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Math Standards

Teacher: CORE Math Grade 6
 Year:      2010-2011
 Course:  Math Grade 6 

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Numbers, Expressions, and Equations

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Read and write numbers to trillions in standard, expanded, and word form, and give the values of specified digits.

Write powers as products and evaluate, write expressions in exponential form, and write numbers in expanded form using exponents.

Compare and order numbers with the same digits in different places or with many of the same digits.

Round whole numbers through ten-millions.

Identify rounding, clustering, front-end estimation, and
front-end estimation with adjusting as the method to be used, and apply it to estimate the sum or difference of whole numbers.

Estimate products and quotients with numbers up to ten-thousands.

Tell in words what is known and what needs to be determined in given word problems.

Evaluate expressions with three or more numbers, one with an exponent, and with two or more operations.

Give missing addends
and factors in
equations, and state
the property used.

Give the missing number in expressions rewritten using the Distributive Property,
and use that property to compute mentally.

Mentally evaluate expressions with up to four numbers.

Give appropriate strategies and alternate strategies for solving word problems.

Write numerical expressions with variables to represent relations expressed verbally.

Explain why expressions are or are not equivalent, and give values for variables that make equations true.

Solve one-step equations with one variable.

Tell whether and why the work shown for given problems is correct or not.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Exponential Form

PDE: Whole numbers

PDE: Decimals (through thousandths)

PDE: Concept of "comparing"

PDE: Concept of "ordering"

PDE: Exponential Form

PDE: Whole numbers

PDE: Decimals (through thousandths)

PDE: Concept of "comparing"

PDE: Concept of "ordering"

PDE: Associative property

PDE: Commutative property

PDE: Distributive property

PDE: Identity

PDE: Equations

PDE: Whole numbers

PDE: Computation

PDE: Word problems

PDE: Arithmetic operations (+, -, x, ÷)

PDE: Whole numbers

PDE: Inverse operation

PDE: One-step equation

PDE: Inverse operation

PDE: One-step equation

 

Expanded Form

Exponential form, base, exponent, power, expanded form, squared, cubed, expanded form using exponents

 

Round

Estimate, round, front-end estimation, front-end estimation with adjusting, clustering

Compatible numbers, range, underestimate, overestimate

Order of operations

Commutative Properties, Associative Properties, Identity Properties, Multiplication Property of Zero

Distributive Property, break apart

Break apart, caompatible numbers, compensation, equal additions

Variable, evaluate

Equation, properties of equality, inverse operations

Equation, inverse operations, properties of equality

PDE: Represent a number in exponential form (e.g., 10x10x10=103).

PDE: Compare whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths)

PDE: Order whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths).

PDE: Represent a number in exponential form (e.g., 10x10x10=103).

PDE: Compare whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths)

PDE: Order whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths).

PDE: Complete equations by using the associative property.

PDE: Complete equations by using the commutative property.

PDE: Complete equations by using the distributive property

PDE: Complete equations by using identity.

PDE: Solve problems involving operations (+, -, x, ¸) with decimals (through thousandths) - straight computation or word problems.

PDE: Solve problems involving operations (+, -, x, ¸) with fractions (avoid complicated LCDs) - straight computation or word problems.

PDE: Identify the inverse operation needed to solve a one-step equation.

PDE: Solve a one-step equation (i.e., using the inverse operation -whole numbers only).

 

Foresman Wesley: Chapter 1-Lesson 1-Place Value 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 2-Algebra Exponents 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 3-Comparing and Ordering Whole Numbers 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 4-Rounding Whole Numbers 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 5-Estimating Sum and Differences 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 6-Estimating Products and Quotients 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 7-Read and Understand 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 8-Algebra Order of Operations 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 9-Algebra Properties of Operations 
8/1/2007

Foresman Wesley: Chapter 1-Lesson Algebra Mental Math: Using the Distributive Property 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 11-Mental Math Strategies 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 12-Plan and Solve 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 13 Algebra Variables and Expressions 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 14-Algebra Properties of Equality 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 15-Algebra Solving Equations with Whole Numbers 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 16-Look Back and Check 
8/1/2007

Foresman Wesley: Chapter 1-Lesson 17-Production 
8/1/2007

 

M6.A.1.1 ~ Express numbers in equivalent forms.

 

M6.A.1.2 ~ Compare quantities and/or magnitudes of numbers.

 

M6.A.1.3 ~ Apply number theory concepts (i.e., factors, multiples).

 

M6.A.2.1 ~ Select and/or use operations to simplify or solve problems.

 

M6.A.3.1 ~ Apply estimation strategies to a variety of problems.

 

M6.A.3.2 ~ Solve problems with and without the use of a calculator.

 

M6.D.2.1 ~ Select and/or use appropriate strategies to solve number sentences.

