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.
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.
This is the third in the crossover problems designed to promote crossover problems between topics in mathematics. This concentrates on mode and range with number topics such as factors, multiples, squares and primes. This can be used with crossover with median and number, and crossover with mean and number.
I welcome any feedback!
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.
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.
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.
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 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
