What are Number Talks? - Click on the link to read about the students' role and teacher's role during Number Talks
Number Talks- Click on the link to find Number Talk ideas
Numbers #1: 9, 16, 25, 43
We can put these on Seesaw for the students to answer at a station to show and verbally record their mathematical thinking.
3. Watch 5x9 is more than 45 (Video)
*Show at parent night at the beginning of the year!
https://www.stevewyborney.com/?p=542
Show this one day. Show again the next day, just a portion and have them build the area model he speaks about.
Do they understand each of the 5 rows is a group therefore it is a set.
The next day, repeat what was said, redraw the model. Where do you see that when you have 45 divided by 9 you also have 1 ninth.
Next day- go back repeat up to where left of yesterday and short amount more, have them create the model, a number line.
Next day- continue to go over this daily layering a new portion of it until they own all of the connections.
The next week put it in a station 6x7, 7x8 or another challenging fact.
I want you to go back and think about the video we watched and everything that went into 5x9. I want you to repeat all of those things for this fact.
4. Fact of the day during transitions- every time in the room there is a transition ask students questions about the fact of the day, use the video above for question ideas.
5. Mashup Math Book
Two Truths and One Lie, pages 11-12
*The students will fold their construction paper into 6 squares and record the following:
In top left square (yellow): Show thinking using an array
In top middle square (green): Record the inverse operations
In top right square (red): Draw a strip diagram
In bottom left square (blue): Draw a number line
In bottom middle square (pink): Draw an area model
In bottom right square (purple): Show using repeated addition/subtraction
1. Money Bags Game
2. Swish
3. Clumsy Thief
Ex. Show 9 groups of 5
Ex. 47- What is the compliment of 100? Show me on your rekenrek. (47 + 53 = 100)
Ex. 81- What is the compliment of 100? Show me on your rekenrek (81 + 19 = 100)
Ex. Show me how to solve 48 / 6 (write all related facts)
Ex. Show me how to solve 9 x 8 (write all related facts)
*Remember to do and undo!!
A Trip to the Movies page 16-17
Each Orange Had 8 SLices page 17
Roll It Arrays with spinner, 10 sided dice, counters, 100-beaded rekenrek, color tiles, grid paper, cuisenaire rods and open number lines page 20-21
Array Picture Cards page 21 and 34
Roll and Jump page 23
Talk About It/Write About It page 24
Formative Assessment on page 30
Pick A Problem page 31
Pick A Card page 39
Talk About It/ Write About It page 40
Eliminate It! Page 41
When they begin they are going to be looking at each of the different shapes. You want them to sort them into what they think will be the greatest to least area and perimeter. This is done BEFORE they actually work the problems. Then you have them determine the area as efficiently as possible, and discussing the related facts. Do the same with perimeter. Students should not only use addition, they MUST show it in various ways.
Talk About it/Write About It page 49
Over and Under page 49-50 (students have choice of dice, 6, 10, 12 sided)
Formative Assessment page 51
Talk About It/Write About It page 51
Simplify It page 51
Spin and Split page 58
Agree/Disagree page 59
Utilize page 67
Telling Time for the 5 facts page 81-82; Judy clock
Choose various stations to develop differentiation and accountability
Used to represent division and show relationshipis between numbers using base ten blocks and grid paper. This starts at a teacher station and then will be moved to student stations. It can also be utilized for arrays and equations.
*Problem #1: E has 24 seashells. How do we know there are 24 seashells there? She separated the shells into 4 equal groups. Let’s think a min. What did we start with? What is the action being performed? So when we see we are separating what are the 2 operations we know about as 3rd graders? I need to know how to represent the # of seashells E put into each group? Why do you think in that array there are 4 rows? So the number of rows is the divisor. That being the case, where do I find the quotient? 1 of the rows, 1 fourth of the array? When you divide the array into 4 equal groups you are dividing it into fourths? How would I divide it into 6ths? I’m wondering, do you think there is truly as equal group when I look at each row? If it is not arranged neatly, make it organized on grid paper- that is your job as a student. What’s another related fact for that representation? 4 groups of _ is 24.
Do not just ask for answers they must be prodded. Use the synonyms.
Students can be given color tiles to build it. Cuisenaire Rods can also be used as the step after color tiles.
Looking at “strip diagram” but also a type of part part part part part whole diagram. We must build their confidence in area models so everything must have an area model.
Questions:
Why do you think there are 6 rectangles in that diagram? What do you notice about those 6 rectangles in that diagram? Do you think we will be talking about unequal groups or equal groups? So I am already down to 2 choices for operations as a 4rd grader. What does that mean, that each table seats 12 students? Are the tables or the students designating a group? The way this diagram is built- each table is a group. What is the size of every group? 12 Looking at that diagram, what are you going to do? Have them build it with the manipulative of their choice.
Have math congress to talk about what students created. What did you do? How is yours like _? How is yours different than _? What is the related division fact for this problem? That is another related division problem?
Questions: Could you put at least 2 pounds in each group?
How many pounds of dough were you comfortable putting into groups first? You need to spend time with this analysis
What did you realize from your first step? Have them do the related facts. They need to record what they need to access the work.
Rock N Roll Vocabulary: related facts (inverse operations), synonym for ____, area model, distributive property, strip diagram, partial quotient, rational number
Comfort Zone vs Growth Zone graphic