Overview: Middle or high school students develop and exhibit their understanding of the relationship among the parts of the linear equation y = mx + b through multiple means–table, line graph, equation, computer model, and word problem.
Students will be able to:
identify slope and y-intercept in an equation, graph, and table of values generated by the equation y = mx + b.
construct STELLA® models of linear equations that produce graphs of increasing, decreasing, andhorizontal lines.
discover and define horizontal and parallel lines using STELLA®.
identify and define positive, negative, and zero slopes of lines on graphs.
create a booklet of linear equation problems.
distinguish between events, patterns, and structures of mathematical equations, given an understanding of the iceberg graphic. (per Extension 1 – accompanying document, “Extensions”)
Compare a given prediction with the results of an investigation.
Produce the rule (function) that explains the relationship (pattern) between the numbers when a change in the first variable affects the second variable (T-chart, two-row table, or input/output machine).
Demonstrate understanding of rate and unit rate.
Describe and use variables in a contextual situation.
Match an equation with a fitted line.
Write a rule to extend patterns.
Solve linear (first degree) equations using models/manipulatives, symbols, and or graphing in a one-step equation.
Recognize the relationship among tables, graphs, and verbal descriptions.
Integration with writing through the use of the 6-Traits of Writing model to assess the final project