CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
CK-12 Foundation
Circles Centered at the Origin: The Map of the Beta Solar System
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
High schoolers take an Algebra II/Trigonometry sample test. In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry. High schoolers solve 39 multiple choice/short answer...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Utah Education Network (UEN)
Real World Equations and Inequalities
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
EngageNY
Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Willow Tree
Solving Equations and Inequalities with Absolute Value
The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...
Curated OER
Analyzing Equations Through Slope and Y-int
With problems applying to modern-day topics like Netflix and McDonald's, math whizzes analyze graphs and investigate the slopes. For this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
CK-12 Foundation
Parametric Equations: Protecting the Village
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Curated OER
Circular Trigonometric Functions
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
Curated OER
Gravity and Circular Motion
Go around and around in your physics class with this presentation on circular motion. Diagrams bring the definition to life. Formulas for angular acceleration, centripetal force, gravitation, and potential in a radial field are given....
Curated OER
Exploring Circles
Students explore circles using a graphing calculator. In this circles lesson, students write the equation of a circle with a given center and radius length. Students find the most appropriate model for each combination of data they...
Curated OER
Finding Equations
Learners make equations from everyday data. They create a graph from the equations. Students predict and analyze the results. Learners complete the second scenario on their own and turn in their handout.
Curated OER
Add and Subtract Equations
One of these addition number sentences is incorrect: which one is it? Beginning mathematicians examine two simple equations, circling the one that is correct. An explanation on the bottom walks them through the processing, including...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Illustrative Mathematics
Similar Circles
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of deceptively...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
Project Maths
The Unit Circle
It's not just any circle—it's the unit circle. The fourth instructional activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit...
Concord Consortium
Three Circles
Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...