Core Skills Analysis
Mathematics
Ella practiced solving one-variable equations by finding the value that made each equation true. For 6x = 42, 8y = 72, 5m = 65, 12a = 84, and 9b = 108, Ella divided both sides by the number multiplying the variable and recorded the solutions x = 7, y = 9, m = 13, a = 7, and b = 12. This showed how division undid multiplication while preserving equality on both sides of an equation. By writing the division steps and the variable values, Ella practiced showing a clear solution process and connecting multiplication facts with algebra.
Tips
Tips To build on Ella’s work, invite her to create a “mystery number” puzzle by choosing a number, multiplying it, and writing an equation for someone else to solve. Use a balance-scale drawing or two groups of counters to illustrate why the same operation must be applied to both sides. Next, connect the equations to everyday situations—for example, finding the number of equal-cost items from a total price—and have Ella write and solve the equation. To extend the challenge, mix in equations that require more than one step and ask her to check each answer by substituting it back into the original equation.
Learning Standards
- Florida B.E.S.T. Mathematics, MA.7.AR.3.1: Ella solved one-variable linear equations by applying inverse operations—dividing both sides by the coefficient—and identified values that made the equations true.
- Florida B.E.S.T. Mathematical Thinking and Reasoning, MA.K12.MTR.2.1: Showing the division steps and recording solutions supported clear mathematical reasoning and communication.
Try This Next
- Make a five-question equation worksheet using equations such as 7p = 56; include space to show division on both sides.
- Create a matching quiz: pair each equation with its solution, then verify each pair by substitution.
- Draw a balance scale with equal groups to model why dividing both sides keeps an equation balanced.
- Write a real-life word problem about equal-priced items and represent it with a one-variable equation.