Class

Class 5th Grade Math Instructor Mark S. Houle

September

Mathematical Strand Content Standards/Benchmarks Skills Assessments

Numbers and  Introduction to the 5.1.1.1, 5.1.1.2, 5.1.1.3,  Identify places in  Oral/Slate/Written

Numerations: Student Reference 5.1.1.4, 5.1.3.4 whole numbers,  Self

Book and decimals and  Open Response

Patterns, Functions, and  Rectangular the value of those  Math Boxes

Algebra: Arrays places.  Games

 Factors  Choose appropriate  Review and Unit

Operations and  The Factor Captor strategies for assessment

Computation: Game solving problems.

 Divisibility  Find factors of

 Prime and numbers.

Composite  Number sentences

Numbers for rectangular

 Square Numbers arrays.

 Unsquaring  Use turn-around

Numbers rule for

 Factor Strings and multiplication.

Prime  Number models for

Factorizations rectangular arrays

 Unit 1 Review and  Identify odd and

Assessment even numbers.

 Mult. Facts.

 These Skills will  Find factors for

be found in the divisibility and

following other numbers.

Sections: 1.2,  Operations of Mult.

1.2.9, 1.3.1, And Division.

10.3.2, 9.8.1,  Use divisibility

16.3.3, 9.8, 17.1.2, rule.

10.1.2, 9.3.4, 9.5  Prime and

Composite

Numbers.

 Use exponential

notation in square

numbers

 Use exponents.



 Factor Strings.



 Prime and

Composite

numbers.



 Write prime

factorization of a

number.



 Array patterns to

define square root.







Operations and

Computations







Data and Chance







Measurements and

Reference Frames:









Geometry





Patterns, Functions, &

Algerbra

October

Mathematical Strand Content Standards/Benchmarks Skills Assessments

Data and Chance:  Fraction Review 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7,  Find fractions of  Oral

 Mixed Numbers 5.8, 5.9, 5.10, 5.11, 5.12, 5.13 sets

Measurement and  Ordering Fractions  Equivalent fractions  Slate

Reference:  Two Rules for  Use of fractions to

Finding Equivalent solve problems

Patterns, Functions, and Fractions  Compare fractions  Written

Algebra:  Fractions and and mixed numbers

Decimals: Part 1  Identify parts of  Self

Operations and  Fractions and whole

Computation: Decimals: Part 2  Add fraction using

 Fractions and an area model  Open Response

Number and Numeration: Decimals: Part 3  Fractions using a

 Using a Calculator length model  Math Boxes

Geometry:

to Convert  Multiplication and

Fractions to division rules to

Percents find equivalent  Games

 Bar and Circle fractions

Graphs  Rename fractions to  Review and Unit

 The Percent decimals Assessment

Circle: Reading  Compare and order

Circle Graphs decimals

 The Percent  Round decimals

Circle: Making  Convert fractions,

Circle Graphs mixed numbers and

 American Tour: decimals

School Days  Differentiate

 Unit 5 Review and repeating and

Assessment terminating

decimals

 Use correct notation

to write repeating

and terminating

decimals

 Use of calculator to

rename fractions to

decimals

 Define use and

meaning of percent

 Fractions use in a

circle graph

 Estimate the value

of a circle graph

 Measure sectors of

a circle using the

percent circle

 Interpret circle

graph

 Find fractions and

percent equivalents

 Construct a circle

graph from table

data

 Interpret data

presented in various

forms

 Solve problems

involving ratios

 Use graphs to ask

and answer

questions and draw

conclusions

 Answer question

based on tables

Month December



Mathematical Strand Content Standards/Benchmarks Skills Assessments

Data and Chance:  Organizing Data 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7,  Organize Data  Oral/Slate/Written

 Natural Measures 6.8, 6.9, 6.10, 7.1, 7.2, 7.3,  Identify data  Self

Measurements and of Length 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, landmarks for sets  Open Response

