Algebra 1 Common Core worksheets

Use units to guide the solution of multi-step problems.

Define appropriate quantities for a descriptive model.

Choose a level of accuracy suited to the measurement.

Use the structure of an expression to rewrite it.

Rewrite an expression to reveal properties: factor, complete the square, use exponent rules.

Add, subtract and multiply polynomials; know they are closed under these.

Create equations and inequalities in one variable and solve them.

Create equations in two variables and graph them.

Rearrange a formula to highlight a chosen quantity.

Explain each step in solving an equation.

Solve linear equations and inequalities in one variable.

Solve quadratic equations by factoring, completing the square and the formula.

Solve systems of linear equations exactly and approximately.

Partial Solves exactly, by substitution and elimination. Does not estimate the solution from a graph.

Understand that a graph is the set of solutions of its equation.

Graph the solutions of a linear inequality and of a system.

Understand a function as exactly one output per input.

Use function notation and evaluate functions.

Recognize that sequences are functions on the integers.

Interpret the key features of a graph in context.

Partial Says where a graph of a situation rises, falls and stays flat. Does not cover intercepts, symmetry or end behavior.

Relate the domain of a function to what it describes.

Calculate and interpret the average rate of change.

Partial Finds the constant rate from a table of a linear function. Does not average over part of a curve or estimate from a graph.

Write a function in an equivalent form to reveal its properties.

Write a function that describes a relationship between quantities.

Write arithmetic and geometric sequences recursively and explicitly.

Identify the effect of replacing f(x) with f(x)+k, kf(x), f(kx) and f(x+k).

Partial Shifts, stretches, shrinks and reflects the graph. Does not ask about f(kx), the horizontal stretch.

Distinguish situations modeled by linear from exponential functions.

Construct linear and exponential functions from a description or table.

Interpret the parameters of a linear or exponential model.

Partial Interprets the starting value. Does not interpret the rate, and the model is linear only.

Represent data with dot plots, histograms and box plots.

Partial Reads histograms and box plots that are already drawn. Does not ask a child to draw one, and uses no dot plot.

Compare the center and spread of two data sets.

Partial Compares the overlap of two data sets. Does not use measures of center and spread.

Summarize categorical data in a two-way frequency table.

Fit a function to scatter-plot data and analyze the residuals.

Partial Reads a line of best fit that is already drawn and predicts from it. Does not fit the line or look at residuals.

Interpret the slope and intercept of a linear model in context.

Distinguish between correlation and causation.