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Teacher: CORE Math Grade 6 Year: 2014-15 Course: Math Grade 6 Month: All Months

Lessons 1-10 + Investigation 1

Standards Essential Questions AssessmentsSkills Content LessonsResources

2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.2.6.C-Apply the associative, commutative, distributive, and/or identity properties to evaluate numerical expressions.

What is the proper process for adding and subtracting whole numbers?What property allows the order of addends to be changed?What property shows that adding zero does not change the original value?

Lesson 1 - Practice Set a-f 9/7/2014Written Practice 9/7/2014

Compute the sum and difference of two or more whole numbersIdentify the commutative and identity property of addition

addendscommutative property of additiondifferencefact familyidentity property of additioninverse operationminuendsubtrahendsum

Lesson 1 Saxon Math Course 1 pg. 7-11

2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.2.6.C-Apply the associative, commutative, distributive, and/or identity properties to evaluate numerical expressions.

What is the proper process for multiplying and dividing whole numbers?What property allows the order of factors to be changed?What property shows that multiplying by one does not change the original value?

Practice Set a-h 9/8/2014Written Practice 9/8/2014

Identify the expressions that indicate division and multiplicationCompute the product and quotient of two whole numbersIdentify the commutative property, identity property, and zero property of multiplication

Commutative property of multiplicationIdentity property of multiplicationzero property of multiplicationquotientdividenddivisorfactorsproducts


2.8.6.C-Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of whole number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.

What is the process for finding a missing minuend in a subtraction problem?What is the process for finding a missing subtrahend in a subtraction problem?What is the process for finding a missing addend in an addition problem?What is the process for evaluating the correctness of the unknown value in an equation?

Practice Set a-i 9/9/2014Written Practice 9/9/2014

Identify an unknown addend in an addition problem using subtraction

Evaluate answer by substituting the answer in for the variable in original problemIdentify the unknown minuend in a subtraction problem by adding the subtrahend and the differenceIdentify the unknown subtrahend in a subtraction problem by subtracting the difference from the minuend

EquationUnknown



What is the process for finding a missing dividend or divisor in a division problem?What is the process for finding a missing factor in a multiplication problem?


Identify an unknown factor in a multiplication problem using divisionIdentify the unknown dividend in a division problem using multiplicationIdentify the unknown divisor in a division problem using division

UnknownEquationproductsfactorsdivisordividend


2.2.7.C-Use the order of operations to evaluate numerical expressions.

What is the process for solving an expression with two or more operations?Which property states that the


Simplify an expression that uses more than one operation by following the correct order of operationsIdentify the Associative Property of Addition and the Associative Property of Multiplication

associative property of additionassociative property of multiplication


grouping of addends or factors does affect the answer?

order of operations Saxon Math Course 1 pg. 32-35

2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.

How do you use a fraction to name a part of a whole?How do you divide to find fractional parts of a number?


Identify a fraction to name a part of a wholeIdentify a fraction to name a part of a groupDivide a number into equal parts to find a fractional part of that number

DenominatorFractionsNumerator


2.3.6.D-Perform basic conversions within the metric and within the customary systems.

How do you find the measure of a line in inches and centimeters?How can you differentiate between line, segments, and rays?


Identify lines, segments, and raysMeasure line segments to the nearest quarter inch using an inch rulerMeasure line segments in centimeters and millimeters using a centimeter ruler

EndpointsLineraySegmentMetric SystemInternational System

U.S. Customary System


2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.

How do you find the perimeter of a room?How do you compute the distance around a figure?


Compute the perimeter of a shape by adding the length of the shape's sidesCompute the length of a side of a square when the perimeter of the square is known

perimeter Lesson 8 Saxon Math Course 1 pg. 42-45

2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

How are numbers arranged on a number line?What symbols are used to represent greater than, less than, and equal to?


order numbers on a number line from least to greatestidentify greater than, less than, and equal to symbols

write comparisons that are stated in words using symbols

counting numbersnegative numbersnumber linewhole numbers



What are ways to find a rule of a sequence?What are the uses of even and odd numbers?


identify addition and multiplication sequencesanalyze the rule for a sequence and use it to find missing numbers in the sequenceidentify even and odd numbersread the number indicated on a scale

Celsius scaleeven numbersFahrenheit scaleodd numbersscalesequencedigitterm


Test 1 9/21/2014 Test 1 Saxon Math Course 1 pg. 73-77

2.6.6.A-Gather data from a variety of appropriate sources.2.6.6.B-Select an appropriate method to organize data; select an appropriate format to display data.

When is it appropriate to make a frequency table?When is it appropriate to make a histogram?

Interpret a frequency tableCount and write tally marksmake a frequency tablemake a histograminterpret a histograminterpret survey results

bar graphfrequency tablehistogramsamplesurvey

Investigation 1

Saxon Math Course 1 pg. 54-57

Lessons 11-20 ~ This unit covers lessons 11-20, Tests 2 & 3, and Investigation 3


2.5.5.A-Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.2.8.6.C-Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of whole number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.

When looking at a pattern, when should you combine or separate?What steps do you follow when solving a word problem?

Practice Set a-c 9/23/2014Written Practice 9/23/2014

identify the addition and subtraction pattern in word problems about combining and separatingfollow a four step problem to solve word problemswrite an equation to solve word problems about combining and separating

combiningseparating


2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

How do you determine the place value of a number?

Practice Set a-e 9/24/2014Written Practice 9/24/2014

identify place value through trillions of a digit in a whole numberwrite through trillions using words and digits

place value Lesson 12 Saxon Math Course 1 pg. 63-67

2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.

How do you determine the time difference between one time to another?

Practice Set a-b 9/27/2014Written Practice 9/27/2014

write an equation to solve an elapsed time problem elapsed time Lesson 13 Saxon Math Course 1 pg. 68-72


When is a number line needed?How is it determined if numbers are opposite?

Practice Set a-l 9/28/2014Written Practice 9/28/2014

order and compare numbers using a number lineidentify numbers that are oppositessubtract a larger number from a smaller number using a number line

integersoppositespositive numbersnegative numbers


2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.

