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Thinking about numbers without counting them: An Introduction to 4th Grade Math.

This lesson showcases the multiplication table.

This lesson showcases the multiplication table.

Watch and learn how we can use a number line to understand factors and multiples visually!

Factors and multiples are opposites. How? A factor is number that can be multiplied by another number to get a new number. A multiple (of the factor) is that new number!

Multiplication Properties are expanded as we learn to multiply 1-digit by 2-digit numbers.

Multiplication Properties are expanded as we learn to multiply 1-digit by 2-digit numbers.

This is the second of three videos on double-digit multiplication. Students will understand how to account several digits during the multiplication process.

This is the second of three videos on double-digit multiplication. Students will understand how to account several digits during the multiplication process.

Multiplication by two- and three-digit numbers.

In this video, we will learn how we can use our understanding of the multiplication table to multiply longer numbers for larger products. By the end of the video, students should be able to multiply any 2- and 3- digit numbers, and begin to observe patterns for dealing with several-digit numbers.

Multiply several digit numbers quickly by estimating products confidently and consistently.

We will learn the art of rounding, and how it can help us estimate products. Additionally, we will learn the principles of place-values (specifically "1s", "10s" and "100s" place values), and how to account for them when estimating products.

This video will introduce the concept of division, using the multiplication table as a means to understand the properties of division as its opposite.

This video will introduce the concept of division, using the multiplication table as a means to understand the properties of division as its opposite. Single-digit numbers are used to showcasethe notation and language of division problems.

In this lesson, we review long division and its associated terminology, both with and without a remainder.

In this lesson, we review long division and its associated terminology, both with and without a remainder.

In this video, students will learn how to divide numbers with greater than 2 digits, using the techniques of rounding and long division. This video is also an introduction to the technique of long division.

In this video, students will learn how to divide numbers with greater than 2 digits, using the techniques of rounding and long division. This video is also an introduction to the technique of long division.

In this video, the concept of a fraction is addressed, fundamentally and visually. Next, fractions are added with problems that adduce real-life examples.

In this video, the concept of a fraction is addressed, fundamentally and visually. Next, fractions are added with problems that adduce real-life examples.

In this lesson, we will learn to convert mixed numbers to fractions, and how this technique is necessary to add and subtract fractions. We will also practice visually comparing fractions.

In this lesson, we will learn to convert mixed numbers to fractions, and how this technique is necessary to add and subtract fractions. We will also practice visually comparing fractions.

In this video we review fraction addition, and also introducing fraction multiplication. In doing so, we will continue to investigate real-life scenarios, and make comparisons between fraction operations.

In this video we review fraction addition, and also introducing fraction multiplication. In doing so, we will continue to investigate real-life scenarios, and make comparisons between fraction operations.

In this lesson, we will practice fraction multiplication and addition as featured in word problems. Specific attention is paid to the difference between two operations, and techniques for determining which is necessary to solve a problem.

In this lesson, we will practice fraction multiplication and addition as featured in word problems. Specific attention is paid to the difference between two operations, and techniques for determining which is necessary to solve a problem.

In this lesson, we will focus on the relationship between fractions and decimals, specifically how to convert between one to another methodically.

In this lesson, we will focus on the relationship between fractions and decimals, specifically how to convert between one to another methodically.

In this lesson, we will dig deep into combining fractions and decimals as required by word problems. We will also understand how to find and interpret percents, as they are related to both decimals and fractions

In this lesson, we will dig deep into combining fractions and decimals as required by word problems. We will also understand how to find and interpret percents, as they are related to both decimals and fractions

In this video, we will explore the different coins in circulation and define their respective values. We will also gain practice both expressing the as decimals and fractions as well as adding them.

In this video, we will explore the different coins in circulation and define their respective values. We will also gain practice both expressing the as decimals and fractions as well as adding them.

This video will serve as an introduction to geometric figures of a variety of shapes, as well as introduce concepts of lines, angles, and perimeter.

This video will serve as an introduction to geometric figures of a variety of shapes, as well as introduce concepts of lines, angles, and perimeter.

In this lesson, we will begin to categorize different rectangles according to their line and angle properties. We will also practice finding their perimeters.

In this lesson, we will begin to categorize different rectangles according to their line and angle properties. We will also practice finding their perimeters.

In this lesson, rectangles and squares will be examined, as well as parallelograms and trapezoids. In addition to discussing the properties of each, we will practice finding perimeter and area of rectangles.

