• The order in which we do the chapters are taught is determined according to the skills needed, not necessarily in numerical order. Please refer to the list below to determine the order of the chapters. If you have any questions, please do not hesitate to contact me. Thank you! :)

Chapter 1: Place Value

Vocabulary:
Place Value: the value of a digit based on its position in the number.
Standard Form:The common way of writing a number using digits.
Expanded Form: A way to write numbers that shows the place value the digit.                                                                               Word Form: A way of using words to write a number.
Period: in a large number, periods are the groups of 3 digits separated commas or spaces.
Decimal Notation: a number containing a decimal point.

Standards:
5.NBT.1: I can recognize that a digit in one place is 10 times bigger than its neighbor to the right.
5.NBT.3: I can compare two decimals using <,>, and =.
5.NBT.3: I can read and write decimals using base-ten of numerals.
5.NBT.3: I can read and write decimals using expanded form.
5.NBT.3: I can read and write decimals using number names.

Chapter 2: Multiply Whole Numbers

Vocabulary:
Base: the number used as a factor.
Compatible Numbers: numbers that "get along" with each other work together.
Cubed: a number raised to the third power.
Distributive Property: Allows you to multiply a sum by a number. Multiply each addend by the number and then add.
Exponent: indicates how many times the based is used as a factor.
Power: a number expressed using exponents.
Power of 10: includes numbers like 10, 100, and 1,000 using exponents.
Prime Factorization: a way of expressing a composite number as a product of its prime factors.
Property: is a rule in mathematics that can be applied to all numbers.
Squared: a number raised to the second power.

Standards:
5.NBT.2: I can use patterns to multiply a number by a power of 10.
5.NBT.5: I can use partial products to multiply by two numbers.
5.NBT.5: I can use the Distributive Property to multiply whole numbers.
5.NBT.5: I can estimate the product of two whole numbers.
5.NBT.5: I can use the standard algorithm to multiply by two-digit numbers.

Chapter 3: Divide by a One-Digit Divisor

Vocabulary:
Dividend: A number that is being divided.
Divisor: The number that divides the dividend.
Fact Family: A group of related facts that use the same numbers.
Partial Quotients: A dividing method in which the dividend is separated into addends that are easy to divide.
Quotient: The result of a division problem.
Remainder: The number that is left over after one whole number is divided by another.
Unknown: A missing value.
Variable: A letter or symbol used to represent an unknown quantity.

Standards:
5.NBT.6: I can use fact families to help me divide.
5.NBT.6: I can illustrate and explain calculations by using equations, rectangular arrays, and/or area models.
5.NBT.6: I can use strategies based on place value and the properties of operations to solve division problems.

Chapter 4: Divide by a Two-Digit Divisor

Vocabulary:
Dividend: A number that is being divided.
Divisor: The number that divides the dividend.
Fact Family: A group of related facts that use the same numbers.
Partial Quotients: A dividing method in which the dividend is separated into addends that are easy to divide.
Quotient: The result of a division problem.
Remainder: The number that is left over after one whole number is divided by another.
Unknown: A missing value.
Variable: A letter or symbol used to represent an unknown quantity.

Standards:
5.NBT.6: I can divide by a two-digit divisor.
5.NBT.6: I can illustrate and explain calculations by using equations, rectangular arrays, and/or area models.
5.NBT.6: I can use rounding to adjust the quotient with a two-digit divisor.

Chapter 5: Add and Subtract Decimals

Vocabulary:
Associative Property of Addition: The way in which numbers are grouped does not change the sum.
Commutative Property of Addition: The order in which numbers are added does not change the sum.
Identity Property of Addition: The sum of any number and 0 equals the number.
inverse operations: Operations that undo each other.

Standards:
5.NBT.4: I can use place value to round numbers.
5.NBT.7: I can use models to add decimals.
5.NBT.7: I can use models to subtract decimals.

Chapter 6: Multiply and Divide Decimals

Vocabulary:
Associative Property of Multiplication: The way in which factors are grouped does not change the product.
Commutative Property of Multiplication: The order in which factors are multiplied does not change the product.
Identity Property of Multiplication: The product of any factor and 1 equals the factor.

