September

Add and subtract

fractions, mixed

numbers and

decimals to solve

real-world and

mathematical

problems.

5.1.3.4

Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry

and data.

5.1.3.1

Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

Amber, a very fit snail, moved 7/9 yard in an hour. She challenged other snails to try and do better. Will moved ⅘ as far as Amber. How far did Will go? Dusty went ⅓ of a yard less than Amber. How far did Dusty go?

Casey moved 4/9 of a yard more than Amber. How far did Casey go?

Unit 1 Assessment on Addition and Subtraction of like and unlike denominators.

Unit 1 Quick Quiz 1

Unit 1 Quick Quiz 2

Math Expressions Unit 1 Lessons

September

Read, write,

represent and

compare fractions

and decimals;

recognize and

write equivalent

fractions; convert

between fractions

and decimals; use

fractions and

decimals in real world

and

mathematical

situations.

5.1.2.4

Recognize and generate equivalent decimals, fractions, mixed

numbers and improper fractions in various contexts.

5.1.2.3

Order fractions and decimals, including mixed numbers and

improper fractions, and locate on a number line.

Write a chain of equivalent fractions and explain what an equivalent fraction is.

Draw and label each point on a number line (1 4/8, 2, 17/4, ¾)

Unit 1 Quick Quiz 1

Unit 1 Quick Quiz 1

Math Expressions Unit 1 Lessons

September

Add and subtract

fractions, mixed

numbers and

decimals to solve

real-world and

mathematical

problems.

5.1.3.2

Model addition and subtraction of fractions and decimals using a variety of representations.

5.1.3.3

Estimate sums and differences of decimals and fractions to assess the reasonableness of results.

Look at the map.  What is the distance between Clear Springs, and Pine City, while traveling through Eagle Crest.

Clear springs to PC=9 ⅖’s miles.  Eagle Crest to PC= 6 7/10’s miles.

Adrianne and Gabriel have 80 cherries.  They need 50 cherries to make a pie, and they would also like a snack.  Adreanne wants to eat ½ of the 80 cherries, and Gabriel wants to eat ¼ of them.  Will that leave enough cherries for the pie?  Why or why not?

Unit 1 Assessment on Addition and Subtraction with Like Fractions, Mixed Numbers and Improper Fractions, Equivalent Fractions, and Relate Fractions and Decimals

Unit 1 Quick Quiz 2

Math Expressions Unit 1 Lessons

October

October

Read, write,

represent and

compare fractions

and decimals;

recognize and

write equivalent

fractions; convert

between fractions

and decimals; use

fractions and

decimals in real world

and

mathematical

situations.

5.1.2.1

Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.

5.1.2.2

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.

5.1.2.3

Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.

5.1.2.4

Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.

5.1.2.5

Round numbers to the nearest 0.1, 0.01 and 0.001.

Write 2 ways in which whole numbers and decimals are different.

Start with the number 5,835.87

Decrease the number by 0.05

Make 3 more in the tens place

Increase the number by 3000

Order the production numbers of shoes from the table, from least to greatest.

Draw and label each point on a number line (1.25, 14/7, 2.5, 4/3,)

A number was rounded to 3.25 after it was rounded.  To what place was the number rounded?

Unit 2 Assessment on Decimal Concepts, Reading and Writing Whole Numbers and Decimals, Graphing and Rounding, and Multi-digit Word Problems

Unit 2 Quick Quiz 1

Unit 2 Quick Quiz 4

Unit 2 Quick Quiz 2

Unit 2 Quick Quiz 3

Unit 2 Quick Quiz 3

Math Expressions Unit 2 Lessons

October

October

Add and subtract

fractions, mixed

numbers and

decimals to solve

real-world and

mathematical

Problems.

Add and subtract

fractions, mixed

numbers and

decimals to solve

real-world and

mathematical

problems.

5.1.3.1

Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

5.1.3.2

Model addition and subtraction of fractions and decimals using a variety of representations.

5.1.3.3

Estimate sums and differences of decimals and fractions to assess the reasonableness of results.

5.1.3.4

Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed

numbers, including those involving measurement, geometry and data.

