Learning Objectives: Starter: - To use short division Main Lesson: -To apply short division to decimals (Year 5 & Year 6) -To use division including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A starter focusing on revising short multiplication to solve division problems and a connect starter linking place value to division of decimals. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short division of decimals and to assess the children’s ability to solve short division problems involving decimals.. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short division problems which give decimals as answers, and one Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to solve a series of multistep problems requiring division as well as at least one other operation. Division, multiplication, chunking, Short division, Short division, Short division, decimals, decimals, decimals, 4-digit, 5-digit, 1dp, 2dp, Word Problem, AfL

LOs: Starter: To add and subtract large numbers Main Lesson: To solve addition and subtraction multi-step problems in contexts (Year 5 and Year 6) To develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems (KS3) This lesson consists of: A starter recapping on subtraction and addition of large numbers and 2 connect activities recapping on the different ways that addition and subtraction can be written, plus a set of differentiated word problems to allow children to work in pairs to decode, allowing you to establish children’s understanding of Word problems. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to establish an effective way to lay-out calculations and to test the children’s ability to apply column subtraction and addition to work problems. A 4 way differentiated series of Word problems (including a Challenge Activity) where children are expected to solve a series of multi-step (developing single step) addition and subtraction problems. An AFL / Next Steps task based on a 2014 SATs question, which requires simple division in addition to subtraction.

Learning Objectives Starter: - To order multistep calculations. - To use, read, write and convert between standard units. Main Lesson: - To convert between different units of metric measure (Year 5) - To convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places (Year 6) -To change freely between related standard units [for example length, capacity and mass] (KS3) This lesson consists of: A Starter consisting of a series of progressively harder, multi-step calculations and revision of properties of numbers. A connect activity getting children to start to think about the different units used to measure length, capacity and mass. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach the conversions between different metric units including mm, cm, metres, kilometres, litres and millilitres, grams and kilograms. A 4-way differentiated series of tasks requiring children to convert between the various metric units of measure. A challenge activity where children complete between miles and kilometres and metres. A Place Value grid is provided as additional support for those struggling. Answer sheet provided to support marking. A final AFL / Next Steps task, asking children to apply their knowledge to a conversion graph, which will be focus of the following days lesson.

Learning Objectives Starter: - To find equivalent fractions Main Lesson: To compare and order fractions whose denominators are all multiples of the same number (Year 5) To compare and order fractions, including fractions >1 (Year 6) To order fractions and use the symbols =, ≠, , ≤, ≥ (KS3) This lesson consists of: A Starter consisting of a series of progressively harder fractions which recap use of equivalent fractions. A connect activity challenging children to identify and discuss methods that they might use to identify the larger of two fractions – allowing you assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children both visually, by using denominators and changing fractions to have the same denominator in order to compare and order fractions. A 4-way differentiated series of tasks requiring children to compare and order fractions with the challenge activity introducing ≠, ≤ and ≥ signs. A final AFL / Next Steps task, asking children to apply their knowledge to an old SATs question, where they can demonstrate their understanding of strategies to compare two fractions. fractions, visual, representation, equivalence, equivalent, equivalent, equivalent fractions, fractions, fractions, AfL, multiples, conversion, ordering, sequencing, comparing, ordering, sequencing, comparing, ordering, comparing, ordering, comparing

Learning Objectives Starter: - To simplify fractions Main Lesson: - To identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths (Year 5) - To use common multiples to simplify fractions (Year 6) This lesson consists of: A connect activity challenging children to explain what fractions are and how they can be written – allowing you assess prior learning. A Starter consisting of a series of progressively harder, visual representations of fractions for the children to identify. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to allow children to understanding both visually and mathematically equivalence in fractions. A second teaching activity allowing the children how to use cancelling to simplify fractions. A 4-way differentiated series of tasks requiring children to simplify fractions. A final AFL / Next Steps task, asking children to apply their knowledge to a SATs question, where they can demonstrate their understanding of equivalence and simplification of fractions.

Learning Objectives Starter: - To simplify fractions Main Lesson: To identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths (Year 5) - To recall and use equivalences between simple fractions (Year 6) - To use the concepts and vocabulary of factors (or divisors), multiples, common factors and common multiples (KS3) This lesson consists of: A Starter consisting of a series of progressively harder fractions which require simplifying. A connect activity challenging children to explain and identify equivalent fractions– allowing you assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to allow children to understanding both visually and mathematically equivalence in fractions. A second teaching activity allowing the children to understand how to use common factors and multiples to produce equivalent fractions. A 4-way differentiated series of tasks requiring children to find equivalent fractions. A final AFL / Next Steps task, asking children to apply their knowledge to two old SATs questions, where they can demonstrate their understanding of equivalence of fractions.

