Using Trial and Error is a strategy that can be used for addition and subtraction. It involves guessing and checking to find the missing part of an equation. The student makes a reasonable guess on the missing part, checks to see if the answer is correct, and then adjusts their answer and checks again. A student would continue to do this until they found an answer that works.
To support students learning to use trial and error provide students with concrete materials to solve part-part-whole (part unknown) problem types. A sample problem from Lawson (pg. 72) is "There are 14 pieces of pizza left in the box. Eight pieces have pepperoni and the rest don’t. How many pieces of pizza don’t have pepperoni?" Educators should also encourage reasoning and intentionality when using trial and error, instead of "guessing". Once students have an understanding of trial and error, educators should encourage more efficient strategies.
In this small group activity (eventually student can play in partners or small groups), students will use clues about numbers to figure out the missing values. Using deductive reasoning and their understandings about numbers, students will find the missing number and their sum/difference to complete the number sentences!
Mystery Number Game instructions
Mystery Number Game Cards (English)