Decimals and Fractions | 12 Lessons, Case Cards & Application Studios | Grade 5

Decimals and Fractions is a math unit for Grade 5 with 69 pages of classroom material and a separate 29-page teacher guide. Students work through decimal place value, comparing and rounding, the four operations with decimals, and then equivalent fractions, adding and subtracting unlike fractions, multiplying fractions and dividing with unit fractions. It is written for fifth grade teachers who want one structured unit that puts meaning before rules.

The unit has twelve lessons with the same three pages each: an explanation page, a practice page with explanation, and a case card. After the lessons come twelve application studios and twelve model studios, one pair per lesson. In the application studios students choose an operation from the meaning of a situation; in the model studios they connect representations. An exact-model page on equivalent fractions, two vocabulary pages, a learning check, a project and a reflection page complete the unit.

What's Included

• Classroom Material: 69 pages (PDF, print edition)
• Teacher Guide: 29 pages (PDF) with answers, case guidance and assessment feedback
• Editable DOCX text editions of the classroom material and the teacher guide
• Presentation with 17 slides (PPTX)
• Original illustrations and fraction models; the PDF is the print reference and DOCX line breaks may differ
• Application studios 1 to 12 and model studios 1 to 12, one pair per lesson, plus an exact-model page on equivalent fractions and keys for every application studio

The 12 Lessons

• Lesson 1: Decimal place value – Reading and building decimals by the value of each place.
• Lesson 2: Compare and round – Comparing decimals and rounding them.
• Lesson 3: Add decimals – Adding decimals with attention to place value.
• Lesson 4: Subtract decimals – Subtracting decimals in the same way.
• Lesson 5: Multiply by whole numbers – Multiplying a decimal by a whole number.
• Lesson 6: Decimal by decimal – Multiplying one decimal by another.
• Lesson 7: Divide decimals by whole numbers – Dividing a decimal by a whole number.
• Lesson 8: Decimal divisors – Dividing when the divisor is a decimal.
• Lesson 9: Equivalent fractions – Finding and explaining fractions that name the same amount.
• Lesson 10: Add and subtract unlike fractions – Combining fractions that have different denominators.
• Lesson 11: Multiply fractions – Multiplying fractions and explaining the result.
• Lesson 12: Division with unit fractions – Dividing with unit fractions.

Students Will Learn To

• Read, compare and round decimals using place value
• Add, subtract, multiply and divide decimals and explain each step
• Find equivalent fractions and use them to add and subtract unlike fractions
• Multiply fractions and divide with unit fractions
• Choose an operation from the meaning of a situation and connect it to a model

Perfect For

• Grade 5 teachers who need a closed unit on decimal and fraction operations
• Teachers who want students to explain a strategy rather than only follow a rule
• Classes that need models and application cases next to the practice pages
• Homeschool families looking for printable lessons with a separate answer guide
• UK and Australia: roughly Year 6

Why Teachers Choose This Unit

• Each lesson follows the same explanation, practice and case card pattern, so students know what to expect
• Twelve application studios and twelve model studios give students repeated work on choosing an operation and on connecting representations
• The unit covers both decimal operations and fraction operations in one purchase, so the two topics can be taught side by side
• The teacher guide has a teaching concept, sequence and preparation notes, answers for all twelve lessons, an assessment key with feedback, and a differentiation and observation chapter
• Editable DOCX text editions allow you to adapt wording for your class

Every resource is built around the curriculum you teach – and if something doesn't fit your standards, the TeachLessons Guarantee applies: we adapt it for you.

Created with AI assistance. Texts and illustrations were generated with AI support and edited for classroom use; sources and production notes are at the end of the teacher guide.

Frequently Asked Questions

Which standards does this fit?

The content is closest to CCSS 5.NBT (number and operations in base ten) and 5.NF (number and operations, fractions). No alignment or endorsement is claimed.

Are answers included?

Yes. The separate 29-page teacher guide has answers and teaching notes for all twelve lessons, keys for all twelve application studios, and an assessment key with feedback.

How long does the unit take?

The material does not state a duration. Plan by lesson: each has three pages, and you can use the lessons in order or choose the ones you need.

What are the application and model studios?

Each of the twelve lessons has an application studio, where students choose an operation from meaning, and a model studio, where they connect representations. The teacher guide has a key for every application studio.