30 written chapters · 1 published teaching videos

Grade 4, one chapter at a time.

Extend whole-number reasoning to larger calculations and explore how fractions and decimals represent quantities. Use clear units and diagrams to make geometry and measurement problems manageable.

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16 sec
Grade 4 · AI-assisted teaching
Add eighths and regroup a whole
AI-assisted presenter with an American male AI voice. Combine five eighths and seven eighths, regroup eight pieces into a whole, and simplify the remaining four eighths to one half.
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1 short teaching clip is available above, each linked to its exact practice question. Every chapter below opens a written lesson with worked examples and practice. Full lesson recordings are being prepared; the interactive animations are available now.

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Each chapter follows an existing academy lesson. Numbers match the written study order; grade placement is a guide and school sequences may vary.

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30 of 30 chapters · in study order

Chapter 1 · Algebra
Read a number beyond thousands
Interpret each digit of a six-digit whole number.
Written lesson available · video pending
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Chapter 2 · Algebra
A neighboring place is ten times as large
Compare the values of a digit in adjacent places.
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Chapter 3 · Algebra
Choose the rounding place deliberately
Round the same number to different levels of precision.
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Chapter 4 · Algebra
Multiply by expanding a three-digit number
Use partial products for a three-digit by one-digit product.
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Chapter 5 · Algebra
Multiply two two-digit numbers
Split both factors into tens and ones using an area model.
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Chapter 6 · Algebra
Divide hundreds by sharing place values
Use successive place-value sharing for a multi-digit quotient.
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Chapter 7 · Algebra
Decide what a remainder means
Choose rounding or a leftover statement from the situation.
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Chapter 8 · Algebra
Find every factor pair
List whole-number factor pairs systematically.
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Chapter 9 · Algebra
Find when repeating schedules meet
Locate a first shared positive multiple.
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Chapter 10 · Algebra
Classify numbers by their factors
Distinguish prime, composite, and the number one.
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Chapter 11 · Algebra
A pattern can multiply each step
Distinguish repeated multiplication from repeated addition.
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Chapter 12 · Algebra
Group fraction pieces to simplify
Rename a fraction by dividing numerator and denominator by a common factor.
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Chapter 13 · Algebra
Add counts of the same fractional unit
Add fractions with the same denominator.
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Chapter 14 · Algebra
Add mixed numbers and regroup
Combine whole and fractional parts and exchange a full fractional unit.
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Chapter 15 · Algebra
Exchange one whole to subtract fractions
Rename a mixed number when its fractional part is too small to subtract directly.
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Chapter 16 · Algebra
Repeat a fractional amount
Multiply a fraction by a whole number as repeated addition.
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Chapter 17 · Algebra
Connect decimal places to fractions
Rename tenths as hundredths and write decimal notation.
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Chapter 18 · Algebra
Compare decimals by place value
Compare decimal values using equal fractional units.
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Chapter 19 · Algebra
Add tenths and hundredths together
Align decimal places when adding two-place decimals.
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Chapter 20 · Algebra
Read decimals between labeled marks
Locate decimal values from equal subdivisions.
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Chapter 21 · Geometry
Measure turns in degrees
Relate full, half, and quarter turns to degree measures.
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Chapter 22 · Geometry
Choose the correct protractor scale
Read an angle from the zero aligned with its starting ray.
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Chapter 23 · Geometry
Add adjacent angle measures
Find an unknown angle from a known total turn.
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Chapter 24 · Geometry
Compare line directions
Distinguish parallel and perpendicular lines in a plane.
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Chapter 25 · Geometry
Find lines of reflection symmetry
Test whether a fold maps a figure onto itself.
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Chapter 26 · Geometry
Classify triangles in two ways
Describe a triangle by side lengths and angle types.
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Chapter 27 · Geometry
Convert through metric length units
Use a stated conversion chain to express lengths in one unit.
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Chapter 28 · Geometry
Combine conversion and division
Convert before splitting a measured amount into equal pieces.
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Chapter 29 · Statistics
Total fractional measurements from a plot
Combine repeated fractional measurements represented by dots.
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Chapter 30 · Geometry
Recover a rectangle from area and one side
Use division for a missing dimension and then calculate perimeter.
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Watch this grade’s teaching clips

Add eighths and regroup a whole

Explore the complete written study sequence

Chapters and video availability

Read a number beyond thousands

A neighboring place is ten times as large

Choose the rounding place deliberately

Multiply by expanding a three-digit number

Multiply two two-digit numbers

Divide hundreds by sharing place values

Decide what a remainder means

Find every factor pair

Find when repeating schedules meet

Classify numbers by their factors

A pattern can multiply each step

Group fraction pieces to simplify

Add counts of the same fractional unit

Add mixed numbers and regroup

Exchange one whole to subtract fractions

Repeat a fractional amount

Connect decimal places to fractions

Compare decimals by place value

Add tenths and hundredths together

Read decimals between labeled marks

Measure turns in degrees

Choose the correct protractor scale

Add adjacent angle measures

Compare line directions

Find lines of reflection symmetry

Classify triangles in two ways

Convert through metric length units

Combine conversion and division

Total fractional measurements from a plot

Recover a rectangle from area and one side