Standard 10 : Solve problems involving sequences and series.



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General Information

Number: MA.912.AR.10
Title: Solve problems involving sequences and series.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.AR.10.1: Given a mathematical or real-world context, write and solve problems involving arithmetic sequences.
MA.912.AR.10.2: Given a mathematical or real-world context, write and solve problems involving geometric sequences.
MA.912.AR.10.3: Recognize and apply the formula for the sum of a finite arithmetic series to solve mathematical and real-world problems.
MA.912.AR.10.4: Recognize and apply the formula for the sum of a finite or an infinite geometric series to solve mathematical and real-world problems.
MA.912.AR.10.5: Given a mathematical or real-world context, write a sequence using function notation, defined explicitly or recursively, to represent relationships between quantities from a written description.
MA.912.AR.10.6: Given a mathematical or real-world context, find the domain of a given sequence defined recursively or explicitly.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessments

Name Description
Giveaway:

Students are asked to write an explicit function rule given a verbal description of a functional relationship in a real-world context and are then asked to use the function rule to answer a question.

Saving for a Car:

Students are asked to write an explicit function rule given a verbal description of a functional relationship in a real-world context and are then asked to use the function rule to answer specific questions.

Lesson Plan

Name Description
Plants versus Pollutants Model Eliciting Activity:

The Plants versus Pollutants MEA provides students with an open-ended problem in which they must work as a team to design a procedure to select the best plants to clean up certain toxins. This MEA requires students to formulate a phytoremediation-based solution to a problem involving cleaning of a contaminated land site. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Text Resource

Name Description
Patterns and Structures:

This informational text resource is intended to support reading in the content area. Patterns are an integral part of any system. One of the main functions of mathematics is to find patterns and create functions that generalize these patterns. There are many situations where patterns emerge and can be described by mathematics. For example, Fibonacci sequences can describe natural phenomena, quantic equations can describe repeated cases of symmetry, and there are even patterns in the occurrence of prime numbers.

Tutorials

Name Description
Geometric sequence or progression:

We will learn how to write a geometric sequence.

Geometric series:

Geometric series

Finding the nth term in a recursively defined sequence:

Finding the 4th term in recursively defined sequence



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Tutorials

Title Description
Geometric sequence or progression:

We will learn how to write a geometric sequence.

Geometric series:

Geometric series

Finding the nth term in a recursively defined sequence:

Finding the 4th term in recursively defined sequence