Algebra - Find pairs of values (1) - Presentation

In a series of algebra-focused teaching slides aimed at enhancing students' fluency in the subject, the concept of finding pairs of values is introduced. The lesson utilises the students' understanding of substitution to solve equations. For instance, students are asked to consider the equation a + b = 8 and find five different possible integer values for the variables a and b. This activity encourages them to explore various solutions, prompting them to question whether there are an infinite number of pairings for these variables. The slides provide examples of possible pairs, such as (1, 7), (2, 6), (3, 5), and so on, demonstrating that there are indeed multiple solutions to this equation.

Further activities delve into more complex scenarios, such as finding pairs of values where M is a one-digit odd number and C is a two-digit even number, with their sum being 25. The slides guide students through the process of identifying all possible pairs that satisfy this condition. Additionally, another task sets out to find integer values for x and y such that x multiplied by y equals 36, reminding students of the commutative property of multiplication which allows the values of x and y to be swapped. The lesson also includes reasoning exercises, such as determining the values of integers a, b, and c that lie between 0 and 5 and satisfy two given equations. This comprehensive approach to finding pairs of values not only reinforces algebraic principles but also cultivates critical thinking and problem-solving skills in students.