-Write a number sentence for a

picture and given addends.

-Identify and use the commutative

property of addition and the

identity property of addition.

-Find the missing addend when a

number sentence has more than

two addends.

-Find a rule for counting sequence.

-Find more numbers or missing

numbers in a counting sequence.

-Use money manipulatives or

diagrams to show the place values

hundreds, tens, and ones.

-Use money manipulatives or

diagrams to compare two amounts of

money.

-Identify the place value of a digit in

a number.

-Describe the position or order of an

object in a line using ordinal

numbers.

-Use ordinal numbers to describe the

months of the year and the days of

each month.

-Use numbers to write the month,

day, and year if a specific date.

-Subtract two numbers and use

addition to check.

-Use subtraction and subtraction fact

families to write addition and

subtraction facts.

-Write whole numbers through 999

in words.

-Use digits to write whole numbers

through 999.

-Add money with regrouping.

A. Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.2 Compare and order whole numbers, fractions, and decimals using concrete materials, drawings, and mathematical symbols.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms, and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions, and decimals using addition, subtraction, multiplication, and division.

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

A. Measure and compare quantities using appropriate units, instruments and methods.

7.A.2b Solve addition, subtraction, multiplication and division problems using currency.

Daily classroom work with dry erase boards

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A. Describe numerical relationships using variables and patterns.

-Add with regrouping.

-Identify even and odd numbers.

-Identify lines and line segments.

-Draw and label a number line.

-Use words and digits to write

negative numbers.

-Identify positive and negative

numbers on a number line.

-Use a number line to compare two

numbers.

-Use symbols >, <, and = to show the

comparison for two numbers.

-Solve an addition story problem in

which the total is given and an

addend is missing.

-Find a missing number in a

subtraction problem.

-Add three-digit numbers with

regrouping.

-Subtract two-digit and three-digit

numbers.

-Find missing two-digit addends.

-Subtract two-digit numbers with

regrouping.

-Write numbers in expanded form.

-Find a missing number in a

subtraction problem.

-Add columns of numbers with

regrouping.

-Read the scale on a thermometer.

-Tell time on an analog clock.

-Write the time of day in digital form

A. Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.2 Compare and order whole numbers, fractions, and decimals using concrete materials, drawings, and mathematical symbols.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

Daily classroom work with dry erase boards

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C. Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

7.C. 2a Describe relationships in a simple scale drawing.

-Use a number line to round a

number to the nearest ten.

-Round an amount of money to the

nearest dollar.

-Measure in U.S. Customary units of

length.

-Measure in metric units of length.

-Compare units of length.

-Estimate length.

-Find the perimeter of a shape.

-Draw triangles, rectangles, and

squares.

-Use a compass to draw a circle.

-Determine the diameter of a circle

when the radius is given.

-Name a fraction.

-Write fractions in number form and

word form.

-Add dollar and cents with

regrouping.

-Identify and draw lines, segments,

and rays.

-Identify parallel, intersecting, and

perpendicular lines and segments.

-Describe an angle as acute, obtuse,

or right.

-Find the missing number in an

addition or subtraction problem.

-Solve story problems that have

subtraction patterns.

-Draw pictures to represent fractions.

-Use multiplication to show repeated

addition.

-Count forward or backward on a

clock to solve elapsed-time

A. Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.2 Compare and order whole numbers, fractions, and decimals using concrete materials, drawings, and mathematical symbols.

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

A. Measure and compare quantities using appropriate units, instruments and methods.

7.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.

Use algebraic and analytical methods to identify and describe

Daily classroom work with dry erase boards

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patterns and relationships in data, solve problems and predict results.

A. Describe numerical relationships using variables and patterns.

8.A.2b Construct and solve number sentences using a variable to represent an unknown quantity.

Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

B. Identify, describe, classify and compare relationships using points, lines, planes and solids.

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-Use a multiplication table to find

products.

-Identify the commutative, identity,

and zero properties of multiplication

-Memorize the basic multiplication

facts that have 0, 1, 2, or 5 as one of

the factors.

-Subtract three-digit numbers with

regrouping.

-Use arrays to model multiplication.

-Calculate the area of a rectangle.

-Use area models to model

multiplication.

-Find the square of a number.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

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-Find the square root of a perfect

square.

-Solve "larger-smaller-difference"

story problems.

-Recognize patterns in the 9’s

multiplication facts.

