Block 8, Mar. 8 - 26, 2010

Operation Meanings/Relationships & Chance - Representing Division and Probability
During this block, students study the meaning and models of division. Particular emphasis should be placed on the inverse relationship
between multiplication and division and the two models of division (partitive, or ‘sharing’, and quotitive, or ‘repeated subtraction’).

Students experiment with outcomes of probability.

Utah State Core Standards, Objectives & Indicators

Standard 1: Students will understand the base-ten numeration system, place value concepts, simple fractions and perform operations with whole numbers.

Objective 3: Model problems involving addition, subtraction, multiplication, and division.

a. Demonstrate the meaning of multiplication and division of whole numbers through the use of a variety of representations (e.g., equal-sized groups, arrays, area models, and equal jumps on a number line for multiplication, partitioning and sharing for division).

b. Use a variety of strategies and tools, such as repeated addition or subtraction, equal jumps on the number line, and counters arranged in arrays to model multiplication and division problems.

Objective 4: Compute and solve problems involving addition and subtraction of 3- and 4-digit numbers and basic facts of multiplication and division.

c. Compute basic multiplication facts (0-10) and related division facts using a variety of strategies based on properties of addition and multiplication (i.e., commutative, associative, identity, zero, and the distributive properties).

Standard 2: Students will use patterns, symbols, operations, and properties of addition and multiplication to represent and describe simple number relationships.

Objective 2: Recognize, represent, and simplify simple number relationships using symbols, operations, and properties.

a. Represent numerical relationships as expressions, equations, and inequalities.

Standard 5: Students will collect and organize data to make predictions and identify basic concepts of probability.

Objective 2: Identify basic concepts of probability. a. Describe the results of events using the terms “certain,” “likely,” “unlikely,” and “impossible.”

b. Conduct simple probability experiments, record possible outcomes systematically, and display results in an organized way (e.g., chart, graph).c. Use results of simple probability experiments to describe the likelihood of a specific outcome in the future.

Core Vocabulary: divisor, dividend, quotient, likely, certain, outcome, impossible outcome


Poem

The 5 Lives of 9 Lines

 By Becca P. and Becca W.

3 naughty lines were climbing up one very tall vine

The top line looked down just to see their very small town

But only to frown as he fell right back down


As he fell down with that sorry big frown

He became caught

In a very big knot

With all of his friends believe it or not


He heard a big bash then a huge crash

And became frightened

As the knot they were in constantly tightened


Three friends tried to help them up

Only to make it worse

For they fell in

It must be a curse


Finally they became untangled 3 to a group

In the shape of a polygon with 3 angles


3 more lines stumbled onto them with fright

Trying to untangle them making the knot more tight


The 6 tangled lines feared they weren't doing it right

they tried to tell them

Only causing a fight.


The nine lines were terribly troubled

They stood up to find that their problem had doubled


They looked in a mirror guess what they found

They were a 3-D triangle

Very tightly bound


They had a big problem

They were soon to find

All they had to do was be clever at mind.


They twisted and turned

When they were done

Their bodies burned


Then they noticed

3 lines slipped out of the knot

But were 6 lines left

They had not


They were in there second stage again

Two triangles

Not again


They squiggled and squirmed

It was very hard

One of them bent down to pick up a card


He found he was free

" Hey look at me! " He said

They all stood up

They were so tired that they went right to bed


Lessons and Activities...

Math book-2008 SFAW Diamond Edition

7-8 Dividing with 6 and 7

7-9 Dividing with 8 and 9

7-10 Dividing with 0 and 1 7-11 Remainder

7-12 Division Patterns with 10, 11, and 12

12-7 Describing Chances

12-8 Fair and Unfair

12-9 Probability


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St. George, Utah 73.0 °F

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