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

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.

#### Problem Solving Investigation: Times tables; x and ÷ (Year 3 Multiplication and Division)

Year 3 Multiplication and Division: 2x, 3x, 4x, 5x, 8x, 10x tables: multiplication and division, including remainders.
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: Crack the Code
Children work together to reason and think logically to crack a code. They practise mental multiple and division strategies.
This problem-solving investigation is part of our Year 3 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.

#### Practice Worksheets: Solve equations with two unknowns (Year 6 Algebra)

Year 6 Algebra: Solve missing number problems and equations with two unknowns.
Procedural fluency practice Worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth.
Day 1 - Solve equations, including bar model and geometry examples.
Day 2 - Solve algebra puzzles and word problems.
Day 3 - List pairs of solutions for pairs of equations with two unknowns.
Find a pair of numbers which satisfy two equations, each with two unknowns.
These procedural fluency practice sheets are part of our Year 6 Algebra 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 different strategies to subtract - Problem-Solving Investigation - Year 3

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 :Use different strategies to subtract two numbers.
In-depth Investigation: Magic Square Differences
Children use the magic square to generate two-digit numbers and explore difference patterns.
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 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.

#### Column addition; 2-place decimals - Problem-Solving Investigation - Year 5

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 objective: Use column addition to add 2-place decimal numbers.
In-depth Investigation: Four of the best
Children use an incomplete magic square to explore patterns in the addition of four decimal 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 5 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.

#### Counting in 1/2s and 1/4s; finding fractions of amounts - Teaching Presentation - Year 2

This presentation provides three days of teaching that cover the objectives:
Count on in fraction steps.
Find 1/2, 1/3, 1/4 and 3/4 of amounts using sharing and number facts
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
Use folded circles (1/2s) and rectangles (1/4s) as a visual aid for counting in fraction steps. Count on in 1/2s to 10; count on in 1/4s to 5. Each child shows the relevant fractions as they count. Remind children that 2/4 is the same as 1/2. Use a TA to model writing halves and quarters on a 0 to 5 number line.
Day 2 Teaching
Use 12 bananas (real or use an image) as an amount to model sharing into 1/2, 1/4 and then to find 3/4. Look how the fraction tells us what to do with the amount: 3/4. The 4 tells us to share the whole amount between four; the 3 tells us that we want to know what is in three of those groups. Repeat to share 12 and 18 into thirds.
Day 3 Teaching
Show a recipe. Demonstrate how to find half of each of the amounts to make half the number of cakes. Demonstrate how to find 1/3 of amounts. Then demonstrate to find 1/4 by halving and halving again.
This teaching is part of Hamilton’s Year 2 Number, Fractions 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.

#### Teaching Presentation: Calculate time intervals; 24 hour clock (Year 4 Measures and Data)

This presentation provides three days of teaching that cover the objective:
Tell time and calculate time intervals; 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
Use ITP Tell the time and show several times. Match digital to analogue times and ensure children understand ‘to’ as well as ‘past’ the hour times. Introduce 24-hour clock, explaining that for pm times we add 12 hours.
Day 2 Teaching
Ask why we use a 24-hour clock. Say it helps to differentiate between am and pm times. Explain that we don’t say 13 o’clock but 13 hundred hours and 16:45 as sixteen forty-five. Practise saying different 24-hour times by writing them on the board and asking children to read them out. Write 24-hour times in a 2 × 3 grid and ask children to convert them to 12-hour am/pm times in their own grids.
Day 3 Teaching
Show a 24-hour train timetable (see resources). Ask how we know if the times are am/pm? Why do train timetables use 24-hour time? Establish that it helps travellers make sure they turn up at the right time of day! Use a train timetable to calculate intervals.
This teaching is part of Hamilton’s Year 4 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.

#### Conjunctions to extend sentences, expressing time and cause (Presentation & Exercises) - Year 3 SPAG

Presentation and practice exercises to teach how conjunctions can be used to extend sentences to express time and cause. Explore clause order and how to punctuate a sentence which opens with a subordinate clause.
SPAG resources that cover the following grammar objectives:
– Express time, place and cause using conjunctions, e.g. when, so, before, after, while, because.
Included in this unit:
Up to 2 days of teaching.
Presentation that can be used on a variety of interactive whiteboards.
Group activity resources.
This SPAG Unit is part of a larger block on Roman Myths.
Find additional teaching on Hamilton’s Year 3 English Block about Roman Myths.

