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.
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 add decimals.
5.NBT.7: I can use properties of addition 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.4: I can quadrilaterals.
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.