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In this lesson, we review key vocabulary (factors, products, etc.), arrays, and the properties of multiplication.

In this video, we will review the Lesson 1 Activity on Multiplication and its Properties.

This video provides an introduction to several of the resources provided in this lesson for use throughout the course.

In this lesson, we discuss finding multiples of a given factor as well as finding the Least Common Multiple (LCM) of two factors.

In this video, we will review the Lesson 2 Activity on multiples and least common multiples.

In this lesson, we combine the concepts learned in the first two lessons to determine if a number is prime or composite. We also explore square numbers.

In this video, we will review the Lesson 3 Worksheet and Riddle Activity on Prime and Composite Numbers.

In this video, we will review the Lesson 3 Prime and Composite Chart Activity.

In this lesson, we will discuss the place and value of digits in a number up to the billions place. This will be super important when we jump into multiplying multi-digit numbers in the next few lessons!

In this video, we will review Lesson 4 Activity 1 focusing on place value.

In this video, we will review Lesson 4 Activity 2 focusing on place value in real world contexts.

In this video, I demonstrate how to use the game Hopscotch to practice place value.

In this lesson, we differentiate between the standard and expanded forms of numbers. Expanded form will help us to better understand the multi-digit multiplication methods we will be exploring next!

In this video, we review the Lesson 5 Activity on Standard and Expanded Form.

In this lesson, we will explore multiplying with base-tens. Not only is this a helpful trick in general, but it will allow us to check our work with estimation as we move forward.

In this video, we will review the Lesson 6 Activity on multiplying with base-tens.

In this lesson, we will learn the Partial Products method of multiplying multi-digit numbers.

In this video we will review the Lesson 7 Activity for partial products.

In this lesson, we will continue working on the Partial Products method of multiplication. We will work on more complicated problems using this method to get more practice and increase proficiency.

In this video, we will review the Lesson 8 Activity for Partial Products, multiplying two and three digit numbers.

In this video, we use a tile activity to practice Partial Quotients.

In this lesson, we will learn to use the area model to multiply multi-digit numbers. We will discuss the similarities of the area model to the partial products method.

In this video, we will review the Lesson 9 Activity for the Area Model of multiplication.

In this lesson, we will learn the traditional method of multiplication. This is the most common method of multiplication, and one that most adults are most familiar with.

In this video, we will review the Lesson 10 Activity for the Traditional Method of Multiplication.

In this lesson, you will learn the last of our multiplication methods--lattice multiplication.

In this video, we will review the Lesson 11 Activity for lattice multiplication.

In this video, we will review Lesson 11: Activity 2. We will review all four methods for each problem so that you can see the problems solved with your choice of methods.

In this lesson, we will review several key multiplication contexts. We will practice multiplication word problems and discuss a procedure for approaching them.

In this video, we will review the Lesson 12 Activity focusing on multiplication word problems.

In this lesson, we will discuss key concepts in division as well as the properties of division.

In this video, we will review the Lesson 13 Activity on key division vocabulary and the principles of division.

In this lesson, we will explore the traditional procedure for long division (without remainders).

In this video, we will review the Lesson 14 Activity working on Long Division.

In this lesson, we will continue exploring long division. As we proceed, we will work on division scenarios that are not evenly divisible--scenarios that have remainders.

In this video, we will review the Lesson 15 Activity for long division with remainders.

In this lesson, we will explore a second method of division--partial quotients.

In this video, we will review the Lesson 16 Activity on Partial Quotients Division.

In this lesson, we will work through a procedure to break down both one step and multi-step word problems. We will highlight key words associated with each operation. Word problems will involve addition, subtraction, multiplication, and/or division.

In this video, we will review the Lesson 17 Activity on Mixed Operations Word Problems.

In this lesson, we will review the basics of fractions, including key vocabulary.

In this video, we will review the Lesson 18 Activity for the basics of fractions.

In this lesson, you will learn how to find equivalent fractions. We will also explore WHY we're able to use this procedure to find equivalent fractions.

In this video, we will review the Lesson 19 Activity on equivalent fractions.

In this activity, you will rely on your knowledge of fractions and finding equivalent fractions to compare pairs or sets of fractions.

