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cube numbers reasoning and problem solving

Cube Numbers

Use this resource to generate maths questions based on cubing numbers; a useful exercise for helping Year 5 and Year 6 pupils understand the relationship between numbers, multiplying numbers of varying sizes and improving basic Multiplication skills.

Use this resource to generate maths questions based on cubing numbers; a useful exercise for helping Year 5 and Year 6 pupils understand the relationship between numbers and for improving their basic Multiplication skills.

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cube numbers reasoning and problem solving

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Find Cubes Of Numbers Between

3 x 3 x 3 = ?

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cube numbers reasoning and problem solving

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12 Worksheets All Viking Themed Factors Multiples Prime Numbers For Year 5 Classes £3.00

Viking Themed Factors, Multiples and Prime Numbers Maths Worksheets for Year 5 classes.Covers Factors, Multiples and Prime Numbers.

Viking Themed Factors, Multiples & Prime Number Problems for Year 5

18 Worksheets Factors Multiples Squares & Cubes All Answer Sheets Mixed Ability £3.00

Factors and Multiples Maths Worksheets. Covers Factors, Multiples, Square Numbers and Cube Numbers.

Finding Factors, Multiples, Squares and Cubes Worksheet Collection

16 Worksheets 140+ Questions Multiplication Scaling & Doubling For Year 4 Classes £3.00

Multiplication Maths Worksheets for Year 4 classes. Covers Multiplication, Doubling and Scaling.

Year 4 Multiplication Worksheets

16 Worksheets 140 Questions Multiplication & Scaling Squaring & Cubing For Year 6 Classes £3.00

Multiplication Maths Worksheets for Year 6 classes. Covers Multiplication, Square Numbers, Cube Numbers and Scaling.

Year 6 Multiplication Worksheets

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cube numbers reasoning and problem solving

Cube Numbers - PowerPoint

Cube Numbers - PowerPoint

Maths Resource Description

Cube numbers are an essential concept in mathematics, particularly for Year 5 students learning about multiplication and division. A cube number is the product you get when you multiply a number by itself three times. For example, when you multiply 2 by itself twice more (2 x 2 x 2), you get 8, which is a cube number. This concept is visually represented by the volume of cubes, where the number of units along each edge of the cube is the same. To express a number as cubed in mathematical notation, a small '3' is placed to the top right of the number, such as 4 cubed being written as 4³.

The educational resources include engaging activities where students can use multilink cubes to explore and verify cube numbers. They are encouraged to identify cube numbers from visual representations and to calculate the cube of different numbers, such as 3³ equalling 27. Additionally, worksheets provide exercises for matching numbers to their equivalent cube values, solving equations involving cube numbers, and identifying cube numbers from a list. These exercises are designed to enhance fluency, reasoning, and problem-solving skills related to cube numbers, with answers provided to facilitate learning and self-assessment.

Cube Numbers

cube numbers reasoning and problem solving

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Cube Numbers Year 5 Multiplication and Division Resource Pack

Cube Numbers Year 5 Resources

Step 6: Cube Numbers Year 5 Autumn Block 4 Resources

Cube Numbers Year 5 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 4.

cube numbers reasoning and problem solving

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What's included in the pack?

This pack includes:

  • Cube Numbers Year 5 Teaching PowerPoint.
  • Cube Numbers Year 5 Varied Fluency with answers.
  • Cube Numbers Year 5 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 5: (5C5d) Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)

Differentiation:

Varied Fluency Developing  Questions to support the recognition and use of cube numbers. Includes the first 5 cube numbers. Expected  Questions to support the recognition and use of cube numbers. Includes the first 12 cube numbers. Greater Depth  Questions to support the recognition and use of cube numbers. Includes the first 12 cube numbers and applying knowledge of square numbers.

Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing  Find and explain the odd one out. Includes the first 5 cube numbers. Expected  Find and explain the odd one out. Includes the first 12 cube numbers. Greater Depth  Find and explain the odd one out. Includes the first 12 cube numbers and applying knowledge of square numbers.

Questions 2, 5 and 8 (Reasoning) Developing  Prove if a given number is a cube number. Includes the first 5 cube numbers. Expected  Prove if a given number is a cube number. Includes the first 12 cube numbers. Greater Depth  Prove if the answer to a given calculation is a cube number. Includes the first 12 cube numbers and applying knowledge of square numbers.

Questions 3, 6 and 9 (Problem Solving) Developing  Solve a word problem using knowledge and understanding of cube numbers. Includes the first 5 cube numbers. Expected  Solve a word problem using knowledge and understanding of cube numbers. Includes the first 12 cube numbers. Greater Depth  Solve a word problem using knowledge and understanding of cube and square numbers. Includes the first 12 cube numbers and square numbers.

