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 maths investigations are open-ended problem solving activities for Year 4 children. In-depth Investigation: Doubling forever Children double numbers up to 20 and look for duplicate sequences. In-depth Investigation: Doubling forever Children double numbers up to 20 and look for duplicate sequences. In-depth Investigation: Magical Nines Children look for patterns when multiplying ‘nearly numbers’ by 9 using mental multiplication strategies. In-depth Investigation: Table Digital Roots Children find the digital roots of multiples of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. They identify patterns and relate these to what they know of numbers. In-depth Investigation: Rocking Remainders Children divide 11, 22, 33… 99 by 3, 4, 5 and look for patterns in the remainders. In-depth Investigation: Race to 200 Children apply knowledge of factors within the 2, 3, 4, 5, 9 and 10x tables. In-depth Investigation: Set Square Use digits 1-9 once only to complete a calculation grid with given answers for each row and column. 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.

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.

These in-depth maths investigations are open-ended problem solving activities for Year 4 children. In-depth Investigation: No Zero Children investigate how many numbers between one and ten thousand have a zero. They use their understanding of place value in numbers with up to 4-digits. In-depth Investigation: Magic Chains Children use their knowledge of inverse operations to quickly work out a sequence of calculations. In-depth Investigation: Tell the Teacher Children consider whether given calculations are harder or easier and work out a scoring system. In-depth Investigation: Roman Numeral Teaser Children apply their knowledge of place value to a different number system. 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.

These in-depth maths investigations are open-ended problem solving activities for Year 3 children. In-depth Investigation 1: Three Coins Using exactly three coins, children work out how many amounts can be made between £1 and £2. In-depth Investigation 2: Money Bags Children use their knowledge of counting in 10s to solve a problem involving money. In-depth Investigation: Counter Place Value Children place counters on a place value grid to make 3-digit numbers and then use logic to ensure they have made all the combinations. In-depth Investigation: Lost Logic Children use their knowledge of inverse operations to solve a logic problem. In-depth Investigation: Guess my Number Children use their knowledge of 3-digit numbers, rounding, and properties of numbers to work out a mystery number. 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 3 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 3 children. In-depth Investigation: Fraction Clues Children use their knowledge of fractions and tables to find mystery numbers. In-depth Investigation: Fraction Bets Children look at fractions and make a hypothesis of which ones are closest. They then test this out by placing fractions on a line. In-depth Investigation: Greedy Guzzler Children explore which is the greater fraction of a set amount. They also fold strips to look at the fractions. 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 3 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.

This bundle provides two days of teaching that cover the objective: Tell the time to nearest minute Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 3 Time and Data 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.

This bundle provides two days of teaching that cover the objective: Finding fractions of amounts Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 3 Fractions 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.

This bundle provides three days of teaching that cover the objective: Develop the concept of fractions Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 3 Fractions 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.

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 maths investigations are open-ended problem solving activities for Year 5 children. In-depth Investigation: Digits of Time Children find out how many times the digit 9 is used on the 24 hour digital clock between noon and midnight. In-depth Investigation: Roomy Boxes Children cut squares from a square piece of paper, fold up the sides to form an open cuboid and find out which size will hold the most 1cm3 cubes. In-depth Investigation: Alternating Chains Children create chains of alternating positive and negative numbers and explore the patterns in their totals. 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 maths investigations are open-ended problem solving activities for Year 5 children. In-depth Investigation: Exasperating 80 Grand Children use all of the digits 0 to 9 once only to create pairs of five-digit numbers, with a total as close to 80,000 as possible. In-depth Investigation: Adding Odd and Even Amounts Children create two amounts of money – one with even digits, one with odd digits – and add these. They look for patterns of even/odd in the totals. In-depth Investigation: Persistent Answers Children subtract numbers with consecutive digits from numbers with identical digits and record the different possible answers. In-depth Investigation: Magic Star Additions Children explore addition patterns on a star derived from a simple magic star. They use mental or written addition to add 4-digit numbers. In-depth Investigation: Mobile Differences Children use trial and improvement to find the largest and smallest possible differences using numbers selected to given criteria. In-depth Investigation: Durer’s Magic Square Children complete ‘Durer’s Magic Square’, then use it to create 2- or 3-digit numbers and find the difference between different pairs. They identify patterns. 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.

This bundle provides two days of teaching that cover the objective: Draw line graphs and conversion graphs Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 Measures and Data 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.

This bundle provides three days of teaching that cover the objective: Choose either column subtraction or Frog (counting up subtraction) as appropriate Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 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.

This bundle provides three days of teaching that cover the objective: Revise column addition with whole & decimal numbers and amounts of money Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 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.

This bundle provides three days of teaching that cover the objective: Solve long multiplication problems Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 Multiplication and Division 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.

This bundle provides five days of teaching that cover the objective: Grid multiplication; short and long multiplication Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 Multiplication and Division 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.

This bundle provides three days of teaching that cover the objective: Solve division problems with short division Teaching Presentation The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Practice Worksheets The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Problem-Solving Investigation This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Extra Support The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s Year 5 Multiplication and Division 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.