Math

Unit 1 Number TheoryLiteracy:

-Math Talk by Theoni Pappas-12 Ways to Get To 11 by Eve Merriam-Speed Mathematics by Bill Handley

1.1 Objective: Introduction to the Student Reference Book- To acquaint students with the content and organization of the Math Journal and Student Reference Book.

Key Concept and Skills: -Identify places in whole number and express the values of

digits in those places.-Identify places in decimals and express the values of digits

in those places.-Choose appropriate strategies for solving problems.

Materials: white board boards, markersVocabulary: NoneMath Boxes: page 4Math Game: NoneAssessment: Math Boxes #2, 5

1.2 Objective: Rectangular Arrays- To review rectangular arrays and the use of multiplication number models to represent such arrays.

Key Concept and Skills: -Find factors of a number.-Write number sentences for rectangular arrays.-Use the turn-around rule for multiplication.

Materials: per group 40 centimeter cubes and 2 dice, for class 18 counters, Class data pad

Vocabulary: rectangular array, number model, Commutative Property of Multiplication, turn-around rule (for multiplication)

Math Boxes: page 8Math Game: NoneAssessment: Journal page 5

1.3 Objective: Factors- To provide a review of the meanings of factor and product; and to provide opportunities to factor numbers and develop automaticity with multiplication facts.

Key Concept and Skills: -Write number models for rectangular arrays.-Find all factors of a number.-Know and apply multiplication factors.

Materials: per group number cards 1-10, centimeter cubes, calculator, for class 18 counters, Class Data Pad

Vocabulary: factor, product, factor pairMath Boxes: page 11Math Game: Multiplication Top-ItAssessment: Journal page 10 #2

1.4 Objective: The Factor Captor Game- To review divisibility concepts.

Key Concept and Skills: -Describe numbers as odd or even using rectangular

arrays.-Find factors using divisibly. -Apply multiplication/division relationships to divisibility

and factors.Materials: Per group 50 counters, scissorsVocabulary: remainder, even number, odd number, divisible byMath Boxes: page 12Math Game: Factor CaptorAssessment: Exit Slip: Describe a strategy for getting the highest

score when playing Factor Captor.

1.5 Objective: Divisibility- To introduce divisibility rules for division by 2, 3, 5, 6, 9, and 10; and how to use a calculator to test for divisibility by a whole number.

Key Concept and Skills: -Find factors of a number.-Explore the relationship between the operations of

multiplication and division.-Use divisibility rules to solve problems.

Materials: per group 3 dice calculator, 66 counters and centimeter cubes

Vocabulary: factor rainbow, divisible by, quotient, divisibility ruleMath Boxes: page 15Math Game: Factor CaptorAssessment: Math Boxes page 15 #4

1.6 Objective: Prime and Composite Numbers- To introduce the classification of whole numbers as either prime or composite.

Key Concept and Skills: -Define and classify prime and composite numbers.-Find factors of numbers.-Demonstrate automaticity with multiplication facts.

Materials: blank paper or colored construction paper, markers, Class Data Pad

Vocabulary: composite number, prime numberMath Boxes: page 19Math Game: Factor Captor Strategies, page 17

Assessment: Math Message

1.7 Objective: Square Numbers- To introduce square numbers and the exponent key on a calculator.

Key Concept and Skills: -Rename square number factor pairs in exponential and

standard notation.-Investigate the properties of square numbers.-use array patterns to define square numbers.

Materials: per group number cards 2-9 (4 each), centimeter cubes, calculator, per student 25 counters

Vocabulary: square array, square number, exponential number, exponent key, exponent

Math Boxes: page 22Math Game: Factor BingoAssessment: Exit Slip: Describe a square number and why it is

possible to write a square number using an exponent.

1.8 Objective: Unsquaring Numbers- To introduce the concept of square roots; and the use of the square-root key on a calculator.

Key Concept and Skills: -Use exponential notation to name square numbers, and

explore the relationship between square numbers and square roots.Materials: Per group number cards 1-10 (4 each) calculatorVocabulary: unsquaring a number, square root, square-root keyMath Boxes: page 24Math Game: Multiplication Top-ItAssessment: Record sheet for Number Top-It

1.9 Objective: Factor Strings and Prime Factorizations- To review equivalency concepts fro whole numbers; and to introduce factor strings and prime factorization.

Key Concept and Skills: -Find factor strings for numbers.-Write the prime factorization for numbers.-Rename numbers as factor strings or products of

exponents.-Use exponents to rename numbers.

Materials: Number cards 0-9 (4 each), calculatorVocabulary: name-collection box, factor string, length of factor

string, prime factorizationMath Boxes: page 27Math Game: Name the numberAssessment: None

1.10 Objective: Progress Check 1Content Assessed:

-Write whole numbers and identify digits. Part A #6-7-Factor numbers. Part A #1-5, 8-10-Rename numbers written in exponential notation as

repeated factor expressions. Part B #8-Rename numbers written in exponential notation and

standard notation. Part B #10-Identify divisibility. Part B #11-12

Unit 2 Estimation and ComputationLiteracy:

-Counting on Frank by Rod Clement-How Much Is a Million? by David M. Schwartz-Anno’s Magic Seeds by Mitsumasa Anno-Math Curse by Jon Scieska

2.1 Objective: Estimation Challenge- To develop estimation strategies when finding an exact answer is impractical.

Key Concept and Skills: -Find the median for a data set-Estimate linear distance using a map scale-Convert between inches, feet, and miles-Calculate travel times for a given distance at a given rate

of speedMaterials: calculator, pre group road map, yardstick, meter stick

or tape measure, 1 page from a residential telephone directory, clock or watch

Vocabulary: estimate, medianMath Boxes: Page 31Math Game: NoneAssessment: Mental Math and Reflexes

2.2 Objective: Addition of Whole Numbers and Decimals- To review place-value concepts and the use of the partial-sums and column-addition methods.

Key Concept and Skills: -Write numbers in expanded notation-Use paper-and-Pencil algorithms for multidigit addition

problems-Make magnitude estimates for addition

Materials: pre group 4 each of number cards 1-10, base 10 blocks, white board, 2 counters

Vocabulary: place, value, digit, algorithm, partial-sums method, place value, expanded notation, column-addition method

Math Boxes: Page 34Math Game: Addition Top-ItAssessment: Journal page 33

2.3 Objective: Subtraction of Whole Numbers and Decimals- To review the trade-first and partial-differences methods for subtraction.

Key Concept and Skills: -Explore algorithms for multidigit subtraction problems-Make magnitide estimates for subtraction-Identify, write, and solve number sentences that model

subtraction number stories

Materials: per group 4 each of number cards 1-10, white board, rubber bands, counter per group 120 wooden craft sticks or straws

Vocabulary: trade-first method, minuend, subtrahend, difference partial-differences method

Math Boxes: Page 36Math Game: Subtraction Target PracticeAssessment: Journal page 35 #1-2

2.4 Objective: Addition and Subtraction Number Stories- To review the use of mathematical models to solve number stories.

Key Concept and Skills: -Write whole numbers and decimals in expanded notation-Make magnitude estimates for addition and subtraction

number stories-Use open number sentences to solve number stories

Materials: per group 1 complete deck of number cardsVocabulary: number sentence, true number sentence, false

number sentence, variable, open number sentence, relation symbol, operation symbol, solution

Math Boxes: Page 39Math Game: Name That NumberAssessment: Journal pages 37,38 #1,3,4

2.5 Objective: Estimate Your Reaction Time- To provide experiences with estimating reaction times and with using statistical landmarks to describe experimental data.

Key Concept and Skills: -Read, write, and order decimals to the hundredths place.-Use line plots to organize reaction-time data-Find statistical landmarks-Compare and draw conclusions about collected data

Materials: per group 4 each number cards 0-9, calculator, timer, stick on notes, scissors

Vocabulary: stimulus, reaction time, mean (average), mode, range, minimum, maximum

Math Boxes: Page 42Math Game: High Number Toss: Decimal VersionAssessment: Mental Math and Reflexes

2.6 Objective: Chance Events- To review vocabulary associated with chance events and to introduce the Probability Meter.

Key Concept and Skills: -Record data in a table-Find landmarks for a data set-Predict the outcome and respond to the results of a

thumbtack experiment

-Express the probability of an event as a fraction, decimal, or percentMaterials: calculator, Probability Meter, per group stick on notes,

10 thumbtacks, two-color counters, small cup, scissorsVocabulary: impossible, certain, Probability Meter PosterMath Boxes: Page 46Math Game: NoneAssessment: Exit Slip: Why is the Probability meter labeled with

fractions, decimals, and percents?

