Raising Mathematicians - Grade 4

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Get the four operations nailed down and develop a solid understanding of fractions and you're all set... pretty much. Grade 4 introduces some challenging skills, like using a protractor, along with more work on measurement, including conversions. A bit of graphing and work with shapes rounds it all off. Get ready for Grade 4!

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Table of Contents


Place Value

Grade 4 - Place Value - Addition and Subtraction of Decimals
In this video, we cover adding and subtracting decimals, highlighting the importance of aligning decimal points for accuracy. We demonstrate using the standard algorithm as the most efficient method, particularly in real-world contexts like handling money
Grade 4 - Place Value - Values and Forms for Numbers
We explore the concept of place value, focusing on its importance as students work with larger numbers in grade four. We discuss how students should confidently write numbers in numerical, word, and expanded forms, highlighting the significance of understanding each digit’s place value.
Grade 4 - Place Value - Comparing and Rounding
In this video, we delve into comparing and rounding numbers, both of which are rooted in understanding place value. We demonstrate how students should compare numbers by starting with the largest place value and moving to the smallest, ensuring accurate comparisons.

Multiplication

Grade 4 - Multiplication - Japanese Style
A unique and visually engaging multiplication strategy often referred to as the “Japanese style” of multiplication. This method breaks down the numbers by place value and uses intersecting lines to represent the multiplication process.
Grade 4 - Multiplication - Multiply in Any Order
“Multiply In Any Order,” involves breaking numbers into smaller, more manageable factors. This method leverages the commutative property of multiplication, allowing students to rearrange and multiply factors in any order to simplify the problem.
Grade 4 - Multiplication - Over Multiply
In this video, we’ll explore a multiplication strategy called “over-multiplying,” where you multiply by a slightly larger number to simplify the process and then adjust by subtracting the extra amount.
Grade 4 - Multiplication - Area Model
In this video, we explore the area model for multiplication, demonstrating how to break down numbers by their place value for easier calculations. The method is visual and helps students work with simpler, more manageable numbers.
Grade 4 - Multiplication - Vocabulary Terms
In this video, we focus on defining key multiplication terms that are essential for grade four students. We clarify the concepts of factors, multiples, prime numbers, and composite numbers, illustrating each with examples.
Grade 4 - Multiplication - Doubling and Halving
This method simplifies complex multiplication by halving one factor and doubling the other, making the numbers easier to work with.
Grade 4 - Multiplication - Partial Products
In this video, we explore the partial products method for multiplication, which allows students to break down and multiply each part of a factor by each part of the other factor.
Grade 4 - Multiplication - Visualization of Prime and Composite Numbers
In this video, we explore the concepts of prime and composite numbers, emphasizing their importance in grade four math curricula. A prime number has only two factors—1 and itself—while a composite number has more than two factors.
Grade 4 - Multiplication - Ratio Table
In this video, we explore the ratio table, a versatile strategy for simplifying multiplication by breaking down numbers into manageable parts.
Grade 4 - Multiplication - Standard Algorithm
In this video, we revisit the traditional multiplication algorithm—a strategy many of us are familiar with from our own school days.

Division

Grade 4 - Division - Decomposition
In this video, we explore the decomposition strategy for division, a method that simplifies division by breaking the dividend into more manageable numbers.
Grade 4 - Division - Divide Dividend and Divisor by the Same Number
In this video, we explore a strategy to simplify division problems by dividing both the dividend and divisor by the same number. This technique helps create a more manageable problem while maintaining the same ratio between the numbers.
Grade 4 - Division - Double Dividing
In this video, we explore the double dividing strategy, which simplifies division by breaking the divisor into smaller, more manageable factors. This method allows students to tackle the division in steps, making the overall problem easier to solve.
Grade 4 - Division - Horizontal Ratio Table in a Word Problem
In this video, we revisit the ratio table strategy, this time using a horizontal format to solve a word problem.
Grade 4 - Division - Long Division with Remainder
In this video, we tackle the basics of long division, a method often introduced at the grade four level, even though it’s more commonly mastered in higher grades.
Grade 4 - Division - Partial Quotients
In this video, we explore the partial quotients strategy for division, which is similar to the partial products method used in multiplication.
Grade 4 - Division - Ratio Table
In this video, we explore the ratio table strategy for division, which connects multiplication and division in a way that many students find intuitive.
Grade 4 - Division - Repeated Subtraction with Remainder
In this video, we explore the repeated subtraction strategy for solving division problems.

