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Questions tagged [middle-school]

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10 votes
4 answers
2k views

What kind of sequence is between an arithmetic and a geometric sequence?

In school we teach arithmetic and geometric sequences. Students should notice that arithmetic sequences (with common difference greater than $0$) grow steadily, while geometric sequences (with common ...
Dan's user avatar
  • 1,235
-1 votes
2 answers
184 views

What are your most recommended resources to teach fractions?

Please share your resources for learning and teaching fractions...sites, videos, worksheets etc. I am looking for online resource similar to this: https://worksheetgenius.com/math/fractions-add/ with ...
David Hoot's user avatar
3 votes
1 answer
82 views

International Baccalaureate - where to find the detail of the math programs?

Does anyone know what is the exact program of the International Baccalaureate in math? I've been looking for the MYP and DP programs in the website of the International Baccalaureate Institute but ...
niobium's user avatar
  • 225
4 votes
0 answers
138 views

When can students understand the intersection of two circles?

I'm interested in learning two transitions: (1) When can students reason (intuitively, but accurately) to conclude that two circles in the plane could intersect in $0$, $1$, or $2$ points, or are ...
Joseph O'Rourke's user avatar
0 votes
4 answers
291 views

How to motivate $x^n−y^n ≡ (x−y)(x^{n−1}+x^{n−2}y+...+xy^{n−2}+y^{n−1})$, to 13 year olds?

You can safely presuppose that 13 year old (y.o.) students learned the Difference of Squares and of Cubes identities, before tackling this Difference of Powers Identity ($x^n – y^n$). The glut of ...
user95017's user avatar
  • 429
0 votes
3 answers
301 views

How to explain why we can’t factor $x^n + y^n$ for all natural numbers n, to 13 year olds?

Michael Spivak, Calculus (4th edn 2008), p 13. I know this monograph is aimed at undergraduates (not middle schoolers), but this kind of multiple-part question resurfaces on standardized tests for 13 ...
user95017's user avatar
  • 429
-5 votes
1 answer
123 views

Does the "Middle School Mathematics domains" refer to (I) through (V) topics?

Does the "Middle School Mathematics domains" on page 3 of https://www.ets.org/content/dam/ets-org/pdfs/praxis/5164.pdf refer to the the following 5 topics/categories? (I) Numbers and ...
JJJohn's user avatar
  • 93
18 votes
7 answers
3k views

Do any middle-school texts indicate that irrationality requires proof?

I believe that most middle-school math curricula have at least a brief section about irrational numbers, in which students are taught (among other things) that $\sqrt{2}$ is irrational and $\pi$ is ...
Timothy Chow's user avatar
4 votes
2 answers
250 views

Resources for teaching decimal numbers

I am currently teaching special classes to students whose ages range from 11 to 15 and there is quite a wide spectrum in their levels of maths. The lessons are given in English and we do not have a ...
user929304's user avatar
5 votes
1 answer
1k views

Law of large numbers as a middle school topic?

My daughter (a biologist) is presently teaching also math at a middle school (9th grade, so about 14 years olds). Now the topic in probability seems to be the law of large numbers! More and more I ...
kjetil b halvorsen's user avatar
3 votes
5 answers
553 views

Why do we explicitly state the equality of two things when we know they're equal

Recently my brother in high school and I were talking about some math when he said If we know two things are the same i.e. equal why do we need to state that they're the same? What he was trying to ...
Harshit Rajput's user avatar
2 votes
1 answer
515 views

Help needed to find 7th & 8th grade completed math samples

I am trying to find samples of completed homework, class work and tests for 7th and 8th grade math in the US. I can find a million blank workbooks but not copies that students have completed with ...
Lucasodo's user avatar
10 votes
6 answers
945 views

What value is there in requiring students to declare the dimensions of an answer when it is already clear from context?

When I was in late primary and middle school (east coast US, early 1990's), we were assigned a lot of word problems of the following general form: Mary has eight self-sealing stem bolts. She sells ...
Robert Columbia's user avatar
13 votes
3 answers
365 views

Middle school math games for the parking lot

I'm looking for math games that a group of students in grades 5 to 10 (ages 11 to 15, say) could play in a gym or parking lot. My school has a STEM Day each year and I get tasked with cooking up some ...
B. Goddard's user avatar
5 votes
0 answers
366 views

Word problems written in past tense, present tense, or future tense

Does anyone have extensive classroom experience regarding the best verb tense to use when writing word problems at an elementary or middle school level? I have been writing some lessons recently and I ...
Ari's user avatar
  • 379

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