In this lesson, rectangles and squares will be examined, as well as parallelograms and trapezoids. In addition to discussing the properties of each, we will practice finding perimeter and area of rectangles.

In this lessons, we will be introduced to the irrational number pi, and will use it to define the perimeter (circumference) and area of circles. We will practice finding these measurements by employing these new formulas.

In this lessons, we will be introduced to the irrational number pi, and will use it to define the perimeter (circumference) and area of circles. We will practice finding these measurements by employing these new formulas.

In this video, we are working with triangles, specifically on how we can find their area using an altitude (height) and a base. We will also address the issue of units of perimeter versus area.

In this video, we are working with triangles, specifically on how we can find their area using an altitude (height) and a base. We will also address the issue of units of perimeter versus area.

In this video, we will work on finding the perimeters and areas of special polygons, requiring more sophisticated consideration of known formulas. We will continue to review the importance appropriate units, and we will use fundamental properties of rectangles to find missing sides and to calculate areas of new shapes.

In this video, we will work on finding the perimeters and areas of special polygons, requiring more sophisticated consideration of known formulas. We will continue to review the importance appropriate units, and we will use fundamental properties of rectangles to find missing sides and to calculate areas of new shapes.

In this lesson, we discuss the concept of an average, specifically as the statistical "mean" of the data set. We practice calculating the mean, by summing the terms and dividing by the number of terms. We also practice finding the missing number given an average.

In this lesson, we discuss the concept of an average, specifically as the statistical "mean" of the data set. We practice calculating the mean, by summing the terms and dividing by the number of terms. We also practice finding the missing number given an average.

In this lesson, we will continue our study of statistics, particularly to explore the idea of a median and mode. We will compare these statistical measures to the previously-studied mean (average), as well as with one another. We will brainstorm useful ways to distinguish these, and practice strategies for identifying them with sample data sets.

In this lesson, we will continue our study of statistics, particularly to explore the idea of a median and mode. We will compare these statistical measures to the previously-studied mean (average), as well as with one another. We will brainstorm useful ways to distinguish these, and practice strategies for identifying them with sample data sets.

In this lesson, we will delve into the complexities of time, by demysifying the analog clock, and addressing the different units of time and their relationship to one another. We will practice identifying the time depicted on a clock, and also practice converting between different units of time.

In this lesson, we will delve into the complexities of time, by demysifying the analog clock, and addressing the different units of time and their relationship to one another. We will practice identifying the time depicted on a clock, and also practice converting between different units of time.

In this lesson, we will introduce various common units of measure, including centimeters/meters/kilometers, and inches/feet/yards. We will use analogies to other area of inquiry, practice converting from one unit to another, in addition to developing larger principles of unit conversion.

In this lesson, we will introduce various common units of measure, including centimeters/meters/kilometers, and inches/feet/yards. We will use analogies to other area of inquiry, practice converting from one unit to another, in addition to developing larger principles of unit conversion.

In this lesson, we will discuss conventional weight measurements, and the differences of scale within the U.S. and metric systems. Units of measure within these two systems are also compared, and conversion between units is practiced.

In this lesson, we will discuss conventional weight measurements, and the differences of scale within the U.S. and metric systems. Units of measure within these two systems are also compared, and conversion between units is practiced.

Continuing our discussion of measurement and unit conversion, we will introduce the three major systems of temperature measurement (Fahrenheit, Celsius, and Kelvin). We will discuss them in specific and relative terms, and in doing so, become acquainted with the ranges commonly encountered in each notation system.

Continuing our discussion of measurement and unit conversion, we will introduce the three major systems of temperature measurement (Fahrenheit, Celsius, and Kelvin). We will discuss them in specific and relative terms, and in doing so, become acquainted with the ranges commonly encountered in each notation system.

In this lesson, we will reveal the usefulness of the multiplication "facts" we have learned. We will learn to interpret problems that ask for specific solutions to realistic problems, using techniques of unit conversion and multiplication.

In this lesson, we will reveal the usefulness of the multiplication "facts" we have learned. We will learn to interpret problems that ask for specific solutions to realistic problems, using techniques of unit conversion and multiplication.

In this lesson, we will achieve an ability to solve word problems that involve division. We will learn the importance of careful attention to particular questions, and how to adapt our mathematical operations to real-life scenarios.

In this lesson, we will achieve an ability to solve word problems that involve division. We will learn the importance of careful attention to particular questions, and how to adapt our mathematical operations to real-life scenarios.

