Clayton County Curriculum Guide

Elementary Mathematics

Unit 1              ( 4 ) Grade

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

 

 

 

 

3 days

 

 

 

M4N1 Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system.

M4N1 (a) Identify place value names and places from hundredths through one million. (ones to one million)

 

1.2, 1.4, 2.1, 2.4

 

 

 

 

GADOE 4th Grade Unit:  Place Value and Number Forms:  Number Representations

Millions

Numbers

Numerals

Periods

Place Value

Base Ten

 

2 days

M4N1 Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system.

 

M4N1 (b) Equate a number’s word name, its standard form, and its expanded form.

1.5, 2.2

Performance Task Guide:

“Pricing a Home” pp. 1-4

Standard Form

Expanded Form

Word Form

 

 

1 day

M4N2 Students will understand and apply the concept of rounding numbers.

M4N2 (a) Round numbers to the nearest ten, hundred, or thousand

2.5, 22.2

 

 

 

 

 

 

 

 

 

 

 

 

 

Digit

Round

Estimate


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

2 days

M4N2 Students will understand and apply the concept of rounding numbers.

M4N2 (b) Describe situations in which rounding numbers would be appropriate and determine whether to round to the nearest ten, hundred, or thousand

 

2.5, 3.3, 3.4, 3.8,

Performance Task Guide:

“Figures in Georgia” pp. 5-8

 

2 days

M4N2 Students will understand and apply the concept of rounding numbers.

M4N2 (d) Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers

 

3.3, 22.2

 

Estimate

3 days

 

M4N7 Students will explain and use properties of the four arithmetic operations to solve and check problems.

M4N7 (a) Describe situations in which the four operations may be used and the relationships among them.

3.1, 3.3, 3.5, 3.6, 3.7, 3.8

 

 

PTG: “Supermarket Trip” 

pp. 25-28

Zero Property of Addition

Commutative Property of Addition

 

 

 

 


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

3 days

 

 

M4N7 Students will explain and use properties of the four arithmetic operations to solve and check problems.


M4N7 (b)
Compute using the order of operations, including parentheses.

 

 

 

 

2 days

 

M4N7 Students will explain and use properties of the four arithmetic operations to solve and check problems.

M4N7 (c) Compute using the commutative, associative, and distributive properties.

3.1, 4.1

 

Associative

Commutative

Distributive

Sum

Inverse Operations

Subtrahend

2 days

 

 

 

M4N7 Students will explain and use properties of the four arithmetic operations to solve and check problems.


M4N7 (d) Use mental math and estimation strategies to compute.

 

3.2, 3.3

 

 

 

 


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

2 days

 

M4A1 Students will represent and interpret mathematical relationships in quantitative expressions.

M4A1 (a) Understand and apply patterns and rules to describe relationships and solve problems.

4.3

DOE: “What’s My Rule”?  PTG:  “Using Symbols” pp.49-52

Variable

 

2 days

 

 

 

M4A1 Students will represent and interpret mathematical relationships in quantitative expressions.

M4A1 (b) Represent unknowns using symbols, such as
Ź and ∆.

4.1, 4.4

 

 

 

2 day

M4A1 Students will represent and interpret mathematical relationships in quantitative expressions.

 

M4A1 (c) Write and evaluate mathematical expressions using symbols and different values.

 

 

 

 


Clayton County Curriculum Guide

Elementary Mathematics

Unit 2              ( 4 ) Grade

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

3 days

 

 

M4N7 Students will explain and use properties of the four arithmetic operations to solve and check problems.

M4N7 (a) Describe situations in which the four operations may be used and the relationships among them.

 

4.1, 4.2, 4.3,

GADOE 4th Grade Unit:  What’s for Dinner:  Flyer, Spreadsheet, and Brochure for Family Dining Restaurant

Fact Family

Inverse

 

 

 

 

 

3 days

 

 

 

M4N7 (b) Compute using the order of operations, including parentheses.

5.1

 

Order of Operations

Parentheses

Expression

2 days

 

 

M4N7 (c) Compute using the commutative, associative, and distributive properties.

 

 

 

 

 

 

4.1, 4.7

 

Commutative Property

Property of one

Zero property

Associative Property

Distributive Property

 


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

2 days

 

M4N7 (d) Use mental math and estimation strategies to compute.

 

6.1, 6.2, 11.2, 11.3, 11.6

 

Estimate

 

10 days

 

 

 

 

M4N3 Students will solve problems involving multiplication of 2-3 digit numbers by 1-2 digit numbers.

4.6, 6.1,6.3, 6.4,  6.6, 7.4, 7.5, 7.6

 

 

 

Georgia Performance Task “Daily Activities” pp. 9-12

Product

Quotient

Fact Family

Multiple

Factor

Array

Multiplier

Multiplicand

5 days

 

M4N4 Students will further develop their understanding of division of whole numbers and divide in problem-solving situations without calculators.

M4N4 (a) Know the division facts with understanding and fluency.

