Chapter 17: Developing Algebraic Thinking

Chapter 17: Developing Algebraic Thinking

Fill in the Blank

What is a theory and practice of arithmetic operations that uses symbols, especially letters, to represent unknown variables in equations?

Multiple Choice

According to House (2001), in order to think algebraically, children must be able to do the following:

• Understand patterns, relations, and functions

• Represent and analyze mathematical situations and structures using algebraic symbols

• Use mathematical models to represent and understand quantitative relationships

• Analyze change in various contexts

• All of the above

Multiple Choice

What does the study of integers provide children with?

• The opportunity to learn to reason algebraically

• Use geometry

• Analyze change

• The opportunity to extend the whole-number system

Multiple Select

True/False: Integers provide a way for us to express numbers as positive and negative.

• True

• False

Multiple Choice

Which of the following is a great tool for teachers to use when teaching integers?

• Bar graphs

• Base-ten blocks

• Number Line

• Counters

Fill in the Blank

Negative numbers can also be introduced as ________of counting numbers.

Multiple Select

What is a real-world example of negative numbers? (check all that apply)

• Profit and loss

• Above and below sea level

• Coupons

• Winning and losing points

Multiple Choice

Fill in the blank: _________ can be defined as the study of patterns.

• Repetition

• Geometry

• Algebra

• Integers

Multiple Choice

True/False: Children's first experience with patterns should focus on growing patterns.

• True

• False

Fill in the Blank

All of the following are examples of what kind of pattern? Hundreds chart, hand clapping activities, rhythmic beat of music, pattern-shape cards.

Multiple Choice

Which are patterns that grow or change?

• Repeated Patterns

• Growing Patterns

• Changing Patterns

• Developing Patterns

Multiple Choice

True/False: Variables are letters that represent quantities that may or may not vary, or change.

• True

• False

Fill in the Blank

What is the variable in this equation? 4+ x=6

Fill in the Blank

A _______ is a rule of correspondence connecting the elements of one set with elements of another set such that each member of the domain corresponds to a unique member of the range.

Multiple Choice

True/False: The development of algebraic thinking in the mathematics curriculum begins in the early grades and occurs as a gradual building from informal to formal concepts.

• False

• True