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Mathematics
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Ratio and Proportion KS2 Bundle!
This stimulating and comprehensive lesson bundle contains a number of engaging and detailed ‘ratio and proportion’ lessons:
Ratio and Proportion: Introduction - Students understand the key terms ratio and proportion, and use these mathematical concepts in order to solve number problems involving relative quantities and unequal sharing.
Percentage Problems - Students solve a range of problems involving the calculation of percentages, including for measures and comparisons.
Similar Shapes - Students use their understanding of ratio and scale factor to solve a number of varied and real-world similar shapes problems.
Combined, the lessons enable children to meet and exceed the following curriculum standards:
solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts;
solve problems involving the calculation of percentages and the use of percentages for comparison;
solve problems involving similar shapes where the scale factor is known or can be found 4. solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
Each lesson follows a clear step-by-step learning journey, in which children learn through:
-Defining, exemplifying, and understanding the key concepts through clear and simple explanations;
-Demonstrating their understanding through well-differentiated (Bronze, Silver, and Gold Challenge) application and challenge activities;
-Applying their understanding to real-life problems, for example involving recipes;
-Gauging their own understanding through both AfL activities and self-reflection tasks.
Included in each lesson is:
Whole lesson PowerPoints - clear and precise, colourful and comprehensive;
Bronze, Silver, and Gold level award worksheets - carefully differentiated and provided in both Word and PDF;
Teacher answer sheets;
A detailed teacher lesson plan.
Student helpsheets (where appropriate)
There are also opportunities for group learning, speaking and listening, peer assessment, and whole class discussion. I originally used these resources with Year 6 (and higher-attaining Year 5) classes, however colleagues have used them for between years 4 and 9 with some minor adaptations. Some of the content really does become quite challenging (especially the Gold sheets) and so these resources could easily be used for KS3 children.
All images are licensed for commercial use, and image rights are listed on the last page of the presentation.
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Y4 Fractions - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 4 teachers, parents and children when covering ‘Fractions’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Recognising and Comparing Fractions;
-Equivalent Fractions and Fractions of Quantities;
-Adding and Sutracting Fractions;
-Fractions of Amounts;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y4 Statistics - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 4 teachers, parents and children when covering ‘Statistics’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Tally Charts and Tables;
-Pictograms;
-Bar Charts;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y5 Statistics - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 5 teachers, parents and children when covering ‘Statistics’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Tables (reading, interpreting and completing);
-Line Graphs;
-Timetables;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y4 Addition and Subtraction - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 4 teachers, parents and children when covering ‘Addition and Subtraction’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Addition Methods (two 4-digit numbers, inc. no exchanging and exchanging);
-Subtraction Methods (two 4-digit numbers, inc. no exchanging and exchanging);
-Efficient Subtraction;
-Add and Subtract 1, 10, 100 and 1000;
-Estimating and Rounding;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y3 Addition and Subtraction - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 3 teachers, parents and children when covering ‘Addition and Subtraction’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Addition Methods (inc. not crossing 10, exchanging, column method, etc);
-Subtraction Methods(inc. not crossing 10, exchanging, column method, etc);
-Estimating;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y5 Fractions - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 5 teachers, parents and children when covering ‘Fractions’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Mixed Numbers and Improper Fractions;
-Equivalent Fractions and Fractions of Quantities;
-Adding and Subtracting Fractions (focus on mixed numbers);
-Fractions of Amounts/ Unit Fractions and Non-Unit Fractions;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y1 Shape - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 1 teachers, parents and children when covering ‘Shape’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-2-D Shapes;
-3-D Shapes;
-Patterns in 2-D and 3-D Shapes;
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y4 Length and Perimeter - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 4 teachers, parents and children when covering ‘Length and Perimeter’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Adding and Subtracting Lengths;
-Equivalent Lengths and Kilometres;
-Perimeter;
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y1 Length and Height - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 1 teachers, parents and children when covering ‘Length and Height’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Length;
-Height;
-Longest, Tallest, and Shortest;
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y2 Money - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 2 teachers, parents and children when covering ‘Money’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Pounds and Pence;
-Comparing Amounts and Equal Amounts;
-Total Amounts and Change;
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y1 Time - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 1 teachers, parents and children when covering ‘Time’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-O’Clock and Half Past: Hands, hours, minutes, o’clock, half past;
-Key Time Facts: Before and after, time connectives, days of the week, months of the year;
-Comparing Time: Earlier, later, quicker, slower.
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y1 Money - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 1 teachers, parents and children when covering ‘Money’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Coins and Notes;
-Counting Coins;
-Cost;
-Key vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Premier League Maths Puzzles!
