Grade 4 Math Syllabus (USA)

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1. Number and operations.

• Addition and subtraction of whole numbers and decimals to the hundredths place using the standard algorithm.
• Determination of the products of a number and 10 or 100 using properties of operations and place value understandings.
• Representation of the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares till 15 by 15.
• To use strategies and algorithms, including the standard algorithm, to multiply up to a 4-digit number by a 1-digit number and to multiply a 2-digit number by a 2-digit number. 
• Representation of the quotient of up to a 4-digit whole number divided by a 1-digit whole number using arrays, area models, or equations.
• To use strategies and algorithms, including the standard algorithm, to divide up to a 4-digit dividend by a 1-digit divisor.
• To round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.
• To solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

        Fractions:

• Representation of a fraction ‘a/b’ as a sum of fractions.
• To decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.
• To determine if two given fractions are equivalent using a variety of methods.
• Comparison of two fractions with different numerators and different denominators.
• To solve addition and subtraction of fractions with equal denominators.
• Evaluation of the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.
• Representation of fractions and decimals to the tenths or hundredths as distances from zero on a number line.

2. Algebraic reasoning

• Representation of multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.
• Representation of problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.
• To use models to determine the formulas for the perimeter of a rectangle (a+b+a+b or 2a+2b), including the special form for perimeter of a square (4s) and the area of a rectangle (a x b)
• To solve problems related to perimeter and area of rectangles with dimensions as whole numbers.

3. Geometry and measurement.

• Identification and drawing one or more lines of symmetry, if they exist, for a two-dimensional figure.
• Application of knowledge of right angles to identify acute, right, and obtuse triangles.
• To classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or of a specified size.
• To illustrate the measure of an angle as part of a circle
• To illustrate degrees as the units used to measure an angle.
• Determination of the approximate measures of angles in degrees to the nearest whole number using a protractor.
• To draw an angle with a given measure.
• To determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.

      Measurement of geometric figures:

• To identify the relative sizes of measurement units within the customary and metric systems.
• To convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table.
• To solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.

4. Data analysis.

• Representation of data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions.
• To solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.

5. Personal financial literacy.

•  To distinguish between fixed and variable expenses.
• To calculate profit in a given situation.
• Comparison of the advantages and disadvantages of various savings options.
• To describe how to allocate a weekly allowance among spending; saving, including for College; sharing.
• To describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.