Charleston School District
Solving Systems by Inspection
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....
CK-12 Foundation
Infinite Limit Type: Properties of Limits
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
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
Infinite Series: Converge or Diverge
In this infinite series worksheet, students determine if a series converges or diverges. Also, they estimate the value of the series. This two-page worksheet contains approximately 45 problems. This is a hand-written worksheet.
Curated OER
Worksheet 27 - Functions
In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Curated OER
Infinite Series
In this math instructional activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Curated OER
Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The TI-nspire handheld...
Texas Instruments
Serious Series
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
Curated OER
Complex Analysis: More Applications of Residues
In this applications of residues worksheet, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page worksheet contains explanations and examples, as well...
Curated OER
The Integral Test
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.
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
Infinity
Students determine the sum of an infinite geometric series. In this determining the sum of an infinite geometric series lesson, students discuss how the sum of an infinite geometric series is a paradox. Students use the sum of an...
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
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
Introduction to Infinite Series
In this algebra worksheet, students find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
Curated OER
Introduction to Infinite Series
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
Curated OER
Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
Curated OER
Infinite Series: Convergent or Divergent
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
Curated OER
Infinite Geometric Series
In this geometric series worksheet, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page worksheet contains 28...
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
Repeating Decimal as Approximation
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
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