Grades K-2

Relational Thinking to 10, More or Less

Jen Moffett, , , , , , Leave a comment

Our lives in kindergarten land are immersed in the idea of making 5’s and 10’s. Here is an activity you can do (After playing Make a 10…See previous blog!) to build relational thinking to 10.

Materials: Deck of Card, 3 post-its

Objective: To determine whether two addends (cards) make a sum (total) that is less than, more than, or the same as 10.

  1. Have your student write less than 10 on the first post-it, the same as 10, or just 10 on the second post-it, and more than 10 on the third post-it. more or less 10d(Note: You can also include the symbols <, =, >, but I prefer to work on the concept FIRST then introduce the symbolic notation later.) Place the post-its on a workspace that has lots of room.
  2. Shuffle the cards. Place deck face-down. I typically hold the decmore or less 10k and place two cards face-up for the child, but if students are playing in small groups they take turns taking the top two cards and placing them face-up. The child decides whether the sum is less than 10, the same as 10, or more than 10. If in small group, the others confirm or debate. Once the value is established, the student puts the cars face up as a pair under the correct post-it.
  3. Continue until all cards are used (That is A LOT of addition they are doing!).more or less 10c

Note: I totally stack my deck. I want to make sure some of the first pairs have a variety of sums so that the child (or children) see cards under each post-it. Here are a few of my favorite sets of cards to ‘stack’…

  • 1+2 (I like to start with a known fact and something a lot smaller than 10.)
  • 1+9 (Again, building on the “one more” facts, but this time it is 10.)
  • 3+9 (Relational to 1+9. If 1+9 is 10, then adding more makes more than 10. HUGE!!!!)
  • 10+4 (Any 10+ is great, as students really need to build to 10+ for first and second grade. It is amazing how many children do not see this as immediately more than 10, so it is a great one to have a conversation about!)
  • 2+3 (We have done so many that are greater than 10, nice to go back to a set less than 10.)
  • 5+5 (One of the first known facts for making 10.)
  • 5+8 (Similar to 1+9 above. If 5+5 makes 10, then adding more makes more than 10.)
  • 5+2 (Conversely, if 5+5 makes 10, then adding less makes less than 10.)

Alternative Games for Older Students

  • Use larger value cards and work less than, equal to, or greater than 20, 50, 100, etc.
  • Use cards with decimal values and play less than, equal to, or greater than 1.00.
  • Use cards with fraction values and play less than, equal to, or greater than 1.
  • Use black and red cards (reds are negative, blacks are positive) and play less than, equal to, or greater than 0.

 

Relational Thinking to 10, More or Less

Game: Making Ten

Jen Moffett, , , , 2 Comments

Kindergarten kiddos are immersed in addition and subtraction right now! They are exploring addition as adding more ‘stuff’ and subtraction as taking away (or removing) ‘stuff’. Many of the kids are in their Level 1 Counting All stage in which they rely on counting one-by-one to get the sum or difference.

For example: 3 + 4. A child at this level would count 1, 2, 3 then 1, 2, 3, 4; putting them together, 1, 2, 3, 4, 5, 6, 7.

This is acceptable for Kinder kiddos! This is awesome! This is the first step! But it isn’t where we want them to stay, particularly at the end of first grade. I tutor some students in grade 1 who haven’t moved past this level. So I took a game that has been around and edited to push kids into Level 2 Counting On.

Make a Ten!

Object: To find as many pairs of cards that add to 10 in your round.

Materials: Cards 0-10 (4 of each). Note: This is the most crucial component. I will talk more about the cards below.

Directions: (Below is a video clip. Sorry about the sniffling; it is allergy season here in TX!)IMG_9347

  1. Shuffle the cards. Lay out 4 rows of 4, face up.
  2.  Player 1 finds as many pairs of cards that add up to 10. He takes the cards and (I made them do this!) says, “________ and __________ make 10!” He continues until there are no more cards that pair up to make ten.
  3. Take the remaining cards (if any) and put them back in the pile. Reshuffle and lay out 4 more rows of 4 cards.
  4. Player 2 finds as many pairs of cards that add up to 10. She takes the cards and (I made them do this!) says, “________ and __________ make 10!” She continues until there are no more cards that pair up to make ten.

Continue alternating until there are not enough cards left to play. Player with the most cards wins.

Adaptations

Chris did struggle with 4 + 6 (or 6 + 4). I pulled out a ten frame to help with, “How many more do you need to make 10?”. img_9356.jpg

Chris refused to have any extra cards. In fact he got quite cheeky about it. This was his modification (he called it a ‘cheat’). I was perfectly fine with it, as I am sure you would be as well! I did not give him the word ‘altogether’ to use; that was a natural piece of the conversation. Woot! Woot!

 

Card Choices

  • If you are just starting out, only use 0-5 and make sets of 5. This is foundational and kids do not spend enough time on fact fluency to 5 before jumping in to 10.
  • The cards I used were from Eureka Math. I love them, as they are friendly shapes and are in sets of 5’s. So 10 is represented as two-fives. This link will get you to the cards I used as well as others they have (like ten-frames) http://eurekamath.didax.com/exclusive-items.html/
  • If students do not need the symbols (or you are pushing to counting on or fact fluency) I would suggest just write the numbers 0-10 in four colors on index cards. That would be cheap and easy.  You could also make your own cards with dots (if they need the dots to count) or ten frame cards this way as well.
  • You can mix/match as well. Use 2 of each number card 0-10 and 2 sets of each dot or ten-frame card. That way, students have to use counting on for some of the sums.
  • Another site for cards would be Sumboxes. They have number cards larger than 10 so you can play to other sums (like 20, 50, 100, etc.). sum boxesThey also have fantastic dot cards/ten frame cards together for some great exploration! https://sumboxes.com/collections/types?q=52+Pickup+Card+Decks&page=2

Whatever cards you choose to use, make sure they are appropriate for the level of the learner!!!

Game: Making Ten