5-1 Intro to Logical ThinkingObjectives: - Students will use logical reasoning to solve number sequence problems.
- Students will explain the rule for a number sequence and predict which number(s) comes next
## Designing a Traffic SignLogical reasoning is the process of applying rules to problem solving. Algorithms are designed as a set of steps to follow to solve a problem. At the same time, a set of rules is determined. For example, These rules govern the path that is followed through the algorithm. Rules are built using logical reasoning to ensure that the algorithm performs correctly. This sign gives drivers a simple way to follow an algorithm designed to make traffic more safe and effective.
Why use logical reasoning?When trying to solve a problem, it may be that more than one solution is found. A different algorithm can be built from each solution. Logical reasoning determines if algorithms will work by predicting what happens when the algorithm’s steps - and the rules they consist of - are followed. Predictions from each algorithm can be used to compare solutions and decide on the best one. First, understand the problemBefore an algorithm can be designed, it is important to check that the problem is completely understood. There are a number of basic things to know in order to really understand the problem:
Once these basic things are understood, it is time to design the algorithm.
As stated above, an algorithm is a sequence of instructions, or a set of rules for performing a specific task, similar to following the steps in a recipe for baking cookies. Here is a simple number sequence that uses multiplication: 8, 16, 32, 64, __ - With your elbow partner, work out and explain the rule for this number sequence: 8, 16, 32, 64, __
- What number comes next in the sequence?
- Write the rule on a sheet of paper (for example: “double the last number” and add in the next number in the sequence, or128).
Questions: - How did you work out the rule?
- How did you use logical reasoning?
**Hint:**logical reasoning is concerned with how a problem is solved rather than simply ‘knowing’ the right answer. It is the journey, rather than the destination that is important.
## Section 3Worksheet
Solving a Number Sequence Problem
## Check Your Understanding- What is logical reasoning?
- What is logical reasoning used for?
Add text.If you finish early: |