 

 

 

 

 

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Decimals

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Give the place value of a given digit in a decimal number, and write decimals in expanded and short-word form.

Compare and order decimals through hundred-thousandths.

Round decimals to hundred-thousandths to the specified place, including to the nearest whole number.

Estimate sums, differences, products, and quotients with decimals to thousandths.

Find sums
and differences with decimals with a variety of whole-number and decimal places.

Find products of whole numbers and decimals to thousandths.

 Find quotients where the dividend and/or the quotient is a decimal.

Solve word problems involving division, and express the answer with remainders or as decimals as appropriate.

Find quotients of two decimals.

Multiply and divide whole numbers and decimals by positive and negative powers
of 10.

Express numbers ranging from ten-millionths to hundred millions using scientific notation.

Solve equations where the numbers given include decimals.

Write equations for word problems, and use complete sentences to write the answers to the problems using these equations.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Whole numbers

PDE: Mixed numbers

PDE: Decimals (through thousandths)

PDE: Concept of "comparing"

PDE: Concept of "ordering"

PDE: Associative property

PDE: Commutative property

PDE: Distributive property

PDE: Identity

PDE: Equations

PDE: Estimation

PDE: Whole numbers

PDE: Decimals

PDE: Equation

PDE: Expression

PDE: Variable

 

Decimal expanded form

Round

Exponent, positive power of ten, negative power of ten

Scientific notation

 

Inverse operations, properties of equality

PDE: Compare whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths)

PDE: Order whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths).

PDE: Complete equations by using the associative property.

PDE: Complete equations by using the commutative property.

PDE: Complete equations by using the distributive property

PDE: Complete equations by using identity.

PDE: Use estimation to solve problems involving whole numbers (up to 2-digit divisors and 4 operations).

PDE: Use estimation to solve problems involving decimals (up to 2-digit divisors and 4 operations).

PDE: Match an equation involving one variable, to a verbal math situation (one operation only).

PDE: Match an expression involving one variable, to a verbal math situation (one operation only).

 

Foresman Wesley: Chapter 2-Lesson 1-Understanding Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 2-Comparing and Ordering Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 3-Rounding Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 4-Estimating with Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 5-Adding and Subtracting Whole Numbers and Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 6-Multiplying Whole Numbers and Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 7-Dividing by a Whole Number 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 8-Interpreting Remainders 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 9-Dividing by a Decimal 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 10-Multiplying and Dividing by Powers of Ten 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 11-Scientific Notation 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 12-Algebra Solving Equations with Decimals 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 13-Algebra Write an Equation 
9/1/2007

Foresman Wesley: Chapter 2-Lesson 14-Toronto Skydome 
9/1/2007

 

M6.A.1.2 ~ Compare quantities and/or magnitudes of numbers.

 

M6.A.2.1 ~ Select and/or use operations to simplify or solve problems.

 

M6.A.3.1 ~ Apply estimation strategies to a variety of problems.

 

M6.D.2.2 ~ Create and/or interpret expressions or equations that model problem situations.

 

 

 

 

 

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Number Theory and Fraction Concepts

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Use
divisibility rules to
determine if one
number is divisible by another.

Identify numbers as prime or composite, and give the prime factorization for numbers.

Find
common factors and
the greatest common
factor of numbers.

Find common multiples and the least common multiple of numbers.

Make tables and use them to solve word problems.

Use fractions to describe fractional parts of regions and sets, and to represent division.

 Write equivalent fractions
and express fractions
in lowest terms.

Write improper fractions as mixed numbers and mixed numbers as improper fractions.

Estimate fractions using fraction benchmarks.

 Identify and write equivalent fractions and decimals.

Compare and order fractions
and decimals on the
number line.

Solve multiple-step word problems.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Greatest Common Factor (GCF)

PDE: Concept of "simplification of fractions"

PDE: Least Common Multiple (LCM)

PDE: Divisibility Rules

PDE: Greatest Common Factor (GCF)

PDE: Concept of "simplification of fractions"

PDE: Least Common Multiple (LCM)

 

Divisible, multiple, factor, divisor

Prime number, composite number, prime factorization, factor tree

Common factor, greatest common factor, prime factorization

Common multiple, least common multiple, prime factorization

Fraction, denominator, numerator

Proper fraction, improper fraction, mixed number

Benchmark fraction

Terminating decimal, repeating decimal

 

PDE: Find the Greatest Common Factor (GCF) of two numbers (through 50).

PDE: Use the GCF to simplify fractions.

PDE: Find the Least Common Multiple (LCM) of two numbers (through 50).

PDE: Use the LCM to find the common denominator of two fractions.

PDE: Use divisibility rules for 2, 3, 5 and/or 10 to draw conclusions.

PDE: Use divisibility rules for 2, 3, 5 and/or 10 to solve problems.

PDE: Find the Greatest Common Factor (GCF) of two numbers (through 50).

