The Interior — Math · Every band

Mathematics

The whole course on one page, band by band: every unit with its chapters, sections and numbered lessons. Tap a lesson to open it. A tick means you got all three checks right.

← Math, every band

27 units 62 chapters 629 lessons 0 done
Band

Grades K–2

5 units · 10 chapters · 75 lessons

Drawn scene: a yellow school bus at the curb on a bright morning with a line of children boarding, a hundred-chart poster in one window and ten-frame squares painted on the sidewalk
1Unit

Counting and Numbers

Number
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Drawn scene: a pond at golden hour with ducks on the water and three flying off, lily pads joined like a number bond, and reeds at the edges
2Unit

Adding and Subtracting

Operations
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Drawn scene: a lemonade stand at the end of a driveway under a shady tree, with stacks of paper cups in tens and a big glass jar of buttons on the table
3Unit

Place Value to 1,000

Number
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The storyThe Lemonade Stand — Two days of sales, two cards with numbers and one big question: how many cups in all?

Drawn scene: a classroom wall with a chalkboard, a big analog clock, a ruler taped up and a rainy window with a rain gauge, and a bake-sale table with a cash box and coins
4Unit

Measuring, Time and Money

Measurement
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Drawn scene: a block city of cubes, cylinders, cones and a triangle roof built on a striped rug in window light, with a sandwich cut in halves on a plate in front
5Unit

Shapes and Equal Shares

Geometry
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Band

Grades 3–5

6 units · 13 chapters · 133 lessons

Drawn scene: a farm kitchen table with egg cartons, a muffin tin and cookies cooling in rows, and a window looking out on a field and a barn
6Unit

Multiplication and Division

Operations
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Chapter

What Multiplying Means

Multiplication

The storyThe Day the Pattern Showed Up — Egg cartons, muffin tins and a bakery counter full of numbers that kept repeating.

The storyTwenty-Eight Cookies, Four Friends — A plate of cookies, a fair share for everyone, and two cookies that would not fit.

Drawn scene: a school gym set up for a science fair seen from the bleachers, with rows and columns of tables, a scoreboard panel and ceiling lights
7Unit

Place Value and Multi-Digit Arithmetic

Number
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Chapter

Place Value to the Millions

Place Value

The storyHow Many Seconds Old Are You? — A birthday question turns into a number too big to picture, and place value is the only way to hold it.

The storyToo Many Desks to Count — A custodian needs one number for the whole school, and counting desks one by one would take all day.

Drawn scene: the curved lanes of a running track with a picnic table in front holding a pizza cut in eighths, a wooden ruler and a tape measure
8Unit

Fractions

Number
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Chapter

What a Fraction Is

Fractions

The storyThree Ways to Say One Half — A ruler, a pizza and a running track look nothing alike, but by the end of the day Maya sees they share one idea.

The storyTwice the Pancakes — A Saturday breakfast for eight people turns a simple recipe into a puzzle about fourths, halves and cups.

Chapter

Dividing With Fractions

Fractions

The storyBows From Three Yards — A spool of ribbon, a pair of scissors and a question that looks like division but feels like counting.

Drawn scene: a 100-meter dash finish line at stadium dusk with runners at the tape, a photo-finish timing board and a stopwatch on a bench
9Unit

Decimals

Number
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The storyFour Hundredths of a Second — Eight sprinters cross the line together, and only the digits after the point can say who won.

Section 3Comparing and Rounding
18.7Comparing Decimals18.8Rounding Decimals

The storyThe Receipt That Did Not Add Up — A girl who can add decimals catches a cash register in a $3.98 mistake.

Section 4Money and Measurement Problems
19.9Money Word Problems19.10Measurement Word Problems
Drawn scene: a school garden at morning with raised beds, a fence going up, a wheelbarrow, a watering can and a row of bean poles of different heights
10Unit

Measurement and Data

Measurement
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Chapter

Area, Perimeter and Volume

Measurement

The storyThe Garden That Needed a Fence — A class wants to plant a garden, but first they must answer two very different questions about the same rectangle.

