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# Goals of elementary mathematics

## by Julius Sarmiento Antonio, Professional Teacher at Tutors' House Study Center on Dec 05, 2010

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presentation on Principles of Teaching 2

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## Goals of elementary mathematicsPresentation Transcript

• GOALS OF ELEMENTARY MATHEMATICS
• 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
• 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.)
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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)
• 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
• 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
• 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,
• 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
• 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
• 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
• 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
• Thank you for your cooperation