Standard Essential Skills and Clarification/Teacher Notes Knowledge A.CED.1 Create equations Ability to connect Students need to be able to create and solve the type of and inequalities in one experience from Algebra exponential equations in one variable that require the use of variable and use them to I with creating linear, logarithms in the solving process. solve problems. Include exponential and Exponential equations can include rational or real exponents. equations arising from linear quadratic equations in Integer exponents were explored in Algebra 1. and quadratic functions, and one variable to include In this course simple rational functions refers to rational simple rational and creating simple rational expressions whose numerators are of degree at most one exponential functions. functions and whose denominators are of degree at most 2. (supporting) (cross-cutting) Ability to distinguish Students would need to be able to create and solve simple between linear, rational equations. quadratic, exponential, Tasks should include real-world contexts. root and simple rational relationships given the verbal, numeric and/or graphic representations Sum of Finite Geometric Progression A.SSE.4 Derive the formula for Knowledge of the difference the sum of a finite geometric between an infinite and a The sum in geometric progression (also called geometric series) is given by series (when the common ratio finite series Equation (1) is not 1), and use the formula to Ability to apply the formula for solve problems. For example, Multiply both sides of Equation (1) by will have the sum of a finite geometric calculate mortgage payments. ★ series : Equation (2) (major) Note: Consider extending this Subtract Equation (2) from Equation (1) standard to infinite geometric series in curricular implementations of this course description.
Standard Essential Skills and Knowledge Clarification/Teacher Notes A.CED.1 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. (supporting) (cross-cutting) Ability to connect experience from Algebra I with creating linear, exponential and quadratic equations in one variable to include creating simple rational functions Ability to distinguish between linear, quadratic, exponential, root and simple rational relationships given the verbal, numeric and/or graphic representations Students need to be able to create and solve the type of exponential equations in one variable that require the use of logarithms in the solving process. Exponential equations can include rational or real exponents. Integer exponents were explored in Algebra 1. In this course simple rational functions refers to rational expressions whose numerators are of degree at most one and whose denominators are of degree at most 2. Students would need to be able to create and solve simple rational equations. Tasks should include real-world contexts. A.SSE.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments. ★ (major) Note: Consider extending this standard to infinite geometric series in curricular implementations of this course description. Knowledge of the difference between an infinite and a finite series Ability to apply the formula for the sum of a finite geometric series : Sum of Finite Geometric Progression The sum in geometric progression (also called geometric series) is given by Equation (1) Multiply both sides of Equation (1) by will have Equation (2) Subtract Equation (2) from Equation (1)
A2_UP_U3_Modeling_w_Functions.docx