EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
K12 Reader
Geometric Shape Names
Combine math and language arts in the same lesson with a reading passage about number prefixes in geometric shapes. After reading several short paragraphs about the different prefixes used in shape names, kids answer five comprehension...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Texas Education Agency (TEA)
Geometry in Architecture #1
Discover how to analyze architecture from a geometric standpoint. The fourth installment of an 11-part unit on architecture first provides a presentation on axis, balance, basic form, formal, pattern, proportion, symmetry, and tripartite...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The learning exercise includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
Balanced Assessment
Compact-Ness
Creating a definition may be easier than it sounds! Give your classes experience creating their own definition. Scholars examine the meaning of the compact-ness of a scatter plot and create their own definitions based on measurements.
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Concord Consortium
Boards IV
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
Corbett Maths
Angle Bisector
Cut it in half with a compass and straightedge! Using construction tools, a video shows how to create an angle bisector. The presenter points out what it means to bisect an angle in terms of the measure and distances from the sides of...
Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
New York City Department of Education
Peter’s Garden
Watch scholars' understanding of fractions bloom. The resource presents a performance task where the fractions are equal parts from the same whole, and mathematicians must use them to solve problems about a grade level garden. Teachers...
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
El Paso Community College
Geometry Definitions
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet.
Illustrative Mathematics
Finding the Line of Symmetry
Can you find the line of symmetry? That's what your students will demonstrate by completing this worksheet. The task gets increasingly difficult as shapes are included that have one line of symmetry, no lines of symmetry, and multiple...
EngageNY
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the instructional activity to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and...
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
American Institute of Architects
Architecture: It's Elementary!—First Grade
Build an interest and appreciation for architecture in your young learners with this fun 10-lesson art unit. Engaging children in using their five senses, the class first observes the environment around them, paying special attention to...