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 = ÷6 = X 25

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. 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? 3X 21 = _____ Estimate __ X __ = ___

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. variables expressions

Equation 10 = t + 3 Inequality 7+6 > 3+5

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 3 X 4 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?

Commutative Distributive 2 X 3 3 X 26 X 5 = 30 6 X 2 = 12 6 X 7 = 42 Properties of Multiplication

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? 8 x 2 8 – 2 8 ÷ 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) 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? p x 2 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.

Input X Output Y Function Tables Rule: Expression:

Input X Output Y Rule: Expression: