Concord Consortium
Area Upgrade
Imagine a world built of triangles. A performance task asks scholars to consider just that. They use their knowledge of special segments of a triangle to make decisions about the area of triangular plots of land.
Curated OER
Investigation-Reasoning and Proof
The class explores even and odd numbers.They discuss the results when even numbers are added and when odd numbers are added together. Then work in pairs to find other odd and even pattern examples.
Curated OER
Mathematical Proofs
Students explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.
Curated OER
Getting It Right! An Investigation of the Pythagorean Theorem
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
American Association for the Advancement of Science
Sensing the Invisible: The Herschel Experiment
Learners of light will construct a contraption in which light is passed through a prism and shone into a box. The temperatures at different points along the path and outside of the path of light. The intent is to imitate William...
Mt. San Antonio Collage
Properties of a Parallelogram
More than just a worksheet, the resource provides a thorough guide to navigate through the land of parallelograms. Filled with definitions and theorems, the resource supports learners through problems such as proofs and finding missing...
Royal Society of Chemistry
Acids and Bases—Microscale Chemistry
Here's proof that small-scale labs lead to big-time learning. Introduce acid-base interactions to middle school scientists through a microscale chemistry lab. Pupils combine a variety of solutions and use indicators to obtain approximate...
EngageNY
Congruence Criteria for Triangles—AAS and HL
How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
School Improvement in Maryland
Court Proceedings Civil Cases
What's the difference between civil and criminal law? How do the court proceedings differ in these two types of trials? How do the standards of proof differ? Why do these differences exist? As part of their examination of the...
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
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
Masking Tape Masterpieces
Young scholars create non-objective art based on the design elements of line, color, balance and movement using tape. This simple lesson plan encourages students to create patterns by overlapping and defining lines on a canvas panel. One...
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...
EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
Curated OER
Mathematics
Twelfth graders explore a variation of proof. In this geometry activity, 12th graders apply their knowledge of proof to different scenario. They use 3 different tiers to advance through the activity.
Curated OER
Solving Equations
In this Algebra I learning exercise, 9th graders solve basic equations, writng a proof of the solution and justifying each step. The one page learning exercise contains four questions. Answers are not included.
Curated OER
Geometry, Measurement & Reasoning
Students construct two-column proofs. For this geometry lesson, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.
Curated OER
I'm So Sorry I Ate Chocolate
Sixth graders investigate the magnitudes of the sides and angles of a triangle. They determine the proof of the Sine Rule before using it to solve triangles. They compare the Sine Rule to the Cosine Rule in this unit of lessons.
Curated OER
Inscribed Angles
In this inscribed angles worksheet, 10th graders solve 13 various types of problems related to inscribed angles in geometry. First, they identify a circle illustrated and each arc of the circle. They, students find the measure of each...
Curated OER
More Congruent Triangles
In this congruent triangles worksheet, 10th graders solve 5 various types of geometry problems related to triangles. First, they draw and label triangles, indicating the additional pairs of corresponding parts that would have to be...
Curated OER
Congruent Triangles Homework
In this geometry instructional activity, students use proofs to solve properties of triangles. They differentiate between congruent and similar triangles. There are 15 questions.
Curated OER
Proof by Induction
In this induction instructional activity, students read word problems. They determine the difference between inductive and deductive reasoning. Students solve the given problem through inductive reasoning. This one-page...
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