Curated OER
Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Education Development Center
Finding Parallelogram Vertices
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
EngageNY
Making Scale Drawings Using the Parallel Method
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
Corbett Maths
Coordinates and Shapes
Where is the point? Given three points on the coordinate plane, the video walks through the steps to find the location of the fourth point to create a given special quadrilateral. The narrator first determines the coordinates of the...
College Board
2006 AP® Calculus BC Free-Response Questions Form B
Go a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...
Curated OER
Equations of Lines
Young scholars 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. Young scholars determine...
Curated OER
Exploring Slope
Pupils explore the physical aspect of a slope. In this algebra lesson, students graph a slope and write an equation for a slope. They identify slopes of zero, negative lines and positive lines.
Curated OER
Linear Equations and Their Graphs
In this Algebra I/Algebra II worksheet, students solve problems involving interpreting the slope of a linear equation as a rate of change. The two page worksheet contains a combination of seven multiple choice and free response...
Curated OER
Special Segments in Triangles
In this special segments in triangles worksheet, 10th graders solve 6 various types of problems related to determining types of segments found in triangles. First, they find a segment if the line parallel is a median or an altitude....
Curated OER
Linear Equations
In this linear equations worksheet, students solve ten problems. The first five, they find the equation of the line that contains the given point and has the given slope. Then, for the last five, students find the equation containing...
Curated OER
Pairs of Lines Multiple Choice
In this algebra worksheet, students identify the slope and y intercept of lines. They compare the slope of perpendicular and parallel lines and find the missing slope. There are 6 questions with an answer key.
Curated OER
Robot Ramps
Students write the slope of a linear equation. In this algebra lesson, students follow a robot along a coordinate plane and create an equation to represent the ramp created. They identify the points the ramp passes through.
Curated OER
Graphing Linear Equations
In this linear equations worksheet, students graph 2 linear equations using x- and y- intercepts. Students then graph 2 additional equations using the slope and y-intercept method.
Curated OER
"Soil Hide and Seek"
Students comprehend the basics of soil testing. They relate the use of grids and plotting to soil samples. Students comprehend how contaminants flow through soil. They discuss factors such as: slope of the pan, time, and the amount of...
Curated OER
Volcano Activity
In this volcano worksheet, students measure the slope of a volcano and its baseline and summit degrees. They identify the type of volcano, the type of lava and the type of eruption.
Curated OER
Solving Systems by Graphing
In this solving systems by graphing learning exercise, 9th graders solve and complete 5 different problems. First, they change each equation to graphing form. Then, students graph each line and find their point of intersection. In...
Curated OER
Equations and Inequalities
In this equations and inequalities worksheet, 9th graders solve and complete 10 different multiple choice problems. First, they determine the equation of a line that has a given slope and contains a point. Then, students determine the...
Curated OER
Count the Differences
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data. They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
Curated OER
Perpendicular Lines in the Coordinate Plane
Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry lesson, students differentiate lines based on their slopes.
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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