maths problems solving year 2

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Year 2 Maths Worksheets UK Hub Page

Welcome to Math Salamanders Year 2 Maths Worksheets hub page.

In our Year 2 area, you will find a wide range of printable math worksheets and Maths activities for your child to enjoy.

Come and take a look at our dot-to-dot pages, or our maths games. Perhaps you would prefer our 2d shape worksheets, or learning about numbers using our number line worksheets?

Hopefully you will find something here to meet your child's maths requirements!

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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Year 2 Maths Learning

Here are some of the key learning objectives for the end of Year 2:

• know and use Place value up to 100
• Compare and order numbers up to 100
• Counting on and back in 1s and 10s
• count in 2s, 5s and 10s
• Position numbers on a number line up to 1000
• use addition and subtraction facts to 20
• use related facts for addition and subtraction
• add or subtract 1 or 10 from a 2-digit number
• add and subtract 2-digit numbers
• number bonds to 100 using tens only
• add three single-digit numbers
• recognise and make equal groups
• use the x symbol to write multiplication sentences
• use arrays and pictures to represent multiplication sentences
• know multiplication facts for the 2, 5 and 10 times table
• recognise and find a half, a quarter and a third
• understand and use fraction notation
• understand the equivalence of a half and two-quarters
• count on in halves, thirds and quarters up to 10
• count in pence: 1p, 2p ,5p, 10p and 20p
• count in pounds: £1, £2, £5, £10 and £20
• find a simple total or difference between two money amounts
• find the change from simple amounts
• tell the time: o'clock, half-past, quarter-past and to
• understand and compare durations of time
• compare and measure length, mass, volume, capacity and temperature
• read a variety of scales going up in 1s, 2s, 5s and 10s
• recognise 2D and 3D shapes
• count sides and vertices on 2D shapes
• count faces, edges and vertices on 3D shapes
• sort and make patterns with 2D and 3D shapes
• describe movement and turns
• make tally charts
• draw and interpret pictograms
• understand and use block diagrams

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 2 is generally equivalent to 1st Grade in the US.

On this page you will find link to our range of math worksheets for Year 2.

Quicklinks to Year 2 ...

• Place Value Zone

Operations Zone

• Mental Math Zone

Word Problems Zone

• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 2 Place Value Charts

Here you will find a range of Free Printable Place Value Charts for Year 2.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200

Place Value and Counting Worksheets

Here you will find a range of Year 2 Place Value Worksheets.

These Year 2 maths worksheets will help your child learn their place value, reading, writing and ordering numbers up to 100.

There are also some money worksheets involving counting in dimes and pennies to support place value learning.

• learn to order numbers to 100;
• learn to count in dimes and pennies;
• learn to read and write numbers to 100.

Year 2 Place Value Worksheets

• Place Value to 20 Worksheets
• Math Place Value Worksheets Tens and Ones
• Ordering 2-digit numbers Worksheets
• Greater than Less than Worksheets - up to 2 digit numbers
• Printable Counting Worksheets to 50
• Missing Number Chart 1-100
• Counting by 2s Worksheets
• Math Worksheets Counting by 1s 5s and 10s

Number Line Worksheets

Here is our selection of free printable number line worksheets for Year 2 pupils.

These first grade math worksheets will give your child a good grasp of place value and number sequences up to 100.

• count on and back by ones;
• position numbers to 100 on a number line.
• Number lines to 20
• Number lines to 100

Year 2 Mental Maths Zone

Here you will find a range of printable mental math sheets designed especially for Year 2 children.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, solving word problems and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 2 Printable Mental Maths

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Year 2 Addition Worksheets

Here you will find a range of Free Printable Addition Worksheets to support Year 2.

The following first grade math worksheets involve adding different amounts.

• learn their addition facts to 12+12;
• learn to solve an addition fact where one of the addends is missing;
• learn to add numbers in columns up to 100.
• Number Bonds to 10 and 12
• Addition Sentences to 12
• Addition Fact Practice to 12
• Addition Facts to 20 Worksheets
• Adding tens
• Addition Word Problems
• 2 Digit Addition Without Regrouping
• 2 Digit Addition Worksheets With Regrouping
• Free Addition Worksheets (randomly generated)

Year 2 Subtraction Worksheets

Here you will find a range of Year 2 Subtraction Worksheets.

