Scott Foresman-Addison Wesley Mathematics Grade 4 Mathematics

19 Pages·2009·0.1 MB·English

Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Scott Foresman-Addison Wesley Mathematics
Grade 4
Mathematics Curriculum Guides

Wisconsin MPS Wisconsin Assessment
Mathematics Learning Target Descriptors for Mathematics Curriculum
Standard (For Beginning Grade 5)

A. Note: Mathematical processes 1) Reasoning: Use reasoning and logic to:
Mathematical need to be embedded in all • Perceive patterns • Identify relationships
Processes mathematical strands • Formulate questions • Pose problems
throughout the school year. • Make conjectures • Justify strategies
r Math processes are assessed on • Test reasonableness of results
a
e the WKCE-CRT and reported
Y
e as a separate proficiency area. 2) Communication: Communicate mathematical ideas and reasoning using
h
T For example, students are the vocabulary of mathematics in a variety of ways (e.g., using words,
t asked to provide written numbers, symbols, pictures, charts, tables, diagrams, graphs, and models).
u
ho justifications and explanations,
g
u pose problems, and represent 3) Connections: Connect mathematics to the real world as well as within
o
r concepts. mathematics.
h
T
4) Representations: Create and use representations to organize, record, and
communicate mathematical ideas.

5) Problem Solving: Solve and analyze routine and non-routine problems.

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 1
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Time Curricular Connections MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections
Units/Lessons District Model

Chapter 1 Number Operations and Number Operations and Relationship MPS Number
Place Value and Money Relationship #1 Operations and
Use strategies fluently to make B.a:1 Recognize and apply place-value concepts to Relationships CABS #1,
1.1 Numbers in the estimates, solve, and pose real- whole numbers less than (10,000,000) (1.1, 1.7) #6

Thousands (NO&R) word problems (e .g .single
September
1.2 Understanding a n d m u l t i - s t e p ) for all B.a:2 Read write, and represent numbers using words, MPS Algebraic

Greater Numbers operations, to compare and numerals, pictures (base- ten blocks), number lines, Relationships CABS #1
19
(NO&R) rename numbers, and to find arrays expanded forms(243=200+40+ 3), and symbolic
teaching 1.3 Place Value Patterns factors and multiples (1.1, 1.2, reasoning e.g. 243=250-7 (1.2, 1.3, 1.4, 1.12, 2.1, 2.2.,
days (NO&R, AR) 1.3, 1.4, 1.5, 1.6, 1.7,1.8,1.10, 2.5)
1.4 Problem Solving 1.11, 1.12, 1.14, 2.1, 2.2, 2.3,
Skills (NO&R, Prob/Stats, 2.4, 2.5) B.a:3 Compare and order numbers less than 10,000

AR) represented in numbers, arrays, symbols (< ,>,=) and
1.5 Comparing and Number Operations and words (1.5, 1.6)
Ordering Numbers Relationship #2
(NO&R) Represent commonly used B.a:5 Read, write, represent, count, compare, and order,
1.6 Rounding Numbers fractions (e.g., pictures, and make change using a collection of coins and bills
(NO&R) number lines) and decimals equal to and less than $20.00 (1.9, 1.10, 1.11)

1.7 The Size of Numbers (i.e., money) and use informal
(NO&R) reasoning to rename, compare, B.b:10 Use all operations in everyday situations to solve
1.8 Problem Solving add, and subtract them with single or multi-step word problems (1.8)
Skills (NO&R) and without context
1.9 Using Money to (1.9,1.10,1.11, 1.12, 1.13) B.b:11 Solve three-and four digit addition and
Understand Decimals subtraction with regrouping; multiplication of two- digit
Statistics and Probability #7
(NO&R) by one-digit numbers; division with single-digit divisors
Design and conduct data
1.10 Counting Money and two-digit dividends and with two-step or mixed
(NO&R) investigations, display and operation problems with single-digit numbers. (2.1 ,2.2,
describe data, summarize data
1.11 Making Change 2.3, 2.4, 2.5)
sets (e.g., range, median, and
(NO&R)
mode), and draw conclusions
1.12 More About B.b:12 Add and subtract decimals in the context of
(1.4, 1.13, 1.14)
Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 2
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Decimals (NO&R) money (1.9, 1.11, 2.5)
1.13 Problem Solving Algebraic Relationships #9
Skills (NO&R, Represent and extend patterns B.b:16 Determine reasonableness of answers. (2.1, 2.2,

