EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The instructional activity then provides an exercise set...
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...
PBS
Scale City — Scaling up Recipes and Circles in the Real World
What a great big skillet you have. The resource introduces the class to the world's largest stainless steel skillet. The class creates a model of the skillet and a typical 12-inch skillet and compares the relative sizes of their areas....
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...
Illustrative Mathematics
Stained Glass
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Curated OER
Circle the Simile
Figurative language is a welcome addition to creative writing. Clearly describe similes with this worksheet. For each of 10 example sentences, learners have to identify what is being compared. An answer key is provided with this great...
Homeschool Math
Equivalent Fractions Worksheet
Fraction circles are the primary feature of this worksheet for practicing calculating equivalent fractions. It includes 10 practice problems and an answer key, and supports visual interpretation of this...
Curated OER
Circle multiplication: 7s and 8s
Learning tools are invaluable. Teach your Autistic or special needs pupils how to multiply by 7s and 8s. They will use the circles to match the correct answer to the correct single-digit equation. Great for reinforcing multiplication...
Math Worksheets Land
Partitioning Circles and Rectangles- Independent Practice
Start simple by using a shape-partitioning worksheet. Scholars begin by segmenting basic shapes in halves and quarters. On the second page, they move on to more complex shapes, such as a heart and a cross, also partitioning them in half...
Curated OER
2-Dimensional Shapes: Coloring Shapes
For beginners to color, number, and shape theory, this is a great way to solidify skills. They use a key at the top to determine which color (yellow, green, purple, or blue) to shade each shape (square, triangle, circle, and rectangle,...
Teach Engineering
The Great Gravity Escape
Groups simulate an orbit using a piece of string and a water balloon. Individuals spin in a circular path and calculate the balloon's velocity when the clothes pin can no longer hold onto the balloon.
Curated OER
Circle: Print and Color
In this word recognition worksheet, students trace the word "circle", write the word independently, and color the picture of the shape.
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...
Little Book Lane
"Th" Words
That is a great word because it starts with the th sound. There are so many words that start with the consonant digraph th. Early readers are going to love this packet of fun worksheets, games, flashcards, and images that were created...
Curated OER
Great Fire of London Wordsearch
For this Great Fire of London word search worksheet, learners locate and circle 17 significant names and terms. A word bank is provided.
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 4
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...