 

4.4, 4.5, 4.6, 4.9, 8.5, 8.6, 9.2, 9.3, 9.4, 9.6

 

 

 

 

PTG:  “DVD Library”  pp. 13-16

Division

 

 

 

 

 

 

 


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

 

2 days

 

 

M4N4 Students will further develop their understanding of division of whole numbers and divide in problem-solving situations without calculators.

M4N4 (b) Solve problems involving division by a 2-digit number (including those that generate a remainder).

 

 

 

 

 

8.2, 8.3, 8.4,11.3, 11.4, 11.5, 11.6

PTG:  “DVD Library”  pp. 13-16

 

 

 

 

1 day

 

M4N4 Students will further develop their understanding of division of whole numbers and divide in problem-solving situations without calculators.

M4N4 (c) Understand the relationship between dividend, divisor, quotient, and remainder.

 

 

 

 

 

9.1, 9.2, 9.4, 9.6

 

 

Dividend

Divisor

Quotient

Remainder

 

 


 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

3 days

 

 

M4A1 Students will represent and interpret mathematical relationships in quantitative expressions.

M4A1 (a) Understand and apply patterns and rules to describe relationships and solve problems.

5.5, 5.6, 5.7

 

 

 

2 days

 

 

 

 

 

 

 

M4A1 (b) Represent unknowns using symbols, such as Ź and ∆.

 

5.1

 

 

 

5 days

 

 

 

 

 

 

 

M4A1 (c) Write and evaluate mathematical expressions using symbols and different values.

5.2, 5.3, 5.4

Performance Task Guide: “Using Symbols”  pp. 49-52

 

 

 

 

 

 

 

 

 

 

 

 

Clayton County Curriculum Guide

Elementary Mathematics

Unit 3              ( 4 ) Grade

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

3 days

 

 

 

 

 

M4N1 Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system.

M4N1 (a) Identify place value names and places from hundredths through one million.(hundredths through hundreds)

M4N1 (b) Equate a number’s word name, its standard form, and its expanded form.

 

21.1, 21.2, 21.3

 

DOE:

“Bridging Big Numbers”

“Ticket Master”

 

Performance Task Guide:

“Pricing a Home” pp.1-4.

Base Ten

Tenths

Hundredths

Standard Form

Expanded Form

Word Form

Decimal

 

 

2 days

 

 

 

 

M4N2 Students will understand and apply the concept of rounding numbers.

M4N2 (c) Understand the meaning of rounding a decimal to the nearest whole number.

M4N2 (d) Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers.

 

22.1, 22.2

 

DOE:

“Bridging Big Numbers”

“Finding My Way Home”

 

Performance Task Guide:

“Population Figures in Georgia” pp.5-8.

Rounding

Estimate

Whole Number

Decimal

 

 

9 days

 

 

 

 

 

M4N6 Students will further develop their understanding of the meaning of common fractions and use them in computations.


M4N6 (a) Understand representations of simple equivalent fractions.

 

19.2, 19.3, 19.4, 19.7

20.1, 20.2

21.3, 21.4

 

 

 

 

Fraction

Equivalent

Mixed Number

Numerator

Denominator

Improper

Common Denominator

 

 

 

 

 

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

9 days

 

 

 

 

 

M4N6 (b) Add and subtract fractions and mixed numbers with common denominators. (Denominators should not exceed twelve.)

 

19.6

 

 

 

9 days

 

 

 

 

M4N6 (c) Convert and use mixed numbers and improper fractions interchangeably.

20.3, 20.5, 20.8, 21.5

Performance Task Guide: 

“On the Trail”  pp. 21-24

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

10 days

 

 

 

M4N5 Students will further develop their understanding of the meaning of decimals and use them in computations.
M4N5 (a) Understand decimals are a part of the base-ten system.

M4N5 (b) Understand the relative size of numbers and order two digit decimals.

M4N5 (c) Add and subtract both one and two digit decimals.

M4N5 (d) Model multiplication and division of decimals by whole numbers.

M4N5 (e) Multiply and divide both one and two digit decimals by whole numbers.

 

 

 

 

21.6, 21.7, 22.3, 22.4

 

 

 

 

23.1, 23.2, 23.3,

 

 

 

22.5, 23.4, 23.5

 

Performance Task Guide: “The Relay Race” pp. 17-20.

Base Ten

Order

Compare

Greater Than

Less Than

Equal To

Tenths

Hundredths

Decimal

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Clayton County Curriculum Guide

Elementary Mathematics

Unit 4              ( 4 ) Grade

 

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

 

10 days

 

 

 

 

M4G1 Students will define and identify the characteristics of geometric figures through examination and construction.

M4G1 (a) Examine and compare angles in order to classify and identify triangles by their angles.

M4G1 (b) Describe parallel and perpendicular lines in plane geometric figures.

M4G1 (c) Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi).

M4G1 (d) Compare and contrast the relationships among quadrilaterals.

