Transcript MA.4.A.1.2 - ElementaryMathematics

BIG IDEA 1 GRADE 4
So, what’s the Big Idea?
BIG IDEA 1
Develop quick recall of
multiplication facts and related
division facts and fluency with
whole number multiplication.
6 x 7 = 42
42 ÷6 = 7
438
X 25
WHAT IS TEACHING TO
BIG IDEA 1
Develop quick recall of
multiplication facts and related
division facts and fluency with
whole number multiplication.
BIG IDEA 1 BENCHMARKS
MA.4.A.1.1
Use and describe various models for
multiplication in problem-solving situations,
and demonstrate recall of basic
multiplication and related division facts with
ease.
R
Repeated Addition
Equal Groups
Successive Subtraction
MA.4.A.1.2
Multiply multi-digit whole numbers
through four digits fluently,
demonstrating understanding of the
standard algorithm, and checking for
reasonableness of results, including
solving real-world problems.
3 X 21 = _____
Estimate __ X __ = ___
A roadrunner can easily outrun a
human. It zips across the desert at
speeds up to 21 ft. per sec. How far
can a roadrunner run in 3 seconds?
What other benchmarks
are also included in this
section of the text?
MA.4.A.4.1
Generate algebraic rules and use
all four operations to describe
patterns, including nonnumeric
growing or repeating patterns.
MA.4.A.4.2
Describe mathematics relationships
using expressions, equations, and
visual representations.
Inequality
7+6 > 3+5
Equation
10 = t + 3
MA.4.A.4.3
Recognize and write algebraic
expressions for functions with two
operations
Rule: multiply by 2 then add 5
Expression: 2x + 5
MA.4.A.6.1
Use and represent numbers through
millions in various contexts, including
estimation of relative sizes of amounts
or distances.
MA.4.A.6.2
Use models to represent division as:
• the inverse of multiplication
• as partitioning
• as successive subtraction
3X4
12 ÷ 3
MA.4.A.6.4
Determine factors and multiples for
specified whole numbers.
MA.4.A.6.6
Estimate and describe
reasonableness of estimates;
determine the appropriateness of
an estimate versus an exact answer.
Two basic types of problem
types in division
Measurement: You have a group of objects and you
remove subgroups of a certain size repeatedly. The basic
question is—how many subgroups can you remove?
Example: You have 15 lightning bugs and you put three
in each jar. How many jars will you need?
Two basic types of problem
types in division
Partitive (Sharing): You have a group of objects and you
share them equally. How many will each get?
Example: You have 15 lightning bugs to share equally in
three jars. How many will you put in each jar?
Properties of Multiplication
Commutative
2X3
3X2
Distributive
6 X 5 = 30
6 X 2 = 12
6 X 7 = 42
Melissa had 8 extra pencils to share with friends. She
shared the 8 pencils with 2 friends. Which expression
shows what Melissa did with her extra pencils?
8x2
8–2
8÷2
8+2
During the summer, Stacey read 5 more books than
Justin. Justin read 11 books. Write an expression to
show how many books Stacey read.
Luca has 3 packs of baseball cards. There are 5 cards in
each pack. His friend John gave him 6 more cards.
Which expression shows the baseball cards that Luca
has?
(3 X 6 )+ 5
(3 X 5) + 6
5 X (6 + 3)
5 + (6 + 3)
Morgan has a bag of 20 candies. She gave 4 to one
friend and 5 to another friend. Write an expression to
show what Morgan did with her candies.
Melissa had some pencils to share equally with 2
friends. Let p represent the pencils. Which
expression shows what Melissa did with her pencils?
px2
p–2
p÷2
p+2
During the summer, Stacey read 5 more books than
Justin. Let b represent the books that Justin read.
Write an expression to show how many books Stacey
read during the summer.
Luca has 3 packs of baseball cards. There are 5 cards in
each pack. His friend John gave him some more cards.
Let n represent the cards from John. Which expression
can show all of the baseball cards Luca has?
(3 X n )+ 5
(3 X 5) + n
5 X (n + 3)
5 + (n + 3)
Morgan had a bag of candies. She gave 4 to one friend
and 5 to another friend. Let c represent the candies. Write
an expression to show what Morgan did with her candies.
Function Tables
Input
X
Output
Y
Rule:
Expression:
Input
X
Output
Y
Rule:
Expression: