# Mathematics Activity Book I: Learning & Teaching

Author(s): LETICIA ESCOBAR

### Ebook

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Mathematics Activity Book 1 provides Teachers and Students with an inquiry-based approach to learning. It promotes skill attainment and acquisition through exploration, discussion, and group work, which can lead to mathematics mastery.

The book includes a variety of activities that address the Common Core State Standards for mathematics (CCSSM) and well as the most current National Council of Teachers of Mathematics (NCTM) standards. These activities help future teachers implement effective mathematics teaching practices that would lead their students toward developing mathematics skills in today’s world.

Future teachers also need to learn what strategies activity or approach works best, along with what manipulatives are out there to accomplish the desire learning and how to properly use them. They need to distinguish when collaborative work activities are a better learning approach than independent activities. All of the activities in this book include objectives, strategies, and manipulatives needed as well as instructions on how to use them.

The goal of this book is to have a well verse collection of activities that will facilitate future teachers enrich their classroom with engaging activities that would help prepare their student as higher-level mathematics learners.

Chapter 1 An Introduction to Problem Solving
Problem Solving Blueprint
Problem Solving Strategies
Word Problem Set # 1
The Game of the 20 Beans
Fibonacci Rabbits
The Legend of the Tower of Brahma
The Legend of the Tower of Brahma Circle Models
Stacking Logs and Triangular Numbers
The Handshake Problem
Can you find the Pattern?
Can you write the rule?
Word Problem Set # 2

Chapter 2 Numeration Systems and Sets
Set Theory Symbols and Definitions
Classification of Items (Introduction to Venn Diagrams)
Understanding Unions and Intersections With Venn Diagram
Numeration System Comparison Venn Diagram
Base 10 Blocks Applications and Diagrams
Making Change (Introduction to Base 5)
Base 5 Blocks Cutouts
Understanding Base 5
Exploring Base 5 Operations
Exploring Different Bases
Numeration System Conversions
Mathematics Activity Book I: Learning and Teaching Escobar, Leticia

Chapter 3 Whole Numbers and Their Operations
Models for Basic Operations With Whole Numbers
Nontraditional Algorithm for Basic Operation With Whole Numbers
Finger Multiplication Facts
Least to Greatest Products

Chapter 4 Numbers Theory
Divisibility Rules and Applications
How Many Rectangular Arrangements Can You Make?
Eratosthenes’ Sieve for Prime Numbers
Is It Prime?
Divisor Patterns
GCD, LCM, and Prime Factorization

Chapter 5 Operations with Integers
Two-Colored Chip Model
Models and Algorithms for Addition and Subtraction of Integers
Models and Algorithms for Multiplication and Division of Integers
Please Excuse My Dear Aunt Sally (Order of Operations)

Chapter 6 Rational Numbers and Proportional Reasoning
Pattern Blocks Cutouts
Cuisenaire Rods Cutouts
Fraction Strips
What Type of Fraction Is It?
Creating Equivalent Fractions
Comparing Fractions
Denseness of Rational Numbers
Models and Algorithms for Addition and Subtraction of Fractions
Models and Algorithms for Multiplication and Division of Fractions
Mixed Numbers and Estimation of Fractions
Ratio, Fraction, or Both
Mathematics Activity Book I: Learning and Teaching Escobar, Leticia

Chapter 7 Decimals, Rational Numbers and Percent
Base 10 Blocks Cutouts
Name That Rationall
Repeating and Terminating Decimals, What’s the Difference?
Changing Decimals Into Fractions
Exploring Basic Operation With Decimals
Fractions, Decimals, Percentages, and Models
Reducing, Enlarging and Percentages
Solving Percent Problems
Chapter 8 Real Numbers
Properties of Real Numbers
Cheez-It™ and Square Roots

References

LETICIA ESCOBAR

Mathematics Activity Book 1 provides Teachers and Students with an inquiry-based approach to learning. It promotes skill attainment and acquisition through exploration, discussion, and group work, which can lead to mathematics mastery.

The book includes a variety of activities that address the Common Core State Standards for mathematics (CCSSM) and well as the most current National Council of Teachers of Mathematics (NCTM) standards. These activities help future teachers implement effective mathematics teaching practices that would lead their students toward developing mathematics skills in today’s world.

Future teachers also need to learn what strategies activity or approach works best, along with what manipulatives are out there to accomplish the desire learning and how to properly use them. They need to distinguish when collaborative work activities are a better learning approach than independent activities. All of the activities in this book include objectives, strategies, and manipulatives needed as well as instructions on how to use them.

The goal of this book is to have a well verse collection of activities that will facilitate future teachers enrich their classroom with engaging activities that would help prepare their student as higher-level mathematics learners.

Chapter 1 An Introduction to Problem Solving
Problem Solving Blueprint
Problem Solving Strategies
Word Problem Set # 1
The Game of the 20 Beans
Fibonacci Rabbits
The Legend of the Tower of Brahma
The Legend of the Tower of Brahma Circle Models
Stacking Logs and Triangular Numbers
The Handshake Problem
Can you find the Pattern?
Can you write the rule?
Word Problem Set # 2

Chapter 2 Numeration Systems and Sets
Set Theory Symbols and Definitions
Classification of Items (Introduction to Venn Diagrams)
Understanding Unions and Intersections With Venn Diagram
Numeration System Comparison Venn Diagram
Base 10 Blocks Applications and Diagrams
Making Change (Introduction to Base 5)
Base 5 Blocks Cutouts
Understanding Base 5
Exploring Base 5 Operations
Exploring Different Bases
Numeration System Conversions
Mathematics Activity Book I: Learning and Teaching Escobar, Leticia

Chapter 3 Whole Numbers and Their Operations
Models for Basic Operations With Whole Numbers
Nontraditional Algorithm for Basic Operation With Whole Numbers
Finger Multiplication Facts
Least to Greatest Products

Chapter 4 Numbers Theory
Divisibility Rules and Applications
How Many Rectangular Arrangements Can You Make?
Eratosthenes’ Sieve for Prime Numbers
Is It Prime?
Divisor Patterns
GCD, LCM, and Prime Factorization

Chapter 5 Operations with Integers
Two-Colored Chip Model
Models and Algorithms for Addition and Subtraction of Integers
Models and Algorithms for Multiplication and Division of Integers
Please Excuse My Dear Aunt Sally (Order of Operations)

Chapter 6 Rational Numbers and Proportional Reasoning
Pattern Blocks Cutouts
Cuisenaire Rods Cutouts
Fraction Strips
What Type of Fraction Is It?
Creating Equivalent Fractions
Comparing Fractions
Denseness of Rational Numbers
Models and Algorithms for Addition and Subtraction of Fractions
Models and Algorithms for Multiplication and Division of Fractions
Mixed Numbers and Estimation of Fractions
Ratio, Fraction, or Both
Mathematics Activity Book I: Learning and Teaching Escobar, Leticia

Chapter 7 Decimals, Rational Numbers and Percent
Base 10 Blocks Cutouts
Name That Rationall
Repeating and Terminating Decimals, What’s the Difference?
Changing Decimals Into Fractions
Exploring Basic Operation With Decimals
Fractions, Decimals, Percentages, and Models
Reducing, Enlarging and Percentages
Solving Percent Problems
Chapter 8 Real Numbers
Properties of Real Numbers
Cheez-It™ and Square Roots