Worksheet
Curated OER

Simplifying Rational Expressions

For Students 10th - 11th
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
Lesson Plan
1
1
Curated OER

Exponential Growth Versus Linear Growth I

For Teachers 9th - 12th Standards
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Worksheet
Curated OER

Dividing Polynomials

For Students 11th - Higher Ed
In this Algebra II/college level instructional activity, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function.  The two page...
Worksheet
Curated OER

Evaluating Variable Expressions

For Students 7th - 9th
In this variable expressions worksheet, students evaluate expressions for given terms. Each of the ten expressions contain three variables. Students substitute a given value for the variable and solve the equation.
Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus learning exercise, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...
Worksheet
Curated OER

Systems of Equations

For Students 10th - 12th
For this Algebra 2 worksheet, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
1
1
West Contra Costa Unified School District

Factoring Quadratic Expressions

For Teachers 8th - 10th Standards
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
Lesson Plan
West Contra Costa Unified School District

Talking About Distance, Rate and Time

For Teachers 7th - 10th
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
Interactive
Curated OER

Logarithmic Differentiation

For Students 12th
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive worksheet contains eleven problems.  Answers are...
Lesson Plan
Curated OER

Other Equations of Lines

For Teachers 8th - 9th
In this algebra worksheet, students find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
Lesson Plan
Curated OER

Discovering Ohm's Law

For Teachers 11th - 12th
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
Lesson Plan
Curated OER

Investigation - Looking For Triangles

For Teachers 7th
Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...
Lesson Plan
Curated OER

A Cylinder Workshop

For Teachers 7th - 10th
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
Lesson Plan
Curated OER

Graphing Functions With 2 Points and From a Graph

For Teachers 9th - 11th
Students plot points on a coordinate plane. They describe, in words, methods for finding the slope of a line. After given a worksheet, students read instructions, draw a Cartesian plane, plot ordered pairs, and graph lines. Papers are...
Activity
2
2
Teach Engineering

Using Hooke's Law to Understand Materials

For Teachers 10th - 12th Standards
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...
Worksheet
Curated OER

Synthetic Division

For Students 10th - 11th
In this algebra worksheet, learners use synthetic division to divide polynomials and use the Remainder Theorem to evaluate the functions at the given value.  The one page worksheet contains eleven problems.  Answers are...
Worksheet
Curated OER

Laws of Exponents, Radicals

For Students 11th
In this Algebra II activity, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions.  The ten page activity contains fifty-seven...
Worksheet
Curated OER

Descarte's Rule of Signs

For Students 11th - 12th
In this algebra worksheet, students identify the number of positive and negative zeros for each given function. There are 21 function problems to be solved.
Worksheet
Curated OER

Graphing Radicals

For Students 11th - 12th
In this algebra worksheet, students find the domain and range of radical functions. They are given an equation and asked to graph the function. There are 14 questions on this worksheet, with an answer key.
Lesson Plan
Curated OER

Solving Logarithmic Equations

For Teachers 9th - 12th Standards
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
Lesson Plan
Curated OER

Get Your Numbers in Shape - TI-83

For Teachers 9th - 12th Standards
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...