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Welcome

4th Grade Resources

5th Grade Resources

District

Website

Links

Allendale

Home Page

4th Grade GLCEs

5th Grade GLCEs

State

Website

E-Mail

Mr. Maffesoli

 

   

 

 

 

Greetings from

Allendale Math Specialist

Mr. Maffesoli !

 

 

 

This website is designed to assist upper grade teachers and students at Allendale Elementary in the area of mathematics. The site consists of three primary sections. There is a 4th grade section that lists the GLCEs (Grade Level Content Expectations) created by the state, along with additional resources, including a page regarding Everyday Mathematics in that grade. The second key section of this website features the same elements that were previously mentioned, but which correspond to 5th grade learning. The final major component is a section of links to other websites on the Internet that are useful.

 

Mr. Maffesoli can be contacted via e-mail at maffesm@melnap.k12.mi.us

or by phone at (313) 389-4664, extension 519.

 

 

 

 

 

 

 

 

 

 

 

 

 

Welcome

4th Grade Resources

5th Grade Resources

District

Website

Links

Allendale

Home Page

4th Grade GLCEs

5th Grade GLCEs

State

Website

E-Mail

Mr. Maffesoli

 

 

 

 

4th Grade Resources

 

 

Click here to access 4th grade resources for Everyday Mathematics.

 

 

Click on a red-lettered strand to view all of the GLCEs for the named strand.

 

Strand 1

Number and Operations

Strand 2

Algebra

Strand 3

Measurement

Strand 4

Geometry

Strand 5

Data and Probability

(ME) Meaning, notations, place value, and comparisons

(PA) Patterns, relations, functions, and change

(UN) Units and systems of measurement

(GS) Geometric shape, properties, and mathematical arguments

(RE) Data representation

(MR) Number relationships and meaning of operations

(RP) Representation

(TE) Techniques and formulas for measurement

(LO) Location and spatial relationships

(AN) Data interpretation and analysis

(FL) Fluency with operations with estimation

(RP) Formulas, expressions, equations, and inequalities

(PS) Problem solving involving measurement

(SR) Spatial reasoning and geometric modeling

(PR) Probability

 

 

 

(TR) Transformation and symmetry

 

 

 

4th Grade Math GLCEs

 

The assessments that appear within this website can be downloaded by school personnel. View them by first opening the Everyday Mathematics Tester program which is accessible using the drives that appear once Novell Login has occurred. Then simply open the desired file. These files will all have a (.wss) extension.

 

 

 

 

NUMBERS AND OPERATIONS

 

Understand and use

Number notation and place value

 

N.ME.04.01

Read and write numbers to 1,000,000; relate them to the quantities they represent; compare and order.

 

N.ME.04.02

Compose and decompose numbers using place value to 1,000,000s (e.g. 25,068 is 2 ten thousands, 5 thousands, 0 hundreds, 6 tens, and 8 ones)

 

N.ME.04.03

Understand the magnitude of numbers up to 1,000,000; recognize the place values of numbers and the relationship of each place to the place to its right (e.g. 1,000 is 10 hundreds).

 

Use factors and multiples

 

 

N.ME.04.04

Find all factors of any whole number through 50, list factor pairs, and determine if a one-digit number is a factor of a given whole number.

 

N.ME.04.05

List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number.

 

N.MR.04.06

Know that some numbers including 2,3,5,7, and 11 have exactly two factors (1 and the number itself) and are called prime numbers.

 

N.MR.04.07

Use factors and multiples to compose and decompose whole numbers.

 

Add and subtract

whole numbers

 

N.FL.04.08

Add and subtract whole numbers fluently

 

Multiply and divide

whole numbers

 

N.ME.04.09

Multiply two-digit numbers by 2,3,4 and 5 using the distributive property [(e.g. 21x3 = (1+20)x3 = (1x3) + (20x3) = 3 + 60 = 63 ]

 

N.FL.04.10

Multiply fluently any whole number by a one-digit number and a three-digit number by a two-digit number; for a two-digit by one-digit multiplication use distributive property to develop meaning for the algorithm.

 

N.FL.04.11

Divide numbers up to four-digits by one-digit numbers and by 10.

 

N.FL.04.12

Find the value of the unknowns in equations such as:

 a div. 10=25; 125 div. b=25.

 

N.MR.04.13

Use the relationship between multiplication and division to simplify computations and check results.

Assessment

N.MR.04.14

Solve contextual problems involving whole number multiplication and division.

 

Read, interpret, and

compare decimal fractions

 

N.ME.04.15

Read and interpret decimals up to two decimal places; relate to money and place value comparison.

Assessment

N.ME.04.16

Know that terminating decimals represents fractions whose denominators are 10, 10x10, 10x10x10, etc. (e.g. powers of ten).