Reference Frames:  Stem-and-Leaf 7.10, 7.11, 7.12  Compare and  Math Boxes

Plots for Hand and answer questions  Games

Number and numeration: Finger Measures about data  Review and Unit

 Mystery Plots  Display data using assessment

Patterns, functions, and  Sample Size and a table

Algebra: Good Conclusions  Make predictions

 Analysis of from data

Operation and Sample Data  Measure to nearest

computation:  American Tour: millimeter,

Climate centimeter, and

 American Tour: inch

Climate  Collect, organize

 Using a Slide Rule and interpret data

to Add and  Measure to nearest

Subtract Fractions millimeter of finger

 Using a Slide Rule and hand spans

to Add and  Measure angles

Subtract Fractions with half-circle

 Clock Fractions protractor

and Common  Interpret line plots

Denominators and stem-and-leaf

 Quick Common plots

Denominators  Use landmarks to

 Unit 6 Review and identify data sets

Assessment  Draw conclusions

 Exponential from data sets

Notation  Convert fractions

 Exponential to percents

Notation for  Construct circle

Powers of 10 graph

 Scientific Notation  Make predictions

 Parentheses in based on sampling

Number Sentences  Construct bar and

 Order of circle graphs and

Operations stem-and-leaf plots

 Using Negative  Use contour maps

Numbers  Identify fractions

 Addition of on number lines

Positive and  Convert fractions

Negative Numbers and mixed numbers

 Subtraction of  Add and Subtract

Positive and mixed numbers

Negative Numbers with like

 Using a Slide Rule denominators

to Add and  Find common

Subtract denominator

 Calculator  Use product of

Practice: Working denominator to find

with Negative equivalent fractions

Numbers  Use common

 Unit 7 Review and denominators to

Assessment add and subtract

fraction pairs

 Write and compare

standard and

exponential

notation

 Place value powers

of 10

 Patterns of powers

of ten

 Write numbers

numbers between

standard and

exponential

notation

 Write standard and

number-and –word

notation

 Use number

patterns to solve

problems involving

exponents

 Write model

number stories

 Solve problems

involving

parentheses

 Insert parentheses

 Write open

sentence

 Identify order of

operation

 Use data to create

and answer line

graph

 Model sums of pos.

and neg. numbers

 Recognize the

additive inverse

 Use rules for

addition and

subtraction

 Model differences

for pos. and neg.

number

 Write and solve the

equivalent addition

number models for

signed sub.

Problems

 Write number

sentences that

model signed-

number add. and

sub. Problems

 Use calculator to

add and sub.





Month January

Mathematical Strand Content Standards/Benchmarks Skills Assessments

Number and Numeration:  Review: 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7,  Find equivalent  Oral/Slate/Written

Comparing 8.8, 8.9, 8.10, 8.11, 8.12 fractions

Fractions  Compare and order  Self

Operation and  Adding Mixed fractions

Computation: Numbers  Add fractions with  Open Response

 Subtracting Mixed common

Numbers denominators  Math Boxes

Data and Chance:  Calculator  Find equivalent

Fractions; fractions in  Games

Fraction Action, simplest form

Fraction Friction  Convert between  Review and Unit

 Fractions of and simplify assessment

Fractions fractions and

 An Area Model for mixed numbers

Fraction  Add fractions and

Multiplication mixed numbers

 Multiplication of  Find equivalent

Fractions and names for mixed

Whole Numbers numbers

 Multiplication of  Convert between

Mixed Numbers fractions and

 Finding a Percent mixed numbers

of a Number  Fraction and mixed

 Using Unit numbers in

Fractions and Unit simplest form

Percents to Find  Use mental math,

the Whole paper-and-pencil,

 American Tour: calculator, to solve

Rural and Urban fractions and

Fraction Division mixed-number

 Unit 8 Review and addition problems

Assessment  Find a fraction of a

number and whole

 Use area model to

find fraction of a

fraction

 Write number

model for fraction

mult. Problems

with area model

 Describe the

pattern in a area

model for fraction

muilt.

 Use given

denominator to

rename fractions

 Find fraction set

 Use area model

and a fraction mult.

Algorithm to find

fraction-by-whole

number product

 Mult. Mixed

numbers

 Use partial-product

algorithm to mult.

Whole numbers,

fractions, and

mixed numbers

 Calculate percents

and discounts

 Convert between

fraction, decimals,

percents

 Use ratios in

percent

 Find unit fraction

or percent in the

whole

 Collect , organize

data from maps

and charts

 Find common

denominators for

pairs of fractions

 Use diagrams and a

common

denominator

method to solve

division of

fractions problems



Month February



Mathematical Strand Content Standards/Benchmarks Skills Assessments

Numbers and  Hidden Treasure: 9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7,  Translate scientific  Oral/Slate/Written

Numerations: A Coordinate 9.8, 9.9, 9.10 notation into

Game standard notation  Self

Measurement and  Coordinate and number-and-

reference frames: Graphs: Part 1 word notation  Open Response

 Coordinate  Use ordered pairs

Geometry: Graphs: Part 2 of numbers to  Math Boxes

 Areas of name, locate, and

Operation and Rectangles plot points in the  Games

Computation:  The Rectangle first quadrant of a

Method for coordinate grid  Review and Unit

Data and Chance: Finding Area  Identify decimals assessment

 Formulas for the on a number line

Patterns, Function, and Area of Triangles  Use rules to

Algebra: and generate

Parallelograms transformation of

 Earth's Water plane figures on a

Surface and the coordinate grid

School's Land  Plot points of three

Area quadrants of a

 Volume of coordinate grid

Rectangular  Construct

Prisms congruent figures

 Volume of Prisms on a coordinate

 Capacity: Liter, grid

Milliliter, and  Describe

reflections and

Cubic Centimeter translations of

 Unit 9 Review and plane figure

Assessment  Area of rectangles

 Compare inch, and

centimeter

measures for length

of area

 Use polygons

properties for

finding area of

polygons

 Relations of

customary and

metric

 Use formulas to

find area of

triangles and

parallelograms

 Estimate surface

areas

 Collect and

organize data

 Use latitude and

longitude to locate

points on the earth

 Calculate volume

of a rectangular

prism

 Define base and

height of a

rectangular prism

 Explore properties

of a rectangular

prism

 Write number

sentences with

variables to model

volume problems

 Calculate volume

of a prism

 Define and classify

prisms according to

common properties

 Relation of unit

length and unit

capacity

 Conversion

between unit

capacity and units

of volume

 Describe patterns

in relationships

between the

dimensions and

volume of

rectangular prisms



Month March



Mathematical Strand Content Standards/Benchmarks Skills Assessments

Operation and  Pan-Balance 10.1, 10.2, 10.3, 10.4, 10.5,  Use addition and  Oral/Slate/Written