In this video, we will review the Lesson 20 Activity on comparing fractions.

In this lesson, we will learn about both mixed numbers and improper fractions as well as how to convert from one to the other.

In this video, we will review the Lesson 21 Activity on mixed numbers and improper fractions.

In this lesson, we will use equivalent fractions to reduce fractions to simplest form.

In this video, we will review the Lesson 22 Activity on simplifying fractions.

In this lesson, we will add and subtract both fractions and mixed numbers with like denominators.

In this video, we will review the first activity on adding/subtracting fractions and mixed numbers with like denominators.

In this video, we will review the second activity for Lesson 23 focusing on adding/subtracting fractions and mixed numbers with like denominators.

In this lesson, we will address adding and subtracting fractions and mixed numbers that have different denominators. We will rely on our knowledge of equivalent fractions.

In this video, we will review Lesson 24 Activity 1 on adding/subtracting fractions and mixed numbers with unlike denominators.

In this video, we will review the Lesson 24 Activity 2 on adding/subtracting fractions and mixed numbers with unlike denominators.

In this lesson, we will learn the place value of decimal places to the thousandths as well as explore the relationship between fractions and decimals.

In this lesson, you will learn to compare decimals to decimals and decimals to fractions.

In this video, we will review the Lesson 26 Activity for comparing decimals to decimals and decimals to fractions.

In this lesson, we will learn about angles including how to classify and measure them.

In this video, we will review the Lesson 27 Everyday Angles activity.

In this lesson, we will explore the characteristics of polygons as well as the names of common polygons.

In this video, we will review the Lesson 28 activity on classifying polygons.

In this lesson, we sort and classify triangles and quadrangles based on their characteristics.

In this video we will review the Lesson 29 Activity on classifying triangles and quadrangles.

In this lesson, we will classify three dimensional shapes.

In this video, we will review the Lesson 30 Activity on classifying 3D shapes.

In this video, we will review the Lesson 30 Activity on classifying 3D shapes.

In this lesson, we will briefly explore various charts, including how to interpret data and find the mean, median, mode, and range.

In this video, we will review the Lesson 31 Activity on interpreting data.

Congratulations on finishing this 4th Grade Ivy Level Math Course. Here is a brief message to celebrate your efforts and send you on to your next adventure!

**Course Overview**

This “Ivy Level 4^{th} Grade Math” video course covers key content students need to successfully complete 4^{th} Grade Math. The course has an emphasis on critical thinking skills, real world connections, and exploring the “why” behind foundational concepts. It covers the requirements of the Common Core and also goes beyond common core requirements by preparing students for new topics that are dealt with during 5th grade.

This course includes:

• 5 UNITS

• 37 WORKSHEETS WITH COUNTERPART ANSWER SHEETS

• 14 EXTENDED PRACTICE ACTIVITIES WITH COUNTERPART ANSWER KEYS

• A VIDEO TUTORIAL ON USING KEY COURSE RESOURCES

• OVER 650 PRACTICE EXERCISES/PROBLEMS!

• 31 VIDEO-LESSONS

• 31 EXERCISE REVIEW VIDEOS (We review each problem step-by-step.)

• 31 ONLINE QUIZZES

• ANSWER KEYS FOR ALL ONLINE QUIZZES

• PRINTABLE VOCABULARY FLASHCARDS, LESSON SPECIFIC REFERENCES, AND KEY RESOURCES

• OVER 23 HOURS OF VIDEO-LESSONS!

**Course Goals**

Upon course completion, students will be able to

- determine place and value from the billions (and beyond) to the thousandths places
- multiply multi-digit numbers by multi-digit numbers proficiently
- divide multi-digit numbers by one digit numbers proficiently
- compare, order, simplify, and find equivalent fractions for fractions (both normal and improper) and mixed numbers
- compare and order decimals
- compare and order combinations of fractions and decimals and explain the relationship between the two
- classify and measure angles and explain an angle's relationship to a circle
- classify polygons and 3D figures based upon their characteristics and differentiate between types of quadrangles and triangles
- examine various types of charts and graphs and interpret their data, including finding the mean, median, mode, and range of a data set
- express the connection between foundational concepts (such as the properties of multiplication) and key mathematical processes (such as finding equivalent fractions)
- form real world connections between various math concepts and skills
- respond to short answer questions with complete, clearly explained responses, showing foundational knowledge and beyond-the-question insight.

