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2snd Quarter Milwaukee Public Schools Curriculum Guide-Template Everyday Math Grade 1 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. Milwaukee Public Schools Assessment Descriptors for Mathematics (For Beginning Grade 2) 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. Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 1 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template Time November 13 teaching days Curricular Connections Units/Lessons Please take the time to complete any lessons needed to be done. Unit 3: Visual Patterns, Number Patterns, and Counting 3.9 More Frames-andArrows Problems (NO&R, AR) 3.10 Counting with a Calculator (NO&R) 3.11 Dimes (NO&R) 3.12 Counting Dimes, Nickels, and Pennies (NO&R) 3.13 Data Day (NO&R, Stats & Prob) 3.14 Domino Addition (NO&R, AR) Unit 4: Measurement and Basic Facts 4.1 Math Message and Reading a Thermometer (NO&R, M) MPS Learning Targets Number Operations and Relationships #1 Represent numbers, monetary values, and fractions (i.e., halves and fourths) to show equivalency (e.g., 5+5=8+2, 10 dimes is worth $1.00, 4 fourths is the same as 1 whole) and to compare them. (3.10, 3.11, 3.12, 3.13, 4.1, 4.3) Number Operations and Relationships Number Operations and Relationships #2 Use and explain strategies to solve addition and subtraction basic fact problems (e.g., doubles plus one, make a ten) and word problems (e.g., direct modeling). (3.14, 4.2) B.a:4 Count and compare collections of coins up to one dollar. (3.10, 3.11, 3.12, 3.13, 4.3) Number Operations and Relationships #3 Estimate and explain strategies (e.g., make equal groups, skip count) to count collections of objects up to 100. (3.9, 3.10, 3.11, 3.14, 4.1) Geometry #4 Describe, list, and compare geometric properties of twodimensional and threedimensional shapes and objects. (3.13) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 Wisconsin State Framework Assessment Descriptors B.a:.2 Compare and order whole numbers less than 100 using tools and place-value concepts (e.g., hundreds chart, number lines, bundles of ten sticks, connecting cubes). (4.1) Connections District Model CABS MPS Algebraic Relationships CABS Odd or Even Toy Cars B.a:3 Skip count by twos, fives, tens, hundreds and count on by ones and tens starting at various points (e.g., 23, 33, 43, 53, 63). (3.9, 3.10, 4.1) B.b:8 Explain strategies for estimating, organizing, and counting collections of objects up to 100, emphasizing groups of ten and five. (3.11, 3.14) B.b:9 Explain and show the relationship between addition and subtraction using objects and pictures. (3.14, 4.2) Measurement D.a:1 Use everyday language to describe measurable attributes of objects (e.g., height, length, distance around, weight, mass, capacity), time, and temperature. (4.1) D.a:2 Identify appropriate non-standard units (e.g., paper clips, cubes) and standard units (e.g., inches, minutes, hours, days, months, degrees Fahrenheit) to quantify measurable attributes. (4.2, 4.3) D.b:3 Read and interpret measuring instruments to quantify measurable attributes of objects using nonstandard units and standard units to the nearest whole unit (e.g., nearest inch or nearest number of paper clips). (4.2, 4.3) Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 2 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template Unit 4: Measurement and Basic Facts November 13 teaching days 4.2 Nonstandard Linear Measures (NO&R, M) 4.3 Personal “Foot” and Standard Foot (NO&R, M) Measurement #6 Describe measurable attributes and identify, estimate, and use non-standard and standard units to measure attributes of objects, time, and temperature. (4.1, 4.2, 4.3) Measurement Statistics and Probability #7 Pose questions for collecting numerical and categorical data, display and draw conclusions to answer questions, and identify the likelihood of events. (3.13) Statistics and Probability Algebraic Relationships #8 Describe and extend repeating patterns, growing patterns, and relationships in tables and charts, including odd and even numbers. (3.9, 3.14) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 D.b:5 Identify the relationship between the scale on a thermometer and real-world contexts and experiences (e.g., 10°F indicates a very cold temperature and is below freezing, 60°F indicates a mild temperature for a nice day, 90°F indicates that the weather is very hot). (4.1) E.a:3 Display data using tables, tally marks, and bar graphs. (3.13) E.a:4 Analyze data displays to draw reasonable conclusions and answer questions in the context of the data (e.g., most people in our class like chocolate ice cream). (3.13) Algebraic Relationships F.a.1: Recognize, describe, and extend repeating and growing patterns, including attribute, numeric, and geometric patterns, and “What’s My Rule?” relationships in