PDE: Use the GCF to simplify fractions.

PDE: Find the Least Common Multiple (LCM) of two numbers (through 50).

PDE: Use the LCM to find the common denominator of two fractions.

 

Foresman Wesley: Chapter 3-Lesson 1-Factors, Multiples, and Divisibility 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 2-Prime and Composite Numbers 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 3-Greatest Common Factor 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 4-Least Common Multiple 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 5-Make a Table 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 6-Understanding Fractions 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 7-Equivalent Fractions 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 8-Improper Fractions and Mixed Numbers 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 9-Estimating Fractional Amounts 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 10-Connecting Fractions and Decimals 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 11-Comparing and Ordering Fractions and Decimals 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 12-Multiple-Step Problems 
10/1/2007

Foresman Wesley: Chapter 3-Lesson 13-Earth's Surface 
10/1/2007

 

M6.A.1.3 ~ Apply number theory concepts (i.e., factors, multiples).

 

 

 

 

Adding and Subtracting Fractions

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Add and subtract fractions with like denominators, and simplify the answer if possible.

Find common denominators for fractions, with unlike denominators, and find their sums and differences in simplest form.

Give missing numbers or figures in a pattern.

Estimate sums and differences of fractions and mixed numbers using
a number line, benchmark fractions, and rounding to the nearest whole number.

Find sums of mixed numbers with and without renaming.

Find differences of mixed numbers with and without renaming.

 For a variety of problems, state the computation method to be used and add or subtract using that method.

Obtain exact or estimated results to solve problems in real-world contexts.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

 

Like denominators, common denominator

Unlike denominators, least common multiple, least common denominator

Round

Mixed number

 

Foresman Wesley: Chapter 4-Lesson 1-Adding and Subtracting Fractions with Like Denominators 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 2-Adding and Subtracting Fractions with Unlike Denominators 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 3-Look for a Pattern 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 4-Estimating Sums and Differences of Fractions and Mixed Numbers 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 5-Adding Mixed Numbers 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 6-Subtracting Mixed Numbers - 01 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 7-Choose a Computation Method 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 8-Exact Answer or Estimate 
10/1/2007

Foresman Wesley: Chapter 4-Lesson 9-Hovercraft 
10/1/2007

 

M6.A.1.1 ~ Express numbers in equivalent forms.

 

M6.A.1.2 ~ Compare quantities and/or magnitudes of numbers.

 

 

 

 

 

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Multiplying and Dividing Fractions

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Multiply a fraction times a whole number.

Give the product of two fractions.

Estimate the product or quotient of two fractions.

Multiply mixed numbers.

Solve word problems by making
organized lists.

Divide fractions.

Find the quotients
of divisions with mixed numbers.

Write word phrases as, and evaluate, algebraic expressions with fractions.

Solve
one-step equations in one variable with fractions.

Explain solutions to word problems.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Greatest Common Factor (GCF)

PDE: Concept of "simplification of fractions"

PDE: Least Common Multiple (LCM)

PDE: Divisibility Rules

PDE: Estimation

PDE: Whole numbers

PDE: Decimals

PDE: Computation

PDE: Word problems

PDE: Arithmetic operations (+, -, x, ÷)

PDE: Whole numbers

PDE: Decimals

PDE: Fractions

 

Greatest common factor

Compatible numbers, round

Reciprocal, multiplicative inverse

PDE: Find the Greatest Common Factor (GCF) of two numbers (through 50).

PDE: Use the GCF to simplify fractions.

PDE: Find the Least Common Multiple (LCM) of two numbers (through 50).

PDE: Use the LCM to find the common denominator of two fractions.

PDE: Use estimation to solve problems involving whole numbers (up to 2-digit divisors and 4 operations).

PDE: Use estimation to solve problems involving decimals (up to 2-digit divisors and 4 operations).

PDE: Solve problems involving operations (+, -, x, ÷) with whole numbers - straight computation or word problems.

PDE: Solve problems involving operations (+, -, x, ¸) with decimals (through thousandths) - straight computation or word problems.

PDE: Solve problems involving operations (+, -, x, ¸) with fractions (avoid complicated LCDs) - straight computation or word problems.

 

Foresman Wesley: Chapter 5-Lesson 1-Multiplying a Fraction and a Whole Number 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 2-Multiplying Fractions 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 3-Estimating with Fractions and Mixed Numbers 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 4-Multiplying Mixed Numbers 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 5-Make an Organized List 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 6-Dividing Fractions 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 7-Dividing Mixed Numbers 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 8-Algebra Expressions with Fractions 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 9-Algebra Solving Equations with Fractions 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 10-Writing to Explain 
11/1/2007

Foresman Wesley: Chapter 5-Lesson 11-Honeybees 
11/1/2007

 

M6.A.1.3 ~ Apply number theory concepts (i.e., factors, multiples).

 

M6.A.1.4-OLD ~ Apply number theory concepts (i.e., factors, multiples). (For 2006-2007, this has become M6.A.1.3)

 

M6.A.3.1 ~ Apply estimation strategies to a variety of problems.

 

M6.A.3.2 ~ Solve problems with and without the use of a calculator.

 

 

 

 

Ratio, Rates. and Proportion

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Express comparisons as ratios in three ways.

Create equal ratios.

Find the unit rate for a given rate, and use rates to identify the better buy or the lower rate.

Find, and write in sentences, solutions to word problems involving rates.

Identify ratios
that form proportions.

Solve proportions whose terms are whole numbers or money.

Use cross products to solve proportions.

Solve word problems and explain how the solution was obtained.

Use formulas to solve problems involving rates.

Solve word problems based on scale drawings.

 Review and apply key concepts, skills, and strategies learned in this and previous chapters.

 

Ratio, terms

Proportion, vary proportionally, cross products

Cross products

Formula

Scale drawing, scale

 

Foresman Wesley: Chapter 6-Lesson 1-Understanding Ratios 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 2-Equal Ratios 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 3-Rates and Unit Rates 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 4-Use Objects 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 5-Understanding Proportions 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 6-Solving Proportions 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 7-Solving Proportions Using Cross Products 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 8-Writing to Explain 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 9-Algebra Using Formulas 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 10-Scale Drawings and Maps 
11/1/2007

Foresman Wesley: Chapter 6-Lesson 11-The Stars and Stripes 
11/1/2007

 

M6.A.1.3 ~ Apply number theory concepts (i.e., factors, multiples).

 

M6.A.2.1 ~ Select and/or use operations to simplify or solve problems.

 

M6.A.2.2 ~ Use ratios to solve problems involving rates. OBSOLETE AS OF 2006-2007

 

 

 

 

 

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Percent

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Write percents.

Change among fractions, decimals, and percents.

Write to explain why something is or is not possible.

Use mental math to find the percent of a number.

Find a percent of a number.

Some complex problems can be solved
by breaking them apart or changing them into smaller parts.

Find the sales tax and find the sale price after a discount.

Determine the percent of increase or decrease in an amount.

Use the simple interest formula to determine the amount of interest and the total amount of money.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Percents

PDE: Drawings

PDE: Graphs

PDE: Associative property

PDE: Commutative property

PDE: Distributive property

PDE: Identity

PDE: Equations

 

Percent

Principal, interest, interest rate, simple interest

PDE: Model percents (through 100%) using drawings.

PDE: Model percents (through 100%) using graphs. (e.g., circle graph)

PDE: Model percents (through 100%) using sets (e.g., base ten blocks)

PDE: Complete equations by using the associative property.

PDE: Complete equations by using the commutative property.

PDE: Complete equations by using the distributive property

PDE: Complete equations by using identity.

 

Foresman Wesley: Chapter 7-Lesson 1-Understanding Percent 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 2-Fractions, Decimals, and Percents 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 3-Writing to Explain 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 4-Mental Math: Finding a Percent of a Number 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 5-Estimating with Percents 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 6-Finding a percent of a Number 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 6- Finding a Percent of a Number 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 7-Solve a Simpler Problem 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 8-Algebra Sales Tax and Discount 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 9-Algebra Percent of Increase and Decrease 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 10-Simple Interest 
12/1/2007

Foresman Wesley: Chapter 7-Lesson 11-Airports 
12/1/2007

 

M6.A.1.4 ~ Use or develop models to represent percents.

 

M6.A.1.4-OLD ~ Apply number theory concepts (i.e., factors, multiples). (For 2006-2007, this has become M6.A.1.3)

 

M6.A.2.1 ~ Select and/or use operations to simplify or solve problems.

 

 

 

 

 

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Algebra: Integers and Rational Numbers

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Read, write, and use positive and negative integers.

Compare and order integers.

Identify, write, compare, and order rational numbers.

Solve a problem by choosing an operation.

Add integers using a number line and using the rules for adding integers.

Subtract integers.

Multiply integers.

Divide integers.

Solve
equations involving positive and negative integers.

Solve problems that require finding the original times, measurements, or quantities that led
to a result that
is given.

PDE: Inverse operation

PDE: One-step equation

PDE: Inverse operation

PDE: One-step equation

PDE: Pattern element

PDE: Table

PDE: Chart

PDE: Graph

PDE: Concept of "pattern"

PDE: Rule

PDE: Pattern

PDE: Inverse operation

PDE: One-step equation

PDE: Inverse operation

PDE: One-step equation

PDE: Equation

PDE: Expression

PDE: Variable

PDE: Concept of "verbal math situation"

 

Opposites, integers, positive integers, negative integers, absolute value

Rational number

Absolute value

T-table, linear equation

PDE: Identify the inverse operation needed to solve a one-step equation.

