Seven Squares

NRICH

• All in a Jumble
• Attractive Tablecloths
• Can They Be Equal
• Charlies Delightful Machine
• Diamond Collector
• Factorising with Multilink
• Factors and Multiples Game
• GOT IT
• Keep it Simple
• Kite in a Square
• M M and M
• Marbles in a Box
• Mixing Lemonade
• Nontransitive Dice
• Number Pyramids
• Odds and Evens
• Olympic Measures
• Olympic Records
• Painted Cube
• Pair Products
• Place Your Orders
• Seven Squares
• Summing Consecutive Numbers
• Temperature
• Tilted Squares
• Warmsnug Double Glazing
• What Numbers Can We Make
• Whats Possible
• Whats it Worth
• Which List is Which
• Which Spinners
  

<<< >>>

Problem, Clue, Solution, Teachers' note

Choose a few of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?

Teaching approach. This lesson idea is about reasoning, justifying, convincing and proof^(ta).

The collection of NRICH activities are designed to develop students capacity to work as a mathematician. Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, justifying, proving are all at the heart of mathematical thinking.

This particular resource has been adapted from an original NRICH resource. NRICH promotes the learning of mathematics through problem solving. NRICH provides engaging problems, linked to the curriculum, with support for teachers in the classroom. Working on these problems will introduce students to key mathematical process skills. They offer students an opportunity to learn by exploring, noticing structure and discussing their insights, which in turn can lead to conjecturing, explaining, generalising, convincing and proof.

The Teachers’ Notes provided focus on the pedagogical implications of teaching a curriculum that aims to provoke mathematical thinking. They assume that teachers will aim to do for students only what they cannot yet do for themselves. As a teacher, consider how this particular lesson idea can provoke mathematical thinking. How can you support students' exploration? How can you support conjecturing, explaining, generalising, convincing and proof?.

Resource details
Title	Seven Squares
Topic	Algebra
Teaching approach	Reasoning,  justifying,  convincing and proof
Learning Objectives	Reasoning, justifying, convincing and proof
Subject	Maths
Age of students / grade	KS3,  Secondary
Related ORBIT Wiki Resources	The following NRICH resources have the teaching approach "Reasoning, justifying, convincing and proof": Kite in a Square, Olympic Records, Seven Squares, Whats it Worth The following NRICH resources have the topic "Algebra": Charlies Delightful Machine, Diamond Collector, Factorising with Multilink, Number Pyramids, Pair Products, Seven Squares, Temperature, Visualisations, Whats Possible
Files and resources to view and download	The following parts are available: Problem, Clue, Solution, Teachers' note. The original problem is available on the NRICH website here.
Acknowledgement	The NRICH website http://nrich.maths.org publishes free mathematics resources designed to challenge, engage and develop the mathematical thinking of students aged 5 to 19. NRICH also offers support for teachers by publishing Teachers’ Resources for use in the classroom.
License	CC-By, with kind permission from NRICH. This resource was adapted from an original NRICH resource.