Unit

Unit Storyline

Full Objectives

Unit 1:

Timing

1-2 weeks

Objectives

5.N.2.2 

5.N.3.4 

 5.N.2.1  

Students will expand on previous knowledge of place value with whole numbers through the one millions and decimals to the thousandths.  Beyond reading and writing numbers, they will begin to make connections between fractions and decimals by modeling decimal fractions, as well as representing addition and subtraction of decimals, by using the standard algorithm or alternative procedures.

5.N.2.2 Represent, read and write decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers as large as millions.

*5.N.3.4 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.

*5.N.2.1 Represent decimal fractions (e.g., 1/10, 1/100 ) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals.

Unit 2:

Exploring Decimals

Timing

1-2 weeks

5.N.2.4

5.N.2.3

5.GM.3.2

5.GM.3.4 

Students will focus on decimals and how decimals relate to the metric system.  Students will compare and order decimals in various contexts including measurement.  At times, they will be required to compare and order objects by measuring them first with a ruler using centimeters.  In order to be successful with comparing and ordering decimals, the students will need to line up their decimals and place values which sometimes will require them to generate an equivalent decimal.

*5.N.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts.

*5.N.2.3 Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line.

*5.GM.3.2 Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch.

5.GM.3.4 Recognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects.

Unit 3:

Timing

2 - 3 weeks

Objectives

5.N.3.1

5.N.3.2

 5.N.3.4

5.N.3.3

5.A.2.3

5.A.2.2

5.A.2.1

Students will add and subtract decimals.  They will be presented a progression from estimating, illustrating, using standard algorithms, and applying to real world situations.  Although the focus is decimals, the students will be introduced to algebra concepts here in two ways.  First, by applying the commutative and associative properties of addition.  Secondly, by adding and subtracting decimals in an equation or expression with a variable when the value is given.

*5.N.3.1 Estimate sums and differences of fractions with like and unlike denominators, mixed numbers, and decimals to assess the reasonableness of the results.

*5.N.3.2 Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods).

*5.N.3.4 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number. 

*5.N.3.3 Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data.

*5.A.2.3 Evaluate expressions involving variables when values for the variables are given.

*5.A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.

Unit 4:

Exploring Fractions

Timing

3 - 4 weeks

Objectives

5.N.2.1

5.N.2.4

5.N.2.3

5.GM.3.3

5.GM.3.2

Students will become more familiar with fractions.  They explore how fractions relate to the customary system of measurement.  In various contexts, including measurement, students will compare and order fractions.  At times, they will be required to compare and order objects by measuring them first with a ruler using inches to the 1/16 inch.  In order to be successful with comparing and ordering fractions, the students will need to have a strong understanding of how to find equivalent fractions and convert between types, ie. fractions, fractions less than one, and mixed numbers.

*5.N.2.1 Represent decimal fractions (e.g., 1/10, 1/100 ) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals. 

*5.N.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts. 

*5.N.2.3 Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line. 

5.GM.3.3 Recognize and use the relationship between inches, feet, and yards to measure and compare objects. 

*5.GM.3.2 Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch. 

 Unit 5: 

Division

Timing

3 - 4 weeks

Objectives

5.N.1.1

5.N.1.2

5.N.1.3

5.N.1.4

5.A.2.3*

5.A.2.2*

5.A.2.1*

Students will build an understanding of division by following a progression from estimating, one digit divisors, two digit divisors, and then quotients with remainders.  Throughout the whole process, the students will be presented with real-world situations and learn to check their answers by using the inverse relationship of multiplication.  Students will use this opportunity to start conversations on what the distributive property is.  Solving division expressions or equations when a variable value is given will be included.

5.N.1.1 Estimate solutions to division problems in order to assess the reasonableness of results.

*5.N.1.2 Divide multi-digit numbers, by one- and two-digit divisors, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.

5.N.1.3 Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal and consider the context in which a problem is situated to select and interpret the most useful form of the quotient for the solution.

*5.N.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. 

*5.A.2.3 Evaluate expressions involving variables when values for the variables are given. 

*5.A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable. 

*5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). 

Unit 6: 

2-D Figures

Timing

1 - 3 weeks

Objectives

5.GM.3.1

5.GM.1.1

5.GM.2.3

 5.GM.3.2

5.N.3.3

Students will examine 2-dimensional figures.  At times the objectives will presented on their own.  When classifying triangles, the students can also measure and compare angles.  When we are finding the perimeter of polygons, it is a great opportunity for the students to measure with a metric ruler and add decimals. 

5.GM.3.1 Measure and compare angles according to size.

5.GM.1.1 Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts. 

