Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Curated OER
Geometric Sequences and Series
Learners find common ratios of geometric sequences on a spreadsheet. Using this data, they create scatter plots of the sequences to determine how each curve is related to the value of the common ratio. They will consider whether series...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Curated OER
Worksheet 22
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Curated OER
Worksheet 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Curated OER
Arithmetic and Geometric Sequences
In this algebra worksheet, students perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Buying a House
There's no place like home. Future home owners investigate the cost of buying a house in the 33rd installment of a 35-part module. They come to realize that the calculations are simply a variation of previous formulas involving car loans...
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Curated OER
Spreading Doom
Students explore the pattern created by a sequence or series. In this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
Worksheet 12 - Spring 1996
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
Worksheet 10
In this math worksheet, they state the tests for convergence or divergence of a series. Then they show examples of series to which the tests could be applied.
Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a instructional activity that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Mathed Up!
Forming and Solving Equations
What does geometry have to do with geometry? The portion of a review series for a math assessment highlights how equation formation is assessed on the test. Pupils use geometric concepts such as perimeter and the sum of the measures of...
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
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