 

N.ME.04.17

Locate tenths and hundredths on a number line.

 

N.ME.04.18

Read, write, interpret, and compare decimals up to two decimal places.

Assessment

N.MR.04.19

Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths.

 

Understand fractions

 

 

N.ME.04.20

Understand fractions as parts of a set of objects

Assessment

N.MR.04.21

Explain why equivalent fractions are equal, using models such as fraction strips or the number line for fractions with denominators of 12 or less, or equal to 100.

 

N.MR.04.22

Locate fractions with denominators of 12 or less on the number line; include mixed numbers.

 

N.MR.04.23

Understand the relationships among halves, fourths, and eighths, and among thirds, sixths, and twelfths.

 

N.ME.04.24

Know that fractions of the form m/ n (where m is greater than n, are greater than 1, and are called improper fractions); locate improper fractions on the number line.

 

N.MR.04.25

Write improper fractions as mixed numbers, and understand that a mixed number represents the number of wholes and the part of a whole remaining. (e.g. 5/4 = 1 + 1 / 4= 1 1 / 4)

 

N.MR.04.26

Compare and order up to three fractions with denominators 2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed numbers.

 

Add and subtract fractions

 

 

N.MR.04.27

Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other. (e.g. 1/12 + 5/12 = 6/12; 1/6 + 5/12 = 7/12; 3/10-23/100 = 7/100)

 

N.MR.04.28

Solve contextual problems involving sums and difference for fractions where one denominator is a multiple of the other (denominators 2 through 12, and 100).

 

N.MR.04.29

Find the value of an unknown in equations such as 1/ 8 + X = 5/8 or 3 / 4 - Y = 1 / 2.

 

Multiply fractions by

whole numbers

 

N.MR.04.30

Multiply fractions by whole numbers, using repeated addition and area or array models.

 

Add and subtract

decimal fractions

 

N.MR.04.31

For problems that use addition and subtraction of decimals through hundredths, represent with mathematical statements and solve.

 

N.FL.04.32

Add and subtract decimals through hundredths.

 

Multiply and divide

decimal fractions

 

N.FL.04.33

Multiply and divide decimals up to two decimal places by a one-digit whole number where the result is a terminating decimal. (e.g. 0.42 div. 3 = 0.14, but not 5  / 3 = 1.6 repeating)

 

Estimate

 

 

N.FL.04.34

Estimate the answers to calculations involving addition, subtraction, or multiplication.

 

N.FL.04.35

Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations.

 

N.FL.04.36

Make appropriate estimations and calculations fluently with whole numbers using mental math strategies.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

ALGEBRA

 

There are no 4th Grade GLCEs

in the algebra strand.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

MEASUREMENT

 

Measure using common

tools and appropriate units

 

M.UN.04.01

Measure using common tools and select appropriate units of measure.

 

M.PS.04.02

Give answers to a reasonable degree of precision in the context of a given problem.

 

M.UN.04.03

Measure and compare integer temperatures in degrees.

 

M.TE.04.04

Measure surface area of cubes and rectangular prisms by covering and counting area of the faces.

 

Convert measurement units

 

 

M.TE.04.05

Carry out the following conversions from one unit of measure to a larger or smaller unit of measure: meters to centimeters, kilograms to grams, liters to milliliters, hours to minutes, minutes to seconds, years to months, weeks to days, feet to inches, ounces to pounds, (using numbers that involve only simple calculations).

 

Use perimeter and area

formulas

 

M.TE.04.06

Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas.

 

Assessment

M.TE.04.07

Find one dimension of a rectangle given one dimension and its perimeter or area.

 

M.TE.04.08

Find the side of a square given its area or perimeter.

 

M.PS.04.09

Solve contextual problems about perimeter and area of squares and rectangles in compound shapes.

 

Understand right angles

 

 

M.TE.04.10

Identify right angles and compare angles to right angles.

 

Problem-solving

 

 

M.PS.04.11

Solve contextual problems about surface area.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

GEOMETRY

 

Understand perpendicular,

parallel, and intersecting lines

 

G.GS.04.01

Identify and draw perpendicular, parallel, and intersecting lines using a ruler and a tool or object with a square (90o) corner

 

Identify basic geometric

shapes and their components, and solve problems

 

G.GS.04.02

Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems.

 

G.SR.04.03

Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; discover the shape of their faces.

 

Recognize symmetry and

Transformation

 

G.TR.04.04

Recognize plane figures that have line symmetry.

 

G.TR.04.05

Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

DATA AND PROBABILITY

 

Represent and solve

problems for given data

 

D.RE.04.01

Construct tables and bar graphs from given data.

