EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Composite Functions
Students create a poster to explain composite functions. For this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
Curated OER
Comparing Investments
Money, money, money. A complete activity that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions.
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Curated OER
A.P. Exam Review
High schoolers engage in a lesson that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of the...
Curated OER
Chill Out: How Hot Objects Cool
Teach how to explore exponential equations. In this Algebra II lesson, students investigate the graph that occurs as a hot liquid cools. Students model the data algebraically.
Curated OER
Discovering Growth Patterns
Students explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this instructional activity to help them make predicitions and graph data points.
Curated OER
Properties of Logarithms
Learners explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Learners use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
EngageNY
Properties of Logarithms
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
Curated OER
Multiplying Exponents vs. Powers of Powers
Use the power of a power property to solve exponential functions. The instructional activity refers to differentiating between multiplying or adding exponents to find the value, and how to find the product of a power of a power.
Curated OER
Analyzinf Equations Through Slope and Y intercept
Students solve equations representing exponential functions. In this algebra lesson, students interpret their equations by analyzing the slope and y intercept. They find the slope using the slope formula.
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Curated OER
Charging Up, Charging Down
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
Curated OER
Exploration Sequence of Bounces
New skills are developed as high schoolers use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected...
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Curated OER
Industrialization, Chemicals and Human Health - Math
Learners review the units of the metric system, and practice estimating measures before actually converting between the two systems of measurement. They participate in activities to visualize a concentration of one part per million....
Curated OER
Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
Curated OER
Investigating the Method by Which the Body Defends Against Pathogens
Students explore disease caused by bacteria and viruses, how they are transmitted, and how they exert their effects on their hosts. They explain how diseases, such as AIDS, are spread by exponential growth.
Curated OER
Curve Fitting
Pupils investigate linear, quadratic, and exponential regressions. They plot sets of data points, determine the regression equation that best fits the data and lastly investigate the coefficient of determination.
Curated OER
Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.