2.7 Objective: Estimating Products- To provide experiences with making and using magnitude estimates for products of multidigit numbers, including decimals.

Key Concept and Skills: -Read multidigit numbers for use in magnitude estimates

for products-Make magnitude estimates for problems-Round numbers to make magnitude estimates for

multiplication problemsMaterials: per group 4 each of number cards, 1 six-sided dieVocabulary: magnitude estimateMath Boxes: Page 49Math Game: Multiplication Bull’s EyeAssessment: Math Boxes page 49 #3-4

2.8 Objective: Multiplication of Whole Numbers and Decimals- To review the partial-products method for whole numbers and decimals.

Key Concept and Skills: -Make magnitude estimates-Use magnitude estimates to place the decimal point in

products-Solve whole-number and decimal problems using the

partial-products algorithmMaterials: Per group base 10 blocks, white board markers, eraserVocabulary: partial-products method, magnitude estimate,

ballpark estimateMath Boxes: Page 53 Math Game: NoneAssessment: Journal Page 50

2.9 Objective: The Lattice Method of Multiplication- To review and provide practice with the lattice method for multiplication of whole numbers and decimals.

Key Concept and Skills: -Apply multiplication facts

-Use the lattice method for multiplying whole numbers and decimals

-Use magnitude estimate to verify lattice method solutionsMaterials: Per group Geometry Template, 4 each of number

cards 2-9, 12 countersVocabulary: lattice method, latticeMath Boxes: Page 56Math Game: Factor BingoAssessment: Exit Slip: Explain how to use the lattice

multiplication method to solve 82 * 75 and 8.2 * 7.5 =?

2.10 Objective: Comparing Millions, Billions, and Trillions- To provide experience with comparing the relative sizes of 1 million, 1 billion, and 1 trillion and using a sample to make an estimate.

Key Concept and Skills: -Read and write large numbers-Compare order of magnitude for large numbers-Make reasonable estimates for whole number and decimal

multiplication problemsMaterials: Per group 4 each of number cards 0-9, calculator,

Class Data Pad, blank paper markers, timerVocabulary: sampleMath Boxes: Page 58Math Game: High-Number TossAssessment: Math Masters page 487

2.11 Objective: Progress Check 2Content Assessed:

-Identify place value of digits and write numbers in expanded notation. Part A #9, 16-17

-Add and Subtract whole numbers and decimals. Part A #1-6 -Identify multiplication errors. Part A #10-11

-Explain usefulness of estimates. Part A #12-Make a magnitude estimate. Part A #13-14-Find landmarks for a data set. Part B #18-Describe probabilities using words and phrases. Part A

#15-Convert between U.S. customary units of length. Part A

#7-8-Write and solve number sentences that model addition

and subtraction number stories. Part B #19

Unit 3 Geometry Explorations and the American TourLiteracy:

-A Cloak for the Dreamer by Aileen Friedman-Grandfather Tang’s Story by Ann Tompert-Sir Cumference and the Sword in the Cone by Cindy

Neuschwander

3.1 Objective: Introduction to the American Tour- To explore data collection, organization, and interpretation.

Key Concept and Skills: -Express probability as a percent, decimal, or fraction-Use collected data to make predictions-Use census data to estimate percentages

Materials: per group 4 each of number cards 0-9, Probability Meter, stick on notes

Vocabulary: CensusMath Boxes: Page 61Math Game: High Number TossAssessment: Mental Math and Reflexes

3.2 Objective: American Tour: Population Data- To provide experiences with interpreting data.

Key Concept and Skills: -Read and write large numbers-Evaluate exact numbers versus estimates for population

data-Use table data to answer questions

Materials: NoneVocabulary: NoneMath Boxes: Page 65Math Game: Place Value PuzzlesAssessment: Math Boxes #1,4

3.3 Objective: Exploring Angle Measures- To relate circles and relationships among angles to the degree measures of angles.

Key Concept and Skills: -Determine the measure of angles by using known

measures-Review naming conventions for angles-Use angle relationships to determine angle measures

Materials: Pattern blocks, per group 4 each of number cards 1-10, straightedge

Vocabulary: NoneMath Boxes: Page 67Math Game: Multiplication Top-ItAssessment: Journal page 66

3.4 Objective: Using a Protractor- To review types of angles, geometric figures, and the use of the Geometry to measure and draw angles.

Key Concept and Skills: -Define and classify angles according to their measures-Use a full-circle and a half-circle protractor to measure

and draw angles-Explore angle types and relationships

Materials: Geometry TemplateVocabulary: acute angle, obtuse angle, right angle, straight

angle, reflex angle, Geometry Template, arcMath Boxes: Page 71Math Game: NoneAssessment: Exit Slip: Which is easier to use- the full-circle

protractor or the half-circle protractor? Why?

3.5 Objective: Using a Compass- To review compass skills and explore angles formed by intersecting lines.

Key Concept and Skills: -Investigate vertical, opposite, and adjacent angles-Use angle relationships to determine angle measures-Copy, measure, and construct line segments using a

compass, straightedge, and ruler-Explore the relationship between radius and diameter

measurementsMaterials: Geometry Template, per group 4 each of number

cards 0-9, compass, 1 sheet of paper (2 ft by 2 ft) white board marker, per group string 5 inches in length, straightedge

Vocabulary: radius, diameter, vertical (or opposite) angles, adjacent angles

Math Boxes: Page 74Math Game: High Number Toss: Decimal VersionAssessment: Mental Math and Reflexes

3.6 Objective: Congruent Triangles- To explore triangle types and introduce methods for copying triangles.

Key Concept and Skills: -Classify triangles as isosceles, equilateral, or scalene-Use a compass and straightedge to construct congruent

triangles-Measure angles with a protractor

Materials: Geometry Template, meterstick, straws and connectors, compass, per group, 2 dice, Class Data Pad, demonstration compass and protractor, straightedge

Vocabulary: equilateral triangle, isosceles triangle, scalene triangle, congruent

Math Boxes: Page 79Math Game: Sides and Angles: TrianglesAssessment: Math Boxes #3

3.7 Objective: Properties of Polygons- To explore the geometric properties of polygons.

Key Concept and Skills: -Identify the types of angles formed by polygons-Compare and classify polygons-Use relationships and properties to sort polygons

Materials: six-sided die, attribute blocksVocabulary: NoneMath Boxes: Page 81Math Game: What’s My Attribute Rule?Assessment: Journal Page 80

3.8 Objective: Regular Tessellations- To explore side and angle relationships in regular tessellations.

Key Concept and Skills: -Use angle relationship to determine angle measures-Describe the properties of regular polygons-Identify, describe, and create tessellations

Materials: Geometry Template, pattern blocks, scissorsVocabulary: regular polygon, tessellation, regular tessellation,

tessellate, tessellation vertexMath Boxes: Page 84Math Game: Angle TangleAssessment: Math Master 444

(TWO DAYS)3.9 Objective: Angles of Polygons- To develop an approach for finding the angle measurement sum for any polygon.

Key Concept and Skills: -Investigate and compare the measurement sums of

interior angles of polygons-Measure angles with a protractor-Find maximum, minimum, and median for a data set-Draw conclusions based on collected data

Materials: Geometry Template, paper, cardstock, scissorsVocabulary: noneMath Boxes: Page 91Math Game: TessellationsAssessment: Exit Slip: Explain how to find the sum of the

measures of the angles in polygons without using a protractor.

3.10 Objective: Solving Problems Using the Geometry Template- To review polygon attribute and vocabulary using the Geometry Template.

Key Concept and Skills: -Identify and draw polygons according to angle types-Identify and draw polygons according to given properties-Draw circles to a given radius or diameter

Materials: Geometry Template, overhead projector, 2 sharp pencils, drawing paper

Vocabulary: radius, diameter, pentagon, perimeterMath Boxes: Page 97Math Game: Polygon CaptureAssessment: Mental Math and Reflexes

3.11 Objective: Progress Check 3Content Assessed:

-Identify place value numbers to billions. Part A #5-Determine angle measures based on relationships

between angles. Part B #13, 14, 15, 17-Identify types of angles. Part A #4, Part B #16-Measure angles. Part A #1, 2, 3-Draw and identify types of angles. Part A #6-10-Compare the properties of polygons. Part A #11, 12-Create and define tessellations. Part B #19, 20-use table data to answer questions. Part B #18

Unit 4 DivisionLiteracy:

-A Remainder of One by Elinor J. Pinczes-One Hundred Hungry Ants by Elinor J. Pinczes-Anno’s Magic Seeds by Mitsumasa Anno

4.1 Objective: Division Facts and Extensions- The review multiplication and division facts and apply basic facts to division.

