Wk
Strand
Assignment
What the week is
01
Ways of Counting
In Order, Every Time
There is a way to list things so that nothing gets skipped.
02
Logic & Proof
Did I Miss Any?
A list is not finished just because you stopped writing.
03
Ways of Counting
Two Stages
When two choices come one after the other, you multiply.
04
Ways of Counting
Rows and Columns Count
An array is not a picture of a count. It is the count.
05
Ways of Counting
Three Stages, One Tree
Two stages you can hold in your head. Three, you draw.
06
Ways of Counting
Order Matters
Gold, silver and bronze are not the same as just three winners.
07
Ways of Counting
Order Does Not Matter
Picking a team is not the same as handing out medals.
08
Ways of Counting
Handshakes, Bigger
Everybody shakes hands with everybody, once. Now do it for a hundred people.
09
Dots & Lines
Dots, Lines and Degree
How many lines meet at a dot, and what that number gives away.
10
Logic & Proof
Pigeons and Holes
Sometimes you can be sure without looking.
11
Steps & Rules
Sorting Your Hand
Two people can both sort correctly and one can still do far less work.
12
Steps & Rules
Splitting the Search
Guessing one at a time is the slowest possible plan.
13
Logic & Proof
Case Files
One case file. Everything from the first twelve weeks is in here somewhere.
14
Shape & Space
Cutting a Rectangle
Area is an array that forgot it was an array.
15
Shape & Space
Same Area, Different Shape
Twelve squares can be laid out several ways, and the fence changes every time.
16
Shape & Space
Same Perimeter, Different Area
Now hold the fence still and see what happens to the ground.
17
Ways of Counting
Rectangles Inside a Grid
How many rectangles are hiding in a grid? More than you think.
18
Ways of Counting
Factor Pairs
Every way to build a rectangle out of 12 squares is a fact about the number 12.
19
Ways of Counting
Only Two Rectangles
Some numbers can only be built one way, and that turns out to matter.
20
Ways of Counting
Sharing Without Remainder
Division asks two different questions, and they are not the same question.
21
Number Structure
What Is Left Over
The leftovers are not a mistake. They repeat, and the repeating is useful.
22
Number Structure
The Days Wrap Around
Thirty days from Monday. You can work it out without counting thirty days.
23
Data
Reading a Scaled Graph
One square does not always mean one thing, and that is where mistakes live.
24
Data
Counting From a Picture
Half a symbol is where nearly everybody gets it wrong.
25
Logic & Proof
Puzzle Fair
A little of everything from Weeks 14 to 24. No new rules this week.
26
Fractions
Parts of a Whole
Equal parts. The word equal is doing all the work in that sentence.
27
Ways of Counting
Making One Whole
Counting, but with fraction pieces. Same job: list them in order, miss none.
28
Fractions
Same Amount, Different Name
One half and three sixths are the same amount wearing different clothes.
29
Dots & Lines
Coloring a Schedule
Five clubs, and some of them cannot meet at the same time.
30
Dots & Lines
Can Everyone Be Paired?
Four students, four jobs. Sometimes it fits and sometimes nothing you try will.
31
Steps & Rules
Instructions With a Repeat
The same four sides, written once instead of four times.
32
Steps & Rules
Instructions With a Question
A program that looks at what is in front of it and decides.
33
Ways of Counting
Counting Paths on a Grid
Every corner knows how many routes reach it, if you ask the two corners behind it.
34
Ways of Counting
The Triangle of Numbers
The route numbers, tipped over. And the handshakes are hiding in it.
35
Logic & Proof
Prove It With Pairing
Nine people, three handshakes each. It cannot happen, and here is why.
36
Ways of Counting
The Counting Book, Finished
Thirty-six weeks of pages. This week you turn them into one book.