tables and charts. (3.9, 3.14) Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 3 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template Unit 4 : Measurement and Basic Facts December 4.4 The Inch (M) 15 teaching days 4.5 The 6-Inch Ruler (M) 4.6 Measuring with a Tape Measure (M, Stats & Prob) 4.7 Explorations: Exploring Data, Shapes, and Base- 10 Blocks (NO&R, M) 4.8 Telling Time on the Quarter-Hour (NO&R, M) 4.9 Timelines (M, Stats & Prob) 4.10 Number Scrolls (NO&R, M) 4.11 Introducing Fact Power (NO&R) 4.12 Good Fact Habits (NO&R) 4.13 Progress Check Number Operations and Relationships #1 Represent numbers, monetary values, and fractions (i.e., halves and fourths) to show equivalency (e.g., 5+5=8+2, 10 dimes is worth $1.00, 4 fourths is the same as 1 whole) and to compare them. (4.7, 4.8, 4.10, 4.11) Number Operations and Relationships #2 Use and explain strategies to solve addition and subtraction basic fact problems (e.g., doubles plus one, make a ten) and word problems (e.g., direct modeling). (4.7, 4.8, 4.11, 4.12) Measurement #6 Describe measurable attributes and identify, estimate, and use non-standard and standard units to measure attributes of objects, time, and temperature. (4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10) Statistics and Probability #7 Pose questions for collecting numerical and categorical data, display and draw conclusions to answer questions, and identify the likelihood of events. (4.6, 4.9) Number Operations and Relationships B.a:1 Explain use of notation to show equality and model word problems, and solve simple open number sentences and true-false statements. (4.10) B.a:2 Compare and order whole numbers less than 100 using tools and place-value concepts (e.g., hundreds chart, number lines, bundles of ten sticks, connecting cubes). (4.7, 4.10) B.a:4 Count and compare collections of coins up to one dollar. (4.11) MPS Measurement CABS (In Progress) EDM Unit Progress Check Written Assessment (pp. 150-151) Open Response (p. 152) B.a:5 Represent halves and fourths using objects and pictures to explain the meaning of fractions as parts of a whole. (4.8) B.b:6 Use and explain strategies (e.g., direct modeling, counting, numerical reasoning) to solve a variety of addition and subtraction word problems (e.g., change unknown, comparison, part-whole) and write number sentences that match the structure of the problems. (4.11, 4.12) B.b:9 Explain and show the relationship between addition and subtraction using objects and pictures. (4.7, 4.8, 4.12) Measurement D.a:2 Identify appropriate non-standard units (e.g., paper clips, cubes) and standard units (e.g., inches, minutes, hours, days, months, degrees Fahrenheit) to quantify measurable attributes. (4.4, 4.5, 4.7) D.b:3 Read and interpret measuring instruments to quantify measurable attributes of objects using nonstandard units and standard units to the nearest whole unit (e.g., nearest inch or nearest number of paper clips). (4.4, 4.5, 4.6, 4.7) D.b:4 Demonstrate the understanding that zero is the starting point on measuring instruments. (4.4, 4.5, 4.6, 4.7) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 4 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template D.b:6 Tell time to the nearest hour or half-hour using analog clocks and tell time using digital clocks. (4.4, 4.8, 4.9, 4.10) D.c:7 Estimate length, weight, and mass of objects using common reference for nonstandard and standard units. (4.5) Statistics and Probability E.a:1 Pose questions that can be answered by collecting numerical and categorical data. (4.9) E.a:2 Determine and then carry out ways to collect and organize data. (4.9) E.b:5 Determine the likelihood (e.g., very likely, somewhat likely, not very likely, certain, impossible) of real-world events (e.g., it is very likely that people in our class will pick chocolate ice cream to each at the party). (4.6) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 5 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template January 15 teaching days Unit 5: Place Value, Number Stories and Basic Facts 5.1 Place Value: Tens and Ones (NO&R) 5.2 Place Value with Calculators (NO&R) 5.3 Relations: Greater Than, Less Than, and Equal to (NO&R, AR) 5.4 Explorations: Exploring Area, Weight, and Counting (NO&R, M) 5.5 Animal Weights (NO&R, M) 5.6 More Than and Less Than Number Stories (NO&R, AR) 5.7 Comparison Number Stories (NO&R, AR) 5.8 Solving Number Stories (NO&R, AR) 5.9 Dice Sums (NO&R, Stats & Prob) 5.10 Turn-Around Facts (NO&R, Stats & Prob, AR) Number Operations and Relationships #1 Represent numbers, monetary values, and fractions (i.e., halves and fourths) to show equivalency (e.g., 5+5=8+2, 10 dimes is worth $1.00, 4 fourths is the same as 1 whole) and to compare them. (5.1, 5.2, 5.3, 5.5, 5.6, 5.9, 5.13) Number Operations and Relationships Number Operations and Relationships #2 Use and explain strategies to solve addition and subtraction basic fact problems (e.g., doubles plus one, make a ten) and word problems (e.g., direct modeling). (5.2, 5.6, 5.7, 5.8, 5.10, 5.11) B.a:3 Skip count by twos, fives, tens, hundreds and count on by ones and tens starting at various points (e.g., 23, 33, 43, 53, 63). (5.2) Number Operations and Relationships #3 Estimate and explain strategies (e.g., make equal groups, skip count) to count collections of objects up to 100. (5.2, 5.5) Measurement #6 Describe measurable attributes and identify, estimate, and use non-standard and standard units to measure attributes of objects, time, and temperature. (5.4, 5.5) Statistics and Probability #7 Pose questions for collecting numerical and categorical data, display and draw conclusions to answer questions, and identify the likelihood of events. (5.9, 5.10) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 B.a:1 Explain use of notation to show equality and model word problems, and solve simple open number sentences and true-false statements. (5.1, 5.2) B.a:2 Compare and order whole numbers less than 100 using tools and place-value concepts (e.g., hundreds chart, number lines, bundles of ten sticks, connecting cubes). (5.1, 5.2, 5.3, 5.5, 5.6, 5.9) MPS Algebraic Relationships CABS More, Less, or Equal What’s the Equation? B.a:4 Count and compare collections of coins up to one dollar. (5.13) B.b:6 Use and explain strategies (e.g., direct modeling, counting, numerical reasoning) to solve a variety of addition and subtraction word problems (e.g., change unknown, comparison, part-whole) and write number sentences that match the structure of the problems. (5.2, 5.6, 5.7, 5.8, 5.11) B.b:7 Use numerical reasoning or number relationships (e.g., 8+5, first add 8+2, then add 3 more) and counting strategies (e.g., 7-5, start at 5, count up to 7, keep track of the counts) to solve addition and subtraction basic fact problems. (5.10, 5.11) B.b:8 Explain strategies for estimating, organizing, and counting collections of objects up to 100, emphasizing groups of ten and five. (5.4, 5.5) B.b:9 Explain and show the relationship between addition and subtraction using objects and pictures. (5.7, 5.8) Measurement D.a:1 Use everyday language to describe measurable attributes of objects (e.g., height, length, distance around, weight, mass, capacity), time, and temperature. (5.4, 5.5) Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 6 2snd Quarter Milwaukee Public Schools Curriculum Guide-Template January Unit 5: Place Value, Number Stories and Basic Facts 15 teaching days 5.11 Easy Facts (NO&R) 5.12 What’s My Rule? (AR) 5.13 Applying Rules (NO&R, AR) 5.14 Progress Check Algebraic Relationships #8 Describe and extend repeating patterns, growing patterns, and relationships in tables and charts, including odd and even numbers. (5.12, 5.13) Algebraic Relationships #9 Explain use of notation to show equality and model word problems, and solve simple open number sentences and true-false statements. (5.3, 5.6, 5.7, 5.8, 5.10) Measurement D.a:2 Identify appropriate non-standard units (e.g., paper clips, cubes) and standard units (e.g., inches, minutes, hours, days, months, degrees Fahrenheit) to quantify measurable attributes (5.4) D.c:7 Estimate length, weight, and mass of objects using common reference for nonstandard and standard units. (5.4) Statistics and Probability E.a:3 Display data using tables, tally marks, and bar graphs. (5.9) E.a:4 Analyze data displays to draw reasonable conclusions and answer questions in the context of the data (e.g., most people in our class like chocolate ice cream). (5.9) E.b:5 Determine the likelihood (e.g., very likely, somewhat likely, not very likely, certain, impossible) of real-world events (e.g., it is very likely that people in our class will pick chocolate ice cream to each at the party). (5.10) Adjustments made to the 2nd quarter curriculum guide reflect feedback from teachers regarding the pacing in the 1st 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. Algebraic Relationships F.a:1 Recognize, describe, and extend repeating and growing patterns, including attribute, numeric, and geometric patterns, and “What’s My Rule?” relationships in tables and charts. (5.12, 5.13) F.b:3 Demonstrate understanding that the equal sign means “the same as” by solving open number sentences (e.g., 3+2=+4; 5=1+; 3+=6) and true-false statements. (5.3, 5.6, 5.7, 5.8) F.b:6 Demonstrate understanding of the commutative property by explaining the answer to problems such as the order of numbers in an addition statement does not change the answer. (5.10) Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 7 Milwaukee Public Schools Curriculum Guide-Template Curriculum Guide Everyday Mathematics 1st Quarter Version 2.0 2snd Quarter Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898. 8