Houghton Mifflin Expressions Grade Mathematics Curriculum Guides

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1 Milwaukee Public Schools Curriculum Guide 4 Houghton Mifflin Math Expressions Houghton Mifflin Expressions Grade Mathematics Curriculum Guides Wisconsin Mathematics Standard MPS Learning Target Wisconsin Assessment Descriptors for Mathematics (For Beginning Grade 6) 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.

2 Unit 1 27 days Unit 1 Basic Multiplication and Division 1.1 Patterns in 2 s, 5 s, 10 s, and 9 s (NO&R,AR) 1.2 Arrays and Commutatively (NO&R,AR) 1.3 Fluency Day: 2s, 5s, 9s, and 10 s 1.4 Multiply and Divide With 3(NO&R, AR, SP) 1.5 Multiply and Divide With 4 (NO&R,AR) 1.6 Multiply and Divide With 1 and 0 (NO&R, AR) 1.7 Fluency Day(NO&R, AR, SP) 1.8 Related Equations (NO&R,AR) 1.9 Group and Array Word Problems (NO&R,AR) 1.10 Multiply and Divide With 6(NO&R, AR) 1.11 Multiply and Divide With 8 and 7 (NO&R, AR) 1.12 Square Numbers, 11s, and 12s (NO&R, AR) Number Operations and Relationships#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. (1.1, 1.2, 1.3,1.4, 1.5, 1.6, 1.7, 1.8, 1.10, 1.11, 1.12, 1.14, 1.15, 1.16, 1.17, 1.21,1.22, 1.23) 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. (1.4, 1.7, 1.15, 1.16, 1.19) Algebraic Relationships #9 Represent and extend patterns and describe rules for functional relationships (1.1, 1.2, 1.4,1.6, 1.7, 1.8, 1.10, 1.11, 1.12, 1.13, 1.15) 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= ), and symbolic renaming e.g., 243=250-7 (1.1, 1.2, 1.3, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12, 1.17) 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.) (1.1, 1.2, 1.3, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12, 1.14, 1.15, ) B.b:10 Use all operations in everyday situations to solve single or multi-step word problems.(1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 1.11, 1.16, 1.17, (1.21, 1.22, 1.23) 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.(1.2, 1.4) B.b:13 Solve problems using basic multiplication and division facts.(1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.9, 1.10, 1.11, 1.12, 1.14, 1.16, 1.17, 1.21, 1.22, 1.23) B.b:16 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, 1.15, 1.16, 1.17,1.18, 1.19, 1.20, 1.21, 1.22, 1.23 ) MPS Number Operations and Relationships CABS #4 and #5 MPS Algebra CABS #1 MPS Statistics and Probability CABS #3 2

3 Unit 1 Basic Multiplication and Division (cont.) 1.13 Properties of Multiplication (AR) 1.14 Fluency Day 1.15 Solve Word Problems With Tables (NO&R, SP, AR) 1.16 Tables of Combinations (NO&AR,SP) 1.17 Fluency Day (NO&AR) 1.18 Multiplication Comparisons(NO&AR) 1.19 Mixed comparison Problems (NO&AR,SP) 1.20 Bar Graphs (NO&AR) 1.21 Fluency Day (NO&AR) 1.22 Multi-Step Word Problems (NO&AR) 1.23 Factoring and Prime Numbers (NO&AR) Algebraic Relationships #10 Use symbols to represent problem situations and use properties and order of operations to solve equations involving all operations (1.2, 1.6, 1.7, 1.13, 1.15, 1.8, 1.22) Statistics and Probability E.a:1 Formulate questions to collect, organize, and display data (1.15) E.a:2 Collect, organize, and display data in appropriate graphs or charts. (1.15) E.a:3 Draw reasonable conclusions based on contextual data. (1.4, 1.15, 1.16) E.a:4 Use data to predict outcomes or trends from graph or table. (1.15) E.a:5 Read and interpret information from single bar graphs, line plots, picture graphs, and Venn diagrams. (1.4, 1.7) Algebraic Relationships F.a:1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (1.1, 1.2, 1.5, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12, 1.15, 1.19) F.a:2 Represent patterns and relationship with pictures, tables, and charts. (1.1, 1.2, 1.4, 1.5, 1.6, 1.8, 1.9, 1.10, 1.11, 1.15) F.a:3 Describe a rule that explains a functional relationship or pattern using addition, subtraction, or multiplication rules. (1.8, 1.10, 1.12) F.b:5 Solve simple one-step open sentences involving all operations in context. (1.4, 1.5, 1.10, 1.11, 1.12, 1.22) F.b: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 (1.8, 1.9, 1.14) 3

