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 learning exercise, 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...
Curated OER
Finding the Vertex of a Quadratic Function
Students 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 activity, 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
Young scholars 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...
Curated OER
Sloping and Intersecting a Linear Function
High schoolers 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, high schoolers 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 worksheet, learners solve probability problems. They identify the appropriate sample space for the given experiment. This two-page worksheet contains 4 multiple-choice problems. Answers are...
Curated OER
Exponential and Logarithmic Functions
In this algebra activity, students identify the properties of logs. They solve exponential problems using properties of exponents. There are 6 questions.
Curated OER
Trigonometric Functions
In 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 worksheet, 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 equations. Then,...
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...
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...
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...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Balanced Assessment
Local and Global Behavior
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...