Discrete mathematicsGrade 1
Grade 1
36 weeks
77 pages

WHAT GOES TOGETHER

SORT IT. THINGS GO TOGETHER FOR A REASON, AND YOU CAN SAY THE REASON.

A full year of sorting, matching and patterns, for six-year-olds. Every week hands the child a rule and asks them to use it, because holding a rule in your head while you work is the step underneath everything else in this line. The page carries one sentence and a picture, and the picture is the task.

Download the workbook Teacher guide
36
weekly assignments
two pages each
77
printable pages
proofed in grayscale
15
CA standards touched
named on the page each week
147
answers recomputed
from the problems, on every build

Every week, in order

THE WHOLE YEAR.

Wk
Strand
Assignment
What the week is
01
Sorting & Rules
One Pile or the Other
The rule is given. Every object goes in exactly one pile, and none is left over.
02
Sorting & Rules
What Is the Same?
Naming a shared attribute out loud. The answer is a sentence, not a word.
03
Sorting & Rules
What Is Different?
The same pairs as last week, asked the other way. Same and different are one skill.
04
Sorting & Rules
Does It Belong?
Applying a stated rule to a new object. Yes or no, with a reason.
05
Sorting & Rules
Sort It Two Ways
The same objects, a second rule, and different piles. Sorting is a choice.
06
Matching
One for Each
One-to-one matching. Enough or not enough, decided without counting either row.
07
Matching
More, Fewer, or Same
Comparing two sets by pairing them off, not by counting them (1.NBT.3).
08
Matching
Which Row Ran Out?
Three sets put in order by pairing them against each other, none of them counted.
09
Patterns
What Comes Next?
Repeating patterns, AB and ABB. The child continues the strip.
10
Patterns
Find the Part That Repeats
Naming the unit of a repeating pattern, which is the thing that makes it a pattern.
11
Patterns
It Grows
A growing pattern, not a repeating one. Each stage is bigger than the last.
12
Sorting & Rules
Sorting Fair
Review of weeks 1 to 11. Every kind of question the year has asked so far.
13
Order & Time
Line Them Up
Three objects in order by length (1.MD.1). Compared directly, never measured.
14
Order & Time
Longer Than the Pencil
Indirect comparison (1.MD.2). Two things compared using a third that touches both.
15
Order & Time
How Many Paper Clips?
Length as a row of same-size units laid end to end, with no gaps (1.MD.2).
16
Shape & Space
Sort the Shapes
Shapes into piles by a rule the page states (1.G.1). The first shape week.
17
Shape & Space
What Makes It a Triangle?
Defining and non-defining attributes (1.G.1). Three sides matters. Color does not.
18
Shape & Space
Two Shapes Make One
Composing shapes (1.G.2). Two pieces put together and the whole named.
19
Shape & Space
Cut It Fair
Halves and fourths by folding (1.G.3). Equal parts, decided by matching them up.
20
Dots & Lines
Around the Table
A picture of who is next to who. Adjacency, drawn, and never named.
21
Dots & Lines
Everybody Waves
Three friends, every wave drawn once. The handshake problem at its smallest.
22
Dots & Lines
Do Not Touch the Same Color
Coloring so no two touching parts match. The rule is checked, never minimized.
23
Pictures & Data
Three Buckets
Sorting into three categories and drawing what you found (1.MD.4).
24
Pictures & Data
Which Bucket Has More?
Reading a picture graph back and comparing its bars (1.MD.4).
25
Steps & Paths
Getting There
Any path from the start to the flag on a small grid, drawn by the child.
26
Steps & Paths
The Short Way
Two drawn paths, each one counted, and the shorter one named (1.OA.1).
27
Steps & Paths
Follow the Arrows
Three arrows executed in order, and the landing square marked.
28
Steps & Paths
Write the Arrows
The reverse of last week: the start and the end are given, the arrows are not.
29
Numbers & Tens
A Ten and Some More
A teen number is one full ten and some ones (1.NBT.2). Seen, not told.
30
Numbers & Tens
Ten More, Ten Less
One row down is ten more, one row up is ten less (1.NBT.5).
31
Numbers & Tens
Rows of Ten
Why the chart's columns end in the same digit, and what that says about ten (1.NBT.1).
32
Ways of Counting
Every Way to Make 6
All the number pairs that make 6, listed in order so none is missed (1.OA.6).
33
Ways of Counting
Two Hats, Two Scarves
Every outfit, drawn. There are four, and drawing them is the whole method.
34
Ways of Counting
Three Friends, Two Chairs
Every pair from three, drawn. There are three, and order does not matter.
35
Order & Time
First, Next, Last
Putting a day in order, and reading a clock on the hour (1.MD.3).
36
Sorting & Rules
The Last Sort
Everything once more, and a look at what Grade 2 does with all of it.

This is the book’s own table of contents, read out of the source rather than retyped here. The fourth column is the line printed under the title on the student’s page.

California standards touched

This is enrichment: it reinforces and extends these standards rather than delivering them. No standard here is taught to mastery by this program alone. The list is the set of codes actually named in the “In class this week” line across the 36 weeks, counted from the published book.

1.G.11.G.21.G.31.MD.11.MD.21.MD.31.MD.41.NBT.11.NBT.21.NBT.31.NBT.51.OA.11.OA.51.OA.61.OA.8
Everything, free

Every one of the 147 numeric answers in that guide is recomputed from the problem as the workbook states it, by a script that ships with the source and runs on every build.

The year after
GRADE 2: DISCRETE MATH ADVENTURES
See it.

No year in this line has been run start to finish in a classroom yet. If you would be the first teacher to do it, we would like to hear from you.