Curated OER
Inductive and Deductive Reasoning
Students use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups,...
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
Investigation - Mathematical Reasoning: Tables and Chairs
Fourth graders draw pictures and diagrams as they attempt to solve a mathematical problem involving the arrangement of eleven tables shaped like equilateral triangles and the seating of exactly twenty-five people.
Curated OER
Operation Spaghetti
Find the math in recipes. Young chefs will follow a recipe and investigate the total cost for materials. They measure amounts of food necessary for the recipe and compute the per person cost.
Mathematics Assessment Project
Ratios and Proportional Relationships
Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.
Curated OER
Number Line: Negative Numbers
In this graphing calculator worksheet for the TI-83 calculator, middle schoolers 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
Number and Operations- Using Gift Certificates
Students apply number and operation skills to learn how to spend a gift certificate. In this mathematical reasoning lesson plan, students use base 10 blocks as money and calculate how much money they have.
Curated OER
Best lesson in the whole world!
Students study the concept of fraction using mathematical reasoning. In this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Curated OER
Mathematics Lesson for Grade 12
Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...
Curated OER
Mathematical Magazines
Students use ads from magazines to create data to be measured and apply the skill of estimation. They record the percentage of magazine ads that could be separated into different categories made by students through the use of logical...
Curated OER
Geometry, Measurement & Reasoning
Students construct two-column proofs. In this geometry lesson, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.
Curated OER
Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Curated OER
Hands-On Equations: Teacher Notes
Math manipulatives are wonderful for demonstrating any number of mathematical concepts in a concrete and visual way. Learners review the addition property of equality and the zero property using a scale model kit (not shown). They...
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,...
MENSA Education & Research Foundation
Fabulous Fibonacci and His Nifty Numbers
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
K-5 Math Teaching Resources
Show Your Work Recording Paper
"Show your work!" It's the math teacher's mantra. Support your class with meeting this reasonable requirement with this set of recording paper templates.
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Curated OER
Counting on Frank
Eighth graders read a book "Counting on Frank" with a partner. Using the text, they identify eight clues and use their mathematical reasoning in real-life situations. They participate in a game and turn in a notebook in which they write...
Resources for Early Childhood
Making Math Meaningful and Enjoyable
Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...
Curated OER
Real-World Reasonableness
Fifth graders apply math to real-world situations. In this mathematics lesson, 5th graders are read the book, "Math Curse," which discusses ways in which math is used each day. Students then write a sequel to the book in groups,...
Curated OER
Geometry, Measurement & Reasoning
Learners measure prisms and determine their volume. In this measurement and reasoning lesson plan, students estimate the volume and area of prisms. They measure given boxes. Learners use paper to create prisms and cylinders. They...
Curated OER
Not Everything Is More Expensive
Students investigate the concept of using different types of presentations to help solve mathematical problems. They research the use of illustrations to help understand data and its interpretation in a graphing format. Students also...