PDE: Solve a one-step equation (i.e., using the inverse operation -whole numbers only).

PDE: Create, extend or find a missing element in a pattern displayed in a table. (pattern must show at least 3 repetitions - may use up to 2 operations with whole numbers).

PDE: Create, extend or find a missing element in a pattern displayed in a chart (pattern must show at least 3 repetitions - may use up to 2 operations with whole numbers).

PDE: Create, extend or find a missing element in a pattern displayed in a graph (pattern must show at least 3 repetitions - may use up to 2 operations with whole numbers).

PDE: Determine a rule based on a pattern (displayed on a table, chart or graph).

PDE: Illustrate a pattern based on a given rule (pattern must show at least 3 repetitions)

PDE: Identify the inverse operation needed to solve a one-step equation.

PDE: Solve a one-step equation (i.e., using the inverse operation -whole numbers only).

PDE: Match an equation involving one variable, to a verbal math situation (one operation only).

PDE: Match an expression involving one variable, to a verbal math situation (one operation only).

 

Foresman Wesley: Chapter 8-Lesson 1-Algebra Understanding Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 2-Algebra Comparing and Ordering Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 3-Algebra Understanding Rational Numbers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 4-Choose an Operation 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 5-Algebra Adding Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 6-Algebra Subtracting Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 7-Algebra Multiplying Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 8-Algebra Dividing Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 9-Algebra Solving Equations with Integers 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 10-Work Backward 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 11-Algebra Graphing Ordered Pairs 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 12-Algebra Patterns and Tables 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 13-Algebra Graphing Equations 
1/1/2008

Foresman Wesley: Chapter 8-Lesson 14 Extreme Weather 
1/1/2008

 

M6.D.1.1 ~ Create or extend patterns.

 

M6.D.1.2 ~ Analyze patterns.

 

M6.D.2.1 ~ Select and/or use appropriate strategies to solve number sentences.

 

M6.D.2.2 ~ Create and/or interpret expressions or equations that model problem situations.

 

M6.D.3.1 ~ Interpret relationships between variables in a graph. OBSOLETE AS OF 2006-2007

 

 

 

 

 

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Geometry

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Identify important geometric terms relating to lines, parts of a line, angles, and planes.

Measure and draw angles, and classify angles according to
their measures.

Identify
and find the measures
of congruent, vertical, adjacent, complementary, and supplementary angles.

Construct perpendicular and angle bisectors and congruent angles.

Draw pictures that represent the information given in problems.

Identify and classify polygons.

Identify, classify, and find missing angle measures in triangles.

Identify, classify, and find missing angle measures in quadrilaterals.

Identify relationships between parts of a circle such as center, radius, diameter, chord, sector, semicircle and central angle, and construct circles.

 Identify congruent figures and similar figures, and find missing measures in similar and congruent figures.

Determine whether a pair of congruent figures are related by a slide (transformation), flip (reflection), a glide reflection, or turn (rotation), and determine the direction and number of degrees in a rotation.

Compare how geometric figures are alike
and how they are different.

Identify and make symmetrical figures and draw a line or lines of symmetry.

Create tessellations and recognize figures that tessellate.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Polygons

PDE: Scalene triangles

PDE: Equilateral triangles

PDE: Isosceles triangles

PDE: Right triangles

PDE: Acute triangles

PDE: Obtuse triangles

PDE: Diameter

PDE: Radius

PDE: Triangle

PDE: Quadrilateral

PDE: Circle

PDE: Degrees

PDE: Parallel lines

PDE: Perpendicular lines

PDE: Points

PDE: Planes

PDE: Lines

PDE: Line Segments

PDE: Rays

PDE: Angles

PDE: Vertices

PDE: Quadrant I

PDE: x-axes

PDE: y-axes

PDE: Intervals

PDE: Ordered pair

 

Point, line, ray, line segment, midpoint, congruent line segments, plane, intersecting lines, parallel lines, perpendicular lines, skew lines

Angle, sides, vertex, interior, exterior, degrees, protractor, acute angle, right angle, obtuse angle, straight angle

Congruent angles, vertical angles, adjacent angles, complementary angles, supplementary angles

Construction, straightedge, compass, arc, perpendicular bisector, angle bisector

Polygon, triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, dodecagon, diagonal, regular polygon

Acute triangle, right triangle, obtuse triangle, equilateral triangle, isosceles triangle, scalene triangle

Quadrilateral, trapezoid, parallelogram, rhombus, rectangle, square

Circle, center, radius, diameter, chord, central angle, arc, sector, semicircle

Congruent figures, similar figures

Slide ( translation ), flip ( reflection ), turn ( rotation ), glide reflection

Reflection symmetry, line of symmetry, rotational symmetry

Tessellation

PDE: Identify polygons (up to ten sides.)

PDE: Classify polygons (up to ten sides.)

