Understanding Infinity

Understanding Infinity

Assessment

Interactive Video

Mathematics, Science

7th - 12th Grade

Practice Problem

Hard

CCSS
2.OA.C.3, 3.NF.A.1, 4.OA.C.5

+4

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.2.OA.C.3
,
CCSS.3.NF.A.1
,
CCSS.4.OA.C.5
CCSS.8.NS.A.1
,
CCSS.8.NS.A.2
,
CCSS.4.NBT.A.2
,
CCSS.3.NF.A.2B
,
James Grime discusses the concept of infinity, explaining that it is not a number but an idea of endlessness. He introduces different types of infinity, such as countable infinity, and demonstrates how fractions can be listed using diagonal lines. Grime then explains why real numbers are unlistable, introducing a new type of infinity. The video also highlights Georg Cantor's contribution to the understanding of infinity and the initial ridicule he faced before his ideas were recognized.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is infinity described as in the video?

A number

A concept

A formula

A calculation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the surprising fact about infinity mentioned in the video?

Infinity can be measured

Infinity is a number

Infinity is finite

There are different sizes of infinity

Tags

CCSS.2.OA.C.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the preferred term for 'countable' infinity according to James Grime?

Listable

Numerable

Measurable

Finite

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can fractions be listed according to the video?

By rows

By random order

By columns

By diagonal lines

Tags

CCSS.4.OA.C.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the issue with listing fractions row by row?

It only lists whole numbers

It skips even numbers

It never reaches the second row

It is too slow

Tags

CCSS.8.NS.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't real numbers be listed?

They are all fractions

They are uncountable

They are all integers

They are finite

Tags

CCSS.8.NS.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to show that real numbers are unlistable?

Multiplying numbers

Adding numbers

Subtracting numbers

Diagonal argument

Tags

CCSS.4.NBT.A.2

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