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cube numbers reasoning and problem solving

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Year 6 - Square and cube numbers

Year 6 - Square and cube numbers

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Mastery Maths Shop

Last updated

5 November 2021

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cube numbers reasoning and problem solving

This is a whole lesson based on the Year 6 objective “Square and cube numbers". This resource includes the teacher input ( learning journey), independent worksheet and a challenge activity to deepen the children’s understanding of the concept being learned.

The questions have been inspired and adapted from the White Rose Small Steps Guidance and Teaching for Mastery documents. This document is useful for teachers who have adapted Maths Mastery and need guidance in the approach or those who are looking for variation in fluency, reasoning and problem solving or simply those who don’t want to plan it themselves but want high quality resources and quality first teaching. =)

This document is uploaded as a SMART Notebook file and it is interactive. The concrete/pictorial manipulative can be used, moved and manipulated.

This document can be downloaded on SMART Notebook and it is also available as a PDF or as a PowerPoint for those who do not have SMART Notebook, however the PDF file is not interactive.

Please note - some of my resources are available on Activinspire and some of the newer content is available on SMART Notebook, please be aware of the file you are downloading before you purchase/ download.

Thank you for taking the time to review my resources. =) I hope this helps you with your teaching and if it does please could you be kind enough to leave some positive feedback. =)

Kind regards,

@MasteryMaths01

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IMAGES

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VIDEO

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COMMENTS

  1. PDF Year 5 Cube Numbers Reasoning and Problem Solving

    Reasoning and Problem Solving Cube Numbers Reasoning and Problem Solving Cube Numbers Developing 1a. 2³ + 32 is the odd one out because the answer is 40. The answer to the other calculations is 50. 2a. Mo is correct because when the number 5 is multiplied by itself and then by itself again, the product is 125. 3a. 1 Expected

  2. PDF Year 6 Square and Cube Numbers Reasoning and Problem Solving

    Reasoning and Problem Solving Square and Cube Numbers Reasoning and Problem Solving Square and Cube Numbers Developing 1a. 2a. 50 is the odd one out because it does not have a matching square or cube card. 6² (6 x 6) = 36, 10² (10 x 10) = 100, 43 (4 x 4 x 4) = 64 3a. 2 3 (2 x 2 x 2) < 7² (7 x 7), 2 (2 x 2 x 2) <

  3. PDF Homework/Extension Step 6: Cube Numbers

    involving the first 12 cube numbers. Greater Depth Join three matching pairs to find the odd one out. Includes calculations involving the first 12 cube numbers and knowledge of square numbers. Questions 3, 6 and 9 (Reasoning and Problem Solving) Developing Explain if given statements describe even numbers. Statements include the first 5 cube ...

  4. Year 5 Diving into Mastery: Step 7 Cube Numbers Teaching Pack

    Teach year 5 children to find and use cube numbers with this excellent Diving into Mastery teaching pack. The PowerPoint and activities use a mastery approach to give children the opportunity to develop fluency and apply their reasoning and problem-solving skills. These high-quality lesson resources are ideal for developing children's knowledge ...

  5. Cube Numbers and Cube Roots Practice Questions

    The Corbettmaths Practice Questions on Cube Numbers and Cube Roots

  6. Cube Numbers

    The worksheets contain varied fluency, reasoning and problem solving to reinforce and consolidate the children's learning. Content includes: An animated PowerPoint lesson; Activities to support the teaching of these objectives and an accompanying worksheet; 3 further differentiated worksheets with answers 'Cube Numbers - Year 5' is ...

  7. FREE!

    There are opportunities for children to practise multiplication and calculate cube numbers, compare cube numbers by using <, > and = notation, and to answer reasoning questions to deepen their understanding. Children will be further challenged by answering problem-solving style questions and through completing tables on cube numbers.

  8. Free Cube Numbers Worksheets for Year 3, Year 4, Year 5, Year 6

    Cube Numbers. Use this resource to generate maths questions based on cubing numbers; a useful exercise for helping Year 5 and Year 6 pupils understand the relationship between numbers, multiplying numbers of varying sizes and improving basic Multiplication skills.. Use this resource to generate maths questions based on cubing numbers; a useful exercise for helping Year 5 and Year 6 pupils ...

  9. Year 5 Square and Cube Numbers PlanIt Maths Lesson 2

    In this year 5 maths lesson pack, children find cube numbers by using interlocking cubes and building complete cubes. They build a range of cubes and learn to find the dimensions of a shape. This lesson encourages children to deepen their knowledge of finding cube numbers through reasoning and problem-solving opportunities, working systematically by completing a simple table to track their ...

  10. White Rose Maths

    White Rose Maths - Year 5 - Block 4 - Square and Cube Numbers (Varied Fluency and Problem Solving) A set of varied fluency and a set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that level.

