SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.1.1 Select and use appropriate strategies to estimate fraction and
decimal products and quotients.
Blooms Level Skills Select (1)
• Strategies
Use (3)
• Products/quotients
• Fraction
• Decimal
Estimate (3) Big Ideas • Both estimation and exact answers are useful at different times when solving problems
with fraction and decimal products and quotients.
Essential Questions • When is estimation of fractions and decimal products and quotients useful?
• How does estimation help us understand real world problems? Or, how can they be
used in real life?
SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.1.2 Use and analyze a variety of strategies, including models, for
solving problems with multiplication and division of fractions.
6.1.3 Use and analyze a variety of strategies, including models, for
solving problems with multiplication and division of decimals.
Blooms Level • Use (3)
• Analyze(4)
• Use (3)
• Analyze(4) Skills 6.1.2
• Multiplication/division of fractions
• Strategies
• Models
• Problem solving
6.1.3
• Multiplication/division of decimals
• Strategies
• Models
• Problem solving
Big Ideas • Multiplication and division of fractions and decimals can be modeled using a
variety of strategies. Essential Questions • How can models help solve problems involving the multiplication and division of
fractions and decimals?
• Why do we need to be able to multiply and divide fractions and decimals? When do we
do this?
• What is the relationship between fractions and decimals?
SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.1.4 Develop fluency with efficient procedures for multiplying and
dividing fractions and decimals and justify why the procedures work.
6.1.5 Apply the inverse relationship between multiplication and division
to make sense of procedures for multiplying and dividing fractions and
justify why they work.
Blooms Level Understanding (2)
Justify (5)
Skills 6.1.4
• Multiply and divide fractions / decimals
• Efficient procedures
• Procedures
6.1.5
Apply (3)
Justify (5) • Multiplication/division whole number
• Inverse relationship
• Multiplication/division fractions
• Procedures
Big Ideas • Both estimation and exact answers are useful at different times when solving problems
with fraction and decimal products and quotients.
Essential Questions • When is estimation of fractions and decimal products and quotients useful?
• How does estimation help us understand real world problems? Or, how can they be
used in real life?
SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.1.6 Apply the properties of operations to simplify calculations.
Blooms Level Skills Apply (3)
• Properties
• Operations
• Calculations
Simplify (4) Big Ideas • Understanding of basic operations can be used to simplify calculations. Essential Questions • How do we determine which operations to use when solving problems?
SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.1.7 Use the relationship between common decimals and fractions to
solve problems including problems involving measurement.
Blooms Level Skills Use (3)
• Relationships
• Common Decimals
• Common fractions
Solve (3) • Problems
• Measurement
Big Ideas • Measurement can be used to model the relationship between common fractions and
decimals
• Measurement can be used to compare a variety of elements (money, distance, weight,
etc.).
Essential Questions • What do we measure in the world around us?
• Do all measurements use fractions and decimals?
• Why do we need to know and be able to use common measurement terms?
SMS STANDARDS
Grade Level: 6 Subject: Math Standard 6.2.1 Develop, analyze, and apply the meaning of ratio, rate, and
percent to solve problems.
Blooms Level Skills Develop (6)
• Meaning of
• Ratio
• Rate
• Percent
Analyze (4)
Apply (3)
Solve (3) • Problems
Big Ideas • Development of ratio, rate, and percent apply to everyday life problem solving.
• Ratio, rate, and percent relate to the relationship of fractions and decimals.
Essential Questions • Why are ratio, rate, and percent necessary to learn?
• What is the relationship between ratio and rate?
• How can the understanding of percent help solve problems?
SMS STANDARDS
Grade Level: 6 Subject: Math – Numbers & Operations and Probability Standard 6.2.2 Determine decimal and percent equivalents for common
fractions, including approximations.
Blooms Level Skills Determine (2)
• Decimal and percent equivalents for
common fractions including
approximations
Big Ideas • Knowledge of decimal and percent equivalents for common fractions is necessary for
estimations.
• Whether we estimate or compute the exact answer depends on the needs of the
situation. Essential Questions • When do we estimate? When do we need the exact answer?
• What is the relationship between fractions, decimals, and percents?
SMS STANDARDS
Grade Level: 6 Subject: Math – Numbers & Operations and Probability Standard 6.2.3 Understand the meaning of probability and represent
probabilities as ratios, decimals, and percents.
