Embedded Files
TUESDAY
TUESDAY
At the end of class today, you will be able to:
- Explain how the place-value system extends to large numbers.
- Recognize and understand a variety of models and approaches for developing multiplication and division algorithms.
Current Event Groups
Current Event Groups
Hundreds Boards Activities
Hundreds Boards Activities
- Look at and talk about patterns you see on the board.
- Find the answers to "What's My Number?"
- Make up your own what's my number and share with each other.
- What skills can you teach with the 100s Board
Multiplication and Division
Multiplication and Division
- Involves composing and decomposing numbers; students can use invented strategies for multiplication by breaking numbers apart.
- Involves a strong understand of the commutative, associative, and the distributive properties for multiplication and addition
- Standard algorithms are formats/patterns for computing that have been developed over time - involving doing one operation one number at a time.
- Computational estimation allows numbers to be decomposed and operations to be preformed with smaller groups.
- Multiple digit multiplication requires understanding of place value
- Start with models for both division and multiplication
- NLVM - http://nlvm.usu.edu/en/nav/category_g_2_t_1.html
- Graph paper - arrays
- Base ten blocks and connecting cubes
- Lattice multiplication and grid method
- Box and Chunking for division
100 Hungry Ants Word Problems
100 Hungry Ants Word Problems
https://lausd.wistia.com/medias/8dqg6cj888
Wednesday
Wednesday
Fractions
Fractions are one of the most important topics needed to understand algebra, but one of the areas in which US students struggle the most.
Students must experience fractions in many contstructs -
Part-whole: shading a region; part of a group - 3/5 of class; part of a length 2 1/2 miles
Measurement: using a selected measurement to determine that amount in other object; how many 1/2 cups in 2 cups
Division: sharing $10 with 4 people
Operator: can be used to indicate an operation 3/4 of 100
Ratio: fraction 1/4 can can be part-part or part whole; or represent probability
Why Fractions are Difficult
1. There are many meanings/constructs for fractions.
2. Fractions are written in a unique way.
3. Students overgeneralize their whole number knowledge.
- Students see numerator and denominator as separate values - not as one number.
- Use ruler; identify 3/4 as three-fourths - NOT "3 over 4" OR "3 out of 4"
- Students do not understand that parts in fractions are the same size.
- Ask students to create their own representations.
- Students think that 1/5 is smaller than 1/10.
- Use the idea of fair shares.
- Students mistakenly used the operation "rules" for whole numbers to compute fractions.
- Use many visuals and context.
https://www.teachingchannel.org/videos/teaching-fractions-cisco
https://www.teachingchannel.org/videos/3-phase-lesson-structure-cisco
rrent Events
Fraction Resources-
Free fraction strip printables - https://www.math-salamanders.com/printable-fraction-strips.html
https://filefolderfun.com/ThirdGrade/Math
ASSIGNMENTS
ASSIGNMENTS
1. BRING: your laptop, and Grandfather Tang book
2. Read Grandfather Tang.
3. Read/watch: Hershey’s Milk Chocolate Fractions Book . at: Open Hershey’s Milk Chocolate Fractions Book ; Review this slide show that goes along with the book. This slide show sets the stage for teachers using the book to develop Project Based learning opportunties for their students. See below
4. Choose a partner to work with next week. You and your partner choose a book (from an online resource) that you like and has some possible math connections. Listen or read the book. You can choose your book from one of these online sites: https://www.storylineonline.net/ , https://www.justbooksreadaloud.com/index.php , http://mrsp.com/ ,http://en.childrenslibrary.org/
You MAY NOT use a book that we have talked about in class or was purchased for class. A list of math themed books can be found here: http://www.dearteacher.com/math-books - or better yet, find your own!
Begin thinking and talking about connections to math, SDGs, and other content.
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