Noyce Foundation
Cubism
If cubism were a religion, would you follow it? Lower-level tasks focus primarily on counting the number cubes in a structure and relating the number to surface area. As learners progress to higher-level tasks, isometric drawings and...
Curated OER
Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. For this geometry lesson, students identify congruent figures and examine logos for congruency.
Curated OER
Problem-Solving Strategy: Use Logical Reasoning: Reteach
In this math tables worksheet, students review the word problem to gain an understanding of the information in the table. Students then review the use of the model to solve the word problem. Students then use the same steps to solve the...
Curated OER
Teaching Students Mathematical Reasoning Skills
Students can build upon their basic math skills and become higher order thinkers when we encourage the following principles.
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
Math Challenge
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...
Curated OER
Repeating Patterns
Pattern recognition is a very important skill to foster in younger children. It helps boost algebraic reasoning, logical reasoning, and mathematical reasoning skills. Here are 11 different shape patterns for learners to complete. They...
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...
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
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
For 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
Playing Math Fever
Pupils complete activities to learn notation and uses for positive and negative numbers. In this number system activity, learners play a game similar to Jeopardy to learn how to solve problems with positive and negative numbers.
Curated OER
Best lesson in the whole world!
Students study the concept of fraction using mathematical reasoning. For this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
Curated OER
The Meaning of the Puzzles
In this logical and creative reasoning worksheet, student solve 20 'wacky' words puzzles. Each puzzle contains a mathematical equation that can be translated into a 'wacky' word. An answer key is provided.
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,...
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...
Noyce Foundation
Boxes
Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.
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....
Curated OER
Make the Biggest Number
Each slide gives learners four numbers to use. They order the numbers into three boxes, in attempts at making the biggest number. This age-old place value game is fun, easy to play, and now ready to use in slide-show format.
Noyce Foundation
The Shape of Things
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
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...