Why is it important to learn how to do equal groups?


identify the pattern in a word problem about equal groupswrite an equation to solve a word problem about equal groups

EquationfactorUnknown


Test 2 9/30/2014 Test 2 2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

When is it appropriate to estimate numbers?Why is it important to use rounding?

Practice Set a-o 10/1/2014Written Practice 10/1/2014

round whole numbers to the nearest ten, hundred, and thousandround numbers to obtain estimated answers

estimateround


2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.

When is it needed to measure to the nearest sixteenth of an inch?Where on the number line does a fraction or mixed

Practice Set a-g 10/4/2014Written Practice 10/4/2014

represent a fraction or mixed number on a number linemeasure the length of segments to the nearest sixteenth of an inch

mixed numbers Lesson 17 Saxon Math Course 1 pg. 87-92

number lie? 2.6.6.C-Select and use, as appropriate, the mean, median, mode, and/or range to describe sets of data.2.6.6.E-Interpret data displayed in a table, histogram, graph, or data summarized by numerical measures.

Why is average important?What is a line graph used for?


make equal groups to find an averageCompute the average of several numbersidentify a number halfway between two numbers by finding the average of the two numbersinterpret a line graph

averageline graphmeangraph


2.1.5.E-Develop and apply number theory concepts (e.g., primes, factors, multiples, composites) to represent numbers in various ways.

How is a prime number identified?What are factors?


identify all the factors of a given numberidentify prime numbers

prime numberfactor


2.1.6.E-Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.

How is the greatest common factor computed?


Identify the greatest common factor of two or more numbers greatest common factor


Test 3 10/8/2014 Test 3 2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.

How are fraction problems solved with manipulatives?

manipulate fraction bars to solve problems improper fractionsnonexamples

Investigation 2


Lessons 21 to 30 ~ This unit covers lessons 21 to 30, tests 4 and 5, and investigation 3

Standards Essential Questions Assessments Skills Content LessonsResources


What rules make it possible to determine whether or not a number is divisible by 2, 3, 5, 9, or 10?

Practice Set a-d 10/13/2014Written Practice 10/13/2014

identify whether a number is or is not divisible by 2, 3, 5, 9, or 10identify factors of given numbers using the divisibility rules

divisibility rulesfactors


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

What is the correct process for solving equal groups problems with fractions?How does dividing objects into equal groups help to find a fractional part of a number?

Practice Set a-f 10/14/2014Written Practice 10/14/2014

divide objects into equal groups to find the fractional part of a numbercalculate the fractional part of a group using two steps

equal groupsfractional parts


2.1.7.C-Use ratio and proportion to model relationships between quantities.2.1.7.F-Understand the concepts of ratio, proportion, percents, and rates to determine unknown quantities in equations.

How are ratios used to describe relationships between numbers? What are the different forms of representing a ratio?What makes rate problems like equal groups problems?


write a ratio to represent a numerical relationshipcalculate rates for speed, mileage, and unit price

ratioratesmileagespeedunit price


2.2.6.B-Add, subtract, multiply, and divide whole numbers,

What is the correct process for adding and

Practice Set a-g 10/18/2014

add and subtract fractions with like denominatorsmodel the process of adding and subtracting fractions

common denominatorfractional parts

Lesson 24 Saxon Math Course 1 pg.

decimals, fractions, and mixed numbers.2.4.6.A-Use models, properties, and relationships to draw conclusions and explain reasons for conclusions.

subtracting fractions with like denominators?How can manipulatives be used to model the process of adding and subtracting fractions?

Written Practice 10/18/2014

using fraction manipulatives 127-131

2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.E-Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How can a division answer be expressed as a mixed number?How can an improper fraction be expressed as a mixed number?What is the process for finding multiples of a given number?


write the answers to a division problem as a mixed numberwrite improper fractions as mixed numberslist the multiples of a given number

mixed numberimproper fractionsmultiples


Test 4 10/20/2014 Test 4 2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How can manipulatives be used to model reducing fractions?What is the correct process for adding and subtracting mixed numbers?What is the correct process for reducing fractions and/or mixed numbers?


reduce fractions with and without the use of manipulativesadd and subtract mixed numbersreduce answers when adding and subtracting mixed numbers

reducefractionsmixed numbers


2.3.7.C-Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles.

What is the relationship between the radius and diameter of a circle?What is the relationship between the diameter and circumference of a circle?


identify the circumference, diameter, and radius of a circledraw a circle with a given radius using a compasscalculate the diameter of a circle when the radius is knowncalculate the radius of a circle when the diameter is known

circumferencecompassdiameterradiuscircleconcentric circles


2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.7.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

What are the different types of lines and angles?What is the proper way to name an angle?

Practice set a-k 10/25/2014Written Practice 10/25/2014

identify parallel, perpendicular, and oblique linesidentify right, acute, and obtuse anglesname angles using one letter, three letters, or one number

acute angleanglesintersectoblique linesrayobtuse angleparallel linesperpendicular linesplaneright anglevertexnaming an angle



What is the correct process for multiplying fractions?What is the correct process for reducing fractions?

practice set a-j 10/26/2014Written Practice 10/26/2014

multiply a fraction or whole number by a fractionreduce a fraction by using the GCF or another common factor

reduceGCFfactor


2.1.6.E-Apply number theory concepts to calculate the GCF

What is the correct process for identifying the

practice set a-m 10/27/2014

identify common multiples of two numbersidentify the LCM of two numbers

LCMreciprocal

Lesson 30 Saxon Math Course 1 pg.

(Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.

multiples of a given number?What is the product of a number and its reciprocal?

