Quantitative Problem Solving with Rational Numbers
- Order fractions – list and on a number line
- Order decimals – list and on a number line
- Least common multiples
- Greatest common factor
- Simplify exponents
- Absolute value
- Operations on whole numbers (Addition, subtraction, multiplication, division)
- Operations on fractions (Addition, subtraction, multiplication, division)
- Operations on decimals (Addition, subtraction, multiplication, division)
- Compute squares and cubes
- Compute square roots and cube roots
- Determine when an expression is undefined (denominator 0; i)
- Find unit rates (mph, $/lb)
- Use scale factors to convert dimensions
- Solve problems with ratios and proportions
- Calculate percentages
Quantitative Problem Solving in Measurement
- Calculate area and perimeter of triangles & rectangles
- Find side lengths of triangles & rectangles when given area or perimeter
- Area and circumference of circles
- Radius and diameter of circles when given area or circumference
- Area and perimeter of polygons
- Side lengths of polygons when given area or perimeter
- Area and perimeter of composite figures
- Pythagorean theorem to determine unknown side lengths in a right triangle
- Volume and surface area of rectangular prisms
- Side lengths and height of rectangular prisms when given volume or surface area
- Volume and surface area of cylinders
- Radius, diameter, and height of cylinders, when given volume or surface area
- Volume and surface area of right prisms
- Side lengths and height of right prisms when given volume or surface area
- Volume and surface area of right pyramids and cones
- Side length, radius, diameter, height of pyramids/cones given volume or surface area
- Volume and surface area of spheres
- Radius and diameter of spheres when given volume or surface area
- Volume and surface area of composite figures
- Bar graphs, circle graphs, line graphs, tables
- Dot plots, histograms, and box plots
- Median, mode, more, and range of a number set
- Probability (and/or)
- Combinations and permutations
Algebraic Problem Solving with Expressions and Equations
- Write linear expressions to represent context
- Simplify linear expressions (add, subtract, multiply/distribute, factor)
- Evaluate algebraic expressions
- Add/subtract polynomials
- Multiply polynomials (including binomials)
- Divide polynomials
- Factor polynomials
- Solve linear equations
- Evaluate polynomial expressions
- Factor polynomial expressions
- Evaluate rational expressions
- Simplify rational expressions (add, subtract, multiply, divide)
- Solve systems of equations
- Solve linear inequalities and graph answer on on number line
- Solve quadratic equations
Algebraic Problem Solving with Graphs and Functions
- Plot points on coordinate plane
- Graph a line on the coordinate plane
- Find the slope of a line from a graph
- Find the slope of a line from a equation
- Find the slope of a line from a table
- Find slope, point coordinates, and x/y intercepts from a graph
- Write the equation of a line with a given slope through a given point
- Write the equation of a line passing through two given distinct points
- Use slope to identify parallel and perpendicular lines
- Identify whether a table represents a function
- Identify whether a graph represents a function
- Evaluate linear functions
- Evaluate quadratic functions