These in-depth maths investigations are open-ended problem solving activities for Year 6 children. In-depth Investigation: Magic Multiplication Squares Children complete a magic multiplication square using their knowledge of number properties and relationships. They then explore factors and multiples to create a new multiplication magic square. In-depth Investigation: The Eights Have It Children multiply numbers starting with 9 by 9 and add single-digit numbers in a decreasing sequence. They identify and describe the patterns and start to explain them. In-depth Investigation: Awesome Answers Using a magic square to generate 3-digit numbers, children create divisions with dividends containing specified fractions. In-depth Investigation: Stunning Squares Children explore patterns in the squares of numbers with reversed digits to find pairs of ‘stunning squares’. In-depth Investigation: Geometry Genius Children use what they know about how to find the areas of triangles and parallelograms to find the areas of rhombi, kites and trapezia. In-depth Investigation: Get to the Root Children use their fluency in mental multiplication to explore the patterns of digital roots in multiplication. In-depth Investigation: Riveting Reversals Multiply 3-digit numbers with consecutive digits by a 2-digit number; reverse the 3-digit number and repeat. Find the difference between the two answers. In-depth Investigation: Why is it so? Children identify a pattern in the division of a total of six numbers created using the same 3 digits. They then use algebra to explain why it is so. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our Year 6 Maths Blocks. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

These in-depth maths investigations are open-ended problem solving activities for Year 5 children. In-depth Investigation: Prime Differences Children find out if prime numbers become less frequent as we consider sets of larger numbers. In-depth Investigation: Excellent Eights Children explore patterns when multiplying numbers with consecutive digits by 8. The PowerPoint can be used to guide your class through this investigation. In-depth Investigation: LCM Squares Children use trial and improvement to find the smallest possible total on a square of lowest common multiples. In-depth Investigation: Division Remainder Patterns Children look at patterns of remainders in 4-digit numbers when dividing by numbers 3 to 6. Can they establish a rule? In-depth Investigation: What an Odd Thing! Children create a triangle of odd numbers and identify patterns when rows are summed or their end numbers are averaged. In-depth Investigation: Remainder Runners Children divide 1234, 2345, 3456 by 3, 4, 5 … 12 and look for patterns in the remainders. In-depth Investigation: Reverse Digits, Same Product Children find the product of a pair of 2-digit numbers then reverse the digits of both numbers and find an identical product. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our Year 5 Maths Blocks. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

These in-depth Year 1 Place Value problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Partition teen numbers; compare numbers to 20 Count to 100 in 1s and 10s Compare/order numbers < 100 Count to 100 in 1s and 10s; say 1 or 10 more/less Place value in 2-digit numbers Compare and order 2-digit numbers using place value Order 2-digit numbers using place value; say 10 more/less. In-depth Investigation: Fill in the Box Children fill a matchbox with items and count them accurately. In-depth Investigation: Tricky Tracks Children use reasoning and logic to play ahead in playing a game on a 1-20 track. In-depth Investigation: Domino Digits Children find which numbers on a 1 - 100 grid they can make using dominoes - each domino can only be used once. In-depth Investigation: Pairs in Purses Children use reasoning and logic to work out pairs of 2-digit amounts that can be made in the two purses given only ten coins. In-depth Investigation: Calculator Capers Children create teens numbers using place value additions. In-depth Investigation: New Neighbours Children use digit cards to make 2-digit numbers between neighbouring multiples of 10. These problem-solving investigations are part of our Year 1 Place Value block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

These extra-support activities are designed to be used by a teacher or a TA with children who need extra support before they can access objectives for Year 4 Addition and Subtraction: Mental subtraction including counting up Mental addition and subtraction Subtraction: frog with 3-digit numbers Mental calculation: addition and subtraction including near multiples Mental addition and subtraction with single-digit numbers to big numbers Written subtraction Find the Gap Subtracting 2-digit numbers by using Frog (counting up), to give small answers, e.g. 53 - 47 and 70 - 55 (numbers either side of a multiple of 10, and subtracting from a multiple of 10). Perfect Pairs Using place value to add and subtract amounts of money (without crossing multiples of 10p and one pound) Frog Goes Further! Subtracting 2-digit numbers from 100, e.g. 100 - 65 Beginning to subtract 3-digit numbers from the next multiple of 100, e.g. 200 - 165 Swapping Digits Adding and subtracting 1s, 10s, 100s to/from 3-digit numbers How High Can You Jump? Adding and subtracting 1-digit numbers to and from 3-digit numbers Frogs Get Fitter Using counting up (Frog) to subtract pairs of 2-digit numbers Teach the Frog Using counting up (Frog) to subtract pairs of 2-digit numbers; Using counting up (Frog) to subtract pairs of 3-digit numbers within the same century, e.g. 352 - 327 These Extra Support Activities are part of Hamilton’s Year 4 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

