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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Lesson Plan
Curated OER

Prime and Composite Numbers - Kenwood Academy

For Teachers 4th - 7th
Learners investigate prime and composite numbers. They use a number chart and cross out multiples of 2,3,5 etc. up to 100. Pupils fold pieces of masking tape around pennies and label them with composite numbers, then fold masking tape...
Lesson Plan
Curated OER

Sieve of Eratosthenes

For Teachers 5th - 8th
Students discover the Sieve of Erathosthenes. They explore a method to find all the prime numbers in a group of numbers. Using models, students practice divisibility rules while examining the difference between prime and composite numbers.
Lesson Plan
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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

Am I Am I Prime?

For Teachers 7th
Seventh graders determine if a number is prime or composite.  For this determining if a number is prime or composite lesson, 7th graders use a website to help find all prime numbers between 1 and 100.  Students use a website to...
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
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
Math Solutions

Factor Game

For Teachers 4th - 6th Standards
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key...
Lesson Plan
Curated OER

Investigation-Design Your Own Spinner

For Teachers 6th - 8th
Young scholars design their own spinner that meets the given criteria. In this math lesson, students discuss biased versus unbiased events or outcomes when dealing with probability. Young scholars are given 5 criteria that must be...
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...
Lesson Plan
Curated OER

Mathematics: Prime and Composite Numbers

For Teachers 6th
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
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
Bowland

Pointzero: Confined

For Teachers 6th - 8th Standards
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...
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
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
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1
Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
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
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

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

Load! Ready! Fire!

For Teachers 4th - 6th
Students will identify the parts of a cannon and practice demonstrating a mock firing. In this math and science lesson plan, students read background information on the cannon and its firing. Students read about and role play positions...
Lesson Plan
Curated OER

Discovering New Units

For Teachers 4th - 6th
Students use Cuisenaire rods to explore common denominators. In this fractions lesson, students build Cuisenaire representations of fractions, then find their equivalent counterparts to find the common denominator.
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...