Beauty and Joy of Computing
Unsolvable and Undecidable Problems
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Shmoop
ELA.CCSS.ELA-Literacy.W.11-12.1
Focus on writing argument essays with your high schoolers. The lesson suggested here focuses on The Jungle, by Sinclair Lewis; however, the idea could be adapted for other texts. Check out the quick quiz provided at the end of the...
Shmoop
ELA.CCSS.ELA-Literacy.W.9-10.1
If you need an introduction to skill W.9-10.1 for writing, then you’re off to a good start here. Included is a funny script that introduces what the students need to know to conquer the skill. It also provides an introduction activity...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Shmoop
ELA.CCSS.ELA-Literacy.SL.9-10.3
Don't let your pupils take everything at face value! They should analyze and evaluate what speakers say. Practice this skill with the two related activities described here. After brainstorming critical questions, learners can listen to...
Oswego City School District
Regents Exam Prep Center: Working With Logic
Test your logic and knowledge of conditionals, biconditionals, negations, conjunctions, and disjunctions in this twelve-question quiz. Answer each question on your own, then see what the answer and the reasoning behind the answer are.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Predicate Calculus
The resource investigates predicate calculus. The tutorial examines propositional calculus, universal quantifiers, mathematical statements, and divisibility. Students learn about the logic concepts through notes and examples. Practice...
Oswego City School District
Regents Exam Prep Center: Types of Sentences
What is "Logic"? What is a "Mathematical sentence"? This website provides definitions of both of these terms and defines examples of mathematical sentences ("open sentence" and "closed sentence") and provides examples of each. Use the...
Oswego City School District
Regents Exam Prep Center: Negation: Not
Use this website to help you hone your critical thinking and math-problem solving skills. Learn what "Negation," is and how it applies when you are working on mathematical problems and sentences.