1. Using English and Metric Measurements
Lesson Plan
Using English and Metric Measurements

2. Next Generation Science/Common Core Standards Addressed!
CCSS.Math.Content.8 .EE.A.4 - Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
CCSS.Math.Content.8.EE.B.5 - Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

3. Bell Work

4. Terms Metric system Unit equation Mile Pound Ounce Meter Kilometer
Yard
Liter
Gram
Klogram
Gallon
Acre
Hectare
Short ton
Fluid ounce

6. Student Objectives Explain English and metric linear measurement.
Explain English and metric area measurement.
Explain English and metric volume measurement.
Explain English and metric weight measurement.

7. English Linear Units 12 inches (in.) = 1 foot (ft.)
3 ft. = 1 yard (yd.)
16.5 ft. = 1 rod (rd.)
5.5 yd. = 1 rd.
320 rd. = 1 mile (mi.)
5280 ft. = 1 mile
1720 yd. = 1 mile
1 furlong (fur.) = 1/8 mile
1 furlong. = 660 ft.

8. Metric Linear Units 1 kilometer (km) = 1000 meters (m)
1 hectometer (hm) = 100 m
1 decameter (dam) = 10 m
1 decimeter (dm) = .1 m
1 centimeter (cm) = .01 m
1 millimeter (mm) = .001 m
1 m = 10 dm = 100cm =1000 mm

10. English–Metric Conversion Units
1 in. = 25.4 mm
1 in. = 2.54 cm
1 ft. = cm
1 ft. = mm
1 yd. = m
1 rd. = m
1 mi. = km
1 fur. = m
1 mm = in.
1 cm = in.
1 m = ft.
1 km = mi.

11. English Area Units
144 square inches (sq. in.) = 1 square foot (sq. ft.)
9 sq. ft. = 1 square yard (sq. yd.)
30.25 sq. yd. = 1 square rod (sq. rd.)
160 sq. rd. = 1 acre (A)
43,560 sq. ft. = 1 A
640 A = 1square mile (sq. mi.) = 1 section
36 sq. mi. = 1 township (twp.)

12. Metric Area Units 1 square centimeter (cm 2 ) =
100 square millimeters (mm 2 )
1 square decimeter (dm 2 ) = 100 cm 2
1 square meter (m 2 ) = 100 dm 2
10,000 m 2 = 1 hectare (ha)
1 m 2 = 10,000 cm 2
100 m 2 = 1 are (a)
100 a = 1 ha

14. English–Metric Conversion Units
1 sq. in. = cm2
1 sq. ft. = cm2
1 sq. yd. = m2
1 sq. mi. = 259 ha
1 sq. mi. = square kilometers (km 2)
1 sq. rd. = m2
1 A = a
1 A = ha
1 cm 2 = sq. in.
1 m 2 = 1549 sq. in.
1 m 2 = sq. ft.
1 m 2 = sq. yd.
1 ha = A
1 a = sq. yd.

15. English Volume Units Liquid Measurements
1 pint (pt.) = 16 ounces (oz.)
2 pt. = 1 quart (qt.)
4 qt. = 1 gallon (gal.)
31.5 gal. = 1 barrel (bbl.)
7.48 gal. = 1 cubic foot (cu. ft.)

16. English Volume Units Dry measurements
1 teaspoon (tsp.) = 1/6 fluid ounce (fl. oz.)
3 tsp. = 1 tablespoon (tbs.)
1 tbs. = ½ fl. oz.
1 cup (c.) = 8 fl. oz.
2 c. = 1 pt.
2 pt. = 1 qt.
8 qt. = 1 peck (pk.)
4 pk. = 1 bushel (bu.)
1 bu. = 1.25 cu. ft.

18. English Volume Units Dry Measurements
2 pt. = 1 qt.
8 qt. = 1 peck (pk.)
4 pk. = 1 bushel (bu.)
1 bu. = 1.25 cu. ft.

19. Metric Volume Units Solid volume:
1 cubic centimeter (cm 3 ) =
1,000 cubic millimeter (mm 3 )
1 cubic meter (m 3 ) = 1,000,000 cm 3
1,000 cm 3 = 1 cubic decimeter (dm 3 )
1,000 cm 3 = 1 liter (L)
1 cm 3 = 1 milliliter (ml)

20. Metric Volume Units Liquid volume
1 ml = .001 L
1 centiliter (cl) = .01 L
1 deciliter (dl) = .1 L
1 decaliter (dal) = 10 L
1 hectoliter (hl) = 100 L
1 kiloliter (kl) = 1000 L

21. English–Metric Liquid Conversion Units
1pt. = L
1qt. = L
1L = qt.
1gal. = L
1L = .264 gal.
1grain (gr.) = gram (g)
1oz. = 28.35g
1 pound (lb.) = 453.6g
1 lb. = kilogram (kg)
1g = gr.
1g = oz.
1kg = lb.
1 metric ton ( MT) = ton (T)

22. English Weight Units 437.5 gr. = 1 oz. 7,000 gr. = 1 lb.
16 oz. = 1 lb.
100 lb .= 1 hundredweight (cwt.)
2,000 lb. = 1 T
2,240 lb. = 1 long ton

23. Metric Weight Units 1 milligram (mg) = .0001 g 1 centigram (cg) =.01 g
1 decigram (dg) =.1 g
1 decagram (dag) = 10 g
1 hectogram (hg) = 100 g
1 kilogram (kg) = 1,000 g
1 MT = 1,000 kg

24. English–Metric Weight Conversion Units
1 gr. = g
1 oz. = g
1 lb. = g
1 lb. = kg
1 T = MT