Big Ideas. Our scope and sequence includes rigorous coverage of fractions topics from grades 2–7 to ensure that students build deep conceptual understandings and make strong connections to procedures at each step. Topics are organized around Big Ideas in fractions education.

Nearly 500 lessons occupy 5 -15 minutes each and present over 60 hours of instruction spread across 5 school years. Typically-achieving students complete about one-third of this set, giving them a minimum of 5 hours of practice per year. Struggling students receive built-in remediation, drawing from over 100 hours of additional support activities, and the teacher controls this time allocation. Students also have access to fractions tools that they can use throughout the year to explore challenging topics and build higher-order understandings. Students can visit the computer lab, use a bank of computers in the classroom, work on laptops, or work at home.

### Understand Fractions

Big Idea 1. Fractions are numbers that can be represented in different ways.

• Modeling Part/Whole Relationships
• Writing Fraction Numbers
• Comparing Fractions
• Measuring on a Number Line

### Add and Subtract Proper Fractions

Big Idea 2. Fractions with like denominators (same size parts) are numbers that can be added or subtracted.

• Addition with Sums to 1 Whole
• Subtracting from Less Than 1 Whole
• Missing Parts

### Comprehend Mixed Numbers and Improper Fractions

• Mixed Numbers
• Ordering and Estimating Mixed Numbers
• Improper Fractions
• Ordering and Estimating Improper Fractions

### Add and Subtract Improper Fractions and Mixed Numbers

Big Idea 4. Fractions and mixed numbers with like denominators (same size parts) can be added or subtracted.

• Addition and Subtraction of Proper Fractions Across 1
• Addition and Subtraction of Improper Fractions
• Addition and Subtraction of Mixed Numbers

### Learn Equivalent Fractions

Big Idea 5. Equivalent fractions name the same amount by using different-sized fractional parts.

• Introduction to Equivalent Fractions
• Ordering and Comparing Equivalent Fractions
• Learning the Procedure for Finding Equivalent Fractions
• Finding More Than One Equivalent

### Add & Subtract with Uncommon Denominators

Big Idea 6. Rewriting fractions so they have the same denominator is a procedure used when adding and subtracting.

• Find Common Denominators to Add and Subtract
• Add & Subtract Related Fractions: Models
• Add & Subtract Unlike Fractions

### Add & Subtract Improper Fractions and Mixed Numbers with Uncommon Denominators

Big Idea 7. Rewriting fractions so they have the same denominator is a procedure used when adding and subtracting mixed numbers and improper fractions.

• Add and Subtract Related Improper Fractions
• Add and Subtract Related Mixed Numbers
• Add and Subtract Unlike Fractions

### Multiply Fractions

Big Idea 8. Multiplication with fractions is similar to multiplication with whole numbers in that you are often finding the product of groups of items. They are different in that you can multiply with fractions to find parts of an amount.

• Multiply a Fraction by a Whole Number
• Multiply a Whole Number by a Fraction
• Multiplying with Common and Uncommon Factors