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#### Checkpoint description

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#### Elliott Fletcher commented 5 years, 2 months ago

Yeah i think there is an always/sometimes/never question already for this.

#### Chris Graham5 years, 2 months ago

Gave some feedback: Ready to use

#### Chris Graham commented 5 years, 2 months ago

This is OK. I'm not sure if we wrote an always/sometimes/never question, but if we didn't then it would be an excellent addition.

Published this.

#### Stanislav Duris5 years, 3 months ago

Saved a checkpoint:

If this question isn't ready and someone needs to adjust this question - make sure that the interval in part c) always includes one square number only! The x variable makes sure the numbers increase in ascending order in the question, so don't confuse x1, x2, etc. with x, x,.. because these may not be the same and x, x,.. are the ones used in the question.

#### Stanislav Duris5 years, 3 months ago

Gave some feedback: Needs to be tested

#### Christian Lawson-Perfect5 years, 3 months ago

Gave some feedback: Has some problems

#### Christian Lawson-Perfect5 years, 3 months ago

Saved a checkpoint:

I don't think you need the $x_i$ notation. This question should test that the student knows what a superscript 2 or 3 means. This question could just be, "Find $5^2$"; "Find $3^3$"; "Find the first square number between $124$ and $165$".

#### Elliott Fletcher commented 5 years, 3 months ago

Main Parts

a) i would write (x_n)^2 instead of x^2.

b) i would write (x_n)^3 instead of x^3. Also, its up to you but you could maybe include (x_5)^3 as an extra question here.

c) i think there should be a full stop after the inequality here.

a) i think there should be full stops at the end of each of the calculations, like after the 9 in the calculation for 3^2.

b) again i think there should be full stops at the end of each of the calculations.

c) i would say "Here is a table of square numbers for integers from 1-15"

I would also include an extra sentence before you calculate the square root of y^2. You could say "To calculate y we must calculate the square root of y^2," and then have a full stop at the end of the equation here as well.

Otherwise, this looks good!

#### Stanislav Duris5 years, 3 months ago

Gave some feedback: Needs to be tested

#### Christian Lawson-Perfect5 years, 3 months ago

Gave some feedback: Has some problems

#### Christian Lawson-Perfect commented 5 years, 3 months ago

I don't think part a is a well-conceived question. First of all, I don't like telling students not to use calculators. You can sometimes hint that a calculator won't be useful, but don't give them the idea that using calculator is ever bad.

When you're told $x$ and $x^3$ but not $x^2$ - why would you ever calculate $(x^3)^{2/3}$ instead of just squaring $x$?

Similarly, when you're given $x^3$ and $x^3$ but not $x$, I don't think anyone would take the cube root instead of the square root. So why show both?

Some ideas for different questions on the same topic:

• Calculate $x^2$ for $x$ from 1 to 10.
• Calculate $x^3$ for $x$ from 1 to 10.
• Find a number such that $x^2 \gt 100$ and $x^2 \lt 120$.
• An "always/sometimes/never" question for some statements. The student has to say if each of the statements is always true, sometimes true, or never true.
• $x^3$ is greater than $x^2$. (sometimes)
• If $x$ is negative, $x^2$ is negative (never)
• If $x$ is negative, $x^3$ is negative (always)
• $x^2 = x$ (sometimes)
• $(x+1)^2 \gt x$ (sometimes)
• $(x+1)^3 \gt x$ (always)
• When $x$ is a whole number, $x^2$ divides $x^3$ (always)
• $x^3$ has the opposite sign to $x$ (never)

Part b is good - it could be a separate question, called "calculate powers of ten"

#### Stanislav Duris5 years, 3 months ago

Gave some feedback: Needs to be tested

#### Stanislav Duris5 years, 3 months ago

Created this.
Square and cube numbers Ready to use Stanislav Duris 20/11/2019 14:43
Stanislav's copy of Tables of square/cube numbers and powers of ten before needs to be tested Should not be used Stanislav Duris 22/06/2017 14:27
Calculate powers of ten Ready to use Stanislav Duris 20/11/2019 14:34
Always, sometimes or never: square and cube numbers Ready to use Stanislav Duris 20/11/2019 14:32
Positieve en negatieve machten van 10 draft Johan Maertens 10/07/2017 12:47
Q3.Homework7 draft Patrick Joyce 07/08/2017 16:32
Q17.(new) draft Patrick Joyce 10/08/2017 15:53
Q18.(new) draft Patrick Joyce 10/08/2017 15:56
Q17.(new) Ready to use Patrick Joyce 05/12/2017 12:47
Q18.(new) Ready to use Patrick Joyce 05/12/2017 12:48
Q19.(new) Ready to use Patrick Joyce 05/12/2017 12:50
Q20.(new) Ready to use Patrick Joyce 30/11/2017 17:16
Grainne's copy of Q19.(new) draft Grainne Scanlon 16/01/2018 13:45
Louise's copy of Calculate powers of ten draft Louise Lynch 26/01/2022 19:48
Always, sometimes or never: square and cube numbers draft Xiaodan Leng 11/07/2019 01:45
Square and cube numbers 1 draft Leonardo Juliano 19/09/2019 16:05
Calculate powers of ten Ready to use Melissa D'Ascenzio 12/06/2020 15:12
ALG Conceptos de algebra siempre nunca algunas veces draft David Vanegas 05/06/2020 03:05
Calculate powers of ten Ready to use John Ian Keng 01/07/2020 14:57
Square and cube numbers Ready to use John Ian Keng 01/07/2020 15:07
Always, sometimes or never: square and cube numbers Ready to use John Ian Keng 01/07/2020 14:56
Immer, manchmal oder nie? (Quadratzahlen und dritte Potenzen) Ready to use Ulrich Görtz 20/10/2020 19:25
Edina's copy of Square and cube numbers draft Edina Kurdi 18/03/2021 14:34
Powers of ten Ready to use Dr Palat Meethale Ushasree 23/09/2021 16:34
Alison's copy of Calculate powers of ten Ready to use Alison Loddick 27/09/2022 11:37

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