Code.org
Algorithms Detour - Minimum Spanning Tree
This optional lesson plan introduces the class to the idea of a minimum spanning tree. The activity focuses on determining an algorithm that will find the most efficient path in a network to transfer data.
EngageNY
The Euclidean Algorithm as an Application of the Long Division Algorithm
Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson connects greatest common factor to the largest square that can be drawn in a rectangle.
EngageNY
Dividing Multi-Digit Numbers Using the Algorithm
Scholars learn to divide multi-digit numbers using the standard algorithm in the 14th installment in a module of 21 parts. They get plenty of practice with the algorithm by completing a worksheet.
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Concord Consortium
Vending Machine
Let the resource quench your thirst for knowledge, like a vending machine that dispenses drinks. Future computer scientists develop an algorithm to identify the fewest number of coins that a vending machine could use in creating change....
College Board
2006 AP® Computer Science A Free-Response Questions
Inheritance is a programming problem. Released free-response questions allow pupils and teachers to experience the 2006 AP® exam phrases questions. The items range from the application of basic algorithms to using inheritance in a...
College Board
2004 AP® Computer Science A Free-Response Questions
What is important from the instruction? Using the questions, pupils and teachers see how the AP® Computer Science exam addresses topics. Scholars realize the importance of the case studies from the course. The released questions range...
Illustrative Mathematics
Running Time
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
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.
Virginia Department of Education
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
Computer Science Field Guide
Computer Science Field Guide
Imagine computer science all summed up in one book. This resource provides 16 chapters that cover many aspects of computer science, ranging from algorithms to software engineering. The e-book contains links to applets to help explain...
College Board
2007 AP® Computer Science A Free-Response Questions
Stay tuned for a programming announcement. The resource contains the four free-response questions from the 2007 AP® Computer Science exam. Teachers and pupils use the questions to understand how topics appear on exams. The items cover...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Code.org
Hard Problems – Traveling Salesperson Problem
Even computers find this to be a hard problem. In the eighth installment of a 12-part unit, young computer scientists learn about the traveling salesperson problem. They formulate algorithms to solve the problem and find out why it is...
Code.org
Introduction to Digital Assistant Project
How does a computer recognize voice commands? Scholars learn about digital assistants and natural language processing (NLP) algorithms in the ninth lesson of the series. They begin building a simple digital assistant and work on this...
Scholastic
Study Jams! Addition with Regrouping
Zoe needs to back up her music collection, but do her friends have enough space on their computers to help? Find out as you teach your class how to add two- and three-digit numbers with regrouping. Place value is emphasized as both the...
Curated OER
Multiplication & Division Word Problems
Show your class all the hard work you have put into their lesson by showing this PowerPoint presentation. They will not only be proud of you, but it will help them solve multiplication and division word problems using the algorithms.
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 9
Introduces addition of decimals by using unit notation to represent the problem. Pupils use a place value chart to decompose the numbers and then add before connecting to the standard algorithm.
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 10
Take a little bit away. The 10th section of an 18-part unit introduces subtraction of decimals. Scholars use a place value chart like they did with addition of decimals to organize and represent the problem. After using the place value...
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.
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Scholastic
Study Jams! Single-Digit Division
Learning the algorithm for long division is no easy task, but this resource helps to break the process into manageable steps. Beginning with an explanation of basic division vocabulary, this presentation goes on to model long division...
EngageNY
Describing the Center of a Distribution Using the Mean
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
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