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PEMDAS & Number Sense
A Khan-style arithmetic-to-pre-algebra foundations track for order of operations, signed numbers, fractions, decimals, ratios, percents, equations, and graph-ready number sense.
This sequenced path uses cited public learning materials plus practice authored for PeerTutor. It does not reproduce provider exercises and is not affiliated with or endorsed by the linked providers.
Course plan
7 units · 7 units, 10-14 weeks foundations cycle · work at your own speed
What you will learn
- Use order of operations accurately instead of guessing from left to right.
- Repair number-sense gaps with integers, fractions, decimals, ratios, and percents.
- Show checks and error corrections so tutors can see the exact misconception.
Your units
Open one unit at a time. Finish it before moving down the list.
1Arithmetic diagnostic and place-value repairSource -> practice -> tutor · 20 checks · 60 min
1Read
Use the first cited source.
Use the source list below, then come back for the checks.
2Practice
20 checked questions
20-item skill bankAdaptive practiceOne clear check at a time
Mastery updates from checked workTarget: durable recallLoading the next check…2Order of operations and expression readingVideo -> practice -> tutor · 20 checks · 60 min
3Integers and rational-number senseSource -> practice -> tutor · 20 checks · 60 min
4Fractions and decimal operationsSource -> practice -> tutor · 20 checks · 60 min
5Percents, ratios, and unit ratesVideo -> practice -> tutor · 20 checks · 60 min
6Pre-algebra expressions and one-step equationsSource -> practice -> tutor · 20 checks · 60 min
7Data displays, coordinate plane, and foundations portfolioSource -> practice -> tutor · 20 checks · 60 min
Books, videos, and sources
Khan Academy materials are free on Khan Academy. PeerTutor is unofficial and is not endorsed by Khan Academy.
Converting percent to decimal and fractionIntroduction to ratiosOrder of operations: PEMDASAlgebra basicsArithmeticPre-algebraMathematics Guidance & ResourcesNYS P-12 Learning Standards by Content AreaIllustrative Mathematics 6-8 MathPrealgebra 2eFlexBook textbooks and concepts
View the full source index