Milwaukee Public Schools Curriculum Guide 2 Houghton Mifflin Math Expressions Houghton Mifflin Expressions Grade 2 2008 2009 Mathematics Curriculum Guides Wisconsin Mathematics Standard MPS Learning Target Wisconsin Assessment Descriptors for Mathematics (For Beginning Grade 3) 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.
Unit 1 21 days Unit 1 Understanding Addition and Subtraction 1.1 Introduce Stories and Drawings 1.2 Practice with Stories and Drawings 1.3 Add or Subtract Zero or 1 (NO&R, AR) 1.4 Relationships in Numbers to 10 1.5 Teens, Tens, and Dimes 1.6 Break-Aparts of 10 1.7 Partners in Break- Aparts 1.8 Partner Houses through 10 1.9 Count On to Find the Total (AR) 1.10 Count On to Find the Partner (AR) 1.11 Use Tens 1.12 Make a Ten with Penny Strips and Fingers 1.13 Practice Adding with Teen Totals 1.14 Related Addition and Subtraction (AR) 1.15 Unknown Partners and Teen Totals MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Number Operations and Relationships #1 Use and explain strategies to compare and rename numbers and to solve addition and subtraction basic facts and word problems while applying place-value concepts and using money. (1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.11, 1.12, 1.13, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20, 1.21) Algebraic Relationships #9 Explain and use equality, properties, and relationships to solve open and true-false number sentences and use notation to communicate mathematical ideas. (1.3, 1.9, 1.10, 1.14, 1.18, 1.19, 1.20, 1.22) Number Operations and Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000. (1.5, 1.12, 1.13, 1.15, 1.16 1.17) B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base-ten blocks), number lines, arrays, expanded forms (e.g., 24=20+4) and symbolic renaming (e.g., 24=30-6). (1.4, 1.6, 1.7, 1.8, 1.11, 1.12, 1.13, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20) B.a:3 Compare and order whole numbers less than 1,000 (1.17, 1.18, 1.21) B.a:5 Count, compare, and make change using a collection of coins (up to one dollar) and one-dollar bills. (1.11, 1.12, 1.13, 1.15, 1.16, 1.17) B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. (1.1, 1.2, 1.4, 1.11, 1.12, 1.13, 1.15, 1.16, 1.17, 1.19, 1.20) B.b:9 Solve single and double digit addition and subtraction problems with regrouping including horizontal format in problems with and without context. (1.3, 1.4, 1.12, 1.13, 1.15, 1.16, 1.17, 1.18, 1.19) B.b:15 Determine reasonableness of answers. (1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12, 1.13, 1.14, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20, 1.21, 1.22) MPS Algebraic Relationships CABS #1 and #14 MPS Number Operations and Relationships CABS #8 and #9 2
Unit 1 Understanding Addition and Subtraction (cont.) 1.16 Related Addition and Subtraction Teen Totals 1.17 Use a Number Line to Add or Subtract 1.18 Equations and Equations Chains (NO&R, AR) 1.19 Equations From Math Mountains (NO&R, AR) 1.20 Stories From Math Mountains (NO&R, AR) 1.21 Compare and Order Numbers 1.22 Add Three Numbers (AR) Algebraic Relationships F.b:3 Demonstrate an understanding that the = sign means the same as by solving open or true/false number sentences. (1.14, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20) F.b:4 Use notation to represent mathematical thinking: letter or box (variable); operation symbols (+,, =). (1.13, 1.14, 1.17, 1.18, 1.19, 1.20) F.b:5 Use properties and/or relationships of arithmetical thinking to determine and to reason about what number goes in a box to make a numbers sentence true. (1.9, 1.10, 1.13, 1.14, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20, 1.22) F.c:6 Identify zero property (example 12 + 0 = box ) (1.3) F.c:7 Use simple equations in a variety of ways to demonstrate the properties above. (1.15, 1.16, 1.17, 1.18, 1.19, 1.20) 3
