1. USING FORMULAS TO SOLVE PROBLEMS LG: I can solve real-world problems by substituting values into formulas and solving.

2. INVESTIGATION These formulas give the height, h, of an adult. They rely on the lengths of the radius bone, r, and the femur bone, f. (Note: All measurements are in centimeters) A) predict the height of a female whose femur is 40.6 cm long MALEFEMALE Using the radius boneh = 3.65 r + 80.41h = 3.88 r + 73.50 Using the femur boneh = 2.24 f + 69.09h = 2.32 f + 61.41

3. INVESTIGATION These formulas give the height, h, of an adult. They rely on the lengths of the radius bone, r, and the femur bone, f. B) predict the height of a male whose radius is 28.1 cm long. MALEFEMALE Using the radius boneh = 3.65 r + 80.41h = 3.88 r + 73.50 Using the femur boneh = 2.24 f + 69.09h = 2.32 f + 61.41

4. INVESTIGATION These formulas give the height, h, of an adult. They rely on the lengths of the radius bone, r, and the femur bone, f. C) Complete the chart D) Which formula gave you the more accurate prediction? MALEFEMALE Using the radius boneh = 3.65 r + 80.41h = 3.88 r + 73.50 Using the femur boneh = 2.24 f + 69.09h = 2.32 f + 61.41 Length of yoursCalculation of your heightActual height Radius Femur

5. What is a formula? It’s a mathematical equation that relates two or more variables, which each represent real-world quantities. Can you think of any examples from work or school?

6. Example 1 – Substituting into a formula Pediatric nurses use Young’s formula, to calculate a child’s dose of medicine. C is the child’s dose in milligrams A is the adult’s dose in milligrams g is the child’s age in years. If the adult dose of a medication is 600 mg, what would be a 3-year-old’s dose?

7. Example 2 – Choosing Formulas and Converting Measures A landscaper uses a bucket with radius 18 cm and height 18 cm to pour soil into a rectangular planter that measures 1 m by 40 cm by 20 cm. How many buckets of soil are needed to fill the planter? OUR PLAN:

8. Investigation: How much do I need to eat? What is a BMR? Used to determine the amount of energy required by the body at rest. This value can then be adjusted depending on activity level Use the Harris-Benedict Equation to calculate your BMR You will need: Age in years Weight in kg (pounds x 2.2) Height in cm (measuring tapes available)

9. REARRANGING FORMULAS LG: I can rearrange a formula by “undoing” each operation LG: I can solve problems using rearranged formulas

10. MINDS ON To change a flat tire, FIRST, you have to take the old tire off, THEN, you have to put the new tire on. The process of removing the old tire is shown below. Put the new tire on by undoing each operation you completed to take the old tire off.

11. Applying this “undoing” to math

12. Example 1a – Isolating a Variable

13. Example 1b – Isolating a Variable

14. Example 1c – Isolating a Variable

15. Example 2

16. When should we do what? ISOLATE the variable THEN SUBSTITUTE in given values If you have to solve for the variable several times SUBSTITUTE in given values THEN SOLVE for the variable If the numbers are simple If rearranging the formula is really difficult

17. Example 3a – Solving problems with Powers

19. Quiz tomorrow! On these learning goals: I can solve real-world problems by substituting values into formulas and solving. I can rearrange a formula by “undoing” each operation. I can solve problems using rearranged formulas.