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 class...
Florida Center for Instructional Technology
A Human Number Line: Teacher Notes
Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...
Curated OER
Mixed Problems- Logical Reasoning
In this mixed math problems worksheet, 3rd graders complete 8 logical thinking problems. They solve patterning problems, magic squares, mystery numbers, and geometry problems.
Curated OER
"Reality Math: Fact or Fiction"
Students investigate the use of math in everyday life. They investigate several occupations and pay scales. They complete spreadsheets that show how monthly bills can be organized using technology. They use word processing software to...
Curated OER
Jellybeans
In this online math challenge, students determine how many students are in a classroom considering a total number of jellybeans and how many each student received. A solution is available.
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...
Curated OER
Math computation
The lesson says it is intended for 4th grade but it is suitable for grades 1-3 as well. The class discusses what it means to add, the commutative property of addition, and mathematical reasoning. This is an exercise in number sense,...
Curated OER
How to Reason
Young scholars practice their logical thinking skills. In this reasoning lesson, students complete tasks involving geometric shapes, place value, and odd/even numbers.
Curated OER
Deductive Reasoning
Tenth graders investigate deductive reasoning. In this geometry lesson, 10th graders compare and contrast inductive ns deductive reasoning. Students use deductive reasoning to investigate algebraic proof and explore deductive geometric...
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Curated OER
Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
Education Development Center
Language of Algebra
Don't rush into algebra, let learners visualize, guess, and predict their way to a successful math career. The introductory unit incorporates beginner algebraic concepts with shapes instead of variables. Young mathematicians use a...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Curated OER
Number Line: Negative Numbers
For this graphing calculator worksheet for the TI-83 calculator, students first observe a demonstration for calculating negative numbers. Next, students use their graphing calculator to answer 6 thoughtful T/F and short answer...
Curated OER
Problem of the Day #6: Logic
In this logic worksheet, students use logical reasoning to determine if given statements are true or false. This two-page worksheet contains twelve problems.
Curated OER
Solving Problems and Puzzles 1
Plug in this presentation for a quick start to your day. The class reviews the 6 times tables how they relate to division and then work through patterns to build logical reasoning and sequencing skills. A wonderful warm up or problem...
Curated OER
Logic and Proof Writing
Students define inductive and deductive reasoning and write two column proofs. In this geometry instructional activity, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when...
Curated OER
Tower of Hanoi
Students look for a pattern to solve an ancient puzzle. In this logic and reasoning math activity, students work to solve the problem of moving the Tower of Hanoi, then listen to a legend about a monk moving a 64-disc tower and...
Curated OER
Problem Solving: Reasonable Answers
In this reasonable answers worksheet, students use their logical thinking skills to answer 3 math questions that involve problem solving.
Curated OER
Bridge-Crossing Puzzle
In this bridge-crossing worksheet, students read a word problem. They use logic and deductive reasoning to determine the correct combination for two men to cross a bridge at the same time to get the anticipated results. This one-page...
Curated OER
Go-Togethers
In this math analogies worksheet, 3rd graders circle the appropriate multiple choice answer that best completes 6 math analogies. Students complete one analogy.
Curated OER
Two Column Logic Proofs
Young scholars complete two column proofs. In this geometry lesson plan,students derive the reasons their answers are correct using logic. They write the proof step by step using two columns.
Curated OER
This Man's Father
In this online worksheet, students solve 1 creative thinking problem, where they determine who a man's father is given specific information. A solution is available.
Noyce Foundation
Circular Reasoning
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...