Flipped Math
Unit 2 Review: Reasoning and Proofs
The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...
Mathed Up!
Proof
Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a activity.
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...
Curated OER
Easy Worksheet: Counterexamples
For this counterexamples worksheet, high schoolers solve 10 short answer problems. Students prove the given statements false by providing a counterexample thus disproving the statement.
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,...
Curated OER
Write the Counterexample
In this counterexample learning exercise, students provide counterexamples for the four given statements. The solutions are not provided.
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 10th graders solve 4 problems that include applying inductive reasoning and conjecturing to each problem. First, they determine if each conjecture is true or false based on the...
Curated OER
Divisibility Rules
In this divisibility rules worksheet, students solve 18 different problems that include applying the divisibility rules to each. First, they identify the hypothesis and conclusion in logical deduction. Then, students determine the...
Curated OER
Primes and Prime Factors
In this primes and prime factors activity, 8th graders solve 21 different problems to include identifying each number as prime, composite, or neither prime nor composite and listing all the primes less than 200. Then they complete each...
Curated OER
Geometry Concepts and Applications
In this concepts and applications review instructional activity, 10th graders solve and complete 40 various types of multiple choice problems. First, they write the equation of a vertical line passing through a point. Then, students find...
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...
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Curated OER
If-Then Statements and Postulates
In this if-then statements and postulates activity, 10th graders solve 16 various types of geometry problems that include identifying the hypothesis and conclusions of each conditional statement. Then, they write each conditional...
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...
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...
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Curated OER
Challenge: Skills and Applications Lesson 1.3
For this skills worksheet, students explain the Segment Addition Postulate, provide examples and counter examples and determine congruent line segments. This one-page worksheet contains 11 multi-step problems.
Illustrative Mathematics
Global Positioning System II
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device is...
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
EngageNY
Mid-Module Assessment Task - Geometry (Module 1)
How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...
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
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Curated OER
Investigating AAS
Students investigate the theorems of ASA, AAS, AAA and ASA. In this geometry lesson, students discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two angles are formed by two rays...
Curated OER
The Premises of Geometry
For this geometry worksheet, students solve for missing midpoints, segments and angles using algebraic equations. They use geometric properties to solve these equations. There are 32 questions on 7 different worksheets.