Amplify Desmos Math - Algebra 1

Make predictions about patterns and sequences with constant differences or constant ratios.

Write recursive definitions of sequences that have a constant difference or a constant ratio.

Determine if sequences have a constant difference, constant ratio, or neither.

Describe features of sequences.

Write and interpret explicit definitions for arithmetic and geometric sequences.

Interpret the meaning of expressions in context.

Solve linear equations with one variable, including equations with no solution or infinitely many solutions, and interpret solutions in context.

Justify that each step in solving a linear equation creates an equivalent equation with the same solution.

Solve multi-variable equations for a given variable.

Create equations, graphs, and tables to represent linear relationships and interpret their solutions in context.

Describe connections between equations, tables, descriptions, and graphs of linear situations.

Determine solutions to an inequality algebraically and graphically.

Write inequalities in one and two variables to represent constraints.

Analyze two-variable linear inequalities in order to make sense of an issue in society.

Determine whether a relationship is a function.

Interpret statements in function notation.

Compare graphs using function notation and their key features.

Describe functions using their key features, including domain, range, and average rate of change.

Interpret, evaluate, graph, and write equations of piecewise-defined and absolute value functions.

Analyze and model situations using function tools, including situations that model sequences and inverses of functions.

Solve systems of linear equations using elimination, substitution, and graphing.

Write systems of linear equations to represent constraints or meet given criteria.

Interpret solutions to systems of equations in context.

Graph systems of linear inequalities and identify solutions.

Write systems of linear inequalities to represent constraints or meet given criteria.

Interpret solutions to systems of inequalities in context.

Compare and contrast linear and exponential functions.

Create equations, tables, and graphs of linear and exponential functions.

Describe exponential functions by their key features and statements written in function notation.

Interpret and write exponential functions to model situations involving percent increase or decrease.

Use exponential functions to solve problems in context.

Use properties of exponents to interpret expressions for exponential functions.

Fit a linear or exponential function to data.

Critique the fit of a model.

Justify whether a function is linear, quadratic, exponential, or none of these.

Identify and interpret key features of quadratic functions in graphs and tables.

Compare and contrast properties of quadratic functions.

Determine key features and graph quadratic functions from standard- and factored-form equations.

Write quadratic equations from a graph, description, or criteria.

Identify and interpret key features of quadratic functions from equations.

Create quadratic models to solve problems in context.

Describe the effect of transformations on key features of a parabola and its equation in vertex form.

Convert quadratic expressions between factored and standard form by multiplying and factoring.

Use factoring and the zero-product property to solve equations and determine the zeros of quadratic functions.

Explain how to use factoring and the zero-product property to solve quadratic equations and determine key features of parabolas.

Solve quadratic equations with no solutions, one solution, and two solutions using reasoning, graphs, and completing the square.

Complete the square in order to reveal the vertex of a quadratic function.

Compare and contrast different strategies for solving quadratic equations.

Derive the quadratic formula and use it to solve quadratic equations.

Interpret the solutions to quadratic equations in context.

Represent categorical data in two-way tables and relative frequency tables.

Represent data with dot plots, histograms, and box plots.

Describe the shape, center, and spread of data.

Compare and contrast data sets using measures of center and spread appropriate to the shape of the data set and interpret the differences in context.

Fit a line to data, assess the fit using residual plots, and use the linear model to make predictions.

Describe linear associations in data using the line of fit and correlation coefficient.