This problem provides students an opportunity to find equivalent fractions and carry out some simple additions and subtractions of fractions in a context that may challenge and motivate students. Users need to download, print, and cut-out the fraction jigsaw. Then, they must arrange the square pieces right-side up so that the edges that touch contain equivalent fractions. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support.

In this problem students use a visual representation of fractions to compare fractions. Students are given two fractions and using the fraction wall they must compare them and find the difference between them. A Teacher's Notes page, hints, solutions, and printable pages are provided. The goal of this problem is for students to compare the two fractions given by using the visual fraction wall or their knowledge of equivalent fractions and subtracting fractions.

This problem gives students practice in calculating with fractions, using factors and multiples, finding equivalent fractions, logical reasoning, and working systematically. Students use clues to determine the total number of discs in a game and the fraction represented by each color. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support, and a printable (pdf) worksheet of the problem.

This article highlights a number of mathematical strategy games that are available on the NRICH website. Most have interactive versions but also can be played offline. The author explains their value in the classroom, offers suggestions for implementation and extension, and provides links to the games and to other related articles.

This Nim-like interactive Flash game provides an opportunity to practice basic addition and subtraction while developing strategic thinking through generalization and by applying knowledge of factors and multiples. It can be played against the computer or a friend. Players take turns adding a whole number from 1 to 4 to a running total. The player who hits the target of 23 wins. Computer settings allow changing the target number, the range of numbers to add, who goes first, and whether the player reading the target wins or loses. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for support, and links to related games.

This three-act math task utilizes videos and questioning to help students explore addition and subtraction within 100.

In this set of addition and subtraction word problems students are encouraged to find their own way to solve the problems. This enables students to discover the strengths and weaknesses of different solution methods and to see how multiple methods all arrive at the same answer. Included with the problem set are tips for getting started, the solutions, a teacher resource page, and a printable student page.

This three-act math task utilizes videos and questioning to help students explore addition and subtraction within 20.

This video is performed by MC Santi, off his album "Math Volume 1". Check out MCSantiMath.com for more tutorials and other learning resources. Song and alb...

This three-act math task utilizes videos and questioning to help students explore adding and subtracting money.

This three-act math task utilizes videos and questioning to help students explore addition and subtraction.

This three-act math task utilizes videos and questioning to help students explore addition and subtraction within 20.

This three-act math task utilizes videos and questioning to help students explore addition and subtraction within 1000.

This collection of division word problems prompts learners to use a variety of methods of division. Allowing learners to choose their own method to solve the word problems enables them to see the strengths and weaknesses of various methods and to see why certain methods might be better for specific problems. Included with these problems is the solution, teacher resource page, tips on getting started, and a printable student page.

This problem allows students to explore introductory multiplication and division concepts in the context of sharing cookies ("biscuits" in the UK). Cookies are displayed in two different arrays, and students are challenged to divide them equally among two, three, five, and six people and to deal with remainders. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support, and a printable sheet (pdf).

This problem provides an opportunity for students to form and test conjectures, and make generalizations, while exploring the effect of parity on simple whole number sums. Solvers are asked to arrange given sets of numbers in a V formation so that the sums of the numbers in each "arm" are equal. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, a printable record sheet (pdf) and links to two YouTube videos demonstrating use of the problem in a professional development setting (videos cataloged separately).

The purpose of this task is for students to find different pairs of numbers that sum to 9.

This task requires students to study the make-a-ten strategy that they should already know and use intuitively. In this strategy, knowledge of which sums make a ten, together with some of the properties of addition and subtraction, are used to evaluate sums which are larger than 10.