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Just click on 4th grade or 5th grade. You can also peruse the standards and links below.

4.3G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.

4.4A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two digit number by a two-digit number; strategies may include mental math, partial products, and the commutative, associative, and distributive properties

4.4E represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations

4.5C use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w)

4.6A identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

4.6D classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size

4.7B illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that "cuts" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole numbers

4.7C determine the approximate measures of angles in degrees to the nearest whole number using a protractor

4.7E determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures

4.8A identify relative sizes of measurement units within the customary and metric systems

4.8B 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

4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

5.2(B) Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =;

5.2(C) Round decimals to tenths or hundredths.

5.3(A) Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;

5.3(B) Use strategies and algorithms, including the standard algorithm, to multiply with fluency a three-digit number by a two-digit number using the standard algorithm;

5.3(C) Use strategies and algorithms, including the standard algorithm, to solve with proficiency [fluency] for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;

5.3(D) represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;

5.3(E) solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;

5.3(F) represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;

5.3(G) Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm

5.3(H) Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;

5.3(I) Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;

5.3(J) Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction, such as 1/3 ÷7 and 7 ÷1/3 using objects and pictorial models, including area models

5.3(K) Add and subtract positive rational numbers fluently;

5.3(L) divide whole numbers by unit fractions and unit fractions by whole numbers.

5.10(A) Define income tax, payroll tax, sales tax, and property tax

5.10(B) Explain the difference between gross income and net income

5.10(C) Identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments

5.10(E) Describe actions that might be taken to balance a budget when expenses exceed income

Just click on 4th grade or 5th grade. You can also peruse the standards and links below.

__FOURTH GRADE__

4.2A interpret the value of each place-value position as ten times the position to the right at one-tenth of the value of the place to its left

4.2B represent the value of the digit in whole number through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals

4.2B represent the value of the digit in whole number through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals

4.2C compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols <, >, or =

4.2D round whole numbers to a given place value through the hundred thousands place

4.2E represent decimals, including tenths and hundredths, using concrete and visual models and money

4.2F compare and order decimals using concrete and visual models to hundredths

4.2H determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line

4.3A represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b>0, including when a>b

4.3B decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models recording results with symbolic representations

4.3C determine if two given fractions are equivalent using a variety of methods

4.3D compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, <, or =

4.3E represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations

4.3F evaluate 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

4.3G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.

4.4A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

4.4B determine products of a number and 10 or 100 using properties of operations and place value understanding

4.4C represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15X15

4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two digit number by a two-digit number; strategies may include mental math, partial products, and the commutative, associative, and distributive properties

4.4E represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations

4.4F use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor

4.4G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers

4.4H solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders

4.4H solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders

4.5A represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity

4.B represent 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

4.5C use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w)

4.6A identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

4.6D classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size

4.7A illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is "cut out" by the rays of the angle. Angle measures are limited to whole numbers

4.7B illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that "cuts" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole numbers

4.7C determine the approximate measures of angles in degrees to the nearest whole number using a protractor

4.7E determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures

4.8A identify relative sizes of measurement units within the customary and metric systems

4.8B 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

4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

4.9A represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions

4.9B 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

4.10B calculate profit in a given situation

4.10C compare the advantages and disadvantages of various savings options

4.10D describe how to allocate a weekly allowance among spending; saving, including for college; and sharing

4.10E describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending

4.10C compare the advantages and disadvantages of various savings options

4.10D describe how to allocate a weekly allowance among spending; saving, including for college; and sharing

4.10E describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending

**FIFTH GRADE**

5.2(A) Represent the value of the digit in decimals through the thousandths using expanded notation and numerals

5.3(B) Use strategies and algorithms, including the standard algorithm, to multiply with fluency a three-digit number by a two-digit number using the standard algorithm;

5.3(C) Use strategies and algorithms, including the standard algorithm, to solve with proficiency [fluency] for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;

5.3(D) represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;

5.3(E) solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;

5.3(F) represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;

5.3(G) Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm

5.3(H) Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;

5.3(I) Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;

5.3(J) Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction, such as 1/3 ÷7 and 7 ÷1/3 using objects and pictorial models, including area models

5.3(K) Add and subtract positive rational numbers fluently;

5.3(L) divide whole numbers by unit fractions and unit fractions by whole numbers.

**Algebraic Reasoning**

5.4(B) represent and solve multi-step problems involving the four operations (add, subtract, multiply, divide) with whole numbers using equations with a letter standing for the unknown quantity;

5.4(C) generate a numerical pattern when given a rule in the form y=ax or y=x + a and graph;

5.4(D) recognize the difference between additive and multiplicative numerical patterns given a table or graph,

5.4(F) simplify numerical expressions that do not involve exponents, including up to two levels of grouping;

5.4(G) use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V =Bh);

**Geometry and Measurement**

5.5(A) To classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.

5.6(A) recognize a cube with side length of one unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible;

5.6(B) determine the volume of a rectangular prism with whole number side length in problems related to the number of layers times the number of unit cubes in the area of the base.

5.7(A) To solve problems by calculating conversions within a measurement system, customary or metric.

5.8(A) Describe the key attributes of the coordinate plane , including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin

5.8(B) Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane

5.8(C) Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table

**Data Analysis**

5.9(A) Represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and- leaf plots

5.9(C) Solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot

**Personal Financial Literacy**

5.10(A) Define income tax, payroll tax, sales tax, and property tax

5.10(B) Explain the difference between gross income and net income

5.10(C) Identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments

5.10(E) Describe actions that might be taken to balance a budget when expenses exceed income

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