# Mentor4Maths's Shop

As a secondary maths teacher I enjoy making my own resources. These have either been made for school or for tuition all designed with students in mind. Resources include differentiation and focus on fluency, reasoning and problem solving.

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As a secondary maths teacher I enjoy making my own resources. These have either been made for school or for tuition all designed with students in mind. Resources include differentiation and focus on fluency, reasoning and problem solving.

#### Long Multiplication Differentiated Resource

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I struggled to find some questions to test pupils long multiplication skills, therefore I created this differentiated resource for a year 7 class. The red questions are there to provide support to those pupils who are struggling by providing the answer and hence they just need to fill in the middle section. The amber is there to get pupils thinking about which numbers could be replaced by the letters. The green section asks pupils to identify the error and make the correction. For challenge I have asked the pupils to think about which makes a larger number, multiplying a two digit by a two digit or multiplying a three digit by a two digit, and is it always true? @Mentor4MathsUK

#### Prime Factor Decomposition with Venn Diagram Challenge

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A resource designed for challenge with prime factor decomposition. Finding HCF and LCM with prime factors decomposition, or finding the original number given the prime factors. Feedback welcome.

#### Crossover with Algebra, Mean and Median

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Students find mean and median the hardest to compute when calculating with numbers, this resource is designed to test them when calculating with expressions. Therefore collecting like terms, expanding double and triple brackets, simplifying fractions is a key skill needed for todays crossover problem. As with yesterday’s resource this is primarily concentrating on expressions where the unknown is positive, again challenge is there for unknown’s that are negative creating a good discussion with your student/s.

#### Crossover with Averages and Spread Bundle A

5 Resources
Crossover resources are designed to bring together mathematical topics. This is where you practise the skills from previous topics with new information from the current topic. For example mean, median, mode and range could then be brought back into fraction calculations. This allows students to constantly revisit previous topics and highlights the importance that maths is not a network of separated topics, connections are formed between topics allowing students to build upon the important fluency, reasoning and problem solving skills needed to be successful. Bundle A focusses on averages and spread with number and FDP. Priced at £1.00 each if bought individually. Lookout for free resources from www.mentor4maths.wordpress.com

#### Crossover with Algebra, Averages and Spread Part 1 & 2

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Thursday’s crossover problem looks at connecting, mean, median, mode and range with algebra. The expressions are linear to allow students to grasps using averages and spread together to find unknown expressions. There is room for challenge, asking students to think about what would happen if the unknown was negative, or from the answers can they identify which of these would be an even or odd integer and what conditions would they need to be. Part 2 includes polynomials and simplifying algebraic terms. Students are asked to fine the mean, mode, median and range of five cards. However the expressions on the cards are not simplified and involve expanding double and triple brackets.

#### Foundation Revision Cards with answers

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These cards are to be used with students so the revision cards they make are valuable and have worked examples. The PDF needs to printed back to back 2 per page (preferably on A4 card) then cut in half. For more resources see www.mentor4maths.co.uk

#### GCSE Style Question - Back to Basics

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This question links volume with quadratic and linear equations, and with unit conversion. The idea behind it is students look at the question which is quite detailed and wordy, and the series of powerpoint slides will help the students to identify the key parts of the question. Please read the notes of the powerpoint for some guidance to ask the students question. Thanks.

#### Crossover Algebra Bundle A

4 Resources
Crossover resources are designed to bring together mathematical topics. This is where you practise the skills from previous topics with new information from the current topic. For example mean, median, mode and range could then be brought back into fraction calculations. This allows students to constantly revisit previous topics and highlights the importance that maths is not a network of separated topics, connections are formed between topics allowing students to build upon the important fluency, reasoning and problem solving skills needed to be successful. Bundle B focusses on algebra with averages, spread, FDP and number. Priced at £1.00 each if bought individually. Lookout for free resources from www.mentor4maths.wordpress.com

#### Crossover with Algebra, Mode and Range

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Today’s crossover problem concentrates on expressions with mode and range, students are given expressions of which they have to identify mode and range and of these expressions. Students have to really think about what each expression means, some use of substitution may be used so that they can see which expression is larger and are able to order the expressions. An assumption has been made when calculation the answers that the unknown is a positive unknown, challenge has been placed in the activity for students to think about what would be different if the unknown is now negative, a good discussion point to have with your students.

#### Crossover with Algebra and Number

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his week’s theme for crossover problems is algebra with number and averages and spread. The focus of these ensures that students can build a bridge between these sub topics which are often looked at separately. Today’s crossover problem focusses on algebra and number, specifically looking at identifying when a number is a square, cube, even, odd or multiple. This resource can be used as an extension, homework, group task, single task, or taken apart into smaller tasks. However, when you use it, it will build on foundations needed to fully understand proof questions at GCSE.

#### Crossover with Median and FDP

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Rounding up the weeks crossover problems with this final one on Median and FDP topics. What is good about bringing Median and FDP together is that students need to be able to order their FDP, sometimes this will mean they have to get it so that the fractions all have equivalent denominators, or they may find it easier to change them all to decimals and then answer from there. Designed to be either a designated piece of classroom work, homework or assessment. Let me know what you think!

#### Crossover with Mean and FDP

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Keeping in within the averages and spread theme this week I have created a Crossover problem with mean and FDP. This enables students to practise their skills of addition, multiplication, subtraction and division of fractions decimals and percentages as well as testing their knowledge of equivalence between FDP, mixed number fractions and mean. Plenty of fluency, reasoning and problem solving. Let me know what you think!

#### Decimal Turntables

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Students need to get into pairs or more and find the missing answers. Some of the turntables already have the sum to help guide the students to the correct answers in the questions. Some turntables do not and the students have to get the correct answers and then the sum of the answers. Some turntables have missing numbers and students are asked to find the missing numbers. Please provide feedback, or visit www.mentor4maths.co.uk

#### GCSE Foundation Number maths resource

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Students are asked to calculate the answers and sum together. There is a check in point to check that they are on the right track. To make it more difficult you could adapt it by the checkpoint but getting the student to sum the total themselves