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I create resources for mathematics teaching based on the Singapore and Shanghai curriculum models for best practice. I will focus on the core principles of Intelligent Practice, Low-Threshold High-Ceiling tasks, fluency based activities and Problem Solving and Reasoning activities.

I create resources for mathematics teaching based on the Singapore and Shanghai curriculum models for best practice. I will focus on the core principles of Intelligent Practice, Low-Threshold High-Ceiling tasks, fluency based activities and Problem Solving and Reasoning activities.
Number Line Reasoning Challenge (Mini-Assessment)
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Number Line Reasoning Challenge (Mini-Assessment)

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Do you operate a ‘mastery’ classroom? Do you want to know how well your students really understand place value, number lines and the intervals found on them? Look no further than this full-lesson reasoning-based activity, complete with answers. There is also a complete set of mastery style questions after the initial task, which is aimed specifically at stretch and challenge for all children. This activity is ideal for children in Key Stage 2. How could I use this activity? As a pre-assessment and post-assessment of any unit you teach linked to number lines, intervals (marked and unmarked) and even measures; As a full-lesson activity related to those same areas of learning. Why is this activity useful? This activity has been specifically designed to develop children’s reasoning skills. They are given some limited information for each number line, with the only constant being the number they have to mark. Each number line represents a different scale, with different values for the intervals. Children will need to use all of their logic to establish the other intervals, and therefore where 564 can be marked. We have used this activity in a classroom, and found the knowledge we gain as teachers about each child’s true maths ability and understanding, is far greater than any test could provide. Which objectives in the UK National Curriculum does it match? Key Stage 2 Number and Place Value: recognise the place value of each digit in a three-digit number (hundreds, tens, ones) compare and order numbers up to 1000 identify, represent and estimate numbers using different representations solve number problems and practical problems that involve all of the above
LTHC Digits Challenge
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LTHC Digits Challenge

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LESSON TYPE: Investigation and Low-Threshold High Ceiling This is a full lesson PowerPoint for KS2 children. The lesson is a Low-Threshold High-Ceiling task as defined by nRich and the University of Cambridge. Included are some simple instructions for moving through the PowerPoint, and a main task page. From this page, students or teachers can navigate to two question ‘prompts’ for if they are stuck, and four ‘ready to’ stars, for if they need further challenge. The lesson is designed so that all children are able to access the content at their level, with multiple examples of self and teacher directed challenge evident throughout the activity. This lesson has been delivered during an OfSted Inspection, and received ‘Outstanding’ feedback for its focus on mastery skills, child-led learning and stretch and challenge for all students.
Intelligent Practice: Fractions - Quarters (Full)
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Intelligent Practice: Fractions - Quarters (Full)

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This is the full Intelligent Practice programme developed for fractions, and comes complete with answers on separate pages. You can try the Intelligent Practice: Fractions - Quarters free sample before you buy. There are separate pages for each multiple of 4 (and corresponding 10x value) from 4 to 100, representing 25 pages of worksheets designed specifically for developing student confidence and deeper understanding. The visual representations (BAR models) of the fractions aim to help children understand the concept of four ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one quarter, two quarters, three quarters and four quarters of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 4; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 4, each part increases by 1, etc.
Intelligent Practice: Fractions - Thirds (Full)
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Intelligent Practice: Fractions - Thirds (Full)

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This is the full Intelligent Practice programme developed for fractions, and comes complete with answers on separate pages. You can try the Intelligent Practice: Fractions - Thirds free sample before you buy. There are separate pages for each multiple of 3 (and corresponding 10x value) from 3 to 99, representing 33 pages of worksheets designed specifically for developing student confidence and deeper understanding. The visual representations (BAR models) of the fractions aim to help children understand the concept of three ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one third, two third, and three thirds of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 3; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 3, each part increases by 1, etc.
Intelligent Practice: Fractions - Thirds (Free)
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Intelligent Practice: Fractions - Thirds (Free)

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This is the free sample version of the full Intelligent Practice programme developed for fractions, and comes complete with answers on a separate page. You can buy the full version of the Intelligent Practice: Fractions - Thirds booklet, complete with 33 pages, plus answers. The visual representations (BAR models) of the fractions aim to help children understand the concept of three ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one third, two thirds, and three thirds of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 3; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 3, each part increases by 1, etc.
Intelligent Practice: Fractions - Quarters (Free)
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Intelligent Practice: Fractions - Quarters (Free)

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This is the free sample version of the full Intelligent Practice programme developed for fractions, and comes complete with answers on a separate page. You can buy the full version of the Intelligent Practice: Fractions - Quarters booklet, complete with 25 pages, plus answers. The visual representations (BAR models) of the fractions aim to help children understand the concept of four ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one quarter, two quarters, three quarters and four quarters of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 4; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 4, each part increases by 1, etc.
Number Line Mats and Bookmarks
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Number Line Mats and Bookmarks

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Do your children find counting and visualising numbers difficult? Do they need extra resources on hand to help them work independently? Look no further than this set of 5 number lines with different scales: 0 to 30 with colour-coded 10 blocks. (Y1 to Y4 version) 0 to 20 with colour-coded 5 blocks and marked quarters and halves. -9 to 0 with intervals of 1. (Y3 to Y6 version) 0-100 with colour-coded 10 blocks. 0-1000 with colour-coded 100 blocks. Number lines are essential tools for understanding place value, addition and subtraction strategies, informal written methods leading to more mental calculation skills, and also for understanding the intervals when using measuring devices with scales (e.g. rulers, protractors, tape measures etc). For best results, print, trim and laminate the four number lines or individually for use as a maths bookmark. In all of my classes, I created one of these for each child. There were able to use them whenever needed, and by having all four on one sheet made them a lot more useful in everyday learning. In a mastery classroom, this is the perfect resource for supporting all children.