EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
CK-12 Foundation
The Real Numbers: Size of Infinite Sets
The learning opportunities with the resource on infinity are finite, but it's still good to use. Individuals investigate the size of the set of integers and the set of even integers. Conclusion: the two sets have the same size.
Curated OER
Sum of Infinite Geometric Series
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Curated OER
Symmetry Worksheet IV
Challenge your class to identify, label, and draw a wide range of symmetries with this worksheet. In addition, learners name symmetrical shapes and compare them to alphabet letters. This worksheet asks class members to work with lines of...
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
Curated OER
Exploring Infinite Sequences, Part II
In this algebra worksheet, students identify the nth term of the sequence. They find the missing term in the pattern and what theorem justifies their choice. There are 12 questions.
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
Curated OER
Continuity and Limits
In this continuity and limits worksheet, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson plan of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the...
Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions for the...
Curated OER
Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Curated OER
Finite Geometric Series
In this geometric series worksheet, students find the nth term in a sequence. They evaluate a given geometric sequence and determine the number of terms in a geometric series. This two-page worksheet contains 26 problems. Answers are...
Curated OER
Supply & Demand: Finite Resources, Infinite Needs
Students discuss conflict resolution strategies they use in real life. They listen to "Getting to Yes" about principled negotiation. They negotiate the distribution of goodies on a table according to rules and time constraints. They...
Curated OER
Jazz and Math: Improvisation Permutations
Students observe that there are myriad combinations of rhythms to choose from when improvising jazz and blues music, and recognize that while the variations seem infinite, they are in fact finite. They notate a 12 bar blues progression...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Curated OER
Review Questions for Midterm 2
For this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
No Edge, No Center -- Exploring the Shape of Our Universe
Students examine various "spaces" (including ones that are one-dimensional, two-dimensional, and three-dimensional). For each space, they will examine what it means to have or not have an edge, or to be finite or infinite.
Curated OER
Daphnia and Algae: A Study of Pond Dynamics
Students observe interrelationships and interdependencies of organisms which may generate stable ecosystems. They also study that living organisms have the capacity to produce infinite sized populations, but environments and resources...
Curated OER
Number Theory: Modulus Math
Practice the techniques associated with number theory. This 5-page worksheet has many different types of problems for the students to solve and is a great component for any number theory unit8.
Oregon Department of Education
Building and Expanding Patterns
The generation of a number, or shape pattern, is the focus of this math lesson plan. Pupils are presented with a variety of patterns shapes, and number patterns, then use worksheets embedded in the plan to gain further practice. The...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...