Unit A 6 days Unit A Measurement and Shapes A.1 Rulers, Lengths, and Partner Lengths (M) A.2 Squares, Rectangles and Triangles (G) A.3 Perimeters of Squares and Triangles (M) A.4 Perimeter of Triangles (M) MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Geometry #4 Describe and compare properties (e.g., sides, faces, corners, edges) of two- and three-dimensional shapes, and represent figures on a simple coordinate systems. (A.2) Measurement #6 Determine estimates and exact measurements of length, weight, area, temperature, and time, by using appropriate standard and non-standard units, appropriate tools, and common referents. (A.1, A.3, A.4) Geometry C.a:1 Identify, describe, and compare properties of 2 and 3 dimensional figures such as squares, triangles, rectangles, circles, pattern block shapes, cubes, pyramids, rectangular prisms, cylinders, and spheres (e.g., comparing sides, faces, corners, and edges) (A.2) Measurement D.a:1 Describe attributes of length, time, temperature, and identify appropriate units to measure them. Units include inches, feet, yards, centimeters, meters, seconds, minutes, hours, days, months, years, and degrees Fahrenheit/Celsius (A.1) D.b:6 Investigate measurements of area (A.3, A.4) MPS Measurement CABS #3 4
Unit 2 15 days Unit 2 Solving Story Problems 2.1 Change Plus and Change Minus Story Problems 2.2 More Change Plus and Change Minus Story Problems 2.3 Collection Problems 2.4 Story Problems with Group Names (NO&R, Prob/Stats) 2.5 Comparison Story Problems 2.6 More Comparison story Problems 2.7 Mixed Story Problems 2.8 Problems with not Enough or Extra Information 2.9 Problems with Hidden Information and Mixed Practice 2.10 Two-Step Story Problems 2.11 Strategies Using Doubles 2.12 Mixed Practice and Writing Story Problems 2.13 Mixed Practice MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Number Operations and Relationships #1 Use and explain strategies to compare and rename numbers and to solve addition and subtraction basic facts and word problems while applying place-value concepts and using money. (2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11, 2.12, 2.13) Probability and Statistics Pose and answer questions about real-world situations by collecting and displaying data from surveys and experiments (e.g., spinners), and draw reasonable conclusions including the likelihood of events. (2.4) Algebraic Relationships #9 Explain and use equality, properties, and relationships to solve open and true-false number sentences and use notation to communicate mathematical ideas. (2.1, 2.2, 2.3) Number Operations and Relationships B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. ((2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.12, 2.13) B.b:9 Solve single and double digit addition and subtraction problems with regrouping including horizontal format in problems with and without context. (2.11) B.b:15 Determine reasonableness of answers (2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11, 2.12, 2.13) Statistics and Probability E.a:4 Read, use information and draw reasonable conclusions from data in graphs, tables, charts, and Venn diagrams (2.4) Algebraic Relationships F.b:3 Demonstrate an understanding that the = sign means the same as by solving open or true/false number sentences (2.1, 2.2, 2.3) MPS Number Operations and Relationships CABS #7 MPS Algebraic Relationships CABS #9 5
Unit B 4 days Unit B Properties of Quadrilaterals B.1 Share Observations about Geometry (G) B.2 Define Parallel Lines and Parallelograms (G) B.3 Relate Different Quadrilaterals (G) MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Geometry #4 Describe and compare properties (e.g., sides, faces, corners, edges) of two- and three-dimensional shapes, and represent figures on a simple coordinate systems. (B.1, B.2, B.3) Geometry C.a:1 Identify, describe, and compare properties of 2 and 3 dimensional figures such as squares, triangles, rectangles, circles, pattern block shapes, cubes, pyramids, rectangular prisms, cylinders, and spheres (e.g., comparing sides, faces, corners, and edges). (B.1, B.3) C.b:2 Identify 2-dimensional geometric shapes created by combining or decomposing other shapes (e.g., square/triangle, trapezoid/rhombus, hexagon/triangle, triangle, rhombus, trapezoid). (B.2, B.3) 6
