
Number Operations
Number Sense
 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 additionsubtraction and multiplicationdivision
 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 multistep 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 nonroutine 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 semiconcrete activities
 Find permutations and combinations using factorial notation
 Discrete Math
 Utilize Venn Diagrams using multiple classifications (e.g., classifying quadrilaterals)
 Overlapping and disjoint events