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...
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
Logic- Always and Sometimes
Second graders investigate logical reasoning. In this math vocabulary lesson, 2nd graders explore the words: always and sometimes while evaluating story problems. Students create images on KidPix to illustrate their understanding of the...
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 the...
Curated OER
Deductive Reasoning
Tenth graders investigate deductive reasoning. In this geometry instructional activity, 10th graders compare and contrast inductive ns deductive reasoning. Students use deductive reasoning to investigate algebraic proof and explore...
Curated OER
Semester 1 Review for Geometry final
In this geometry worksheet, 10th graders solve problems that are based on the topics covered in a first semester geometry class, including, linear equations and the equations of parallel and perpendicular lines, the logic of geometry,...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Curated OER
Problem of the Day #6: Logic
In this logic instructional activity, students use logical reasoning to determine if given statements are true or false. This two-page instructional activity contains twelve problems.
Curated OER
Two Column Logic Proofs
Pupils complete two column proofs. In this geometry instructional activity,students derive the reasons their answers are correct using logic. They write the proof step by step using two columns.
Curated OER
Inequalities and Triangles
Students prove and apply theorems of triangle inequality and hinge theorem. In this geometry lesson, students will discuss which triangle is bigger and why. They will use theorems, such as Exterior Angle Inequality or the Pythagorean...
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...
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 unit...
Curated OER
Logic and Proof Writing
Students define inductive and deductive reasoning and write two column proofs. In this geometry activity, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing proofs.
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...
Curated OER
True or False?
In this whole numbers reasoning worksheet, 3rd graders read, analyze and circle true or false to 8 math statements as they figure out if the statements are correctly stated or not.
California Education Partners
Science Fair Project
Plant the data firmly on the graph. Given information about the growth rate of plants, pupils determine the heights at specific times and graph the data. Using the information, scholars determine whether a statement is true and support...
Curated OER
More Congruent Triangles
In this congruent triangles instructional activity, 10th graders solve 6 various forms of problems that include a proof and a word problem. First, they draw and label triangles and indicate the additional pairs of corresponding parts...
Curated OER
Homecoming Tickets
Students solve word problems using systems of equation. In this algebra lesson, students use computer and graphing to graph and analyze their solution. They solve system involving inequalities.
Curated OER
Exam One Review
In this secondary mathematics worksheet, students solve problems that involve patterns, arithmetic and geometric sequences, geometric logic and reasoning, and changing bases. The three page worksheet contains fourteen problems. Answers...
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...
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A learning exercise includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
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...
Curated OER
Verifying Segment Relationships
In this verifying segment relationships worksheet, 10th graders solve two proofs by following the same format used in algebra. They complete each of two proofs by naming the property that justifies each statement given. Students also...