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,...
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
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.
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.
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
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, students use base 10 blocks as money and calculate how much money they have.
Curated OER
Best lesson in the whole world!
Young scholars study the concept of fraction using mathematical reasoning. In this problem solving fraction activity, students use various methods to explain their reasoning in solving fractions. Young scholars use a number of different...
Curated OER
Investigation-Mathematical Reasoning: Tables and Chairs
Fourth graders design a table and chair arrangement. In this mathematical reasoning lesson, 4th graders place tables shaped like equilateral triangles so that they seat the appropriate number of guests.
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....
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
Curated OER
Counting, Properties of Numbers, and Reasoning about Numbers
Five days of lessons develop number sense and counting patterns, including odd and even numbers, 5s and 10s, doubles, and ways to make 10. Each session opens with fun finger play to reinforce counting and reasoning about numbers. Various...
California Mathematics Project
For the Birds
It turns out math IS for the birds! Here, learners use mathematical reasoning to determine how often someone needs to fill a bird feeder. The rate the feeder empties varies by the number of holes that are available to the birds. Day two...
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
Probability and Statistics
Students reason mathematically as they solve problems dealing with probability of an even occurring. In this probability lesson, students differentiate between different rankings of candidates running for leadership. They identify...
Curated OER
Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. In this geometry lesson, students identify congruent figures and examine logos for congruency.
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
Mathematical Reasoning
Ninth graders solve mathematical mysteries associated with a real life situation. In this ninth grade mathematics lesson, 9th graders choose a scenario from Real Life Math Mysteries by Mary Ford Washington and solve one or more of...
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
Deductiva Deductions (Deductive Reasoning)
Third graders apply deductive reasoning and make predictions. In this language arts lesson plan, 3rd graders discuss questions and use deductive reasoning to make a prediction. Students look for patterns and prior knowledge to make...
Curated OER
The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Curated OER
Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
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...
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