Blooms Level Skills Understand (1)
• Meaning of probability
Represent (2) • Probabilities as
• Ratios
• Decimals
• Percents
Big Ideas • Fractions, decimals, and percents can represent the same amount differently.
• Number sense means understanding the relationship between numbers.
Essential Questions • What is number sense? How can we use it to solve mathematical problems?
• What is the relationship between fractions, decimals, and percents?
SMS STANDARDS
Grade Level: 6 Subject: Numbers & Operations and Probability Standard 6.2.4 Determine simple probabilities, both experimental and
theoretical.
Blooms Level Skills Determine (3)
• Probabilities
• Experimental
• Theoretical
Big Ideas • Knowledge of probability is an essential skill.
Essential Questions • Why do we need to be exposed to the concept of probability?
• What are some situations that involve probability?
SMS STANDARDS
Grade Level: 6 Subject: Math – Numbers & Operations and Probability Standard 6.2.5 Develop the concept of π(pi) as the ratio of the circumference of
a circle to its diameter.
Blooms Level Skills Develop (3)
• π (pi) as the ratio of the circumference
of a circle to its diameter.
Big Ideas • Knowledge of the relationship of the diameter to the circumference of a circle.
Essential Questions • When is estimation of fractions and decimal products and quotients useful?
• When and why is π used in determining the circumference of the circle?
SMS STANDARDS
Grade Level: 6 Subject: Math - Algebra Standard 6.3.1 Use order of operations to simplify expressions that may include
exponents and grouping symbols.
Blooms Level Skills Use (3)
• Order of operations
• Expressions
Simplify (4) • Exponents
• Grouping symbols
Big Ideas • Knowledge of order of operations relating to exponents and grouping symbols.
Essential Questions • When is it appropriate to simplify an expression?
• Why do we need to solve equations in a specific order?
SMS STANDARDS
Grade Level: 6 Subject: Math - Algebra Standard 6.3.2 Develop the meanings and uses of variables.
6.3.6 Recognize that the solutions of an equation are the values of the
variables that make the equation true.
Blooms Level Develop (2)
Skills 6.3.2
• Meanings
• Uses of variables
Recognize (1)
6.3.6
• Solutions of an equation
• Values of variables
Big Ideas • Numbers can be represented by many different symbols.
Essential Questions • When can we use variables in equations?
• Why do we use variables in equations?
• How do we solve equations?
SMS STANDARDS
Grade Level: 6 Subject: Math - Algebra Standard 6.3.3 Write, evaluate, and use expressions and formulas to solve
problems.
6.3.4 Identify and represent equivalent expressions (e.g., different
ways to see a pattern).
Blooms Level Write (1)
Evaluate (5)
Use (3)
Skills 6.3.3
• Expressions
• Formulas
6.3.4
Solve (3) • Problems
Big Ideas • There are different ways to identify, write, evaluate, use and represent expressions
and formulas and their equivalents.
• There are different formulas and expressions used to solve real life problems. Essential Questions • Why is it important to use the proper formula or expression when problem solving?
• How do you know which expression or formula to use?
• What are formulas and expressions? What do they have in common and what are the
differences?
• How can formulas and expressions help in solving real life problems? What are some
examples of this?
SMS STANDARDS
Grade Level: 6 Subject: Math - Algebra Standard 6.3.5 Represent, analyze, and determine relationships and patterns
using tables, graphs, words and when possible, symbols.
Blooms Level Skills Represent (2)
Analyze (4)
Determine (3)
• Relationships
Use (3)
• Patterns
• Tables
• Graphs
• Words
• Symbols
Big Ideas • Graphs, patterns, symbols and words can be used to represent and analyze
relationships between expressions and equations.
Essential Questions • When is it useful to use graphs to show relationships? Patterns? Symbols? Words?
• How can equations and expressions be represented?
• When is it important to show relationships between equations or expressions?
SMS STANDARDS
Grade Level: 6 Subject: Math - Algebra Standard 6.3.7 Solve one-step equations by using number sense, properties of
operations, and the idea of maintaining equality on both sides of an
equation.
Blooms Level Skills Solve (3)
• One-step equations
• Number sense
• Properties of operations
• Equality on both sides of equation
Use (3) Big Ideas • Numbers on each side of an “=” sign must be equal.
• Equations are solved in an organized, systematic way.
Essential Questions • Why do we solve equations in a specific order?
• Why do we learn mathematical formulas?
• What does it mean to be “equal?”