Lesson 1- Basic Math for High School.pptx

Basic Math

1. Add and Subtract Integers Learning Objective: We will add and subtract positive and negative integers. Math NS 1.3

2. What do we already know? Positive integers are on the right side of zero. 4 Negative integers are on the left side of zero. -4 This means that they are opposites. -3 + 3 = 0 Positive Negative

3. 5 + -2 = 3 5 -2 You know how to plot an expression on the number line and find the sum. Step 1: Plot the first integer on the number line. Step 2: Plot the second integer on the number line beginning where the last number left off.

4. You know how to plot an expression on the number line and find the difference. 5 + -2= 5 -2 3 Step 1: Plot the first integer on the number line. Step 2: Plot the second integer on the number line beginning where the last number left off.

5. You know how to plot an expression on the number line and find each sum. -3 + -1 = - 4 -1 -3 Step 1: Plot the first integer on the number line. Step 2: Plot the second integer on the number line beginning where the last number left off.

6. You already learned that subtracting a negative integer gives the same solution as adding its opposite.

7. Vocabulary Define integers : a positive or negative number. Define a positive integer : whole numbers to the left of zero. Define a negative integer : whole numbers to the right of zero. positive negative

8. Vocabulary Define absolute value : the distance from zero. Plot each of the integers below on a number line and then tell the absolute value of each. -1 2 -5 (1) (2) (5) -1 2 -5

9. You already learned that subtracting a negative integer gives the same solution as adding its opposite. To help predict whether the sum of two integers will be positive or negative, you can use these rules.

10. 1st Variation Is the sum of 2 and 7 positive or negative? Rule: The sum of two positive integers is positive. 2+7= Solution: The sum of 2 and 7 is positive. 2 7 9 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off.

11. 2nd Variation Is the sum of -2 and -7 positive or negative? Rule: the sum of two negative integers is negative. -2 + -7= Solution: The sum of -2 and -7 is negative. -2 -7 -9 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off.

12. 3rd Variation Is the sum of -2 and 7 positive or negative? Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. -2 + 7= Solution: The sum of -2 and 7 is positive. -2 7 5 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off.

13. Why is this important? If the temperature was 10ｰF at lunch time and dropped to - 5ｰF in the evening. What is the difference between these temperatures? 10 - -5= 15 degrees Mauricio were at the corner store. Mauricio forgot his money and needs $10 to pay for his treats. If Omar let Mauricio borrow $10, Mauricio now has $10. - $10 + $10 = 0

14. Guided Practice - I Do It Rule: The sum of two positive integers is positive. 1 + 4= 1 4 5 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of 1 and 4 is positive.

15. Guided Practice - We Do It Rule: The sum of two positive integers is positive. 5 + 3= 5 3 8 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of 5 and 3 is positive.

16. Guided Practice - You Do It Rule: The sum of two positive integers is positive. 7 + 3= 7 3 10 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of 7 and 3 is positive.

17. Guided Practice - I Do It Rule: the sum of two negative integers is negative. -2 + -3= -2 -3 -5 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of -2 and -3 is negative.

18. Guided Practice - We Do It Rule: the sum of two negative integers is negative. -1 + -4= -1 -4 -5 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of -1 and -4 is negative.

19. Guided Practice - You Do It Rule: the sum of two negative integers is negative. -4 + -6= -4 -6 -10 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The sum of -6 and- 4 is negative.

20. Guided Practice - I Do It Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. 4 - -2= 4 + 2= 6 4 2 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The difference of 4 and -2 is positive .

21. Guided Practice - We Do It Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. 4 - -6= 4 + 6= 4 6 10 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The difference of 4 and -6 is positive.

22. Guided Practice - You Do It Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. 3 - -7= 3 + 7 = 3 7 Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off. Solution: The difference of 3 and -7 is positive. 10

23. Closure What is a whole number to the right of zero? It is a positive integer. What is a whole number to the left of zero? It is a negative integer What is the distance from zero? It is the absolute value. Negative Positive

24. Closure Decide if the sum or difference is positive or negative. Explain how you decided. Solve the expression. -10 + -6 = 8 - -6= Share with your partner one thing that you learned today.

25. Step 1: Change the expression to an addition by using the absolute value. Step 2: Plot the first integer on the number line. Step 3: Plot the second integer on the number line beginning where the last number left off.