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Understanding Consecutive Squares and Odd Numbers

Understanding Consecutive Squares and Odd Numbers

Assessment

Interactive Video

Mathematics

6th - 9th Grade

Practice Problem

Hard

CCSS
8.EE.A.2, 6.EE.B.6, HSA.APR.C.4

+1

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.8.EE.A.2
,
CCSS.6.EE.B.6
,
CCSS.HSA.APR.C.4
CCSS.HSA.APR.C.5
,
The video tutorial explores the differences between consecutive squares, revealing a sequence of non-negative odd numbers. It provides a mathematical proof showing that the difference of consecutive squares results in an odd number, expressed as 2n + 1. The tutorial expands and simplifies the expression to demonstrate this pattern.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What pattern emerges when subtracting consecutive squares?

A sequence of negative numbers

A sequence of non-negative odd numbers

A sequence of even numbers

A sequence of prime numbers

Tags

CCSS.6.EE.B.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents an odd number?

2n

2n + 1

n^2

n + 1

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for the difference of consecutive squares?

(n+1)^2 - n^2

n^2 - (n-1)^2

2n + 1

n^2 + n

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of expanding (n+1)^2?

n^2 + 2n + 1

n^2 + n

2n + 1

n^2 - n

Tags

CCSS.8.EE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the difference of consecutive squares always result in an odd number?

Because n^2 is always even

Because (n+1)^2 is always odd

Because the expression simplifies to 2n + 1

Because n is always odd

Tags

CCSS.8.EE.A.2

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