Hicks, Lindsey: Learning Resource
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Elementary Mathematics
The District's elementary math curriculum is based on The Curriculum Focal Points published by The National Council of Teachers of Mathematics. The curriculum guides teachers on the content and depth of study warranted at each grade level.
The program the District has chosen to deliver this curriculum is the text book series, Primary Mathematics, written by the Ministry of Education in Singapore and published by Marshall Cavendish. The program is designed to equip students with sound concept development, critical thinking and efficient problem-solving skills. In Primary Mathematics, concepts are presented in a clear and sequential way to facilitate understanding and confidence.
The program uses a methodology that proceeds from concrete to pictorial to abstract. Students first encounter mathematical concepts through the use of objects, and then move on to the pictorial stage in which pictures are used to model problems. When students are familiar with the ideas taught, they progress to a more advanced or abstract stage in which only number, notation, and symbols are used. This approach enables students to translate mathematical skills from the concrete to the abstract, and to understand mathematical concepts before learning the procedures and formulas.
Primary Mathematics emphasizes math facts, develops strong problem-solving skills, and meets the needs of a range of learners, from those who need more support to those who need a more rigorous level of challenge.
Kindergarten
In Kindergarten, children spend considerable time developing a sense of number. They learn to:
- count by ones, two, fives, and 10s
- compare and order numbers
- explore the concepts of addition, subtraction, multiplication and division
- investigate beginning geometric and measurement concepts
- explore number patterns
- work with money and time
- collect and record data
First Grade
In grade one, students continue to develop the concept of number, exploring numbers to 100. They learn to:
- work with ones and 10s in place value
- represent and estimate numbers and quantities
- compare and order larger numbers
- develop fluency with addition and subtraction facts
- continue to work with addition and subtraction
- investigate the concepts of multiplication and division
- continue work in geometric shapes and measurement
- understand fractions in halves and fourths
- continue to work with money and time
- collect and record data
Second Grade
In grade two, students learn:
- numbers and place value to 1000
- addition and subtraction with and without renaming
- methods of mental addition and subtraction
- measurement concepts of length, weight and capacity
- multiplication and division
- fractions - halves, quarters and fractions of a set
- time - elapsed time and intervals
- tables and graphs
- geometry - composing and decomposing shapes
- money - addition and subtraction
- beginning algebra - finding unknowns
Third Grade
In grade three, students learn:
- numbers and place value to 10,000
- mental methods of addition and subtraction
- multiplication and division facts to 10
- multiplication and its relationship to division
- data analysis and probability
- fraction equivalencies
- fractions of a whole
- adding and subtracting fractions with like denominators
- money - multiplication, division and fractions
- measurement - length, weight and capacity, geometry - angles and triangles
Fourth GradeIn grade four, students learn:- numbers and place values to 1,000,000
- factors and multiples
- the four operations of whole numbers, concentrating on multiplication of multi-digit numbers
- fractions - adding and subtraction with like and related denominators
- fractions of a set
- the four operations of decimals
- coordinate graphs
- data analysis and probability
- area and perimeter of regular shapes
- measures and volume
- geometry - plane figures, solids and nets
Fifth Grade
In grade five, students learn:
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numbers and place values to 1,000,000,000
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multiplying and dividing by powers of ten
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factors and multiples
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division with two- and three-digit numbers
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fractions - comparing, fractions of a set, adding and subtracting with unlike denominator, multiplying and dividing
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area and perimeter of regular and irregular shapes
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angles
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percentage
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volume of rectangular prisms