PDE: Compare polygons (up to ten sides.)

PDE: Identify all types of triangles (scalene, equilateral, isosceles, right, acute, obtuse).

PDE: Describe the properties of all types of triangles (scalene, equilateral, isosceles, right, acute, obtuse).

PDE: Identify the measure of the diameter and/or radius of a circle (when one or the other is given)

PDE: Identify the total number of degrees in a triangle, quadrilateral and/or circle.

PDE: Use the total number of degrees in a triangle, quadrilateral and/or circle.

PDE: Identify, describe and/or label parallel lines.

PDE: Identify, describe and/or label perpendicular lines.

PDE: Identify, describe and/or label intersecting lines.

PDE: Identify points, planes, lines, line segments, rays, angles and vertices.

PDE: Draw points, planes, lines, line segments, rays, angles and vertices.

PDE: Label points, planes, lines, line segments, rays, angles and vertices.

PDE: Plot points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

PDE: Locate points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

PDE: Identify points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

 

Foresman Wesley: Chapter 9-Lesson 1-Geometric Ideas 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 2-Measuring and Drawing Angles 
2/1/2008

Foresman Wesley: Lesson 3-Angle Pairs 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 4-Constructions 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 5-Draw a Picture 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 6-Polygons 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 7-Triangles 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 8-Quadrilaterals 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 9-Circles 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 10-Congruent and Similar Figures 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 11-Transformations 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 12-Writing to Compare 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 13-Symmetry 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 14-Tessellations 
2/1/2008

Foresman Wesley: Chapter 9-Lesson 15-Neuschwanstein Castle 
2/1/2008

 

M6.C.1.1 ~ Define and/or use basic properties of triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, decagons and circles.

 

M6.C.1.2 ~ Represent and/or use concepts and relationships of lines and line segments.

 

M6.C.3.1 ~ Identify, plot, or match points given an ordered pair.

 

 

 

 

 

M
A
R
C
H

Measurement

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Change between customary units of length, weight, and capacity.

Change between metric units of length, mass, and
capacity.

Measure length to the nearest inch, half inch, quarter inch, eighth inch, sixteenth inch, centimeter, and millimeter. Identify the more precise unit of measure.

Convert between customary and metric measurements of length, capacity, and weight/mass.

Find elapsed time, starting time, or ending time, given two of these.

 Use logical reasoning along with
time-zone map and
time-zone clocks to compute elapsed time.

Select and use appropriate units, tools, and/or formula to measure and solve problems involving perimeter of regular and irregular polygons.

Find the area of
a rectangle or a square
by counting square units
or by using a formula.

For a given perimeter, find the
rectangle with the greatest
area, and given an area,
find the rectangle with
the least perimeter.

Develop and use the formulas for the areas
of parallelograms and triangles.

Measure the circumference of circles, find a pattern for circumference divided by diameter, and use a
formula to find the circumference or diameter, given the other dimension.

Find the area of a circle.

Solve problems involving too much information by using only the information needed,
and decide when there is not enough information to solve a problem.

 Classify polyhedra, identify the vertices, edges, and faces, identify a polyhedron from its
net, and draw top,
side, and front views
of polyhedra.

Find the volume of a prism or a cylinder by using a formula.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Elapsed time

PDE: AM

PDE: PM

PDE: Concept of "nearest 1/16 inch"

PDE: Concept of "nearest millimeter"

PDE: Concept of "precise measurement"

PDE: Measurement tool: Protractor

PDE: Angle

PDE: Perimeter

PDE: Polygon

PDE: Right angle

PDE: Straight angle

PDE: Acute angle

PDE: Obtuse angle

 

Capacity

Metric system, meter, liter, mass, gram, kilo-, centi-, milli-

Elapsed Time

Regular polygon, perimeter

Area

Base, height

Circumference, diameter, radius, pi

Polyhedron, face, edge, vertex, prism, pyramid, cylinder, cone, sphere, net

Surface area

Volume, cubic units

PDE: Determine elapsed time to the minute (time may cross AM to PM or more than one day).

PDE: Compare elapsed time to the minute (time may cross AM to PM or more than one day).

PDE: Read a ruler to the nearest 1/16 inch or millimeter.

PDE: Choose the more precise measurement of a given object (e.g., smaller measurements are more precise)

PDE: Measure angles using a protractor up to 180° - protractor must be drawn - one side of the angle to be measured should line up with the straight edge of the protractor.

PDE: Find the perimeter of any polygon (may include regular polygons where only the measure of one side is given – same units throughout).

PDE: Define right angles.

PDE: Label right angles.

PDE: Identify right angles.

PDE: Define straight angles.

PDE: Label straight angles.

PDE: Identify straight angles.

PDE: Define acute angles.

PDE: Label acute angles.

PDE: Identify acute angles.

PDE: Define obtuse angles.

