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Transcript of Single-Digit Multiplication
Mathematical Landscape Project
Multiplying (repeated addition) of two or more whole numbers that are less than ten.
Theresa Dominguez and Cheyenne Evans
Understandings, Knowledge, Skills
Models and Meanings of the Concept
Common Difficulties & Misconceptions
Ex: 4*2 is the same as 4+4
Ex: 4*3 is the same as 4+4+4
Inverse of Division
4*2=8 and 8/2=4
3*4=12 and 12/4=3
Example: (n<10) x (n<10)
What Should Students Know:
Symbols for Multiplication and Addition
Understand Single Digit Addition
Terms for Multiplication
Repeated Addition Problems
Equal size sets
Rows of Equal Size
Tables and Tree Diagrams
Multiplying the sum or difference by a number gives the same result as multiplying each addend by the number and then adding/subtracting the products together
Grouping doesn't matter when we multiply several numbers. The product is still the same.
When we multiply any two numbers, we get the same product regardless of the order
Symbols: Real Number 1* Real Number 2= Real Number 3
For any real number, the product of any two real numbers equals another real number
When we multiply any number by one, we get the same number
When we multiply any number by zero, the product is zero
Addition and Multiplication
Multiplication is repeated addition
Division and Multiplication
Multiplication is the inverse of division
Half then Double
Single Digit Addition
Joe has 5 trucks. Kade has 3 times as many.
How many does Kade have?
Counting from one to find product
Does not understand vocabulary
ex: groups of, multiply by
Do not connect ideas
Does not focus on rows or columns
Only sees arrays as a collection of 'ones'
Cannot apply knowledge of doubles
Does understand adding groups