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EngageNY

The Power of Algebra—Finding Primes

For Students 10th - 12th Standards
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...
Lesson Plan
Curated OER

Prime Numbers

For Teachers 9th - 11th
Students differentiate between prime and composite numbers. In this algebra lesson, students define the terminology and investigate the contributions made by Eratosthenes and Euclid as it relates to prime numbers. Students apply the...
Lesson Plan
Curated OER

Prime & Composite Numbers: Algebra/Geometry Institute 2009

For Teachers 7th - 8th
Students create factor trees.  In this prime and composite instructional activity, students model fractions using tiles.  They create factor trees and identify prime and composite numbers.  Students use grid paper and...
Lesson Plan
Curated OER

Grade 5: Multiple Towers

For Teachers 5th
Fifth graders use interlocking cubes to build towers to represent factors of numbers and place the towers in the appropriate places on a Tower chart in order to look for patterns. They work in partner groups, and finish by writing...
Activity
Education Development Center

Integer Combinations—Postage Stamps Problem (MS Version)

For Students 4th - 7th Standards
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
Activity
Education Development Center

Integer Combinations—Postage Stamps Problem (HS Version)

For Students 8th - 9th Standards
It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...
Lesson Plan
EngageNY

Mental Math

For Students 10th - 12th Standards
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math. 
Lesson Plan
Curated OER

A Prime Investigation wtih 7, 11, and 13

For Teachers 9th
Ninth graders investigate divisibility rules.  In this middle school mathematics/Algebra I instructional activity, 9th graders explore the divisibility rules of 7, 11, and 13.  Students examine certain six-digit numbers that...
Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Young scholars explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Young scholars develop patterns starting with various numbers in...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Lesson Plan
Curated OER

Factoring

For Teachers 9th
Ninth graders factor equations and find prime numbers. In this algebra lesson, 9th graders find the factors and prime factors of a number using multiples and relatively prime numbers.
Lesson Plan
Curated OER

Mathematics Within: Algebraic Processes and Its Connections to Geometry

For Teachers 5th
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row....
Lesson Plan
Curated OER

Greatest Common Factor: Using the Factor Tree

For Teachers 9th - 10th
Learners find the greatest common factor of two numbers. In this algebra lesson, students use prime factorization to find their factor to simplify equations. they create a factor tree to find the factors of composite numbers.
Lesson Plan
Curated OER

Square Roots

For Teachers 7th - 8th
Students differentiate between perfect roots and rational roots. In this algebra activity, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
Lesson Plan
Curated OER

An Introduction to Public Key Cryptography

For Teachers 8th - 10th
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.
Lesson Plan
Curated OER

The Quadratic Formula

For Teachers 7th - 10th
Students solve quadratic function by completing the square. In this algebra lesson, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.