Mixed & Improper Fractions
Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
Lesson
Set out your lesson
“Mixed & Improper Fractions means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Paper strips or a folded circle
- Pencil and labels (1/2, 1/4)
Extra for the adult
Worked example. Fold a strip in half: each piece is 1/2 of the whole.
Optional challenge. For Mixed & Improper Fractions, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Mixed & Improper Fractions, not mastery.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceMixed & Improper Fractions practice
Practice key ideas from Mixed & Improper Fractions.
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Build a Fraction
Before you open · source notes
Build a Fraction supports hands-on exploration for Mixed & Improper Fractions. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
PhET Interactive Simulations. “Build a Fraction.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Add, subtract, multiply, and divide with positive and negative integers
- Apply formal written methods to calculations with decimals of any size
- Perform all four operations with proper fractions, improper fractions, and mixed numbers
“If your child needs to work out −1/2 + 3/4 − 1 and 1/4 as part of a longer problem, can they do it using written methods — showing each step clearly?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 11–13
Standards