
 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 twodigit 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 4digit number by a 1digit number and to multiply a 2digit number by a 2digit number.
 Representation of the quotient of up to a 4digit whole number divided by a 1digit whole number using arrays, area models, or equations.
 To use strategies and algorithms, including the standard algorithm, to divide up to a 4digit dividend by a 1digit 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 twostep 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 multistep 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 inputoutput 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 twodimensional figure.
 Application of knowledge of right angles to identify acute, right, and obtuse triangles.
 To classify twodimensional 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 nonoverlapping 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 stemandleaf plot marked with whole numbers and fractions.
 To solve one and twostep problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stemandleaf 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.