Curated OER
Using Slope Angles
In this geometry learning exercise, 10th graders use right triangle trigonometry to solve problems involving angle of elevation or depression. The one page learning exercise contains eleven problems. Answers are not provided.
Curated OER
Worksheet 17: Writing Equations
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
College Board
2004 AP® Calculus AB Free-Response Questions Form B
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
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...
Curated OER
Secant and Tangent Lines
Twelfth graders recognize the use of the slope of the secant line and connect it with the graph of the secant line, as the secant line approaches the tangent line. They also recognize the two forms of the slope formula used and practice...
Curated OER
Tracing Highs and Lows in San Francisco
On a topographic map, students identify the scale bar, north arrow, and contour interval. They then locate a hill on the map and make note of the contour lines. Students then locate other places with similar contour line patterns....
Curated OER
Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging instructional activity on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Curated OER
Orienteering - Lesson 4 - Distance and Height
Pretend that you've been dropped onto a mountain, in the middle of nowhere, and all you have to find your way is a topographical map and a compass. Could you find your way to the nearest town? Orienteering teaches the skills of map...
Curated OER
Worksheet 3 - Velocity, Movement
In this velocity worksheet, students determine the distance traveled when an object is moving in a straight line. Students graph functions and determine the slope of the line. This two-page worksheet contains six multi-step problems.
Curated OER
The Tic Tac Equation
Students use an equation to solve a problem of applied mathematics. The problem involves using the dating practices of teenagers to create a context. They use an equation to find the solution of how many kisses can be obtained with the...
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...
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.
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Speed of a Forest Stream
Students study stream speed. In this stream speed lesson students complete an activity and formulate an opinion and study its effects.
Curated OER
Equivalent Algebraic Equations
Ninth graders explore linear equations. In this Algebra I lesson, 9th graders investigate how different equivalent equations can be used to describe any given line. Students explore how to change equations to equivalents...
Curated OER
Quadrilateral Explorations
In this geometry worksheet, 9th graders classify quadrilaterals by using coordinate geometry and the properties of various quadrilaterals. The seven page worksheet contains eleven questions. Answers are...
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
Curated OER
More On Graphing Linear Equations
In this linear equation worksheet, students graph linear equations and identify the x or y-intercept. There are nine graphing equations on this two-page worksheet.
Curated OER
Pyramids
In this pyramids worksheet, 10th graders solve and complete 4 different types of problems. First, they count the number of blocks shown in the pyramid. Then, students count the blocks along the lines of symmetry only. They also calculate...
Curated OER
Two-Point Formula Worksheet
In this linear equation worksheet, students determine the equation of a line when given two points. This two-page worksheet contains 6 problems. Answers are provided on the last page.
Curated OER
The Triangle Midsegment Theorem
For this geometry worksheet, 10th graders identify the vocabulary associated with the Triangle Midsegment Theorem and solve problems in which they find the size of a missing angle or segment. The one page worksheet contains...
Curated OER
Lines in the Coordinate Plane
Students graph lines in a coordinate plane. In this geometry lesson, students graph lines on a coordinate plane, and identify the slope. They classify the lines as parallel or perpendicular and write an equation of a given line.
Curated OER
Lines
In this Algebra I/Algebra II worksheet, students determine the slope of a line, write the equation of a line, examine parallel and perpendicular lines, and solve problems involving linear relationships. The two page worksheet...
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