Curated OER
Solving Linear Systems by Linear Combinations
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
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...
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,...
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Curated OER
What's Your Shoe Size? Linear Regression with MS Excel
Learners collect and analyze data. In this statistics instructional activity, pupils create a liner model of their data and analyze it using central tendencies. They find the linear regression using a spreadsheet.
Curated OER
Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
Curated OER
Graph Your Motion
Young scholars graph their linear equations. In this algebra instructional activity, students examine their lines and relate it to the slope or rate of change. They relate the steepness of the line to the slope being positive, negative...
Curated OER
Equations and Inequalities
In this equations and inequalities worksheet, students complete 4 multiple choice questions involving graphs of linear equations and intercepts.
Curated OER
Exploring Linear Equations
Eighth graders follow the teacher as they enter information into the graphing calculator. They investigate different graphs to explain the slope of a line, the y intercept, and parallel lines.
Curated OER
Linear Graphs and Equations 5.1
In these identifying coordinates on a grid, linear graphs, and equations worksheets, 6th graders draw the shapes and letter, complete a table and use it to draw a graph, calculate gradients of lines, determine equations of lines, solve...
Curated OER
Linear Equations
In this Algebra I/Algebra II instructional activity, students write the equation of a line given the coordinates of two points on the line. The one page instructional activity contains a combination of three multiple choice and...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
More Graphing With Intercepts
In this graphing worksheet, young scholars graph linear equations. They identify the x or y-intercept. Coordinate planes are available below each equation. Nine problems are provided on this two-page worksheet.
University of Utah
Functions
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then...
Illustrative Mathematics
Distance across the channel
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...
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
EngageNY
Piecewise Functions
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
Radford University
Got Slope?
Go around and around with slope. The class investigates tornadoes by watching videos, building a homemade tornado, and performing research on the Storm Prediction Center website. Groups gather data and create scatter plots for twisters...
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...