Download Grade 4

Milwaukee Public Schools Curriculum Guide-Grade
4
Scott Foresman-Addison Wesley Mathematics
2nd Quarter
Scott Foresman-Addison Wesley Mathematics
Grade 4
2007–2008 Mathematics Curriculum Guides
Wisconsin
Mathematics
Standard
Throughout The Year
A.
Mathematical
Processes
MPS
Learning Target
Note: Mathematical processes
need to be embedded in all
mathematical strands
throughout the school year.
Math processes are assessed on
the WKCE-CRT and reported
as a separate proficiency area.
For example, students are
asked to provide written
justifications and explanations,
pose problems, and represent
concepts.
Wisconsin Assessment
Descriptors for Mathematics
(For Beginning Grade 5)
Curriculum
1) Reasoning: Use reasoning and logic to:
• Perceive patterns
• Identify relationships
• Formulate questions
• Pose problems
• Make conjectures
• Justify strategies
• Test reasonableness of results
2) Communication: Communicate mathematical ideas and reasoning using
the vocabulary of mathematics in a variety of ways (e.g., using words,
numbers, symbols, pictures, charts, tables, diagrams, graphs, and models).
3) Connections: Connect mathematics to the real world as well as within
mathematics.
4) Representations: Create and use representations to organize, record, and
communicate mathematical ideas.
5) Problem Solving: Solve and analyze routine and non-routine problems.
Version 2 Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4
2nd Quarter
Version 2.0
Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
1
Milwaukee Public Schools Curriculum Guide-Grade
Time
2nd
Quarter
November
13
teaching
days
4
Curricular Connections
Units/Lessons
MPS Learning Targets
Take time to complete
any lessons that have not
yet been completed.
Number Operations and
Relationships #1
Use strategies fluently to make
estimates, solve, and pose realword problems (e .g .single
and multi-step) for all
operations, to compare and
rename numbers, and to find
factors and multiples. (3.15)
Chapter 3
Multiplication and
Division Concepts and
Facts
3.12 Algebra-Writing and
Evaluating Expressions
(AR)
3.13 Algebra- Find a Rule
(AR)
3.14 Algebra- Solving
Multiplication and
Division Equations (AR)
3.15 Problem SolvingApplications, Sleeping
Animals (NO&R)
Chapter 4
Time, Data, and Graphs
4.1 Telling Time (M)
4.2 Units of Time
(Activity) (M)
4.3 Elapsed time (M)
Algebraic Relationships #9
Represent and extend patterns
and describe rules for
functional relationships. (3.13)
Algebraic Relationships # 10
Use symbols to represent
problem situations and use
properties and order of
operations to solve equations
involving all operations.(3.12,
3.14)
Measurement #6
Identify and compare
measurable attributes, estimate
and measure, and make
conversion (e.g., area,
perimeter, temperature) in both
customary and metric systems,
and solve problems with
elapsed time. (4.1, 4.2, 4.3)
Scott Foresman-Addison Wesley Mathematics
Wisconsin State Framework Assessment Descriptors
Number Operations and Relationships
B.b:13 Solve problem using basic multiplication
and division facts. (3.15)
2nd Quarter
Connections
District Model
MPS Number
Operations and
Relationships CABS #1,
#2
Algebraic Relationships
F.a:3 Describe a rule that explains a functional
relationship or pattern using addition, subtraction,
or multiplication rules. (3.13)
F.b:7 Solve simple, one-step open sentences
including missing factor in problems with and
without context e.g., “box” or letter variable and
whole number coefficients. (3.12)
F.b:8 Represent problem situations with one-step
equations involving multiplication and division
with simple open sentences. (3.14)
Measurement
D.a:1 Identify appropriate units to measure length,
liquid capacity, volume, weight/mass, time, and
temperature. Units include: inches, feet, yards,
miles, millimeters, centimeters, meters, kilometers,
ounces, cups, quarts, gallons, liters, seconds,
minutes, hours, days, months, years, ounces,
pounds, grams, kilograms, and degrees
Fahrenheit/Celsius. (4.2)
Version 2 Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4
2nd Quarter
Version 2.0
MPS Measurement
CABS # 4, 5
Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
2
Milwaukee Public Schools Curriculum Guide-Grade
December
15
teaching
days
Chapter 4
Time, Data, and Graphs
4.4 Problem solving
skills: Writing to compare
(M)
4.5 Calendars (M)
4.6 Pictographs
(Stats/Prob)
4.7 Line Plots (Stats/Prob)
4.8 Bar Graphs
(Stas/Prob)
4.9 Graphing Ordered
Pairs (AR, G)
4.10 Line Graphs
(Stats/Prob, AR, G)
4.11 Make a Graph
(Stats/Prob)
4.12 Median, Mode,
Range (Stats/Prob)
4.13 Data from Surveys
(Stats/Prob)
4.14 Misleading Graphs
(Stats/Prob)
4.15 Tsunamis (M,
Stats/Prob)
4
Geometry #5
Use coordinate systems to
specify and plot locations,
represent simple figures, and
identify relationships between
objects. (4.9, 4.10)
Measurement Target #6
Identify and compare
measurable attributes, estimate
and measure, and make
conversion (e.g., area,
perimeter, temperature) in both
customary and metric systems,
and solve problems with
elapsed time. (4.4, 4.5, 4.15)
Statistics and Probability #7
Design and conduct data
investigations, display and
describe data, summarize data
sets (e.g., range, median, and
mode), and draw conclusions.
