solve problems with fractions, decimals, and percents

compare and order numbers

demonstrate an understanding of percents, including those less than 1 and greater than 100

use ratios and proportions

understand and meaningfully interpret large and small numbers in scientific notation

use specific characteristics of numbers, such as multiples, factors, and primes

use and represent integers as the basis for the comparison of qualities

understand the meaning and application of fractions, decimals and integers

know the associative and communicative properties of addition and multiplication

know the distributive property of multiplication over addition

understand and apply the inverse relationships of addition and subtraction, multiplication, and division

calculate square roots, squaring numbers, and using inverse relationship between the two

central tendency

evaluate and interpret conclusions based on data

organize and represent possible outcomes for events and express theoretical probabilities

represent probabilities as ratios, proportions, and percents

recognize the difference between independent and dependent events

display data, including one- and two-variable sets

understand and compute quartiles

understand the relationship of units within the same system

convert from one unit to another in the same system

solve problems involving rates and other compound units

relate the effects of changing the choice of a linear unit on the related square and cubic units for area and volume

understand and calculate length, area and volume of 2- and 3-dimensional objects

understand and apply the Pythagorean theorem

understand and apply the concept of congruence in relation to sides and angles of 2-dimensional figures

perimeter of a polygon

circumference of a circle

area of triangles and parallelograms

volume of rectangular prisms