Mathematics Course Outline Career Pathway: ___________________ Academic Success Skill Big Ideas GED Performance Level Descriptors MWOTL Lesson Plan? GED High-Impact Indicator Complex Resources that Build Knowledge Fluency with mathematical operations Counting, operations (addition, subtraction, multiplication, division), order of operations, place value Level A Number, Level B Number, and Level C Number Q.1.d Identify absolute value of a rational number as its distance from 0 on the number line and determine the distance between two rational numbers on the number line, including using the absolute value of their difference. Fractions, Decimals, Percentages Add, subtract, multiply, and divide fractions and decimals; calculate percent gain and loss Order fractions and decimals, including on a number line Compute unit rates at a satisfactory level Use scale factors to determine the magnitude of a size change, and convert between actual drawings and scale drawings Solve arithmetic and real-world problems Level B and Level C Number Q.1.a Order fractions and decimals, including on a number line. Q.3.a Compute unit rates. Examples include but are not limited to: unit pricing, constant speed, persons per square mile, BTUs per cubic foot. Q.3.d Solve two-step, arithmetic, real world problems involving percents. Examples include but are not limited to: simple interest, tax, markups and markdowns, gratuities and commissions, percent increase and decrease.
conversion; basic shape measurement; area and perimeter measurement, basic shape measurement, the coordinate plane polygons when given area or perimeter Compute the area and perimeter of triangles and rectangles at a satisfactory level Determine side lengths of triangles and rectangles when given area or perimeter at a satisfactory level Compute the area and circumference of circles Determine the radius and diameter of circles when given area or circumference Compute the area and perimeter of polygons Determine side lengths of polygons when given area or perimeter B Geometry, Level C Geometry triangles and rectangles. Determine side lengths of triangles and rectangles when given area or perimeter. Q.4.b Compute the area and circumference of circles. Determine the radius or diameter when given area or circumference Q.4.c Compute the perimeter of a polygon. Given a geometric formula, compute the area of a polygon. Determine side lengths of the figure when given the perimeter or area. Q.4.d Compute perimeter and area of 2-D composite geometric figures, which could include circles, given geometric formulas as needed.
Compute the area and perimeter of composite figures Data analyses: Data representation, recognize data, charts and graphs, statistical data sets, probability Mean, median, mode; probability; distributions; patterns of association, chart and graphical analysis Determine the probability of simple and compound events at a strong level Represent, display, and interpret categorical data in dot plots, histograms, and box plots Calculate the median, mode, and weighted average, and calculate a missing data value, given the average and all the missing data values but one Use counting techniques to solve problems and determine combinations and permutations at a Level C Statistics and Probability, Level D Statistics and Probability
satisfactory level Three-dimensional figures Volume, surface area Compute volume and area of cylinders at a strong level Compute volume and surface area of rectangular prisms Determine side lengths and height of rectangular prisms when given volume or surface area Determine radius, diameter, and height of cylinders, when given volume or surface area, at a satisfactory level Compute volume and surface area of right pyramids and cones Determine side lengths, radius, diameter, and height of right pyramids and cones when given volume or surface area Level D Geometry, Level E Geometry Q.4.e Use the Pythagorean theorem to determine unknown side lengths in a right triangle. Q.5.a When given geometric formulas, compute volume and surface area of rectangular prisms. Solve for side lengths or height, when given volume or surface area. Q.5.b When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. Q.5.c When given geometric formulas, compute volume and surface area of right prisms. Solve for side lengths or height, when given volume or surface area. Q.5.d When given geometric formulas, compute volume and surface area of right pyramids and cones. Solve for side lengths, height, radius, or
Compute volume and surface area of spheres Determine radius and diameter of spheres when given volume or surface area Compute volume and surface area of composite figures at a satisfactory level Use the Pythagorean theorem to determine unknown side lengths in a right triangle diameter when given volume or surface area. Q.5.e When given geometric formulas, compute volume and surface area of spheres. Solve for radius or diameter when given the surface area. Q.5.f Compute surface area and volume of composite 3- D geometric figures, given geometric formulas as needed. Signed numbers, integers and operations, exponents Plotting numbers; exponential functions; squared and cubed numbers Simplify numerical expressions with rational exponents at a strong level Compute numerical expressions with squares and square roots of positive, rational numbers at a strong level Level E Algebra
linear or quadratic functions, each represented in different ways, at a satisfactory level Patterns and functions Recognize patterns; compare functions Compare two different linear or quadratic functions, each represented in different ways, at a strong level Determine the slope of a line from a graph, equation, or table at a strong level Graph linear equations at a strong level Write the equation of a line with a given slope through a given point at a strong level Level D Algebra, Level E Algebra A.7.a Compare two different proportional relationships represented in different ways. Examples include but are not limited to: compare a graph to a distance-time equation to determine which of two moving objects has a greater speed. A.7.b Represent or identify a function in a table or graph as having exactly one output (one element in the range) for each input (each element in the domain). A.7.c Evaluate linear and quadratic functions for values in their domain when represented using function notation. A.7.d Compare properties of two linear or quadratic functions each represented in a different way (algebraically,
Use slope to identify parallel and lines and to solve geometric problems at a strong level numerically in tables, graphically or by verbal descriptions). Examples include but are not limited to: given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. Polynomials Expressions with polynomials; factor polynomials Solve problems using rational numbers at a satisfactory level Write polynomial expressions to represent context Compute with polynomials at a strong level Factor and evaluate polynomial expressions Level E Algebra