Change numbers between standard form and scientific notation
Define and apply scientific notation to place value with positive and negative exponents
Multiply and divide numbers in scientific notation
Write decimal as a fraction in simplest form and write fractions or mixed numbers as decimal numbers
Find the GCF and LCM of two or more numbers and monomials
Define, compare and use rational and irrational numbers (between any two rational numbers there is at least one irrational number)
Determine and explain rational, whether to overestimate or underestimate in problem solving
Use base, exponent and exponential form
Apply rules for exponents by multiplying and dividing with same base (Multiplication Property of Exponents)
Express a square or cubed number in standard, factored and exponential form
Know perfect squares up to 15 (*25) and perfect cubes up to 10
Apply divisibility rules
Recognize and apply concept of significant digits
Express composite numbers as products of prime numbers (e.g., factor tree, Fundamental Theorem of Arithmetic)
Numerical Operations
Define and use commutative and associative properties of addition, distributive, identity (additive and multiplicative), multiplicative inverse (reciprocal) zero product properties using algebraic notation
Use Order of Operations to simplify expressions
Use inverse relationships of addition-subtraction and multiplication-division
Use all operations with rational numbers
Convert fractions, decimals and percents
Use estimation in all operations and problem solving
Apply rational number operations
Define absolute value as distance from zero (absolute value of variables, e.g. lxl=9)
Using absolute value in adding and subtracting
Simple interest (Compound interest)
Geometry/Measurement and Data
Geometry
Identify and complete symmetrical figures on a grid using ordered pairs
Identify and compare two and three dimensional figures using spatial visualization and visual perception
Find the circumference and area of a circle using pi
Find the diameter and radius of a circle given the circumference or area
Find the area and perimeter of a polygon and find missing sides (find area of a triangle using only side lengths, Heron's Formula)
Find area and perimeter of irregular shapes and common shaded/unshaded regions
Measure and compute volume and surface area of prisms, cylinders and cones (spheres)
Utilize 4 quadrant coordinate geometry
Operations and Algebra
Patterns
Describe and create compound patterns (e.g., arithmetic and geometric, Fibonacci, Pascal's Triangle)
Use proper vocabulary when explaining patterns that repeat, grow or compress
Evaluate infinite sequences (converging and diverging)
Represent, analyze and predict relations between quantities, especially quantities changing over time
Algebra
Translate phrases into algebraic expressions and equations
Simplify expressions using order of operations including like terms
Solve multi-step equations and inequalities using rational numbers with parenthesis and distributive property
Substitute a number value for a variable
Statistics and Probability
Data Analysis
Collect, organize and interpret data to solve non-routine problems involving world situations (e.g., random sampling)
Compute measures of central tendency (mean, median, mode and range) with or without a calculator
Draw inferences and construct convincing arguments based on data analysis
Probability
Perform compound probability experiments of simulations, record results and make predictions
Discuss low or high probability and possibility of various events using real life situations
Express probability in fraction form using concrete and semi-concrete activities
Find permutations and combinations using factorial notation
Discrete Math
Utilize Venn Diagrams using multiple classifications (e.g., classifying quadrilaterals)