Key Concept and Skills: - Generate equivalent names for whole numbers- Apply multiplication facts, related division facts, or

extended facts to identify friendly numbers- Use friendly numbers to divide 2-digit by 1-digit by

numbersMaterials: Per group 4 each of number cards 1-9, per group 1

deck of number cards, Geometry Template or protractor slateVocabulary: dividend, divisor, quotient, multiplesMath Boxes: Page 100Math Game: Name That NumberAssessment: Page 99 # 1-4

4.2 Objective: The Partial-Quotients Division Algorithm- To review the partial-quotients division algorithm with whole numbers.

Key Concept and Skills: - Use the partial-quotients algorithm for problems- Apply friendly numbers to identify partial-quotients- Factor numbers to identify partial-quotients

Materials: Per group, 4 each of number cards 1-9, white board, Class Data Pad

Vocabulary: dividend, divisor, partial quotient, quotient, remainder

Math Boxes: Page 102Math Game: Division DashAssessment: Journal page 101

4.3 Objective: American Tour: Finding distances on a Map- To develop practice with strategies for the partial-quotients algorithm.

Key Concept and Skills: - Solve estimation problems- Measure to the nearest half-inch- Use map scale to estimate distances

Materials: Geometry Template, calculator, white board, compass, ruler, string

Vocabulary: map legend, map key, map direction symbol, map scale

Math Boxes: Page 105

Math Game: NoneAssessment: Math Boxes Page 105 #1

4.4 Objective: Division of Decimal Numbers- To provide experience with making magnitude estimates for quotients and using partial-quotients algorithm with decimals.

Key Concept and Skills: - Apply division facts and extended facts to identify partial

quotients- Use divisibility rules to identify multiplies- Use the partial-quotients algorithm for problems

Materials: per group 4each of numbers cards 0-9, and 2 each of numbers cards 2, 3, 5, 6, 9, 10, calculator, Class Data Pad

Vocabulary: multiple, divisor, partial quotients, dividendMath Boxes: Page 108Math Game: Divisibility DashAssessment: Journal Page 107 #10

4.5 Objective: Division of Decimal Numbers- To provide experience with making magnitude estimates for quotients and using the partial-quotients algorithm with decimals.

Key Concept and Skills: - Use vocabulary (dividend, divisor, quotient, and

remainder) to discuss magnitude estimates- Use the partial-quotients algorithm to solve problems- Make magnitude estimates for quotients

Materials: base 10-blocks (6 flats, 22 longs, 40 cubes), calculator, white board, bills and coins, chart paper or posterboard

Vocabulary: decimal point, magnitude estimateMath Boxes: Page 110Math Game: Division Top-ItAssessment: Journal page 109

4.6 Objective: Interpreting the Remainder- To provide practice solving division number stories and interpreting remainders.

Key Concept and Skills: - Interpret the remainder in number story solutions- Make magnitude estimates for quotients- Write and solve numbers sentences that model division

numbers storiesMaterials: Calculator, Class Data PadVocabulary: NoneMath Boxes: Page 114Math Game: NoneAssessment: Journal Pages 111 and 112 #1-3

4.7 Objective: Skills Review with First to 100- To investigate the use of variables, review a variety of mathematics skills, and explore division concepts.

Key Concept and Skills: - Make magnitude estimates for quotients- Solve number sentences for given variables- Write number sentences that model given situations

Materials: 2 six-sided dice, calculator, white board, Geometry Template, envelopes, colored pencils, 4 pennies or other counters, 3 x 5 index cards cut in half, transparent tape, Class Data Pad

Vocabulary: variableMath Boxes: Page 117Math Game: First To 100Assessment: Math Message

4.8 Objective: Progress Check 4Content Assessed:

-Generate equivalent names for whole numbers. Part A #4-5

-Know and apply multiplication facts, related division facts and extended facts. Part A #4-7, 13, 14 Part B #15-16

-Use partial-quotients algorithm to divide. Part A #4-7, 13, 14 Part B #15-20

-Express the remainder as a fraction or decimal. Slate-Make magnitude estimates. Part A #8-9 Part B #17, 18-Measure to the nearest ½ inch. Part A #1-3

-Write and solve number sentences that model numbers stories. Part A #10-12

-Use scales to find distances. Part A #1-3

Unit 5 Fractions, Decimals, and PercentsLiteracy:

-Fourscore and 7: Investigation Math in American History by Betsy Franco

5.1 Objective: Fraction Review- To review key fraction concepts; and to provide practice with solving parts-and-whole problems and finding parts of whole numbers.

Key Concept and Skills: - Find fractions of a set and find the whole based on a

known fraction of a set- Find equivalent names for a fraction of a set- Identify and use unit fractions to solve problems

Materials: Geometry Template or white board, Class Data Pad, per group 20 counters

Vocabulary: whole (ONE or unit), denominator, numerator, unit fraction

Math Boxes: page 123Math Game: Fraction Top-ItAssessment: Journal page 122 #2

5.2 Objective: Mixed Numbers- To review the whole; and to provide experience with mixed-numbers and improper fraction concepts.

Key Concept and Skills: - Find equivalent names for fractions and mixed numbers- Explore the meaning of fractions using an area model to

identify parts or the whole- Compare fractions and mixed numbers- Add fractions using an area model

Materials: Geometry Template, pattern blocks, Class Data Pad, per group 24 counters

Vocabulary: improper fraction, mixed numberMath Boxes: page 128Math Game: NoneAssessment: Journal page 125 #5

5.3 Objective: Comparing and Ordering Fractions- To review equivalent fractions; to compare and order fractions; and to explore fraction addition.

Key Concept and Skills: - Find equivalent names for fractions and mixed numbers- Explore the meaning of fractions using an area model to

identify parts or the whole- Order fraction to 1, ½, and 1-Solve fraction number stories using a number-line model

Materials: Geometry Template, fraction cards, 6 colored strips of paper, each 2 X 8 ½

Vocabulary: fraction stick, equivalent fractionsMath Boxes: page 133Math Game: Fraction Top-It (Addition)Assessment: Journal page 129 #5

5.4 Objective: Two Rules for Finding Equivalent Fractions- To introduce multiplication and division rules for finding equivalent fractions.

Key Concept and Skills: - Generate equivalent fractions using a length model- Use and explain multiplication and division rules to find

equivalent fractionsMaterials: calculator, Everything Math Deck, Class Data Pad,

ruler, per group, 70 countersVocabulary: equivalent fractionMath Boxes: page 136Math Game: Factor CaptorAssessment: Exit Slip- List three equivalent fractions for 4/5, and

explain how you found them.

5.5 Objective: Fraction and Decimals Part 1- To provide practice with renaming fractions as decimals; and to review rounding decimals.

Key Concept and Skills: - Rename fractions and mixed numbers as decimals- Compare and order decimals- Round decimals

Materials: white board, calculator, base 10 blocksVocabulary: round down, round up, round to the nearest…Math Boxes: page 141Math Game: Estimation SqueezeAssessment: Mental Math and Reflexes

5.6 Objective: Fraction and Decimals Part 2- To provide experience with several graphic models for renaming fractions as decimals.

Key Concept and Skills: - Order fractions and decimals on a number line- Convert between fractions, mixed numbers and decimals- Order rational numbers

Materials: white board, straightedgeVocabulary: NoneMath Boxes: page 144Math Game: Number Top-ItAssessment: Math Boxes page 144 #5

5.7 Objective: Fractions and Decimals: Part 3- To use a calculator to find decimal equivalents for fractions.

Key Concept and Skills: - Differentiate between repeating and terminating decimals- Use a calculator to rename fractions as decimals- Convert between fractions and decimals- Compare fractions, whole numbers, and mixed numbers

Materials: per group, 4 each of number cards 0-10, calculator, white board, per group counters 2 colors or pennies

Vocabulary: repeating decimalsMath Boxes: page 146Math Game: 2-4-5-10 Frac-Tac-ToeAssessment: Journal page 145 #1

5.8 Objective: Using a Calculator to Convert Fractions to Percents- To discuss the meaning and uses of percents; and to introduce using a calculator to convert decimals to percents.

