Milwaukee Public Schools Curriculum Guide- Grade 4Everyday Mathematics2nd Quarter
Everyday Mathematics
Grade 4
2007–2008 Mathematics Curriculum Guides
Wisconsin Mathematics Standard / MPSLearning Target / Wisconsin Assessment
Descriptors for Mathematics
(For Beginning Grade 5) / Curriculum
Throughout The Year / A. Mathematical Processes / 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. / 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.
Time / Curricular Connections
Units/Lessons / MPS Learning Targets / Wisconsin State Framework Assessment Descriptors / Connections
District Model CABS
November
13 Teaching days
November
13 Teaching days
December
15 Teaching days
December
15 Teaching days
January
15 Teaching days
January
15 Teaching days
/ Take time to complete any lessons that have not yet been completed.
Unit 4 Decimals and Their Uses
4.1Decimal Place Value (NO&R,AR)
4.2Review of Basic Decimal Concepts (NO&R)
4.3Comparing and Ordering Decimals (NO&R)
4.4Estimating with Decimals (NO&R, Stat/Prob)
4.5Decimal Addition and Subtraction (NO&R)
4.6Decimals in Money (NO&R, Stats/Prob)
Unit 4 Decimals and Their Uses
4.7Thousandths(NO&R)
4.8Metric Units of Length(NO&R, M)
4.9Personal References for Metric Length(M)
4.10 Measuring in Millimeters(NO&R, M)
4.11 Progress Check 4
Unit 5 Big Numbers, Estimation, and Computation
5.1Extended Multiplication Facts(NO&R)
5.2Multiplication Wrestling(NO&R, AR)
5.3Estimating Sums(NO&R, Stat/Prob)
5.4Estimating Products(NO&R, Stat/Prob)
5.5Partial-Products Multiplication (Part 1)(NO&R, AR)
5.6Partial-Products Multiplication(Part 2)(NO&R, AR)
5.7Lattice Muliplication (NO&R)
Unit 5 Big Numbers, Estimation, and Computation
5.8Big Numbers (NO&R, AR)
5.9Powers of 10 (NO&R, Stats/Prob)
5.10 Rounding and Reporting Round Numbers (NO&R, Stats/Prob)
5.11Comparing Data (NO&R, Stats/Prob)
5.12Progress Check 5
Unit 6 Division; Map Reference Frames; Measures of Angles
6.1Multiplication and Division Number Stories (NO&R)
6.2Strategies for Division (NO&R)
6.3 The Partials-Quotients Division Algorith, Part I (NO&R)
6.4Expressing and Interpreting Remainders (NO&R)
6.5Rotations and Angles (NO&R, G)
6.6Using a Full-Circle Protractor (G)
6.7The Half-Circle Protractor (G) / Numbers and Operations #1
Use strategies fluently to make estimates, solve, and pose real-world problems (e.g., single and multi-step) for all operations, to compare and rename numbers, and to find factors and multiples. (4.1, 4.2, 4.3, 4.4, 4.5, 4.6)
Numbers and Operations #2
Represent commonly used fractions (e.g., pictures, number lines) and decimals (i.e., money) and use informal reasoning to rename, compare, add, and subtract them with and without context. (4.2, 4.3, 4.4, 4.5, 4.6)
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. (4.4, 4.6)
Algebraic Relationships #9
Represent and extend patterns and describe rules for functional relationships. (4.1)
Numbers and Operations #1
Use strategies fluently to make estimates, solve, and pose real-world problems (e.g., single and multi-step) for all operations, to compare and rename numbers, and to find factors and multiples. (4.7, 4.8, 4.10, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7)
Numbers and Operations #2
Represent commonly used fractions (e.g., pictures, number lines) and decimals (i.e., money) and use informal reasoning to rename, compare, add, and subtract them with and without context. (4.7)
Measurement #6
Identify and compare measurable attributes, estimate and measure, and make conversions (e.g., area, perimeter, temperature) in both customary and metric systems, and solve problems with elapsed time. (4.8, 4.9, 4.10)
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. (5.3, 5.4)
Algebraic Relationships #10
Use symbols to represent problem situations and use properties and order of operations to solve equations involving all operations. (5.2)
Numbers and Operations #1
Use strategies fluently to make estimates, solve, and pose real-world problems (e.g., single and multi-step) for all operations, to compare and rename numbers, and to find factors and multiples. (5.8, 5.9, 5.10, 5.11, 6.1, 6.2, 6.3)
Geometry #3
Describe, compare, and classify two-and three-dimensional figures according to their properties including symmetry. (6.5, 6.6, 6.7)
Geometry #4
Identify and describe figures constructed from blocks, nets, and transformations. (6.5, 6.6)
Algebraic Relationships #9
Represent and extend patterns and describe rules for functional relationships (5.9)
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.(5.10, 5.11) / Number Operations and Relationships
B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000,000. (4.1, 4.5)
B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base ten blocks), number lines, arrays, expanded forms (243=200+40+3). and symbolic renaming e.g., 243=250-7. (4.2, 4.3, 4.4, 4.5)
