# Hamilton's Resources

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#### Find the mean of a data set - Problem-Solving Investigation - Year 6

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This in-depth maths investigation is an open-ended problem solving activity for Year 6 children. It can be used to support teaching towards the objective: find the mean of a data set. In-depth Investigation: Mean Score Children design a dice so that the mean score is 5. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 6 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.

#### Devices to build cohesion - Presentation & Exercises

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Grammar teaching presentation and grammar exercises. The teaching presentation includes 22 slides that cover: Devices to build cohesion within and across paragraphs. Pronouns Determiners Subordinating Conjunctions Adverbs Paragraphs Adverbials (including place, number, time) Topic Sentences Each cohesive device is introduced, clearly explained, and an example is provided. The class is asked some simple questions to check understanding. We then provide grammar exercises for children to: Practise using conjunctions correctly Practise using cohesive devices within a paragraph Each collection of exercises is made up of three sets. Set A is the easiest or most accessible, Set C is the hardest or uses more complex language. This resource is aimed at UKS2. Use the presentation to introduce or revise a grammatical concept as a stand-alone lesson or add on the accompanying exercises for children to practise and apply their knowledge.

#### Write a letter - English Homework - KS1

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English Homework activity for KS1: Write a short letter to a friend or relative about what they have been doing recently. Practise writing for a purpose. Looking for English planning? Using high quality texts as a starting point, our creative and stimulating English plans incorporate grammar teaching in context and offer meaningful writing opportunities. Find out more at Hamilton Trust.

#### Extra Support Activity: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition and Subtraction)

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These activities are designed to be used by a teacher or a TA with children who need extra support before they can tackle these National Curriculum objectives: Add/subtract 11, 12, 21, 22, etc. to/from 2-digit numbers. Down the Stairs- Adding 11 to 2-digit numbers Up the Stairs- Subtracting 11 from 2-digit numbers These Extra Support Activities are part of our Year 2 More 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.

#### Use short/long division in problems - Problem-Solving Investigation - Year 6

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This in-depth maths investigation is an open-ended problem solving activity for Year 6 children. It can be used to support teaching towards the multiplication and division objective: use short and long division to solve problems. 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. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 6 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.

#### Understand x 100 and ÷ 100 as inverses - Problem-Solving investigation - Year 3

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Year 3 Place Value and Money: Understand multiplying and dividing by 10 and 100 (3-digit numbers) as inverse operations. This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Lost Logic Children use their knowledge of inverse operations to solve a logic problem. This problem-solving investigation is part of our Year 3 Place Value and Money 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.

#### Problem-Solving Investigation: Measure capacities in half litres and litres (Year 2 Measures)

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Year 2 Measures: Measure capacities in half litres and litres. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Mystery potion Children use clues to work out ingredients for a ‘magical’ potion for mathematical powers. This problem-solving investigation is part of our Year 2 Measures 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.

#### Problem-Solving Investigation: Tell the time to 1/4 hour; begin to tell to 5 mins (Year 2 Measures)

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Year 2 Measures: Tell the time to 1/4 hour; begin to tell to 5 mins This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Pink or Blue? Children explore the number of quarter past and quarter to times in a day by looking at the two sides of the clock. This problem-solving investigation is part of our Year 2 Measures 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.

#### Place value in 6-digit numbers - Problem Solving Investigation - Year 5

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This in-depth maths investigation is an open-ended problem solving activity for Year 5 children. It can be used to support teaching towards the objectives: Understand place value in 6-digit numbers; place on a number line. In-depth Investigation: Lost Digit Children explore place value in 6-digit numbers through finding digit sums and ‘casting out nines’. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 5 Place Value 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.

#### Time intervals, timetables, 24-hour clock - Teaching Presentation - Year 6

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This presentation provides two days of teaching that cover the objectives: Calculate time intervals Use and interpret time tables 24 hour clock It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Revise the 24-hour clock, converting from am and pm times to the 24-hour clock. Find differences between times that children have written, demonstrating how to count up along a time line. Day 2 Teaching Display the timetable of trains from Thurso (see resources). Discuss how we can work out how long particular parts of the journey take. Count up to calculate time intervals. This teaching is part of Hamilton’s Year 6 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.

#### Choose methods for add/subt problems - Problem-Solving Investigations - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Choose appropriate methods to solve addition and subtraction problems. 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. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our 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.

#### When I grow up - English Homework - KS1

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English Homework activity for KS1: Draw a picture and write a short description of the job they would like to do when they grow up. Practise writing in sentences using full stops and capital letters correctly. Looking for English planning? Using high quality texts as a starting point, our creative and stimulating English plans incorporate grammar teaching in context and offer meaningful writing opportunities. Find out more at Hamilton Trust.

#### Ratios, proportion and percentages - Teaching Presentation - Year 6

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This presentation provides three days of teaching that cover the objectives: Describe ratios between unequal quantities Link percentages to proportion It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Display a recipe for chocolate chip cookies. Use this to show that if we want to increase the quantity made, we need to increase the quantities in the recipe but keep the ratios the same. Demonstrate how to do this. Day 2 Teaching Show a stick made of unequal numbers of red and blue cubes. Establish the ratio between the two colours and use this to create different length sticks with the colours in the same ratio. Use notation to describe ratio, e.g. 2 red for every 1 blue, 2:1. Ask children to say what fraction of a stick of cubes is a particular colour. Day 3 Teaching Write ‘swimming’ and ‘cycling’ on large cards. Ask 10 children to stand by their favourite. What fraction prefer swimming? What is this as a percentage? Say that we can use fractions or percentages to describe a proportion. Draw a bar model diagram to represent this. Extend to other similar problems, e.g. 70% of 60 children prefer swimming, 75% of 40 children prefer swimming, etc. This teaching is part of Hamilton’s Year 6 Decimals and 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.

#### Finding fractions of amounts - Teaching Presentation - Year 3

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This presentation provides two days of teaching that covers the objectives: Find fractions of amounts (quarters and eighths) Find fractions of amounts (thirds and sixths) It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Children fold strips of 16 objects (see resources) in half. How many in each half? Fold it in half again. How many in each quarter? How many in two quarters? 2/4 is the same quantity as 1/2. Fold it in half again to make eighths. How many in each eighth? Write sentences about fractions of the strip. Day 2 Teaching Hand out strips of paper and ask children to fold them in thirds, then sixths. Compare thirds and sixths, agreeing that sixths are smaller. Find non-unit fractions of amounts, e.g. 5/6 of 12, etc. 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 4 Multiplication & Division - Problem-Solving Investigations

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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.

#### Tell the time to nearest minute - Problem-Solving Investigation - Year 3

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This in-depth maths investigation is an open-ended problem solving activity for Year 3 children. It can be used to support teaching towards the objectives: Tell the time to nearest minute. In-depth Investigation: Mirror Times Children use mirrors and analogue clocks. They record pairs of times using digital format. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our 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.

#### Problem-Solving Investigation: Equivalent fractions: add and subtract (Year 6 Decimals & Fractions)

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Year 6 Decimals and Fractions: Equivalent fractions: compare, add, subtract. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Domino Fractions Children use dominoes to create fractions. They explore sums of fractions using equivalent fractions and related denominators. This problem-solving investigation is part of our Year 6 Decimals and Fractions 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.