Prob/Stats) and describe rules for 2.3, 2.4)
1.14 Problem Solving functional relationships (1.3,
Applications (NO&R, 1.4)
Prob/Stats)

September
Chapter 2

Adding and Subtracting Statistics and Probability
19 Teaching
Whole Numbers and
days
Money E.a:5 Read and interpret information from single bar

graphs, line plots, picture graphs, and Venn diagrams
2.1 Mental Math: Adding (1.4, 1.13, 1.14)
(NO&R)
2.2 Mental Math: Algebraic Relationships
Subtracting (NO&R)
2.3 Estimating Sums and F.a:1 Recognize, extend, describe, create, and

Differences(NO&R) replicate a variety of patters including attribute,
2.4 Overestimates and numeric, and geometric patterns (1.3)
Underestimates(NO&R)
2.5 Adding Whole
Numbers and Money
(NO&R)

Adjustments m ade to the curriculum guide r eflect feedback from teachers rega rding the pacing written previously. Please note that continuin g at this pace

could inhibit completion of the math program as it is written. The committee recommends teachers to consider combining similar mathematical ideas. This

myeaayr .a ssist stud ents in developing a deeper c onceptual understanding of math ematics as well as help to improve the current pacing as outlined for the school

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 3
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

October
Chapter 2 Number Operations and Number Operations and Relationship
20 Adding and Subtracting Relationship #1
Whole Numbers and Use strategies fluently to make B.a:2 Read write, and represent numbers using words,
teaching
Money estimates, solve, and pose real- numerals, pictures (base- ten blocks), number lines, arrays
days
word problems (e .g .single and expanded forms(243=200+40+ 3), and symbolic
2.6 Column Addition multi-step) for all operations, to reasoning e.g. 243=250-7 (2.6, 2.7, 2.8)
2.7 Subtracting Whole compare and rename numbers,
Numbers and Money and to find factors and multiples B.a:4 Use basic facts to determine the first ten multiples
(NO&R) (2.6,2.7,2.8,3.1, 3.2, 3.3, 3.4, 3.6, of 2-10 and determine factors for numbers up to 100. MPS Algebraic

2.8 Choose a 3.8, 3.9, 3.10, 3.11) Recognize the divisibility potential of numbers (divisors Relationships CABS #7,

Computation Method of 2, 5, 10,25).Count using whole numbers less than #8
(NO&R) Algebraic Relationships #9 10,000 and by any number 1-12 and “friendly numbers”
2.9 Problem Solving Represent and extend patterns through 100 (ex. 20, 25, etc.) (3.1, 3.2, 3.4, 3.6, 3.8) MPS Number
Strategy Look for a and describe rules for Operations and
Pattern (AR) functional relationships (2.9, B.b:10 Use all operations in everyday situations Relationships CAB #2

2.10 Algebra-Translating 3.2, 3.5) to solve single or multi-step word problems (3.11)

Words to Expressions
(AR) Algebraic Relationships #10 B.b:11 Solve three-and four digit addition and
2.11 Algebra Matching Use symbols to represent subtraction with regrouping; multiplication of two- digit
Words and Number (AR) problem situations and use by one-digit numbers; division with single-digit divisors
2.12 Algebra Evaluating properties and order of and two-digit dividends and with two-step or mixed

Expressions (AR) operations to solve equations operation problems with single-digit numbers. (2.6, 2.7,

2.13 Algebra Solving involving all operations (2.10, 2.8)
Addition and Subtraction 2.11, 2.12, 2.13, 2.14, 3.7)
Equations (AR) B.b:12 Add and subtract decimals in the context of
2.14 Problem Solving money (2.6, 2.7)
Applications (AR)

B.b:13 Solve problem using basic multiplication

Chapter 3 and division facts (3.1, 3.3, 3.4, 3.6, 3..8, 3.8, 3.9, 3.10)
Multiplication and
Division Concepts and Algebraic Relationship
Facts
F.a:1 Recognize, extend, describe, create and

3.1 Meanings for replicate a variety of patterns including attribute,

Multiplication (NO&R) numeric, and geometric patterns (2.9, 3.2)
3.2 Patterns in
Multiplication by 0,1,2,5, F.a:2 Represent patterns and relationship with
and 9 (NO&R, AR) pictures, tables, and charts. (2.9, 3.5)

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 4
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Chapter 3 Algebraic Relationship
Multiplication and
Division Concepts and F.b:5 Solve simple one-step open sentences
October
Facts involving all operations in context (2.11, 3.13)
20 teaching
3.3 Using Known Facts to
days
Find Unknown Facts Algebraic Relationship

(NO&R, A)

3.4 Multiplying by 10,11, F.b:6 Demonstrate a basic understanding of
and 12 (NO&R) equality and inequality using symbol (<, >,=)
3.5 Problem-Solving with all operations (2.13, 2.14)
Strategy, Make a Table
(AR) F.b:7 Solve simple, one-step open sentences

3.6 Meaning for Division including missing factor in problems with and

(NO&R) without context e.g., “box” or letter variable and
3.7 Relating whole number coefficients (2.12)
Multiplication and
Division (AR) F.b:9 Represent problem situations with one-step
3.8 Division Facts equations or expressions using one of the four

(NO&R) operations (2.10, 2.11, 2.14)

3.9 Special Quotients
(NO&R) F.c:11 Use the inverse relationship of division and
3.10 Multiplication and multiplication with single-digit, whole numbers (3.7)
Division Stories (NO&R)
3.11 Problem-Solving

Skill, Multiple-Step

Problems (NO&R)

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 5
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

November Chapter 3 Number Operations and Number Operations and Relationships MPS Measurement
Multiplication and Relationships #1 CABS #4
20 teaching Division Concepts and Use strategies fluently to make B.b:13 Solve problem using basic multiplication
days Facts estimates, solve, and pose real- and division facts. (3.15)
word problems (e .g .single
3.12 Algebra-Writing and and multi-step) for all Algebraic Relationships MPS Algebraic

Evaluating Expressions operations, to compare and Relationships CABS #1

(AR) rename numbers, and to find F.a:3 Describe a rule that explains a functional
3.13 Algebra- Find a Rule factors and multiples. (3.15) relationship or pattern using addition, subtraction,
(AR) or multiplication rules. (3.13)
3.14 Algebra- Solving
Multiplication and Algebraic Relationships #9 F.b:7 Solve simple, one-step open sentences

Division Equations (AR) Represent and extend patterns including missing factor in problems with and

3.15 Problem Solving- and describe rules for without context e.g., “box” or letter variable and
Applications, Sleeping functional relationships. (3.13) whole number coefficients. (3.12)
Animals (NO&R)
Algebraic Relationships # 10 F.b:8 Represent problem situations with one-step
Use symbols to represent equations involving multiplication and division

problem situations and use with simple open sentences. (3.14)

properties and order of
operations to solve equations
involving all operations. (3.12,
3.14)

Note: Use your

professional judgment to
combine big ideas

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 6
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

November Chapter 4 Geometry #5 Measurement MPS Number
Time, Data, and Graphs Use coordinate systems to D.a:1 Identify appropriate units to measure length, Operations and
specify and plot locations, liquid capacity, volume, weight/mass, time, and Relationships CABS #1,
20
4.1 Telling Time (M) represent simple figures, and temperature. Units include: inches, feet, yards, #2
teaching
4.2 Units of Time identify relationships between miles, millimeters, centimeters, meters, kilometers,
days (Activity) (M) objects. (4.9, 4.10) ounces, cups, quarts, gallons, liters, seconds,
4.3 Elapsed time (M) minutes, hours, days, months, years, ounces,
4.4 Problem solving Measurement Target #6 pounds, grams, kilograms, and degrees
skills: Writing to compare Identify and compare Fahrenheit/Celsius. (4.2)

(M) measurable attributes, estimate
4.5 Calendars (M) and measure, and make D.b:6 Translate time on an analog clock to digital MPS Measurement
4.6 Pictographs conversion (e.g., area, clock and vice-versa. (4.1) CABS # 4, 5
(Stats/Prob) perimeter, temperature) in both
D.b:7 Determine and compare elapsed time in problem-
4.7 Line Plots (Stats/Prob) customary and metric systems,
solving situations (4.3)
4.8 Bar Graphs and solve problems with

