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...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 2)
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
Curated OER
Solving Linear Equations
Math whizzes read a series of slides describing steps to solving linear equations. They view a slide-show presentation. Each page, or slide, presents a different topic. Topics include: defining a linear equations, inverse operations,...
Curated OER
Who Dun It?
In this proofs by contradiction worksheet, students solve 1 word problem about a crime. Students use proof by contradiction to determine the criminal in the word problem.
EngageNY
Converse of the Pythagorean Theorem
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
Curated OER
Worksheet 11
In this math worksheet, students find a solution basis and compute the Wronskian for each of the equations. Then they sketch a graph of a typical solution.
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
Curated OER
Problem Solving: Strategy: Use Logical Reasoning
In this problem solving strategy worksheet, 6th graders solve a story problem using the strategies of understand, plan, solve, and look back.
Curated OER
Worksheet 29 - Interval
For this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
Curated OER
Indirect Proof and Inequalities in one Triangle
In this geometry worksheet, 10th graders complete an indirect proof and order the sides or angles of a triangle. Also, students determine if a triangle can have sides with the given lengths. The two page worksheet contains twelve...
Curated OER
Send More Money
In this algebra worksheet, students are to decipher a word problems and come up with the message. They are given clues and scenarios to help with the answer. There is an answer key.
Curated OER
Three for the Money: The Degree/Diameter Problem
Students explore the concept of vertex-edge graphs. In this vertex-edge graphs lesson, students try to construct a graph with a given diameter, number of vertices, size, and planarity. Students construct various vertex-edge...
Curated OER
Getting into Shape
Students identify 3-D geometric shapes through different pieces of artwork. They examine and identify segments and angles. Students act out shapes and create a piece of artwork. Additional cross curriculum activities are listed.
Illustrative Mathematics
Applying the Pythagorean Theorem in a Mathematical Context
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Curated OER
Pick's Theorem
Pupils investigate Pick's theorem by completing a lab. In this geometry lesson, students construct polygons using cabri software. They calculate the area of polygons and identify the vertices of each shape.
Curated OER
Investigating AAS
Young scholars 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...
Curated OER
The Truth About Triangles And Proofs
High schoolers engage in a lesson that is about the classification of triangles and the mathematical proofs involved in working with them. They work on a variety of problems that are created by the teacher with the focus upon the...
Curated OER
10 Logic
In this algebra instructional activity, students define and use not, and, or. They also discuss how biased or valid a test is. They apply logic to solving real life scenarios and word problems.
Curated OER
True or False?
In this secondary mathematics learning exercise, students solve a logic puzzle that takes place in a mythical land where everyone is either a truth teller or a liar. The one page learning exercise contains one problem. ...
Curated OER
Babylonian Mathematics 2
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Curated OER
Indirect Euclidean Proofs
For this indirect Euclidean proof worksheet, students write statements supporting the reasons for a given proof. This one-page worksheet contains ten problems.