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3-5 Mathematics

At the Garrison School, we use the enVision math series. This series combines problem-based learning with visual learning. This helps students gain a deeper understanding of math concepts with visual models and scaffolds built into the program. There are many real life examples of how math is used around us.

In third grade, students will represent and solve problems involving multiplication and division. They will understand the properties of multiplication and the relationship between multiplication and division. They will multiply and divide within 100. Students will represent and interpret data. They will understand concepts of area and relate area to multiplication and division. They will use place value understanding and properties of operations to perform multi digit arithmetic. The students will solve problems involving the four operations, and identify and explain patterns in arithmetic. They will develop an understanding of fractions as numbers. Students will reason with shapes and their attributes. The domains used in grade three include Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations in Fractions, Measurement and Data, and Geometry.

In the fourth grade, students generalize place value understanding for multi-digit whole numbers. They use place value understanding and properties of operations to perform multi digit arithmetic. Students will use the four operations with whole numbers to solve problems. Students will gain familiarity with factors and multiples. They will build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Students will represent and interpret data. They will solve problems using measurement and conversion of measurements from a larger unit to a smaller unit. In Geometry, they will understand concepts of angle and measure the angles. The domains in grade four include Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations in Fractions, Measurement and Data, and Geometry.

In fifth grade students will understand the place value system and will perform operations with multi-digit whole numbers and with decimals to the hundredths. Students will use equivalent fractions as a strategy to add and subtract fractions. They will also apply and extend previous understandings of multiplication and division to multiply and divide fractions. Students will understand concepts of volume and relate volume to multiplication and division. Students will convert like measurement units within a given measurement system. Students will interpret numerical expressions and analyze patterns and relationships. The domains covered in grade five include Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations in Fractions, Measurement and Data, and Geometry.

NYS Mathematics Standards

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