University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a line using...
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Angle Relationships
Students investigate geometric relationship using conjecture about linear pairs and vertical angles. In this geometry lesson, students apply their theorems and previous geometry knowledge to solve for and find angles of linear pairs....
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Modeling Linear Relationships
Students graph lines using the slope and y-intercept. In this algebra lesson, students create data using tables and equations. They use their data to make predictions and draw conclusion.
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Linear and Quadratic Model, Data Modeling
Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
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Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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Using Data Analysis to Review Linear Functions
Using either data provided or data that has been collected, young mathematicians graph linear functions to best fit their scatterplot. They also analyze their data and make predicitons based on the data. This instructional activity is...
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Graphing Linear Equations with Two Variables
Can your class solve linear equations in two variables? They will be able to after they engage in this instructional activity. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship...
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Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
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Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
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Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
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Writing Linear Equations in Different Forms
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...
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Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
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Linear Inequalities - Parallelogram Problem
Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...
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Functions and Graphing
Graphing functions in a real world application makes math come to life. Learners graph points on a coordinate plane and identify various points on a graph by working through a set of real world problems. This is a perfect review exercise.
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Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra instructional activity, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations...
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Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson plan.
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Lines, Lines, Everywhere
Students explore linear equation suing real life scenarios. In this algebra lesson plan, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
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Baseball Relationships - Using Scatter Plots
Students use graphing calculators to create scatter plots of given baseball data. They also determine percentages and ratios, slope, y-intercepts, etc. all using baseball data and statistics.
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Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
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Functions & Algebra
Young scholars examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
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Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
University of Utah
Functions
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then work...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target F
Functions model relationships between quantities. The Smarter Balanced sample items demonstrate the assessment strategies for eighth grade function modeling standards. Items range from constructing linear functions from a table and a...
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Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra lesson, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
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