 

D.RE.04.02

Order a given set of data, find the median, and specify the range of values.

 

D.RE.04.03

Solve problems using data presented in tables and bar graphs, e.g. compare data represented in two bar graphs and read bar graphs showing two data sets.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

 

 

 

 

 

 

 

 

 

 

Welcome

4th Grade Resources

5th Grade Resources

District

Website

Links

Allendale

Home Page

4th Grade GLCEs

5th Grade GLCEs

State

Website

E-Mail

Mr. Maffesoli

 

 

 

 

5th Grade Math Resources

 

 

Click here to access 5th grade resources for Everyday Mathematics.

 

 

Click on a red-lettered strand to view all of the GLCEs for the named strand.

 

Strand 1

Number and Operations

Strand 2

Algebra

Strand 3

Measurement

Strand 4

Geometry

Strand 5

Data and Probability

(ME) Meaning, notations, place value, and comparisons

(PA) Patterns, relations, functions, and change

(UN) Units and systems of measurement

(GS) Geometric shape, properties, and mathematical arguments

(RE) Data representation

(MR) Number relationships and meaning of operations

(RP) Representation

(TE) Techniques and formulas for measurement

(LO) Location and spatial relationships

(AN) Data interpretation and analysis

(FL) Fluency with operations with estimation

(RP) Formulas, expressions, equations, and inequalities

(PS) Problem solving involving measurement

(SR) Spatial reasoning and geometric modeling

(PR) Probability

 

 

 

(TR) Transformation and symmetry

 

 

 

5th Grade Math GLCEs

 

The assessments that appear within this website can be downloaded by school personnel. View them by first opening the Everyday Mathematics Tester program which is accessible using the drives that appear once Novell Login has occurred. Then simply open the desired file. These files will all have a (.wss) extension.

 

 

 

NUMBERS AND OPERATIONS

 

Understand division of

whole numbers

 

N.MR.05.01

Understand the meaning of division of whole numbers, with and without remainders; relate division to fractions and to repeated subtraction.

Assessment

N.MR.05.02

Relate division of whole numbers with remainders to the form a=bq+r (e.g. 34 div. 5=6 r4) so 5*6+4=34; note remainder(4) is less than the divisor(5).

Assessment

N.MR.05.03

Write mathematical statements involving division for given situations.

Assessment

Multiply and divide

whole numbers

 

N.FL.05.04

Multiply a multi-digit number by a two-digit number; recognize and be able to explain common computational errors such as not accounting for place value.

Create an Assessment

N.FL.05.05

Solve applied problems involving multiplication and division of whole numbers.

Assessment

N.FL.05.06

Divide fluently up to a four-digit number by a two-digit number.

Create an Assessment

Find prime factorizations

of whole numbers

 

N.MR.05.07

Find the prime factorization of numbers from 2 through 50, express in exponential notation; (e.g. 24=23 x 31) and understand that every whole number greater than 1 is either prime or can be expressed as a product of primes.

Assessment

Understand meaning of

decimal fractions and percentages

 

N.ME.05.08

Understand the relative magnitude of ones, tenths, and hundredths and the relationship of each place value to the place to its right(e.g. one is 10 tenths, one tenth is 10 hundredths).

Assessment

N.ME.05.09

Understand percentages as parts out of 100, use % notation, and express a part of a whole as a percentage.

Assessment

Understand fractions as

division statements; Find equivalent fractions

 

N.ME.05.10

Understand a fraction as a statement of division (e.g. 2 div. 3=2/3) using simple fractions and pictures to represent.

 

N.ME.05.11

Given two fractions, (e.g. 1/2 and 1/4) express them as fractions with a common denominator, but not necessarily a least common denominator (e.g. 1/2 = 4/8 and 3/4= 6/8); use denominators less than 12 or factors of 100.

Assessment

Multiply and divide

Fractions

 

N.ME.05.12

Find the product of two unit fractions with small denominators using an area model.

Multiply Fractions Online

N.MR.05.13

Divide a fraction by a whole number and a whole number by a fraction using simple unit fractions.

Assessment

Add and subtract

fractions using common denominators

 

N.FL.05.14

Add and subtract fractions with unlike denominators through 12 and/or 100, using the common denominator that is the product of the denominators of the 2 fractions (e.g. 3/8 + 7/10: use 80 as the common denominator)

Assessment

Multiply and divide

by powers of ten

 

N.MR.05.15

Multiply a whole number by powers of 10: 0.01, 0.1, 1, 10, 100, 1000 and identify patterns.

Assessment

N.FL.05.16

Divide numbers by 10s, 100s, and 1000s, using mental strategies.

Assessment

N.MR.05.17

Multiply one-digit whole numbers by decimals up to two decimal places.

