Wk
Strand
Assignment
What the week is
01
Patterns & Rules
A Letter For Any Number
One letter says what a hundred examples cannot.
02
Patterns & Rules
A Pattern That Grows
Draw the shape, count the dots, and let the picture hand you the formula.
03
Patterns & Rules
Triangular Numbers
1, 3, 6, 10, 15. You have met them three times already. Now you get the formula.
04
Ways of Counting
The Handshake Formula, Proved
Grade 2 counted them. Grade 3 found the rule. This week you prove it.
05
Patterns & Rules
Adding One to n
Pair the ends. The whole sum falls out in one line.
06
Patterns & Rules
The Odd Numbers Make a Square
1, then 1 + 3, then 1 + 3 + 5. The answers are square, and the picture says why.
07
Patterns & Rules
Looking Back or Jumping Ahead
Two kinds of rule. One needs the answers before it, and one does not.
08
Logic & Proof
When a Pattern Lies
1, 2, 4, 8, 16. Everybody says 32. Everybody is wrong.
09
Logic & Proof
Proof by Picture
Some arrangements settle a question before a single symbol is written.
10
Logic & Proof
Proof by Cases
Split the question into a few kinds, settle each one, and you have settled them all.
11
Ways of Counting
Counting the Same Thing Twice
Count one thing two ways. The two answers must be equal, so you have a rule for free.
12
Patterns & Rules
Rule Fair
Six patterns. Find each rule, and say how sure you are.
13
Logic & Proof
Case Files
Everything from the first twelve weeks, in one folder.
14
Ratio & Rate
Ratio as a Rule
Three cups of flour to two of water. That is a rule with a letter hiding in it.
15
Ratio & Rate
One of Them
Reduce everything to one, and any two things become comparable.
16
Ratio & Rate
Out of a Hundred
Percent is a ratio wearing a uniform. Everything is out of a hundred.
17
Dots & Lines
Scaling a Network
Every road doubles in price. What happens to the cheapest route?
18
Dots & Lines
Everyone Plays Everyone
A round robin, counted with the handshake formula and read as ratios.
19
Number Structure
Factors, By Primes
Grade 4 found common factors by listing. Primes make it a rule instead.
20
Number Structure
All Four Quadrants
The grid goes left and down as well, and nothing else changes.
21
Shape & Space
Distance on a Grid
A delivery van cannot go through buildings. Its distance is a different distance.
22
Shape & Space
A Square Circle
A circle is every point the same distance from the middle. Change the distance, change
23
Shape & Space
Nets and Solids
Flatten a solid, count its parts, and put it back together.
24
Patterns & Rules
The Formula That Always Holds
Faces, edges and corners. One little sum comes out the same for every solid you try.
25
Logic & Proof
Puzzle Fair
A little of everything from Weeks 14 to 24.
26
Ways of Counting
n Choose k
The counting you have done since Grade 3, finally written as a formula.
27
Ways of Counting
Patterns in the Triangle
Every row, every diagonal and every sum in Pascal's triangle means something.
28
Ways of Counting
At Least One
Three words that always mean the same instruction: count them all, count the ones with
29
Ways of Counting
Three Circles, In Symbols
Grade 5 filled the regions in. This week the picture becomes a formula.
30
Ratio & Rate
How Likely Is It?
Chance is a ratio: the outcomes you want against all the outcomes there are.
31
Data
Data Has a Shape
Nine numbers on a line. The shape says more than any single number can.
32
Data
Center and Spread
One number for where the data sits, one for how far it wanders.
33
Data
Same Average, Different Story
Two classes, one average, and you would not want to swap them.
34
Data
Finding the Middle
The median needs the data sorted, and sorting has a price you already know.
35
Logic & Proof
Pigeonhole, Grown Up
Grade 3 put marbles in boxes. Now the boxes are a city.
36
Patterns & Rules
The Rule Book, Finished
Thirty-three pages of rules. This week they become one book, and the line ends.