Full Course

#### Description:

This collection includes lessons on numbers and operations for fifth grade math. All of the lessons are designed using the H.O.P. Centers Framework which is a centers-based system of differentiated instruction. Lessons include student packets, presentations, materials, tips, and answer keys.

#### Subjects:

• Mathematics > General
• Mathematics > Equations
• Mathematics > Estimation
• Mathematics > Number Sense & Operations
• Mathematics > Problem Solving

#### Keywords:

Prime Numbers Factors Composite Numbers Fraction Integers Whole Number Operations Estimation Rounding

English

#### Access Privileges:

Public - Available to anyone

#### Collections:

None
Update Standards?

#### MA.3.NS.1.1: Mathematics

Count, read, and write whole numbers to 10,000.

#### MA.3.NS.1.2: Mathematics

Compare and order whole numbers to 10,000.

#### MA.3.NS.1.3: Mathematics

Identify the place value for each digit in numbers to 10,000.

#### MA.3.NS.1.4: Mathematics

Round off numbers to 10,000 to the nearest ten, hundred, and thousand.

#### MA.3.NS.1.5: Mathematics

Use expanded notation to represent numbers (e.g., 3,206 = 3,000 + 200 + 6).

#### MA.3.NS.2.1: Mathematics

Find the sum or difference of two whole numbers between 0 and 10,000.

#### MA.3.NS.2.3: Mathematics

Use the inverse relationship of multiplication and division to compute and check results.

#### MA.3.NS.2.5: Mathematics

Solve division problems in which a multidigit number is evenly divided by a one-digit number (135 ÷ 5 = __).

#### MA.3.NS.2.6: Mathematics

Understand the special properties of 0 and 1 in multiplication and division.

#### MA.3.NS.2.7: Mathematics

Determine the unit cost when given the total cost and number of units.

#### MA.3.NS.2.8: Mathematics

Solve problems that require two or more of the skills mentioned above.

#### MA.3.NS.3.1: Mathematics

Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g., 1/2 of a pizza is the same amount as 2/4 of another pizza that is the same size; show that 3/8 is larger than 1/4).

#### MA.3.NS.3.3: Mathematics

Solve problems involving addition, subtraction, multiplication, and division of money amounts in decimal notation and multiply and divide money amounts in decimal notation by using whole-number multipliers and divisors.

#### MA.3.NS.3.4: Mathematics

Know and understand that fractions and decimals are two different representations of the same concept (e.g., 50 cents is 1/2 of a dollar, 75 cents is 3/4 of a dollar).

#### MA.3.MR.1.1: Mathematics

Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

#### MA.3.MR.1.2: Mathematics

Determine when and how to break a problem into simpler parts.

#### MA.3.MR.2.1: Mathematics

Use estimation to verify the reasonableness of calculated results.

#### MA.3.MR.2.2: Mathematics

Apply strategies and results from simpler problems to more complex problems.

#### MA.3.MR.2.3: Mathematics

Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

#### MA.3.MR.2.4: Mathematics

Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

#### MA.3.MR.2.5: Mathematics

Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

#### MA.3.MR.2.6: Mathematics

Make precise calculations and check the validity of the results from the context of the problem.

#### MA.4.NS.1.1: Mathematics

Read and write whole numbers in the millions.

#### MA.4.NS.1.2: Mathematics

Order and compare whole numbers and decimals to two decimal places.

#### MA.4.NS.1.3: Mathematics

Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.

#### MA.4.NS.1.4: Mathematics

Decide when a rounded solution is called for and explain why such a solution may be appropriate.

#### MA.4.NS.1.5: Mathematics

Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (see Standard 4.0).

#### MA.4.NS.1.6: Mathematics

Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 or .50; 7/4 = 1 3/4 = 1.75).

#### MA.4.NS.1.7: Mathematics

Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.