Written Practice 10/27/2014

identify reciprocals as numbers that have a product of 1create the reciprocal of a given number by reversing the numerator and denominator

termmultiple

156-160

Test 5 10/28/2014 Test 5 2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.7.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How is a protractor used to find the measure of an angle?How is a protractor used to draw an angle with a given measure?

measure an angle in degrees using a protractordraw an angle with a given measure using a protractor

degreesanglesprotractoracute angleobtuse angleright anglestraight angle

Investigation 3


Lessons 31 to 40 ~ This unit will cover lessons 31 to 40, tests 6 and 7, and investigation 4


2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.2.11.6.C-Estimate areas and volumes of shapes and solids as the sums of areas of tiles and volumes of cubes.

Why are units squared when measuring area?What is the correct process for measuring the area of a rectangle?What is the relationship between the length of the sides of a square and the area of the square?

Lesson 31 practice set a-h 11/1/2014Lesson 31 Written Practice 11/1/2014

identify square units as the units used to measure areamultiply length by width to find area of a rectanglecalculate the side length and perimeter of a square when the area is known

arearectanglelengthwidthsquare units


2.1.7.B-Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.

What is the proper way to represent the time that has past between two events?How do you represent the value of each digit within a large whole number?


write a number in expanded notationwrite a number in standard notationrename units of time to solve elapsed-time problems

elapsed timeexpanded notationstandard notationa.m.p.m.place value


2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.

How can you represent a value as both a fraction and percent?

Lesson 33 practice set a-j 11/3/2014Lesson 33 Written Practice 11/3/2014

write a percent as a reduced fraction percent Lesson 33 Saxon Math Course 1 pg. 174-177

2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

How is the value of a digit within a decimal represented and determined?Why is thinking about money a helpful way to

Lesson 34 practice set a-f 11/4/2014Lesson 34 Written Practice 11/4/2014

identify the value of decimal places through the millionthsname the digit that occupies a specific decimal place in a numbername the decimal place occupied by a given digit in a number

decimal place valuesdecimal point


remember decimal place values?

2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

How can you represent a value as both a decimal and a fraction?How does knowing decimal place values help to read and write a decimal numeral?

Lesson 35 practice set a-o 11/5/2014Lesson 35 Written Practice 11/5/2014

write a decimal number as a fractionwrite a fraction as a decimal numberread and write decimal numbers in word formwrite the word form of a decimal number

equivalent decimals and fractionsword form


Test 6 11/8/2014 Test 6 2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

What is the correct process for subtracting fractions and mixed numbers from whole numbers?


subtract a fraction from a whole numbersubtract a mixed number from a whole number

fractionmixed numberwhole numbersubtraction



What is the correct process for adding and subtracting decimals?


add decimal numberssubtract decimal numbers

additionsubtractiondecimal numerals


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.1.7.B-Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).

What is the proper process for adding and subtracting decimal numbers and whole numbers?What exponent can be used to represent square units?

Lesson 38 practice set a-q 11/11/2014Lesson 38 Written Practice 11/11/2014

write a whole number with a decimal pointadd decimal numbers and whole numberssubtract whole numbers from decimal numberssquare a number and use an exponent of 2 to indicate the squaring of a numbersimplify an expression by applying exponents and then perform operationscalculate the square root of a number

baseexponentperfect squaresquare root



What is the correct process for multiplying decimal and whole numbers?

Lesson 39 practice set a-k 11/12/2014Lesson 39 Written Practice 11/12/2014

multiply a decimal number by a decimal numbermultiply a decimal number by a whole number

multiplicationdecimal numberwhole number


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.6.6.E-Interpret data displayed in a table, histogram, graph, or data summarized by numerical measures.

Why is it important to use 0 as a placeholder when using decimals in the four operations?How can it be determined if a circle graph is the best method of portraying data?What information can you get off of a circle graph?


fill in any empty decimal places with 0interpret information displayed in a circle graphgeneralize information from bar graph to circle graphcompare data displayed in a bar graph and circle graph

circle graphbar graphdecimal numbers and placeholders


Test 7 11/16/2014 Test 7 2.6.6.A-Gather data from a variety of appropriate sources.2.6.6.B-Select an appropriate method to organize data; select an appropriate format to display data.2.6.6.E-Interpret data displayed in a table, histogram, graph, or data summarized by numerical measures.

What makes data either qualitative or quantitative?What is a sample not representative of a population?What is the proper process for conducting a survey and collecting data?

describe whether data is quantitative or qualitative in naturecreate a surveyexplain sample vs. populationidentify bias in a surveyconduct surveys and collect data

Dataline plotpopulationqualitative dataquantitative datastatisticsbar graphsample

Investigation 4


Lessons 41-50 ~ This unit covers lessons 41 to 50, tests 8 and 9, and investigation 5

Standards Essential AssessmentsSkills Content LessonsResources

Questions2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How can a percent be expressed as a decimal?What is the correct process for determining sale tax of a purchase?

Lesson 41 practice set a-q 11/18/2014Lesson 41 Written Practice 11/18/2014

write a percent as a decimalcalculate the percent of a numbercalculate sales tax on a purchase

percentreducesales tax


2.1.6.A-Model and compare values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How can you form equivalent fractions?What is the process for adding or subtracting fractions with uncommon denominators?


rename fractions by multiplying by fractions equal to 1add or subtract fractions with different denominators

equivalent fractionsaddition/subtraction of fractions


2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.8.6.C-Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of whole number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.

Why is it important to create equivalent division problems?What is the process for finding an unknown number in a fraction or decimal number?


create equivalent division problems to find division answersidentify the value of the unknown in a fraction or decimal problem

UnknownvariableEquationdivision problems



How can you determine which decimal number is larger, smaller, or if they are equal when they do not have the same number of decimal places?


simplify decimal numberscompare and order decimal numbers

decimal numberscomparisonordering



What is the correct process for dividing a decimal number by a whole number?

Lesson 45 practice set a-jk 11/24/2014Lesson 45 Written Practice 11/24/2014

divide a decimal number by a whole number divisiondivisordividendquotient


Test 8 11/30/2014 Test 8 2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.1.5.D-Apply place value concepts to order and compare decimals and to express whole numbers and decimals in expanded notation.

How do you represent the value of each digit within a large whole number?