The following worksheets involve using the Math skills of subtracting.

Using these Year 2 maths worksheets will help your child to:

• learn their addition and subtraction facts to 12;
• learn to subtract 2 digit numbers.
• Subtraction Facts to 12
• Subtracting tens
• Subtraction Word Problems
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• Free Subtraction Worksheets (randomly generated)

Addition & Subtraction Worksheets

If you need to mix and match addition and subtraction fact questions within the same sheet, then use this section here.

The addition and subtraction worksheets involve counting on and back with numbers to 12.

• Math Activities Addition and Subtraction to 12
• Add and Subtract 10 Worksheets
• Addition Subtraction Worksheets (randomly generated)
• Addition and Subtraction Problems

Year 2 Maths Word Problems

Here you will find a range of math word problems aimed at Year 2 level. Each problem sheet is based on an interesting theme such as parties or the seaside.

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.
• Maths Problems for Year 2

Longer Math Problems

• Year 2 Maths Problems (1st Grade)

Year 2 Geometry Worksheets

Here is a range of free geometry worksheets for Year 2 pupils.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 2 Geometry Worksheets (1st Grade)

Measurement Zone, including Time & Money

Year 2 measurement worksheets.

Here is our selection of measurement worksheets for Year 2 pupils.

These sheets involve reading scales going up in ones to find the weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 2 Measurement Worksheets (1st Grade)

Year 2 Money Worksheets

Here you will find a range of free printable First Grade Money Worksheets.

The following worksheets involve counting different amounts of money in pennies, nickels and dimes.

• learn the names and values of the US coins;
• learn to count up different amounts of money to £1 in coins.
• Free Counting Money Worksheets UK Coins (easier)
• Free Money Worksheets UK Coins up to £1

Printable Money Resources

• Printable Money Flashcards
• Kids Counting Money Dominoes

Telling the Time Worksheets

Here is our selection of telling the time worksheets for 1st grade.

• read o'clock and half-past times;
• convert o'clock and half-past times to digital;
• draw clock hands correctly to mark out o'clock and half-past.

The year 2 maths worksheets in this section will help your child learn to tell simple times on an analogue clock.

• Telling Time Worksheets o'clock and half-past
• Clock Worksheets - Quarter Past and Quarter To

Year 2 Bar Graph Worksheets

Here is our selection of bar graphs for first graders.

These Year 2 maths worksheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones.

Using these sheets will help children to understand how bar graphs work.

• Year 2 Picture/Bar Graphs (First Grade)

Fun Zone: Puzzles, Games and Riddles

Year 2 Maths Games

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

• Year 2 Maths Games (First Grade)

Year 2 Maths Puzzles

Here you will find a range of printable Year 2 level math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition and subtraction facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• develop thinking and reasoning skills;
• develop perseverance.
• Year 2 Maths Puzzles (1st Grade)
• Dot to Dot up to 50

Math Salamanders Year 2 Maths Games Ebook

Our Year 2 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 2 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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National Curriculum In England: Mathematics Programmes Of Study

Find help from our team of math teachers who are here to help struggling students with their math skills. Find on-demand videos for every second-grade skill to teach students how to best tackle math problems. Teachers break down the concepts in an easily understandable format for younger students who need help with their math skills.

• Find video tutorials for second-grade math skills in geometry, time, fractions, and others.
• Students learn to use the available tools to best answer the math questions. 
• Videos pop-up automatically when a student is having difficulty answering the questions.

Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 2 Maths Worksheets

Our Year 2 Maths Worksheets are an excellent resource for helping pupils (aged 6-7) develop their foundational maths skills. With the Cazoom Maths Worksheets , children in year two can strengthen their knowledge of critical concepts such as addition, subtraction, measurements, shapes and more. These worksheets cover various topics, from counting to introductory algebra and geometry, providing exercises that improve problem-solving and critical thinking skills. Moreover, they offer the opportunity to focus on different aspects of mathematics, including times tables practice and mastery of various equations. Regular use of these year 2 maths PDF worksheets can contribute significantly towards a student’s academic success by encouraging active participation in the learning process. Our maths worksheets are used by over 50,000 teachers, parents and schools worldwide!