-Multiply by 9.

-Read numbers through hundred

million.

-Use words to write numbers through

hundred millions.

-Write numbers through hundred

millions in expanded form.

-Compare numbers through hundred

millions.

-Use digits to write numbers through

hundred millions.

-Use digits and words to name mixed

numbers.

-Use words to write money amounts.

-Use a cent sign or a dollar sign to

show amounts of money.

-Describe part of a dollar by using a

fraction.

-Compare money amounts that are

expressed as fractions of a dollar.

-Read fractions and mixed numbers

from a number line.

-Memorize the ten multiplication

facts in the memory group.

-Read an inch scale to the nearest

fourth.

-Use a ruler to measure objects to the

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals.

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

B. Estimate measurements and determine acceptable levels of accuracy.

7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems.

C. Solve problems using systems of numbers and their properties.

8.C.2 Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations.

Cumulative Lesson Tests

Games at the seat and board

-Convert units of capacity within the

U.S. Customary System.

-Convert units of capacity within the

metric system.

-Compare U.S. Customary System

units of capacity to metric units of

Daily classroom work with dry erase boards

-Use money manipulatives and a

calculator to display the decimal

numbers.

-Name decimal numbers.

-Use a decimal to name a part of a

square.

-Subtract across zero.

-Find a missing factor.

-Find a product of a number and a

multiple of 10 or 100.

-Round numbers to the nearest

hundred.

-Add or subtract money amounts

written with a dollar sign.

-Add or subtract decimal numbers

division), patterns, ratios, and proportions.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals.

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

A. Measure and compare quantities using appropriate units, instruments and methods.

7.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.

B. Estimate measurements and determine acceptable levels of accuracy.

7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems.

Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

A. Describe numerical relationships using variables and patterns.

8.A.2b Construct and solve number sentences using a variable to represent an unknown quantity.

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-Work inside the parentheses first inan arithmetic problem.

-Name lines and segments usingsymbols.

-Show division three different ways.

-Name percents of a dollar.

-Estimate percents of a whole.

-Find the remaining percents of a whole.

-Compare percents to one half.

-Find 50% of a number.

-Add numbers with more than three digits.

-Use multiplication to check a one-digit division answer.

-Subtract numbers with more than three digits.

-Solve equal group problems when the total is known.

-Perform one-digit division with a remainder.

-Remember the number of days in a month and year as well as the number of years in a century and decade.

-Remember which months have 30 days.

-Read a calendar.

-Calculate the number of years between two dates.

-Round a number to the nearest thousand.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals.

6.C.2b Show evidence that computational results using whole numbers, fractions, and decimals are correct and /or that estimates are reasonable.

Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

C. Solve problems using systems of numbers and their properties.

8.C.2 Explain operations andnumber properties including commutative, associative, distributive, transitive, zero, equality and order of operations.

In class work at the board

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Timed Tests

Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives

-Find multiples of a number.

-Find the factors of a number.

-Draw and shade congruent figures

to compare fractions.

-Solve rate word problems.

-Multiply a three-digit number by a

one-digit number.

-Estimate arithmetic answers by

using rounded numbers.

-Determine if an estimated answer

is more than, equal to, or less than

the actual answer.

-Find either the rate or the amount of

time in a rate problem that involves time and for which the total is given.

-Find information in different types

of graphs, such as pictographs, bar,

line, and circle graphs.

-Use date to create pictographs, bar,

line, and circle graphs.

-Find the size of a portion of a whole

if the size if the other portion is

given.

-Solve two-step equations.

-Multiply three or more factors.

-Simply expressions containing

exponents.

-Write an expression using

exponents.

-Identify polygons.

-Name polygons according to the number of sides they have.

A. Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.2 Compare and order whole numbers, fractions, and decimals using concrete materials, drawings, and mathematical symbols.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform computational procedures to solve problems with whole numbers, fractions and decimals.

Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes, and space.

A. Demonstrate and apply geometric concepts involving points, lines, planes, and space.

In class work at the board

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A. Organize, describe and make predictions from existing data.

10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs.

B. Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.2a Formulate questions of interest and select methods of systematically collect data.

10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.

10.B.2d Interpret results or make relevant decisions based on the data gathered.

In class work at the board

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Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives

-Divide a two-digit number by a one-digit number using pencil and paper.

-Determine whether a number is divisible by 3.

