Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Curated OER
Am I Straight
Identify the slope of a linear equation in this algebra lesson. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.
Curated OER
Off to College
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
Curated OER
Write an Equation of a Line Given Slope and a Point
Ninth graders are investigating slope of a line. The line is plotted using the slope and points on a line. They also write an equation given the right information. The use of a PowerPoint is part of the presentation.
Virginia Department of Education
Slippery Slope
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.
Curated OER
Quadratic Functions
In this algebra instructional activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
Curated OER
Systems of Equations
In this algebra worksheet, learners solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
Curated OER
Linear Inequalities in Two Variables
Use this activity as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Curated OER
Linear Equations
Pre-algebra pupils examine the rate of change and how we can interpret it as a linear function. They are introduced to slope-intercept equations and graphs. Plenty of instruction is provided along with example problems. Note that even...
Curated OER
Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...
Curated OER
Solving Systems of Inequalities
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Curated OER
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The lesson is...
Curated OER
Scientists Track the Rising Tide
In this tracking the rising tide worksheet, students use the data in a graph showing the seal level change versus time from 1900 to 2000 to answer 3 questions about the rising tides. Students determine the slope of a line drawn from 1920...
Curated OER
Calculus Practice BC
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Curated OER
AP Calculus Practice Exam
For this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
Curated OER
Lines of Fit
Learners analyze graphs. For this algebra lesson, students find the line of best fit, using scatter plots. They calculate the sale of popcorn as it relates to the price. They then analyze the graphs for positive, negative and no...
Curated OER
Lines in the Plane
Students differentiate between parallel and perpendicular lines. In this algebra lesson plan, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Curated OER
Forms of Equations
Ninth graders discuss the different forms of equations. In this algebra lesson, 9th graders talk about the pros and cons of algebraic equations. They discuss reflection across the x and y axis and write out the equation of the given...
Curated OER
Solve a System of Inequalities
In this system of linear inequalities worksheet, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Equations of Lines
Students define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Students determine special...
Curated OER
An Exploration of the Slope of a Line
Learners define the slope of a line. For this algebra lesson, students differentiate between parallel and perpendicular lines using their slopes. They rewrite equations in slope intercept form and explain the meaning of the slope.