MATHS WORKSHEETS FOR YEAR 2 STUDENTS

Try some free sample year 2 maths worksheets

Outstanding Year 2 Maths Worksheets

• Separate answers are included to make marking easy and quick.
• Over 300 pages of the highest quality year 2 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Single user licence for parents or teachers. Separate school licences are also available.
• Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

List of Topics

See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

• Adding to a Single Digit
• Adding to a Two Digit Number
• Adding to a Three Digit Number
• Adding Three Numbers
• Number Bonds up to 20
• Number Bonds over 20

SUBTRACTION

• Single Digit Subtraction
• Two Digit Subtraction
• Three Digit Subtraction
• Working with the Difference
• Multiplication and Division worksheets
• Number and Place Value Worksheets
• Fractions, Decimals and Percentages

MEASUREMENT

• Metric Measures
• Area and Perimeter
• Properties of Shapes
• Position and Direction
• Transformations

ALGEBRA & STATISTICS

45 year 2 maths questions

Learn how to master year 2 maths word problems with these 45 maths questions! Answers included.

Author Michelle Griczika

Published February 2024

• Key takeaways
• Addition & Subtraction : Adding and subtracting numbers is like solving puzzles and helps us with real-life situations.
• Word Problems : Solving word problems makes maths fun and helps us become better readers and problem solvers.
• Place Value : Understanding place value helps us read and write numbers correctly and compare their values.
• Measurement & Time : Measuring objects and telling time help us understand the world around us and manage our daily routines.
• Geometry (Shapes) : Recognizing shapes and their properties helps us see the world in a new way and understand how things are put together.

Table of contents

• Addition and Subtraction
• Word Problems
• Place Value
• Geometry (Shapes)

Did you know that ladybugs have spots on their backs?

If a ladybug has 2 spots on its back and it gets 1 more spot, how many spots will the ladybug have in total?

The lady bug will have 3 spots!

Year 2 maths word problems are like fun puzzles that help us use our maths skills to solve real-life situations. They are essential to year 2 maths, and practising them can help us become maths superstars!

• We can use addition and subtraction to determine how many cookies are left in a jar, how many friends are on the playground, or even how many apples are in a basket.
• Understanding place value is like being a number detective. It helps us read big numbers and know the value of each digit, so we can count things like how many toys we have or how many days until our birthday.
• Measuring things and telling time is like being an explorer in the real world. We can measure how tall we are, how long a pencil is, or even how much water is in a glass. And knowing how to read a clock helps us know when it’s time for fun activities or when it’s time to go to bed.
• Shapes are like building blocks of the world around us. We can learn about squares, triangles, and circles by looking at objects we see every day. It’s like being a shape detective, finding out how many sides and corners they have, and how they fit together like puzzle pieces in year 2 maths questions.

All of these skills are necessary for year 2 maths practice! Use these 45 maths questions to go over important maths skills needed to strengthen your student’s understanding and knowledge.

Today, we are going to practise different year 2 maths skills that cover measurement, addition and subtraction, and more! Once you are done, check your work with our answer sheet!

Section 1: Addition & subtraction

Section 2: word problems, section 3: place value, section 4: geometry (shapes), section 5: time.

What time is the clock below telling?

Time answer sheet

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Lesson credits

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching first and fifth grades coupled with her double certification in elementary and early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

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Much of their learning will come from exploring with objects to solve problems practically and there are simple things you can do at home to support their development.

How to help at home

You don’t need to be an expert to support your child with maths or help them develop a good sense of number! Here are three simple, but effective learning ideas that you can try with your child using everyday items at home.  

1. Partition numbers

Partitioning means to break numbers into parts. Use objects, such as straws grouped in tens, to show numbers split into tens and ones. How many ways can your child find to partition a number?

For example, 54 could be 50 + 4, 40 + 14, 30 + 24, 20 + 34, or 10 + 44.

2. Tell stories

Make up addition and subtraction stories together. For example: Two badgers, three hedgehogs and a toad have a picnic. How many animals are there altogether? Four rabbits join in. How many are there now? Two animals go home. How many are left?

