Moving with Algebra Sampler

13 Step 5c © MathTeachers Press, Inc. 1 Set of Integers A thermometer is a two-way scale. You can read numbers above zero and temperatures below zero.The numbers in a thermometer are exam- ples of integers. Set of Integers ( I ) Rule: Set of whole numbers and their opposites. I = {… – 2, – 1, 0, 1, 2, …} -2 -1 0 1 2 etc. etc. 2 is the opposite of – 2 because both numbers are the same dis- tance from 0.What is the oppo- site of – 1? Write the integer for each model or graph. 1. ________ 3. ________ 5. List the set of integers by roster. I = _________________________ 7. The temperature went from – 10° to + 15°.What was the change in tem- perature? _______ 2. ________ 4. ________ 6. Show the set of integers by drawing a graph. 8. The temperature at 6 a.m. was – 5°. The temperature went up 30° by noon.What was the temperature at noon? _______ -2 -1 0 1 2 -2 -1 0 1 2 9. What is the difference between the set of whole numbers and the set of integers? “20 degrees above zero” and “20 degrees below zero” are opposites. Opposite numbers are the same distance from zero. Navigating the Stages of Learning. Each lesson starts with a concrete, hands-on activity to introduce the mathematical concept and then guides students as they progress to increasingly abstract statements of the concept. Activities in the Student Book help students move from the hands-on under- standing of the concept to more abstract language and written expressions. Guided, Hands-On Learning Each lesson begins with the day’s learning objective and a list of materials needed. Companion page in the Student Activity Book provides the student with opportunities to explore and apply each concept. Hands-On Hands-on activities using manipulatives allow students to discover math concepts through experience. Program Overview CONCRETE REPRESENTATIONAL ABSTRACT