Rectangular Quadratic Patterns III

Front

What is a rectangular quadratic pattern?

Back

A rectangular quadratic pattern is a sequence of figures where the number of blocks increases in a quadratic manner, often represented by a quadratic equation.

Front

How do you identify a quadratic sequence?

Back

A quadratic sequence can be identified by finding the second differences of the terms, which will be constant.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the formula for the nth term of a quadratic sequence?

Back

Tags

CCSS.HSF.BF.A.2

Front

What is the first difference in a sequence?

Back

The first difference is the difference between consecutive terms in a sequence.

Tags

CCSS.HSF.BF.A.2

Front

What is the second difference in a sequence?

Back

The second difference is the difference of the first differences, and it helps to determine if a sequence is quadratic.

Front

How do you calculate the number of blocks in a figure of a quadratic pattern?

Back

To calculate the number of blocks, identify the pattern and use the formula for the nth term of the sequence.

Front

What does the term 'figure' refer to in quadratic patterns?

Back

In quadratic patterns, a 'figure' refers to a specific arrangement of blocks that corresponds to a particular term in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

What is the significance of the constant term in a quadratic equation?

Back

The constant term in a quadratic equation represents the initial value or the number of blocks in the first figure.

Tags

CCSS.HSF.LE.B.5

Front

How can you represent a quadratic sequence graphically?

Back

A quadratic sequence can be represented graphically as a parabola on a coordinate plane.

Tags

CCSS.HSF.BF.A.2

Front

What is the relationship between quadratic sequences and parabolas?

Back

Quadratic sequences correspond to the values of a quadratic function, which graphically forms a parabola.

Tags

CCSS.HSF-IF.C.7A