3. Play shops

To help your child get used to the value of different coins and notes, use real money to play shops. Price up some toys and take turns to be the customer who pays and the shopkeeper who works out the change.

You’ll find more activity ideas in our Kids’ activities section .

What your child will learn at school

Number & place value in year 2 (age 6–7).

In Year 2, children will be expected to recognise tens and ones in 2-digit numbers (for example 23 has 2 tens and 3 ones) and use these to order numbers to 100. This includes:

• counting in steps of 2, 3, 5 and 10
• using more than (>), less than (<) and equals (=) symbols to compare numbers
• using place value and number facts to solve problems.

More information and activity ideas for Year 2

Addition & subtraction in Year 2 (age 6–7)

In Year 2, children will be expected to be able to solve addition and subtraction problems using numbers with one and two digits. This includes:

• knowing and using addition and subtraction facts up to 20 and working out related addition and subtraction facts to 100
• adding and subtracting numbers using objects, pictures and drawings, and also solving these problems mentally
• understanding that addition and subtraction have an inverse relationship, i.e. they undo each other, and using this to check their calculations.

 More information and activity ideas for Year 2

Multiplication & division in Year 2 (age 6–7)

In Year 2, children will be expected to use a range of methods to solve multiplication and division problems, including using practical resources and mental methods. This includes:

• knowing and using multiplication and division facts for the 2, 5 and 10 times tables
• recognising and identifying odd and even numbers
• using the symbols ×, ÷ and = to record multiplication and division calculations.

Fractions in Year 2 (age 6–7)

• finding fractions of lengths, shapes, sets of objects and quantities

Geometry in Year 2 (age 6–7)

In Year 2, children will be expected to be able to compare and sort common 2D and 3D shapes and everyday objects and continue patterns of shapes. This includes:

• describing 2D shapes including number of sides and lines of symmetry
• describing 3D shapes including number of faces, edges and vertices
• describing turns using clockwise, anti-clockwise and right angles.

Measurement in Year 2 (age 6–7)

In Year 2, children will be expected to use standard units to measure length, mass (weight), capacity and temperature, compare intervals of time and solve simple problems with money. This includes:

• comparing and ordering measures such as metres (m), centimetres (cm), kilograms (kg), grams (g), degrees Celsius (°C), litres (l) and millilitres (ml)
• telling the time to five minutes, including quarter to and quarter past
• choosing coins or notes to make a given amount of money and working out change.

Statistics in Year 2 (age 6–7)

In Year 2, children will begin to record, collate, organise, and compare information using simple ways to present data. This includes:

• interpreting and constructing simple pictograms, tally charts, block diagrams, and tables
• counting objects in categories to sort data
• asking and answering simple questions about data.
• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

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.

Finding halves and quarters of small numbers.

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.

How much did mum spend buying clothes for her child?

Finding the cost of yoyos, skateboards etc.

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

A further look at reading clock faces to the half hour.

Finding the cost of pencils, scissors etc.

Beginning to understand division as sharing equally.

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Problem-solving maths investigations for year 2.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 2 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 2 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 2:

• Individually, they are incorporated into every unit in our Year 2 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 2 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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I See Problem-Solving - Y2

The eBook I See Problem-Solving - Y2 gives coherent sequences of mathematical problem-solving tasks to build understanding and deepen learning. The initial tasks in each 'task family', with visual representations, allow children to build confidence and practice key skills. Then the challenges are opened up and extended! The ultimate resource for building children as problem-solvers.

Download I See Problem-Solving - Y2, Task Build-Up (PowerPoint)

Download I See Problem-Solving - Y2, Task Build-Up (PDF)

The purchase price is £30  (which includes VAT) for the PDF digital download. I See Problem-Solving - Y2 Sample provides 3 free sample task families for you to try out.

For each 'task family', the Task Build-Up examples introduce children to the format of the activities and help to build the key skills step-by-step. Children are able to practice these skills using the introductory tasks in each task family. Visual representations are used and misconceptions are addressed. Then, the tasks become progressively more open and extended. This will ensure that all children are both supported and challenged. It will give all children the excitement of engaging in rich problem-solving!