These in-depth maths investigations are open-ended problem solving activities for Year 4 children. In-depth Investigation: Make 100 Given a pattern of four one-digit numbers, children attempt to make a total of exactly 100. In-depth Investigation: Total £10 Using only digits 1-9 without the ‘5’, children find all possible pairs of amounts to make £10. In-depth Investigation: Cats and Dogs Children work to solve a puzzle involving adding two 3-digit numbers. They find several possible solutions, and then invent their own puzzle. In-depth Investigation: Hole-y Subtractions Children create 3-digit palindromic numbers with a ‘hole’ (i.e. a zero) in the middle. They subtract 3-digit numbers with equal numbers of 1s, 10s and 100s and identify patterns in their answers. In-depth Investigation: Present Prices Children use logic and addition, along with some trial and improvement to solve a problem involving money. In-depth Investigation: Wonderful 1089! Children add two 3-digit numbers and subtract a pair of 3-digit numbers to find patterns. They use mathematical reasoning to begin to explain what they find. In-depth Investigation: Mobile Subtractions Children select 3 contiguous numbers from a mobile phone display and create a subtraction. In-depth Investigation: Subtraction Trios Children look for patterns in answers when subtracting 3-digit numbers from 4-digit numbers with consecutive digits. In-depth Investigation: Prime Addition Squares Children add sets of three 3-digit numbers to find patterns in a magic square based on prime numbers. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our Year 4 Maths Blocks. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Year 6 Place Value, Addition and Subtraction Practice worksheets differentiated for children working toward ARE, at ARE and at greater depth. All worksheets come with answers. Worksheets cover: Place value in 6-digit numbers Place 6-digit numbers on lines and round Column addition and estimation Column subtraction and estimation Mental and written calculation strategies Add, subtract & round 6-/7-digit numbers Understand/calculate negative numbers Strategies in mental & written calculation Use brackets and order of operations These practice worksheets come from our Year 6 Maths Blocks. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

These in-depth Year 3 Addition and Subtraction problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. These open-ended mathematical activities cover the following objectives: Using number facts to add/subtract Add/subtract: efficient mental strategies Using place value to add/subtract Mental calculation – complements to 100 Use different strategies to subtract two numbers Add 3-digit numbers using expanded addition Subtract 2-digit numbers from numbers over 100 using counting up In-depth Investigation: Puzzling Squares Children use reasoning skills to solve a number puzzle. They use numbers 0 to 7 to make a total of 10 on each side of a square. In-depth Investigation: Twisted Subtractions Children subtract a number which is the reverse of another, e.g. 62 - 26. In-depth Investigation: Magic 147 Children arrange the ‘nearly numbers’ in a square so that each row and column adds to Magic 147. In-depth Investigation: Closest to 100 Following simple rules children find ways to make 100 based on four dice throws. They practise adding four numbers with a total around 100 and use this to find a solution. In-depth Investigation: Magic Square Differences Children use the magic square to generate two-digit numbers and explore difference patterns. In-depth Investigation: Expanded Elevens Children use base 10 equipment to create 3-digit numbers to add using expanded column addition. In-depth Investigation: Pattern Subtractions Children subtract two-digit from three-digit numbers, by counting up, and look out for patterns in the numbers. In-depth Investigation: Next Door Additions Children add pairs of three-digit numbers and look for patterns in the digital roots of the answers. These problem-solving investigations are part of our Year 3 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Make your Y6 Spring Revision Term children’s best term ever! Revise all necessary grammar, punctuation and spelling for the Year 6 SPAG tests, as well as reading, comprehension and writing objectives within an inspirational term’s work that follows the sequence of Harry Potter and the Philosopher’s Stone. You can teach it all, or pick and mix. The 5-minute grammar revision sessions, for example, work brilliantly as stand-alone teaching elements. This Year 6 English revision block is designed to provide a truly inspirational term’s work. It is divided into eight themed units that guarantee an exciting and stimulating literary experience, as well as covering all necessary revision, including the grammar, punctuation and spelling for the SPAG tests as well as reading, comprehension and writing. Units 1-5 follow the sequence of Harry Potter and the Philosopher’s Stone, allowing the class to read the book alongside the teaching. The final units (6-8) select some of the best bits from the rest of the series, whilst avoiding spoilers. Finish off the term with a mock test and a celebration! You can also access this Harry Potter themed revision block on the Hamilton website.