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High School Mathematics Problems from Alaska: Extensions of Data: Barrow, Alaska Sunrise/Sunset Information
Learners using given data to extrapolate new information, using a linear equation to predict later behavior, and using previous knowledge to synthesize new conjectures.
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Parabolas
For this parabolas worksheet, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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Count the Differences
Students determine the degree of polynomials. In this determining the degree of polynomials lesson, students find the difference between consecutive y-values. Students find the degree of a linear, quadratic, and cubic...
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Linear Functions
Students solve, identify and define linear equations. For this algebra lesson, students calculate the slope and y-intercept of a line. They graph the line given two points and the slope.
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Students explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Epidemic or False Alert?
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...
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Junkyard Wars: Mechanical Monsters
Students examine slope and build a Lego car that can take a steep slope. In this mechanics lesson students build a car and demonstrate them in class and describe what they did.
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Graphing and the Coordinate Plane
Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...
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Graphing Linear Functions - Review
Students graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon...
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Linear Functions
In this linear functions learning exercise, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
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Properties of a Quadrilateral
In this geometry activity, 10th graders use coordinate geometry to examine the lengths, slopes, and midpoints of the diagonals of the different quadrilaterals in order to arrive at conclusions regarding the properties of the diagonals....
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Writing Linear Equations
Learners rewrite word problems using algebraic symbols. In this algebra lesson, students write linear equations using the slope and y intercept. They write equations given two points that are on the line.
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Water in the Texas Coastal Basins
Students, after researching a Texas coastal basin, map and graph the information they collect and then translate it into a short report to be presented to their classmates. They brainstorm unique ways to maintain Texas estuaries as well...
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Shaping the Land
In this shaping the land activity, students will match 7 vocabulary words relating to the movement of sediments to its definition. Students will read 10 statements about how water and glaciers impact sediment movement and answer true or...
Alabama Learning Exchange
Graphing Stations
Young scholars explore the concept of graphing stations. In this graphing stations lesson, students head to various teacher set-up stations involving slope, point-slope, standard form, parallel lines, etc. Young scholars work...
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Secant Line Approximation of the Tangent Line
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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Let's Go Slopey
Students create a table of values to graph a line. In this algebra lesson, students identify the slope and intercept of a linear equation. They use a Ticalculator to graph their function.
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The Ocean Floor - Science
Students draw a quick plan of an ocean floor as seen from the side; including the edge of a continent, a continental shelf, a continental slope, a basin, a trench, and a range. They require their definitions to do this.
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Are We Sure They Are Parallel?
Fourth graders explore the definition and properties of parallel lines. This high level lesson has students calculate the slope of the two parallel lines, and draw the lines on a Caretsian coordinate system.
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Activity #3 Finding Mass
Students use graph paper to construct a graph and determine the slope of a straight line. They determine the weight (mass) of paper clips with a pan balance. Pupils weigh an unknown number of paper clips, and to interpret the graph to...
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Graphing Linear Equations Using Data Tables
Students review the Cartesian plane and the process of plotting points. In groups, students create tables, identify the slope and y-intercept, and graph the equation. Afterward, students perform the same process, only, individually. As a...
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Linear Equations Data Tables
Students graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...
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Coffee: Differential Equation
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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