Section 3Shapes Built From Rectangles
20.7Split It Into Rectangles20.8Find the Missing Side
Chapter

Units, Time and Data Displays

Measurement and Data

The storyPepper on the Scale — Every Monday the class weighs their guinea pig, and by spring a row of X marks tells a story nobody expected.

Drawn scene: a city planner's desk under a lamp with a gridded street map and compass rose, a protractor and a treasure-map scroll marked with an X
11Unit

Geometry and the Coordinate Plane

Geometry
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The storyThe Planner's Map — A city planner looks at a map of Chicago and sees angles on every corner.

Chapter

The Coordinate Plane and Patterns

Geometry and Patterns

The storyThe X at (7, 4) — A treasure map with no trees, no rivers and no landmarks, only a grid and one pair of numbers.

Section 4Coordinates in the Real World
23.9Maps and Coordinates23.10Shapes on the Grid
Band

Grades 6–8

6 units · 16 chapters · 167 lessons

Drawn scene: a bright grocery aisle with shelves of boxes in two sizes, a hanging price tag, a shopping cart and a starburst sale sign
12Unit

Ratios, Rates and Proportions

Ratios and Proportional Relationships
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The storyTwo Boxes, One Calculator — Maya has six dollars, two boxes of the same cereal and a phone calculator, and she wants to know which box is the better buy.

Section 2Tables and Double Number Lines
24.4Ratio Tables24.5Double Number Lines

The storyThirty Percent Off, Then Twenty More — A jacket, two sale stickers and an argument at the register: is 30% off followed by 20% off the same as 50% off?

Section 4Scale and Combined Percents
25.9Scale Drawings25.10Percents in a Row
Drawn scene: Chicago's lakefront in deep winter with the skyline, a frozen shore, falling snow and a thermometer post whose red column sits below zero
13Unit

The Number System

Number
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Chapter

Integers and Rational Numbers

Rational Numbers

The storyMinus Twenty on Lake Shore Drive — One January morning in Chicago, the thermometer dropped so far that the usual counting numbers ran out.

Chapter

Operations With Rational Numbers

Rational Numbers

The storyThe Account That Went Below Zero — A first checking account, a few small purchases, and a lesson in what happens when the balance drops past zero.

The storyRice on the Chessboard — An old tale about a chessboard, a grain of rice, and a reward that grew faster than any king could pay.

Drawn scene: a brass balance scale on a lab table holding blocks on one pan and a bag on the other, a gridded chalkboard behind and a phone on the table
14Unit

Expressions, Equations and Inequalities

Algebra Begins
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Chapter

Expressions and Properties

Expressions

The storyTwenty Dollars Plus Five a Gig — Maya's phone bill changes every month, but one short expression predicts all of it.

The storyThe Scale That Never Lies — A sealed bag of marbles, a balance scale, and a rule that explains every equation you will ever solve.

Drawn scene: a hillside bike path at dawn, a straight road climbing to a flat stretch with a rider, evenly spaced fence posts, and a staircase cut up a bluff in the mist
15Unit

Functions and Linear Equations

Algebra
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Chapter

Linear Equations and Slope

Linear Equations

The storyTwo Hills, Two Staircases — Two sets of stairs climb the same height, but one leaves you out of breath. A single number explains why.

Chapter

Functions

Functions

The storyThe Graph of a Bike Ride — A coach draws one curve on the board, and the whole ride is in it: the hill, the flat road, even the water break.

Chapter

Systems of Equations

Systems

The storyWhen Does the Tortoise Get Caught? — An old fable becomes a math problem the moment you draw both runners on the same graph.

Drawn scene: the Giza pyramids at sunset with a knotted rope staked in the sand as a three-four-five triangle and a surveyor standing at one corner
16Unit

Geometry

Geometry
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The storyMeasuring a Circle with a Piece of String — A soup can, a ruler and a shoelace are enough to find one of the most famous numbers in mathematics.

