presentation on Principles of Teaching 2

1. GOALS OF ELEMENTARY MATHEMATICS

2. 1st Grade Math

3. Number Read, print, locate, compare, order, represent, estimate, identify numbers to 100 and mentally add numbers to 10 Count by 2's, 5's and 10's to one hundred, count backwards from any given point from 100 Understand number conservation - 6 pennies is represented by a 6 etc. Understand ½ and use the term applied to every day situations Recognize coins, add pennies and take away pennies

4. Measurement Use and understand more than, less than, the same as, heavier than, lighter than, taller than etc. Tell time to the half and full hour with both analog and digital clocks Compare objects by several attributes and classify them (red small squares, red large triangles etc.) Understand temperature differences outside and inside, colder weather and hotter weather Measure items with non-standard units of measure (pencil lengths, finger widths etc.)

5. 2ndGradeMath

6. Number Read print numbers to 20 and locate, compare, order, represent, estimate, identify numbers to 1000 and mentally add and subtract numbers to 20 Understand Place Value to be able to trade 10 one's for a ten etc. Count by 1's, 2's, 5's, 10's beyond 100. Locate numbers when requested to 1000 Understand the reverse properties of whole numbers 5+7 is the same as 7+5

7. Measurement Use and understand more than, less than, the same as, heavier than, lighter than, taller than etc. Measure with a variety of cups, rulers and measuring spoons Time - hours, minutes and seconds Use the terms inches, feet, yards, centimeters, meters etc. Know the months of the year and tell time to the quarter hour Use a thermometer and count money to a dollar including being able to create different sets that equal a dollar

8. 3rd Grade Math

9. Number Read print numbers to 1000 and locate, compare, order, represent, estimate, identify numbers to 1000 Mentally add and subtract numbers to 20 Understand Place Value to be able to regroup numbers up to 1000 Count by 1's, 2's, 5’s, 10's and 25's beyond 1000 Understands the basic fractions Locate numbers when requested to 1000

10. Add and subtract four digit numbers (with carrying/regrouping) Multiplication and division facts up to facts of 7, well on your way to memorizing these facts Count by skipping numbers when requested Add and subtract coins up to $10.00 Identify money amounts from words to numbers Compute word problems with addition and subtraction, multiplication and division

11. Measurement Use and understand linear measurement terms (inches, feet, yards, centimeters, meters etc.) Measure with a variety tools and make relatively accurate estimations Time - hours, minutes and seconds, read and record on both analog and digital Measure temperatures accurately Make appropriate change in money concepts Measure perimeter and capacity in a variety of shapes and containers Compare a variety of measurement tools

12. 4th Grade Math

13. Numbers Read print numbers to 10 000 and locate, compare, order, represent, estimate and identify numbers to 10 000 Count by 3's, 4's, 6's, 7's, 8's, 9's, and 10's to 100 Multiplication facts are committed to memory up to the 10 X tables. (Understand the division facts also) Understand decimals to the hundredths 0.01 and be able to add and subtract decimals. Demonstrate an understanding of fractions. Select the appropriate problem solving methods in word problems for the above operations

14. Measurement Complete understanding of inches, feet, yards, miles, millimeters, centimeters, meters, kilometers etc. Measure accurately, and make appropriate estimations of which units of measure apply. Full understanding of years, decades, centuries, millenniums. Full comprehension of making change and adding money up to $50.00 Measure perimeter and area and be able to measure a variety of polygons. Measure mass and volume by selecting the appropriate units

15. 5th Grade Math

16. Numbers Read print numbers to 100 000 and locate, compare, order, represent, estimate and identify numbers to 100 000 using regular and expanded forms Full understanding of place value to the right and left of 0 - 4 places Count by 3's, 4's, 6's, 7's, 8's, 9's, and 10's, 11's and 12's to 144 Multiplication facts are committed to memory up to the 12 X tables(Understand the division facts also)

17. Understand decimals to the thousandths 0.013 and be able to add and subtract decimals. Demonstrate a solid understanding of fractions and their related decimals to 100dths. Multiply and divide decimals Communicate mathematical thinking in problem solving - selecting the appropriate strategies Select the appropriate problem solving methods in word problems for the above operations

18. Measurement Complete understanding of inches, feet, yards, miles, millimeters, centimeters, meters, kilometers and apply these terms to problem solving activities Measure accurately, and make appropriate estimations of which units of measure apply. Construct or illustrate items using a variety of units of measure

19. Estimate and round accurately Read and write dates using a variety of methods (Jan. 10, 2002, 01/10/02 etc.) Money amounts to $1000.00 in making change and in problem solving Investigate and solve measurement problems with circumference, perimeter, volume,

20. 6th Grade Math

21. Number Recognize numbers from 0.001 to 1 000 000 and locate, compare, order, represent, estimate and identify numbers to 1 000 000 using regular and expanded forms Full understanding of place value to the right and left of 0 - 4 places Understanding of fractions, decimals, mixed numbers and improper fractions with a comprehension of greater than and less than concepts

22. Ability to compare and order all of the above Understanding of ratio, rate, rounding and percentages Identify multiples, factors, composites and prime numbers to 100, mental division and multiplication of numbers with 0's Identify and use integers around them Perform multi-step word problems involving all of the above

23. Measurement Complete understanding of inches, feet, yards, miles, millimeters, centimeters, meters, kilometers and apply these terms to problem solving activities Use and understand all prefixes of measurement terms Understand and use squared units and cubed units along with linear measures

24. Be able to make conversions between units - inches to feet etc. Select the appropriate units of measurement in problems Read and write dates using a variety of methods (Jan. 10, 2002, 02/10/02 etc.) Money amounts to $10,000.00 in making change and in problem solving Investigate measures of circumferences, parallelograms, rectangles, triangles and be able to sketch shapes Calculate the volume of prisms (rectangular) and understand the rules for calculating volumes and prisms

25. Thank you for your cooperation