Unit 3 22 days Unit 3 Ones, Tens, Hundredths 3.1 Write the numbers 101-200 3.2 Draw Quick Tens and Hundreds 3.3 Represent Numbers in Different Ways 3.4 Add Two-Digit and One-Digit Numbers 3.5 Find Decade Partners 3.6 Combine Ones, Tens and Hundreds 3.7 Estimation Day (NO&R, M) 3.8 Invent Two-Digit Addition (NO&R, AR) 3.9 Addition-Show All Totals Method 3.10 Addition-New groups Below Method 3.11 Practice Addition with Totals over 100 3.12 Choose an Addition Method 3.13 two-digit Addition in Perimeter Problems (NO&R, M) 3.14 Buy with Pennies and Dimes MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Number Operations and Relationships #1 Use and explain strategies to compare and rename numbers and to solve addition and subtraction basic facts and word problems while applying place-value concepts and using money. (3.1,3.2, 3.3, 3.4,3.5,3.6, 3.7, 3.8, 3.9, 3.10, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.17) Number Operations and Relationships #2 Represent concepts of multiplication (e.g., groups, skip counting, and repeated addition) and division (i.e., sharing, measuring, and repeated subtraction) in everyday situations. (3.3, 3.5, 3.6, 3.9, 3.14, 3.15, 3.16, 3.17) Measurement #6 Determine estimates and exact measurements of length, weight, area, temperature, and time, by using appropriate standard and non-standard units, appropriate tools, and common referents. (3.7, 3.13) Number Operations and Relationships B.a:1Recognize and apply place-value concepts to whole numbers less than 1,000. (3.1,3.2,.3.3, 3.4,3.5, 3.6, 3.7, 3.8, 3.9, 3.10, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.17) B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base-ten blocks), number lines, arrays, expanded forms (e.g., 24=20+4) and symbolic renaming (e.g., 24=30-6). (B.3.1,3.2, 3.3, 3.4,3.5,3.6, 3.7, 3.8, 3.9, 3.10, 3.11, 3.12, 3.13, 3.14, 3.15, 3.16, 3.17) B.a:3 Compare and order whole numbers less than 1,000. (3.1, 3.2, 3.3, 3.5, 3.12, 3.16) B.a:4 Count by 2s, 3s, 5s, 10s 25s, 100s). (3.3, 3.5, 3.6, 3.8, 3.9, 3.14, 3.15, 3.16, 3.17) B.a:5 Count, compare, and make change using a collection of coins (up to one dollar) and one-dollar bills. (3.4, 3.5, 3.14, 3.15, 3.16) B.b:6 Use addition and subtraction in everyday situations and solve one-step word problems. (3.9, 3.14, 3.15) B.b:7 Solve single and double digit addition and subtraction problems with regrouping including horizontal format in problems with and without context. (3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10, 3.11, 3.12, 3.13, 3.14, 3.15, 3.17) B.b:9 Solve single and double digit addition and subtraction problems with regrouping including horizontal format in problems with and without context. (3.11, 3.12, 3.13, 3.14, 3.15) MPS Number Operations and Relationships CABS #3, #6, #9 and #12 MPS Measurement CABS #7 7
Unit 3 Ones, Tens, Hundredths (cont.) 3.15 Buy with Pennies, Nickels, and Dimes 3.16 Skip-Counting and Additional Practice 3.17 Find 2 Digit Partners Algebraic Relationships #9 Explain and use equality, properties, and relationships to solve open and true-false number sentences and use notation to communicate mathematical ideas. (3.8) B.b:10 Demonstrate the context of multiplication as grouping or repeated addition in context with products up to 50. (3.14, 3.15, 16) B.b:14 Estimate sums to tens and hundreds and differences to ten. (3.5, 3.6, 3.7, 3.10) Measurement D.a:1 Describe attributes of length, time, temperature, and identify appropriate units to measure them. Units include inches, feet, yards, centimeters, meters, seconds, minutes, hours, days, months, years, and degrees Fahrenheit/Celsius. (3.7) D.a:2 Compare attributes of length and weight by observation or when given actual measurements. (3.7) D.b:3 Read and interpret measuring instruments to determine the measurement of objects with non-standard and standard units to the nearest centimeter or half-inch.