Worksheet
Curated OER

Classifying Conic Sections

For Students 10th - 11th
In this conic section worksheet, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and focus, or...
Lesson Plan
Curated OER

Standard Form of Quadratic Functions

For Teachers 9th - 12th Standards
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Lesson Plan
Curated OER

Standard Form of Equations

For Teachers 9th - Higher Ed Standards
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
Worksheet
Curated OER

Quadratic Functions

For Students 10th - 11th
In this algebra activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
Worksheet
Curated OER

Lines of Slope

For Students 9th
In this lines of slope learning exercise, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also...
Lesson Plan
Curated OER

Investigating Segments in a Right Triangle

For Teachers 9th - 12th Standards
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
Worksheet
Curated OER

Rotations of Shapes

For Students 7th - 10th
In this rotation of shapes worksheet, students perform given rotations and graph the image of the transformed figure.  They observe transformations and write a rule to describe the rotation.  This four-page worksheet contains...
Lesson Plan
Curated OER

Polly and the Shapeshifter

For Teachers 9th - 11th
Students analyze the patterns in polygons and relate it to the rate of change. In this algebra lesson, students discuss the relationship between the data and the graph of the data.
Worksheet
Curated OER

Conic Sections

For Students 11th - 12th
In this conic sections worksheet, students solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that...
Lesson Plan
Curated OER

NUMB3RS Activity: Regular Ploygon Centroids

For Teachers 9th - 10th
Students investigate geo-profiling.  In this secondary mathematics lesson, students use geo-profiling to determine the most probable location of a criminal.  Students find the centroid of a polygon where the vertices represent...
Lesson Plan
PBS

Toothpicks and Transformations

For Teachers 9th - 12th Standards
Students investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the function to...
Lesson Plan
Curated OER

Quadratic Equations and Parabolas

For Teachers 9th - 11th
Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
Lesson Plan
Curated OER

Functions and Inverses

For Teachers 9th - 12th Standards
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Lesson Plan
Curated OER

Graphic Designing with Transformed Functions

For Teachers 9th - 12th Standards
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
Worksheet
Curated OER

Conics

For Students 11th
In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...
Worksheet
Curated OER

Analysis Review Sheet

For Students 10th - 12th
In this analysis review worksheet, students solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.
Worksheet
Curated OER

Extra Review

For Students 8th - 9th Standards
In this quadratic formula worksheet, students solve and complete 22 different types of problems. First, they solve each equation by completing the square and applying the quadratic formula. Then, students graph each function provided and...
Lesson Plan
Curated OER

Midsegments of Quadrilaterals

For Teachers 9th - 12th Standards
High schoolers explore the concept of quadrilaterals as they find the midsegments of quadrilaterals using Cabri Jr. on a graphing calculator. They find midpoints, slopes, angles, and distances of lines and angles.
Lesson Plan
Curated OER

Similar Triangles and Proportions

For Teachers 9th - 12th Standards
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Lesson Plan
EngageNY

Making Scale Drawings Using the Ratio Method

For Students 9th - 10th Standards
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 
Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Lesson Plan
EngageNY

Scale Factors

For Students 9th - 10th Standards
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...