Lesson 46 practice set a-o 12/1/2014Lesson 46 Written Practice 12/1/2014

write a decimal number in expanded notationmentally multiply a decimal number by 10 or 100mentally multiply whole numbers by 10 or 100

expanded notationdecimal numbers mental multiplication


2.3.7.C-Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles.

What does the value of Pi represent?What is the relationship between the circumference and diameter of a circle?What is the relationship between the circumference and radius of a circle?

Lesson 47 practice set a-g 12/2/2014Lesson 47 Written Practice 12/2/2014

determine the value of PiCalculate the circumference of a circle using the formula C = Pi x diameter

Picircumference



What is the correct process for subtracting mixed numbers when regrouping is involved?


subtract mixed numbers through regrouping regrouping Lesson 48 Saxon Math Course 1 pg. 250-253


What is the correct process for dividing a whole number by a decimal number?What is the correct process for dividing a decimal number by a decimal number?

Lesson 49 practice set a-k 12/6/2014Lesson 49 Written Practice 12/6/2014

divide a decimal or whole number by a decimal number

divisiondecimal numberdivisor


2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How is the position of a decimal number determined on a number line?What is the correct process for dividing a whole number by a fraction?


locate and identify decimal numbers on a number linedivide a whole number by a fraction

number linereciprocal


Test 9 12/8/2014 Test 9 2.6.6.B-Select an appropriate method to organize data; select an appropriate format to display data.2.6.6.C-Select and use, as appropriate, the mean, median, mode, and/or range to describe sets of data.2.6.6.D-Use measures of central tendency to compare two sets of data.2.6.6.E-Interpret data displayed in a table, histogram, graph, or data summarized by numerical measures.

How can you determine which type of graph is best to display data?What is the correct process of finding the mean, median, mode, and range?

create bar graphs, pictographs, and circle graphs to display qualitative datacreate line plots and stem-and leaf plots to display quantitative datacalculate mean, median, mode, and range for a set of data points

bimodalmeanmedianmodepictographrangestem-and-leaf plotcircle graphline plot

Investigation 5


Lessons 51 to 60 ~ This unit covers Lessons 51 to 60, Tests 10 and 11, and Investigation 6

Standards Essential Questions Assessments Skills Content LessonsResources2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

How does place value effect the rounding of a decimal number?How is sales tax determined when the decimal number has more than 2 decimal place values?

Lesson 51 Practice Set a-k 12/10/2014Lesson 51 Written Practice 12/10/2014

round money amounts to the nearest cent

round decimal numbers to the nearest hundredth, tenth, and whole number

cents

sales tax

decimal place values

rounding



How can mental math be used to divide decimal numbers by a multiple of 10?

Lesson 52 Practice Set a-i 12/13/2014Lesson 52 Written Practice 12/13/2014

divide a decimal number by 10 mentallydivide a decimal number by 100 mentally

decimal numbers

mental math


2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

What are the important rules to follow when adding, subtracting, multiplying, and dividing decimal numbers?How can an improper fraction be represented as a mixed number?

Lesson 53 Practice Set a-e 12/14/2014Lesson 53 Written Practice 12/14/2014

calculate the sum, difference, product, and/or quotient of decimal and/or whole numberssimplify an improper fraction into a mixed number

operations involving decimal numbers

improper fractions

mixed numbers


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.1.5.B-Use number theory concepts and models to represent or rename whole

How can grouping factors help reduce a fraction?What is the correct process for dividing a fraction by a fraction?


reduce a fraction by grouping factors in the numerator and denominator that are equal to 1divide a fraction by a fraction

numerator

denominator

factor

division


numbers, fractions, and decimals. fractions

reciprocal 2.1.6.E-Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

Why do fractions have to have the same denominator in order to add or subtract them?How do you find a common denominator of two or more fractions?

Lesson 55 Practice Set a-g 12/16/2014Lesson 55 Written Practice 12/16/2014

find the least common denominator of two fractionsrename one fraction so that two fractions have common denominatorsadd or subtract two fractions that do not have common denominators

common denominators


Test 10 12/17/2014 Test 10 2.1.6.D-Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.2.1.6.E-Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How do you find a common denominator of two or more fractions?Why do fractions have to have the same denominator in order to add or subtract them?How can fractions with different denominators be compared?

Lesson 56 Practice Set a-i 12/20/2014Lesson 56 Written Practice 12/20/2014

rename two fractions so that the fractions have common denominatorsadd or subtract two fractions that do not have common denominatorscompare two fractions with unlike denominators by renaming one or both fractions

common denominators (continued)



What is the 3 step method for adding and subtracting fractions?

Lesson 57 Practice Set a-f 12/21/2014Lesson 57 Written Practice 12/21/2014

add or subtract fractions using 3 steps- shape, operate, simplify

addition and subtraction of fractions (3 steps: shape, operate, simplify)


2.7.6.A-Collect data and estimate the likelihood of outcomes of an event.2.7.6.C-Express the probability of a simple event as a fraction, decimal, and percent.2.7.6.D-List the possible outcomes for two independent events and compare the outcomes.2.7.6.E-Find and interpret the experimental probability of an outcome of a simple event.

How is the likelihood (probability) of an event occurring or not calculated?How can the probability be expressed as a decimal, fraction, and percent?

Lesson 58 Practice Set a-l 12/22/2014Lesson 58 Written Practice 12/22/2014

express the probability of an event as a reduced fraction, decimal, or percentexpress the probability that an event will NOT occur as a reduced fraction, decimal, or percentFind the probability of an event by dividing the number of outcomes in the event by the number of possible outcomes

chanceprobabilitysample spacecomplement of an event


2.1.6.E-Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

Can the three step method of shape, operate, simplify, used to add fractions be used to add mixed numbers too?Why do mixed numbers have to have a common denominator when adding?


add mixed numbers that do not have a common denominator using the three step method (shape, operate, simplify)

common denominatorsaddition of mixed numbers (3 step method: shape, operate, simplify)


2.3.6.C-Use given measurements to calculate a missing length, perimeter, area,

How are polygons named?What is the relationship between the perimeter of a regular

Lesson 60 Practice Set a-e 1/3/2015Lesson 60 Written

identify a polygon by the number of sides it hascalculate the length of a side of a regular polygon when given its perimeter

polygonregular polygoncongruent


and/or volume; Calculate elapsed time across am/pm and across days.

polygon and the length of its sides?