Learning Objectives Starter: To compare and order fractions Main Lesson: To subtract fractions with the same denominator, and denominators that are multiples of the same number (Year 5) To subtract fractions with different denominators, using the concept of equivalent fractions (Year 6) To use the 4 operations applied to proper and improper fractions(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children have to compare mixed numbers with improper fractions and use <> sign to show which are larger. A connect activity challenging children to identify and explain the nature of common errors when subtracting fractions. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to subtract fractions, improper fractions and mixed numbers with common denominators, with denominators where one is a multiple of the other and where two fractions have different denominators, and changing fractions to have the same denominator in order to add these fractions. A 4-way differentiated series of tasks requiring children to subtract fractions. Answers included to ease marking A final AFL / Next Steps task, asking children to work out what final step has been missed off by a fictional student Sam.

Learning Objectives Starter: To compare improper fractions and mixed numbers Main Lesson: To multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams (Year 5) To associate a fraction with division (Year 6) To find a whole quantity given the quantity represented by a unit fraction (Y6) To recognise and use relationships between operations including inverse operations (KS3 This lesson consists of: A Starter consisting of a series of progressively harder problems where the children have to compare mixed numbers with improper fractions and use <> sign to show which are larger. A connect activity challenging children to consider whether the product of two numbers always produces a larger numbers as a way to start considering the effect of multiplying by fractions. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to multiply whole numbers by fractions (by dividing by denominator and multiplying by numerator (starting with diagrams) and how to find the whole quantity of a number, when they are given what a fraction of that number represents. A 4-way differentiated series of tasks requiring children to multiply whole numbers by fractions and find whole numbers when they are given what a fraction of that number represents (i.e. ¾ x ? = 24). Answers included to ease marking. A final AFL / Next Steps task, providing three answers to a SATs question and children are invited to use the methods they have learned to work out which is correct.

Learning Objectives Starter: To multiply whole numbers by proper and improper fractions > To associate a fraction with division Main Lesson: To solve problems involving division and division, including scaling by simple fractions (Year 5) To divide proper fractions by whole numbers (Year 6) To use the 4 operations with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children multiply 2 fractions together. A connect activity challenging children to consider what happens when fractions are divided by a whole number. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to revise demonstrate what happens when fractions are divided by whole numbers. A series of slides teaching the linking the division fractions by whole numbers to dividing fractions together using correct mathematical language. A 4-way differentiated series of tasks requiring children to divide fractions, mixed numbers and improper fractions by whole numbers. Answers included to ease marking. A final AFL / Next Steps task, providing two incorrectly answered arithmetic questions for the children to identify the mistakes made and find the correct answer (showing their workings).

Learning Objectives Starter: To use the 4 operations with proper and improper fractions Main Lesson: To solve problems involving division and division, including scaling by simple fractions (Year 5) To use their knowledge of the order of operations to carry out calculations involving the 4 operations (Year 6) To use the 4 operations with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children perform an addition, subtraction, multiplication (x2) and division calculation involving fractions. A connect activity focussing on the ordering of calculations using BODMAS – enabling you to assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to revise the BODMAS method of ordering calculations applying whole numbers and extended to include fractions. A knowledge check to allow you to group children according to their ability for the independent tasks. (links provided on planning to other BODMAS lessons, if children have not learned about BODMAS already). A 4-way differentiated series of tasks requiring children to apply BODMAS to fractions, mixed numbers and improper fractions. Answers included to ease marking. A final AFL / Next Steps task, providing a multistep Mastery style Word problem involving fractions where children must progressively work through a series of calculations to solve all three parts of the question.

A plan, set of teaching resources, Interactive Whiteboard presentations for both Promethean and Smartboards. (New for 2018 – PowerPoint Presentations) This resource uses the questions on 2016 Key Stage 2 SATs papers 1, 2 and 3 to revise your class’ understanding of quick arithmetic methods and revise a specific aspect of the reasoning papers. This is the fifteenth lesson in a revision programme designed to prepare Year 6 children for the Maths SATs papers 1, 2 and 3. **Learning Objectives covered: ** To solve simple algebraic equations. (LA) To solve multistep algebraic equations (MA) To solve and explain multistep algebraic equations. (HA) The lesson consists of: A powerpoint to introduce the lesson A set of algebraic problems are provided to be cut and distributed in three areas of the classroom A score card is provided to allow children to compete as equals while Teachers / TAs mark each question before children are free to move on to the next.

Learning Objectives Starter: - To perform (mental) calculations. - To recognise factors Main Lesson: - To identify common factors (Year 5 and Year 6) - To use the concepts and vocabulary of factors, and common factors (KS3) This lesson consists of: A Starter consisting of a series of progressively harder addition, subtraction, multiplication and division calculations and revision of multiples. A connect activity getting children to identify the correct and incorrect definitions of multiples and a second Connect to get children identify the first 3 multiples of common times tables. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to find factors, common factors and highest common factors, and how these can be identified from lists and using Venn Diagrams. A 4-way differentiated series of tasks requiring children to identify factors (LA) common factors of 2 (LA) and 3 digit numbers (MA, HA) and highest common factors of 3 and 4 different numbers (HA). Answer sheet provided to support marking. Two AFL / Next Steps tasks, the first introducing the concept of prime numbers in terms of factors and the second reviewing the definitions of common factors, and highest common factors and challenging most able to define prime factors

