30 written chapters · 1 published teaching videos
Grade 3, one chapter at a time.
Build multiplication and division from equal groups, then connect fractions to parts of a whole. Use these tools to reason about area, measurement, and information in tables.
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Chapters and video availability
Each chapter follows an existing academy lesson. Numbers match the written study order; grade placement is a guide and school sequences may vary.
30 of 30 chapters · in study order
Chapter 1 · Algebra
Multiply equal groups
Interpret multiplication as a count of equal groups.
Written lesson available · video pending
Study this chapterChapter 2 · Algebra
Explain why factor order can change
Use a rotated array to justify commutative multiplication.
Written lesson available · video pending
Study this chapterChapter 3 · Algebra
Break a product into useful parts
Use distribution to build an unfamiliar multiplication fact.
Written lesson available · video pending
Study this chapterChapter 4 · Algebra
Understand multiplication by zero and one
Explain special products using group models.
Written lesson available · video pending
Study this chapterChapter 5 · Algebra
Divide to count groups
Find how many fixed-size groups fit in a total.
Written lesson available · video pending
Study this chapterChapter 6 · Algebra
Use multiplication to solve division
Find a missing factor to answer a division question.
Written lesson available · video pending
Study this chapterChapter 7 · Algebra
Interpret leftovers in division
Report quotient and remainder for indivisible objects.
Written lesson available · video pending
Study this chapterChapter 8 · Algebra
Choose operations for a two-part total
Combine equal groups with an extra separate amount.
Written lesson available · video pending
Study this chapterChapter 9 · Algebra
Round to the nearest hundred
Compare a number's distance to adjacent hundreds.
Written lesson available · video pending
Study this chapterChapter 10 · Algebra
Multiply a one-digit number by tens
Treat a multiple of ten as a count of tens.
Written lesson available · video pending
Study this chapterChapter 11 · Algebra
Add across two place-value trades
Regroup both ones and tens in three-digit addition.
Written lesson available · video pending
Study this chapterChapter 12 · Algebra
Regroup through an empty tens place
Subtract by trading a hundred through the tens place.
Written lesson available · video pending
Study this chapterChapter 13 · Algebra
Place fractions on a number line
Use equal intervals to locate fractions between zero and one.
Written lesson available · video pending
Study this chapterChapter 14 · Algebra
Describe a fraction of a collection
Name the selected part of a finite set.
Written lesson available · video pending
Study this chapterChapter 15 · Algebra
Rename halves as fourths
Explain equivalent fractions through finer equal partitions.
Written lesson available · video pending
Study this chapterChapter 16 · Algebra
Compare fractions with equal-size pieces
Compare numerators when denominators and wholes match.
Written lesson available · video pending
Study this chapterChapter 17 · Algebra
Compare equal counts of different pieces
Compare fractions sharing a numerator by reasoning about unit size.
Written lesson available · video pending
Study this chapterChapter 18 · Algebra
Write whole numbers as fractions
Recognize that enough fractional units can make whole numbers.
Written lesson available · video pending
Study this chapterChapter 19 · Geometry
Derive rectangle area from rows
Use length times width to count unit squares.
Written lesson available · video pending
Study this chapterChapter 20 · Geometry
Find area by joining rectangles
Add areas of nonoverlapping rectangular parts.
Written lesson available · video pending
Study this chapterChapter 21 · Geometry
Find a missing boundary length
Use a perimeter total to recover an unknown side.
Written lesson available · video pending
Study this chapterChapter 22 · Geometry
Same perimeter, different area
Separate boundary length from covered area.
Written lesson available · video pending
Study this chapterChapter 23 · Geometry
A square belongs to several families
Classify quadrilaterals by properties rather than exclusive names.
Written lesson available · video pending
Study this chapterChapter 24 · Geometry
Recognize a quarter-turn angle
Use a square corner to identify a right angle.
Written lesson available · video pending
Study this chapterChapter 25 · Geometry
Find duration with a time line
Compute elapsed time across an hour using minutes.
Written lesson available · video pending
Study this chapterChapter 26 · Geometry
Combine mass measurements
Convert kilograms to grams before adding masses.
Written lesson available · video pending
Study this chapterChapter 27 · Geometry
Compare liquid capacities
Relate litres to millilitres and compute available capacity.
Written lesson available · video pending
Study this chapterChapter 28 · Statistics
Read repeated values in a dot plot
Use stacked marks to show repeated numerical observations.
Written lesson available · video pending
Study this chapterChapter 29 · Statistics
Reason with a larger graph scale
Find differences and totals from a graph using a four-unit scale.
Written lesson available · video pending
Study this chapterChapter 30 · Statistics
List every simple combination
Organize choices so no combination is missed or repeated.
Written lesson available · video pending
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