Theme: Solving for the unknown? Unit Title: Introduction to Integers Essential Question: Why is location important? Pre-Assessment Date: Summative Assessment Dates: 9/2/08- 9/19/08 Mon/Tues, 9/2 Section 4.1 page 167 NS 1.1 Wed, 9/3 Section 4.2 page 171 NS 2.3 AND AF 1.4 Thurs/Fri, 9/4-9/5 Section 4.3 page 177 NS2.3 Content: Content: Content: • • • integers and the number line Integers in real life Integer activities Focus Question: How do we place numbers? Objective: Students will order integers, graph them on the number line, and construct class number lines. • Positive and negative numbers Focus Question: What does the location of a number mean? Objective: Students will graph positive and negative numbers, discuss the difference between them, and analyze the relationship between number classifications. Ideas: • Hook- Bird movie on Monsters Inc. • Number line on the floor that students create. • Students given numbers and order themselves (creating a number line) • Hook: Shopping Spree • Thermometer/ weather around the world. Ideas: • Sorting Hat • Integer Race- have students go around room and collect as many positive and or negative integers and see who has the greatest number. • Number line string (students place • Venn Diagram • Digging for meaning. ©Copyrighted by Center for Math and Science Teaching (CMAST) Unauthorized use or duplication is an infringement of copyright regulations MAST Module 1, 2, 3 • • Integer addition Absolute value Focus Question: How does the location of a number change when you add two unrelated numbers? Objective: Students will identify opposites, use them to discover the additive inverse property, and simplify addition problems involving 2 or more integers. Ideas: • (song to the tune of row row your boat): Same sign add and keep/ different sign subtract/take the sign of the higher number/then it will be exact. • Blue/red manipulative • Hook: mix-match-freeze: opposites • Number line EXTRA SUPPORT : CHAPTER 5 VARIABLE EXPRESSIONS. SECTION 5.1 PAGE 217 AF 1.2 AND NS 2.0 EXTRA SUPPORT EXTRA SUPPORT CHPATER 5 VARIABE EXPRESSIONS. SECTION 5.3 PAGE 228 AF 1.1 SECTION 5.2 PAGE 221 AF 1.1 AND NS 2.0 Mon/Tues, 9/8-9/9 Section 4.4 page 181 NS2.3 Wed, 9/10 Section 4.5 page 188 Section 4.6 page 193 NS 2.3, AF 1.2, SDP 1.1 Content: • • Integer subtraction Relationship between addition and subtraction. Focus Question: How does subtraction become addition? Objective: Students will determine the difference between addition and subtraction, simplify problems using subtraction of integers, and manipulate numbers to prove that subtraction problems can become the addition of a negative number. Thurs/Fri, 9/11-9/12 Section 4.8 page 202 NS 1.1 Content: Content: • • Integer Multiplication Integer Division Focus Question: How is addition, multiplication, division related and how do they help each other? Objective: Students will view multiplication as the process of serial addition, discover the rules of integer multiplication, and use them to simplify problems. Students hypothesize the rules for integer division, compare and contrast their thoughts with the actual rules, and then use those rules to simplify problems. ©Copyrighted by Center for Math and Science Teaching (CMAST) Unauthorized use or duplication is an infringement of copyright regulations MAST Module 1, 2, 3 • Graphing and comparing positive and negative numbers. Focus Question: How do we place other types of numbers? Objective: Students will graph and compare other numbers such as positive and negative fractions, decimals and mixed numbers. Ideas: • Tic Toc • Money (debt) • What is positive and negative. Create your own picture of a positive and negative integer. (example, dive, climb mount Everest) allow students to come up with their own problems. Ideas: Hook-> serial addition – multiplication (positive integers) • ABC: same including all integers • Establish connection between subtraction and division • Showing graph, analyze and predict. EXTRA SUPPORT : CHAPTER 5 VARIABLE EXPRESSIONS. SECTION 5.4 PAGE 233 AF 1.1 EXTRA SUPPORT CHPATER 5 VARIABE EXPRESSIONS. SECTION 5.3 PAGE 228 AF 1.1SECTION 5.5 AND 5.6 PAGE 239 AF 1.1 ©Copyrighted by Center for Math and Science Teaching (CMAST) Unauthorized use or duplication is an infringement of copyright regulations MAST Module 1, 2, 3 • Have students display different ways of writing a number. EXTRA SUPPORT CHAPTER 1—DECIMALS SECTION 1.5 PAGE 21 NS 1.1 CHAPTER 3—FRACTIONS PAGE 110 Mon/Tues, 9/15-9/16 Section 10.1 page 453 SDP 1.1 Wed, 9/17 ALL Content: • Thurs/Fri, 9/18-9/19 FORMATIVE ASSESSMENT Project Content: • Find the mean Focus Question: Can one number represent a group of numbers? Objective: Students will be able to find the mean of a group of numbers. Ideas: • • Sort things from largest to smallest. Shrek Video clip on sizes. Focus Question: Why is your location important? Objective: Students will gather information about their lives and create a timeline. Their birth date will be zero on a timeline and they will plot down special events. Timeline will include positive and negative numbers. Ideas: Create a timeline of places you will go: high school, college, countries, etc. ©Copyrighted by Center for Math and Science Teaching (CMAST) Unauthorized use or duplication is an infringement of copyright regulations MAST Module 1, 2, 3 Ideas: