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Drawing Gradients (A) WORKSHEET

Suitable for Grades: 8th Grade, Algebra I

CCSS: 8.F.B.4, HSF.LE.A.2

CCSS Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input‑output pairs (include reading these from a table).

Drawing Gradients (A) WORKSHEET DESCRIPTION

This worksheet focuses on drawing straight lines with positive and negative integer slopes on square grids. Start your students here before moving on to drawing slopes on axes or plotting straight lines using the slope and y intercept.

Ensure students use a pencil and ruler as they draw eight straight lines on separate square grids in section A. Gradients include +1, -5, +4, and more. In section B, learners will progress to drawing four straight lines with a given gradient on one coordinate grid.

If your students are already familiar with the equations of straight line graphs, they can complete section C too. Here, they will write down the equation of each line they have drawn in section B.