6.NS.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

Hands-on Activities

1. Cooking Challenge

Use a favorite recipe that involves fractions (like a half cup of sugar) and ask your child to adjust the recipe quantities by dividing the fractions, such as making half or a third of the recipe.

2. Craft Proportions

While crafting, ask your child to calculate the amount of materials needed when the instructions are for multiple items but you only want to make a fraction of that amount.

3. Shopping Scenarios

Create shopping scenarios where your child must use division of fractions to figure out how much of an item they can buy with a certain amount of money or how many items they can buy in bulk.

4. Sports Statistics

Ask your child to calculate statistics from their favorite sport where division of fractions is necessary, such as batting averages or completion percentages.

5. Garden Planning

Involve your child in garden planning where they must divide fractions to allocate space for different types of plants or to figure out spacing between plants.

Strategies When Your Child Struggles

1. Using Visual Models

Encourage your child to use pie charts or bar models to visualize the division of fractions which can make abstract concepts more concrete.

2. Simplify First

Teach your child to simplify fractions before performing division to make calculations easier and reduce mistakes.

3. Cross Multiplication

Show your child how to multiply across the fractions (numerator of the first by the denominator of the second and vice versa) to simplify the division into a multiplication problem.

4. Real-Life Application

Help them relate division of fractions to real-life situations like dividing a pizza among friends or measuring ingredients in a recipe to provide practical understanding.

5-Minute Activities

Activity 1: Fraction Flip

Quickly write down fractions on cards, have your child flip two cards at a time and divide the fractions, timing them for speed and accuracy.

Activity 2: Daily Fraction Question

Pose a daily fraction division question during dinner or car rides.

Activity 3: Fraction Division Flashcards

Create flashcards with fraction division problems and use them for spontaneous practice sessions.

Activity 4: Online Fraction Games

Encourage your child to play online games that focus on fraction division to build fluency while having fun.

Mid-Year Expectations

By the middle of 6th grade, your child should be able to:

• Students should be able to solve simple fraction division problems.
• Students should be familiar with using visual models to represent fraction division.

End-of-Year Expectations

By the end of 6th grade, your child should be able to:

• Students should efficiently solve complex fraction division problems, including those in word problems.
• Students should demonstrate flexibility in using different strategies to solve fraction division problems.

Mastery Signs

Your child has mastered this standard when they can:

• Can solve division problems involving fractions quickly and correctly.
• Can explain the process of dividing fractions using correct mathematical terminology.
• Shows confidence in solving word problems that involve fraction division.
• Applies fraction division in real-world contexts correctly.

Questions to Ask:

Ask your child to solve these problems and explain their process:

• Divide 3/4 by 1/2 and explain the steps you took to solve the problem.
• A recipe calls for 2/3 cup of sugar, but you are making half the recipe. How much sugar is needed?
• If 1/3 of a cake is divided equally among 1/2 of the guests, what fraction of the whole cake does each guest get?
• Solve: 5/8 divided by 2/5.