The 28 Task Families of I See Problem-Solving - Y2 , written by Gareth Metcalfe, cover all areas of the English mathematics curriculum. This corresponds to US Grade 1. To purchase, click on the link below. If you need any assistance with ordering, please email [email protected].

Online Training: Inspiring Mathematical Thinking Using I See Problem-Solving - Y2

You can access the recording of this 60-minute online training session by emailing [email protected] stating the name of your school and the number of people who will view the recording. The cost is £15+VAT per person. This video gives an overview of the session:

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AIMS Mathematics

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Solution formula for generalized two-phase Stokes equations and its applications to maximal regularity: Model problems

• Naoto Kajiwara , 
• Applied Physics Course, Department of Electrical, Electronic and Computer Engineering, Gifu University, Yanagido 1-1, Gifu, Gifu 501-1193, Japan
• Received: 11 February 2024 Revised: 13 May 2024 Accepted: 15 May 2024 Published: 29 May 2024

MSC : 35D35, 35B45, 35K51

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In this paper, we give a solution formula for the two-phase Stokes equations with and without surface tension and gravity over the whole space with a flat interface. The solution formula has already been considered by Shibata and Shimizu. However, we have reconstructed the formula so that we are able to easily prove resolvent and maximal regularity estimates. The previous work required the assumption of additional conditions on normal components. Here, although we consider normal components, the assumption is weaker than before. The method is based on an $ H^\infty $-calculus which has already been applied for the Stokes problems with various boundary conditions in the half-space.

• solution formula ,
• resolvent estimate ,
• maximal regularity ,
• two-phase Stokes equations

Citation: Naoto Kajiwara. Solution formula for generalized two-phase Stokes equations and its applications to maximal regularity: Model problems[J]. AIMS Mathematics, 2024, 9(7): 18186-18210. doi: 10.3934/math.2024888

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How a 12-Year-Old Girl Is Teaching College Math Online

A 12-year-old Chinese girl is causing a local buzz by teaching college-level math problems online .

The South China Morning Post (SCMP) recently spotlighted an influencer named ‘Gu’ who tackles college-level math problems on Douyin, China’s version of TikTok. With 2.9 million followers, Gu has gained significant popularity on the platform.

According to the report, her videos delve into various math problems, encompassing topics from functions to calculus.

Gu’s extraordinary talent in mathematics was nurtured by her keen interest in the subject from a young age. She initiated her video-sharing journey to illustrate her mathematical methods while exploring diverse learning approaches.

Gu’s mother told the media, “Initially, I suggested that she record videos explaining problems to enhance her understanding of math.”

Gu’s first video in 2022 focused on middle school-level math problems, characterized by her innocent and lively tone.

Read more: Cash for Missiles: North Korea Rakes in Millions Through Cyber Attacks

An increasing number of people are seeking her guidance, and she diligently records her problem-solving process in 3 to 5-minute videos daily.

One viewer remarked, “Problems that used to puzzle me in high school are crystal clear after watching her videos.”

A college student jokingly mentioned, “I find myself depending on a 12-year-old to explain math to me.”

In elementary school, Gu is considering joining the International Mathematical Olympiad, a renowned math competition usually for college students.

Her arrival has stirred debates online within China. A netizen doubted her abilities, commenting, “Geniuses are once in a century,” and suggesting, “There must be a team backing her.”

Conversely, a netizen lauding Gu’s problem-solving skills stated, “If she couldn’t comprehend these mathematical concepts herself, she wouldn’t be able to articulate them.”

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Aegis | Harford Community College holds two ceremonies…

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Aegis | Harford Community College holds two ceremonies for 66th graduation

This year, the college held two ceremonies to recognize all August and December 2023 graduates, as well as May and August 2024 candidates for graduation in the college’s associate degree and certificate programs.

Commencement ceremonies were held at 10 a.m. for graduates of the Arts and Humanities and the Behavioral and Social Sciences divisions; and at 2 p.m. for graduates of the Business and Applied Technology, Nursing and Allied Health Professions, and Science, Technology, Engineering and Math divisions.

Xiomara Bradden, a graduate of Harford Community College with an associate degree in Political Science and International Relations, delivered the student graduate address at the 10 a.m. ceremony. Bradden, a member of the Phi Theta Kappa Honor Society and president of the student multicultural club, will continue her education at the University of Maryland.