(Stas/Prob) elapsed time. (4.1, 4.2, 4.3,
Geometry
4.9 Graphing Ordered 4.4, 4.5, 4.15)
Pairs (AR, G) C.c:8 Use simple 2-dimensional coordinate systems to
identify or plot locations on maps and to represent points and
4.10 Line Graphs Statistics and Probability #7
simple figures with coordinates using letters and numbers
(Stats/Prob, AR, G) Design and conduct data
(e.g., (E, 3). (4.9, 4.10)
4.11 Make a Graph investigations, display and

(Stats/Prob) describe data, summarize data MPS Geometry CABS
Measurement
4.12 Median, Mode, sets (e.g., range, median, and # 8
Range (Stats/Prob) mode), and draw conclusions. D.b:7 Determine and compare elapsed time in problem-
solving situations. (4.4, 4.5, 4.15)
4.13 Data from Surveys (4.6, 4.7, 4.8, 4,10, 4.11, 4.12,

(Stats/Prob) 4.13, 4.14, 4.15)
Statistics and Probability
4.14 Misleading Graphs MPS Statistics and
E.a:2 Collect, organize, and display data in appropriate
(Stats/Prob) Algebraic Relationships #9 Probability CABS # 3
graphs or charts. (4.6, 4.7, 4.8, 4,10, 4.11, 4.12, 4.13, 4.14,
4.15 Tsunamis (M, Represent and extend patterns
Stats/Prob) and describe rules for 4.15)

functional relationships. (4.9,
E.a:3 Draw reasonable conclusions based on contextual
4.10) data. (4.6, 4.7, 4.8, 4,10, 4.11, 4.12, 4.13, 4.14, 4.15)

E.a:4 Use data to predict outcomes or trends from graph or

table. (4.6, 4.7, 4.8, 4,10, 4.11, 4.12, 4.13, 4.14, 4.15)
Note: Use your
professional judgment to E.a:5 Read and interpret information from single bar
combine big ideas graphs, line plots, picture graphs, and Venn diagrams. (4.6,
4.7, 4.8, 4,10, 4.11, 4.12, 4.13, 4.14, 4.15)

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 7
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

December Statistics and Probability
15
E.a:6 Describe a given set of data of seven items/numbers
teaching
or fewer using the terms range, mode, and median in
days
problems with and without context (4.6, 4.7, 4.8, 4,10, 4.11,
4.12, 4.13, 4.14, 4.15)

Algebric Relationships
F.a:2 Represent patterns and relationship with pictures,

tables, and charts (4.9, 4.10)

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 8
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Chapter 5 Number Operations and Number Operations and Relationships MPS Number
January Multiplying by One- Relationships #1 B.a:4 Use basic facts to determine the first ten multiples of Operations and
Digit Numbers Use strategies fluently to make 2-10 and determine factors for numbers up to 100. Relationships CABS
15
5.1 Multiplying by estimates, solve, and pose real- Recognize the divisibility potential of numbers (divisors of # 3, 5, 7
teaching
Multiples of 10, 100, or word problems (e .g .single 2, 5, 10,25).Count using whole numbers less than 10,000 and
days 1000 (N&O) and multi-step) for all by any number 1-12 and “friendly numbers “through 100
5.2 Estimating Products operations, to compare and (ex. 20, 25, etc.) (5.1, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.11,
(N&O) rename numbers, and to find 5.12)
5.3 Mental Math (N&O) factors and multiples. B.b:11 Solve three-and four digit addition and subtraction

5.4 Using Arrays to (5.1, 5.2, 5.3, 5.4, 5.5, 5.6, with regrouping; multiplication of two- digit by one-digit

Multiply (N&O) 5.7, 5.8, 5.9, 5.11, 5.12) numbers; division with single-digit divisors and two-digit
5.5 Multiplying Two- dividends and with two-step or mixed operation problems
Digit and One-Digit Algebraic Relationships # 10 with single-digit numbers. (5.5, 5.6, 5.8, 5.9, 5.10, 5.11,
Numbers (N&O) Use symbols to represent 5.12)
5.6 Multiplying Three- problem situations and use

Digit and One-Digit properties and order of B.b:13 Solve problem using basic multiplication