(3.13) Algebraic Relationships F.a:1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, number and geometric patterns, such as picture patterns in tables and charts, What s My Rule? patterns, patterns using addition and subtraction rules. Focus on relationships within patterns as well as extending patterns e.g., patterns and relationships represented with pictures, tables, and charts, and What s My Rule? patterns using addition and subtraction rules. (3.8) F.c:7 Use simple equations in a variety of ways to demonstrate the properties above. (3.8) MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS 8
Unit C 6 days Unit C C.1 Hours on the Clock (M) C.2 Hours and Minutes (M) C.3 More on Telling (M) C.4 Elapsed (M) C.5 Calendars and Function Tables (M, AR) Measurement #6 Determine estimates and exact measurements of length, weight, area, temperature, and time, by using appropriate standard and non-standard units, appropriate tools, and common referents. (C.1, C.2, C.3, C.4, C.5) Measurement D.b.5 Tell time to the nearest minute using analog and digital clocks; translate time from analog to digital clocks and vice versa ( C.1, C.2, C.3, C.4) Algebraic Relationships F.a:1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, number and geometric patterns, such as picture patterns in tables and charts, What s My Rule? patterns, patterns using addition and subtraction rules. Focus on relationships within patterns as well as extending patterns e.g., patterns and relationships represented with pictures, tables, and charts, and What s My Rule? patterns using addition and subtraction rules. (C.5) MPS Measurement CABS # 7 and #8 MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS 9
Unit 4 16 days Unit 4 Tables and Graphs 4.1 Introduce Picture Graphs((NO&R, SP) 4.2 Read Picture Graphs(NO&R, SP) 4.3 The Language of Comparison((NO&R, SP) 4.4 Pose and Solve Comparison Problems((NO&R, SP) 4.5 Tables((NO&R, SP) 4.6 Convert Tables to Picture Graphs ((NO&R,SP) 4.7 Graph Data((NO&R, SP) 4.8 Introduce Bar Graphs((NO&R,SP) 4.9 Read Bar Graphs ((NO&R, SP) 4.10 Analyze Information in Bar Graphs((NO&R, SP) 4.11 Introduce Circle Graphs((NO&R, SP) 4.12 Explore Circle Graphs((NO&R, SP) 4.13 Talk About Graphs ((NO&R, SP) Number Operations and Relationships #1 Use and explain strategies to compare and rename numbers and to solve addition and subtraction basic facts and word problems while applying place-value concepts and using money.(4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) Statistics and Probability #7 Pose and answer questions about realworld situations by collecting and displaying data from surveys and experiments (e.g. spinners), and draw reasonable conclusions including the likelihood of events. (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) Number Operations and Relationships B.a:1 Read, write, and represent numbers using words, numerals, pictures (e.g., base-ten blocks), number lines, arrays, expanded forms (e.g., 24=20+4) and symbolic renaming (e.g.24=30-6). (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.13) Statistics and Probability E.a:1 Answer and pose questions about collecting, organizing, and displaying data. Work with data in the context of real-world situations by determining what data to collect and when and how to collect it to answer questions. (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) E.a:2 Collect, organize and display data in simple bar graphs and charts including translating data from one form o the other. (4.2, 4.4,4.5,4.6,4.7,4.8, 4.10, 4.11, 4.13) E.a:3 Draw reasonable conclusions based on simple interpretations of data. (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) E.a:4 Read, use information and draw reasonable conclusions from data in graphs, tables, charts, and Venn diagrams. (4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8, 4.9, 4.10, 4.11, 4.12, 4.13) MPS Number Operations and Relationships #8 and #10 Statistics and Probability #5 and #8 10
