Activating Prior Knowledge – Module Page 61 Use long division to find the decimal expansion of 35 11 .
Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Objective: Today, we will develop and alternate method for computing the decimal expansion of a rational number. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. To start, let’s determine which two integers the fraction is between. We know that 35 11 is between 3 and 4 because 35 11 = 33 11 + 2 11 =3+ 2 11 . ? ? ? CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development ? ? CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. So here’s what we have so far: 35 11 = ? ? CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development ? CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. So now we have, 35 11 = ? CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. CFU
Concept Development CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Concept Development Module Pg. 61 Example 1 (revisited): Let’s see if we can come up with the decimal expansion of 35 11 without using long division. So the decimal expansion of 35 11 to 3 decimal places is 3.181. CFU
Guided Practice Exercise 1: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 1: CFU
Guided Practice Exercise 1con’t: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 1con’t: CFU
Guided Practice Exercise 1con’t: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 1con’t: CFU
Guided Practice Exercise 2: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 2: CFU
Guided Practice Exercise 2 con’t: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 2 con’t: CFU
Guided Practice Exercise 2 con’t: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 2 con’t: CFU
Guided Practice Exercise 2 con’t: CFU Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Guided Practice Module Pg. 62 Exercise 2 con’t: CFU
Independent Practice – Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Independent Practice – Module Pg. 62 Complete Exercise 3 with a partner (5 min): CFU
Independent Practice – Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Independent Practice – Module Pg. 62 Complete Exercise 3 with a partner (5 min): CFU
Independent Practice – Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Independent Practice – Module Pg. 62 Complete Exercise 3 with a partner (5 min): CFU
Independent Practice – Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Independent Practice – Module Pg. 62 Complete Exercise 3 with a partner (5 min): CFU
Closure – Homework: Problem Set 1 – 5 page 64. Module 7 Lesson 12: Decimal Expansions of Fractions, Part 2 Closure – What did you learn? Why is it important? When comparing rational approximation to long division, what do you notice? Homework: Problem Set 1 – 5 page 64. You must complete homework on a separate sheet of paper to receive credit. CFU