Numbers (N&O) operations to solve equations and division facts. (5.7, 5.11)
5.7 Problem-Solving involving all operations.
Strategy: Try, Check, and (5.10) B.b:15 Estimate: Multiplication of two-digit by one-digit
Revise (N&O) problems, addition and subtraction of decimals using money,
5.8 Choose a Computation and division in context. (5.2)

Method (N&O)

5.9 Multiplying Money Algebraic Relationships
(N&O) F.c: 10 Use the commutative property of multiplication with
5.10 Algebra Multiplying positive single digits. (5.10)
(A R)
5.11 Problem Solving

Skill: Choose an

Operation (N&O)
5.12 Problem Solving
Application: Jumbo Jet
(N&O)

Note: Use your
professional judgment to
combine big ideas.

Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 9
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
Milwaukee Public Schools Curriculum Guide-Grade 4 Scott Foresman-Addison Wesley Mathematics

Chapter 6 Number Operations and Number Operations and Relationships
Multiplying by Two- Relationships #1 B.a:4 Use basic facts to determine the first ten multiples
Digit Numbers Use strategies fluently to make of 2-10 and determine factors for numbers up to 100.

estimates, solve, and pose real- Recognize the divisibility potential of numbers (divisors of
January/
6.1 Multiplying Multiples word problems (e .g .single 2, 5, 10,25).Count using whole numbers less than 10,000
February
of Ten (NO&R) and multi-step) for all and by any number 1-12 and “friendly numbers “through

6.2 Estimating Products operations, to compare and 100 (ex. 20, 25, etc.) (6.1, 6.2, 7.1, 7.2, 7.3, 7.4, 7.5, 7.6,

(NO&R) rename numbers, and to find 7.7, 7.8, 7.9, 7.10, 7.11)
20 teaching
6.3 Using Array to factors and multiples. (6.1, 6.2,
days Multiply (NO&R) (AR) 6.3, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10, B.b:10 Use all operations in everyday situations to solve
6.4 Problem Solving- 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, single or multi-step word problems (6.7, 6.10)
Make an Organized List 7.8, 7.9, 7.10, 7.11)
B.b:11 Solve three-and four digit addition and subtraction
(Stats/Prob)
with regrouping; multiplication of two- digit by one-digit
6.5 Multiply Two-Digit Number Operations and
numbers; division with single-digit divisors and two-digit
Numbers (NO&R) Relationships #2
dividends and with two-step or mixed operation problems
6.6 Multiplying Greater Represent commonly
with single-digit numbers. (6.1, 6.2, 6.3, 6.5, 6.6, 7.5, 7.6,
Numbers (NO&R) used fractions (e.g. , pictures,
6.7 Choose a Computation number lines)and decimals 7.7, 7.8, 7.9, 7.10, 7.11) MPS Number

Method (NO&R) (i.e., money) and use informal Operations and
B.b:13 Solve problem using basic multiplication
6.8 Multiplying Money reasoning to rename, compare, and division facts. (6.1, 6.2, 6.7) Relationships CABS #2,
(NO&R) add, and subtract them with #4

6.9 Problem Solving and without context.(6.3) B.b:15 Estimate: Multiplication of two-digit by one-digit

Skills-Writing to Explain problems, addition and subtraction of decimals using
(NO&R) (AR) Algebraic Relationships #9 money, and division in context. (6.2,6.8, 6.10, 7.2)
6.10 Problem-Solving Represent and extend patterns MPS Algebra CABS # 1
Applications Reptiles and describe rules for 1a, 1b
(NO&R) functional relationships. (6.3) Statistics and Probability

E.a.:2 Collect, organize, and display data in

Chapter 7 appropriate graphs or charts.(6.4)
Dividing Statistics and Probability #7
Design and conduct data Algebraic Relationships
7.1 Using Patterns to investigations, display and F.a:3 Describe the rule that explains a functional
Divide Mentally (N&O) describe data, summarize data relationship or pattern using addition, subtraction, or

(AR) sets (e.g., range, median, and multiplication rules. (6.9, 7.13)

7.2 Estimating Quotients mode), and draw conclusions.
(N&O) (6.4) F.b:8 Represent problem situations with one-step equations
7.3 Dividing with involving multiplication and division with simple open
Remainders (N&O) sentences. (7.10)
7.4 Two-Digit Quotients

(N&O)
Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4 10
8/26/08 Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.