Colleen owns a tree nursery.  Her tallest maple tree measures 2.32 meters, and her shortest measures 0.4 meters.  What is the difference in their heights?

Subtract 1353 - 769.  Model the difference with two different methods (ex. Left to right, and right to left)

Jack and Lelia have each been saving money.  Jack has $136.83 and Lelia has nineteen dollars. How much less money does Lelia have than Jack?

Unit 2 Assessment on Decimal Concepts, Reading and Writing Whole Numbers and Decimals, Graphing and Rounding, and Multi-digit Word Problems

Unit 2 Quick Quiz 2

Unit 2 Quick Quiz 2

Unit 2 Quick Quiz 3

Math Expressions Unit 2 Lessons

October

October

Recognize and

represent patterns

of change; use

patterns, tables,

graphs and rules

to solve real world

and

mathematical

problems.

5.2.1.1

Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.

Identify patterns of equivalent fractions and decimals, using number lines.

Unit 2 Assessment on Addition and Subtraction with Like Fractions, Mixed Numbers and Improper Fractions, Equivalent Fractions, and Relate Fractions and Decimals

Unit 2 Quick Quiz 5

Math Expressions Unit 2

October

Divide multi-digit

numbers; solve

real-world and

mathematical

problems using

arithmetic.

5.1.1.3

Estimate solutions to arithmetic problems in order to assess the reasonableness of results.

At a garden center, grass seed sells for $8 per pound. Kalil spent $10 on grass seed.  What amount of seed did he buy? Use estimation to check your answer.

Unit 2 Quick Quiz 3

Math Expressions Unit 2 Lessons

October

Use properties of

arithmetic to

generate

equivalent

numerical

expressions and

evaluate

expressions

involving whole

numbers.

5.2.2.1

Apply the commutative, associative and distributive

properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole

numbers.

It costs $25 plus $10 per hour to rent a canoe.  Emilio spent $70 one Saturday to go canoeing. How many hours (h) was he out in the canoe.

Unit 2 quick Quiz 2

Math Expressions Unit 2 Lesson 7

November

Divide multi-digit

numbers; solve

real-world and

mathematical

problems using

arithmetic.

5.1.1.3

Estimate solutions to arithmetic problems in order to assess the reasonableness of results.

5.1.1.4

Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit

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.

Explain how to use mental math to find the product of 64 and 25.

Jamal is building a bed for his dog. The dimension of his bed is 27 inches wide by 36 inches wide. What is a the area of the bed.

Unit 4 Quick Quiz 2

Unit 4 Quick Quiz 1

Math Expressions Unit 4 Lessons 1-5, 10

November

Read, write,

represent and

compare fractions

and decimals;

recognize and

write equivalent

fractions; convert

between fractions

and decimals; use

fractions and

decimals in real world

and

mathematical

situations.

5.1.2.5

Round numbers to the nearest 0.1, 0.01 and 0.001.

A number was rounded to 3.25 after it was rounded.  To what place was the number rounded?

Unit 4 Assessment on Decimal Concepts, Reading and Writing Whole Numbers and Decimals, Graphing and Rounding, and Multi-digit Word Problems

Unit 4 Quick Quiz 2

Math Expressions Unit 4 Lesson 10

December

December

Divide multi-digit

numbers; solve

real-world and

mathematical

problems using

arithmetic.

Recognize and

represent patterns

of change; use

patterns, tables,

graphs and rules

to solve real world

and

mathematical

problems.

Display and

interpret data;

determine mean,

median and range.

5.1.1.1

Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including

standard algorithms. 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.

5.1.1.2

Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.

5.1.1.3

Estimate solutions to arithmetic problems in order to assess the reasonableness of results.

5.1.1.4

Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit

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.

Mia must work 133 hours during the month of May.  There are 21 working days in May this year.  How many hours per day will Mia work if she works the same number of hours each day? Use estimation to check your answer.

Nadia received these test scores:  87, 83, 96, 92, 82.   What was the mean of her scores?

Nadia received these test scores:  87, 83, 96, 92, 82.   What was the mean of her scores?