Practice 1/3/2015

Test 11 1/4/2015 Test 11 2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

How are the number of faces, edges and vertices determined for a given geometric solid?What are the names of some common geometric solids?How is volume of a geometric slid determined?

recognize, name, and draw common geometric solidsidentify the number of faces, edges, and vertices in various geometric solidsfind the surface area of a polyhedrondetermine the volume of a geometric solid by counting cubes

geometric solidspolyhedronfacesedgesverticesvolumesurface area

Investigation 6


Lessons 61-70 ~ This unit includes lessons 61-70, Investigation 7, and Tests 12 and 13

Standards Essential Questions Assessments Skills Content Lessons Resources


What is the process of adding three or more fractions or mixed numbers together?


add three or more fractions or mixed numbers

least common denominator Lesson 61 Saxon Math Course 1 pg. 320-323

2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.

How is a mixed number converted to an improper fraction?

Practice Set a-j 1/7/2015Written Practice 1/7/2015

convert a mixed number to an improper fraction

improper fraction Lesson 62 Saxon Math Course 1 pg. 324-328


How are least common denominators related to common denominators?


Rename fractions with common denominatorssubtract mixed numbers

sea level Lesson 63 Saxon Math Course 1 pg. 329-332

2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

What are the characteristics of certain polygons?


identify, classify, and draw quadrilaterals according to characteristics of their sides and angles

parallelogramrectanglerhombussquaretrapeziumtrapezoid


M5.A.1.6-Apply number theory concepts (i.e., primes, factors, multiples, composites). (Reference: 2.1.5.E)

What is the difference between a prime number and a composite number?How is a factor tree used?


identify a composite numberwrite the prime factorization of a given composite numbermake a factor tree to find the prime factorization of a given number

composite numberprime factorizationfactor tree



What is the correct process of multiplying mixed numbers?

Practice Set a-k 1/14/2015Written Practice 1/14/2015

multiply a mixed number by a whole numbermultiply a mixed number by a mixed number

terms

mixed numberwhole number



How does prime factorization help you reduce fractions?


model prime factorization to reduce fractions

reduceprime factorization



How do you divide mixed numbers?How do you divide fractions?


divide a mixed number by a whole numberdivide a mixed number by a mixed number

fractionreciprocal


2.3.7.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How are complementary and supplementary angles the same?How are complementary and supplementary angles different?


identify supplementary anglescalculate the measure of the complement of an anglecalculate the measure of the supplement of an angle

complementary anglessupplementary angles



Why reduce fractions before multiplyingHow do you reduce fractions before multiplying?


reduce fraction terms before multiplying

fractionreduce


Test 13 1/24/2015 Test 13 2.9.6.C-Identify on a 2- dimensional coordinate system the location of points with non-negative fractional or decimal coordinates; plot in a two-dimensional coordinate system a point represented by an ordered pair of nonnegative fractions, mixed numbers, or decimals.

What is a coordinate plane?What is an ordered pair?

graph points on a coordinate planelocate coordinates on a coordinate plane

coordinate planecoordinatesgraphordered pairoriginx-axisy-axis

Investigation 7


Lesson 71-80 ~ This lesson includes lesson 71-80, investigation 8, and Tests 14 and 15


2.9.6.B-Predict and describe the result of a translation (slide), rotation (turn), or reflection (flip) of a 2- dimensional shape.

How do you classify a quadrilateral?


calculate the measure of an angle in a parallelogramcalculate the area of a parallelogramidentify opposite and adjacent angles on a parallelogram

baseheightperpendicularsupplementary anglesadjacent



How do you multiply fractions?When do you multiply fractions?


multiply three fractions together

Fractions Lesson 72 Saxon Math Course 1 pg. 376-379


How can numbers be both the same and different?What are the rules of exponents?


read expressions with exponentscalculate the value of expressions with exponentswrite the prime factorization of a numberwrite a decimal number as a fraction or mixed number

powermixed number



What is the relationship between fractions and decimals?How can numbers be the same and different?


convert fractions and mixed numbers to decimal numbersuse a calculator to convert a fraction to a decimal numberconvert ratios to decimal numbers

cubed Lesson 74 Saxon Math Course 1 pg. 387-389


What is the relationship between fractions, decimals, and percents?

Practice Set a-n 2/1/2015Written Practice 2/1/2015

write a fraction as a percentwrite a decimal as a percent

shift Lesson 75 Saxon Math Course 1 pg. 392-394

Test 14 2/2/2015 Test 14 2.1.6.A-Model and compare How do decimals, Practice Set a-f 2/3/2015 compare fractions by converting compare Lesson 76 Saxon Math

values of whole numbers, mixed numbers, fractions, and decimals.2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.

fractions, and whole numbers relate to each other?

Written Practice 2/3/2015 each fraction to decimal form Course 1 pg. 396-398

2.8.6.F-Interpret the results of solving equations in one variable in the context of the situation that motivated the model.

Why is it important to find unstated information?


diagram fractional-parts statementscalculate unstated information from fraction-parts statements

fractional-parts Lesson 77 Saxon Math Course 1 pg. 401-403

2.3.6.D-Perform basic conversions within the metric and within the customary systems.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How does capacity affect our daily lives?What is the difference between metric and U.S. Customary System?


convert between units of capacity within the U.S. Customary Systemconvert between units of capacity within the metric system

capacityMetric SystemU.S. Customary System


2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How do you use the formula to find area of a triangle?


calculate area of a triangle using the formula

congruent Lesson 79 Saxon Math Course 1 pg. 410-413

2.11.6.B-Describe the relationship between rates of change and another variable (e.g., time, temperature).