Section 2Circles and the Number π
34.4Around a Circle34.5Inside a Circle

The storyThe Surveyor Who Measured the Earth with Shadows — More than two thousand years ago, a librarian used a well, a stick and a little geometry to measure the whole planet.

The storyA 3-4-5 Rope and the Builders of the Pyramids — A knotted rope, twelve equal spaces and three people pulling can make a perfect right angle without any tool at all.

Section 2Same Shape, Same Size?
36.4Growing: Dilations36.5Congruent or Similar
Drawn scene: a classroom at evening with a dot plot growing on the whiteboard, a jar of coins, two dice and a spinner on the teacher's desk, dusk in the window
17Unit

Statistics and Probability

Statistics and Probability
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Chapter

Describing Data

Statistics

The storyTwenty-Eight Heights, One Class — A seventh-grade class in Chicago tries to answer a simple question and finds that one number is never enough.

Section 1Questions and Pictures of Data
37.1Statistical Questions37.2Dot Plots37.3Histograms
Chapter

Probability and Sampling

Probability

The storyOne Hundred Flips — A student flips a coin 100 times, gets 56 heads, and has to decide whether the coin is cheating.

Section 3Simulations and Samples
38.7Simulating Chance38.8Random Samples
Chapter

Two-Variable Data

Statistics

The storySleep and Scores — Twenty-four students track their sleep for a week, and a scatter plot reveals a pattern no single number could show.

Band

Grades 9–10

5 units · 13 chapters · 144 lessons

Drawn scene: a rainy night city street with a taxi and its glowing meter, a bus shelter, neon signs, and light trails crossing on the wet road
18Unit

Algebra I: Linear Equations, Functions and Systems

Algebra
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The storyThe Formula on the Back of the Fertilizer Bag — A community garden, a 20-pound bag, and one line of small print that turns out to be algebra.

The storyTaxi Fare, Cell Data and the Meaning of f(3) — The same input, 3, gives two different answers, and both are right, because the rules are different.

The storyThe Bake Sale Budget — Cookies, brownies, one folding table and a $60 budget: the club needs an answer that fits every limit at once.

Section 1Two Equations, One Answer
42.1What a System Is42.2Solving by Graphing
Drawn scene: a basketball court at dusk, a ball arcing toward the hoop along a faint dotted path, bleachers, a scoreboard and the wood floor
19Unit

Algebra I: Exponents, Polynomials and Quadratics

Algebra
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The storyThe Penny That Beat a Million Dollars — Offered a choice between a fortune and a penny that doubles, most people choose wrong.

Chapter

Polynomials and Factoring

Polynomials

The storyThe Garden and Its Gravel Path — A rectangle inside a rectangle hides an equation that a whole chapter is needed to solve.

The storyThe Arc of a Free Throw — A basketball leaves a player's hands and its whole flight is already decided by three numbers.

Drawn scene: a steel truss bridge of repeating triangles over a green river at evening, with a compass and straightedge on a drafting table in the foreground
20Unit

Geometry: Reasoning, Congruence and Triangles

Geometry
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Chapter

Reasoning and Proof

Geometry

The storyFive Rules and Two Thousand Years — A teacher in ancient Alexandria wrote down five simple rules, and people are still arguing about the last one.

The storyWhy the Triangle Holds — A bridge made of squares would fold flat, and a bridge made of triangles will not. The difference is a theorem.

Section 1Moving Shapes Without Changing Them
47.1Translations47.2Reflections47.3Rotations47.4Symmetry

The storyWhere to Build the Fire Station — Three prairie towns share one fire crew, and every town wants the station to be the same distance from its own main street.

Drawn scene: a flagpole on a school lawn casting a long late-afternoon shadow toward a small mirror on the grass, a manhole cover in the road, a Ferris wheel far off
21Unit

Geometry: Similarity, Trigonometry and Circles

Geometry
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The storyThe Flagpole and the Mirror — A class needs the height of a flagpole, and all they have is a tape measure, a small mirror and a little geometry.