Unit 5 Assessment on Multiplication with Whole Numbers, Multiplication of Decimal Numbers, One and Two Digit Divisors

Unit 5 Quick Quiz 1

Unit 5 Quick Quiz 1

Unit 5 Quick Quiz 1

Unit 5 Quick Quiz 1

Math Expressions Unit 5 Lessons

January

Understand and

interpret equations

and inequalities

involving

variables and

whole numbers,

and use them to

represent and

solve real-world

and mathematical

problems.

5.2.3.2

Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.

Mya’s class goes on a trip to the ice skating rink. There is a 50 dollar fee for the entire class, and the cost to rent skates is 10 dollars per student. If the total cost is 290 dollars, how many students are in Mya’s class?

Use an expression to help you solve a problem using variables.

(290= 10x + 50)

Unit 6 Assessment on Expressions, Equations, Inequalities

Unit 6 Quick Quiz 1

Math Expressions Unit 6 (1-3)

January

Divide multi-digit

numbers; solve

real-world and

mathematical

problems using

arithmetic.

5.1.1.3

Estimate solutions to arithmetic problems in order to assess the reasonableness of results.

Mia must work 133 hours during the month of May.  There are 21 working days in May this year.  How many hours per day will Mia work if she works the same number of hours each day? Use estimation to check your answer.

Unit 6 Assessment on Expressions, Equations, Inequalities

Unit 6 Quick Quiz 1

Math Expressions Unit 6-4

February

Use properties of

arithmetic to

generate

equivalent

numerical

expressions and

evaluate

expressions

involving whole

numbers.

5.2.2.1

Apply the commutative, associative and distributive

properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole

numbers.

It costs $25 plus $10 per hour to rent a canoe.  Emilio spent $70 one Saturday to go canoeing. How many hours (h) was he out in the canoe.

Unit 7 Assessment on Expressions, Equations, Inequalities, Functions and Graphs

Unit 7  Quick Quiz 1

Math Expressions Unit 7

February

February

Understand and

interpret equations

and inequalities

involving

variables and

whole numbers,

and use them to

represent and

solve real-world

and mathematical

Problem

Understand and

interpret equations

and inequalities

involving

variables and

whole numbers,

and use them to

represent and

solve real-world

and mathematical

problems.ms.

5.2.3.1

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

5.2.3.2

Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.

5.2.3.3

Evaluate expressions and solve equations involving variables when values for the variables are given.

¼ * t < 30 for t=60, t=90, t=120, t=150

Mya’s class goes on a trip to the ice skating rink. There is a 50 dollar fee for the entire class, and the cost to rent skates is 10 dollars per student. If the total cost is 290 dollars, how many students are in Mya’s class?

Use an expression to help you solve a problem using variables.

(290= 10x + 50)

Unit 7 Assessment on Expressions, Equations, Inequalities, Functions and Graphs

Unit 7  Quick Quiz 1

Unit 7  Quick Quiz 1

Math Expressions Unit 7

February

Recognize and

represent patterns

of change; use

patterns, tables,

graphs and rules

to solve real world

and mathematical

problems.

5.2.1.1

Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.

5.2.1.2

Use a rule or table to represent ordered pairs of positive integers and graph these ordered pairs on a coordinate system.

Describe the similarities and differences between repeating, growing, shrinking, and numerical patterns.

Use a coordinate grid to graph a triangle that has moved seven units up from original spot.

Unit 7 Assessment on Patterns and Functions

Unit 7  Quick Quiz 2

Unit 7  Quick Quiz 2

Math Expressions Unit 7 Lessons

February

February

Recognize and

represent patterns

of change; use

patterns, tables,

graphs and rules

to solve real world

and

mathematical

problems.

5.4.1.2

Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and

decimals. Know how to create spreadsheet tables and graphs to display data.

5.4.1.1

Know and use the definitions of the mean, median and range of a set of data. Know how to use a spreadsheet to find the

mean, median and range of a data set. Understand that the mean is a "leveling out" of data.

