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One-way Functions – The WiFi Hotspot Problem
Pupils attempt to solve the Wireless Hotspot Problem and learn why it is considered a computationally hard problem in the ninth lesson of the series on 12. They also learn about one-way functions and how the Wireless Hotspot Problem is...
Curated OER
Algebra II Test
In this algebra test, students must determine 3 definitions, match 4 equations to the answer, 4 short answer, and graph 4 points on a coordinate plane. There are 20 questions total.
Curated OER
Easy Worksheet: Graph Using Transformations
For this graph using transformations worksheets, students solve 4 graphing problems. Students graph each transformation given an equation in vertex form.
Curated OER
Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
Curated OER
Parabolic Equations
In this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...
Curated OER
Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
Curated OER
Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, young scholars explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to...
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. High schoolers define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Curated OER
Properties of Parabolas
Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix. Students interpret the equation for a...
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, high schoolers explore the concept of complex roots. Students determine if parabolas have real or complex roots. High schoolers determine the the axis of symmetry...
Curated OER
Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
Virginia Department of Education
Quadratic Modeling
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
CK-12 Foundation
Ellipses: The Ellipse
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
Radford University
How High Can You Throw?
Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...
Curated OER
Travel Problems
This instructional activity is actually an entire chapter focused on math problems involving, shortest path, minimum connector, traveling salesman, and Chinese postman problems. There are multiple activities, exercises, and examples to...
Curated OER
Investigating Segments in a Triangle
Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Curated OER
Using the Distance Formula
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
Curated OER
Curve Ball
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Virginia Department of Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Curated OER
Points, Regions, Distance and Midpoints
In this college level coordinate geometry learning exercise, students identify and graph points on a coordinate plane, find the missing side of a right triangle, determine the distance between two points, and find the midpoint of a line...
Kuta Software
Reflections of Shapes
In this reflection of shapes learning exercise, learners graph images on a coordinate plane. They reflect the image and sketch it on the graph. They write a rule to describe the transformation. This four-page learning exercise contains...