math Lessons & Skills
PLACE VALUE
5.2 Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.
5.2 Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.
DECIMALS
5.2 A Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.
5.2 A Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.
COMPARING & ORDERING DECIMALS
5.2B Compare and order two decimals to thousandths and represent comparisons using
the symbols >, <, or =.
5.2B Compare and order two decimals to thousandths and represent comparisons using
the symbols >, <, or =.
ROUNDING
5.2C Round decimals to tenths or hundredths.
5.2C Round decimals to tenths or hundredths.
ADDING & SUBTRACTING DECIMALS
5.3A Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division
5.3E 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.
5.3K Add and subtract positive rational numbers fluently.
5.3A Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division
5.3E 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.
5.3K Add and subtract positive rational numbers fluently.
MULTIPLICATION
5.3B Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
5.3B Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
MULTIPLYING DECIMALS
5.3B Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
5.3D Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.
5.3B Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
5.3D Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.
DIVISION
5.3C Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.
5.3F 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.
5.3G 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.
5.3C Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.
5.3F 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.
5.3G 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.
PRIME & COMPOSITE NUMBERS
5.4A Identify prime and composite numbers.
5.4A Identify prime and composite numbers.
FRACTIONS
GREATEST COMMON FACTOR & SIMPLEST FORM
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LEAST COMMON MULTIPLE (DENOMINATOR)
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ADDING & SUBTRACTING FRACTIONS
5.3H 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.
Mixed numbers
MULTIPLYING FRACTIONS
5.3I 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.
5.3I 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.
DIVIDING FRACTIONS
5.3J 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.
5.3L Divide whole numbers by unit fractions and unit fractions by whole numbers.
5.3J 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.
5.3L Divide whole numbers by unit fractions and unit fractions by whole numbers.
ORDER OF OPERATIONS
5.4B Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
5.4E Describe the meaning of parentheses and brackets in a numeric expression.
5.4F Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
5.4B Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
5.4E Describe the meaning of parentheses and brackets in a numeric expression.
5.4F Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
PATTERNS IN TABLES
5.4C Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.
5.4D Recognize the difference between additive and multiplicative numerical patterns given in a table or graph.
5.4C Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.
5.4D Recognize the difference between additive and multiplicative numerical patterns given in a table or graph.
COORDINATES & ORDERED PAIRS
5.8C 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.
5.9B Represent discrete paired data on a scatter plot.
5.8C 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.
5.9B Represent discrete paired data on a scatter plot.
POLYGONS & QUADRILATERALS
PERIMETER & AREA
5.4H Represent and solve problems related to perimeter and/or area and related to volume.
5.4H Represent and solve problems related to perimeter and/or area and related to volume.
VOLUME
5.4G 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).
5.4G 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).