**Target Audience**

This video-course is primarily intended for 4^{th} grade students with a strong command of basic facts. It is designed for students who can benefit from a quicker pace and heightened rigor in preparation for 5^{th} grade math and beyond. Educational scaffolds are built-in to the course to provide extra support if necessary.

**Course Requirements**

Students taking this course will need to have completed 3^{rd} Grade Math. Additionally, 4^{th} Grade Ivy Level Math (Part I)—or similar course—will be extremely beneficial, as it provides key mathematical concepts and competencies, which are built upon in this course.

**COURSE TOPICS**

Unit 1: Multiplication

Lesson 1: Multiplication & Its Properties

Lesson 2: Multiples and Least Common Multiples

Lesson 3: Prime & Composite Numbers

Lesson 4: Place Value

Lesson 5: Standard and Expanded Form

Lesson 6: Multiplication With Base-Tens

Lesson 7: Partial Products (Part I)

Lesson 8: Partial Products (Part II)

Lesson 9: Area Model

Lesson 10: Traditional Method

Lesson 11: Lattice Method

Lesson 12: Multiplication Word Problems

Unit 2: Division

Lesson 13: Properties of Division

Lesson 14: Long Division

Lesson 15: Long Division with Remainders

Lesson 16: Partial Quotients

Lesson 17: Mixed Word Problems

Unit 3: Fractions & Decimals

Lesson 18: Introduction to Fractions

Lesson 19: Equivalent Fractions

Lesson 20: Comparing Fractions

Lesson 21: Improper Fractions & Mixed Numbers

Lesson 22: Simplifying Fractions

Lesson 23: Adding/Subtracting Fractions and Mixed Numbers with Like Denominators

Lesson 24: Adding/Subtracting Fractions and Mixed Numbers with Unlike Denominators

Lesson 25: Decimals & Place Value

Lesson 26: Comparing Decimals (and Fractions!)

Unit 4: Geometry

Lesson 27: Classifying & Measuring Angles

Lesson 28: Polygons

Lesson 29: Classifying Triangles and Quadrangles

Lesson 30: Classifying 3D figures

Unit 5: Interpreting Data

Lesson 31: Interpreting Data—Mean, Median, Mode, & Range

- Teacher: Danielle
- Areas of expertise: Elementary Education, specializing in 4th grade Math and Science
- Education: Master of Arts in Teaching, Elementary Education from the College of New Jersey
- Interests: learning, teaching, all things science, math, competitive sports, cooking, photography, American football, Spanish language, reading, etc.
- Skills: written & spoken Spanish, competitive swimming, photography, culinary arts
- Associations: State licensed teacher (New Jersey, Texas)
- Issues I care about: Advocating for educational equity for all students, learning through real-life connections, culturally-responsive classrooms, high order questioning, education as empowerment

Hello, and welcome to my Lernsys profile! My name is Danielle, and Iâ€™m the instructor for the 4th Grade Ivy Level Math (Part II). Although this is my first online course, Iâ€™ve had the pleasure of teaching both 2nd and 4th grade in a physical classroom, with 4th grade being my preferred age level. Iâ€™ve taught all the core subjects, but I have a particular affinity for math and science, which I find quite exhilarating! My approach to teaching is empowerment-based; I believe education is truly about helping awaken a studentâ€™s self-confidence, interest in learning, and feelings of self-worth, and my instruction is aimed at facilitating these key areas of growth. Likewise, I work to make concrete connections between the everyday lives of my students and the material we cover together to promote using learned skills and concepts as capital with which to navigate oneâ€™s life. I am a firm believer that learning is not just done sitting in a classroom (or behind a computer screen for that matter), but rather by engaging in opportunities to learn daily in the world around us. By focusing on the impact key skills and competencies have on their lives, goals, and dreams, we can better prepare students for their amazing potential and all their future endeavors.

This document contains the correct responses for all of the lessons' online quizzes.

