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Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
Reductions of Order
For this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Lane Community College
Review Sheets: College Algebra
A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each...
Curated OER
Difference of Equations
In this difference of equations instructional activity, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method...
Curated OER
Function Machines
In this math worksheet, learners use function machines to complete an x/y T chart. Students convert between Celsius and Fahrenheit temperatures using a function machine.
Curated OER
Linear Equations
In this algebra worksheet, student linear equations through addition, subtraction, multiplication and division. They check their work algebraically. There are 26 problems.
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Curated OER
Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
Curated OER
Numerical Analysis: Systems of Linear Equations
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.
EngageNY
The Slope of a Non-Vertical Line
This instructional activity introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 6
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Curated OER
Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Curated OER
Worksheet 1
In this math worksheet, students describe the difference between a partial and an ordinary differential equation. They give examples of 1st, 2nd, and 3rd order differential equations. Students apply this information to predator/prey...
Curated OER
Numerical Analysis: Dimensional Vectors
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Curated OER
Worksheet 4
In this math worksheet, students write down five exact differential equations in symmetric form. Then they test the statements concerning differential equations.
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...