Key Concept and Skills: - Use correct notation to write terminating and repeating

decimals- Define the uses and meaning of percents- Use a calculator to rename fractions as decimals- Convert between fractions, decimals, and percents

Materials: per group 4 each of the number cards 0-10, white board, calculator, per group counters

Vocabulary: percentMath Boxes: page 149Math Game: 2-4-5-10 Frac-Tac-ToeAssessment: Math Masters page 476

5.9 Objective: Bar and Circle Graphs- To review the properties and construction of bar graphs; and to discuss the properties of circle graphs.

Key Concept and Skills: - Explore fractions as a property of circle graphs- Estimate the value of circle graph sectors- Create a bar graph for a data set

Materials: 4 each of number cards 0-10, white board, calculator, Class Data Pad, poster board, string, masking tape, ruler, paper circles

Vocabulary: bar graph, circle (or pie) graphMath Boxes: page 152Math Game: NoneAssessment: Math Message page 150

5.10 Objective: The Percent Circle: Reading Circle Graphs- To introduce the use of the Percent Circle to measure circle graph sectors.

Key Concept and Skills: - Convert between fractions and percents- Estimate circle-graph sector sizes- Measure sectors of a circle-graph using the Percent Circle- Interpret circle graph sectors

Materials: Geometry Template, calculator, Probability Mater, stick-on notes, compass

Vocabulary: Percent CircleMath Boxes: page 156Math Game: NoneAssessment: Journal page 154

5.11 Objective: The Percent Circle: Making Circle Graphs- To introduce constructing circle graphs with the use of the Percent Circle.

Key Concept and Skills: - Find fraction and percent equivalents- Measure sectors of a circle-graph using the Percent Circle- Construct circle graphs from table data- Interpret data presented in various forms

Materials: Geometry Template, Class Data Pad, white board compass, counters, index cards, masking tape

Vocabulary: NoneMath Boxes: page 159Math Game: Fraction OfAssessment: Exit Slip- How can finding the fraction of the whole

for each category in the data set help you construct a circle graph?

5.12 Objective: American Tour- School Days- To extent the American Tour with information about mathematics instruction and related historical problems.

Key Concept and Skills: - Convert between fractions and percents- Solve problems involving ratios- Use graphs to ask and answer questions and draw

conclusions- Answer questions based on tables

Materials: number cards, Geometry Template, white board, calculator, Class Data Pad, sample bar graphs

Vocabulary: NoneMath Boxes: page 162Math Game: Name That NumberAssessment: Math Boxes page 162 #1

5.13 Objective: Progress Check 5Content Assessed:

-Find equivalent fractions. Convert between fractions and mixed numbers and between fractions and percents. Part A #1-10 Part B #20

-Order and Compare fractions. Part A #14-16 Part B #17-19

-Add fractions using fraction sticks. Part A #11-13 -Estimate the value of circle graph sectors. Part B #21-22-Construct circle graphs from data. Part B #23-Interpret circle graph sectors. Part B #24-26-Measure sectors of a circle graphs. Part B #21, 23

Unit 6 Using Data; Addition and Subtraction of FractionsLiteracy:

-Do You Wanna Bet? by Jean Cushman-Jim and the Beanstalk by Raymond Briggs-Esio Trot by Roald Dahl-Fraction Action by Loreen Leedy-Gator Pie by Louise Matthews

6.1 Objective: Organizing Data- To review data landmarks and methods for organizing data.

Key Concept and Skills: - organize data using a picture, graph, table, or list- Identify data landmarks for data sets- Compare and answer questions about data sets and their

organizationMaterials: calculator, Class Data Pad, stick-on notes, index cards,

colored pencilsVocabulary: minimum, maximum, mode, median, landmark, line

plotMath Boxes: page 167Math Game: NoneAssessment: Journal page 165

6.2 Objective: Natural Measures of Length- To develop measurement and probability concepts.

Key Concept and Skills: - Organize and display data using a table- Use collected data to make predictions about future

outcomes of a simple game- Measure to the nearest millimeter, centimeter, and inch

Materials: tape measure, 4 each of number cards 4-8, white board, Class Data Pad, protractor, ruler

Vocabulary: fathom, cubit, fair gameMath Boxes: page 172Math Game: Finish FirstAssessment: Journal page 169

6.3 Objective: Stem-and-Leaf Plots for Hand and Finger Measures- To introduce stem-and-leaf plots; to provide practice measuring lengths; and with using a protractor.

Key Concept and Skills: - Collect, organize, and interpret class data- Measure finger and hand spans to the nearest millimeter- Measure angles with half-circle protractors

Materials: 4 each of number cards 4-8, white board, Class Data Pad

Vocabulary: span, normal span, great span, stem-and-leaf plot, stem, leaf, angle of separation

Math Boxes: page 175Math Game: Finish FirstAssessment: Exit Slip: Stem and lead plots are a good way to

display data because…

6.4 Objective: Mystery Plots- to provide experience with data presented in line plots and stem-and-leaf plots.

Key Concept and Skills: - Interpret line plots and stem-and-leaf- Use landmarks to identify data sets- Use landmarks to draw conclusions about data sets

Materials: white board, calculator, 4 each of number cards 4-8Vocabulary: noneMath Boxes: page 179Math Game: Finish FirstAssessment: Journal page 176 #5-6

6.5 Objective: Sample Size and Sound Conclusions- To investigate the relationship between sample size and the reliability of derived results.

Key Concept and Skills: - Convert fractions to percents- Construct circle graphs of class data- Make predictions based on sampling

Materials: Geometry Template, calculator, white board, 4 each of number cards 4-8 per group coin or six-sided dice, Class Data Pad, small pieces of colored candy, crayons or markers

Vocabulary: sample, populationMath Boxes: page 181Math Game: Finish FirstAssessment: Math Message

6.6 Objective: Analysis of Sample Data- To provide experiences with displaying and analyzing data.

Key Concept and Skills: - Convert fractions to percents- Construct bar and circle graphs and a stem-and-plots - Identify data landmarks

Materials: calculator, white boardVocabulary: sample, survey, population, frequency tableMath Boxes: page 186Math Game: Frac-Tac-ToeAssessment: Math Masters page 474

6.7 Objective: American Tour: Climate- To introduce contour maps as data displays.

Key Concept and Skills: - Investigate the use of contour maps to organize collected

data- Use the data displayed in contour maps to answer

questions and draw conclusionsMaterials: white board, physical and political maps of the United

States, stick-on notes, contour mapsVocabulary: contour map, climate, precipitation, map legend

(map key), contour lineMath Boxes: page 190Math Game: NoneAssessment: Mental Math and Reflexes

6.8 Objective: Using a Slide Rule to add and Subtract Fractions- To provide a relative distance model for the addition and subtraction of fractions.

Key Concept and Skills: - Convert between fractions and mixed numbers for sums

and differences- Identify fractions on a number line- Add fractions and mixed numbers with like denominators

Materials: white board, calculator, number cards 2-10, per group 2 Geometry Template

Vocabulary: slide rule, slider, holderMath Boxes: page 193Math Game: Divisibility DashAssessment: Journal page 192 #1-4

6.9 Objective: Clock Fractions and Common Denominators- To provide additional references for fraction concepts.

Key Concept and Skills: - Find common denominators- Use clock models and pencil-and-paper algorithms to add

and subtract fractionsMaterials: white boards, per group 2 six-sided dice, slide ruleVocabulary: common denominator, unlike denominatorsMath Boxes: page 199Math Game: Fraction CaptureAssessment: Journal page 194 part 3

6.10 Objective: Quick Common Denominators- To reinforce the use of common denominators to compare, add, and subtract fractions.

Key Concept and Skills:

- Use the product of denominators to find equivalent fractions

- Rename pairs of fractions using a common denominator - Use common denominators to add and subtract fraction

pairsMaterials: white board, multiplication tableVocabulary: quick common denominator, simplest formMath Boxes: page 203Math Game: NoneAssessment: Exit Slip: Explain how fraction sticks can be used to

find common denominators.