Alaki Wellington, a graduate of Harford Community College with an associate degree in Psychology, delivered the student graduate address at the 2 p.m. ceremony. Wellington, a member of the Honor’s Program and Psi Beta Honor Society and served as treasurer of the Psi Beta Psychology Club, will transfer to Towson University in the fall.

Olivia Borkowski-Johnson was presented with the Outstanding Student Leadership Award, which recognizes a student with a minimum grade-point average of 3.0 and has made overall contributions to Harford Community College and the community. Borkowski-Johnson, who earned an associate degree in Nursing, will continue her education at Towson University.

Anthony C. Comes was presented with the 2024 Distinguished Alumni Award which honors the achievements of former students who has had success in their chosen profession as well as shown commitment to the community and interest in HCC.

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Aegis | Taste of Harford fundraiser draws sold-out crowd, raises more than $15,000

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• Education, training and skills
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Key stage 2 tests: 2024 mathematics test materials

Mathematics test materials administered to eligible pupils at the end of key stage 2 in May 2024.

2024 key stage 2 mathematics Paper 1: arithmetic

Ref: ISBN 978-1-83507-032-1, STA/24/8817/e

PDF , 543 KB , 20 pages

2024 key stage 2 mathematics Paper 2: reasoning

Ref: ISBN 978-1-83507-033-8, STA/24/8818/e

PDF , 2.46 MB , 24 pages

2024 key stage 2 mathematics Paper 3: reasoning

Ref: ISBN 978-1-83507-034-5, STA/24/8819/e

PDF , 321 KB , 24 pages

2024 key stage 2 mathematics - administering Paper 1: arithmetic

Ref: ISBN 978-1-83507-145-8, STA/24/8830/e

PDF , 224 KB , 4 pages

2024 key stage 2 mathematics - administering Paper 2: reasoning

Ref: ISBN 978-1-83507-146-5, STA/24/8831/e

PDF , 247 KB , 8 pages

2024 key stage 2 mathematics - administering Paper 3: reasoning

Ref: ISBN 978-1-83507-147-2, STA/24/8832/e

PDF , 248 KB , 8 pages

2024 key stage 2 mathematics mark schemes

Ref: ISBN 978-1-83507-035-2, STA/24/8820/e

PDF , 1.13 MB , 40 pages

2024 copyright ownership: key stage 2 national curriculum tests

Key stage 2 mathematics tests were administered in schools in May 2024. Test administration instructions and mark schemes are also provided.

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Wake up with a Smile

2-year-old goes viral for solving mind-blowing math equations on “america’s got talent,” watch.

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A 2-year-old math enthusiast is going viral for his jaw-dropping number skills.

An adorable toddler named Devan visited the stage of America’s Got Talent , which premieres tonight (May 28), to showcase his math skills for judges Simon Cowell, Sofía Vergara, Heidi Klum, and Howie Mandel.

Devan auditioned for a spot as a contestant this season. While we don’t know if he was successful yet, a preview of his apperance proves that the 2-year-old is a tiny genius.

View this post on Instagram A post shared by America's Got Talent – AGT (@agt)

An audition clip shows the judges asking Devan to first solve more simple math questions—though they are not simple for a 2-year-old. Then they gradually made the equations more challenging. The video doesn’t reveal if Devan answers his final questions correctly. We have to tune in to see how it turns out.

The 2-Year-Old Started Showing Interest In Math At Only 4 Months Old

Devan has been amassing amazed fans with his Instagram and TikTok accounts, Devan Loves Numbers. He currently has almost 900K followers on IG. And he has over 1.3 million on TikTok, which is how he ended up on the show.

“We had posted him on TikTok and it went viral,” Devan’s dad, Duane, told Long Island Press . “One of the producers had seen it and reached out to us saying he thought Devan was a good fit for America’s Got Talent .”

“At first, we thought America’s Got Talent was only for singers and acting performances. And I was not sure how a 2-year-old doing math would be on the show,” he continued. “But, Devan assured us that he would be great.”

Duane shared that his son has been into numbers for nearly his entire life. His parents noticed Devan’s curiosity when he was only a few months old.

