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Prior Knowledge Retrieval and Assessment for Visible Progress in Mathematics Education

This tool provides a quick and accurate assessment of students' prior knowledge, helping to identify misconceptions and gauge starting points for upcoming units. It allows teachers to track progress, adapt instruction, and foster a deeper understanding of key concepts. Language-rich and reasoning opportunities are embedded within the questions to enhance understanding and fluency.

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Prior Knowledge Retrieval and Assessment for Visible Progress in Mathematics Education

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  1. Why? • Retrieval of prior knowledge • Assessment of key misconceptions • Visible progress for pupils • Assessment of upcoming units to accurately gauge starting points • Done, marked and green penned within 10 minutes MAX • Frame of reference for teachers in mid-term planning • Starting point for more bespoke adaptation for individual class contexts • Progression built in through the week, if a student is getting 4/4 every day, they have progressed

  2. Which box does what? Retrieval of prior learning after a longer space of time Retrieval of prior learning after a small space of time Retrieval of prior learning over a significant period of time Assessment of upcoming content to gauge starting point

  3. Which box does what? Last unit Current unit Core knowledge Next unit

  4. Example Ratio Percentages Product of primes Algebraic manipulation

  5. Example Decrease £40 by 20% Mr Draper and Mr Green share £45 in the ratio 4:5. How much does Mr Green get? Express 36 as a product of primes Simplify

  6. Example In a 20% off sale, how much does a £20 coat now cost? Mr Draper and Mr Green share some money in the ratio 4:5. Mr Green gets £15, how much did they start with? Express 72 as a product of primes Simplify

  7. Example In a sale, a coat has 20% off and it’s now £20. How much was it originally? Mr Draper and Mr Green share some money in the ratio 4:5. Mr Draper gets £2, how much does Mr Green get? Express 720 as a product of primes Simplify

  8. Example In a sale, a coat has 20% off and is now £120. How much was the coat originally? Mr Draper and Mr Green share some money in the ratio 4:5. Mr Green gets £2 more than Mr Draper. How much was shared? Below is the prime factorisation of 576. Is it a square number? Why? Simplify

  9. Threads of Questioning In a sale, a coat has 20% off and is now £120. How much was the coat originally? Mr Draper and Mr Green share some money in the ratio 4:5. Mr Green gets £2 more than Mr Draper. How much was shared? Increased difficulty around the language use, final one repeated to give extra practice Language-rich focus to pick apart common issues in exam questions – Explicitly addressing context, referring back to previous days Below is the prime factorisation of 576. Is it a square number? Why? Simplify Selection of questions on the same skill to address common stumbling blocks and misconceptions coming up in the next unit ( vs , coefficients of 1, negatives) Reasoning opportunities embedded within questions to move on understanding as well as fluency

  10. Threads of Questioning Sharing into a ratio 1) Simple case 2) Given one part, find original 3) Given one part, find other part 4) Given difference, find original Percentages Simple decrease Worded decrease Reverse decrease Reverse decrease to embed Product of primes 1) Product of primes 2) Spotting x2 or previous day 3) Spotting x10 previous day or x20 first day 4) Reasoning around powers and roots Algebraic manipulation 1) Single variable to simplify, leave the y alone 2) Two variables, a negative 3) Different powers 4) Different powers, negative

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