numbers A.SSE.3 Choose and produce Ability to connect experience an equivalent form of an with properties of exponents from Unit 4 of Algebra I to expression to reveal and more complex expressions explain properties of the quantity represented by the expression. ★ c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. (supporting) A.SSE.4 Derive the formula for Sum of Finite Geometric Progression Knowledge of the the sum of a finite geometric The sum in geometric progression (also called geometric series) is difference between an series (when the common ratio given by infinite and a finite series is not 1), and use the formula to Equation (1) Ability to apply the formula solve problems. For example, Multiply both sides of Equation (1) by will have for the sum of a finite calculate mortgage payments. ★ Equation (2) geometric series : (major) Subtract Equation (2) from Equation (1) Note: Consider extending this standard to infinite geometric series in curricular implementations of this course description.
numbers A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. ★ c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. (supporting) Ability to connect experience with properties of exponents from Unit 4 of Algebra I to more complex expressions 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_U1_Polynomial_Rational_and_Radical_Relationships_Dec_27.docx