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.
Curated OER
Solving a Simple Maze
It is a-maze-ing how lost one can get. Teams reconstruct a simple maze and solve it. Participants create an algorithm that a robot would follow in order to solve the maze as well. The activity includes an extension directing pupils to...
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...
Curated OER
Area Model of Multiplication Using Base 10 Manipulatives
Explore two-digit multiplication with your class as they work in groups to build models of two-digit multiplication using base 10 manipulatives. They construct rectangles replacing standard numbers with equivalent place values using...
Curated OER
Multiplying in Columns, Standard Way
In this multiplying and carrying worksheet, students compare the standard algorithm with the multiplying in parts method and their examples, choose which method to use, and find the products. Students solve twenty problems.
Curated OER
The Multiplier (origin of the algorithm)
Students explore basic algorithms for addition, subtraction, and multiplication. They use models to demonstrate solving two-digit by two-digit multiplication. Students demonstrate vertical formats to solve multiplication problems.
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...
Curated OER
Alternative Algorithms
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
Curated OER
Models and Algorithms to Solve Multiplication Problems
Students choose the correct strategy to solve multiplication and division. In this algorithm instructional activity, students use at least two strategies that use properties of operations and estimation. Students also recognize the...
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.
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...
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
Partial Quotients
Fifth graders examine the partial-quotients algorithm for finding the answer to a division problem. For this partial quotients lesson, 5th graders demonstrate the process of division through a series of estimations....
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.
Curated OER
Divisor The Great! (Divide by Two-Digit Divisors)
Manipulatives make learning division easier! Your class will discover the difference between dividing with one- and two-digit divisors, and practice the procedures for each using the standard algorithm. They will use estimation to ensure...
Gecko Mathematics
Gecko Mathematics: Multiplying Unit Fractions
Make learning visible! Have your mathematicians follow along as you use paper strips to demonstrate the concept of multiplying unit fractions. Then, offer a different way of solving the problem using a number line. Finally, introduce 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
Dividing Algorithm
Fifth graders solve a variety of math problems using division with remainders. They discuss the steps in the dividing algorithm and solve sample problems on the board. Students then solve division problems in teams, participating in a...
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.
Curated OER
Egyptian Multiplication
Students examine the Egyptian method of multiplication and independently multiply any two numbers using the Egyptian algorithm.
Curated OER
Partial Products
Third graders study partial-products algorithms. In this math instructional activity, 3rd graders use an algorithm to find the product of factors. Students discuss the relationships between multiplication and division.
Curated OER
Multiplication
Sixth graders play the game "MultipliACTION," where they use a standard algorithm to multiply numbers. They use the website Mathfrog and select "MultipliACTION." Students fill in the answer boxes, from right to left, top to bottom, or...
Illustrative Mathematics
Gifts from Grandma, Variation 3
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
NTTI
Putting Together Ten
Groups explore sets of 10 items in two varieties (i.e. 3 white buttons and 7 black ones, or 5 bears and 5 bunnies). They brainstorm about their objects, write math sentences to represent what they have, and report their discoveries...