What should I Learn?
Grade-3
Operations and Algebraic Thinking
Understand and know from memory how to multiply and divide numbers up to 10 x 10 fluently.
Solve word problems using addition, subtraction, multiplication, and division.
Begin to multiply numbers with more than one digit (e.g., multiplying 9 × 80).
Number and Operations-Fractions
Understand fractions and relate them to the familiar system of whole numbers (e.g., recognizing that 3/1 and 3 are the same number).
Number and Operations in Base Ten
Understand place value and properties of operations to perform multi-digit arithmetic, such as 10 x 2, 50 x 3, and 40 x 7.
Measurement and Data
Measure and estimate weights and liquid volumes, and solve word problems involving these quantities.
Tell time and write time to the nearest minute.
Recognize area as a quality of two-dimensional regions.
Understand that rectangular arrays can be broken into identical rows or into identical columns by breaking rectangles into rectangular arrays of squares, students connect area to multiplication, and explain how multiplication is used to determine the area of a rectangle.
Geometry
Reason about shapes (e.g., all squares are rectangles but not all rectangles are squares).
Find areas of shapes, and relate area to multiplication (e.g., why is the number of square feet for a 9-foot by 7-foot room given by the product 9 × 7?).
Understand the connection between equal parts of a shape being a unit of the whole.
Grade-4
Operations and Algebraic Thinking
Use whole-number arithmetic to solve word problems, including problems with remainders and problems with measurements.
Add and subtract whole numbers quickly and accurately (numbers up to 1 million).
Multiply and divide multi-digit numbers in simple cases (e.g., multiplying 1,638 × 7 or 24 × 17, and dividing 6,966 by 6).
Gain familiarity with factors and multiples.
Generate and analyze patterns.
Number and Operations-Fractions
Use equivalent fractions to understand and order fractions (e.g., recognize that 1⁄4 is less than 3⁄8 because 2⁄8 is less than 3⁄8).
Add, subtract, and multiply fractions in simple cases (such as 2 3⁄4 − 1 1⁄4 or 3 × 5⁄8), and solve related word problems.
Understand and compare simple decimals in terms of fractions (e.g., rewriting 0.62 as 62⁄100).
Number and Operations in Base Ten
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Measurement and Data
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Represent and interpret data.
Geometric measurement: understand concepts of angle and measure angles.
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Measure angles and find unknown angles in a diagram.
Grade-5
Operations and Algebraic Thinking
Write and interpret numerical expressions.
Analyze mathematical patterns and relationships
Number and Operations-Fractions
Add and subtract fractions with like and unlike denominators (e.g., 21⁄4 – 11⁄3), and solve word problems of this kind.
Multiply fractions; divide fractions in simple cases; and solve related word problems (e.g., find the area of a rectangle with fractional side lengths; determine how many 1⁄3-cup servings are in 2 cups of raisins; determine the size of a share if 9 people share a 50-pound sack of rice equally or if 3 people share 1⁄2 pound of chocolate equally).
Number and Operations in Base Ten
Understand the place value system.
Generalize the place-value system to include decimals, and calculate with decimals to the hundredths place (two places after the decimal).
Multiply whole numbers quickly and accurately, for example 1,638 × 753, and divide whole numbers in simple cases, such as dividing 6,971 by 63.
Measurement and Data
Convert like measurement units within a given measurement system.
Make a line plot to display a data set with fractional units of measure and interpret the data to solve problems.
Geometric measurement: Understand the concept of volume, and solve word problems that involve volume.
Geometry
Graph points on the coordinate plane to solve real-world and mathematical problems.
Classify two-dimensional figures into categories based on their properties.
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