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
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing learning exercise, 10th graders solve 8 different problems that are related to using inductive reasoning and conjecturing. First, they determine if the conjecture is true or false based on the...
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,...
Flipped Math
Reasoning and Proof
Make sure the conditions are right. Pupils watch a video introducing conditional statements and their related statements. Learners find out how to identify the hypothesis and conclusion as well as write the converse, inverse, and...
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.
Curated OER
Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. In this geometry instructional activity, students identify congruent figures and examine logos for congruency.
Curated OER
Inductive Reasoning
In this algebra activity, 10th graders apply inductive reasoning as they figure out the next number in the sequence or pattern. There are 53 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...
Curated OER
Preparation and Transition to Two-Column Proofs
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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...
Curated OER
Using Logical Reasoning
In this geometry worksheet, 10th graders analyze and solve logic puzzles. The one page interactive worksheet contains five multiple choice questions, provides a hint, and is self checking.
Curated OER
Mathematical Induction
In this Algebra II worksheet, 11th graders explore two examples of arguments that can be formalized with mathematical induction. The one page worksheet contains two problems with explanation.
Curated OER
Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
Curated OER
Finding the nth Term
Learners analyze patterns and try to figure out the next term in the sequence. In this algebra lesson, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or what...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
California Education Partners
Improving Our Schools
Split the work three ways. Learners use their knowledge of fractions to solve problems dealing with splitting up work loads evenly between three groups. Scholars determine the fractional portion of work each group will do along with...
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Curated OER
Pythagorean Theorem
Students are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
Utah Education Network (UEN)
It's All Just Similar to Me
Middle schoolers explore the concept of similar figures. In this similar figures lesson, pupils calculate scale factors of similar triangles. They find missing sides of triangles, and measure angles using protractors and measure sides of...
Inside Mathematics
Scatter Diagram
It is positive that how one performs on the first test relates to their performance on the second test. The three-question assessment has class members read and analyze a scatter plot of test scores. They must determine whether...
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.
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Inside Mathematics
Suzi's Company
The mean might not always be the best representation of the average. The assessment task has individuals determine the measures of center for the salaries of a company. They determine which of the three would be the best representation...
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...