Due Monday, October 14: Hand in the following scored assignment. Section 4.3 problem 5, pages 229, 230; section 4.4 problem 2, pages 236, 237.
Due Wednesday, October 16: Read sections 4.5 and 4.6 and do all the exercises.
Due Friday, October 18: Hand in the following scored assignment. Section 4.5 problem 2, page 241, 242, with the following modification: you only need to describe 4 ways of breaking the pennies into groups, but for each way, write the corresponding expression for the total number of pennies. Your expression should use multiplication (taking care to use it as we have defined it), parentheses, and should only use the numbers 3, 4, and 5. Also hand in section 4.6 problem 4, page 250.
Due Monday, October 21: Read section 4.7 and do all the exercises.
Due Wednesday, October 23: Hand in the following scored assignment. Section 4.7 problem 6 page 269. Also hand in the following: Claire is fluent with the 1-times table, the 2-times table, the 3-times table, the 4-times table, and the 5-times table. Claire is having a hard time remembering 8x8. What are two different ways that Claire can figure out 8x8 from the tables she knows fluently? In each case, describe in words a method that Claire could use, write an equation corresponding to this method, and draw an array picture illustrating the method.
Due Friday, October 25: Hand in the following scored assignment:
1) Draw a picture that illustrates the equation
(3 + 4)x(2 + 5) = 3x2 + 3x5 + 4x2 + 4x5
Explain why your picture illustrates this equation.
2) Write a sequence of equations that use the distributive property several times and that prove that
(3 + 4)x(2 + 5) = 3x2 + 3x5 + 4x2 + 4x5
Relate your sequence of equations to your picture in (1).