How are ratios useful in solving problems?


draw and use a ratio boxcalculate the constant factor when the ratio and one actual count is knownmultiply a ratio term by the constant factor to find the actual count

ratio Lesson 80 Saxon Math Course 1 pg. 414-416

Test 15 2/10/2015 Test 15 2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How is a bisector constructed?How is a bisector helpful?

use a compass and a ruler to construct the perpendicular bisector of a given line segmentuse a compass and a ruler to construct the bisector of a given angle

angle bisectorbisectconstructionperpendicular bisector

Investigation 8


Lessons 81-90 + Investigation 9 ~ This unit includes lessons 81-90, Investigation 9, and Tests 16 & 17


2.3.6.D-Perform basic conversions within the metric and within the customary systems.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

Why is measurement important in our world?Why convert one unit of measure to another?


add, subtract, multiply, and divide units of measure

measurements Lesson 81 Saxon Math Course 1 pg. 421-425

2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

How does computing volume affect our day-to-day lives?How are area and volume related?


calculate the area of the base of a rectangular prism

calculate the volume of a rectangular prism

volumebaselayer


2.1.7.C-Use ratio and proportion to model relationships between quantities.

What is a proportion?How is a proportion read?


read a proportionwrite a proportionidentify a ratio that forms a proportion with a given ratioidentify a missing term in a proportion using a scale factor

proportionratiostated



What is order of operations?Why do you have to follow a certain order when solving a multistep problem?


solve an expression using a order of operations

order of operations


2.1.7.C-Use ratio and proportion to model relationships between quantities.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

What is a proportion? Practice Set a-e 2/18/2015Written Practice 2/18/2015

determine whether two fractions or ratios are equal using cross productscalculate a missing proportion using cross products

cross product Lesson 85 Saxon Math Course 1 pg. 441-446

Test 16 2/22/2015 Test 16 2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How do you calculate area of a circle?What is the value of Pi


estimate the area of a circle drawn on a gridcalculate the area of a circle using a formula

enclosedarea


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.2.6.D-Estimate solutions of problems involving whole numbers and decimals and check the reasonableness of those estimates.

How do you find the value of an unknown number?


calculate a missing factor problem in which the unknown factor is a mixed numbercalculate a missing factor problem in which the unknown factor is a decimal

factormixed number


2.1.7.C-Use ratio and proportion to model relationships between quantities.

What is a proportion?How does a ratio relate to a proportion?


solved ratio problems using a proportion accumulation Lesson 88 Saxon Math Course 1 pg. 456-459

2.1.7.B-Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).

How do you estimate a square root?


identify the square root of a number of a perfect square over 100estimate the square root of a number that are not perfect squares using guess and checkapproximate the square root of a number using a calculator

irrational number Lesson 89 Saxon Math Course 1 pg. 460-464

2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.

How many degrees in a full circle?How many degrees in an half circle?Which directions are counterclockwise and clockwise?

Practice Set a-c 2/28/2015Written Practice 2/28/2015

describe turns measured in degreessolve problems involving turns

clockwisecounterclockwise



How do you determined the

estimate the probability of an event from data gathered by performing a probability

experimental probability

Investigation 9


2.7.6.A-Collect data and estimate the likelihood of outcomes of an event.2.7.6.C-Express the probability of a simple event as a fraction, decimal, and percent.2.7.6.D-List the possible outcomes for two independent events and compare the outcomes.2.7.6.E-Find and interpret the experimental probability of an outcome of a simple event.

likelihood of an event occurring?

experimentpresent data in a relative frequency tableconduct probability experiments

theoretical probability

Rational Numbers ~ Digits


6.G.3-Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.6.NS.5-Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.6.NS.6-Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.6.NS.7-Understand ordering and absolute value of rational numbers.6.NS.6a-Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.6.NS.6b-Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.6.NS.6c-Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.6.NS.7a-Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. 6.NS.7b-Write, interpret, and explain statements of order for rational numbers in real-world contexts. 6.NS.7c-Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude

determine a rational number and its opposite to represent a situation (9.1)compare rational numbers and their absolute values (9.2)order rational numbers (9.3)plot and write the coordinates of rational numbers on the coordinate plane (9.4 - 9.5)write the coordinates, including rational numbers, of a point that is reflected (9.4)determine the length of a segment on a coordinate plane (9.5)

for a positive or negative quantity in a real-world situation.

Ratios ~ Digits


6.RP.1-Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.6.RP.3-Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

write a ratio to represent a situation (10.1)write equivalent ratios (10.2 - 10.3)represent ratios in three different forms (10.4)simplify ratios (10.4)convert ratios to its decimal equivalent (10.5)

Lessons 91-100 ~ This unit includes lessons 91-100, Tests 18 & 19, and Investigation 10


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.2.3.5.C-Calculate perimeter and area, and sums and differences of measurements.

Why is it easier to use a formula to solve a real world problem?What are the different geometric formulas?


Calculate the perimeter and area of squares, rectangles, parallelograms, and triangles using formulas.

areaperimeter

Lesson 91 Saxon Course 1pg 474-478


What is order of operations?Why do you have to follow order of operations when solving a multistep problem?


write the powers of 10 with exponentssimplify expressions with exponents and rootsuse exponents with fractions and decimals

expanded notationorder of operations



What are the two ways triangles are classified?


classify triangles by the lengths of their sidesclassify triangles by the measure of their angles

acute triangleisosceles triangleequilateral triangleobtuse triangleright trianglescalene triangle



How are common fractions, decimals and percents alike and different?

