Prerequisites:

* Use a variety of strategies to multiply three digit by three digit numbers

* Read and write whole numbers to millions

* Understand the place value structure of the base ten number system

* Compare and order numbers to millions

* Round numbers to the nearest hundredth and up to ten thousand

* Justify the reasonableness of answers using estimation

* Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parenthesis

* Translate simple verbal expressions into verbal expressions

* Substitute assigned values into variable expressions and evaluate using order of operations

* Solve simple one-step equations using basic whole number facts

NYS Content Standards:

* Use a variety of strategies to multiply two digit by two digit numbers

* Read and write whole numbers to the trillions

* Justify the reasonableness of answers using estimation

* Define and identify the commutative and associative properties of addition and multiplication

* Define and identify the identity and inverse properties of addition and multiplication

* Define and identify the zero property of multiplication

* Represent repeated multiplication in exponential form

* Represent exponential form as repeated multiplication

* Evaluate expressions having exponents where the power is an exponent of one, two or three

* Define and identify the distributive property of multiplication over addition

* Evaluate numerical expressions using order of operations (may include exponents of two or three)

* Determine the mean, median, mode and range for a given set of data

Students must KNOW the following definitions:

Students will UNDERSTAND:

* Place value through the trillions
* Difference between estimation and rounding
* Use estimation to check arithmetic
* Order of operations
* Four steps of problem solving
* Seven problem solving strategies
* Properties of numbers
* How mean, median, mode and range can help to summarize and use data
* Repeated multiplication as exponents

Students will be able to DO the following:

* Identify place value to trillions
* Use estimation in arithmetic
* Add, subtract, multiply and divide whole numbers
* Solve expressions using order of operations
* Evaluate exponents
* Evaluate word problems using the four step plan and seven problem solving strategies
* Use mean, median, mode and range with a given set of data
* Identify appropriate property given a number sentence or expression
 

Expected Timeline: *Note: Please know that this could change slightly due to unforeseen issues.

Day 1- Place value to the trillions
Day 2- Estimation/Rounding
Day 3- Adding and subtracting whole numbers
Day 4- Subtracting with borrowing
Day 5- Multiplying two digit by two digit numbers
Day 6- Dividing by two digit divisor
Day 7- Mean, Median, Mode, and Range
Day 8- Review
Day 9- Quiz #1

Day 10- Four steps of problem solving
Day 11- Seven problem solving strategies
Day 12- Exponents
Day 13- Order of Operations
Day 14- Translate simple verbal expressions into algebraic expressions
Day 15- Substitute assigned values into variable expressions and evaluate using the order of operations
Day 16- Review
Day 17- Quiz #2

Day 18- Translate simple verbal equations into algebraic equations                               
Day 19-Solve simple one-step equations using basic whole-number facts.                   
Day 20-Properties (commutative, associative, distributive, identity, inverse, zero)   

Day 21-Review
Day 22-TEST

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