4 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. (1.6) F.b:8 Represent problem situations with one-step equations involving multiplication and division with simple open sentences. (1.6, 1.7, 1.8, 1.9) F.b:9 Represent problem situations with one-step equations or expressions using one of the four operations (1.6, 1.7, 1.8, 1.9, 1.15, 1.18) F.c:10 Use the commutative property of multiplication with positive single digits. (1.2, 1.12, 1.13) 4

5 Unit A 8 days Unit A Perimeter and Area A.1 Square Units and Area (G) A.2 Perimeter and Area (G) A.3 Area of Right Triangles and Parallegrams (G) A.4 The Area of Any Triangle (NO&R,G,M,AR) A.5 Consolidate Perimeter and Area (NO&R,G,M,AR) A.6 Customary Units of Length (NO&R,G,M,AR) Number 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. (A.4, A.5, A.6) Geometry #3 Describe, compare, and classify two-and threedimensional figures according to their properties including symmetry (A.1, A.2, A.3, A.4, A.5, A.6) 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. (A.4, A.5, A.6) Algebraic Relationships #10 Use symbols to represent problem situations and use properties and order of operations to solve equations involving all operations. (A.4, A.5, A.6) 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.) (A.4, A.5, A.6) B.b:10 Use all operations in everyday situations to solve single or multi-step word problems.( A.4, A.5, A.6) B.b:13 Solve problems using basic multiplication and division facts. (, A.4, A.5, A.6) B.b:16 Determine reasonableness of answers. (A.1, A.2, A.3, A.4, A.5, A.6) 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. (A.1, A.2, A.3, A.4, A.5, A.6) C.b:3 Use pattern blocks and dot paper (geoboards) to describe, model, and construct plane figures. (A.1, A.2, A.5) 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) (A.1) C.b:6 Discern a shape with one line of symmetry. (A.1) MPS Measurement CABS #11 MPS Algebraic Relationships CABS #5, #6 and #7 5

6 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. (A.4) D.c:9 Determine perimeter and area of regular shapes and the area of plane rectangular shapes. (A.4, A.5, A.6) D.c:10 Determine perimeter and area of irregular shapes when given a reference tool such as a grid. (A.6) Algebraic Relationships 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. (A.6) F.b:8 Represent problem situations with one-step equations involving multiplication and division with simple open sentences. (A.4, A.5) F.c:10 Use the commutative property of multiplication with positive single digits. (A.4, A.5) 6

7 Unit 2 26 days Unit 2 Addition and Subtraction With Whole Numbers and Decimals 2.1 Thousands to Thousandths(NO&R, AR) 2.2 Equate and Compare(NO&R, AR) 2.3 Use Decimal Numbers(NO&R, AR) 2.4 Billions to Billionths(NO&R, AR) 2.5 Use Place Value(NO&R, AR) 2.6 Add Whole Numbers and Decimals(NO&R, AR) 2.7 Addition to Millions 2.8 Subtract Whole and Decimal Numbers(NO&R, AR) 2.9 Place Value Word Problems 2.10 Properties and Strategies(NO&R, AR) 2.11 Pictographs With Large Numbers 2.12 Round Numbers on Graphs 2.13 Bar Graphs and Rounding 2.14 Introduce Line Graphs Number Operations and Relationships #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 (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, 2.14, 2.15, 2.16, 2.17, 2.18, ) Algebraic Relationships #9 Represent and extend patterns and describe rules for functional relationships (2.8) Algebraic Relationships #10 Use symbols to represent problem situations and use properties and order of operations to solve equations involving all operations (2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.10 Number Operations and Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000,000 (2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.11, 2.12, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20, 2.21) B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base ten blocks), number lines, arrays, expanded forms (243= ), and symbolic renaming e.g., 243=250-7 (2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9) B.a:3 Compare and order numbers less than 10,000 represented in numbers, arrays, symbols (<, >, =) and words (2.10) 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 (2.12, 2.13, 2.14, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20, 2.21 ) B.b:12 Add and subtract decimals in the context of money. (2.20) B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. (2.20) B.b:16 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, 2.14) MPS Number Operations and Relationships CABS #2, #7A, #11, #12A and #12B 7