-Identify the divisor, dividend, and quotient in a division problem.

-Divide a three-digit number by a one-digit number.

-Determine whether a number is divisible by 9.

-Identify similar and congruent figures.

-Multiply by multiples of 10.

-Find a two-digit answer with a remainder when dividing.

-Measure the length of a segment or object in millimeters.

-Convert centimeters to millimeters and millimeters to centimeters.

-Write a decimal subtraction problem to find the length of a segment.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform

In class work at the board

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Cumulative Lesson Tests

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Visual while practicing with manipulatives

-Write questions (without bias) for a survey.

-Use a tally sheet to record the results of a survey.

-Conduct a survey and display the results in a bar graph.

-Divide two numbers to find a quotient that ends in zero.

-Examine a problem and choose the information needed to solve the problem.

-Identify three transformations by their common and geometric name.

-Use turns, flips, and slides to reorient geometric figures.

-Find a fraction of a set.

-Describe the amount and the direction of a turn.

computational procedures to solve problems with whole numbers, fractions and decimals.

6.C.2b Show evidence that computational results using whole numbers, fractions, and decimals are correct and /or that estimates are reasonable.

B. Estimate measurements and determine acceptable levels of accuracy.

7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems.

7.B.2b Estimate conversions between measures within the customary and metric systems.

C. Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

7.C.2a Describe the relationships in a simple scale drawing.

Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

A. Describe numerical relationships using variables and patterns.

8.A.2a Identify, describe, extend and create geometric and numeric patterns.

A. Organize, describe and make predictions from existing data.

10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line

In class work at the board

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B. Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.2a Formulate questions of interest and select methods of systematically collect data.

10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.

10.B.2d Interpret results or make relevant decisions based on the data gathered.

In class work at the board

Worksheets

Timed Tests

Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives

-Divide two numbers to find a three-digit answer.

-Divide dollars and cents by a whole number.

-Identify the units of weight in the U.S. Customary System and to Convert between these units.

-Identify units of mass in the metric system and to convert between these units.

-Classify a triangle by the measure of its angle.

-Classify a triangle by the length of its sides.

-Identify and draw lines of symmetry.

-Solve division problems with zeros in three-digit answers.

-Extend a table of values that shows the relationship between two quantities.

-Graph a point on a coordinate grid.

-Name the coordinates of a point on a coordinate grid.

-Estimate the measure of an angle in degrees.

-Create and use an angle measure-ment tool to estimate angle measures.

-Identify and create tessellations.

-Find the total cost of a purchase, including sales tax.

- Find the sales tax on a purchase.

-Calculate the amount of change that should be given back after a purchase has been made.

B. Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, and division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

A. Measure and compare quantities using appropriate units, instruments and methods.

7.A.2a Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.

In class work at the board

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Timed Tests

Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives

A. Describe numerical relationships using variables and patterns.

8.A.2a Identify, describe, extend and create geometric and numeric patterns.

8.A.2b Construct and solve number sentences using a variable to represent an unknown quantity.

Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes, and space.

A. Demonstrate and apply geometric concepts involving points, lines, planes, and space.

9.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two-

and three- dimensions with and without technology.

A. Organize, describe and make predictions from existing data.

10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line

graphs, line plots and stem-and-leaf graphs.

10.A.2c Make predictions and

decisions based on data and

In class work at the board

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Timed Tests

Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives

-Write a decimal number with three decimal places as a fraction or a mixed number and use words to name both the decimal number and the fraction or mixed number.

-Multiply a whole number or dollars and cents by 10, by 100, and by 1000.

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-Solve division word problems that involve remainders.

-Draw pictures to show mixed numbers and their equivalent improper fractions.

-Multiply a two-digit number by a two-digit number with regrouping.

-Use fraction manipulatives to model equivalent fractions, to compare fractions, to reduce fractions, to add and subtract fractions, to explore how fractions and percents are related, and to explore how fractions and decimals are related.

division) and their properties, algorithms and relationships.

6.B.2 Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication, and division.

C. Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2a Select and perform

computational procedures to solve problems with whole numbers, fractions and decimals.

6.C.2b Show evidence that computational results using whole numbers, fractions, and decimals are correct and /or that estimates are reasonable.

In class work at the board

Worksheets

Timed Tests

Cumulative Lesson Tests

Games at the seat and board

Visual while practicing with manipulatives