5.GM.2.3 Find the perimeter of polygons and create arguments for reasonable values for the perimeter of shapes that include curves.

*5.GM.3.2 Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch. 

*5.N.3.3 Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data.  

Unit 7: 

Adding and Subtracting Fractions

Timing

3 - 4 weeks

Objectives

5.N.3.1*

5.N.3.2*

5.N.3.3*

5.A.2.3*

5.A.2.2*

5.A.2.1*

The students will cover adding and subtracting fractions.  There will be a progression from estimating, illustrating, using standard algorithms, and applying to real world situations with like and unlike denominators.  Although the focus is fractions, the students will continue to apply algebra concepts here by utilizing the commutative and associative properties of addition.  They will also add and subtract fractions in an equation or expression with a variable when the value is given.

*5.N.3.1 Estimate sums and differences of fractions with like and unlike denominators, mixed numbers, and decimals to assess the reasonableness of the results. 

*5.N.3.2 Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods). 

*5.N.3.3 Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data. 

*5.A.2.3 Evaluate expressions involving variables when values for the variables are given. 

*5.A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable. 

*5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). 

Unit 8:

Timing

2 - 3 weeks

Objectives

5.A.2.1

5.A.2.3

5.A.2.2

5.N.1.4

Students will step away from decimals and fractions and focus on whole numbers only.  Using a mix of expressions, equations, and real-world situations, students will use all four operations to solve problems and check their work by using inverse operations.  At times, they will substitute variables for numbers with the value is given.  When solving these problems, they will tie in the number properties whenever applicable.

*5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). 

*5.A.2.3 Evaluate expressions involving variables when values for the variables are given. 

*5.A.2.2 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.  

*5.N.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. 

Unit 9:

Data

Timing

2 - 3 weeks

Objectives

Students will be mastering central tendency and bar graphs.  While working with bar graphs, they will apply real-world situations covering all four operations and cover central tendency.  While working with central tendency, adding, subtracting, and dividing whole numbers will be addressed again.  

*5.D.1.2 Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments.

5.D.1.1 Find the measures of central tendency (mean, median, or mode) and range of a set of data. Understand that the mean is a “leveling out” or central balance point of the data. 

*5.N.1.2 Divide multi-digit numbers, by one- and two-digit divisors, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. 

*5.N.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. 

Unit 10: 

Algebra

Timing

1 - 2 weeks

Objectives

Students will work with number properties and learn to mastery. Students will have their first look at rules and patterns, exploring tables and charts, and learning to graph ordered pairs.

5.A.1.1 Use tables and rules of up to two operations to describe patterns of change and make predictions and generalizations about real-world and mathematical problems. 

5.A.1.2 Use a rule or table to represent ordered pairs of whole numbers and graph these ordered pairs on a coordinate plane, identifying the origin and axes in relation to the coordinates.

*5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). 

Unit 11: 

Fraction and Decimal Relationships

Timing

2 - 3 weeks

Objectives

5.N.2.4

5.N.2.3

5.D.1.2

5.N.3.3

The students will integrate fractions and decimals while by ordering and comparing them. This will expand into graphing.  While working on graphing, they will revisit the skill of adding and subtracting fractions.

*5.N.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts. 

*5.N.2.3 Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line. 

*5.D.1.2 Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments. 

*5.N.3.3 Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data. 

 Unit 12: 

Volume

Timing

1 - 2 weeks

Objectives

5.GM.2.1

5.N.1.4

5.A.2.1

The students will learn how to find volume of a rectangular prism.  They will tie in multiplying whole numbers in real-world situations and the use of number properties.

5.GM.2.1 Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (axbxc = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if axbxc = pxqxr = n. 

*5.N.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. 

5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). 

Unit 13: 

Surface Area

Timing

2 - 3 weeks

Objectives

Students will explore three-dimensional figures.  They will classify them, recognize nets, and find surface area.  To find surface area they will tie in real-world situations where they will have to add and multiply whole numbers.  They will utilize the number properties to solve the problems more efficiently.

5.GM.1.2 Describe and classify three-dimensional figures including cubes, rectangular prisms, and pyramids by the number of edges, faces or vertices as well as the shapes of faces.

5.GM.1.3 Recognize and draw a net for a three-dimensional figure (e.g., cubes, rectangular prisms, pyramids).

5.GM.2.2 Recognize that the surface area of a three-dimensional figure with rectangular faces with whole numbered edges can be found by finding the area of each component of the net of that figure. Know that three-dimensional shapes of different dimensions can have the same surface area.

*5.N.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results. 

*5.A.2.1 Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents). ******