Assessment

Solve applied problems

with fractions

 

N.FL.05.18

Use mathematical statements to represent an applied situation involving addition and subtraction of fractions.

 

N.MR.05.19

Solve contextual problems that involve finding sums and differences of fractions with unlike denominators using knowledge of equivalent fractions.

 

N.FL.05.20

Solve applied problems involving fractions and decimals; include rounding of answers and checking reasonableness.

 

N.MR.05.21

Solve for the unknown in equations such as

1/4 + x = 7/12

Assessment

Express, interpret, and

use ratios; Find equivalencies

 

N.MR.05.22

Express fractions and decimals as percentages and vice versa.

Assessment

N.ME.05.23

Express ratios in several ways given applied situations (e.g. 3 cups to 5 people, 3:5, 3/5); recognize and find equivalent ratios.

Assessment

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

ALGEBRA

 

There are no 5th Grade

GLCEs in the algebra strand.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

MEASUREMENT

 

Know, and convert among,

measurement units within a given system

 

M.UN.05.01

Recognize the equivalence of 1 liter, 1000 ml and 1,000 cm3 and include conversions among liters, milliliters, and cubic centimeters.

 

M.UN.05.02

Know the units of measure of volume; cm3, m3, in3, ft3, y3, and use their abbreviations.

Assessment

M.UN.05.03

Compare the relative sizes of one cubic inch to one cubic foot, and one cubic centimeter to one cubic meter.

 

M.UN.05.04

Convert measurements of length, weight, areas, volume, and time within a given system using easily manipulated numbers.

 

Find areas of geometric

shapes using formulas

 

M.PS.05.05

Represent relationships between areas of rectangles, triangles, and parallelograms using models.

Assessment

M.TE.05.06

Understand and know how to use the area formula of a triangle: A=1/2 bh (where b is length of the base and h is the height) and represent using models and manipulatives.

 

Assessment

M.TE.05.07

Understand and know how to use the area formula for a parallelogram: A=bh, and represent using models and manipulatives.

 

Assessment

Understand the concept

of volume

 

M.TE.05.08

Build solids with unit cubes and state their volumes.

 

M.TE.05.09

Use filling(unit cubes or liquid), and counting or measuring to find the volume of a cube and rectangular prism.

 

M.PS.05.10

Solve applied problems about the volumes of rectangular prisms using multiplication and division and using the appropriate units.

 

Assessment

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

GEOMETRY

 

Know the meaning of

angles, and solve problems

 

G.TR.05.01

Associate an angle with a certain amount of turning; know that angles are measured in degrees; understand that 900, 1800, 2700, and 3600 are associated, respectively, with 1/4, 1/2, 3/4, and full turns.

Assessment

G.GS.05.02

Measure angles with a protractor, and classify them as acute, right, obtuse, or straight.

Assessment

G.GS.05.03

Identify and name angles on a straight line and vertical angles.

 

G.GS.05.04

Find unknown angles in problems involving angles on a straight line, angles surrounding a point and vertical angles.

Assessment

G.GS.05.05

Know that angles on a straight line add up to 1800 and angles surrounding a point add up to 3600; justify informally by surrounding a point with angles.

 

Assessment

G.GS.05.06

Understand why the sum of the interior angles of a triangle is 1800 and the sum of the interior angles of a quadrilateral is 3600, and use these properties to solve problems.

 

Assessment

Solve problems about

geometric shapes

 

G.GS.05.07

Find unknown angles using the properties of triangles, including right, isosceles, and equilateral triangles; of parallelograms, including rectangles and rhombuses; and trapezoids.

 

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

DATA AND PROBABILITY

 

Construct and interpret

line graphs

 

D.RE.05.01

Read and interpret line graphs, and solve problems based on line graphs, (e.g. distance-time graphs, and problems with two or three line graphs on same axes, comparing different data).

 

 

D.RE.05.02

Construct line graphs from tables of data; include axis labels and scale.

Create Line Graph Online

Find and interpret

mean and mode for a given set of data

 

D.AN.05.03

Given a set of data, find and interpret the mean(using a concept of fair share) and mode.

Assessment

D.AN.05.04

Solve multi-step problems involving means.

Assessment

Click the links to view other strands

Numbers and Operations-Algebra-Measurement-Geometry-

Data and Probability

 

  

 

  

 

 

 

To access the 2005-2006 version of the home page for Mr. Maffesoli from his 5th grade site, click here.

 

 

Welcome

4th Grade Resources

5th Grade Resources

District

Website

Links

Allendale

Home Page

4th Grade GLCEs

5th Grade GLCEs

State

Website

E-Mail

Mr. Maffesoli

 

Copyright 2006. All rights reserved.