Aug30-Sep3

**The fox, the rabbit and the carrots**
===A boatman has been hired to take a fox, a rabbit, and a bag of carrots across the river. However, the boat only has room for one passenger at a time. The fox will eat the rabbit if left alone on one side, and the rabbit will do the same with the carrots.===

How do you get all three across without any of them being eaten?

 * What You'll Learn:**
 * 1) Use a four-step plan to solve problems.
 * 2) Choose an appropriate method of computation.


 * What you'll do:**
 * Discuss Problem Solving Plan using PPT - [[file:PAL Chapter 01.ppt]]
 * Discuss examples on pg 9-10
 * Use one example with the 4step plan pdf.[[file:4stepplan.pdf]]
 * Use the 4 Step Plan to solve problems 1-4 on 1-1 Practice: [[file:4stepplan.pdf]]

Opening Activity: Complete 5-Minute Check 1-2 on board.[[image:1-2.png]]

 * What You'll Learn:**
 * 1) Use the order of operations to evaluate expressions.
 * 2) Translate verbal phrases into numerical expressions.


 * Discuss Order of Operations - PEMDAS Review - [[file:PAL Chapter 01.ppt]]
 * Discuss examples on pg 14-16
 * Board work: Practice following order of operations using 1-2 Practice

Opening Activity - Complete 5-Minute Check 1-3 on board.



 * What You'll Learn: To evaluate expressions containing variables and to translate verbal phrases into algebraic expressions.**


 * What you'll do:**
 * DIscuss pages 17-21, including examples using ppt - [[file:PAL Chapter 01.ppt]]
 * Practice evaluating expressions and translating verbal phrases into expressions on the board.
 * Complete Practice 1-3, evens 2-20, all 21-26.

Opening Activity - Complete 5-Minute Check 1-4 on board.[[image:1-4.png]]



 * What You'll Learn: To identify and use properties of addition and multiplication and to use properties of addition and multiplication to simplify algebraic expressions.**


 * What you'll do:**
 * Discuss pg 23-27 using the ppt - [[file:PAL Chapter 01.ppt]]
 * Discuss Properties:
 * Commutative Property of Addition: a + b = b + a (The order in which numbers are added does not change the sum.)
 * Commutative Property of Multiplication a*b=b*a (The order in which numbers are multiplied does not change the product.)
 * Associative Property of Addition: (a+b)+c=a+(b+c) (The way in which numbers are grouped when added does not change the sum).
 * Associative Property of Multiplication: (a*b)*c=a*(b*c) (The way in which numbers are grouped when multiplied does not change the product).
 * Additive Identity: a+0=a or 0+a=a (When zero is added to a number, the sum is the number.)
 * Multiplicative Identity: a*1=a or 1*a=a (When a number is multiplied by 1, the product is the number.)
 * Multiplicative Property of Zero: a*0=0 or 0*a=0 (When a number is multiplied by zero, the product is zero.)
 * Symmetric Property of Equality: For any numbers a and b, if a=b, then b=a. (If one quantity equals a second quantity, then the second quantity also equals the first.) (Lesson 1-5)
 * Transitive Property of Equality: For any numbers a, b, and c, if a=b and b=c, then a=c. (If one quantity equals a second quantity and the second quantity equals a third quantity, then the first equals the third. (Lesson 1-5)
 * Complete Practice 1-4, 1-23 all

Opening Activity - Complete 5-Minute Check 1-5 on board.[[image:1-5.png]]

 * What You'll Learn: To identify and solve open sentences and to translate verbal sentences into equations.**


 * What you'll do:**
 * DIscuss pages 28-32, including examples using ppt -[[file:PAL Chapter 01.ppt]]
 * Practice solving equations and translating verbal phrases into equations on the board.
 * Complete Practice 1-5, odds 1-17, all 19-26.