Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Curated OER
Play It
There are a number of activities here that look at representing data in different ways. One activity, has young data analysts conduct a class survey regarding a new radio station, summarize a data set, and use central tendencies to...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations...
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
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Curated OER
Solving Equations
In this Algebra I worksheet, 9th graders solve basic equations, writng a proof of the solution and justifying each step. The one page worksheet contains four questions. Answers are not included.
Curated OER
Exploring Functions with CAS
Your mathematicians will examine several conjectures regarding even and odd functions and investigate a formal proof of the conjectures using CAS.
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,...
Curated OER
Patterns In Fractals
Pupils find number patterns in the generation of several different types of fractals.
Curated OER
Patterns in Fractals
Pupils explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Pupils derive the fractal pattern when dividing...
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
Curated OER
Tessellations: Geometry and Symmetry
Students explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Students use regular polygons to construct tessellations. Students find patterns and symmetry in their...
Curated OER
Arithmetic Chains
Students complete a chain of numbers given the outcome. In this geometry lesson, student use deductive and inductive reasoning to solve problems. They create a formula and ways to predict numbers in the chain without starting over.
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
The Premises of Geometry
In 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.
Curated OER
Picking Pythagoras
Learners discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
Curated OER
Chart Your Course
Students explore change represented in graphs comparing distance and time. They exchange and share their graphs. Students interpret and create distance versus time line-graphs, and write stories based on these graphs. They interpret a...
Curated OER
Egg Math
In this egg math learning exercise, students click on the links to find out information about eggs and then complete math word problems with that information. Students complete 15 problems.
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Surface Area of Prisms
Students compute surface area and volume of prisms. In this surface area instructional activity, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine...
Curated OER
Number Theory
In this algebra worksheet, students develop patterns and formulas to solve sequences. They apply the Number Theory to each problem. There is 1 question.