6.11 Objective: Progress Check 6Content Assessed:

-Find common denominators. Part A #14-15 Part B #21-Convert between fractions, decimals, and percents. Part B

#20a-d, 22-Add and subtract fractions with like denominators. Part A

#6,8 Part B #19c-Add and subtract fractions with unlike denominators. Part

A #7, 9-13 Part B #19b-Read, interpret, and construct stem-and-leaf plots. Part B

#17,18-Identify and use data landmarks. Part A #1-5a, 16-Understand how sample size affects results. Part A #5b,

5c Part B #20e

Unit 7 Exponents and Negative NumbersLiteracy:

-Less Than Nothing is Really Something by Robert Froman-The King’s Chessboard by David Birch-Anno’s Mysterious Multiplying Jar by Mitsumasa Anno

7.1 Objective: Exponential NotationKey Concept and Skills:

- Write numbers in standard and exponential notation- Compare numbers written in exponential notation- Describe the numbers patters inherent to exponential

notationMaterials: white board calculator, Class Data Pad, counters,

overhead calculatorVocabulary: standard notation, exponential notation, base,

exponent, factor, power of a numberMath Boxes: page 211Math Game: Exponent BallAssessment: Journal page 210

7.2 Objective: Exponential Notation for Powers of 10Key Concept and Skills:

- Explore place value using powers of 10- Write and translate numbers in and between standard

and exponential notation- Compare exponential notation and standard notation for

positive powers of 10- Describe the number patterns inherent to powers of ten

Materials: white board, Geometry Template, 2 six-sided dice, calculator

Vocabulary: number-and-word notation, power of 10Math Boxes: page 213Math Game: First to 100Assessment: Math Message

7.3 Objective: Scientific NotationKey Concept and Skills:

- Explore the place value of numbers written as powers of 10

- Translate numbers from scientific notation to standard and number-and-word notation.

- Use number patterns to solve problems involving exponentsMaterials: white board, per group 2 six-sided dice, Class Data PadVocabulary: expanded notation, scientific notationMath Boxes: page 218

Math Game: Scientific-Notation TossAssessment: Journal page 216

7.4 Objective: Parentheses in Number SentencesKey Concept and Skills:

- Identify and write sentences that model number stories- Solve problems involving parentheses and nested

parentheses- Insert parentheses in order to make true number

sentencesMaterials: white board, per group 1 complete deck of number

cardsVocabulary: expression, ambiguous, nested parenthesesMath Boxes: page 221Math Game: Name That NumberAssessment: Journal page 220 #6

7.5 Objective: Order of OperationsKey Concept and Skills:

- Write an open sentences to model a number story- Evaluate numerical expressions using order of operations- Use the precedence of multiplication and division over

addition and subtractionMaterials: white board, per group 1 four-function and 1 scientific

calculator, Class Data PadVocabulary: order of operationsMath Boxes: page 225Math Game: NoneAssessment: Math Boxes page 225 #5

7.6 Objective: American Tour: Line GraphsKey Concept and Skills:

- Use given data to create line graphs- Use line graph data to answer questions

Materials: NoneVocabulary: axis, Venn diagram, line graph, trendMath Boxes: page 228Math Game: NoneAssessment: Mental Math and Reflexes problems

7.7 Objective: Using Negative NumbersKey Concept and Skills:

- Compare and order signed whole numbers, fractions, and decimals

- Plot signed numbers on a number line

Materials: white board, per group 1 deck of number cards, calculator, Class Data Pad

Vocabulary: negative numberMath Boxes: page 231Math Game: Name That NumberAssessment: Math Master page 400

7.8 Objective: Addition of Positive and Negative NumbersKey Concept and Skills:

- Model sums of positive and negative numbers with manipulatives

- Recognize the additive inverse- Use signed number addition patterns to describe rules for

adding signed numbersMaterials: white board, per group complete deck of number

cards, 1 six-sided die, Class Data Pad, red pencil or crayon, envelope, overhead counters in two colors, black, blue, and red pencils, poster paper, per group 1 paper clip

Vocabulary: account balance, debt, in the black, in the redMath Boxes: page 236Math Game: Credits/Debits GameAssessment: Journal page 233 #1

7.9 Objective: Subtraction of Positive and Negative NumbersKey Concept and Skills:

- Model differences of positive and negative numbers with manipulatives

- Write and solve the equivalent addition number model for signed number subtraction problems

- Use signed-number subtraction patterns to describe a rule for subtracting signed numbers

- Write number sentences that model signed-number addition and subtraction problemsMaterials: white board, per group 4 each of number cards 0-9, +

and – counters from Lesson 7*8Vocabulary: NoneMath Boxes: page 241Math Game: High Number TossAssessment: Math Masters page 487

7.10 Objective: Using a Slide Rule to Add and SubtractKey Concept and Skills:

- Use concrete models to add and subtract signed numbers- Use rules for numeric patterns to solve problems

Materials: calculator, white board, per group 1 complete set of number cards, slide rule

Vocabulary: slide rule, holder, sliderMath Boxes: page 243Math Game: Top-It Games with Negative and Positive NumbersAssessment: Math Boxes page 243 #4

7.11 Objective: Calculator Practice: Working with Negative NumbersKey Concept and Skills:

- Use a calculator to add and subtract numbers- Write number sentences that model signed-number

addition and subtraction problemsMaterials: calculator, per group 1 complete deck of number cardsVocabulary: negative number, opposite, change-sign keyMath Boxes: page 246Math Game: Broken CalculatorAssessment: Mental Math and Reflexes problems

7.12 Objective: Progress Check 7Content Assessed:

-Understand and apply scientific notation. Part B #34-Understand and apply powers of 10. Part B #34-Understand and apply exponential notation. Part A #4, 6,

10, 17 Part B #34-Order and compare positive and negative numbers. Part A

#1- 9-Add and subtract positive and negative numbers. Part A

#7-10, 18-26-Identify number sentences. Tell whether a number

sentence is true or false. Part A #10-Understand and apply the use of parentheses in number

sentences. Part A #11-17- Understand and apply order of operations to evaluate

expressions and solve number sentences. Part A #11-17-Create and use line graphs. Part B #35, 36

Unit 8 Fractions and RatiosLiteracy:

-Fraction Action by Loreen Leedy-Gator Pie by Louise Matthews-Eating Fractions by Bruce McMillan-Only One by Marc Harshman

8.1 Objective: Review: Compare Fractions- To review the use of equivalent fractions in comparisons.

Key Concept and Skills: - Find equivalent fractions- Compare and order fractions- Add fractions and mixed numbers

Materials: Geometry Template, 3 x 5 cards cut in half, read and blue colored pencils or markers, heavy string or rope 8X10 long 3 x 5 index cards, thick marker, paper clips

Vocabulary: Quick Common Denominator (QCD)Math Boxes: page 250Math Game: Build-ItAssessment: Mental Math and Reflexes

8.2 Objective: Adding Mixed Numbers- To develop addition concepts related to mixed numbers.

Key Concept and Skills: - Find equivalent fractions in simplest form- Convert between and simplify fractions and mixed

numbers- Add fractions and mixed numbers

Materials: white board, 2 six-sided dice, Class Data PadVocabulary: NoneMath Boxes: page 253Math Game: Fraction CaptureAssessment: Journal page 252 #4

8.3 Objective: Subtracting Mixed Numbers- To develop subtraction concepts related to mixed numbers.

Key Concept and Skills: - Find equivalent names for mixed numbers- Convert between fractions and mixed numbers- Subtract mixed numbers

Materials: white board, Geometry Template, pre group 1 large paper clip

Vocabulary: NoneMath Boxes: page 256Math Game: Mixed-Number SpinAssessment: Journal 255

8.4 Objective: Calculator Practice: Computation with Fractions- To provide adding fractions with unlike denominators and using a calculator to solve fraction problems.

Key Concept and Skills: - Convert between fractions and mixed numbers- Express fractions and mixed numbers in simplest forms- Compare and order fractions- Use mental arithmetic, paper-and-pencil algorithms, and

calculators to solve fraction and mixed-number addition problemsMaterials: white board, calculator, scissors, per group 8 3x5

cards cut in half, overhead calculatorVocabulary: NoneMath Boxes: page 258Math Game: Fraction Action, Fraction FrictionAssessment: Math Message

8.5 Objective: Fractions of Fractions- To develop a fraction multiplication algorithm.

Key Concept and Skills: - Use unit fractions to find a fraction of a number and to

find the WHOLE- Use an area model to find fractions of fractions

Materials: white board, calculator, 5 sheets of 8 ½ by 11 paper scissors, poster paper, Class Data Pad, per group large paper clip, 3x5 index cards

Vocabulary: vertical, horizontalMath Boxes: page 263Math Game: Fraction SpinAssessment: Math Message Journal page 259

8.6 Objective: An Area Model for Fraction Multiplication- To develop a fraction multiplication algorithm.

Key Concept and Skills: - Use an area model to finds fractions of fractions- Write number models for fraction multiplication problems

shown with an area model- Describe the patterns in the area model for fraction

multiplicationMaterials: white boardVocabulary: area modelMath Boxes: page 267Math Game: NoneAssessment: Journal page 265

8.7 Objective: Multiplication of Fractions and Whole Number- To provide experience finding the product of a whole number and a fraction.