The storyWhy the Cover Is Round — A public-works crew, a heavy iron lid and a question that turns out to be pure geometry.

Section 3Circles on the Coordinate Plane
50.7The Equation of a Circle50.8Finding the Center
Drawn scene: a baseball diamond under stadium lights at night with a scoreboard and a scatter of fans in the stands that drifts upward like a trend
22Unit

Statistics in Algebra I

Statistics
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The storyTwo Pitchers, One Average — A coach on the Northwest Side of Chicago has two pitchers with the same average, and she still has to pick one for the playoff game.

The storyThe Number That Fooled a Town — A lakeside town council finds a striking pattern in its records and nearly passes a law based on it.

Band

Grades 11–12

5 units · 10 chapters · 110 lessons

Drawn scene: a workbench with a cardboard sheet cut at the corners beside the open box folded from it, and rolling hills in the window drawn as one smooth curve
23Unit

Algebra II: Polynomial, Rational and Radical Functions

Algebra
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Drawn scene: a seismograph drum tracing a waveform on a desk by a window on Chicago's lakefront at sunrise, the lake rolling in a long wave
24Unit

Algebra II: Exponential, Logarithmic and Trigonometric Functions

Algebra
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The storyThe Earthquake Scale: Why a 7 Is Thirty Times a 6 — One April morning a quake in southern Illinois rattled dishes in Chicago, and the number on the news hid an exponent.

Chapter

Trigonometric Functions

Trigonometry

The storyA Year of Chicago Daylight, Drawn as a Wave — Chicago's longest day has about six more hours of light than its shortest, and the path between them traces a curve that repeats forever.

Drawn scene: a nautilus shell cut open on a teal desk beside coin stacks that double in height, under a framed aerial print of a stadium with spiraling rows
25Unit

Sequences, Series and Modeling

Algebra and Modeling
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Chapter

Sequences and Series

Sequences

The storyThe Schoolboy and the Sum — A teacher hands out a long addition problem to buy himself a quiet hour, and one student is done before the teacher sits down.

The storyEmptying Soldier Field — A stadium on the lakefront, tens of thousands of people, and a question that has to be answered with a pencil before anyone opens a gate.

Drawn scene: a polling place at dusk with a line of people waiting at a lit door, a bell-curve-shaped hill behind, a clipboard and a ballot box on the table
26Unit

Statistics: From a Sample to a Claim

Statistics and Probability
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The storyThe Chart on the Wall of Exam Room 3 — A little sister, a nurse with a pencil, and a number on a chart that sounds like a grade but is not one.

Section 2Percentiles and the Limits of the Model
59.4From a Z-Score to a Percentile59.5When the Normal Model Fits

The storyTwo Million Ballots and the Wrong Answer — In 1936 a famous magazine collected more than two million responses and still predicted the wrong president. The problem was not the count.

Drawn scene: a Main Street intersection at evening with a traffic light, a columned bank, a car at the curb, and a bar-chart poster in a shop window
27Unit

Financial Math and Capstone

Applied Mathematics
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Chapter

Financial Math

Applied Mathematics

The storyTwo Roommates, One Car Loan — Two roommates buy the same used car with the same loan, and one of them pays about $1,600 more for it.

Chapter

Capstone: Model It

Modeling

The storyThe Traffic Light on Main Street — A student who is tired of waiting at one light decides to find out, with a stopwatch and a notebook, whether the light is really badly timed.

Section 2Getting Good Data
62.3Gathering Data62.4Cleaning the Data
For the teacher

The course follows the arc of a standard junior-high U.S. history textbook — units, chapters, sections, numbered lessons — in original text written at a grade 6–8 reading level. Every lesson has a main idea, a three- or four-paragraph reading with key words you can tap, a source, a data table or a scenario to think through, and three checks.

Progress ticks live on this device only. Print any unit page for a paper copy.