Curated OER
Writing Equations of Circles
In this writing equations worksheet, students examine given information and write the equation of a circle in standard form. This four-page worksheet contains 30 problems. Answers are provided on the last page.
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
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.
It's About Time
Circular Motion
Lead your class in this exciting activity to learn more about motion and its importance. Pupils learn about a centripetal and why it is required to maintain a constant speed in a circulating moving mass. They apply the equation for...
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...
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...
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...
Curated OER
Equations of Circles
In this equations of circles activity, 10th graders solve 10 different problems that include graphing different circles. First, they convert the equations into center-radius form given the coordinates of the center of the circle and its...
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. In this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
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
Circles
Students graph circles. In this graphing instructional activity students write equations for circles. Students solve equations for circles and graph the results.
Curated OER
Circles and Parabolas
In this circles and parabolas, high schoolers write and graph equations for 14 problems. Students locate the center and radius for 8 circles. High schoolers write equations for 4 parabolas.
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
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
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...
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...
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.
Radford University
The Puppy’s Empire
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
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...
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...
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 lesson 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 circle and how to...