1. 6-10 6 th grade math Using Integers

2. Objective To write and solve equations involving integers. Why? Writing equations and solving equations is continuing to add to the layer in the foundation of mathematics. You still must comprehend what the problem is asking you to do or solve.

3. California State Standards NS 2.3 : Solve addition, subtraction, multiplication, division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations. AF 1.1 : Write and solve one-step linear equations in one variable MR 2.5: Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work. MR 3.0: Move beyond a particular problem by generalizing to other situations.

4. How to Write an Equation Using Integers 1)Read the word problem. 2)Pick a strategy to solve the word problem- often used is to make a sketch. 3)Circle the question being asked. 4)Underline the relevant information. 5)Cross out or ignore unimportant information. 6)Identify the zero point and any negative numbers. 2) Solve or evaluate the equation. Follow all rules of Number Sense. 3) Simplify, if possible

5. Problem Solving Process Understand – Understand math vocabulary used – Sketch pictures and diagrams – Look for the main idea in the problem – Decide what the question is – Choose the needed information Plan – What do I need to get to the answer? – Which values are positive and which are negative? – How can the information be described in a mathematical sentence? » Continue to next slide

6. Problem Solving Process (continued) Solve: – Which operations will I use? – What other approaches can I use? Look Back: – Is my answer reasonable? – How can I check my answer?

7. How to Write an Equation Using Integers In the 1 st quarter of the football game, the Redhawks gained 7 yds on the first play and then lost 10 yds. On the third play they gained 8 yds. How many yards had the Redhawks gained or lost by the end of the three plays? In the 1 st quarter of the football game, the Redhawks gained 7 yds on the first play and then lost 10 yds. On the third play they gained 8 yds. How many yards had the Redhawks gained or lost by the end of the three plays?

8. Solve It! ? = What is the total yardage in 3 plays? Lost = - Gained = + +7, -10, +8 y = +7 + -10 + +8 y = +7 + +8 + -10 y = +15 + - 10 y = +5 yd. The team gained only 5 yd.

9. Try It! 1)The Bulldogs lost 12 yd on the first play, gained 5 yd on the second play, and lost 3 yd on the third play. How many yd had the Bulldogs gained or lost by the end of the 3 plays? The Bulldogs lost 12 yd on the first play, gained 5 yd on the second play, and lost 3 yd on the third play. How many yd had the Bulldogs gained or lost by the end of the 3 plays?

10. Try Another One! 2) The difference between the highest and lowest temperature in North Dakota is 181˚F. If the highest temperature is 121 ˚F, what is the lowest temperature? The difference between the highest and lowest temperature in North Dakota is 181˚F. If the highest temperature is 121 ˚F, what is the lowest temperature? 181 = 121 – t 121 – t = 181 121 – 121 – t = 181 – 121 -t = 60 t = -60 ˚F

11. Objective Review To write and solve equations involving integers. Why? You can now write equations and solve equations to continue to add to the layer in the foundation of mathematics. You still must comprehend what the problem is asking you to do or solve

12. Independent Practice Complete problems 3-7 Copy original problem first. Show all work! If time, complete Mixed Review: 8-9 If still more time, work on Accelerated Math.