Key Concept and Skills: - Use given denominators to rename numbers as fractions- Find fractions of a set- Use an area model and a fraction multiplication algorithm

to find fraction-by-whole-number productsMaterials: white board, 4 each of number cards 0-9, calculator,

Class Data PadVocabulary: NoneMath Boxes: page 271Math Game: Name That NumberAssessment: Math Boxes page 271 #1

8.8 Objective: Multiplication of Mixed Numbers- To introduce multiplication with mixed numbers.

Key Concept and Skills: - Convert between fractions, decimals, and mixed numbers- Multiply mixed numbers- Use partial-products algorithm to multiply whole

numbers, fractions, and mixed numbersMaterials: white board, 4 each of number cards 0-10, calculator,

countersVocabulary: NoneMath Boxes: page 273Math Game: Frac-Tac-ToeAssessment: Journal page 273 #5

8.9 Objective: Finding a Percent of a Number- To broaden students’ understanding of calculating percents to include discounts.

Key Concept and Skills: - Calculate percents and discounts, and describe strategies

used- Convert between fractions, decimals, and percents- Use ratios expressed as percents to solve problems

Materials: white board, calculator, overhead calculatorVocabulary: discountMath Boxes: page 279Math Game: NoneAssessment: Mental Math and Reflexes

8.10 Objective: Relating Fractional Units to the Whole- To provide practice finding the whole. Given a fraction or a percent of the whole.

Key Concept and Skills:

- Use unit fractions and unit percents to find the whole- Use unit fractions to solve fractions-of problems and unit

percents to solve percent-of problems- Find the unit fraction or percent of a given whole- Convert between fractions and percents

Materials: white board, calculator, Class Data Pad, ruler, countersVocabulary: unit fraction, unit percentMath Boxes: page 283Math Game: Factor CaptureAssessment: Journal page 280

8.11 Objective: American Tour: Rural and Urban- To provide experience with locating information on maps and charts and using percents to make estimates.

Key Concept and Skills: - Use unit fractions to solve fraction-of problems and unit

percents to solve percent-of problems- Find the unit fraction or unit percent of a given whole- Collect and organize data from maps and charts

Materials: white board, 2 six-sided dice, calculator, 2 different colored pencils

Vocabulary: NoneMath Boxes: page 287Math Game: Fraction CaptureAssessment: Math Masters page 461

8.12 Objective: Fraction Division- To introduce of fractions and mixed numbers.

Key Concept and Skills: - Find common denominators for pairs of fractions- Convert between fractions and mixed numbers- Use diagrams and a common denominator method to

solve division of fractions problemsMaterials: white board, per group 1 six-sided die calculator, Class

Data PadVocabulary: NoneMath Boxes: page 290Math Game: Build-ItAssessment: Journal Page 289 #13

8.13 Objective: Progress Check 8Content Assessed:

-Find a percent of a number. Part B #25-Convert among fractions, decimals, and percents. Part A

#1-2

-Convert between fractions and mixed or whole numbers. Part A #15-18

-Find common denominators. Part A #3, 4, 8-11, 13, 19-Order and compare fractions. Part A #5, 6, 20-Use an algorithm to add mixed numbers. Part A #11, 13-Use an algorithm to subtract mixed numbers along with

like denominators. Part A #7, 12, 14 Part B 22, 23- Use an algorithm to multiply fractions. Part B #24, 26, 27-Use an algorithm to multiply mixed numbers. Part B #21,

28, 29

Unit 9 Coordinates, Area, Volume, and CapacityLiteracy:

-Spaghetti and Meatballs for All by Marilyn Burns-Mr. Archimedes’ Bath by Pamela Allen

9.1 Objective: Hidden Treasure: A Coordinates Game- To reinforce students’ understanding of coordinate grid structures.

Key Concept and Skills: - Translate numbers written in scientific notation into

standard notation and number-and-word notation- Use ordered pairs of numbers to name, locate, and plot

points in the first quadrant of a coordinate gridMaterials: white boards, Geometry Template, Class Data Pad,

straightedge, red colored pencil or crayon, compassVocabulary: coordinate grid, axis, origin, ordered pairs, ordered

pair of numbers, vertical axisMath Boxes: page 295Math Game: Hidden Treasure GameAssessment: Mental Math and Reflexes

9.2 Objective: Coordinate Graphs: Part 1- To reinforce plotting coordinates and the relationships between ordered number pairs and transformations of figures in a plane.

Key Concept and Skills: - Identify decimals on a number line- Plot points in three quadrants of a coordinate grid- Use rules to generate transformations of plane figures on

a coordinate gridMaterials: Geometry Template, straightedgeVocabulary: ordered number pair, coordinatesMath Boxes: page 299Math Game: NoneAssessment: Journal page 298

9.3 Objective: Coordinate Graphs: Part 2- To reinforce plotting coordinates and the relationships between ordered number pairs and transformations of figures in a plane.

Key Concept and Skills: - Plot points in three quadrants of a coordinate grid- Construct congruent figures on a coordinate grid- Describe reflections and translations of plane figures

Materials: calculator, white board, Geometry Template, 4 meter sticks, Class Data Pad, straightedge, compass, masking tape, marker

Vocabulary: opposite of a number, translation, reflectionMath Boxes: page 303Math Game: Hidden Treasure

Assessment: Journal page 301

9.4 Objective: Areas of Rectangles- To reinforce students’ understanding of area concepts and units of area.

Key Concept and Skills: - Use a formula to calculate the area of rectangles- Compare inch and centimeter measures for length and

areaMaterials: white board, per group 2 six-sided dice, Class Data Pad

inch ruler, 3 different colored pencils or markers, scissors, pre group 26 centimeter cubes

Vocabulary: area, square units, base, height, formula, variableMath Boxes: page 305Math Game: NoneAssessment: Exit Slip: Explain how you found the area for the

figure in Problem 3b on journal page 205.

9.5 Objective: The Rectangular Method for Finding Area- To introduce the rectangular method for finding areas of polygons.

Key Concept and Skills: - Use polygonal properties to support strategies for finding

the area of the polygons- Describe relationships between U.S. customary and

metric square unitsMaterials: white board, Geometry Template, deck of number

cards with 4 each of numbers 0-10, counter, construction paper, scissors, per group 4 sheets of unlined paper, Spaghetti and Meatballs for All

Vocabulary: personal references, rectangle methodMath Boxes: page 311Math Game: Frac-Tac-ToeAssessment: Math boxes 311 #2

9.6 Objective: Formulas for the Area of Triangles and Parallelograms- To provide experiences with the use of formulas for the area of triangles and parallelograms.

Key Concept and Skills: - Investigate and use formulas to find the area of triangles

and parallelograms- Identify and define the base and height of triangles and

parallelogramsMaterials: calculator, per group 2 pattern block triangles, Class

Data Pad, straightedge, tape or glue, scissorsVocabulary: base, height, perpendicular, altitude

Math Boxes: page 315Math Game: Fraction Action, Fraction Friction

Assessment: Journal page 314 #2,3

9.7 Objective: Earth’s Water Surface- To reinforce the use of sampling to make estimates.

Key Concept and Skills: - Use sampling to make an estimate for surface area

problems- Collect and organize data- Use latitude and longitude coordinates to locate points on

EarthMaterials: white board, Geometry Template, calculator, Class

Data Pad, Probability Meter, world map or globe, stick-on notesVocabulary: latitude, longitudeMath Boxes: page 320Math Game: NoneAssessment: Mental Math and Reflexes

9.8 Objective: Volume of Rectangle Prisms- To provide experiences with using a formula for the volume of rectangular prisms.

Key Concept and Skills: - Use a formula to calculate the volume of rectangular

prisms- Define the base and height of a rectangular prism- Explore the properties of rectangular prisms- Write number sentences with variables to model volume

problemsMaterials: white board, scissors and transparent tape, per

student 24 centimeter tape, per group, one stick-on note, pad of unused stick-on notes, centimeter cube

Vocabulary: volume, cubic unit, rectangular prism, face, base, height

Math Boxes: page 323Math Game: NoneAssessment: Math Boxes page 323 #3

9.9 Objective: Volume of Right Prisms- To provide experiences with using a formula for the volume of right prisms.

Key Concept and Skills: - Use a formula to calculate the volume of prisms- Define and classify prisms according to common

propertiesMaterials: Class Data Pad, demonstration materials, metric ruler,

foam board, knife, scissors, tape or glue Vocabulary: prism, faceMath Boxes: page 326Math Game: Polygon Capture

Assessment: Math Masters page 497

9.10 Objective: Capacity: Liter, Milliliter, and Cubic Centimeter- To reinforce the relationships between the liter, milliliter, and cubic centimeter.