  11. Square and Cube Numbers Problem Solving Mastery Worksheet

    Resource type: Worksheet/Activity. File previews. pdf, 106.79 KB. pdf, 182.49 KB. This is a mastery worksheet on Square and Cube Numbers that includes questions on fluency, reasoning and problem solving. This worksheet aims to provide differentiation and challenge whilst saving teachers time! All answers are provided for the questions.

  12. Year 5 Cube Numbers Lesson

    This Year 5 Cube Numbers lesson covers the prior learning of calculating square numbers, ... This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of cube numbers. Login to download. Application and Reasoning from the old Resource Pack.

  13. PDF Year 6 Square and Cube Numbers Discussion Problem

    Discussion Problems Step 12: Square and Cube Numbers National Curriculum Objectives: Mathematics Year 5: (5C5d) Recognise and use square numbers and cube numbers, and ... provides pupils with more opportunities to enhance their reasoning and problem solving skills through more challenging problems. Pupils can work in pairs or small groups to

  14. PDF Year 6 Square and Cube Numbers Varied Fluency

    Varied Fluency - Square and Cube Numbers - Teaching Information. 1a. square numbers and underline the cube numbers. 4 x 4 x 4 = 64 11 x 11 = 121. 2 x 2 = 4 6 x 2 = 12. 4 x 5 = 20 5 x 5 x 5 = 125. D. 1b. square numbers and underline the cube numbers. 3 x 3 x 3 = 27 10 x 10 = 100. 5 x 2 = 10 8 x 8 = 64.

  15. Cube Numbers

    Maths Resource Description. Cube numbers are an essential concept in mathematics, particularly for Year 5 students learning about multiplication and division. A cube number is the product you get when you multiply a number by itself three times. For example, when you multiply 2 by itself twice more (2 x 2 x 2), you get 8, which is a cube number.

  16. PDF Reasoning and Problem Solving Step 5: Square Numbers

    Reasoning and Problem Solving Square Numbers Reasoning and Problem Solving Square Numbers Developing 1a. 52 2a. 3 3a. Drew is incorrect. The array represents 32 because 3 x 3 = 9. Expected 4a. 5 2+ 6 , 72 + 8 5a. 7, 6 6a. Henry is incorrect. To find the square of a number, you multiply a number by itself. Only 22 is 2 x 2. Greater Depth 7a ...

  17. Y6 DiM: Step 6 Square and Cube Numbers Teaching Pack

    This Diving into Mastery teaching pack supports the White Rose Maths Y6 small step 6: 'Square and cube numbers'. Included in this pack is a PowerPoint and activity sheets to use with the whole class to develop fluency, reasoning and problem-solving skills. This excellent resource will prove invaluable for any year 6 teacher. The above video may ...

  18. Cube Numbers Year 5 Multiplication and Division Resource Pack

    Includes the first 5 cube numbers. Expected Prove if a given number is a cube number. Includes the first 12 cube numbers. Greater Depth Prove if the answer to a given calculation is a cube number. Includes the first 12 cube numbers and applying knowledge of square numbers. Questions 3, 6 and 9 (Problem Solving)

  19. Recognise and use square numbers and cube numbers year 5

    Recognise and use square numbers and cube numbers year 5. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. I am a primary school teacher in England. I currently teach year 6, but I have experience in year 2, year 4 and year 5as well. I make all my resources, and I try to make them as fun as possible.

  20. PDF Homework/Extension Step 12: Square and Cube Numbers National Curriculum

    Greater Depth Identify if the square numbers up to 12², cube numbers up to 12³ and root numbers have been sequenced in order from smallest to largest. Numbers presented within calculations involving all four operations. Questions 3, 6 and 9 (Reasoning and Problem Solving)

  21. Cube Perspective

    Count the number of cubes on the board. Be careful! Some may be hiding. ... Spatial Reasoning - visualize cube placements Problem Solving - determine the number of cubes on the screen. Common Core Connection for Grades 3+ Reason with shapes and their attributes. Draw and identify lines and angles. ... Spatial Reasoning. FUN KIDS GAMES Fun Games ...

  22. Year 6

    This is a whole lesson based on the Year 6 objective "Square and cube numbers". This resource includes the teacher input ( learning journey), independent worksheet and a challenge activity to deepen the children's understanding of the concept being learned. ... reasoning and problem solving or simply those who don't want to plan it ...

  23. Year 5 Diving into Mastery: Step 6 Square Numbers Teaching Pack

    A mastery approach is developed by providing visual representations, together with a variety of opportunities to develop fluency, reasoning and problem-solving. This Diving into Mastery teaching pack complements the teaching of the year 5 White Rose Maths autumn multiplication and division block small step 6 'Square numbers'.