Practice Set a-q 3/9/2015Written Practice 3/9/2015

change a fraction, a decimal, or a mixed number to a percent by multiplying by 100%

fractiondecimalpercent



Why reduce fractions before multiplying?


cancel units of measure before multiplying unit of measure Lesson 95 Saxon Course 1pg 493-496

Test 18 3/11/2015 Test 18 2.8.6.D-Determine a functional rule from a table or graph.2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.9.6.C-Identify on a 2- dimensional coordinate system the location of points with non-negative fractional or decimal coordinates; plot in a two-dimensional

What is the best way to represent a fraction?What does a function look like on a graph?


identify the rule of a functionidentify a missing number in a function tablemake a table for a functiongraph a function on a coordinate plane

function Lesson 96 Saxon Course 1pg 497-502

coordinate system a point represented by an ordered pair of nonnegative fractions, mixed numbers, or decimals. 2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

Can you identify and name the angles formed by a transversal crossing two or more lines?


identify transversals, interior angles, alternate interior angles, exterior angles, alternate exterior angles, and corresponding anglesidentify the measures of the angles formed by a transversal intersecting two parallel lines when the measure of one angle is known

alternate exterior anglesalternate interior anglescorresponding anglestransversalparallel linessupplementary



How do you find a missing angle in a quadrilateral when given the other three?How do you find a missing angle in a triangle when given the other two?


identify the interior and exterior angles of a polygoncalculate the sums of the interior angles of a triangle and of a quadrilateralcalculate the measure of one interior angle in a triangle or quadrilateral when the measure of the other interior angles are known

exterior angleinterior angle



How are common fractions, decimals and percents alike and different?


Complete a table that shows equivalent fractions, decimals, and percents

decimalpercentfraction


2.2.7.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, mixed numbers, or integers.

What are integers?How do you add integers?What are the rules for adding integers?

Practice Set a-o 3/18/2015Written Practice 3/18/2015

add integers using a number lineidentify the opposite of an integersubtract integers using algebraic addition

algebraic integers


Test 19 3/21/2015 Test 19 2.7.6.A-Collect data and estimate the likelihood of outcomes of an event.2.7.6.C-Express the probability of a simple event as a fraction, decimal, and percent.2.7.6.E-Find and interpret the experimental probability of an outcome of a simple event

How do you find the likelihood of multiple outcomes to occur?

create a tree diagram that shows all possible outcomes of a compound experimentdetermine the probability of the possible outcomes of a compound experiment

compound experimentcompound outcomestree diagram

Investigation 10

Saxon Course 1pg 524-527

Lessons 101-110 ~ This unit will cover Lessons 101-110, Tests 20 and 21, and Investigation 11



How can the ratio box from Lesson 80 be used when totals are given in the word problem?

Lesson 101 practice set a-c 3/23/2015Lesson 101 Written Practice 3/23/2015

solve ratio problems that involve totals using a ratio box

ratio boxesactual count

Lesson 101 Saxon Math Course 1 pgs. 528-532

2.3.6.D-Perform basic conversions within the metric and within the customary systems.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How can the mass of an object be measured?How can the weight of an object be measured?What is the relationship between ounces and pounds?How are weight and mass different?

Lesson 102 practice set a-e 3/24/2015Lesson 102 Written Practice 3/24/2015

identify and convert units of mass in the metric systemidentify and convert units of weight in the US Customary Systemadd and subtract measures in pounds and ounces

massweightcustomary and metric units of mass and weight


2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.

How can missing lengths be determined on a

Lesson 103 practice set a-b 3/25/2015

calculate the perimeter of a complex shapeidentify the missing lengths of complex

perimeter of complex shapes

Lesson 103 Saxon Math Course 1 pgs. 538-

2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

complex shape?What makes a shape complex?How can the perimeter of a complex shape be calculated?

Lesson 103 Written Practice 3/25/2015

shapes using given sides 542


How can numbers with different signs be added together?How do the signs of the addends affect the sign of the sum?


add positive and negative numbers (integers)

addition of integers



How is a ratio box used to create a proportion?How can a ratio box and proportion help solve a word problem in which percents are given?

Lesson 105 practice set a-e 3/29/2015Lesson 105 Written Practice 3/29/2015

solve percent problems by using a ratio box, setting up a proportion, and solving the proportion

proportionspercentratio box


Test 20 3/30/2015 Test 20 2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.8.7.B-Evaluate and simplify algebraic expressions and solve and graph linear equations and inequalities.

Using only two steps, how can the value of a variable in an equation be determined?How can one check to be sure the calculated value is correct?


calculate the value of the variable in the equation using 2 stepscheck the answer to the equation using substitution

variablestwo-step equations


2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

How can the area of a complex shape be calculated?

Lesson 107 practice set a-b 4/1/2015Lesson 107 Written Practice 4/1/2015

calculate the area of a complex shape complex shapesarea


2.9.6.B-Predict and describe the result of a translation (slide), rotation (turn), or reflection (flip) of a 2- dimensional shape.

How can the position of a figure be changed without changing the dimensions of the figure?What terms can be used to describe the change in position of a figure?


identify and describe rotations, translations, and reflections change the position of a figure using transformations

reflectionrotationtransformationtranslation



If two figures are congruent, how can their corresponding sides and angles be determined?What does it mean when one says that two sides or angles are corresponding?


identify the corresponding sides and angles of two congruent figuresidentify similar triangles and their corresponding angles and sidesidentify similar rectangles and their corresponding angles and sides

corresponding partssimilar figures



How can one determine if a figure is symmetrical?How can one determine the amount of lines of

Lesson 110 practice set a-c 4/6/2015Lesson 110 Written Practice 4/6/2015

identify symmetrical figuresdraw lines of symmetry in figures and objectsidentify figures with rotational symmetry

symmetrylines of symmetryrotational symmetry


symmetry a figure or object has?How can one determine if an object or figure has rotational symmetry?