Measurement

Grade 4 - Measurement - Elapsed Time Problem with Timeline
In this video, we tackle an elapsed time problem using a number line to visually represent the passage of time. We model the process step by step, filling in known information and identifying the missing piece.
Grade 4 - Measurement - Elapsed Time Timeline and Overall Addition
In this video, we explore an elapsed time problem, focusing on how to determine the end time of an activity using a timeline or number line.
Grade 4 - Measurement - Perimeter and Area Problems
In this video, we explore problem-solving strategies involving perimeter and area, building on concepts introduced in earlier grades.

Geometry

Grade 4 - Geometry - Geometric Vocabulary
In this video, we cover essential geometric vocabulary that students in grade four need to master as they delve deeper into geometry.

Fractions

Grade 4 - Fractions - Simplify by Dividing by a Common Factor
In this video, we explore how to reduce or simplify fractions by dividing them by a common factor.
Grade 4 - Fractions - Simplifying Fractions Using GCF
In this video, we focus on simplifying fractions using the greatest common factor (GCF) method.
Grade 4 - Fractions - Adding with Unlike Denominators Visual Model
In this video, we explore how to add fractions with unlike denominators using a visual model.
Grade 4 - Fractions - Converting Between Fractions and Decimals
In this video, we explore the process of converting between fractions and decimals, focusing on how understanding place value makes this transition smoother.
Grade 4 - Fractions - Comparing and Ordering Fractions Using Equivalent Fractions and the Number Line
The video demonstrates how to simplify fractions, find a common denominator, and then use this common base to compare and order the fractions.
Grade 4 - Fractions - Modeling Equivalent Fractions
In this video, we explore the concept of equivalent fractions, emphasizing how fractions with different numerators and denominators can represent the same value.
Grade 4 - Fractions - Equivalent Fractions Using Multiplication and Division
In this video, we explore the concept of equivalent fractions, focusing on how to create them using multiplication and division.
Grade 4 - Fractions - Subtracting Unlike Denominators with Modeling
In this video, the focus is on subtracting fractions with unlike denominators. The process begins by visually modeling the fractions using fraction bars.
Grade 4 - Fractions - Multiplying a Fraction by a Whole Number
In this video, the concept of multiplying a fraction by a whole number is explained. The focus is on helping students understand that multiplying by a fraction involves division, which is why the resulting number is smaller.

Word Problems

Grade 4 - Word Problems - Two Step Word Problems with Bar Modeling
In this word problem, we explore how to solve it using the bar modeling method. This approach helps students visualize the problem by breaking it down into manageable parts.
Grade 4 - Word Problems - Two Step Word Problems with Bar Modeling 2
Using the bar modeling method, we can visually represent the total number of Lego pieces as a bar and divide it into equal sections, making it easy to see how to distribute the pieces evenly.
Grade 4 - Word Problems - Solving Word Problems with Bar Modeling
Bar modeling is a powerful visual strategy used to simplify and solve math problems by representing quantities as bars. In this method, you break down a problem into manageable parts, making it easier to see relationships and perform calculations.
Grade 4 - Word Problems - Solving Word Problems with Bar Modeling 2
We can use a bar model, a technique often used in Singapore math to make math more visual and easier to understand.
Grade 4 - Word Problems - Solving Word Problems with Bar Modeling 3
When solving this word problem, we can use bar modeling to visualize the problem, which helps break down and simplify the steps needed to find the solution.
Grade 4 - Word Problems - Solving Word Problems with Fractions Bar Modeling
When solving word problems involving fractions, using visual aids like bar modeling can make the process clearer and more engaging for students.
Grade 4 - Word Problems - Solving Word Problems with Fractions Bar Modeling 2
When solving word problems involving fractions, bar modeling is an excellent strategy for visualizing and breaking down the problem into manageable parts.
Grade 4 - Word Problems - Solving Word Problems with Decimals
When solving word problems involving decimals, it’s helpful to use a structured approach to compare and compute values.