“At 4 months old we realized his love for numbers,” Duane continued. “When we were showing him learning shows, if we would change the channel from the math shows, he would start to cry and when we would change it back he would stop.”

The tot is currently mastering subtraction, addition, division, and multiplication. He’s also doing well with Roman numerals and exponents.

“It is never too early to start teaching your child numbers. Devan is proof of that. And we just want to inspire kids, parents, and soon-to-be parents that when you start from an early age this is the result that you will get,” he noted.

Watch the 2-year-old showcase his math skills when America’s Got Talent premieres tonight at 8 PM EST on NBC.

You can find the source of this story’s featured image here .

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2-year-old Elmont math prodigy 'Baby Dev' appearing on 'America's Got Talent'

Two-year-old Baby Dev, pictured with his father, shows off his math skills on "America's Got Talent." Credit: NBC/Trae Patton

A 2-year-old math prodigy from Elmont will be among the acts when NBC's variety competition “America’s Got Talent” returns for its 19th season Tuesday at 8 p.m. 

In TikTok videos that have garnered as many as 36 million views apiece, Devan Defreitas, known as Baby Dev, joyfully does mathematics equations — 14 x 12, anyone? — on dry-erase boards, sounding out each number as he does so. One video shows him flawlessly identifying Roman numerals.

Another has him solving word problems: “Mama gave Devan $30 and Dada gave Devan another $10. How much money does Devan have?” With no coaching, he writes “$30 + $10 = $40.” Where numbers are concerned, this pre-K kid could probably compete on “Are You Smarter than a 5th Grader?”

Dad Duane Defreitas says he still is processing all the attention coming his family’s way —including remote appearances on “CBS Mornings” with Gayle King and NBC’s “The Kelly Clarkson Show” — since the first video went up in September. “Sometimes I'm just kind of like, ‘Oh, it's nothing,’ ” Defreitas, 44, told Newsday. “But then it's like, ‘Wow, is this really happening?’ ”

Defreitas had never had a TikTok account, he said, “but you always hear about TikTok through friends or whatever. That's the thing these young kids are into nowadays. So I said, ‘Hey, why not make one for Devan and see what happens?’ ” The videos went viral and “not too long after that, the producers from AGT reached out to us.”

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Defreitas, who also has an 8-year-old son and 10-year-old daughter in Mount Sinai “with my first two kids' mother,” asked that Devan’s mother not be named. But she was, he says, part of that day when they first glimpsed Devan’s instinct for math.

“He had a slight speech delay,” Defreitas said, “so he didn't say ‘Mama, Dada.’ And one day he was watching one of his number videos and they were singing the number-seven song, and he just blurred out, 'Seven! Seven!' ” as his first words. “And his mother and I just looked at each other with our eyes open and we actually caught that on video, too,” when he said it again.

Defreitas, who was born in Brooklyn and raised in Queens, played football at Flushing High School and later at Marist College in Poughkeepsie. He left that school to get an associate degree at Nassau Community College, he says, and afterward enrolled at Manhattan’s Fashion Institute of Technology. He left there to intern for a fashion company, and when the internship ended, rather than return to school he followed in his father Lincoln’s footsteps as an NYPD officer.

Beginning 2005, Defreitas served at Transit District 20 in Jamaica, Queens. He moved to Hempstead around 2010 and retired from the force in 2014 when “I tore my Achilles tendon while affecting an arrest, when somebody resisted arrest. … I heard a loud pop” and felt a pain “like bowling ball dropped from the sky and fell on my ankle.”

He says he still walks with a limp — “some days are better than others” — and with his retirement pension decided “I'm just going to spend time with my kids and raise my kids. And that's exactly what I do.” He moved to Bay Shore and then to Commack, before settling in Elmont in 2019 — keeping the Commack house to rent out on Airbnb and otherwise use as a second home.

There, Devan “hangs out in the pool. He loves to swim. And there are a lot of farms out there, and he loves animals.”

He also enjoyed being on AGT, his dad says. “He had never been on a stage so I was a little worried how he would react. But he loved the crowd. He loves being cheered on. He loves when we clap for them. So he soaked everything up and loved it.”

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Lawrence school board approves $17M capital improvement plan, plus new curriculum resource for elementary math

photo by: Kim Callahan/Journal-World

The Lawrence school board holds its meeting on Tuesday, May 28, 2024. A sign language interpreter is at right.

