pythagorean theorem and that they could use it to prove the theorem.”  

<p>Calcea and Ne'Kiya are now part of a select few who have achieved a similar milestone, such as mathematician Jason Zimba, who developed a new proof in 2009. They submitted their proof for the final peer review earlier this year and are actively working on crafting additional proofs.<br>  </p>

Final peer review

Calcea and Ne'Kiya are now part of a select few who have achieved a similar milestone, such as mathematician Jason Zimba, who developed a new proof in 2009. They submitted their proof for the final peer review earlier this year and are actively working on crafting additional proofs.  

<p>In recognition of their accomplishment, the teenagers were honored with the keys to the city of New Orleans and received commendations from the governor of Louisiana, along with other public acknowledgments.<br>  </p>

In recognition

In recognition of their accomplishment, the teenagers were honored with the keys to the city of New Orleans and received commendations from the governor of Louisiana, along with other public acknowledgments.  

<p>Despite the widespread recognition of their accomplishment which “blew up,” as Ne'Kiya expressed it, the two students maintain their humility and even chuckled at being labeled as geniuses.<br>  </p>

Widespread recognition

Despite the widespread recognition of their accomplishment which “blew up,” as Ne'Kiya expressed it, the two students maintain their humility and even chuckled at being labeled as geniuses.  

<p>Upon the revelation of their achievement, there were individuals who appeared surprised and skeptical, dismissing the news as untrue, as mentioned by St. Mary's president Pamela Rogers during the interview.<br>  </p>

Surprised and skeptical

Upon the revelation of their achievement, there were individuals who appeared surprised and skeptical, dismissing the news as untrue, as mentioned by St. Mary's president Pamela Rogers during the interview.  

<p>“They were saying, ‘Oh, they could not have done it. African Americans don’t have the brains to do it.’ ... People — have a vision of who can be successful. And — to some people, it is not always an African American female. And to us, it’s always an African American female.”<br>  </p>

African Americans

“They were saying, ‘Oh, they could not have done it. African Americans don’t have the brains to do it.’ ... People — have a vision of who can be successful. And — to some people, it is not always an African American female. And to us, it’s always an African American female.”  

<p>When questioned by interviewer Bill Whitaker about their thoughts on the significant reaction, Ne’Kiya said, “Probably because we’re African American, one. And we’re also women. So I think — oh, and our age. Of course our ages probably played a big part.”<br>  </p>

The significant reaction

When questioned by interviewer Bill Whitaker about their thoughts on the significant reaction, Ne’Kiya said, “Probably because we’re African American, one. And we’re also women. So I think — oh, and our age. Of course our ages probably played a big part.”  

<p>“I’d like to actually be celebrated for what it is. Like, it’s a great mathematical achievement,” she continued.<br>  </p>

Great mathematical achievement

“I’d like to actually be celebrated for what it is. Like, it’s a great mathematical achievement,” she continued.  

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https://educationhub.blog.gov.uk/2024/04/26/when-are-year-6-sats-2024-key-dates-for-parents-and-pupils/

When are year 6 SATs 2024? Key dates for parents and pupils

When are SATs

Year 6 pupils in England will soon be taking the key stage 2 (KS2) national curriculum tests, which are often referred to as SATs.  

The assessments are used to measure school performance and to make sure individual pupils are being supported in the best way possible as they move into secondary school .   

When are SATs?  

This year, SATs will take place over four days from 13 May to 16 May 2024.

The timetable is as follows:

What are the tests on?   

While pupils won’t be able to see what’s on the test beforehand, t he assessments only include questions on things that children should already have been taught as part of the national curriculum.  

You can find past papers on GOV.UK .  

As usual, there won’t be a test for English writing or science. Instead, this will be reported as a teacher assessment judgement.  

This is a judgement teachers will make based on your child’s work at the end of KS2.   

Does my child need to revise for SATs?  

Children shouldn’t be made to feel any unnecessary pressure when it comes to the KS2 assessments and t eachers will make sure that all pupils in their class are prepared.  

You should follow their general advice about supporting your child’s education throughout the year and ahead of the tests.  

While it is statutory for schools to hold the assessments, headteachers make the final decision about whether a pupil participates in them.   

Some pupils – for example those with special education needs or disabilities – may be assessed under different arrangements if these are more appropriate.   

If you have concerns about your child participating in the KS2 tests, you should speak to your school in the first instance.  

What if my child finds the SATs tests too difficult?  

It’s important to remember that one of the purposes of the key stage 2 assessments is to identify each pupil's strengths and the areas where they may have fallen behind in their learning as they head into secondary school.   

The results will help their new school determine in which areas your child needs the most support.   

The tests are designed to be challenging to measure attainment, including stretching the most able children. It means some pupils will find them harder than others.    

It takes three years to create appropriate tests. During the process, they’re rigorously trialled with year 6 pupils and reviewed by education and inclusion experts to make sure they’re the right difficulty level.   

The Standards and Testing Agency (STA) is responsible for developing the tests, and Ministers don't have any influence on their content.   

When will we find out the results of SATs?  

Schools will receive test results on Tuesday 9 July 2024.  

Before the end of the summer term, your child’s school will send you a report which will include test results and teacher assessment judgements.  

This should provide you with a good sense of the standard at which your child is working in each subject.  

The school will report your child’s test results as a scaled score for each subject. This is created from the number of marks your child scores in a particular test. A scaled score:  

  • below 100 means that your child may need more support to help them reach the expected standard;  
  • of 100 or more means that your child is working at, or above, the expected standard for the key stage.  

If your child is working below the overall standard of the key stage, or they have special educational needs, reporting will be different, and you should speak to your child’s teacher for more information.  

You can also find more information about  results at the end of key stage 2  on GOV.UK.  

You may also be interested in:

  • How we are helping to inspire primary school children about their future careers
  • What is the multiplication tables check and why is it important?
  • SATs leaflet for parents

Tags: KS2 , primary school , SATs , SATs 2023 , SATs results , Secondary School

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Year 2 Measurement Worksheets

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