Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

In this slope of a line worksheet, learners read about line graphs and plotting the slope of a line. They read about the rate of change which is represented by the slope. Students practice finding the slope of lines.

In this Algebra I/Algebra II worksheet, students examine the slope of line as the rate of change between the dependent and independent variables.  The one page worksheet contains two multiple choice questions.  Answers are...

How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...

This instructional activity 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...

Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...

If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now,...

Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to...

Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...

Explore linear functions! For this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.

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...

The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...

Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...

Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...

Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then...

Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second...

In this rates and slopes worksheet, students solve 2 problems where they find the rate corresponding to the speed of the galaxies in a Hubble diagram for galaxies and they calculate the rate of the sunspot number change between indicated...