8 Unit 2 Addition and Subtraction With Whole Numbers and Decimals (cont.) 2.15 Graphs With Decimal Numbers 2.16 Classify Word Problems 2.17 Situation and Solution Equations 2.18 comparison Problems 2.19 Two-Step Word Problems 2.20 Estimate with Real- World Situations 2.21 Problem Solving with Larger Numbers Algebraic Relationships F.b.2 Represent patterns and relationship with pictures, tables, and charts (2.8) F.b:6 Demonstrate a basic understanding of equality and inequality using symbol (<, >, =) with all operations. (2.10) 8

9 Unit B 7 days Unit B Classification and Measurement of Triangles B.1 Name Angles (G) B.2 Name Triangles (G) B.3 Triangles and Diagonals (G) B.4 Perimeter and Area of Triangles (G,M) B. 5 Pattern Day (Activity Day) Geometry #3 Describe, compare, and classify two-and threedimensional figures according to their properties including symmetry. (B.1, B.2, B.3,B.4) 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. (B.4) 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. (B.1, B.2, B.3, B.4) Measurement D.c:9 Determine perimeter and area of regular shapes and the area of plane rectangular shapes. (B.4) MPS Measurement CABS #11 9

10 Unit 3 23 days Unit 3 Multi- Digit Multiplication 3.1 Multiplication Arrays (NO&R, M) 3.2 Mental Math Multiplication 3.3 Model One-Digit by Two-Digit Multiplication 3.4 Estimate Products 3.5 Methods of One-Digit by Two-Digit Multiplication 3.6 Discuss Different Methods 3.7 One Digit by Threedigit Multiplication 3.8 Practice One-Digit by Three Digit Multiplication 3.9 Too Much or Too Little Information 3.10 Solve Multi-Step Word Problems 3.11 Two-Digit by Two- Digit Multiplication 3.12 Different Methods for Two-Digit Multiplication Number Operations and Relationships #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. (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) 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. (3.1) 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= ), and symbolic renaming e.g., 243= (3.1, 3.2, 3.3, 3.4,3.5, 3.6, 3.7,3.8, 3.11, 3.12, 3.13, 3.14,3.15, 3.16) 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.) (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) B.b.: 13 Solve problems using basic multiplication and division facts. (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) 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. (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) B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context. (3.4, 3.8) B.b:10 Use all operations in everyday situations to solve single or multi-step word problems. (3.9, 3.10) MPS Number Operations and Relationships CABS #3a, #3b, #5, #7a, #7b and #7c 10

11 Unit 3 Multi- Digit Multiplication (cont.) 3.13 Check Product of Two-Digit Multiplication 3.14 Practice Multiplication 3.15 Multiplication With Hundreds 3.16 Multiplication With Thousands 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. (3.1) 11

12 Unit C 5 days Unit C The Metric Measurement System C.1 Measure Length and Distance (M) C.2 Measure Area(M) C.3 Measure Volume and Capacity(M) C.4 Measure Mass(M, S&P) C.5 Measure Temperature(M) 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.(c.1, C.2, C.3, C.4, C.5) 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.(c.4) 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. (C.1, C.2, C.3, C.4, C.5) D.a.2 Compare attributes of length and weight by direct observation or when given actual measurements. (C.1, C.3, C.5) 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). (C.1, C.2, C.3, C.4) 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. (C.1, C.3, C.4) D.c.10- Determine perimeter and area of irregular shapes when given a reference tool such as a grid.(c.2) Statistics and Probability E.a:3 Draw reasonable conclusions based on contextual data.(c.4) E.a:5 Read and interpret information from single bar graphs, line plots, picture graphs, and Venn diagrams.(c.4) MPS Measurement CABS #2, #3, #6 and #8 MPS Statistics and Probability CABS #1 12