#### MA.4.NS.1.8: Mathematics

Use concepts of negative numbers (e.g., on a number line, in counting, in temperature, in "owing").

#### MA.4.NS.1.9: Mathematics

Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.

#### MA.4.NS.2.1: Mathematics

Estimate and compute the sum or difference of whole numbers and positive decimals to two places.

#### MA.4.NS.2.2: Mathematics

Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.

#### MA.4.NS.3.1: Mathematics

Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

#### MA.4.NS.3.4: Mathematics

Solve problems involving division of multidigit numbers by one-digit numbers.

#### MA.4.NS.4.1: Mathematics

Understand that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3).

#### MA.4.NS.4.2: Mathematics

Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers.

#### MA.4.MR.1.1: Mathematics

Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

#### MA.4.MR.1.2: Mathematics

Determine when and how to break a problem into simpler parts.

#### MA.4.MR.2.1: Mathematics

Use estimation to verify the reasonableness of calculated results.

#### MA.4.MR.2.2: Mathematics

Apply strategies and results from simpler problems to more complex problems.

#### MA.4.MR.2.3: Mathematics

Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

#### MA.4.MR.2.4: Mathematics

Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

#### MA.4.MR.2.5: Mathematics

Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

#### MA.4.MR.2.6: Mathematics

Make precise calculations and check the validity of the results from the context of the problem.

#### MA.5.NS.1.1: Mathematics

Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.

#### MA.5.NS.1.2: Mathematics

Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.

#### MA.5.NS.1.3: Mathematics

Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication.

#### MA.5.NS.1.4: Mathematics

Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor (e.g., 24 = 2 x 2 x 2 x 3 = 2³ x 3).

#### MA.5.NS.1.5: Mathematics

Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

#### MA.5.NS.2.1: Mathematics

Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results.

#### MA.5.NS.2.2: Mathematics

Demonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors.

#### MA.5.MR.1.1: Mathematics

Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

#### MA.5.MR.1.2: Mathematics

Determine when and how to break a problem into simpler parts.

#### MA.5.MR.2.1: Mathematics

Use estimation to verify the reasonableness of calculated results.

#### MA.5.MR.2.2: Mathematics

Apply strategies and results from simpler problems to more complex problems.

#### MA.5.MR.2.3: Mathematics

Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

#### MA.5.MR.2.4: Mathematics

Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

#### MA.5.MR.2.5: Mathematics

Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

#### MA.5.MR.2.6: Mathematics

Make precise calculations and check the validity of the results from the context of the problem.

#### MA.A.1.2.1: Mathematics

names whole numbers combining three-digit numeration (hundreds, tens, ones) and the use of number periods, such as ones, thousands, and millions and associates verbal names, written word names, and standard numerals with whole numbers, commonly used fractions, decimals, and percents.

#### MA.A.1.2.2: Mathematics

understands the relative size of whole numbers, commonly used fractions, decimals, and percents.

#### MA.A.1.2.3: Mathematics

understands concrete and symbolic representations of whole numbers, fractions, decimals, and percents in real-world situations.

#### MA.A.1.2.4: Mathematics

understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions, and percents.

#### MA.A.2.2.1: Mathematics

uses place-value concepts of grouping based upon powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system.

#### MA.A.3.2.1: Mathematics

understands and explains the effects of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division.

#### MA.A.3.2.2: Mathematics

selects the appropriate operation to solve specific problems involving addition, subtraction, and multiplication of whole numbers, decimals, and fractions, and division of whole numbers.

#### MA.A.3.2.3: Mathematics

adds, subtracts, and multiplies whole numbers, decimals, and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

#### MA.A.4.2.1: Mathematics

uses and justifies different estimation strategies in a real-world problem situation and determines the reasonableness of results of calculations in a given problem situation.

#### MA.A.5.2.1: Mathematics

understands and applies basic number theory concepts, including primes, composites, factors, and multiples.
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This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of -0001-11-30.

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