B.a:3 Compare and order numbers less than 10,000 represented in numbers, arrays, symbols (<, >, =) and words. (4.3, 4.4)
B.a:7 Represent fractions (1/4s, 1/2s, 1/8s, 1/10s, 1/16s) using numbers, pictures (e.g., drawings or base ten blocks), and number lines. (4.2, 4.3, 4.5)
B.b:10 Use all operations in everyday situations to solve single or multi-step word problems. (4.3)
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. (4.5)
B.b:12 Add and subtract decimals in the context of money. (4.6)
B.b:13 Solve problems using basic multiplication and division facts. (4.8, 4.10)
Number Operations and Relationships
B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. (4.4, 4.6)
B.b:16 Determine reasonableness of answers. (4.4, 4.5, 4.6)
Statistics and Probability
E.a:2 Collect, organize, and display data in appropriate graphs or charts. (4.6)
E.a:4 Use data to predict outcomes or trends from graph or table. (4.4)
Algebraic Relationships
F.a:1Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (4.1)
F.a:2 Represent patterns and relationship with pictures, tables, and charts. (4.1)
Number Operations and Relationships
B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base ten blocks), number lines, arrays, expanded forms (243=200+40+3), and symbolic renaming e.g., 243=250-7. (4.7, 4.8, 5.1, 5.2, 5.5, 5.6)
B.a:3 Compare and order numbers less than 10,000 represented in numbers, arrays, symbols (<, >, =) and words. (4.7)
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, 5.2, 5.4, 5.5)
B.a:7 Represent fractions (1/4s, 1/2s, 1/8s, 1/10s, 1/16s) using numbers, pictures (e.g., drawings or base ten blocks), and number lines. (4.7)
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. (5.2, 5.5, 5.6, 5.7)
B.b:13 Solve problems using basic multiplication and division facts. (4.8, 4.10, 5.1, 5.2, 5.5, 5.6, 5.7)
B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. (5.3, 5.4, 5.5, 5.6)
B.b:16 Determine reasonableness of answers. (5.3)
Measurement
D.a:2 Compare attributes of length and weight by direct observation or when given actual measurements. (4.8)
D.a:3 Make measurement conversions within a system between units (e.g., feet and yards; inches and feet; quart and gallons; meters and centimeters; minutes and hours; hours and days; months and years). (4.8, 4.10)
D.b:4 Read, interpret, and use measuring instruments to determine the measurement of objects with non-standard and standard units to the nearest 1/4-inch or centimeter. (4.8, 4.9, 4.10)
D.c:8 Estimate measurement using U.S. customary and metric measurements. (4.9)
Statistics and Probability
E.a:4 Use data to predict outcomes or trends from graph or table. (5.3)
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. (5.4)
Algebraic Relationships
F.c:12 Demonstrate understanding of order of operations by solving two-step open sentences involving all operations. (5.2)
Number Operations and Relationships
B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000,000. (5.8, 5.9)
B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base ten blocks), number lines, arrays, expanded forms (243=200+40+3), and symbolic renaming e.g., 243=250-7. (5.8, 5.9, 5.10, 5.11, 6.1, 6.2, 6.4)
B.a:3 Compare and order numbers less than 10,000 represented in numbers, arrays, symbols (<, >, =) and words. (5.11)
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.). (6.2, 6.3, 6.4, 6.5)
B.b:10 Use all operations in everyday situations to solve single or multi-step word problems. (5.8, 6.1, 6.2, 6.3)
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. (6.3)
B.b:13 Solve problems using basic multiplication and division facts(6.4)
B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context.(5.8, 5.10)
Number Operations and Relationships
B.b:16 Determine reasonableness of answers.(5.8, 5.10)
Geometry
C.a:1 Identify, describe and compare properties of 2-and 3-dimensional figures, comparing sides, faces, vertices and edges of regular figures including parallel and perpendicular lines and line segments.(6.5, 6.6, 6.7)
C.b:5 Use slides, flips, and turns on figures. Identify congruent shapes using figures that have been manipulated by one or two motions (slides, flips, and turns).(6.5, 6.6)
Statistics and Probability
E.a:4 Use data to predict outcomes or trends from graph or table.(5.10, 5.11)
Algebraic Relationships
F.a:1Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns.(5.9)
F.a:2 Represent patterns and relationship with pictures, tables, and charts.(5.9)
F.a:3 Describe a rule that explains a functional relationship or pattern using addition, subtraction, or multiplication rules.(5.9) / MPS NO&R CABS #15
MPS Measurement CABS #3
MPS NO&R CABS #7a-7c
MPS NO&R CABS #2a-2c
MPS Stats/Prob
CABS #2
MPS NO&R CABS #4
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Curriculum Guide Everyday MathematicsDeveloped by the Milwaukee Mathematics Partnership with support
2nd Quarterby the National Science Foundation under Grant No. 0314898.
Version 2.0