EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
Curated OER
Matrices: A Secret Weapon
Students perform operations with matrices. In this algebra lesson, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
5280 Math
Capture the Points
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
An Introduction to Public Key Cryptography
Students secure information online using cryptography. In this algebra lesson, students use RSA technology to encrypt information on the internet. They use modular reduction of natural numbers to understand prime number theory.
Curated OER
Introduction to Inverse Functions
Pupils investigate patterns of inverse functions. For this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
Curated OER
Photometry of Stars and Clusters
Learners apply an algorithm to measure the distance to stars in the night sky. For this photometry lesson, students observe stars in the night sky as they measure the distance to them and to the cluster, The Milky Way. They apply the...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
National Security Agency
Money Maters: Integers are Integral!
A thoroughly-written lesson plan and a plethora of worksheets about integers comprise this resource. Neophyte number crunchers learn to recognize integers, add and subtract them, and apply the concepts to the designing of a personal...
Curated OER
Fun With Fractals
Students use fractals to analyze nature. In this geometry instructional activity, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
Curated OER
It's Not All Greek to Me
Learners find out the meaning for prefixes used in math vocabulary. By dissecting words used in everyday math, they figure out what the prefix indicates and what the word means. A variety of well-organized worksheets and activities...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations instructional activity, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step...
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational instructional activity explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the instructional activity...
Balanced Assessment
Disc-Ness
Transform your scholars into mathematicians as they develop their own geometric definition. The task asks individuals to compare cylindrical objects and create a definition for the disc-ness of each object. They may use any method and...
Balanced Assessment
Bumpy-Ness
Develop a new measure of the properties of an object. Scholars develop a definition and formula to measure the bumpy-ness of an object. They utilize their formulas to find the property for several spherical objects.
Curated OER
Application of Graph Theory
Students investigate different online tutorials as they study graphing. In this graphing lesson, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.
Curated OER
Multiplying Decimals and Mixed Numbers
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.