Given a set of data on a table or in a function, set a scale and graph the data to show information

The daily high temperatures in Fahrenheit for one week in Minnesota in April were: 39, 41, 57, 61, 64, 53, 37.  What was the mean high temperature for that week?

Unit 7 Assessment on Expressions, Equations, Inequalities, Functions and Graphs

Unit 7  Quick Quiz 3

Unit 7  Quick Quiz 3

Math Expressions Unit 7

March/ April

March/ April

Describe, classify,

and draw

representations of

three-dimensional

Figures.

Determine the

area of triangles

and quadrilaterals;

determine the

surface area and

volume of

rectangular prisms

in various

Contexts.

Determine the

area of triangles

and quadrilaterals;

determine the

surface area and

volume of

rectangular prisms

in various

contexts.

5.3.2.1

Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.

5.3.2.2

Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms.

5.3.2.3

Understand that the volume of a three-dimensional figure can be found by counting the total number of same-sized cubic

5.3.2.4

Develop and use the formulas V = ℓwh and V = Bh to determine the volume of rectangular prisms. Justify why base area B and height h are multiplied to find the volume of a

rectangular prism by breaking the prism into layers of unit cubes.

Find the surface area of 3D shapes by using the nets of each shape. Note to find the area of triangles and parallelograms and to find the total surface area.

Construct a cube, rectangular prism, and triangular pyramid and analyze how many faces, edges, and vertices are on each.

Elbert keeps his CD collection in a box that is 3dm long, 2dm wide, and 1dm high. His father is building him a new box that will be twice as long in every dimension. Elbert thinks his volume will be twice as many cubic dm as his last box. Is he right?

One face of a cube has an area of 16 square inches. What is the length of each edge? What is the volume of the cube?

A box is shaped like a rectangular prism.  What happens to the volume of the box if you double the length of each edge of the box?

How does the volume of a prism change if each dimension of the prism is doubled?

Unit 8 Assessment on Properties of Three Dimensional Figures

Unit 8 Quick Quiz 4

Unit 8 Quick Quiz 1

Unit 8 Quick Quiz 1

Unit 8 Quick Quiz 1

Math Expressions Unit 8 Lessons

3D Shapes and Nets

Math Expressions Unit 8 Lessons

3D Shapes and Nets

March/ April

Describe, classify,

and draw

representations of

three-dimensional

figures.

5.3.1.1

Describe and classify three-dimensional figures including cubes, prisms and pyramids by the number of edges, faces or vertices as well as the types of faces.

5.3.1.2 Recognize and draw a net for a three-dimensional figure.

Name each 3D shape by the base. Draw a triangular prism and pyramid, square prism and pyramid, pentagonal prism and pyramid, and hexagonal prism and pyramid. Complete the table for each shape labeling the sides of the base, edges, faces, and vertices. Note any relationships among the shapes.

Unit 8 Assessment on Properties of Three Dimensional Figures

Students will create a poster by drawing each 3D shapes, labeling and counting edges, vertices, and faces

Math Expressions Unit 8 Lessons

Unit 8 Quick Quiz 5

May

May

Multiply and divide decimals, fractions and mixed numbers; solve real-world and mathematical problems using arithmetic with positive rational numbers.

Multiply and divide decimals, fractions and mixed numbers; solve real-world and mathematical problems using arithmetic with positive rational numbers.

6.1.3.1

Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

6.1.3.4

Solve real-world and mathematical problems requiring arithmetic with decimals, fractions and mixed numbers.

6.1.3.5

Estimate solutions to problems with whole numbers, fractions and decimals and use the estimates to assess the reasonableness of results in the context of the problem.

The sum 1 3 + 0.25 can be estimated to be between ½ and 1, and this estimate can be used to check the result of a more detailed calculation.

The sum 1 3 + 0.25 can be estimated to be between ½ and 1, and this estimate can be used to check the result of a more detailed calculation.

Unit 3 Assessments on Multiplication and Division with Fractions

Unit 3 Quick Quiz 1

Unit 3 Quick Quiz 1

Unit 3 Quick Quiz 2

Math Expressions Unit 3 Lessons

Math Expressions Unit 3 Lessons