Key Concept and Skills: - Explore relationships between units of length and units of

capacity- Investigate relationships between units of length and

units of capacity- Describe patterns in relationships between the

dimensions and volume of rectangular prismsMaterials: white board, base-10 flats or longs, Class Data Pad,

scissors, transparent tape, 1-liter cube, water tight liter box, 1-liter pitcher, measuring cup, Mr. Archimedes’ Bath, per group 5 different-size containers, 5 volume-measuring tools, macaroni, centimeters cubes, or other small items to fill containers

Vocabulary: liter (L), capacity, quart (qt), cup (c), milliliter (mL), cubic centimeter, volume of a container

Math Boxes: page 331Math Game: NoneAssessment: Exit Slip: Explain the differences between volume

and capacity and have them list several examples of things that would be measured in cubic centimeters and several examples of things that would be measured in milliliters.

9.11 Objective: Progress Check 9Content Assessed:

-Understand the concept of area of a figure. Part A #5, 11-Use a formula to find the areas of triangles and

parallelograms. Part A #6-9-Identify and ploy ordered pairs on a one-and four-

quadrant coordinate grid . Part A #1-4, 12, 13-Understand the concept of volume of a figure. Part A #14,

15, 17 Part B #22-Use a formula to find the volume of prisms. Part A #16, 17

Part B 18-21-Identify the base and height of triangles and

parallelograms. Part A #10

Unit 10 Using Data; Algebra Concepts and SkillsLiteracy:

-The Librarian Who Measured the Earth by Kathryn Lasky-Sir Cumference and the First Round Table by Cindy

Neuschwander-Pi: A Math Adventure by Cindy Neuschwander

10.1 Objective: Pan-Balance- To introduce a pan-balance approach for solving simple equations.

Key Concept and Skills: - Use addition and subtraction to solve pan-balance

problems- Use multiplication and division to solve pan-balance

problems- Use a pan-balance model to solve linear equations in one

unknownMaterials: 4 trapezoid-shaped pattern blocks. White board, Class

Data Pad, box of 100 standard 1 inch paper clips, 7 identical ballpoint pens, 4 quarters, pan balance, small objects, nickels, pennies, paper clips, centimeter cubes, and so on; 30 pennies; 10 each from 1981. 1982 and 1983

Vocabulary: pan balanceMath Boxes: page 335Math Game: First to 100Assessment: Mental Math and Reflexes

10.2 Objective: Pan-Balance Problems with Two Balances- To develop a pan-balance approach for solving sets of two equations in two unknowns.

Key Concept and Skills: - Use addition and subtraction to solve pan-balance

problems- Use multiplication and division to solve pan-balance

problems- Use a pan-balance model to solve linear equations in two

unknownsMaterials: white board, box of 100 standard 1 inch paper

clips, 3 identical ballpoint pens, 3 identical compasses, 3 identical placstic 6 inch half-circle protractors, 1 plastic 12 inch ruler, 1 or 2 pan balances, Class Data Pad

Vocabulary: NoneMath Boxes: page 340Math Game: None (Logic Puzzles)Assessment: Math Message

10.3 Objective: Algebraic Expressions- To introduce the use of algebraic expressions to represent situations and describe rules.

Key Concept and Skills: - Identify and use patterns in tables to solve problems- Write algebraic expressions to model rules- Use variables to write number models that describe

situationsMaterials: white board, per group, 1 complete deck of number

cards, Geometry Template, compass or ruler, Class Data PadVocabulary: algebraic expressionMath Boxes: page 344Math Game: Name that NumberAssessment: Journal pages 341-342

10.4 Objective: Rules, Tables, and Graphs: Part 1- To develop representational forms for rates.

Key Concept and Skills: - Use table data to create line graphs- Represent functions with tables, graphs, and formulas- Extend patters in graphs and tables to solve problems

Materials: white board, straightedgeVocabulary: rate, formula, variable, line graphMath Boxes: page 345Math Game: NoneAssessment: Journal pages 348, 349

10.5 Objective: American Tour: Old Faithful’s Next Eruption- To provide experience with using a formula as a prediction tool.

Key Concept and Skills: - Construct line graphs that represent single sets of data- Extend patterns in graphs and tables to solve problems- Represent functions with tables, graphs, and formulas

Materials: white board, calculator, atlas or map of United States, straightedge

Vocabulary: geyser, predictMath Boxes: page 352Math Game: NoneAssessment: Math boxes page 352 #3

10.6 Objective: Rules, Tables, and Graphs: Part 2- To provide experiences with interpreting tables and graphs.

Key Concept and Skills: - Construct line graphs that represent two sets of data- Extend patterns in graphs and tables to solve problems- Represent rates with formulas, tables, and graphs

Materials: white board, calculator, Class Data Pad, straightedge, 3-4 different colored pencils or markers, paper clip, stopwatch

Vocabulary: coordinates, ordered number pairsMath Boxes: page 353Math Game: Mixed-Number Spin or Fraction SpinAssessment: Journal page 355 #5a

10.7 Objective: Reading Graphs- To provide experiences with interpreting line graphs.

Key Concept and Skills: - Read and analyze line graphs and answer questions

based on the displayed data- Identify and use patterns in graphs to match graphs with

situationsMaterials: white board, 2 six-sided dice, calculator, Class Data

PadVocabulary: mystery graphMath Boxes: page 359Math Game: First to 100Assessment: Math Message

10.8 Objective: Circumference of a Circle- To provide experience with comparison ratios and the use of the irrational number (pi).

Key Concept and Skills: - Use ratios to express relationships between dimensions of

objects- Find the median of a data set- use ratios to define (pi) and describe the relationship

between circumference and diameterMaterials: white board, calculator, per group meter stick,

collection of round objects, board compass, 1-foot piece of string, per group metric tape measure, 4-foot length of string, Class Data Pad, The Librarian Who Measured the Earth, two or three 5x8 pieces of paper, or index cards, scissors

Vocabulary: ratio, ratio comparison, diameter, circumference, radius, pi

Math Boxes: page 363Math Game: NoneAssessment: Journal page 360

10.9 Objective: Area of Circles- To introduce a formula to calculate the area of a circle.

Key Concept and Skills: - Find the median of a data set- Investigate and apply a formula for finding the area of a

circle

- Use ratios to describe the relationship between radius and area

- Use patterns in a table to define the relationship between radius and areaMaterials: white board, calculator, 3 six-sided dice, Geometry

Template, collection of round objects from lesson 10.8, metric ruler, scissors, colored pencil or marker, construction paper

Vocabulary: noneMath Boxes: page 367Math Game: First to 100Assessment: Math Masters page 458

10.10Objective: Progress Check 10Content Assessed:

-Interpret mystery line plots and graphs. Part A #8-Use formulas to find circumference and area of a circle.

Part B #14-15-Distinguish between circumference and area of a circle.

Part A #9-11-Write algebraic expressions to represent situations. Part A

#1-3-Solve one-step pan-balance problems. Part A #4-7- Solve two-step pan-balance problems. Part B #16- Represent rate problems as formulas. Part B #17-18

Unit 11 Using Data; Algebra Concepts and SkillsLiteracy:

-Flatland by Edwin Abbott-Who Sank the Boat? by Pamela Allen-The Boy Who Reversed Himself by Willian Sleator

11.1 Objective: Review of Geometric Solids: Part 1- To review the names and properties of geometric solids.

Key Concept and Skills: - Compare and classify geometric solids- Describe and classify polyhedrons according to their faces

Materials: white board, per group polyhedral dice, Geometry Template, 5 index cards, scissors, tape or glue, per group collection of geometric solids, Class Data Pad, decahedral die, chart paper

Vocabulary: prism, pyramid, cylinder, cone, sphere, geometric sold, surface, edge, vertex (vertices or vertexes), polyhedron

Math Boxes: page 371Math Game: NoneAssessment: Journal page 369 #1

11.2 Objective: Review of Geometric Solids: Part 2- To provide experience comparing the properties of geometric solids.

Key Concept and Skills: - Use a Venn diagram to organize data- Describe and classify geometric solids according to their

properties- Identify congruent faces on geometric solids

Materials: white board, per group 1 hexagon and 1 cube pattern blocks, per group set of constructed geometric solids, Flatland, scissors colored pencils or markers, cm ruler, pennies

Vocabulary: base, apexMath Boxes: page 374Math Game: 3-D Shape SortAssessment: Journal page 373

11.3 Objective: Volume of Cylinders- To introduce the formula for the volume of cylinders.

Key Concept and Skills: - Use tables to collect data- Apply formulas to calculate the area of a circle and the

volume of prisms and cylinders- Compare the volume and the capacity of cylinders

Materials: calculator, Geometry Template, Class Data Pad, open cans or watertight cylindrical containers, ruler, 1-gal container of water, measuring cups, base-10 cube, masking tape, per group 4 sheets of 8 ½ by 11 construction paper, cylindrical objects

Vocabulary: NoneMath Boxes: page 378Math Game: NoneAssessment: Exit Slip: Explain what is similar and what is

different between finding the volume of cylinders and finding the volume of prisms.