Computation: Problems 10.5, 10.7, 10.8, 10.9, subtraction to solve

 Pan-Balance pan-balance  Self

Patterns, Functions, and Problems with problems

Algebra: Two Balances  Use multiplication  Open Response

 Algebraic and division to

Data and Chance: Expressions solve pan-balance  Math Boxes

 Rules, Tables, and problems

Measurement and Graphs: Part 1  Use pan-balance  Games

Reference:  American Tour: model to solve

Predicting Old linear equations in  Review and Unit

Faithful's Next one and two assessment

Eruption unknowns

 Rules, Tables, and  Identify and use

Graphs: Part 2 patterns in tables to

solve problems

 Reading Graphs  Write algebraic

 Circumference of expressions to

a Circle model rules

 Areas of Circles  Use variables to

 Unit 10 Review write number

and Assessment models that

describe situations

 Use table data to

create line graph

 Represent

functions with

tables, graphs, and

formulas

 Extend patterns in

graphs and tables

to solve problems

 Construct line

graphs that

represent two sets

of data

 Represent rates

with formulas,

tables, and graphs

 Read and analyze

line graphs and

answer questions

based on the

displayed data

 Use patterns in

graphs in graphs to

match graphs with

situations

 Use ratios to

express

relationships

between

dimensions of

objects

 Fine median in a

set of data

 Use ratio to define

pi and describe the

relationship

between

circumference and

diameter

 Find area of a

circle

 Use ratio to

describe

relationship

between radius and

area

 Use patterns in a

table to define the

relationship

between radius and

area



Month April



Mathematical Strand Content Standards/Benchmarks Skills Assessments

Geometry:  Review of 11.1, 11.2, 11.3, 11.4, 11.5,  Compare and  Oral/Slate/Written

Geometric Solids: 11.6, 11.7 classify geometric

Data and Chance: Part 1 solids  Self

 Review of  Describe and

Measurement and Geometric Solids: classify  Open Response

Reference: Part 2 polyhedrons to

 Volume of their faces and  Math Boxes

Patterns, Function, and Cylinders properties

Algebra:  Volume of  Use a Venn  Games

Pyramids and diagram to

Cones organize data  Review and Unit

 Finding Volume  Identify congruent assessment

by a Displacement faces on geometric

solids

Method  Use table to collect

 Capacity and data

Weight  Apply formulas to

 Surface Area calculate the area

 Unit 11 Review of a circle and the

and Assessment volume of prisms

and cylinders

 Compare the

volume and

capacity of a

cylinders

 Describe patterns

in relationships

between the

volumes of prisms,

pyramids, cones,

and cylinders

 Use displacement

method to find

volume of irregular

solids

 Calibrate and use a

metric measuring

tool to compare

volume and

capacity

 Use the formula for

the volume of a

prism to solve

capacity problems

 Convert between

standard units of

capacity

 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 area of a

circle

 Identify and use the

properties of

prisms, pyramids,

and cylinders in

calculations





Month May



Mathematical Strand Content Standards/Benchmarks Skills Assessments

Number and Numeration:  Factor Trees 12.1, 12.2, 12.3, 12.4, 12.5,  Identify the prime  Oral/Slate/Written

 Choices, Tree 12.6, 12.7, 12.8 factorization for a

Operation and Diagrams, and number  Self

Computation: Probability  Use greatest and

 American Tour: least common  Open Response

Patterns, Functions, and Ratio Exploration multiples to

Algebra:  Ratios of Parts to rename fraction  Math Boxes

Wholes  Use mult. Facts to

Data and Chance:  Number Models find factor strings  Games

for Ratio Number  Find greatest

Measurement and Stories common factors  Review and Unit

Reference  Finding Your and least common assessment

Heart Rate multiples using

 Collecting, factor string

Graphing, and  Describe events

Interpreting using basic

Exercise Data probability terms

 Finding Your  Use counting mult.

Cardiac Output Principle and tree

diagrams to solve

 American Tour: probability

End-of-Year problems

Projects  Express the

 Unit 12 Review probability of an

and Assessment event as a fraction

 Write ratios in

equivalent form

 Compare numbers

that are ten times

more or ten times

less than each other

 Express ratios in a

variety of ways

 Use equivalent

fractions and ratios

models to solve

fraction-of

problems

 Find ten times

more of 1/10 of a

given problem

 Model and solve

ratio problems

 Identify equivalent

expressions for

ratios

 Use mult. To make

estimates

 Solve rate

problems measure

to nearest inch

 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

 Solve rate

problems using

mult.

 Compare and solve

rate problems

 Solve ratio

problems