This is the Answer Key for the Lesson 1 Activity Multiplication and Its Properties.

This is the answer key for the Lesson 2 Activity on Multiples and Least Common Multiples.

This is the answer key for the Lesson 3 Prime & Composite Number Worksheet and Riddle Activity.

This is the answer key for the Lesson 3 Prime and Composite Chart Activity.

This is the answer key for the Lesson 4 Place Value Activity 1.

This is the answer key for Lesson 4 Activity 2 focusing on place value in real world contexts.

This is the answer key for the Lesson 5 Activity on Standard and Expanded Form.

This is the answer key for the Lesson 6 activity on multiplying with base-tens.

This is the answer key for the Lesson 7 activity focusing on partial products.

This is the answer key for the Lesson 8 Activity for Partial Products.

This is the answer key for the activity for Lesson 9 focusing on the area model of multiplication.

This is the answer key for the Lesson 9 extended practice activity for the are model of multiplication.

This is the answer key for the Lesson 10 Activity on the Traditional Method of multiplication.

This is the answer key for the Lesson 10 Extended Practice Activity for the Traditional Method of multiplication.

This is the answer key for the Lesson 11 Activity on Lattice Multiplication.

This is the Lesson 11 Activity 2 Answer Key for the "Choose Your Method" Multiplication Worksheet.

This is the answer key for the Lesson 12 Activity for multiplication word problems.

This is the answer key for the Lesson 13 Extended Practice Activity on multiplication word problems.

This is the answer key for the Lesson 13 activity on vocabulary, basic facts, and principles of division.

This is the answer key for the practice page of the Variables reference sheet.

This is the answer key for the Lesson 14 Activity on Long Division (without remainders).

This is the answer key for the Lesson 15 Activity focusing on long division with remainders.

This is the answer key for the Extended Practice activity for Long Division with Remainders.

This is the answer key for the Lesson 16 Activity on Partial Quotients.

This is the answer key for the Extended Practice activity for Partial Quotients.

This is the answer key for the Lesson 17 Activity on Multi-Step and Mixed-Operations Word Problems.

This is the Answer Key for the Extended Practice Activity for Mixed Operations Word Problems.

This is the answer key for the lesson 18 Activity on fractions.

This is the answer key for the lesson 19 activity on equivalent fractions.

This is the answer key for the extended practice activity for equivalent fractions.

This is the answer key for the Lesson 20 Activity on comparing fractions.

This is the answer key for the Lesson 20 Extended Practice Activity for Comparing Fractions.

This is the answer key for the Lesson 21 activity on mixed numbers and improper fractions.

This is the answer key for the extended practice activity on mixed numbers and improper fractions.

This is the answer key for the Lesson 22 Activity on simplifying fractions.

This is the answer key for the Lesson 22 Extended Practice activity focusing on simplifying fractions.

This is the answer key for the first activity for lesson 23 focusing on addition/subtraction of fractions and mixed numbers with like denominators.

This is the answer key for the second activity for lesson 23 focusing on addition/subtraction of fractions and mixed numbers with like denominators.

This is the answer key for Lesson 24 Activity 1 on adding/subtracting fractions and mixed numbers with unlike denominators.

This is the answer key for Lesson 24 Activity 2 on adding/subtracting fractions and mixed numbers with unlike denominators.

This is the answer key for the Lesson 25 Activity on decimal place value and the relationship between fractions and decimals.

This is the answer key for the Lesson 26 Activity on comparing decimals to decimals and decimals to fractions.

This is the Lesson 26 Extended Practice Activity for comparing decimals to decimals and decimals to fractions.

This is the answer key for the Lesson 27 Everyday Angles Activity.

This is the answer key for the Lesson 28 Activity on classifying polygons.

This is the answer key for the Lesson 28 Extended Practice Activity on classifying polygons.

This is the answer key for the Lesson 29 activity on classifying triangles and quadrangles.

This is the answer key for the Lesson 30 Activity on classifying 3D shapes.

This is the answer key for the Lesson 30 Extended Practice Activity.

This is the answer key for the Lesson 31 activity on interpreting data.

This is the answer key for the extended practice activity for Lesson 31: Interpreting Data.

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