Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Curated OER
Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Curated OER
Finding Patterns and Graphing Functions
Young scholars investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Young scholars graph their results and...
Curated OER
Polynomial Functions
In this Algebra II learning exercise, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial...
Curated OER
Inverse Linear Functions
Students solve for the inverse functions. In this algebra lesson, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
Curated OER
Integrated Algebra Practice: Square Roots
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
Curated OER
Finding the Vertex of a Quadratic Function
Pupils solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
Curated OER
Quadratic Functions
In this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
Curated OER
Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
Curated OER
Sloping and Intersecting a Linear Function
Learners examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
Curated OER
Integrated Algebra Practice: Exponential Growth
In this exponential growth worksheet, students solve 4 short answer and multiple choice problems. Students determine the population of a city after a given amount of time.
Curated OER
Ingetrated Algebra Practice
In this integrated algebra instructional activity, students solve probability problems. They identify the appropriate sample space for the given experiment. This two-page instructional activity contains 4 multiple-choice...
Curated OER
Exponential and Logarithmic Functions
In this algebra worksheet, students identify the properties of logs. They solve exponential problems using properties of exponents. There are 6 questions.
Curated OER
Trigonometric Functions
For this trigonometric functions worksheet, 11th graders solve and complete 10 different problems. First, they perform the indicated operations and simplify each function. Then, students find the ratio of the area of the shaded region to...
Curated OER
Linear & Quadratic Functions
In this linear and quadratic equations learning exercise, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic...
Curated OER
Functions and Graphs -- Pattern Detection #2
Middle schoolers examine a graph made by archaeologists. In groups, they discuss the role of the size of the animals and how that affects the graph. They compare and contrast the size of animals killed by people 10,000 years ago and...
Curated OER
Periodic Functions
In this Pre-Calculus worksheet, students solve problems involving periodic functions. The three page worksheet contains twenty-three problems. Answers are not provided.
Curated OER
Worksheet #2.6: MT-A141 PreCalculus
In this graphing worksheet, students predict how a graph of given functions will work. Next, they check their work using a graphing calculator. Students use algebra to complete the graph of a square and determine transformations.
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
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...
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...