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Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Curated OER
Linear Programming
For this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Saxon
Plotting Functions
Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...
Teach Engineering
Can You Resist This?
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear...
Curated OER
Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Curated OER
Linear Equations
In this Algebra I instructional activity, 9th graders write the equation of a line given a point and the slope and write the equation given a graph. The two page instructional activity contains fourteen problems. Answers are not...
Curated OER
Linear Inequalities
In this linear inequalities activity, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page activity contains 32 problems. Answers are provided at the end of the...
Raytheon
Equations and Graphing Review
In this equations and graphing review instructional activity, learners write, graph and solve equations for 62 problems, including a mid-unit review, with answers included.
Curated OER
Writing Linear Equations
In this math worksheet, students write the equations in slope intercept form for the equations that are graphed. They also create equations using slope and intercepts.
Curated OER
Linear Equations
In this Algebra II worksheet, 11th graders write the equation of a line given a table, the slope and a point, or two points. The three page worksheet contains eleven problems. Answers are not provided.
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....
Curated OER
Interval Notation and Linear Inequalities
In this interval notation and linear inequalities worksheet, students use number lines and solve equations. Students complete 64 problems total.
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Math Drills
Thanksgiving Cartesian Art: Pumpkin
Not a Halloween jack-o-lantern, but a Thanksgiving pumpkin! Young mathematicians graph and connect points on a coordinate system to unveil the mystery picture.
Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
Solving a System of Linear and Quadratic Equations
In this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
Curated OER
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
For this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Curated OER
Equations and Inequalities
In this equations and inequalities worksheet, students complete 4 multiple choice questions involving graphs of linear equations and intercepts.
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...