PDE: Label obtuse angles.

PDE: Identify obtuse angles.

 

Foresman Wesley: Chapter 10-Lesson 1-Customary Measurement 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 2-Metric Measurement 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 3-Units of Measure and Precision 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 4-Relating Customary and Metric Measurements 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 5-Elapsed Time 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 6-Use Logical Reasoning 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 7-Algebra Perimeter 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 8-Algebra Area of Squares and Rectangles 
3/1/2008

Foresman and Wesley: Chapter 10-Lesson 9-Algebra Relating Area and Perimeter 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 10-Algebra Area of Parallelogram and Triangles 
3/1/2008

Foresman and Wesley: Chapter 10-Lesson 11-Algebra Circumference 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 12-Algebra Area of a Circle 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 13-Extra or Missing Information 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 14-Solid Figures 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 15-Algebra Surface Area 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 16-Algebra Volume 
3/1/2008

Foresman Wesley: Chapter 10-Lesson 17-Underground 
3/1/2008

 

M6.B.1.1 ~ Compare and/or determine elapsed time.

 

M6.B.1.2 ~ Solve problems using simple converstions. OBSOLETE AS OF 2006-2007

 

M6.B.2.1 ~ Choose or use appropriate tools and/or units to determine measurements within the same system.

 

M6.B.2.2 ~ Solve problems involving length, perimeter, area and/or volume of geometric figures.

 

M6.B.2.3 ~ Identify, label, and/or list properties of angles or triangles.

 

 

 

 

 

A
P
R
I
L

Data, Graphs, and Probability

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Identify the population studied in a survey, and tell whether the data are from a sample or the entire population.

Find the mean, median, mode, and range
of a set of data, and choose the measure that best represents a given set of data.

Make a frequency table and a line plot to display a set of data, describe how sets of data are distributed, and identify any outlier and its effect on the mean.

Make a
  stem-and-leaf plot and   analyze data displayed in a   stem-and-leaf plot.

Read and create double-bar graphs.

 Create
double-line graphs, and identify trends in the data displayed.

 Read and make circle graphs, and use information in circle graphs to solve problems.

 Make the most appropriate graph to represent a set of data.

Explain why a given graph is misleading.

 Find all possibilities of an event by drawing a tree diagram, making a list, or multiplying.

 Find the number of
arrangements of
a set of objects when order matters and when
order does not matter.

Express the probability of an event
as a fraction, decimal,
or percent.

Understand the difference between theoretical and experimental probability, and use probability to predict results.

Add probabilities to find the probability of mutually exclusive events.

Give the probability of two events as a fraction and as a percent.

Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Data

PDE: Circle graph

PDE: Double bar graph

PDE: Double line graph

PDE: Line plots

PDE: Concept of "representation of data"

PDE: Frequency table

PDE: Double-bar graphs

PDE: Line plots

PDE: Scale

PDE: Labels

PDE: Key

PDE: Center point

PDE: Mean

PDE: Median

PDE: Mode

PDE: Range

PDE: Table

PDE: Line Plot

PDE: Probability

PDE: Combinations

PDE: Arrangements

PDE: Tree diagram

PDE: Table

PDE: Grid

 

Data, population, sample, survey, representative sample, biased sample, statistics, random sampling

Range, mean, median, mode, minimum, maximum

Frequency table, interval, line plot, outlier

Stem-and-leaf plot

Double-bar graph, axis ( pl. axes)

Line graph, trend, double-line graph, axis

Circle graph, central angle, sector

Tree diagram, Counting Principle, event, outcome, sample space, compound event

Permutation, combination

Probability, impossible event, certain event

Theoretical probability, experimental probability, trial

Compound event, mutually exclusive, disjoint

Independent events, dependent events

PDE: Analyze data and/or answer questions pertaining to data represented in frequency tables.

PDE: Analyze data and/or answer questions pertaining to data represented in circle graphs (for circle graphs, no computation with percents).

PDE: Analyze data and/or answer questions pertaining to data represented in double bar graphs.

PDE: Analyze data and/or answer questions pertaining to data represented in double line graphs.

PDE: Analyze data and/or answer questions pertaining to data represented in line plots.

PDE: Choose the appropriate representation for a specific set of data (choices should be the same type of graph).

PDE: Display data in frequency tables using a title, appropriate scale, labels and a key when needed.

PDE: Display data in circle graphs using a title, appropriate scale, labels and a key when needed. Circle graphs for open-ended items must show a center point and tic marks.

PDE: Display data in double-bar graph using a title, appropriate scale, labels and a key when needed.

PDE: Display data in line plots using a title, appropriate scale, labels and a key when needed.

PDE: Determine/calculate the mean of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the median of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the mode of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the range of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Define the probability of a simple event (express as a fraction in lowest terms).

PDE: Find the probability of a simple event (express as a fraction in lowest terms).

