Focuses on the use of addition and subtraction for comparisons.
Additive reasoning
The plus sign (+) is used to indicate
Addition
Compares a part of a whole to the total number of parts
Part-to-whole ratio
A mathematical sentence that uses an equals sign to show that two expressions are the same as one another.
Equation
A process or description of steps you can follow to complete a mathematical calculation.
Algorithm
Focuses on the use of multiplication and division.
Multiplicative reasoning
The operation where you take one number away from another number, essentially finding the "difference" between two numbers
Subtraction
Ratio compares parts
Part-to-part ratio
A mathematical phrase that contains numbers and operations.
Numeric expression
One of a pair of numbers whose product is 1.
Reciprocal
V = B + 30
Additive
A mathematical operation which involves the sharing of an amount into equal-sized groups
Division
A part-to-whole ratio where the whole is 100.
Percent
States that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.
Distributive Property of Multiplication over Addition
A fraction that has a fraction in either the numerator, the denominator, or both the numerator and the denominator.
Complex Fraction
V = 4B
Multiplicative
A mathematical operation that indicates how many times a number is added to itself
Multiplication
Compare ratios without measuring or counting quantities
Qualitative reasoning
The largest factor two or more numbers have in common.
Greatest Common Factor (GCF)
a number you can write in the for a/b, where a and b are both whole numbers greater than zero
Positive Rational Number
A comparison of two quantities that uses division.
Ratio
A number that indicates how many times a base number is multiplied by itself
Exponent
Compare ratios by measuring or counting quantities.
Quantitative reasoning
The smallest multiple (other than zero) that two or more numbers have in common.
Least Common Multiple (LCM)
A power is the factor multiplied by itself repeatedly
Base