Unit D 3 days Unit D Diagonals and Midpoints D.1 Diagonals of Quadrilaterals (G) D.2 Connect Midpoints and Quadrilaterals (G) D.3 Practice with Diagonals and Connecting Midpoints (G) MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Geometry #4 Describe and compare properties (e.g., sides, faces, corners, edges) of two- and threedimensional shapes, and represent figures on a simple coordinate systems. (D.1) What about D.2 and D.3? Geometry C.a:1 Identify, describe, and compare properties of 2 and 3 dimensional figures such as squares, triangles, rectangles, circles, pattern block shapes, cubes, pyramids, rectangular prisms, cylinders, and spheres (e.g., comparing sides, faces, corners, and edges). (D.1) Need a CABS 11
Unit 5 21 days Unit 5 Subtracting 2- Digit Numbers 5.1 Explore Quarters 5.2 Explore Dollars 5.3 Partners and Subtraction 5.4 Subtraction Story Problems 5.5 Two Methods of Subtraction 5.6 Practice and Explain a Method 5.7 Subtract from 200 5.8 Practice with the Ungroup First Method 5.9 Zero in the Ones or Tens Place 5.10 Model Subtraction with Money 5.11 Story Problems with Addition and Subtraction (NO&R, AR) 5.12 Math Mountain Equations with Larger Numbers (NO&R, AR) 5.13 Practice Addition and Subtraction 5.14 Buy and Sell with Two Dollars (NO&R, AR) MPS Learning Targets Wisconsin State Framework Assessment Descriptors District Model CABS Number Operations and Relationships #1 Use and explain strategies to compare and rename numbers and to solve addition and subtraction basic facts and word problems while applying place-value concepts and using money.(5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.13, 5.14,5.15, 5.16) Number Operations and Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000.(5.1,5.2,5.3,5.4,5.5,5.6,5.7) B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base-ten blocks), number lines, arrays, expanded forms (e.g., 24=20+4) and symbolic renaming (e.g., 24=30-6) (5.1,5.3,5.4,5.5,5.6,5.7) B.a:3 Compare and order whole numbers less than 1,000.(5.1,5.2,5.4,5.7, 5.8) B.a:4 Count by 2s, 3s, 5s, 10s, 25s, and 100s.(5.1,5.2) B.a:5 Count, compare, and make change using a collection of coins (up to one dollar) and one-dollar bills.(5.1,5.2, 5.10, 5.11, 5.14, 5.15) B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems.(5.4,5.6,5.7, 5.8, 5.10, 5.11, 5.13, 5.14, 5.15, 5.16) B.b:9 Solve single and double-digit addition and subtraction problems with regrouping including horizontal format in problems with and without context.(5.3,5.4,5.5,5.6,5.7, 5.9, 5.10, 5.11, 5.12, 5.13, 5.14, 5.15, 5.16) B.b:15Determine reasonableness of answers.(5.6,5.7, 5.9, 5.10, 5.11, 5.15, 5.16) 12
Unit 5 Subtracting 2-Digit Numbers (cont.) 5.15 Story Problems with Unknown Partners (NO&R, AR) 5.16 More Story Problems with Unknown Partners (NO&R, AR) 13
Unit 4 4 days Unit E Shapes and Patterns E.1 Compare Shapes (G) E.2 Motion Geometry (G) E.3 Pattern Day (G) E.4 Count Square Units (M) MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Geometry #4 Geometry Describe and compare C.a:1 Identify, describe, and compare properties of 2 and 3 properties (e.g., sides, faces, dimensional figures such as squares, triangles, rectangles, corners, edges) of two- and circles, pattern block shapes, cubes, pyramids, rectangular three-dimensional shapes, and prisms, cylinders, and spheres (e.g., comparing sides, faces, represent figures on a simple corners, and edges).(e.1, E.3) coordinate systems. (E.1,E.3) Geometry #5 Predict the results of combining and decomposing shapes, and recognize and apply slides, flips, and turns to two-dimensional shapes (E.2) Measurement #6 Determine estimates and exact measurements of length, weight, area, temperature, and time, by using appropriate standard and non-standard units, appropriate tools, and common referents.(e.4) C.b:3 Apply concepts of single-motion geometry (e.g., slides, flips, and turns) to match two identical shapes.(e.2) Measurement D.a:1 Describe attributes of length, time, temperature, and identify appropriate units to measure them. Units include inches, feet, yards, centimeters, meters, seconds, minutes, hours, days, months, years, and degrees Fahrenheit/Celsius.(E.4) D.b: 6 Investigate measurements of area. (E.4) D.c:7 Apply estimation techniques using non-standard units.(e.4) 14
