Milwaukee Public Schools Curriculum Guide - Grade 2 Houghton Mifflin Math Expressions1st Quarter

Houghton Mifflin Expressions

Grade 2

2007–2008 Mathematics Curriculum Guides

Wisconsin Mathematics Standard / MPS
Learning Target / Wisconsin Assessment
Descriptors for Mathematics
(For Beginning Grade 1) / 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
September
19 teaching days
September
October
20 teaching days
October
November
7 teaching days / Unit 1 Understanding Addition and Subtraction
1.1 Introduce Stories and Drawings (NO&R)
1.2 Practice with Stories and Drawings (NO&R)
1.3 Add or Subtract Zero or 1 (NO&R, AR)
1.4 Relationships in Numbers to 10 (NO&R)
1.5 Teens, Tens, and Dimes (NO&R)
1.6 Break-Aparts of 10 (NO&R)
1.7 Partners in Break-Aparts (NO&R)
1.8 Partner Houses through 10 (NO&R)
1.9 Count On to Find the Total (AR)
1.10 Count On to Find the Partner (AR)
1.11 Use Tens (NO&R)
1.12 Make a Ten with Penny Strips and Fingers (NO&R)
1.13 Practice Adding with Teen Totals (NO&R)
1.14 Related Addition and Subtraction (AR)
1.15 Unknown Partners and Teen Totals (NO&R)
1.16 Related Addition and Subtraction Teen Totals (NO&R)
1.17 Use a Number Line to Add or Subtract (NO&R)
Unit 1 Understanding Addition and Subtraction
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 (NO&R)
1.22 Add Three Numbers (AR)
Mini 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)
Unit 2 Solving Story Problems
2.1 Change Plus and Change Minus Story Problems (NO&R)
2.2 More Change Plus and Change Minus Story Problems (NO&R)
2.3 Collection Problems (NO&R)
2.4 Story Problems with Group Names (NO&R, Prob/Stats)
2.5 Comparison Story Problems (NO&R)
2.6 More Comparison story Problems (NO&R)
2.7 Mixed Story Problems (NO&R)
2.8 Problems with not Enough or Extra Information (NO&R)
2.9 Problems with Hidden Information and Mixed Practice (NO&R)
Unit 2 Solving Story Problems
2.10 Two-Step Story Problems (NO&R)
2.11 Strategies Using Doubles (NO&R)
2.12 Mixed Practice and Writing Story Problems (NO&R)
2.13 Mixed Practice (NO&R)
Mini 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) / 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)
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)
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. (1.18, 1.19, 1.20, 1.21, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9)
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. (1.18, 1.19, 1.20, 1.22, 2.1, 2.2, 2.3)
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)
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. (2.10, 2.11, 2.12, 2.13)
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) / 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)
B.a:3 Compare and order whole numbers less than 1,000 (1.17)
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)
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)
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)
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)
F.b:4 Use notation to represent mathematical thinking: letter or box (variable); operation symbols (+, –, =). (1.13, 1.14, 1.17)
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)
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)
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 (e.g., 24=20+4) and symbolic renaming (e.g., 24=30-6). (1,.18, 1.19, 1.20)
B.a:3 Compare and order whole numbers less than 1,000 (1.18, 1.21)
B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. (1.19, 1.20, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9)
B.b:9 Solve single and double digit addition and subtraction problems with regrouping including horizontal format in problems with and without context (1.18, 1.19)
B.b:15 Determine reasonableness of answers (1.18, 1.19, 1.20, 1.21, 1.22, A.1, A.2, A.3, A.4, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9)
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 (1.18, 1.9, 1.20, 2.1, 2.2, 2.3)
F.b:4 Use notation to represent mathematical thinking: letter or box (variable); operation symbols (+, –, =) (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 (1.18, 1.19, 1.20, 1.22)
F.c:7 Use simple equations in a variety of ways to demonstrate the properties above (1.18, 1.19, 1.20)
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)
Number Operations and Relationships
B.b:8 Use addition and subtraction in everyday situations and solve one-step word problems. (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)
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) / MPS Algebraic Relationships CABS #1, #14
MPS Number Operations and Relationships CABS #8, #9
MPS Algebraic Relationships CABS #9
MPS Measurement CABS #3
MPS Geometry CABS #4
MPS Number Operations and Relationships CABS #7

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Curriculum Guide Expressions Grade 2Developed by the Milwaukee Mathematics Partnership with support

1st Quarterby the National Science Foundation under Grant No. 0314898.

Version 2.0