13 Unit 4 14 days Unit 4 Multi-Digit Division 4.1 Find the Unknown Factor 4.2 Divide Thousands 4.3 Divide by Numbers Other Than Just-Under Quotient Digits 4.5 Estimate to Check Quotients 4.6 Make Sense of Remainders 4.7 Problem Solving 4.8 Averages (NO&R,SP) Number Operations and Relationships #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, 4.7,4.8) 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.(4.8) Number Operations and Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 1,000,000. ( 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,4.7,) B.a:2 Read, write, and represent numbers using words, numerals, pictures (e.g., base ten blocks), number lines, arrays, expanded forms (243= ), and symbolic renaming e.g., 243= ( 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,4.7,) 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.) ( 4.1, 4.2, 4.3, 4.4, 4.5,4.6,4.7, 4.8, ) B.b:10 Use all operations in everyday situations to solve single or multi-step word problems.(4.7, 4.8) 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( 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,4.7, 4.8 ) B.b.:13 Solve problems using basic multiplication and division facts( 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, ) B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context.(4.5) Statistics and Probability 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.(4.8) MPS Number Operations and Relationships CABS #1a, #4, and #11 13

14 Unit D 6 days Unit D Polygons and Circles D.1 Polygons (G) D.2 Circles (G) D.3 Explore Circle Graphs D.4 The Passing of (M) D.5 Graphing Day Number Operations and Relationships # 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. (D.3) Geometry #3 Describe, compare, and classify two-and threedimensional figures according to their properties including symmetry. (D.1, D.2) 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. ( D.4) Number Operations and Relationships 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. (D.3) 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. ( D.1, D.2) Measurement D.c:9 Determine perimeter and area of regular shapes and the area of plane rectangular shapes.(d.1) D.b:6 Translate time on an analog clock to digital clock and vice versa. (D.4) D.b:7 Determine and compare elapsed time in problemsolving situations.(d.4) MPS Geometry CABS #1 MPS Measurement CABS #4 and #5 14

15 Unit 5 24 days Unit 5 Fractions 5.1 Understand Fractions 5.2 Fraction Partners of One Whole 5.3 Compare Fractions 5.4 Fractions of Different- Size Wholes 5.5 Add and Subtract Fractions With Like Denominators 5.6 Mixed Numbers and Improper Fractions 5.7 Add and Subtract Mixed Numbers With Like Denominators 5.8 Practice With Fractions 5.9 Simplify Fractions 5.10 Add Fractions With Unlike Denominators 5.11 Compare and Subtract Fractions With Unlike Denominators 5.12 Discover Probability(S&P) Number Operation and Relationships #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.(5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8,5.9, 5.10, 5.11, 5.12, 5.14, 5.15, 5.16, 5.17,5.18, 5.19) Number Operations and Relationships #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.(5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.14, 5.15, 5.16, 5.17, 5.18, 5.19) MPS Learning Target- Statistics and Probability #8 Describe, predict, and test outcomes of simple events and determine the likelihood and fairness of events. (5.12, 5.13) Number Operations and Relationships B.a:6 Read, write, and identify equivalent fractions (1/4s, 1/2s, 1/8s, 1/10s, 1/16s). (5.6,5.9, 5.10, 5.18, 5.19) 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.(5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.14, 5.15, 5.16, 5.17, 5.18, 5.19 ) B.a:8 Order and compare fractions (1/4s, 1/2s, 1/8s, 1/10s, 1/16s) represented numerically or as models (including parts of a set and parts of a whole). (5.3, 5.4, 5.8, 5.12,5.17, 5.18, 5.19 ) B.a:9 Rename improper fractions to mixed numbers. (5.6, 5.7, 5.8, 5.11, 5.14, 5.15,5.16, 5.18, 5.19) B.b:13 Solve problems using basic multiplication and division facts. (5.14, 5.15, 5.16, 5.17, 5.19) B.b:14 Add and subtract fractions with like denominators. (5.1, 5.2, 5.3, 5.5, 5.6, 5.7, 5.8, 5.10, 5.11, 5.14, 5.15, 5.16, 5.19) Statistics and Probability E.b:7 Determine if future events are more, less, equally likely, impossible, or certain to occur. (5.12, 5.13) 15