Unit 6 25 days Unit 6 Digit addition and Subtraction 6.1 Count Numbers to 1,000 6.2 Place Value 6.3 Count by Ones and by Tens 6.4 Group into Hundreds 6.5 Add Ones, Tens, and Hundreds 6.6 Review Quarters 6.7 Buy with Dollars and Cents 6.8 Change from $5.00 6.9 Add Over the Hundred 6.10 Solve and Explain 6.11 Add Money Amounts 6.12 Discuss 3-Digit Addition 6.13 Story Problems: Unknown Addends 6.14 Story Problems with Hundreds Numbers 6.15 Subtract Money Amounts 6.16 Subtract Money Amounts 6.17 Subtract from Any 3- Digit Number MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Number Operations and Number Operations and Relationships Relationships #1 Use and explain strategies to B.a:1 Recognize and apply place-value concepts to whole compare and rename numbers numbers less than 1,000. (6.1, 6.2, 6.3, 6.4, 6.5,) and to solve addition and subtraction basic facts and B.a:2 Read, write, and represent numbers using words, word problems while numerals, pictures (e.g., base-ten blocks), number lines, applying place-value arrays, expanded forms (e.g., 24=20+4) and symbolic concepts and using money. renaming (e.g., 24=30-6). (6.1, 6.2, 6.3, 6.4, 6.5) (6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10, 6.11, 6.12, B.a:5 Count, compare, and make change using a collection of 6.13, 6.14, 6.15, 6.16, 6.17, coins (up to one dollar) and one-dollar bills. (6.1, 6.6, 6.7, 6.8, 6.18, 6.19, 6.20, 6.21, 6.22) 6.11, 6.13, 6.16, 6.22) B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. (6.5, 6.9, 6.10, 6.12, 6.13, 6.14, 6.15, 6.16, 6.17, 6.18, 6.19, 6.20, 6.21, 6.22) B.b:9 Solve single and double-digit addition and subtraction problems with regrouping including horizontal format in problems with and without context. (6.12, 6.13, 6.14, 6.15, 6.16, 6.17, 6.18, 6.19, 6.20, 6.21, 6.22) 15
Unit 6 Digit addition and Subtraction (cont.) 6.18 Practice Ungrouping 6.19 Relationships Between Addition and Subtraction Methods 6.20 Unknown Start and Comparison Problems 6.21 Mixed Addition and Subtraction Story Problems 6.22 Spend Money 16
Unit F 5 days Unit F Metric Measurement and 3-D Shapes F.1 Meters and Decimeters (M) F.2 Fun with Measuring (M) F.3 Meter, Decimeter, and Centimeter Equivalencies (M) F.4 Practice with Meters and Money (NO&R,M) F.5 3-Dimensional Shapes (G,M) F.6 Analyze 3- Dimensional Shapes (G,M) MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Number Operations and Number Operations and Relationships Relationships #1 Use and explain strategies to B.a:5 Count, compare, and make change using a collection of compare and rename numbers coins (up to one dollar) and one-dollar bills. (F.4) and to solve addition and subtraction basic facts and Geometry word problems while applying place-value concepts and using money. (F.4) Geometry #4 Describe and compare properties (e.g., sides, faces, corners, edges) of two- and three-dimensional shapes, and represent figures on a simple coordinate systems. (F.5, F.6) Measurement #6 Determine estimates and exact measurements of length, weight, area, temperature, and time, by using appropriate standard and non-standard units, appropriate tools, and common referents. (F.1, F.2, F.3, F.4, F.5) C.a:1 Identify, describe, and compare properties of 2 and 3 dimensional figures such as squares, triangles, rectangles, circles, pattern block shapes, cubes, pyramids, rectangular prisms, cylinders, and spheres (e.g., comparing sides, faces, corners, and