Understand Fractions: Area Models
Subject: Math
Grade: Third grade
Topic: Understand Fractions
Please LOG IN to download the presentation. Access is available to registered users only.
View More Content
Welcome to Fractions!
– Introduction to fractions
– Fractions as parts of a whole
– Imagine a pizza cut into equal slices, each slice is a fraction of the pizza.
– Using area models for fractions
– Draw shapes and shade parts to show fractions.
– Visualizing fractions with models
– See how many pieces fill up a shape to make a whole.
|
Begin the lesson by introducing the concept of fractions, explaining that they represent parts of a whole, much like a slice of pizza is a part of an entire pizza. Emphasize that each fraction is made up of a numerator and a denominator. Use area models, such as shaded parts of a square or circle, to help students visualize what fractions look like and how they can represent them on paper. Show how different fractions can fill up a shape to make a whole, and how the same whole can be divided into different numbers of equal parts. This visual representation will aid in their understanding of fractions as a concept.
What is a Fraction?
– A fraction shows part of a whole
– Example fraction: 1/2
– 1/2 means one out of two equal parts
– Numerator: the top number
– Numerator tells how many parts we have
– Denominator: the bottom number
– Denominator tells into how many parts the whole is divided
|
Begin by explaining that a fraction represents a piece of something that is whole. Use visual aids like a pie chart or a pizza to show how a whole can be divided into equal parts. The fraction 1/2 can be illustrated by cutting a shape into two equal parts and highlighting one. Clarify that the numerator (top number) indicates the number of parts being considered, while the denominator (bottom number) shows the total number of equal parts the whole is divided into. Reinforce the concept by asking students to visualize different fractions using area models and to identify the numerator and denominator in each case.
Understanding Fractions with Area Models
– Area models visualize fractions
– Think of a shape as a whole divided into equal-sized parts
– Shapes divided into equal parts
– Like a pizza cut into 4 equal slices, each slice is 1/4
– Each part is a fraction of the whole
– If you have one slice, you have 1/4 of the pizza
– Examples: pizza or cake slices
|
Area models are a great way to help third graders understand fractions by visualizing them as parts of a whole. Use everyday examples like a pizza or a cake to make it relatable. If a pizza (the whole) is cut into 4 equal slices, each slice represents 1/4 of the pizza. Emphasize that all parts must be equal for the model to represent fractions accurately. Encourage students to draw their own area models and to identify fractions in different shapes. This will help them grasp the concept of fractions as parts of a whole and prepare them for more complex fraction problems.
Fractions in Everyday Life
– Fractions are all around us
– Example: Slicing a pizza
– Imagine cutting a pizza into 4 pieces
– Taking 1 out of 4 slices
– If you take 1 piece, that’s 1/4 of the whole pizza
– Sharing equally shows fractions
– Like when you share snacks with friends
|
This slide aims to help students see the practical application of fractions in their daily lives. Use the example of slicing a pizza, which is a relatable activity, to illustrate the concept of fractions. Explain that when a pizza is cut into equal parts, each part is a fraction of the whole. If a student takes one slice from a pizza that was cut into four slices, they have one-fourth (1/4) of the pizza. Emphasize that fractions are a way to represent equal parts of a whole and are used when sharing things equally. Encourage students to think of other examples where they use fractions at home or in school.
Let’s Practice with Area Models
– Shapes divided into equal parts
– Each part represents a fraction
– If a shape has 4 equal parts, each part is 1/4
– Identify fraction of shaded area
– Look at the shaded sections to find the fraction
– Understanding fractions visually
– Area models help us see fractions in shapes
|
This slide is designed to help students practice the concept of fractions using area models. Begin by explaining that when a shape is divided into equal parts, each part is a fraction of the whole. Use visual aids like squares or circles divided into equal sections to illustrate this. Then, guide students to identify what fraction of the whole is represented by the shaded area in these shapes. For example, if two out of four equal parts are shaded, the shaded area represents 2/4 or 1/2 of the whole. Encourage students to draw their own area models and shade in different fractions. This visual approach will solidify their understanding of fractions as parts of a whole.
Comparing Fractions with Area Models
– Why compare fractions?
– Area models show shaded parts
– Picture a pizza: more slices eaten means a larger fraction
– Visual comparison of fractions
– Which fraction makes a bigger shape? 1/2 of a square or 1/4?
– Understanding fraction value
|
This slide introduces the concept of comparing fractions to determine which is larger or smaller. Emphasize that understanding the value of fractions is crucial in everyday decisions, like sharing food equally. Area models, such as shaded parts of a shape, provide a visual method for students to easily compare fractions. For example, if one pizza (shape) is cut into two pieces and another into four, and we shade one piece of each, students can see that half a pizza is more than a quarter. Encourage students to think of fractions as parts of a whole and use area models to visualize and compare these parts. Activities can include coloring shapes to represent different fractions and then comparing the sizes, or using fraction tiles if available.
Activity Time: Create Your Own Area Model
– Make an area model using paper
– Draw a shape and divide equally
– Shapes can be squares or rectangles
– Color parts to represent fractions
– If you divide a shape into 4 parts, color 1 part to show 1/4
– Show different fractions with colors
– Use different colors for 1/2, 1/3, 1/4 etc.
|
This activity is designed to help students visualize fractions through the use of area models. Provide each student with paper and colored pencils or crayons. Guide them to draw a shape, such as a square or rectangle, and divide it into equal parts. Then, instruct them to color in a certain number of parts to represent different fractions. For example, if the shape is divided into four parts, coloring one part would represent 1/4. Encourage creativity and ensure they understand that the whole shape represents one whole unit. Possible variations of the activity could include using different shapes, dividing shapes into a different number of equal parts, or even combining colored parts to represent sums of fractions.
Class Activity: Fraction Bingo
– Let’s play Fraction Bingo!
– Receive a Bingo card with area models
– Each card has different fraction area models
– Match fractions to your card’s models
– Look for the fraction that fits the shaded part of your area model
– Five in a row wins the game!
|
This interactive activity is designed to help students recognize fractions using area models. Distribute the Bingo cards, ensuring each student has a unique card. Explain how area models represent fractions, with shaded parts indicating the numerator and the total sections representing the denominator. As you call out fractions, students will look for a corresponding area model on their card and mark it. This game encourages students to visualize fractions and reinforces their understanding of area models. Possible variations of the game could include having students call out the fractions for their peers, using different shapes for area models, or creating a pattern on the Bingo card instead of a row.
Mastering Fractions with Area Models
– Congratulations on learning fractions!
– Fractions represent parts of a whole
– Like a pizza sliced into equal parts
– Practice makes perfect in fractions
– Use area models to keep practicing
– Aim to become a fractions expert
– With dedication, you’ll excel in understanding fractions
|
This slide is a celebratory conclusion to the lesson on fractions using area models. Reinforce the concept that fractions are a way to represent parts of a whole, similar to how a pizza can be cut into equal slices. Encourage the students to continue practicing with area models, as this will help solidify their understanding and build confidence. Remind them that becoming proficient with fractions is a journey, and with consistent practice, they can become experts. Celebrate their progress so far and motivate them for future learning.