Curated OER
Polar and Cartesian Coordinates
The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
Introduction to Polar coordinates
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Colorado Unit Writing Project
Simple Machines
Planning an elementary science unit has never been simpler! These twelve lessons guide young scientists through an exploration of simple machines and their many uses in the real world before asking them to apply their learning in the...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
Curated OER
Points in the Complex Plane -- Lab
Pupils review the lecture portion of this lesson. Individually, they graph various points on a complex plane and identify conjugates based on their location on the graphs. They complete a worksheet and review their answers to end the...
Curated OER
Simple and Complex Machines Used In Agriculture
Learners explore agriculture and the current technologies and research that continue to make Earth a viable planet. This four lessons unit introduce students to simple machines and the concepts of force and friction through a variety of...
Purdue University
Simple Machines
What's the best way to use a simple machine to solve a real-world problem? Scholars construct their own simple and complex machines to explore the concepts of work and force. They discuss examples of simple machines they have found in...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Curated OER
Robot Cartography
Learners identify points plotted on the coordinate plane. In this geometry lesson, students learn to read a map using concepts of a coordinate plane grid. They find the path given a map to tell them where to go.
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Illustrative Mathematics
Chocolate Bar Sales
For this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set instructional activity, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
Curated OER
Simple Machines in the Home
Students explore simple machines used in the home. In this simple machines lesson, students discover that many household items are constructed from simple machines. Students interact with nutcrackers, peelers, egg slicers, and egg beaters.
Curated OER
Farming in the 1930's
Students research and conduct experiments with several types of simple machines. They examine levers, pulleys, inclined planes, wheels, axles, wedges and screws and then consider the physics behind "Green Eggs and Ham".
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Geometry is Fun and EverywhereGeometry, You Don’t Care? Geometry is Fun and Everywhere
Third graders investigate shapes in our world. In this geometry lesson, 3rd graders describe plane and solid shapes and identify angles, solid objects and lines of symmetry. Students use online resources, graphic organizers and conduct...
Curated OER
Data and Scientific Graphs
Learners conduct experiments and graph their data. In this statistics lesson, students collect data and graph it on a coordinate plane. They analyze the data looking for patterns and they discuss their findings with the class.