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.
Computer Science Unplugged
Divide and Conquer—Santa’s Dirty Socks
The story "Santa's Dirty Socks" provides learners an example of a search algorithm that uses a divide and conquer system similar to a binary search algorithm. The included questions expand upon the concepts that follow the story.
Shodor Education Foundation
Algorithm Discovery with Venn Diagrams
Here is a lesson that takes an interesting approach to analyzing data using box and whisker plots. By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that fits...
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...
TryEngineering
Fun with Sorting
Who knew sorting could be so much fun? Scholars participate in a sorting activity where they develop questions to place a list of numbers in order. They consider how these questions can be used as an algorithm.
Teaching Tolerance
Understanding Online Searches
Discover what's behind an online search. Scholars read a handout and engage in discussions to learn how to critically evaluate online search results. Then, working in small groups, they create posters listing their demands for search...
Curated OER
Inside OKCupid: The Math of Online Dating
Capture the hearts of your young statisticians with this real-life example of using statistics in online dating. The use of average and geometric mean are discussed in the context of creating the algorithm used to connect people.
Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
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...
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 instructional activity of the series. They begin building a simple digital assistant and...
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...
Curated OER
Stochastic and Deterministic Modeling
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Curated OER
Two-Digit Addition at the Zoo
Your second graders explore two digit addition with regrouping. They will investigate problem solving strategies within the context of a trip to the zoo. Multiple resources and assessments are provided.
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...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 14
Be sure to place value on place value understanding. Young mathematicians learn to divide decimals by whole numbers when compatible numbers are not available. They use place value discs in place value charts, then connect this strategy...
Curated OER
Folding strips of paper
Fifth graders need concrete experiences to introduce a unit on multiplying fractions by fractions. A strip of paper is used to create a number line and represent 5/6. It is folded first in half, and then in quarters. After unfolding,...
Ohio Department of Education
Models for Dividing Fractions - Grade Six
Fifth and sixth graders use food and candy to help them represent division of fractions and develop algorithms to solve fraction problems. They discuss dividing whole numbers by fractions. Pupils use sticks and chocolate bars to...
Code.org
Processing Arrays
Scholars use a playing card activity to help them develop a program to find the minimum value of a list. They learn to use for loops to write code that will process lists.
Code.org
Text Compression
The second lesson in a unit of 15 introduces pupils to text compression. The class begins with discussing how they already use text compression when sending text messages. Pairs learn more about the subject as they work to compress a...
Curated OER
Turn Up the Volume
Measuring volume can be a mystery for 5th graders, but this hands-on activity gives the gift of discovery. The volume of simple rectangular solids and irregular shapes are calculated through various methods including displacing liquid in...
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