Modeling Mixed Numbers and Fractions

This video tutorial covers the modeling of addition and subtraction of mixed numbers. It begins with an introduction to the topic and outlines the relevant standards and mathematical practices. The video then provides a detailed example of adding mixed numbers using visual models, followed by a subtraction example. The tutorial emphasizes understanding through visual representation and encourages viewers to practice independently.

What is the main focus of this lesson?

• Learning about decimals

• Understanding multiplication of fractions

• Exploring geometry

• Modeling addition and subtraction of mixed numbers

How can a fraction a/b with a > 1 be understood?

• As a quotient of fractions

• As a difference of fractions

• As a sum of fractions 1/b

• As a product of fractions

What is one way to justify decompositions of fractions?

• Using a calculator

• Using a visual fraction model

• Using a ruler

• Using a protractor

What should you do when adding mixed numbers with like denominators?

• Add the numerators and keep the denominator the same

• Add the denominators

• Subtract the numerators

• Multiply the fractions

Which mathematical practice involves making sense of problems?

• Looking for patterns

• Using tools strategically

• Reasoning abstractly

• Persevering in solving them

In the example, how many loaves does Tori need in total?

• 7 and 1/4

• 4 and 1/4

• 5 and 1/4

• 6 and 1/4

What is the first step in adding mixed numbers using a model?

• Divide into thirds

• Divide into eighths

• Divide into fourths

• Divide into halves

When adding mixed numbers, what do you do with the whole numbers?

• Add them

• Ignore them

• Subtract them

• Multiply them

How is an improper fraction converted to a mixed number?

• By subtracting the denominator from the numerator

• By multiplying the numerator by the denominator

• By dividing the numerator by the denominator

• By adding the numerator and denominator

What is the first step in subtracting mixed numbers?

• Take away the whole number

• Multiply the fractions

• Add the fractions

• Divide the fractions