Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
West Contra Costa Unified School District
Connecting Arithmetic Sequences to Linear Equations
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...
Howard Hughes Medical Institute
Calculating Iridium Fallout from an Asteroid Impact
Should we be afraid of a large asteroid impact on Earth today? Young scientists estimate the size and composition of an asteroid similar to the one that caused the K-T mass extinction. They apply algebraic formulas to answer questions...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Curated OER
Worksheet 4 - Geometric Mean
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
Curated OER
MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Curated OER
Working With Equations
High schoolers create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
Curated OER
Discovery Research of Quadratics
Students investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
Curated OER
Worksheet Five - Limits
In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
Curated OER
Uncorking Work Problems
Explore the concept of work with your class, using bottles, water, and corks to calculate work, while using the formula work = rate x time. Students conduct multiple experiments, timing how long it takes for water to drain out of the...
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Curated OER
Investigation-How Many Toothpicks?
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Curated OER
Applications of Polynomial Equations
In this algebra worksheet, students solve polynomial equations for the given variable. Seven problems require students to solve a given equation. The last three problems are word problems, each gives the required equation. Students...
Curated OER
Rational Equations
In this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
Illustrative Mathematics
Log Ride
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...
Curated OER
Slope of a Line
In this slope of a line worksheet, students solve 10 different problems that include determining the slope of a line that passes through the given points. First, they use the slope formula by placing each of the points in the correct...
Curated OER
Find the Missing Coordinates
In this algebra learning exercise, 10th graders analyze a graph and find the missing coordinate pair using the midpoint formula. There are 3 questions with an answer sheet.
Curated OER
Complex Roots Made Visible
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
Curated OER
Integrated Algebra University of New york Regents High School Examination
For this high school examination worksheet, students solve thirty-nine integrated math problems in preparation for the New york Regents exam. the problems are comprehensive and vary in difficulty.
Curated OER
High School Examination: Algebra 2/Trigonometry
In this high school worksheet, students solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems.