Does it address both struggling and advanced students? Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. Ratios And Proportional Relationships 6. The Number System 6. Being Collaborative Here are some problems that are ideal for working on with others. Thorough corresponding teacher pages for each problem share possible approaches, questions to ask, and possible extensions to other support ideas.

Use multiplication and division within to solve word problems in situations involving equal groups, arrays, and measurement quantities, e. Is the product adaptable and empowering? Kids are encouraged to “explore, question, notice, and discuss,” and submit solutions — as a group or solo. Teacher homepages are also grouped by grade bands; you can visit them directly or through the Teacher Resources link that accompanies every problem. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Online interactives and single-player and multiplayer offline games reinforce skills. Identify apparent relationships between corresponding terms.

This article, written for primary teachers, discusses what we mean by ‘problem-solving skills’ and draws attention to NRICH tasks which can help soving specific skills.

Grades This grade range is based on learning appropriateness and doesn’t take into account privacy.

Some games are playable online, others are mention for offline practice. The tasks in this collection encourage lower primary children to conjecture and generalise.

Weekly Problems :

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. These upper primary tasks could all be tackled using a trial and improvement approach.


There are offline games for young kids to play, often with a partner. Age 11 to 14 Challenge Level: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. Engagement Is the product nirch, entertaining, and engrossing? To access age-appropriate problems by topic, use the Other Resources link in the Collections box on any student or teacher homepage.

These lower primary tasks all specifically draw on the use of visualising.

nrich problem solving ks3

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Here are some problems that require careful consideration.

K grade level info is available. The tasks in this collection encourage children to create, recognise, extend and explain number patterns. Identify apparent relationships between corresponding terms. The fourth article builds on the third by discussing what we mean by problem-solving skills and how NRICH can ms3 children develop these skills.

nrich problem solving ks3

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Have a look at the weekly problem for KS, an archive of previous weekly problems or the weekly challenge for KS5.

NRICH Starter Problem Selection

We’ve collected together some of our favourite problems to help you along the way. In the second article, Jennie offers lroblem practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers. Apply brich of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.


We’ve also put together a collection of useful printable resources such as dotty paper and generic interactive resources which you might find useful for your own activities. Nrich is a brainy website for promoting math problem solving skills. The mrich approach to problem-solving challenges kids to think mathematically, giving them the tools to do so. Register for our mailing list.

Find a friend, share ideas, and see if two heads really are better than one! Thorough corresponding teacher pages for each problem share possible approaches, questions to ask, and possible extensions to other support ideas.

Take a look, we think ,s3 get hooked on them!

NRICH Starter Problem Selection :

Visual presentation needs to better adapt to its audience, with less text and easier “click” targets for younger kids in particular. Have you been inspired by the Roadshow activities? Common Sense says See details. Is problem solving at the heart of your curriculum?

nrich problem solving ks3

For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.