EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Radford University
Snappy Stair Sprints
Let's go for a run. Small groups determine a way to collect data to determine the time it would take to run a set of stairs. After creating a plan, teams collect data and graph their results, calculating the equation of best fit and...
Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
Centre for Innovation in Mathematics Teaching
Ten Data Analysis Activities
This thirteen page data analysis worksheet contains a number of interesting problems regarding statistics. The activities cover the concepts of average measurements, standard deviation, box and whisker plots, quartiles, frequency...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
California Mathematics Project
Meteorology
See how estimation is essential to making temperature weather maps. Scholars use ratios and rates of change to estimate temperatures at locations where temperature readings have not been made. They connect this idea to linear functions.
Chemistry Collective
Chemical Potential: Staircase Demonstration
It's all uphill from here! Scholars examine the pattern of random particle motion up a staircase. The simulation shows how the linear increase in energy corresponds to an exponential decrease in particle concentration.
Radford University
I Want to Rock!
Find the best deal on music. Small groups create playlists of music and determine the cost based on different pricing structures. They determine whether the pricing structure represents a direct or inverse variation relationship by...
Curated OER
Graphs And Ellipses
Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
Curated OER
Graphing Review
Students review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept and if...
Curated OER
Introducing Linear Terminology
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept
of lines. They use linear equations to model real data and define to define the...
Curated OER
Systems of Equations
Students solve inequalities and systems of equations. For this algebra lesson, students use substitution and elimination as they solve algebraic systems. They use graphing and a table to support their solutions.
Curated OER
Know the System
Students identify the different systems of equations. In this algebra instructional activity, students solve systems of equations using graphing, elimination and substitution. They use the Ti to graph their systems.
Curated OER
I Can Do This! Systems of Equations
Students solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
Curated OER
Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
Curated OER
That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
Curated OER
Using Inequalities to Problem Solve
Young scholars explore inequalities. In this Algebra I instructional activity, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Young scholars use inequalities to solve and...
Curated OER
Race Track (Culminating Activity)
Young scholars graph and solve linear equations. In this algebra lesson, students use the slope and y-intercept to graph lines. They relate lines to the real world using different applications.
Curated OER
Graphing System of Equations
Students solve system of equation. In this algebra activity, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
Curated OER
Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
Curated OER
Algebra II: Chapter 7 Test - Systems of Equations
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations. They read word problems and write a system of equations that depicts the problem. this two-page...
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