Unit 01 // Session D // Master when ready

Cross the ten

What you need: About 20 small identical things: dried beans, nickels, buttons, or pasta. No objects? Draw dots in the squares and rub them out as they move.

When the answer goes past ten, make the ten first. Then say it as ten and something. Dix et cinq.

Name:
Date:

1

Ten and something.

Start here every time. Say the words out loud: ten and five is fifteen.

10 + 5 =15
10 + 3 =13
10 + 8 =18
10 + 1 =11
10 + 7 =17
10 + 4 =14
Every teen number is a full ten and some ones. Fifteen is ten and five. If this box is slow, stop here and practise only this until it is quick. Nothing below will work without it.
2

Fill the frame first.

The shaded dots in the second frame move across into the dashed spaces in the first one. Once they land, the ten is there on the paper where you can see it, and whatever stays behind is the ones.

+
8 + 7 is10and5=15
+
9 + 4 is10and3=13
+
8 + 5 is10and3=13
+
9 + 6 is10and5=15
3

Split the second number.

How many does the first number need to reach ten? Take that much, and see what is left over.

8 + 7 = 8 +2+5so10and5=15
9 + 5 = 9 +1+4so10and4=14
8 + 6 = 8 +2+4so10and4=14
7 + 5 = 7 +3+2so10and2=12
9 + 7 = 9 +1+6so10and6=16
4

Now the whole answer, on your own.

Whisper the ten, then say the total. The ten never disappears.

9 + 4 =13
8 + 4 =12
9 + 8 =17
7 + 6 =13
8 + 7 =15
9 + 3 =12
5

Which route? Circle the one you used.

Numbers one apart: use a double. One number is 8 or 9 and the other is small: make the ten.

7 + 8 =15Double / Make ten
9 + 5 =14Double / Make ten
6 + 7 =13Double / Make ten
8 + 4 =12Double / Make ten
9 + 6 =15Double / Make ten
8 + 7 =15Either one works

Move on when

The student says the total, not the leftover. "Ten and five, fifteen." If the student answers a bridging question with the small number alone, the ten is still being dropped, so go back to question 1.

For the parent

Ask the last question so the ten comes last, never the leftover. Not "and what is left from the seven?" but "the frame is full, so that is a ten, and how many are outside?" Then have the student say the whole thing: ten and five, fifteen.

Keep the objects you modelled with, the beans or coins, on the table until the student stops needing them. A child who has to remember the ten will drop it. A child who can see the ten will not.

MathNest · Unit 01 · Session D · Cross the ten