Curriculum Standards
3126.1.1: Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Biconditional Statements
Conditional Statements
Estimating Population Size
3126.1.2: Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
3126.1.4: Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies.
Using Algebraic Equations
Using Algebraic Expressions
3126.1.5: Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Estimating Population Size
Unit Conversions
3126.1.6: Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
3126.2.1: Understand the capabilities and the limitations of calculators and computers in solving problems.
3126.2.2: Represent, interpret or compare expressions for real numbers, including expressions utilizing exponents and logarithms.
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
3126.2.4: Develop facility with simplification of complex algebraic expressions involving exponential notation, logarithmic notation, rational notation, and radicals.
Dividing Exponential Expressions
Multiplying Exponential Expressions
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Simplifying Radical Expressions
3126.2.5: Be able to calculate vector arithmetic and vector length.
3126.3.1: Develop an understanding of functions as elements that can be operated upon to get new functions: addition, subtraction, multiplication, division, and composition of functions.
Addition and Subtraction of Functions
3126.3.3: Analyze the graph of a function, given either a sketch or a symbolic description.
Exponential Functions
Introduction to Exponential Functions
Points, Lines, and Equations
Radical Functions
Translating and Scaling Functions
3126.3.4: Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational functions from tables, graphs, and equations.
Compound Interest
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Logarithmic Functions
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Vertex Form
Rational Functions
3126.3.5: Apply appropriate techniques to analyze mathematical models and functions constructed from verbal information; interpret the solution obtained in written form using appropriate units of measurement.
Function Machines 3 (Functions and Problem Solving)
Linear Functions
3126.3.8: Understand the properties of conic sections (whether displayed in equation or graphical form) and apply conic sections to model real-world phenomena.
Addition and Subtraction of Functions
Circles
Ellipses
Hyperbolas
3126.3.10: Derive and use the formulas for the general term and summation of finite or infinite arithmetic and geometric series, if they exist.
Arithmetic Sequences
Geometric Sequences
3126.4.1: Understand basic right triangle trigonometry and use it to solve problems.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
3126.4.4: Apply trigonometric identities to rewrite expressions and solve equations.
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
3126.4.7: Interpret transformations of trigonometric functions.
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
3126.4.8: Understand the geometric interpretation of vectors and their use in real life analysis of problems.
3126.4.9: Develop an understanding of the graphic representation of vectors and vector arithmetic.
3126.5.1: Create scatter plots, analyze patterns and describe relationships that exist in a set of linear and non-linear paired data to model real-world phenomena and make predictions.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
3136.1.1: Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Biconditional Statements
Conditional Statements
Estimating Population Size
3136.1.2: Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
3136.1.4: Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to communicate solution strategies.
Using Algebraic Equations
Using Algebraic Expressions
3136.1.5: Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Estimating Population Size
Unit Conversions
3136.1.6: Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
3136.2.1: Understand histograms, parallel box plots, and scatterplots, and use them to compare display data.
Box-and-Whisker Plots
Correlation
Histograms
Real-Time Histogram
Trends in Scatter Plots
3136.2.2: Summarize distributions of univariate data.
Box-and-Whisker Plots
Describing Data Using Statistics
Populations and Samples
Real-Time Histogram
3136.2.4: Explore categorical data.
3136.3.1: Understand the differences among various kinds of studies and which types of inferences can be legitimately drawn from each.
Correlation
Describing Data Using Statistics
Polling: City
Polling: Neighborhood
3136.3.2: Select a method to collect data and plan and conduct surveys and experiments.
3136.3.3: Analyze results and make conclusions from observational studies, experiments, and surveys.
Correlation
Describing Data Using Statistics
Polling: City
Polling: Neighborhood
Real-Time Histogram
3136.4.1: Understand and apply basic concepts of probability.
Probability Simulations
Theoretical and Experimental Probability
3136.4.2: Design appropriate probability models.
Probability Simulations
Theoretical and Experimental Probability
3136.4.3: Understand the normal distribution.
Polling: City
Populations and Samples
3136.4.4: Describe the sampling distribution of a statistic and define the standard error of a statistic.
Polling: City
Polling: Neighborhood
Populations and Samples
3136.5.1: Develop and evaluate inferences and predictions that are based on data.
Box-and-Whisker Plots
Polling: City
Real-Time Histogram
3136.5.2: Understand and use confidence intervals.
Correlation last revised: 5/24/2018