Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope 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...

Your young mathematicians will appreciate this wonderfully organized summary and explanation of linear slope. Approaching slope as it looks in a table of values, on a graph, in an equation, and between two points, this note sheet is...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...

The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...

Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...

Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...

Carryout the lesson plan to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping....

Given the least squares regression line, interpret the slope and intercept in the context of the relationship between texting and GPA. Although this task is short and looks simple, some subtle points can be brought to light in a...

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...

Finally! Math and Instagram have come together to discuss the correlation between likes and followers. High schoolers can't help but want to discover what makes one account more popular than another by developing a line of best fit and...

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,...

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

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,...

The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...

Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...

The data says it's a wrap. Pupils work through four review questions with multiple parts dealing with bivariate data. Questions cover creating and interpreting two-way tables and scatter plots with lines of best fit. Scholars finish up...

Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

Your learners get extra practice using coordinates in calculating mid points, finding end points, deciding if points are collinear, calculations using slope concepts, writing linear equations, using triangles and quadrilaterals, and...

Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...

Eighth graders discuss a situation with quantities that relate in a linear fashion. They discuss ways to determine the relationship. Students represent this relationship with mathematic symbols. Students discuss the meaning of...