These short and snappy puzzles are perfect for engaging all of the football lovers in your class in a wide range of maths problems! Using real-life statistics from the English Premier League, students approach a number of varied maths topics, whilst also gaining valuable information about their favourite teams and players. I have used these resources with a number of KS2 and KS3 classes, and have always found that students find them extremely interesting and informative.
Some of the maths topics covered include: statistics, percentages, charts and graphs, data handling, averages, ratios, addition, subtraction, multiplication, and division, estimation and problem solving, critical thinking, and fractions. Some of the specific tasks involved include: working out the goals to games ratio of some of the best strikers, finding out which teams have the best goal difference, and comparing player performance over different seasons.
There are 30 tasks in total, in which each Premier League club is focused upon in at least one activity each. The tasks are also separated by difficulty into 'Beginner','Intermediate', and 'Difficult' tasks (refer to the B, I, or D symbols in the top left of each activity).
All images within this resource are licensed for commercial use, and images are cited on the final slide.
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Y6 Ratio - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 6 teachers, parents and children when covering ‘Ratio’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Ratio Language;
-The Ratio Symbol;
-Scale Factors and Similar Shapes;
-Ratio and Fractions;
-Proportion;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use.
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Y4 Position and Direction - Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 4 teachers, parents and children when covering 'Position and Direction’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Position on a Grid (first quadrant);
-Plotting 2-D Shapes;
-Translation;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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KS2 Negative Numbers!
This stimulating and comprehensive enables students to count forwards and backwards through zero using negative numbers, and to solve number problems and practical problems involving negative numbers, including using negative numbers in context.
The lesson follows a step-by-step learning journey, in which children learn through:
Defining, exemplifying, and understanding the basic rules of calculations involving negative numbers, through clear and simple explanations;
Demonstrating their understanding through well-differentiated application and challenge activities;
Applying their understanding to real-life problems, for example temperatures, budgets and balances;
Gauging their own understanding through both AfL activities and self-reflection tasks.
Included is:
Whole lesson PowerPoint - clear and precise, colourful and comprehensive;
Bronze, Silver, and Gold level award worksheets - carefully differentiated and provided in both Word and PDF;
Teacher answer sheets;
A detailed teacher lesson plan;
A number line;
I have previously taught this to children in years 5 and 6, although with suitable adaptations it could be used for children between years 3-9.
All images are licensed for commercial use, and image rights are listed on the last page of the presentation.
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Problem Solving in Early Years Maths CPD Session!
This informative session offers Early Years practitioners a more in-depth understanding of how to employ problem-solving activities effectively in their classrooms. It is intended to be used in a short, introductory, information-sharing CPD environment, and took me about 45 minutes to deliver. The session is rooted in findings from educational research (links included) and goes through:
Exactly what constitutes problem-solving, and why it is so essential in the broader context of maths education;
Key ingredients for ensuring that problem-solving tasks are engaging and effective;
Some excellent model examples of problem-solving activities;
How to incorporate ‘incidental problem-solving’ into classrooms;
Useful links for resources and task ideas, and further reading.
I hope that you find it useful!
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Year 1 Place Value (within 10) Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 1 teachers, parents and children when covering ‘Place Value (within 10)’ mathematics content.
The content is organised into ‘Entry Knowledge’, ‘Core Knowledge’ and ‘More Advanced Knowledge’ and contains information relating to the following objectives:
-Sort up to 10 objects -Count objects to 10
-Count objects from a group of 10 -Represent up to 10 objects
-Represent numbers up to 10 -Count forwards to 10
-Count backwards from 10 -Count one more for numbers within 10
-Count one less for numbers within 10 -Perform counting activities
-Learn one to one correspondence -Compare up to 10 objects
-< > and = for numbers within 10 -Compare numbers within 10
-Order up to 10 objects -Order numbers up to 10
-Learn about ordinal numbers -Know the number line from 0-10
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).
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Y2 Addition and Subtraction - Maths Knowledge Organiser!
This clear, detailed and visually-appealing resource offers a complete reference point for Year 2 teachers, parents and children when covering ‘Addition and Subtraction’ in mathematics.
The content is organised into the following sections:
-Overview: Learning areas covered, key definitions, why this learning is important;
-Add and Subtract 1s and 10s;
-Number Bonds to 20;
-Column Addition and Subtraction;
-Key Vocabulary.
The resource is designed to be printed onto either A3 or A4, and is provided as both a PDF and a Word version (so that you can edit if you want to). All images used are licensed for commercial use and are cited on a separate document (included).