PDE: Determine all possible combinations involving no more than 20 total arrangements (e.g., tree diagram, table, grid).

 

Foresman Wesley: Chapter 11-Lesson 1-Samples and Surveys 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 2-Mean, Median, Mode, and Range 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 3-Frequency Tables and Line Plots 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 4-Stem-and-Leaf Plots 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 5-Bar Graphs 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 6-Line Graphs 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 7-Circle Graphs 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 8-Make a Graph 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 9-Misleading Graphs 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 10-Counting Methods 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 11-Permutations and Combinations 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 12-Probability 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 13-Predictions and Probability 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 14-Adding Probabilities 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 15-Multiplying Probabilities 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 16-Writing to Describe 
4/1/2008

Foresman Wesley: Chapter 11-Lesson 17-Age and Growth 
4/1/2008

 

M6.E.1.1 ~ Interpret data shown in frequency tables, histograms, circle, bar or double bar graphs, line or double line graphs or line plots.

 

M6.E.2.1 ~ Describe data sets using mean, median, mode and/or range.

 

M6.E.3.1 ~ Determine all possible combinations, outcomes and/or calculate the probablilty of a simple event.

 

 

 

 

 

M
A
Y

Algebra: Inequalities, Equations, and Graphs

 

 

 Content 

 

 Skills 

 

 Lessons 

 

 Standards 

 

Use the number line to graph inequalities, and write inequalities for graphs of inequalities.

Solve addition and subtraction inequalities.

When there seem to be many possible answers, the strategy Try, Check, and Revise can provide a starting point.

Translate phrases into algebraic expressions.

 Solve two-step equations.

Write equations to describe patterns.

Graph equations and use graphs to solve equations.

Convert between Fahrenheit and Celsius temperatures using formulas.

 Review and apply key concepts, skills, and strategies learned in this and previous chapters.

PDE: Quadrant I

PDE: x-axes

PDE: Pattern element

PDE: Table

PDE: Chart

PDE: Graph

PDE: Rule

PDE: Pattern

PDE: Frequency table

PDE: Circle graph

PDE: Double bar graph

PDE: Double line graph

PDE: Line plots

PDE: Frequency table

PDE: Circle graphs

PDE: Double-bar graphs

PDE: Line plots

PDE: Scale

PDE: Labels

PDE: Key

PDE: Mean

PDE: Median

PDE: Mode

PDE: Range

PDE: Table

PDE: Line Plot

 

Inequality

Inverse operations, properties of inequality

Inverse operations, solve

Linear equation

Degrees Fahrenheit, degrees Celsius

PDE: Plot points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

PDE: Locate points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

PDE: Identify points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

PDE: Create, extend or find a missing element in a pattern displayed in a table. (pattern must show at least 3 repetitions - may use up to 2 operations with whole numbers).

PDE: Analyze data and/or answer questions pertaining to data represented in frequency tables.

PDE: Analyze data and/or answer questions pertaining to data represented in circle graphs (for circle graphs, no computation with percents).

PDE: Analyze data and/or answer questions pertaining to data represented in double bar graphs.

PDE: Analyze data and/or answer questions pertaining to data represented in double line graphs.

PDE: Analyze data and/or answer questions pertaining to data represented in line plots.

PDE: Display data in frequency tables using a title, appropriate scale, labels and a key when needed.

PDE: Display data in circle graphs using a title, appropriate scale, labels and a key when needed. Circle graphs for open-ended items must show a center point and tic marks.

PDE: Display data in double-bar graph using a title, appropriate scale, labels and a key when needed.

PDE: Display data in line plots using a title, appropriate scale, labels and a key when needed.

PDE: Determine/calculate the mean of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the median of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the mode of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

PDE: Determine/calculate the range of displayed data (data can be displayed in a table or line plot – use whole numbers only up to 2 digits).

 

Foresman Wesley: Chapter 12-Lesson 1-Algebra Graphing Inequalities 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 2-Algebra Solving Inequalities 
5/1/2008

Foresman Wesley:Chapter 12-Lesson 3-Try, Check, and Revise 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 4-Algebra Translating Words to Expressions 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 5-Algebra Solving Two-Step Equations 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 6-Algebra Patterns and Equations 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 7-Algebra Equations and Graphs 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 8-Algebra Temperature 
5/1/2008

Foresman Wesley: Chapter 12-Lesson 9-Olympics 
5/1/2008

 

M6.C.3.1 ~ Identify, plot, or match points given an ordered pair.

 

M6.D.1.1 ~ Create or extend patterns.

 

M6.D.1.2 ~ Analyze patterns.

 

M6.E.1.1 ~ Interpret data shown in frequency tables, histograms, circle, bar or double bar graphs, line or double line graphs or line plots.

 

M6.E.2.1 ~ Describe data sets using mean, median, mode and/or range.

 

 

 

 

 

;