edges). (F.5, F.6) Measurement D.a:1 Describe attributes of length, time, temperature, and identify appropriate units to measure them. Units include inches, feet, yards, centimeters, meters, seconds, minutes, hours, days, months, years, and degrees Fahrenheit/Celsius. (F.1, F.2, F.3, F.4) D.a:2 Compare attributes of length and weight by observation or when given actual measurements. (F.1, F.2, F.3, F.4, F.5) D.b:3 Read and interpret measuring instruments to determine the measurement of objects with non-standard and standard units to the nearest centimeter or half-inch. (F.1, F.2, F.3, F.4) 17
Unit 7 10 days Unit 7 Multiplication and Fractions 7.1 Introduction to Multiplication 7.2 Groups of Three 7.3 Groups of Four 7.4 Groups of Five and Arrays 7.5 Work with Arrays 7.6 The Language of Shares (NO&R,SP) 7.7 Symmetry (M) 7.8 Fractions 7.9 More on Fractions 7.10 Explore Probability (SP) 7.11 Possible Outcomes (SP) MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Number Operations and Number Operations and Relationships MPS Number Relationships #1 Operations and Use and explain strategies to B.b:8 Use addition and subtraction in everyday situations and Relationships CABS #14 compare and rename numbers solve one-step word problems. (7.6, and to solve addition and MPS Statistics and subtraction basic facts and B.b:10 Demonstrate the context of multiplication as grouping Probability CABS #1, word problems while or repeated addition in context with products up to 50. (7.1, #2, #3, #6, and #8 applying place-value 7.2, 7.3, 7.4, 7.5, concepts and using money. (7.6) Number Operations and Relationships #2 Represent concepts of multiplication (e.g., grouping, skip counting, repeated addition) and division (i.e., sharing, measuring, repeated subtraction) in everyday situations. (7.1, 7.2, 7.3, 7.4, 7.5) Number Operations and Relationships #3 Represent fractions as part of a whole and as part of a set to solve problems (e.g., equal sharing or partitioning) in everyday situations. (7.8, 7.9) B.b:12 Use fractions to represent quantities when solving problems involving equal sharing or partitioning (7.8, 7.9) B.b.13 Represent fractions with shaded circles, rods, squares, pictorial representations of a whole. (7.8, 7.9) Statistics and Probability E.a:1 Answer and pose questions about collecting, organizing and displaying data. Work with data in the context of realworld situations by determining what data to collect and when and how to collect it to answer questions. (7.6) E.a:4 Read, use information and draw reasonable conclusions from data in graphs, tables, charts, and Venn diagrams. (7.6) E.b:5 Determine if the occurrence of future events are more, less, or equally likely to occur. (7.10, 7.11) 18
Statistics and Probability #7 Pose and answer questions about real-world situations by collecting and displaying data from surveys and experiments (e.g., spinners), and draw reasonable conclusions including the likelihood of events. (7.6, 7.10, 7.11) 19
Unit G 2 days Unit G Non-Standard and Standard Units of Measure G.1 Explore Measurement Concepts (M) G.2 Customary Units of Length (M) G.3 Measurement Day (M) MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Measurement #6 Measurement MPS Measurement Determine estimates and CABS #2 exact measurements of D.a:1 Describe attributes of length, time, temperature, and length, weight, area, identify appropriate units to measure them. Units include temperature, and time, by inches, feet, yards, centimeters, meters, seconds, minutes, using appropriate standard hours, days, months, years, and degrees Fahrenheit/Celsius. and non-standard units, (G.1, G.2, G.3) appropriate tools, and common referents. (G.1, G.2, D.b:3 Read and interpret measuring instruments to determine G.3) the measurement of objects with non-standard and standard units to the nearest centimeter or half-inch. (G.2, G.3) D.c:7 Apply estimation techniques using non-standard units. (G.1, G.3) 20