Bundle

#### English Homework (Bundle 1) - KS1

English homework activities for Key Stage 1
Bundle 1 includes the following homework activities:
Body Parts
Bonfire bangers! (November 5th)
Bossy boots
Favourite book
Favourite food
If I’ve said it once…!
Learning letters
Name game
Pack it in!
Rhyme time!
Sounds good!
Starry winter nights (winter celebrations)
That’s mine!
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.

#### Analogue time to half/hour; sequencing - Teaching Presentation - Year 1

This presentation provides two days of teaching that cover the objectives:
Tell the time to the hour and half hour.
Tell the time to the half hour.
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
Show 8 o’clock on a geared analogue clock. Discuss the time and what children might be doing at this time in the morning. Move hands round to show half past 8. Discuss what we are doing now. Continue showing different times, matching to events during the day. Ask children to stand up and show 6 o’clock with their arms as clock hands. Now show me half past 6. Show me 12 o’clock, now show me half past 12.
Day 2 Teaching
Show children 10 o’clock on a geared analogue clock. What is the time in half an hour? Count on in steps of half an hour as you move the hands on the clock. Repeat, pausing at certain times to ask what children might be doing at those times.
This teaching is part of Hamilton’s Year 1 Money and Time 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

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.

#### Moon phases

Children discover that the Moon isn’t made of cheese and find out why it appears to change shape in the night sky. They look at the lunar cycle and use the correct terms to describe the changes that occur.
Suitable for Year 5 pupils.
Hamilton’s science scheme uses hands-on investigative science activities to promote a deep understanding of scientific concepts and help children develop effective methods of scientific enquiry. Our scheme is fresh, original and free!

#### Practice Worksheets: Column Addition with 4- and 5-digit numbers. (Year 5 Addition and Subtraction)

Year 5 Addition and Subtraction: Column Addition with 4- and 5-digit numbers.
Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth.
Day 1 - Practice using compact column addition.
Day 2 - Children use column addition to add pairs of 4-digit numbers, and are prompted to make some estimates first.
Children find the total number of hits on a website each day (5-digit numbers).
These procedural fluency practice sheets are part of our Year 5 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.

#### Muscles

Time for some muscle building! Children look at joints in the human body and the movements that each allow before looking at how muscles control every move we make. Models are constructed to show how pairs of antagonistic muscles pull to work together.
Suitable for Y4 pupils.
Find other lesson plans and resources at www.hamilton-trust.org.uk.

#### Favourite game instructions - English Homework - KS1

English Homework activity for KS1:
Write short instructions for a favourite playground game using ‘bossy’ verbs.
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.

#### Time intervals, timetables, 24-hour clock - Practice Worksheets & Answers - Year 6

Year 6 Measures and Data: Time intervals, timetables, 24-hour clock
Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers.
Day 1 - Find finish times and lengths of films.
Day 2 - Answer questions about a train timetable.
These procedural fluency practice sheets are 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.

#### Conjunctions and adverbs for cohesion (Presentation & Exercises) - Year 5 SPAG

Revise conjunctions and adverbs, exploring their role in cohesion and persuasion and the different ways they function in joining and linking clauses.
SPAG resources that cover the following grammar objectives:
– Use devices to build cohesion within a paragraph [conjunctions & adverbs].
– Use and understand the grammatical terminology in English Appendix 2 accurately and appropriately in discussing their writing and reading.
Included in this unit:
Up to 3 days of teaching.
Presentation that can be used on a variety of interactive whiteboards.
Group activity resources.
This SPAG Unit is part of a larger block on Persuasion and Argument.
Find additional teaching on Hamilton’s Year 5 English Block about Persuasion and Argument.

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

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.

#### Use brackets and order of operations - Practice Worksheets & Answers - Year 6

Year 6 Place Value, Addition and Subtraction: Use brackets and order of operations.
Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers.
Day 1 - Order of brackets and operations activity sheets.
Day 2 - Identifying where brackets go in number sentences.
Day 3 - Solving multi-step word problems with brackets.
These procedural fluency practice sheets are part of our Year 6 Place Value, 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.

#### Place value in 6-digit numbers - Practice Worksheets & Answers - Year 5

Year 5 Place Value: Understand place value in 6-digit numbers; place on a number line.
Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers.
Day 1
Add/subtract 1, 10, 100, 1000, 10,000 and 100,000, then multiples of these, to and from 6-digit numbers.
Day 2
Mark 6-digit numbers on landmarked number lines with different scales.
Day 3
Round population figures to the nearest 100,000, 10,000 and 1000.
These procedural fluency practice sheets are 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.