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Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Curated OER
Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
Curated OER
Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
Curated OER
Vectors Via the Calculator
Eighth graders resolve vector problems without the knowledge of math. In this vectors lesson students with poor math skills get a chance of passing the course.
Purple Math
Purplemath: Completing the Square: Deriving the Vertex Formula
This resource describes in steps how to derive the vertex formula.
Texas Instruments
Texas Instruments: From Here to There Applications of the Distance Formula
In this activity, students' will use a pair of motion detectors to record the cartesian coordinates of a rod moving in a star-shaped pattern and calculate the distances moved between the vertices of the star. They also compare these...
CK-12 Foundation
Ck 12: Algebra: Quadratic Formula
[Free Registration/Login may be required to access all resource tools.] Use the quadratic formula to solve equations and find the vertex of parabolas.
Mathigon
Mathigon: Graphs and Networks: Euler's Formula
This lesson focuses on Euler's Equation. Any (finite) graph can be constructed by starting with one vertex and adding more vertices one by one. We have shown that, whichever way we add new vertices, Euler's equation is valid. Therefore...
National Council of Teachers of Mathematics
The Math Forum: Quadratic Formulas, Equations, Parabolas
Dr. Math here at the Math Forum, in a reply to a student question, helps find the vertex and coordinates of the parabola. The information is somewhat brief, but factual, and worth checking out.
Analyze Math
Analyze Math: Trapezoid Problems
The geometry tutorial examines the area, length, and vertices of a trapezoid. Topics include Heron's formula. The activity has several examples with detailed solutions.
CK-12 Foundation
Ck 12: Algebra: Solving Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
Purple Math
Purplemath: Conics: Hyperbolas
A three-part tutorial that discusses the basic terms, definitions, and formulas related to hyperbolas.
National Council of Teachers of Mathematics
The Math Forum: Defining Geometric Figures
This site provides an in-depth definition of a two-dimensional figure and a three-dimensional figure. Related terms include arcs, vertices, polygon, and many more.
Mathigon
Mathigon: Graphs and Networks: Parties and Dating
This lesson uses handshakes at a party to explain complete graphs, when every vertex is connected to every other vertex. It shows how a formula was created to calculate the number of edges.
Wolfram Research
Wolfram Math World: Tetrahedron
This math site defines a tetrahedron, gives reference to the Platonic solid, and gives views from varying perspectives. It also provides formulas for veritices of a tetrahedron lieing along the the positive X axis, formulas for area,...
Illustrative Mathematics
Illustrative Mathematics: G Gpe, N Rn, F Tf Coordinates of Equilateral Triangles
In this task, students are asked if there is an equilateral triangle ABC where two vertices are on the x-axis, and all vertices have integer coordinates. Aligns with G-GPE.B, N-RN.B, and F-TF.C.9.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Polyhedra
This lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...
CK-12 Foundation
Ck 12: Algebra: Graphing Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review graphing quadratic equations. Examples are included.
Sophia Learning
Sophia: Coordinate Geometry of Rhombi
This lesson will demonstrate how to use slope, midpoint, and distance formulas to determine from the coordinates of the vertices if a quadrilateral is a rhombus in a coordinate plane.
Sophia Learning
Sophia: Coordinate Geometry of Trapezoids: Lesson 3
This lesson will demonstrate how to use slope, midpoint, and distance formulas to determine from the coordinates of the vertices if a quadrilateral is a trapezoid in a coordinate plane. It is 3 of 4 in the series titled "Coordinate...
Sophia Learning
Sophia: Coordinate Geometry of Parallelograms: Lesson 4
This lesson will demonstrate how to use slope, midpoint, and distance formulas to determine from the coordinates of the vertices if a quadrilateral is a parallelogram in a coordinate plane. It is 4 of 6 in the series titled "Coordinate...
Texas Instruments
Texas Instruments: Looking for Mr. Right Triangle
Navigator Activity: This is a review of the right triangle in the coordinate plane. Given two lines (2 really nice ones) the students write the equation of the 3rd line to create a right triangle. They find the vertices of the triangle...
Math Is Fun
Math Is Fun: Cone
The resource investigates a cone. Students learn about surface area, volume, and different types of cones. Definitions, animations, formulas, and practice questions are included.
CK-12 Foundation
Ck 12: Algebra: Identification of Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Understanding the equations of parabolas