Standards:
5.NBT.7: I can use models to multiply decimals.
5.NBT.7: I can multiply decimals.
5.NBT.7: I can use properties of multiplication to multiply whole numbers and decimals.
5.NBT.7: I can estimate quotients involving decimals.
5.NBT.7: I can divide a decimal by a whole number.

Chapter 9: Add and Subtract Fractions

Vocabulary:
Like Fractions: Fractions that have the same denominators.
Unlike Fractions: Fractions that have different denominators.

Standards:
5.NF.1: I can add and subtract unlike fractions.
5.NF.1: I can add and subtract mixed numbers.
5.NF.2: I can use fraction tiles to model the sum of fractions.
5.NF.2: I can add and subtract like fractions.
5.NF.2: I can estimate the sum and difference of mixed numbers.

Chapter 10: Multiply and Divide Fractions

Vocabulary:
Scaling: The process of resizing a number when it is multiplied by a unit fraction that is greater than or less than 1.
Unit Fraction: A fraction with a numerator of 1.

Standards:
5.NF.4a: I can multiply a whole number and a fraction.
5.NF.4a I can multiply fractions without using models.
5.NF.4b: I can multiply fractions.
5.NF.6: I can solve word problems involving mixed numbers.
5.NF.7b: I can divide a whole number by a unit fraction.

Chapter 8: Fractions and Decimals

Vocabulary:
Common Factor: Factors shared by two or more numbers.
Common Multiple: Multiples that are shared by two or more numbers.
Denominator: Represents the number of parts in the whole (bottom number in a fraction).
Equivalent Fractions: Fractions that name the same number.
Fractions: A number that names equal parts of a whole or parts of a set.
Greatest Common Factor (GCF): The greatest of the common factors of two or more numbers.
Least Common Denominator (LCD): The LCM of the denominators of the fractions. The LCD can be used to compare fractions.
Least Common Multiple (LCM): The least multiple, other than 0, common to sets of multiples.
Multiple: The product of the number and any other whole number (0, 1, 2, 3, 4, ...).
Numerator: The number of parts represented (top number in a fraction).
Simplest Form: A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.

Standards:
5.NF.3: I can use visual fraction models or equations to help me solve fraction problems using division.
5.NF.3: I know that a fraction is just a division problem where the numerator is being divided by the denominator.
5.NF.5b: I can write fractions in simplest form.
5.NF.5b: I can compare fractions with unlike denominators.
5.NF.5b: I can use models to write a fraction as a decimal.

Chapter 12: Geometry

Standards:
5.G.3: I can classify triangles.
5.G.3: I can use attributes to describe two-dimensional figures.
5.G.4: I can classify triangles.
5.G.4: I can classify polygons.
5.G.5: I can find the volume of prisms.

Chapter 7: Expressions and Patterns

Vocabulary:
Coordinate Plane: A plane that is formed when two number lines intersect at a right angle.
Evaluate: To find the value of a numerical expression by completing each operation.
Numerical Expression: A combination of numbers and at least one operation, such as 9-4.
Ordered Pair: A pair of numbers that is used to name a point on a coordinate plane.
Order of Operations: The order in which operations on numbers should be done: parenthesis, exponents, multiply, divide, add, subtract.
Origin: The point on a coordinate plane where the vertical axis meets the horizontal axis.
Sequence: A list of numbers that follows a specific pattern.
Term: A number in a pattern or sequence.
X-Coordinate: The first part of an ordered pair that shows how far away from the y-axis the point is.
Y-Coordinate: The second part of an ordered pair that shows how far away from the x-axis the point is.

Standards:
5.OA.1: I can use the order of operations to simplify expressions.
5.OA.2: I can write verbal phrases as mathematical expressions.
5.OA.3: I can describe and extend number patterns.
5.G.1: I can name ordered pairs for points on a coordinate plane.
5.G.2: I can compare numerical patterns graphically.