A differentiated starter, introduction for both ActivInspire and Smartboard, and 3 way differentiated activity with an extension activity for use in Continuous Provision and AFL / Next Steps plenary activity. It also includes a distance learning video and resources. Learning Objective: To identify & represent numbers using objects & pictures This lesson consists of: A differentiated starter - Count on. A counting game for groups of children to take in turns counting up to a target number of 10 (LA), 20 (MA) 30 (HA) starting from a number generated by rolling a dice. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart building on the skill of one to one correspondence before recognising numbers from a number track and their names from cards displaying the numbers 1 to 10. A youtube video link for distance learning introducing the starter, main part of the lesson and the AFL / Next Steps plenary. A 3-way differentiated series of tasks requiring the use number tracks to help identify numbers and their names when counting objects A final AFL / Next Steps task, where children write the name and number of several numbers represented on ten grids, with a final question showing a number greater than 10.

Learning Objectives Starter: To multiply whole numbers by proper and improper fractions Main Lesson: To multiply proper fractions and mixed numbers by whole numbers (Year 5) To multiply simple pairs of proper fractions, writing the answer in its simplest form (Year 6) To use the 4 operations with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children find the fraction of a whole number A connect activity challenging children to consider what happens when fractions are multiplied together. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to revise how to multiply whole numbers by fractions (by dividing by denominator and multiplying by numerator) and explaining physically and visually why when a fraction is multiplied by a fraction that answer is always smaller. A series of slides teaching the method of multiplying fractions together using correct mathematical language. A 4-way differentiated series of tasks requiring children to multiply whole numbers by fractions, fractions by fractions and mixed numbers and improper fractions by proper fractions, improper fractions and mixed numbers. Answers included to ease marking. A final AFL / Next Steps task, providing three arithmetic questions for the children to answer based on ability

A differentiated starter, introduction for both ActivInspire and Smartboard, and 3 way differentiated activity with an extension activity for use in Continuous Provision and AFL / Next Steps plenary activity. It also includes a distance learning video and resources. Learning Objective: To compare by lining up. This lesson consists of: A differentiated starter - Count on. A counting game for groups of children to take in turns counting up to a target number of 10 (LA), 20 (MA) 30 (HA) starting from a number generated by rolling a dice. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart building on the skill lining objects up so that they can more easily be compared in order decide which is more and which is less. A youtube video link for distance learning introducing the starter, main part of the lesson and the AFL / Next Steps plenary. A 3-way differentiated series of tasks requiring the use of counters to help compare sets of objects in order to decide which is more and which is less. A final AFL / Next Steps task, where children apply their learning to numbers represented on ten arrays.

A differentiated starter, introduction for both ActivInspire and Smartboard, and 3 way differentiated activity with an extension activity for use in Continuous Provision and AFL / Next Steps plenary class activity. It also includes a distance learning video and resources. Learning Objective: To identify & represent numbers using objects & pictures This lesson consists of: A differentiated starter - Count on. A counting game for groups of children to take in turns counting up to a target number of 10 (LA), 20 (MA) 30 (HA) starting from a number generated by rolling a dice. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart focusing on the skill of one to one correspondence when counting different objects, introducing the use of a number track to 10. A youtube video link for distance learning introducing the starter and main part of the lesson. A 3-way differentiated series of tasks requiring to use number tracks to use one to one correspondence to count objects and begin to recognise digits associated with that number. A final AFL / Next Steps task, where children identify their own questions linked to different coloured shapes.

A differentiated starter, introduction for both ActivInspire and Smartboard, and 3 way differentiated activity with an extension activity for use in Continuous Provision. It also includes a distance learning video and resources. Learning Objective: To compare numbers. This lesson consists of: A differentiated starter – Counting Triangles. A counting game for groups of children to take in turns counting different shapes by taking straws equal to each of 5 rolls of the dice. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart building on the skill lining objects up and extending this to compare 2, 3 or 4 numbers using a number track. A youtube video link for distance learning introducing the starter, main part of the lesson and the AFL / Next Steps plenary. A 3-way differentiated series of tasks utilising a number track to help compare sets of numbers to find the smallest and largest, less and more.

A differentiated starter, introduction for both ActivInspire and Smartboard, and 3 way differentiated activity with an extension activity for use in Continuous Provision and AFL / Next Steps plenary class activity. Also included is a youtube video and resources for distance learning. Learning Objective: To use part / part whole This lesson consists of: A starter – Carry On Counting. Children to work in pairs or larger groups to practice counting to a target number in a fun dice game. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart teaching how use Part, Part, Whole diagrams to identify which group is more and which is less in Visual problems. A youtube video link for distance learning introducing the starter, main part of the lesson and the AFL / Next Steps plenary. A 3-way differentiated series of tasks teaching children to use Part, Part, Whole diagrams to identify which group is more and which is less in Visual problems A interactive, whole Next steps / AFL plenary to allow you to assess learning through the lesson.