16 Unit 5 Fractions (cont.) 5.13 Probability Day(S&P) 5.14 Practice Wit Unlike Denominators 5.15 Multiply a Fraction by a Whole Number 5.16 Fractions of Whole Numbers 5.17 Fractions Comparisons 5.18 Fractions on the Number Line 5.19 Practice With Fractions 16

17 Unit E 4 days Unit E Properties of Three Dimensional Figures E.1 Sphere and Cubes(G) E.2 Prisms and Cylinders(G) E.3 Compare and Contrast Solids(G) MPS Learning Target Geometry # 3 Describe, compare, and classify two-and threedimensional figures according to their properties including symmetry.(e.1, E.2, E.3) MPS Learning Target Geometry # 4 Identify and describe figures constructed from blocks, nets, and transformations.(e.1, E.2, E.3) 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. (E.2, E.3) C.a:2 Determine the number of faces, edges and vertices given an illustration of a 3-dimensional figure. (E.1, E.2, E.3) C.b:4 Identify cubes, rectangular and triangular prisms, and rectangular and triangular pyramids from simple nets (flat patterns). (E.1, E.2, E.3) C.b:7 Identify and describe 3-dimensional shapes from multiple perspectives. (E.1, E.2, E.3) MPS Geometry CABS #!, #2, #4a, #4b, #5, #6, and #7 17

18 Unit 6 12 days Unit 6 Understand Numbers 6.1 Explore Decimal Numbers 6.2 Sequential Decimal Numbers 6.3 Relating Whole Numbers and Decimals 6.4 Number Lines and Rounding 6.5 Compare Decimal Numbers 6.6 Practice With Decimal Numbers 6.7 Add Decimal Numbers 6.8 Subtract Decimal Numbers 6.9 Estimate With Decimal Numbers 6.10 Mixed Practice With Decimals MPS Learning Target Number Operation and Relationships #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.(6.1, , 6.5, 6.6, 6.7, 6.8, 6.9, 6.10) Number Operation 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= ), and symbolic renaming e.g., 243= (6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10) B.a:5 Read, write, represent, count, compare, and order, and make change using a collection of coins and bills equal to and less than $20.00.(6.1, 6.2, 6.3, 6.6, 6.9) 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. (6.1, 6.2, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 6.10) B.a:9 Rename improper fractions to mixed numbers. (6.3) B.a:14 Add and subtract fractions with like denominators. (6.7, 6.8, 6.9,6.10) B.b:15 Estimate: multiplication of two-digit by one-digit problems, addition and subtraction of decimals using money, and division in context.(6.9) MPS Number Operations and Relationships CABS #8, #9 and #15 18

19 Unit F 4 days Unit F The U.S. Customary System F.1 Length(M) F.2 Square and Cubic Measurement(M) F.3 Weight(M) F.4 Capacity(M) F.5 and Temperature(M) F.6 Estimation Day(M) 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.(f.1, F.2, F.3, F.4, F.5, F.6) 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. (F.1, F.2, F.3, F.4, F.5) D.a:2 Compare attributes of length and weight by direct observation or when given actual measurements. (F.3, F.4) 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). (F.1, F.2, F.3, F.4, F.5) D.c:8 Estimate measurement using U.S. customary and metric measurements. (F.1) D.b:5 Read thermometers to the nearest five degrees F/C and read a scale to the nearest ounce or five grams. (F.5) D.b:6 Translate time on an analog clock to digital clock and vice versa.(f.5) D.b:7 Determine and compare elapsed time in problemsolving situations. ( F.5) D.c:9 Determine perimeter and area of regular shapes and the area of plane rectangular shapes( F.2) 19