Grade 6
Foundations
Ratios, percents, negative numbers, first expressions and equations, and the geometry and statistics that lead into Pre-Algebra.
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Recipes and Speeds
Unit 1 · Ratios and Rates
0 of 11 units complete
- 1Unit 1Ratios and Rates5 parts · about 13 min
Recipes and Speeds
A ratio compares two amounts that grow together. Scale a lemonade recipe, find the best deal at the shop, and watch every ratio line up on a graph through zero.
- 2Unit 2Percent5 parts · about 15 min
Out of a Hundred
Percent just means "out of 100". Shade a hundred grid, find 10% in your head, work backwards to the whole, and decide whether a 50% discount after a 50% discount makes something free.
- 3Unit 3Dividing Fractions5 parts · about 13 min
How Many Fit?
Dividing by a fraction asks "how many of these fit?". Count hops on a number line, discover why "flip and multiply" works, and share pizzas and ribbons.
- 4Unit 4Negative Numbers5 parts · about 15 min
Below Zero
Temperatures, bank accounts and submarines all go below zero. Hop along the number line, find out why subtracting a negative means adding, and why a negative times a negative is positive.
- 5Unit 5Absolute Value5 parts · about 12 min
How Far from Zero?
Absolute value is distance, and distance is never negative. Measure it on the number line, find the distance between two numbers, and solve a lift puzzle.
- 6Unit 6Expressions5 parts · about 14 min
Letters That Hold Numbers
A letter in an expression is a box waiting for a number. Plug numbers in, see the distributive law as a rectangle, collect like terms, and turn sentences into algebra.
- 7Unit 7One-Step Equations5 parts · about 14 min
Keep the Scale Level
An equation is a balanced scale. Do the same thing to both sides until x stands alone. Then let the scale tip and meet inequalities.
- 8Unit 8Area of Triangles5 parts · about 11 min
Where the Half Comes From
Every triangle is exactly half of a rectangle. Drag corners to see it, find areas of parallelograms and trapezoids by cutting and rearranging, and measure a strangely shaped garden.
- 9Unit 9Surface Area and Volume5 parts · about 13 min
Wrapping and Filling
Volume is how much fits inside; surface area is how much wrapping paper you need. Build boxes that hold the same amount but need very different wrapping, and solve the packaging puzzle.
- 10Unit 10Statistics5 parts · about 11 min
What Is Typical?
Mean and median both describe "the middle", but they can disagree wildly. Drag data around, watch one billionaire walk into a room, and work backwards from an average.
- 11Unit 11Quadrants5 parts · about 12 min
Four Quadrants
Negative numbers open up the whole plane. Read a point's quadrant from its signs, reflect shapes in the axes like a mirror, and find distances across zero.