The Lawrence school board on Tuesday approved the district’s approximately $17 million capital improvement plan for 2024-25 by a vote of 7-0, and also unanimously approved a five-year purchase agreement for a new curriculum resource for teaching elementary math.

The capital improvement plan, to be funded principally out of the district’s Capital Outlay Fund, is simply an overview of projects — basically a large, yearly to-do list — related to building maintenance, renovation, equipment procurement, technological needs and other items.

As Cynde Frick, the district’s executive director of finance, noted, any particular project under the plan’s umbrella, if it exceeds $20,000, would be formally bid and brought to the board separately for approval.

In a presentation to the board, Chief Operations Officer Larry Englebrick highlighted some of the district’s most pressing needs, such as replacing nine district vehicles, including four student vans for the two high schools and a one-ton box truck for food services, as well as four cargo vans; completing installation of infrastructure that would allow greater internet connectivity; replacing dated computers in middle school labs; replacing aging HVAC and boiler units, as well as worn roofing material at a handful of elementary schools; resurfacing tennis courts at the high schools; leasing copier equipment and other items. Englebrick noted that the particulars of the plan could change as needs arise.

In all, the general breakdown of the $17 million plan approved by the board is as follows: $8.8 million for facilities, $4.6 million for technology, $1.6 million for equipment and furniture, $875,000 for trade wages, $755,000 for discretionary spending at schools and $375,000 for instructional and athletic-related items, such as musical instruments and exercise equipment.

The plan represents an approximately $2 million increase over last year’s plan.

Frick told the board that spending the $17 million would leave nearly $11 million in the district’s capital outlay fund, which is primarily fed by revenue generated by the district’s tax levy of 8 mills. She said the financial organization Moody’s recommends maintaining an unencumbered cash balance of $8 million.

The board also heard a presentation from a group of educators who had been tasked with finding a new elementary math curriculum after the previous curriculum resource, “Math Expressions,” stopped publication and the need arose to address stagnating math performance in elementary schools.

The team researched options for the better part of a year and eventually landed on a hands-on program called “Open Up Math.” Over 70 local educators in five buildings participated in the pilot program this past spring and reported rave reviews to the board, with one instructor, Cynthia Emery of Quail Run Elementary, telling board members her young students were now proudly calling themselves “math nerds.”

The nonprofit’s curriculum program, which is said to “center equity,” focuses on a conceptual vs. a procedural approach to mathematics and prizes problem-solving and math “discussion” over more traditional methods like rote memorization.

The team also praised the program’s ability to be “customized” and its emphasis on professional development for teachers.

“It hasn’t been since 2010 (that) we went through a curriculum review in elementary math,” Denise Johnson, director of Elementary Curriculum, told the board, before the board approved the purchase agreement for a total cost of $723,849.

Unionized classified staff members in red shirts attend the Lawrence school board meeting on Tuesday, May 28, 2024, where they urged the board to support a wage increase of $1.20 an hour.

Before the business portion of the meeting, the board heard from unionized classified staff members, primarily paraeducators, who pressed board members to address low wages in their ranks. Dozens of union members attended the meeting, and a handful urged the board during general public comment to support raising the hourly wage by $1.20.

Union members who said they made between $20,000 and $30,000 a year for demanding and essential work spoke of chronic understaffing and high turnover due to low wages.

As contract negotiations continue, board president Kelly Jones acknowledged the group’s presence and pleas.

“I want to recognize all the red shirts in the room,” she said, referring to the union members’ matching T-shirts. “We see you and appreciate you.”

Superintendent Anthony Lewis at meeting’s end also emphasized that staff wages were a priority for him.

K-12 Education

Construction is underway on new Eudora Early Learning Center; school district’s program, with unique features, to serve students countywide

Lawrence school board to consider $17 million capital improvement plan, plus curriculum resource for elementary math

PHOTOS: 2024 Free State Commencement Ceremony

Woodlawn Elementary in North Lawrence celebrates its building’s 100th anniversary

North Lawrence’s Woodlawn Elementary, recently facing closure, celebrates 100 years Saturday and looks to the future

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