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Standards/Math/Alaska/F-BF

F-BF

Alaska
Kindergarten
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Arithmetic with Polynomials and Rational Expressions
Creating Equations and Inequalities
Reasoning with Equations and Inequalities
Seeing Structure in Expressions
Functions
Building Functions
F-BF.1F-BF.2F-BF.3F-BF.4F-BF.5
Interpreting Functions
Linear, Quadratic, and Exponential Models
Trigonometric Functions
Geometry
Circles
Congruence
Geometric Measurement and Dimension
Expressing Geometric Properties with Equations
Modeling with Geometry
Similarity, Right Triangles, and Trigonometry
Number and Quantity
The Complex Number System
Quantities
The Real Number System
Vector and Matrix Quantities
Statistics and Probability
Conditional Probability and the Rules of Probability
Making Inferences and Justifying Conclusions
Interpreting Categorical and Quantitative Data
Using Probability to Make Decisions
AP Calculus Learning Objectives
AP Statistics Learning Objectives

Building Functions

F-BF.1Write a function that describes a relationship between two quantities.F-BF.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.F-BF.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.F-BF.4Find inverse functions.F-BF.5(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
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