 

 

 

 

 

16.1, 16.2, 16.3, 16.4, 16.5, 16.6

 

DOE:

 “Quadrilateral Challenge”

 

Performance Task Guide:

“Building with Geometry”

pp. 37-40.

Angles

Compare

Classify

Triangle

Parallel

Perpendicular

Plane

Geometric

Figure

Quadrilateral

Parallelogram

Square

Rectangle

Trapezoid

Rhombus

 

9 days

 

 

M4G2 Students will understand fundamental solid figures.

M4G2 (a) Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices.

M4G2 (b) Describe parallel and perpendicular lines and planes in connection with rectangular prisms.

M4G2 (c) Construct/collect models for solid geometric figures (cubes, prisms, cylinders, etc.)

EXPRESSIONS

Mini Unit E

E1, E.2, E.3

 

 

 

 

 

18.5

Expressions Unit E Performance Assessment

 

Performance Task Guide:

“The Box and the Crate”

pp. 41-44.

 

Geometry

Solid

Cube

Rectangular Prism

Faces

Edges

Vertices

Parallel

Perpendicular

Cubes

Prisms

Cylinder

 

5 days

 

 

 

 

 

M4G3 Students will use the coordinate system.

M4G3 (a) Understand and apply ordered pairs in the first quadrant of the coordinate system.

M4G3 (b) Locate a point in the first quadrant in the coordinate plane and name the ordered pair.

M4G3 (c) Graph ordered pairs in the first quadrant.

 

24.1, 24.2, 24.3,

 

Georgia Performance Task

“Mapping Middleville” pp. 45-48.

 

http://www.mathsis

fun.com/coordinate_alien.html

 

 

Geometry

Coordinate

Quadrant

Ordered Pair

Point

X Axis

Y Axis

Axes

Origine

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Clayton County Curriculum Guide

Elementary Mathematics

Unit 5             ( 4 ) Grade

 

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

10 days

 

 

 

 

 

M4M2 Students will understand the concept of angle and how to measure angles.

M4M2 (a) Use tools, such as a protractor or angle ruler, and other methods, such as paper folding or drawing a diagonal in a square, to measure angles.

M4M2 (b) Understand the meaning and measure of a half rotation (180°) and a full rotation (360°).

 

Lesson 16.3, 17.2

 

 

GADOE 4th Grade Unit:  Don’t Let Angles Floor You

 

Performance Task Guide:

“Measuring Angles” pp.33-36.

Angle

Protractor

Angle Ruler

Acute Angle

Right Angle

Obtuse Angle

Degrees

Half-Rotation

Full Rotation

 

9 days

 

 

M4M1 Students will understand the concept of weight and how to measure weight.

M4M1 (a) Use standard and metric units to measure the weight of objects.

M4M1 (b) Know units used to measure weight (gram, kilogram, ounce, pound, and ton).

M4M1 (c) Compare one unit to another within a single system of measurement.

 

 

 

 

 

 

 

 

12.4, 12.9, 12.5

 

PTG:  “Measuring  Weight” pp. 29-32

Weight

Standard

(US Customary)

Metric

Gram

Kilogram

Ounce

Pound

Ton

Compare

Convert

 

 

 

 

8 days

 

 

 

M4D1 Students will gather, organize, and display data according to the situation and will compare related features.

M4D1 (a) Represent data in bar, line, and pictographs.

M4D1 (b) Investigate the features and tendencies of graphs.

M4D1 (c) Compare different graphical representations for a given set of data.

M4D1 (d) Identify missing information and duplications in data.

15.1, 15.3, 15.4, 15.5

Performance Task Guide: “Comics Collections”

pp. 53-56.

Tally chart

Fraction double Bar graph

Key

Interval

Line graph

Pictograph

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Clayton County Curriculum Guide

Elementary Mathematics

Unit 6            ( 4 ) Grade

 

Teaching

Time

Georgia Performance

Standards Addressed

Resources

Assessment/Performance Task

Vocabulary

Focus

 

 

 

 

 

5 days

M5N1 Students will further develop their understanding of whole numbers.

M5N1 (a) Classify the set of counting numbers into subsets with distinguishing characteristics (odd/even, prime/composite).

M5N1 (b) Find multiples and factors.

M5N1 (c) Analyze and use divisibility rules.

10.1, 10.2,10.3

 

GADOE 5th Grade Unit Whole Number Concepts-Performance Task Number Concept Game

Factor

Multiple

Odd

Even

Prime numbers

Composite numbers

Divisibility

 

5 days

M5N2 Students will further develop their under-standing of decimal and fraction as part of the base ten.

 

M5N1 (a)  Understand place value

21.6, 21.7, 22.1

 

 

Period

Base Ten

Exponent

Power of ten

Decimal

 

3 days

M5N3 Students will further develop their understanding of the meaning of multiplication and division with decimal fractions and use them.

 

23.1, 23.3

 

Decimal

Product

Multiplication

Division

Decimal Fraction