Test 21 4/7/2015 Test 21 2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

How can one create a smaller model of a large figure using a scale factor?How can the actual measurements of an object be determined from a scaled model?

calculate the actual measurements of the object being represented using the legend in the scale drawing or modelcalculate an unknown measurement in a scale drawing or model problem using a proportioncalculate the dimensions of an actual object using the scale factor of a model

legendscale drawingsscale factorscale model

Investigation 11

Saxon Math Course 1 pgs. 578-581

Rates ~ Digits


6.RP.2-Understand the concept of a unit rate a/b associated with a ratio a:b with b ? 0, and use rate language in the context of a ratio relationship.6.RP.3-Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.6.RP.3b-Solve unit rate problems including those involving unit pricing and constant speed.6.RP.3d-Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

convert a rate to a unit rate (11.1, 11.5)analyze a situation using a unit rate (11.1, 11.5)calculate a unit price (11.2, 11.5)calculate constant speed (11.3, 11.5)analyze a situation using constant speed (11.3, 11.5)convert units using ratios (11.4, 11.5)

Ratio Reasoning ~ Digits


6.EE.9-Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.6.RP.2-Understand the concept of a unit rate a/b associated with a ratio a:b with b ? 0, and use rate language in the context of a ratio relationship.6.RP.3-Use ratio and rate reasoning to solve real-

represent a ratio/rate using a table and a graph (12.1)determine proportional relationship (12.2)convert ratios, fractions, and percents (12.3)compute a percent of a quantity (12.4)

world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.6.RP.3a-Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.6.RP.3c-Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Lessons 111-120 ~ This unit will cover Lessons 111-120, Tests 22 and 23, and Investigation 12

Standards Essential Questions AssessmentsSkills Content LessonsResources2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.4.6.A-Use models, properties, and relationships to draw conclusions and explain reasons for conclusions.2.5.6.A-Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.

When a real-world situation is presented in a division problem, how can it be determined whether to round the remainder up or down?


interpret the remainders to division problems that have real-world applications

remaindersdivision problemsreal-world application



How can numbers with different signs be multiplied together?How can a number be divided by a number with a different sign?

Lesson 112 Practice Set a-h 4/12/2015Lesson 112 Written Practice 4/12/2015

calculate the product of two integerscalculate the quotient of two integers

multiplication of integersdivision of integers


2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.3.6.D-Perform basic conversions within the metric and within the customary systems.2.1.7.B-Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).

What is a mixed measure and how does one add or subtract them?How can powers of 10 be used in multiplication to create numbers in standard notation?


rename units to add and subtract mixed measuresmultiply a number by a power of ten to rewrite a number in standard notation

addition and subtraction of mixed measuresmultiplication by powers of ten


2.3.6.D-Perform basic conversions within the metric and within the customary systems.

What does a unit multiplier look like and how are they created?Once created, how does a unit multiplier help with conversions between units?


write unit multipliers for equivalent measuresconvert from one unit to another using a unit multiplier

unit multiplier Lesson 114 Saxon Math Course 1 pgs. 597-601

2.1.6.B-Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.2.1.6.C-Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.

How can a percent that contains a fraction already be converted into a fraction that is equivalent?


convert a percent that contains a fraction to a fraction

conversion of percent to fraction


Test 22 4/26/2015 Test 22 2.2.6.B-Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.2.4.6.B-Use if…then statements to express conditional relationships.2.11.6.B-Describe the relationship between rates of change and another variable (e.g., time, temperature).

What is the difference between simple interest and compound interest?How can one calculate the amount of interest earned on a given amount of money?

Lesson 116 Practice Set a-c 4/27/2015Lesson 116 Written Practice 4/27/2015

calculate compound interest using paper/pencil and/or a calculator

compound interestinterestprincipalsimple interest


2.5.6.A-Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.2.5.6.B-Use appropriate mathematical terms, vocabulary,

How can a diagram help find a whole in a fractional-parts problem when only a fraction is known?


draw a diagram to find a whole in a fractional-parts problem when a fraction is known

fractional parts of a wholediagraming


language, symbols, and graphs to explain clearly and logically solutions to problems. 2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.

What is an irregular shape?Since the shape is irregular, how can the area of it be determined?

Lesson 118 Practice Set 4/29/2015Lesson 118 Written Practice 4/29/2015

estimate the area of an irregular shape using a grid

estimation of area


2.8.6.E-Use combinations of symbols and numbers to create expressions, equations, and inequalities that model mathematical situations.

How can an equation be created to help determine a whole when a percent is known?


write and solve an equation to find a whole when a percent is known

percentsEquation


2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.3.6.C-Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.2.3.6.F-Estimate and verify measurements of length, perimeter, area, volume, capacity, temperature, time, weight, and angles.2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

How is the volume of a cylinder calculated?What is the relationship between the volume of the cylinder and the area of its circular bases?

Lesson 120 Practice Set 5/3/2015Lesson 120 Written Practice 5/3/2015

calculate the volume of a cylinder using the given formula

volume of a cylinder


Test 23 5/4/2015 Test 23 2.3.6.A-Use models to illustrate the meaning of perimeter, area, and volume.2.3.6.B-Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.2.9.6.A-Identify, define, label, and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.

How were the formulas for volume and surface area of prisms, pyramids, cylinders, and cones derived?How can these formulas be used to calculate the actual volume and surface area of these 3 dimensional solids?

calculate the volume of prisms, pyramids, cylinders, and cones using the correct formulacalculate the surface area of prisms and cylinders using the correct formula

formulas for volume, and surface area of prisms, pyramids, cylinders and cones

Investigation 12

Saxon Math Course 1 pgs. 602-605

Area ~ Digits

Standards Essential Questions AssessmentsSkills Content LessonsResources6.G.1-Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

calculate a side length of a rectangle or square when given the area (13.1)calculate the area of a rectangle or square (13.1)calculate the area of a right triangle (13.2)calculate the area of a parallelogram (13.3)calculate the base or height of a parallelogram when given its area (13.3)calculate the area of acute and obtuse triangles (13.4)calculate the area of a trapezoid (13.5)calculate the area of a regular polygon (13.5)

Surface Area and Volume ~ Digits

Standards Essential Questions AssessmentsSkills Content LessonsResources6.G.2-Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.6.G.4-Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

describe 3-D figures (14.1)identify a 3-D figure when given a net (14.2)draw a net of a given 3-D figure (14.2)compute the surface area of a prism (14.3)compute the surface area of a pyramid (14.4)compute volume of rectangular prisms (14.5)

Web viewLesson 1 - Practice Set a-f ... median, mode, and range for a set ... (13.4)calculate the...

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