Curated OER
House and Holmes: A Guide to Deductive and Inductive Reasoning
Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...
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.
Mt. San Antonio Collage
Elementary Geometry
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and...
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...
Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Virginia Department of Education
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
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...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Math Stars
Math Stars: A Problem-Solving Newsletter Grade 6
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box...
Curated OER
Valentine Sorting Activity
Get that thinking cap on and engage your special ed or autistic learners in a fun sorting activity. This resource includes instructions and all printable materials needed to start sorting. They will sort colors blue and red, numbers 1,...
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...
Education Development Center
Thinking Things Through Thoroughly
Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...
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.
Curated OER
Place Value Challege: Make the smallest number
Challenge your class with this place value activity. There are ten sets of four numbers, and they use three number from each set, to construct the smallest number possible. This is a great game to play prior to introducing decimals and...
Curated OER
Delps and Googles
In this mathematical reasoning worksheet, 1st graders are shown shapes named with the nonsense terms of Delps and Googles. They circle shapes with similar characteristics.
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...
Curated OER
How to Reason
Students practice their logical thinking skills. In this reasoning lesson, students complete tasks involving geometric shapes, place value, and odd/even numbers.
Curated OER
Mixed Problems- Logical Reasoning
In this mixed math problems activity, 3rd graders complete 8 logical thinking problems. They solve patterning problems, magic squares, mystery numbers, and geometry problems.
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
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...
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.
Curated OER
Improving Deductive Reasoning Skills
Students develop a strategy list for problem solving by working with different types of problems. They recognize problems that may be solved using deductive reasoning and solve deductive reasoning problems.
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...