(4.6, 4.7, 4.8, 4,10, 4.11, 4.12,
4.13, 4.14, 4.15)
Algebraic Relationships #9
Represent and extend patterns
and describe rules for
functional relationships. (4.9,
4.10)
Scott Foresman-Addison Wesley Mathematics
D.b:6 Translate time on an analog clock to digital
clock and vice-versa. (4.1)
D.b:7 Determine and compare elapsed time in problemsolving situations (4.3)
Geometry
C.c:8 Use simple 2-dimensional coordinate systems to
identify or plot locations on maps and to represent points and
simple figures with coordinates using letters and numbers
(e.g., (E, 3)). (4.9, 4.10)
2nd Quarter
MPS Geometry CABS
#8
MPS Statistics and
Probability CABS # 3
Measurement
D.b:7 Determine and compare elapsed time in problemsolving situations. (4.4, 4.5, 4.15)
Statistics and Probability
E.a:2 Collect, organize, and display data in appropriate
graphs or charts. (4.6, 4.7, 4.8, 4,10, 4.11, 4.12, 4.13, 4.14,
4.15)
E.a:3 Draw reasonable conclusions based on contextual
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)
E.a:5 Read and interpret information from single bar
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)
E.a:6 Describe a given set of data of seven items/numbers
or fewer using the terms range, mode, and median in
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)
Version 2 Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4
2nd Quarter
Version 2.0
Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
3
Milwaukee Public Schools Curriculum Guide-Grade
January
15
teaching
days
Chapter 5
Multiplying by OneDigit Numbers
5.1 Multiplying by
Multiples of 10, 100, or
1000 (N&O)
5.2 Estimating Products
(N&O)
5.3 Mental Math (N&O)
5.4 Using Arrays to
Multiply (N&O)
5.5 Multiplying TwoDigit and One-Digit
Numbers (N&O)
5.6 Multiplying ThreeDigit and One-Digit
Numbers (N&O)
5.7 Problem-Solving
Strategy: Try, Check, and
Revise (N&O)
5.8 Choose a
Computation Method
(N&O)
5.9 Multiplying Money
(N&O)
5.10 Algebra Multiplying
(A R)
5.11 Problem Solving
Skill: Choose an
Operation (N&O)
5.12 Problem Solving
Application: Jumbo Jet
(N&O)
4
Number Operations and
Relationships #1
Use strategies fluently to make
estimates, solve, and pose realword problems (e .g .single
and multi-step) for all
operations, to compare and
rename numbers, and to find
factors and multiples.
(5.1, 5.2, 5.3, 5.4, 5.5, 5.6,
5.7, 5.8, 5.9, 5.11, 5.12)
Algebraic Relationships # 10
Use symbols to represent
problem situations and use
properties and order of
operations to solve equations
involving all operations.
(5.10)
Scott Foresman-Addison Wesley Mathematics
Number Operations and Relationships
B.a:4 Use basic facts to determine the first ten multiples of
2-10 and determine factors for numbers up to 100.
Recognize the divisibility potential of numbers (divisors of
2, 5, 10,25).Count using whole numbers less than 10,000 and
by any number 1-12 and “friendly numbers “through 100
(ex. 20, 25, etc.) (5.1, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.11,
5.12)
B.b:11 Solve three-and four digit addition and subtraction
with regrouping; multiplication of two- digit by one-digit
numbers; division with single-digit divisors and two-digit
dividends and with two-step or mixed operation problems
with single-digit numbers. (5.5, 5.6, 5.8, 5.9, 5.10, 5.11,
5.12)
2nd Quarter
MPS Number
Operations and
Relationships CABS
# 3, 5, 7
B.b:13 Solve problem using basic multiplication
and division facts. (5.7, 5.11)
B.b:15 Estimate: Multiplication of two-digit by one-digit
problems, addition and subtraction of decimals using money,
and division in context. (5.2)
Algebraic Relationships
F.c: 10 Use the commutative property of multiplication with
positive single digits. (5.10)
Adjustments made to the 2nd quarter curriculum guide reflect feedback from teachers regarding the pacing in the 1 st quarter guide. Please note that
continuing 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 may assist students in developing a deeper conceptual understanding of mathematics as well as help to improve the
current pacing as outlined in the 2nd quarter curriculum guide.
Version 2 Curriculum Guide Scott Foresman-Addison Wesley Mathematics-Grade 4
2nd Quarter
Version 2.0
Developed by the Milwaukee Mathematics Partnership with support
by the National Science Foundation under Grant No. 0314898.
4