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Six rounds include practice or review writing linear equations in slope-intercept form from a table of values. Includes vertical lines and function notation.
Separate students into groups of four and give each student their own copy of Round 1. Students should discuss the problem as they work on it and agree on the correct answer. Once each student in the group has the correct answer, ONE person from the group takes ONE Round 1 sheet to have it checked by the teacher.
If the answer is correct, the student then picks up four copies of Round 2 for the group. If the answer is not correct, the teacher sends the student back so the group can correct Round 1.
Groups continue working until each round is completed and checked by the teacher for accuracy.
This activity works well early in a lesson when students are actively learning a new skill. The discussion and collaboration in the small groups enhance the students’ learning.
The answer key for the teacher is included.
CCSS: Use functions to model relationships between quantities.
8.F.B.4 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.
CCSS: Construct and compare linear, quadratic, and exponential models and solve problems.
HSF.LE.A.2 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).
CCSS: Create equations that describe numbers or relationships.
HSA.CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
HSA.CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
CCSS: Build a function that models a relationship between two quantities.
HSF.BF.A.1 Write a function that describes a relationship between two quantities.
CCSS: Interpret functions that arise in applications in terms of the context.
HSF.IF.B.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
CCSS: Interpret linear models.
HSS.ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
TEKS: Linear Functions, equations, and inequalities
A1.2.C Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to: write linear equations in two variables given a table of values, a graph, and a verbal description.
A1.2.G Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to: write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined.
A1.3.A Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1).
VA SOL: Equations and Inequalities
EI.A.6.a The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line.
EI.A.6.b The student will write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line.
Print enough copies (one-sided) for each student to have his/her own. Cut pages on the dotted lines to separate rounds into separate stacks (all of Round 1 is in one stack, Round 2 is in a different stack, etc.).
After handing out Round 1, keep stacks of Round 2, Round 3, etc. and only allow students to take the next round in order when their group is ready for it.
Included in the package:
• Six relay rounds
• Answer Key for Teacher
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