The final of this week’s installment of resources is crossover with ratio, area and perimeter. Not only will the students be practising calculating perimeter and area it also gets them thinking about scale factors and what happens to the area (a skill they will not come across until maybe year 9). Lengths are a mixture in fractional and decimal form so they are practicing skills of multiplication and division also.

A quick post today as it is GCSE results, good luck to those at school and those I tutor. Today’s resource concentrates on Ratio, Proportion and FDP calculations with reasoning and problem solving. This can be broken up to use as plenaries at the end of a lesson or revision for assessments. This will be available on TES until Monday 27th August.

Today’s resource combines knowledge of types of number with Ratio and Proportion. A nice review activity after finishing ratio and proportion with year 7/8 class. There is a mixture of fluency, reasoning and problem solving with students having to explain if a statement is correct. The last question is a lovely problem solving question where students are given ratios and they have to identify the numbers. This is available for FREE on TES until Friday 24th August.

Today’s resource concentrates more on fluency within probability area and perimeter and looks at creating a sample space from two die that have shapes on. I feel that as it would take the student quite a while to put together the sample space I didn’t want to go into much problem solving or reasoning. However should you want more challenge with this here are some ideas: -Give them the sample space with most of it filled in and ask them to complete the sample space. They would need to figure out how the sample space is calculated before they can complete it. -Remove one/two of the shapes from a dice and given the information in the sample space they can then create the shape on the dice. - Give them the probability and then ask them to complete the sample space from the probability.

Only two weeks left to go until the end of the summer and the end of these resources. This weeks resources start off where last weeks ended, a crossover problem with probability and expressions. Today’s resource looks at simplifying, expanding and factorising algebraic expressions and combining it with number and probability. A good resource that can be used with a year 7/8 class and can be adapted to add challenge. This will be available for free until Friday 25th August on TES.

Keeping with the probability theme this resources concentrates on percentages, finding a percentage of an amount, increasing and decreasing percentages. There is also a hint of fractions and types of number. Plenty of problem solving to keep them busy with question 4 and reasoning with question 5. This was put together with a year 7 class in mind, but could be easily adapted to add more challenge or support. For support I would change the questions so that they would say show that the probability of something happening is this. The percentages could be changed to easier or harder depending on the ability of the group. The resource is available on TES for free until Monday 20th August.

Today’s resource follows a similar layout to yesterday’s Probability with Number. It looks at the language used with fractions as well as fractional calculations alongside probability. Fluency, reasoning and problem solving are all present within this resource with room for challenge: possibly remove one or more of the cards and the students have to come up with the calculation based on the probability take out part of the calculation, give them the probability and the student has to identify the missing fraction. The resource is available on TES for free until Monday 20th August. Feel free to send feedback.

Today’s resource looks at cards with calculations on. Students are then asked to calculate the probability of choosing a randomly selected card and it having a certain property. What I really like about this resource is it means students can practise their number calculations with BIDMAS, test them on their understanding of types of numbers, all whilst answering a probability question. This would be a good resource for a year 7 class and encompasses fluency reasoning and problem solving. I hope you enjoy it as much as I did making it.

Today’s resource looks at using formulae with fractions and percentages. Students are given some information and the formula and they have to answer calculations involving fractions and percentages. A small worksheet that could be given as a homework or a plenary of a lesson. This is available from TES for free until Friday 17th August. Thanks

This week’s first Crossover Resource looks at formulae and data analysis, where students are given data, formula and have to answer questions after inputting the data into the formulae. They then have to decide which is the best graph for them to choose to best display the data. This could be adapted to add in some challenge or more depth my exploring the ways that data could have been collected, why do different people have different journeys and what factors could affect the journey to work. More to come!

Today’s resource can be tricky it combines the skills of expanding out brackets and simplifying with area and perimeter. Each question on this resource could be used as a separate activity or the sheet could be used for homework. It really tests the understanding of expressions and area and perimeter with some reasoning style questions included. There is a lot of problem solving involved in this, my favourite being question 4 which took a while to put together as well as answer. This could easily be extended as you will see at the end of the resource to include fractions, percentages, averages and spread. You could even go further and ask students to substitute a value for x into the expressions and arrange the shapes via order of size (but if you do this please note this resource was designed for only expressions and so the shapes were not drawn to scale) I really hope you enjoy, please give me feedback (especially if you come across any mistakes). This will be available on TES until Monday 13th August.

Today’s resource can be used in conjunction with the resource given yesterday, (Area, Perimeter with Median and Mode). Students are asked to calculate the area and perimeter alongside calculating the mean and range and there is also problem solving within the questions. Give it a go! This can be found on TES for free until 10th August. Feedback is welcome!

For Wednesday’s problem we merge together area, perimeter with mode and median. The student has to calculate the mode and median of cards containing shapes. Students are then given the mode and median of a group of cards and the student has to identify which cards are chosen. Plenty of practise throughout the worksheet of area and perimeter. This can be used as a worksheet, a homework sheet, a recap lesson. Students could extend this further by creating their own shapes and calculating area and perimeter, or creating questions to ask a partner. This resource can be found for free on TES until Friday 10th August. Feedback Welcome!

Tuesday’s resource brings together area, perimeter, fractions, decimals and percentages. From this students can practise calculations with decimals when calculating area and perimeter. Reasoning is also present when students are asked to order the shapes in order for size of their perimeter and area before even completing calculations. Students are then asked to complete number sentences finding fractions and percentages of area and perimeter. This resource will be available for free until 13th August from TES

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.

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.

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.

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.

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!

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!