11.4 Objective: Volume of Pyramids and Cones- To provide experiences with investigation the relationship between the volumes of geometric solids.

Key Concept and Skills: - Use formulas to find the volume of geometric solids- Compare the properties of pyramids, prisms, cones, and

cylinders- Describe patterns in relationships between the volumes

of prisms, pyramids, cones, and cylindersMaterials: white board, calculator, 1 piece card stock, food can,

dry fill, Class Data Pad, scissors, crayons or colored pencils, yellow, orange, red

Vocabulary: NoneMath Boxes: page 381Math Game: Rugs and FencesAssessment: Math Boxes #1

11.5 Objective: Finding the Volume by a Displacement Method- To introduce finding the volume of irregular objects a water displacement method.

Key Concept and Skills: - Use tables to collect data- Use a displacement method to find the volume of

irregular solids- Calibrate and use a metric measuring tool to compare

volume and capacityMaterials: white board, pre group, ruler, measuring cup, tape,

paper towels, 2 L plastic bottle, paper, scissors, rubber bands, large can or jar filled with 2 L of water, rocks and other objects or clear container, partially filled with water, empty margarine tub or yogurt container, rocks, waterproof marker, dictionaries, Who Sank the Boat?

Vocabulary: displacement, calibrateMath Boxes: page 385Math Game: NoneAssessment: Mental Math and Reflexes

11.6 Objective: Capacity and Weight- To provide experience with converting measurements among units of weight, capacity, and volume.

Key Concept and Skills: - Use the formula for the volume of a prism to solve

capacity problems- Use capacity calculations to solve problems- Convert between standard units of capacity

Materials: white board, per group set of polyhedral dice, Class Data Pad, demonstration materials, containers (pint, quart, half-gallon, and gallon), copy-paper carton, measuring cup, water, sand, popcorn, or rice, scale

Vocabulary: NoneMath Boxes: page 388Math Game: Name That NumberAssessment: Math Masters, page 490

11.7 Objective: Surface Area- To introduce finding the surface area of prisms, cylinders, and pyramids.

Key Concept and Skills: - Measure the dimensions of a cylinder in inches and

centimeters- Use rectangle and triangle area formulas to find the

surface area of prisms and cylinders- Apply a formula to calculate the are of a circle- Identify and use the properties of prisms, pyramids, and

cylinders in calculationsMaterials: white board, calculator, cardboard box, per group 2

cans, tape measure, ruler, triangular prism, and square pyramid, 24 centimeter cubes

Vocabulary: surface areaMath Boxes: page 391Math Game: NoneAssessment: Journal pages 389-390

11.8 Objective: Progress Check 11Content Assessed:

-Use formulas to find the volume of prisms and cylinders. Part A #5,6,11,13-16

-Use formulas to find the area of polygons and circles. Part A #7-10,12

-Find the surface area of prisms. Part B #17-Understand how to find the surface area of cylinders. Part

B #18-Understand the concept of capacity and how to calculate

it. Part B #21,22-Know the properties of geometric solids. Part A #1-4

-Understand the relationship between the volume of pyramids and prisms and the volume of cones and cylinders. Part B #19-20

Unit 12 Probability, Ratios, and RatesLiteracy:

-Jumanji by Chris Van Alsburg-If You Hopped Like a Frog by David M. Schwartz-Do You Wanna Bet? by Jean Cushman

12.1 Objective: Factor Trees- To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Key Concept and Skills: - Identify the prime factorization for a number- Use greatest common factors and least common

multiples to rename fraction- Use multiplication fact to find factor strings- Find greatest common factors and least common

multiples using factor stringsMaterials: calculator, Class Data Pad, coin-sized counters, chart

apper, markersVocabulary: prime factorization, factor tree, common factor,

greatest common factor, least common multipleMath Boxes: page 397Math Game: Factor CaptorAssessment: Journal page 394

12.2 Objective: Choices, Tree Diagrams, and Probability- To introduce the Multiplication Counting Principle and tree diagrams.

Key Concept and Skills: - Describe events using basic probability terms- Use the Multiplication Counting Principle and tree

diagrams to solve probability problems- Express the probability of an event as a fraction

Materials: per group 2 dice, JumanjiVocabulary: probability, Multiplication Counting Principle, tree

diagrams, equally likely Math Boxes: page 403Math Game: NoneAssessment: Journal page 398

12.3 Objective: American Tour: Ratio Exploration- To provide experience with ratios of part of a set to the whole set.

Key Concept and Skills: - Write ratios in equivalent forms- Compare numbers that are 10 times more or 10 times

less than each other- Express ratios in a variety of ways

Materials: white board

Vocabulary: ratio, ratio comparison, magnitude Math Boxes: page 407Math Game: First to 100Assessment: Mental Math and Reflexes

12.4 Objective: Ratios of Parts to Wholes- To provide experience with ratios of part of a set to the whole set.

Key Concept and Skills: - Use equivalent fractions and ratio models to solve

fraction-of problems- Find ten times more than and 1/10 of a given number- Write ratios in equivalent forms- Model and solve ratio problems

Materials: scissors and envelope, Square Tiles (Math Journal 2 Activity Sheet)

Vocabulary: NoneMath Boxes: page 411Math Game: NoneAssessment: Journal page 408 #1-3

12.5 Objective: Number Models for Ratio Number Stories- To introduce writing number models for ratio number stories.

Key Concept and Skills: -Use equivalent fraction and ratio models to solve number

stories-Write ratios in equivalent forms-Model and solve ratio problems

Materials: white board, Square TilesVocabulary: NoneMath Boxes: page 415Math Game: NoneAssessment: Math Boxes page 415 #3

12.6 Objective: Finding Your Heart Rate- To provide experience calculating rates from data.

Key Concept and Skills: -Identify equivalent expressions for rations-Use multiplication to make estimates-Solve rate problems-Measure to the nearest inch

Materials: white board, per group calculator, Geometry Template, per group watch or classroom clock that displays seconds, inch ruler, spoons, index cards, unlined paper, reference sources about animals, Class Data Pad

Vocabulary: pulse, pulse rate, heart rateMath Boxes: page 417

Math Game: Spoon ScrambleAssessment: Math Masters page 503

12.7 Objective: Collecting, Graphing, and Interpreting Data- To provide experience with using graphs to represent, compare, and interpret data.

Key Concept and Skills: -Construct line graphs and side-by-side line plots of

collected data -Find and interpret the landmarks for collected data -Make predictions based on simple experiments

Materials: per group watch or classroom clock that displays seconds, sturdy chair, per student 6 stick-on notes, colored paper or crayon, ruler or straightedge

Vocabulary: rate, profile, target heart rateMath Boxes: page 422Math Game: NoneAssessment: Mental Math and Reflexes

12.8 Objective: Finding Your Cardiac Output- To provide experience with calculating rates and using rates to compare data.

Key Concept and Skills: -Solve rate problems using multiplication- Compare rates and solve problems-Solve ratio problems

Materials: calculator, empty 1-gallon container, If You Hopped Like a Frog

Vocabulary: oxygen, nutrients, carbon dioxide, cardiac outputMath Boxes: page 426Math Game: Coordinate SearchAssessment: Math Boxes page 426 #1

12.9 Objective: Progress Check 12Content Assessed:

-Find the greatest common factor of two numbers. Part A #4

-Find the least common multiple of two numbers. Part A #5-9

-Find the prime factorization of numbers. Part A #1-3-Find the factors of numbers. Part A #1-2-Understand and use tree diagrams to solve problems. Part

B #14-Use the Multiplication Counting Principle to find the total

number of possible outcomes of a sequence of choices. Part B #14-Compute the probability of outcomes when choices are

equally likely. Part B #15

- Solve ratio and rate problems. Part A 10-13 Part B 16-20