Mathematics

Grade 6 Math: scope and sequence

Where middle school starts: decimals and fraction division, integers and the coordinate plane, ratios, rates and percents, expressions and one-step equations, area, surface area and volume, and a first look at data.

17units
85lessons

There is no fixed calendar for this course. The units are written to be taken in order, and most families spend one to two weeks on each.

The units, in order

#Unit and what it coversLessons
1 Decimals & Long Division
Place value carries on past the point, which is why the old methods still work.
5
2 GCF and LCM
Prime factorisation answers both questions at once: shared factors give the GCF, and everything needed gives the LCM.
5
3 Dividing Fractions
Dividing asks how many of these fit into that, and the answer can be bigger than you started with.
5
4 Integers & Absolute Value
Below zero is a direction, and how far from zero is a separate question.
5
5 The Coordinate Plane
Two numbers pin down any point, once you agree which one comes first.
5
6 Ratios & Ratio Tables
A ratio compares two amounts, and scaling both by the same factor leaves it unchanged.
5
7 Unit Rates & Better Buys
Reduce everything to one of something, and comparisons become obvious.
5
8 Percents
Per cent means per hundred, so every percent is a fraction with a hundred underneath.
5
9 Expressions & Order of Operations
A letter stands for a number you have not been told yet, and the order of operations settles what a written expression means.
5
10 One-Step Equations
An equation is a balanced scale, and whatever you do to one side you must do to the other.
5
11 Inequalities
Some questions have a whole range of answers, and a number line is how you show them all.
5
12 Area of Triangles & Quadrilaterals
Every area formula in this unit comes from a rectangle that has been cut up or rearranged.
5
13 Surface Area & Nets
Unfold a solid and its surface becomes a flat shape whose area you already know how to find.
5
14 Volume with Fractional Edges
Volume still counts cubes — but when the cubes are smaller than one unit, counting is not the whole answer.
5
15 Statistical Questions & Distributions
A statistical question is one that expects a spread of answers, not a single one.
5
16 Centre & Spread
One number for the middle is never enough, because two very different groups can share an average.
5
17 Reading Graphs & Estimation
A graph is an argument. Read the scale before the shape, or you will believe whatever it wants you to believe.
5

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