# NUMBER SENSE

- Fractions and Decimals on a Number Line
- Absolute values or Rational Numbers on a Number Line
- Distance between Two Numbers on a Number Line
- Rules of Exponents with Numerical Expressions.
- Number Properties, like Multiples and Factors
- Greatest Common Factor
- Least Common Multiple
- Distributive Property to Rewrite Numeric Expressions

# EXPONENTS, ROOTS of RATIONAL NUMBERS, FRACTIONS and DECIMALS

- Multiply, subtract and divide rational numbers
- solve practical real-world problems,
- one-step or multi-step arithmetic problems involving addition, subtraction, division and/or multiplication with rational numbers, including those involving scientific notation
- determine when a numerical expression is undefined
- compute and write numerical expressions with squares and square roots of positive, rational numbers

# RATIOS, PERCENTS and SCALE FACTORS

- compute unit rates
- solve two-step, arithmetic, real world problems involving percents
- solve multi-step, arithmetic, real-world problems using ratios or proportions including those that require converting units of measure
- use scale factors to determine the magnitude of size change
- convert between actual drawings and scale drawings

# DIMENSIONS, PERIMETER, CIRCUMFERENCE, and AREA

- compute area and perimeter of triangles and rectangles
- determine side lengths or triangles and rectangles when given area or perimeter
- use the Pythagorean Theorem to determine unknown side lengths in a right triangle
- compute perimeter and area of 2-D composite geometric figures, which could include circles
- compute the perimeter of a polygon
- compare the area of a polygon when given a geometric formula
- determine side lengths of polygons when given perimeter or area
- compute the area and circumference of circles
- determine radius or diameter when given an area or circumference

# DIMENSIONS, SURFACE AREA, and VOLUME

- compute volume and surface area or rectangular prisms when given geometric formulas
- solve for side lengths or height when given volume or surface area
- compute surface area and volume of composite 3-D geometric figures, given geometric formulas
- compute volume and surface area of spheres when given geometric formulas
- solve for radius or diameter when given the surface area
- compute volume and surface area of right pyramids and cones when given geometric formulas
- solve for side lengths, height, radius, or diameter when given volume or surface area
- compute volume and surface area of right prisms when given geometric formulas
- solve for side lengths or height when given volume or surface area
- solve for height, radius or diameter when given volume or surface area
- volume and surface area of cylinders when given geometric formulas?

# INTERPRET and CREATE DATA ANALYSIS

- Represent, display, and interpret categorical data in bar graphs
- represent, display, and interpret data involving two variables in tables and the coordinate plane including scatter plots and graphs
- represent, display, and interpret data involving tone variable plots on the real number line including dot plots, histograms and box plots

# MEAN, MEDIAN, MODE and WEIGHTED AVERAGE

- calculate the mean, median and range
- calculate a missing data value, given the average and all the missing data values but one
- calculate the average, given the frequency counts of all the data values, and calculating a weighted average

# COUNTING TECHNIQUES and PROBABILITIES

- use counting techniques to solve problems and determine combinations and permutations
- determine the probability of simple and compound events

# EXPRESSIONS and POLYNOMIALS

- add, subtract, factor, multiply and expand linear expressions with rational coefficients
- write rational expressions as part of word-to-symbol translations or represent common settings
- evaluate rational expressions by substituting integers for unknown quantities
- write polynomials expressions as part of word-to-symbol translations or represent common settings
- factor polynomial expressions
- add, subtract, multiply and divide rational expressions
- evaluate polynomial expressions by substituting integers for unknown quantities
- add subtract, multiply polynomials, including multiplying two binomials, or divide factorable polynomials
- write linear expressions as part of word-to-symbol translations or represent common settings
- write linear expressions by substituting integers for unknown quantities
- evaluate linear expressions by substituting integers for unknown quantities

# LINEAR EQUATIONS

- solve one-variable linear equations with rational number coefficients
- solve a system of two simultaneous linear equations by graphing, substitution, or linear combinations
- solve real-world problems leading to the system of linear equations
- write one-variable linear equations to represent context
- solve real-world problems involving linear equations

# LINEAR INEQUALITIES

- solve linear inequalities of one variable with rational number coefficients
- write linear inequalities in one variable to represent context
- solve real-world problems involving inequalities

# QUADRATIC EQUATIONS

- solve quadratic equations in one variable with rational coefficients and real solutions using appropriate methods
- write one-variable quadratic equations to represent a specific context

# GRAPHS AND FUNCTIONS

- locate given points on the coordinate plane
- graph two-variable linear equations
- interpret unit rate as the slope of a proportional relationship
- determine the slope of a line when given a graph, equation, or table
- interpret key features of graphs and tables in terms of quantities
- sketch graphs showing key features given a verbal description of relations
- sketch graphs showing key features of graphs and tables in terms of quantities

# COORDINATES, LINES, and EQUATIONS

- write the equation of a line with a given slope through a given point
- use the slope to identify parallel and perpendicular lines and to solve geometric problems
- write an equation of a line passing through two given distinct points

# FUNCTIONS

- compare two different proportional relationships represented in different ways
- compare properties of two linear and quadratic functions when they are represented in different ways
- evaluate linear and quadratic functions for values when they are represented with function notations
- represent or identify a function in a table of the graph as having exactly one output for each input