30 written chapters · 1 published teaching videos
Grade 5, one chapter at a time.
Bring fractions, decimals, and whole-number operations together in practical problems. Explore volume, coordinates, and patterns while learning to explain the steps in a longer solution.
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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
Add fractions with different units
Create common fractional units before adding unlike fractions.
Written lesson available · video pending
Study this chapterChapter 2 · Algebra
Subtract unlike fractions
Rename unlike fractions before finding a remaining amount.
Written lesson available · video pending
Study this chapterChapter 3 · Algebra
Take a fraction of a fraction
Interpret fraction multiplication as selecting part of a part.
Written lesson available · video pending
Study this chapterChapter 4 · Algebra
Multiply a mixed amount
Convert a mixed number or distribute its parts before multiplication.
Written lesson available · video pending
Study this chapterChapter 5 · Algebra
Share a fractional amount equally
Divide a fraction by a positive whole number.
Written lesson available · video pending
Study this chapterChapter 6 · Algebra
Count fractional portions in a whole
Interpret whole-number division by a unit fraction.
Written lesson available · video pending
Study this chapterChapter 7 · Algebra
A fraction also records division
Connect a/b to a equally shared among b groups.
Written lesson available · video pending
Study this chapterChapter 8 · Algebra
Move between fraction and mixed-number forms
Use quotient and remainder to separate complete wholes from a fraction.
Written lesson available · video pending
Study this chapterChapter 9 · Algebra
Read decimal thousandths
Interpret decimal places through thousandths.
Written lesson available · video pending
Study this chapterChapter 10 · Algebra
Scale decimals by powers of ten
Explain decimal scaling through place-value changes.
Written lesson available · video pending
Study this chapterChapter 11 · Algebra
Multiply a decimal by a whole count
Use fractional place value to locate a decimal product.
Written lesson available · video pending
Study this chapterChapter 12 · Algebra
Multiply two decimal measurements
Use fractional units to justify decimal multiplication.
Written lesson available · video pending
Study this chapterChapter 13 · Algebra
Share a decimal quantity equally
Divide a decimal amount by a whole-number group count.
Written lesson available · video pending
Study this chapterChapter 14 · Algebra
Count decimal-sized portions
Scale dividend and divisor together to preserve a quotient.
Written lesson available · video pending
Study this chapterChapter 15 · Algebra
Read powers as repeated factors
Distinguish an exponent from multiplication by the exponent.
Written lesson available · video pending
Study this chapterChapter 16 · Algebra
Read grouping before calculating
Apply parentheses and multiplication before addition in numerical expressions.
Written lesson available · video pending
Study this chapterChapter 17 · Geometry
Locate points with ordered pairs
Use horizontal then vertical coordinates to locate a point.
Written lesson available · video pending
Study this chapterChapter 18 · Algebra
Compare two rules in a table
Relate outputs of two multiplication patterns.
Written lesson available · video pending
Study this chapterChapter 19 · Geometry
Count space using unit cubes
Define volume as a count of equal cubes filling a solid.
Written lesson available · video pending
Study this chapterChapter 20 · Geometry
Derive the box-volume formula
Multiply length, width, and height for a rectangular prism.
Written lesson available · video pending
Study this chapterChapter 21 · Geometry
Add nonoverlapping solid volumes
Find a stepped solid's volume by splitting it into rectangular prisms.
Written lesson available · video pending
Study this chapterChapter 22 · Geometry
Convert cubic centimetres to cubic metres
Explain why volume conversion cubes a length factor.
Written lesson available · video pending
Study this chapterChapter 23 · Statistics
Understand the mean as a fair share
Find an arithmetic mean by redistributing a fixed total equally.
Written lesson available · video pending
Study this chapterChapter 24 · Statistics
Average fractional measurements
Compute the mean of a small set of fractional lengths.
Written lesson available · video pending
Study this chapterChapter 25 · Algebra
Connect percent with familiar fractions
Interpret percent as parts out of one hundred.
Written lesson available · video pending
Study this chapterChapter 26 · Geometry
Read a simple drawing scale
Use a fixed correspondence between drawing and actual lengths.
Written lesson available · video pending
Study this chapterChapter 27 · Geometry
Convert a decimal mass to grams
Apply metric conversion to decimal quantities.
Written lesson available · video pending
Study this chapterChapter 28 · Geometry
Convert a fraction of an hour
Use sixty minutes per hour when converting fractional time.
Written lesson available · video pending
Study this chapterChapter 29 · Statistics
Read changes from a line graph
Interpret increases and decreases between recorded times.
Written lesson available · video pending
Study this chapterChapter 30 · Algebra
Check a fraction result before exact work
Use nearby benchmarks to bound and assess fractional answers.
Written lesson available · video pending
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