College and Career Readiness Standards for Mathematics Level E (High School) 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Number and Quantity: The Real Number System E-N.Q:N.RN Extend the properties of exponents to rational exponents. Rewrite expressions involving radicals and rational exponents using the properties of exponents. (N.RN.2) 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Number and Quantity: Quantities E-N.Q Reason quantitatively and use units to solve problems.
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Algebra: Creating Equations E-A.CED Create equations that describe numbers or relationships. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.* (A.CED.1) [Also see 7.EE.4, 7.EE.4a, and 7.EE.4b] Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.* (A.CED.2) Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- viable options in a modeling context. For example, represent inequalities describing nutritional and cost
constraints on combinations of different foods.* (A.CED.3) 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.* (A.CED.4) [Also see 7.EE.2] 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Algebra: Reasoning with Equations and Inequalities
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). (A.REI.10) [Also see 8.F.5] 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Functions: Interpreting Functions E-F.IF Understand the concept of a function and use function notation. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f (x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). (F.IF.1) [Also see 8.F.1]
Standards Skills Included in Standard Concepts Included in Standard Through a Particular Context Cognitive Demand Blooms DOK Sample Activity Functions: Building Functions E-F.BF Build a function that models a relationship between two quantities. Write a function that describes a relationship between two quantities.* (F.BF.1) [Also see 8.F.4] 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand Blooms DOK 6 Sample Activity Functions: Linear, Quadratic, and Exponential Models E-F.LE Construct and compare linear, quadratic, and exponential models and solve problems. Distinguish between situations that can be modeled with linear functions and with exponential functions.* (F.LE.1)