**Course Description: 4th Grade Math**

The “4th Grade Math” video course covers all of the content students need to complete successfully 4th Grade level math. Furthermore, you will have an understanding of the applications of the basic operations featured herein. Not only will you understand what a fraction is, but you will also understand why we need them.

The course is not divided up into units, by comprises a natural progression of lessons, beginning with the basic operations (addition, subtraction, multiplication, and division), and then investigates the variety of appearances that these operations can take. That is, we investigate estimating products, dividing several digit numbers, adding, subtracting and multiplying fractions and mixed numbers.

The Common Core is the skeleton of this course. Such topics represented include classification of triangles, standard measurement in the metric system, and fractions. Additionally, this course features a discussion of temperature measurement systems, an explanation of time intervals and how to tell time, as well as well as why we need play close attention to representing units properly when performing certain operations.

The advantages of this course are thoroughness and close consideration of mathematical applications. Too often, elementary education features only examples with facile solutions. This is not true of 4th Grade Math; we make connection between operations, compare different ways of representing the same number, and generally bring a growth mindset to the learning process. It is especially important for a child to have a strong foundation in math, and that foundation starts here. Building that foundation involves practice. To that end, this course provides worksheets and reference material to accompany each lesson. Homework instructions are given within the video, and the student is encouraged to practice on his or her own after each lesson.

**This Course Includes:**

- 30 UNITS
- 60 VIDEO-LESSONS (INCLUDING LESSON REVIEW)
- 30 WORKSHEETS
- OVER 300 PROBLEMS
- 30 EXERCISE REVIEW VIDEOS (in which I explain step by step how to reach the correct answer)
- SEVERAL ADDITIONAL RESOURCES (INCLUDING GEOMETRY AND MATHEMATICAL REFERENCE MATERIAL)
- OVER 10+ HOURS OF VIDEO INSTRUCTION

**Course Goals:**

The goals of this course are to make students comfortable representing non-integers as decimals and fractions, and manipulating integers and non-integers with the four base algebraic operations. Students should also be able to measure space using diagrams, and solve equations using measurements of distance, weight, and time.

**Target Audience:**

This course is intended for students between the age of 8-10 (viz. those entering fourth grade). However, the material is appropriate for any elementary to early-middle school students, and general math enthusiasts.

**Course Requirements:**

There are no explicit requirements for this course; however, students will progress with greater ease with a basic understanding of numbers and counting (i.e. “7” can represent “a group of seven things”).

**This Course Includes The Following Lessons***

**each lesson includes homework and an accompanying video lesson in which the homework is reviewed*

1) Multiplication Facts (to 12)

2) Factors and Multiples

3) Multiplying 1-Digit Numbers by 2-Digit Numbers

4) Multiplying Numbers with Several Digits

5) Estimating Products

6) Introduction to Division

7) Long Division: Reviewed

8) Dividing Numbers with Several Digits

9) Introduction to Fractions & Fraction Addition

10) Multiplying Fractions

11) Converting Between Fractions and Mixed Numbers

12) Fraction Word Problems

13) Decimals and Fractions

14) Decimals and Fractions Word Problems

15) Money: Denominations and Equivalence

16) Shapes (classification and perimeter)

17) Triangles (classification and perimeter)

18) Quadrilaterals (classification and perimeter)

19) Circles (area and perimeter)

20) Area of Triangles

21) Finding the Missing Side & Area of a Special Quadrilaterals

22) Finding the Mean

23) Finding the Median

24) Finding the Mode

25) Time Intervals and Telling Time

26) Measuring Distance

27) Measuring Weight

28) Measuring Temperature

29) Multiplication Word Problems

30) Division Word Problems

- Teacher: Sarah
- Areas of expertise: Math, Spanish, English
- Education: B.A. Wellesley College M.A. Vanderbilt University
- Interests: Art, travel, poetry, running.
- Skills: Spanish speaker, experienced teacher, self-published writer.
- Associations: The Community School (Tamworth, NH)
- Issues I care about: Animal rights, education, financial literacy

I enjoy aiding students' foundational understanding of math and language concepts. I prefer to dig deep into why principles of mathematics, languages paradigms, etc. obtain, and desire to instill in my students a commitment to lifelong learning. I look to relate concepts to everyday life, and am committed to mixing the abstract with the tangible. I am a lover of poetry, animals and the fine arts!

This is designed to be a comprehensive test, so don’t worry if it takes a long time! If you’re having trouble, refer to the lesson and review. Have fun, good luck, and congratulations!