# Mathematics Activity Book I: Learning & Teaching

**Author(s):**
LETICIA
ESCOBAR

**Edition:
**
1

**Copyright:
**
2020

**Pages:
**
180

### Ebook

**This product is currently not available.**

## $69.46

** 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)

Reading and Interpreting 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

Estimation: Traditional vs Front End

**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

Applications Using Radicals

References

** 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)

Reading and Interpreting 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

Estimation: Traditional vs Front End

**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

Applications Using Radicals

References