Unit 3 The Unit Organizer Number Sense Understand ___________ NAME 4 BIGGER PICTURE DATE Number Sense 2 LAST UNIT /Experience CURRENT UNIT CURRENT UNIT 3 NEXT UNIT /Experience 1 Understand ___________ 8 UNIT SCHEDULE 5 UNIT MAP is about... Unit Launch Solving problems and justifying solutions by ____________ pairs in all four ____________. 6.11 R _________ using __________ and __________. 6.3C R 6.3D S _________ using __________ and __________. 6.3C R 6.3D S Unit 3 Test What is a zero pair? Before____ After____ How can I model integer operations? Before____ After____ What are each of the rules for integer operations? Before____ After____ How can I apply mathematical procedures to correctly solve integer operation problems? Before____ After____ What are the steps to graphing an ordered pair in any quadrant? Before___After___ * Would the integer rules be affected by using fractions and decimals? Before____ After___ 6 UNIT UNIT SELF-TEST QUESTIONS RELATIONSHIPS 7 Rating System: 1,2,3,4 1

Operations with integers is about solving problems and justifying solutions by: Multiplying/Dividing Integers using models and algorithms. Adding Integers using models and algorithms. Subtracting Integers using models and algorithms. Graphing ordered pairs in all four quadrants -4 + (-13) = 25 + (-18)= -83 + 100= 32 + 7= 15 + (-43)= -16 + 4= 6.23 + (-8) = (-4 ½ ) + (- 6.5) = -5 - (-18) = 55 - (-28)= -71 - 90= 23 - 6= 12 - (-32)= -19 - 7= -7.9 - 0.02= Create a model that represents the expression: 2 x (-3) 2(-5) = 50 ➗ -10= (-12)(-12)= -72 = -4 -4.5 x 20 = -½ / ⅔ = I Identify the point and quadrant for each ordered pair. (-2, 2) ( 3, 2) (-2, -2) ( 3, -1) ( 1, 5) (-4, -3) An ordered pair: ( , ) Quadrant 1 is ( , ) Quadrant 2 is ( , ) Quadrant 3 is ( , ) Quadrant 4 is ( , ) The rules for multiplying integers is____________________________________________________________________________________ The rules for dividing integers is_______________________________________________________________________________________ The rules for adding integers is________________________________________________________________________________________ The rules for subtracting integers is ____________________________________________________________________________________

Unit 3 Integer Operations (3 weeks): Readiness: 6.3D, 6.11 Supporting: 6.3C Process: 6.1A, 6.1B, 6.1C, 6.1D, 6.1E, 6.1F, 6.1G Pre-AP Suggestions: 7.2, 7.3A (Include operations with rational numbers) (3) Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to: (D) add, subtract, multiply, and divide integers fluently; and (11) Measurement and data. The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers. (3) Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to: (C) represent integer operations with concrete models and connect the actions with the models to standardized algorithms; PRE-AP: (2) Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers. (3) Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. The student is expected to: (A) add, subtract, multiply, and divide rational numbers fluently;

solving problems and justifying solutions by

integers using models and algorithms. 6.3C R 6.3D S

integers using models and algorithms. 6.3C R 6.3D S

Ordered pairs in all 4 Quadrants.

Adding & Subtracting Multiplying & Dividing

Graphing

What is a zero pair?

(2) How can I model integer operations?

(3) What are each of the rules for integer operations?

(4) How can I apply mathematical procedures to correctly solve integer operation problems?

(5) What are the steps to graphing an ordered pair in any quadrant?

(6) * Would the integer rules be affected by using fractions and decimals?

Adding and subtracting Multiplying and dividing graphing