These two operations are considered inverse operations
What are addition and subtraction?
When multiplying fractions, you multiply the numerators and multiply the denominators
What is the procedure for multiplying fractions?
This symbol represents an unknown quantity in an equation like 3 + ___ = 5
What is a variable?
This transformation slides a figure to a new position without changing its shape or orientation
What is a translation?
This model uses rectangles to visualize multiplication problems.
What is the area model?
This multiplication context can be thought of as 'groups of' objects.
What is repeated addition?
This term describes a comparison between two quantities using division
What is a ratio?
The equal sign in an equation can be thought of as this object on a balance scale.
What is a fulcrum?
This transformation creates a mirror image of a figure across a line.
What is a reflection?
This visual model helps students understand positive and negative integers
What is a number line?
In division, this term refers to the number being divided
What is the dividend?
This special type of ratio involves a unit of measurement, like miles per hour.
What is a rate?
In a linear relationship, this value represents the constant rate of change.
What is the slope?
This term describes when shapes have the same size and shape
What is congruence?
This model shows how equations can be balanced, with equal quantities on each side.
What is a balance scale model?
This property applies to addition and multiplication but not to subtraction or division
What is the commutative property?
When a percent is greater than 100%, it represents this type of change from the original amount.
What is an increase (or growth)?
When solving inequalities, we must do this when multiplying or dividing by a negative number
What is flip (or reverse) the inequality sign?
This transformation turns a figure around a fixed point by a certain angle.
What is a rotation?
Polya's problem-solving strategy has this many parts
What is a four-step approach to tackling mathematical and real-world problems?
Repeated multiplication of the same number (e.g., 2^3 = 2 * 2 * 2)
What is exponentiation?
These two ways of comparing amounts represent different mathematical relationships.
What are additive and multiplicative comparisons?
This type of sequence multiplies by the same factor each time, creating exponential growth
What is a geometric sequence?
This complex transformation combines a reflection and a translation parallel to the line of reflection
What is a glide reflection?
These three tools can help model and make sense of real-life problems in algebra.
What are graphs, equations, and bar models?