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.


    • 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.