Curated OER
Write the Equation of a Line Given Two Points
Ninth graders write the equation of a line using two points. They are given a set of coordinate pairs and asked to write the equations of line using the slope and a point. Next, they use the formula y2-y1 divided by x2-21 to find the slope.
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
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
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
Tracing Highs and Lows in San Francisco
On a topographic map, young scholars 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
Graphing Linear Equations and Inequalities
Pupils discuss methods to solve equations and inequalities with one variable. As a review, they write Addition and Subtraction properties of equality and Multiplication and Division properties of equality. Students graph points, write...
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
For 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
Standard Linear Form
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Curated OER
Linear Equations
In this Algebra I worksheet, students determine the graph of the equation of a line. Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
Curated OER
Using Linear Models
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function. The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. ...
Curated OER
More Graphing With Intercepts
In this graphing worksheet, students 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.
Curated OER
Speed of a Forest Stream
Learners 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, pupils graph linear equations and identify the x or y-intercept. There are nine graphing equations on this two-page worksheet.
Curated OER
Pyramids
For 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...
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.
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