Algebra - Find pairs of values (2) (Enumerate possibilities) - Worksheet

The 'Find Pairs of Values (2) - Enumerate possibilities' worksheet from masterthecurriculum.co.uk is a comprehensive resource designed to help Year 6 students enhance their algebraic thinking and problem-solving skills. The worksheet aligns with the National Curriculum objectives, requiring students to use simple formulae, generate and describe linear number sequences, and enumerate possibilities of combinations of two variables. The lesson's resources include differentiated sheets and teaching slides, while the vocabulary section introduces terms such as 'enumerate possibilities', 'possible solutions', 'multiples', 'variables', and 'strategy'. Students are tasked with finding possible solutions to equations involving multiples of unknowns, encouraged to try one number for a variable and then determine the corresponding value of the other variable. They are guided to work systematically to discover other possible solutions that satisfy the given conditions.

During the lesson, children will fill in tables with pairs of numbers that make the given equations true, with one column of numbers already known. They will also tackle more complex problems where they find pairs of numbers satisfying two equations. The worksheet provides fluency and precision exercises where students enumerate possibilities, such as determining all possible values for variables that are whole numbers less than a certain value, and using bar models to visually represent their findings. Additionally, the worksheet includes reasoning and problem-solving challenges, prompting children to apply their understanding to real-world scenarios, like calculating different combinations of cakes Rosie can buy with a given amount of money, while adhering to constraints such as the evenness or oddness of the numbers involved. This engaging resource helps children develop their algebraic proficiency through a blend of structured exercises and creative problem-solving tasks.