Grade 4 Unit 6 Exploring Measurement Mathematics Unit Goals – Stage 1 Number of Days: 33 Traditional: May 1 – June 15, 2017; Track B: June 9 – July 26, 2017 Unit Description: Unit 6 ends the year with an exploratory unit on measurement. Students build a conceptual understanding of the relative sizes of units of measure within a single system of measurement. They investigate measurement through the formulas for area and perimeter. Data is used to support students’ understanding of fractional measurement quantities both smaller and larger than 1. Students combine competencies from different domains to provide a context for problem solving. Materials: 1-inch grid paper, color pencils, rulers (centimeter and 12 inch), meter stick and yard stick, tape measures, analog clocks, balance scale with mass weights, beaker (marked for mL and L), digital scale (metric and customary units), and containers (gallon, quart, pint, and cup) and Go Math! MathBoard or whiteboard (Some of these are not provided, but suggested and can be checked out at the TRC Math & Science Resource Center) Standards for Mathematical Practice Transfer Goals Students will be able to independently use their learning to… SMP.1 Make sense of problems and • Make sense of never-before-seen problems and persevere in solving them. persevere in solving them. • Construct viable arguments and critique the reasoning of others. SMP.2 Reason abstractly and quantitatively. SMP.3 Construct viable arguments and Making Meaning critique the reasoning of others. UNDERSTANDINGS (U) ESSENTIAL QUESTIONS (Q) SMP.4 Model with mathematics. Students will understand that … Students will keep considering… SMP.5 Use appropriate tools strategically. • Measurements can be expressed in larger or • How are the units of measure within a SMP.6 Attend to precision. smaller units within a measurement system. standard system related? SMP.7 Look for and make use of structure. • Formulas can be used to find perimeter and • How can you find the perimeter and area of a SMP.8 Look for and express regularity in area for rectangles in the real world. rectangle? repeated reasoning. Standards for Mathematical Content Acquisition Clusters Addressed KNOWLEDGE (K) SKILLS Students will know… Students will be skilled at and/or be able to… Measurement and Data • The definitions of the academic vocabulary • Convert measurements from larger to smaller 4.MD.A Solve problems involving words such as capacity, convert, customary units. measurement and conversion of units, line plot metric units, and mixed • Record equivalent measurements in a two- measurements from a larger unit to a measures (e.g. 3 m 43 cm), and square inch.. column table. smaller unit. • The relative sizes of measurement units • Use the four operations to solve measurement 4.MD.B Represent and interpret data. within a single system of measurement word problems, including problems involving including yard (yd.), foot (ft.), inch (in), pound simple fractions and decimals. (lb.), ounce (oz.), gallon (gal), quart (qt.), pint • Represent measurement quantities using (pt.), cup (c), kilometer (km), meter (m), diagrams such as number lines that feature a centimeter (cm), kilogram (kg), gram (g), measurement scale. liter(L), milliliter(mL); hour (hr.), minute (min), • Use formulas to calculate perimeter and area and second (sec). of rectangles. • The formulas for finding perimeter and area of rectangles. LONG BEACH UNIFIED SCHOOL DISTRICT 1 Posted 6/14/16 New 2016 – 2017 Grade 4 Unit 6 Exploring Measurement Mathematics Assessed Grade Level Standards Standards for Mathematical Practice SMP.1 Make sense of problems and persevere in solving them. SMP.2 Reason abstractly and quantitatively. SMP.3 Construct viable arguments and critique the reasoning of others. SMP.4 Model with mathematics. SMP.5 Use appropriate tools strategically. SMP.6 Attend to precision. SMP.7 Look for and make use of structure. SMP.8 Look for and express regularity in repeated reasoning. Standards for Mathematical Content Measurement and Data [s] 4.MD.A Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two- column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36)… 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. [s] 4.MD.B Represent and interpret data. 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. Key: [m]= major clusters; [s] = supporting clusters; [a] = additional clusters LONG BEACH UNIFIED SCHOOL DISTRICT 2 Posted 6/14/16 New 2016 – 2017 Grade 4 Unit 6 Exploring Measurement Mathematics Evidence of Learning – Stage 2 Assessment Evidence Unit Assessment Students will complete selected response and constructed response items to indicate level of mastery/understanding of the unit standards as outlined in this guide. Measurement and Data [s] 4.MD.A • The student converts measurements from larger units to smaller units within a single system of units. • The student records measurement equivalents in a two-column table. • The student identifies measurement quantities from diagrams, such as number line diagrams that feature a measurement scale, and uses the information to solve word problems. • The student applies the area and perimeter formulas for rectangles to solve mathematical and real-world problems. [s] 4.MD.B • The student completes a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). • The student solves problems involving addition and subtraction of fractions with like denominators by using information presented in line plots. For selected content, students will need to… • Solve complex problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies. • Clearly and precisely construct viable arguments to support their own reasoning and critique the reasoning of others. Other Evidence Formative Assessment Opportunities • Opening Tasks • Exit slips • Go Math! Show What You Know • Quizzes • Classroom Challenges • Extension Menus • Go Math! Performance Task • It’s All About the Facts Supplemental materials • Homework (Go Math! Standards Practice Book) • In-class projects • Go Math! Getting Ready for the Smarter Balance • Recorded Teacher Observations • Go Math! Chapter 12 & 13 Test (Assessment Guide) • Writing activities • Go Math! Chapter 12 & 13 Review / Test – Student Book • SBAC Interim Assessment Block (IAB) Access Using Formative Assessment for Differentiation for suggestions. Located on the LBUSD website – “M” Mathematics – Curriculum Documents. LONG BEACH UNIFIED SCHOOL DISTRICT 3 Posted 6/14/16 New 2016 – 2017 Grade 4 Unit 6 Exploring Measurement Mathematics Learning Plan – Stage 3 Suggested Sequence of Key Learning Events and Instruction Core Resources: Supplemental Resources: Days Metas de Success Criteria Go Math! Books, Internet and Aprendizaje http://www-k6.thinkcentral.com Curriculum Intranet (LBUSD Math (Universal Access for SPED, Struggling Intranet - Instructional Tools - Elementary - Students, ELL, GATE) 4th Grade) Daily Sabré las • Saying facts orally. • Maintaining Fluency • Basic Facts Games: “How operaciones • Writing Fact Families. Through Fact Families, Many Rows? How Many in básicas de • Using them to play games. pp.1-10, 13-28 Each Row? matemáticas al… • Go Math! Strategies and https://www.youcubed.org/task/h Practice For Skills and ow-many-rows/ Facts Fluency Daily Usaré las • Participating in daily Number Talks. • Number Talks Strategies • Multiple Marker estrategias • Communicating my reasoning. and Problem Sets, Grades matemáticas 2-5 (also found on intranet mentales para in Instructional Tools) sumar, restar, multiplicar y dividir al… 90 Preservaré en la • Developing long term problem solving ST Math Objectives ST Math Tips minutes resolución de skills. • Measurement and • Access 'early finishers’ doc at per week problemas para • Visualizing math concepts. Conversions trs.stmath.com (use search (Schools/ ayudarme a • Making connections between concepts • Advanced Shapes box). grades entender las and across grades. • Regularly update homework with ST matemáticas al… • Playing interactive games. assignments under Math) Curriculum tab. • Celebrate JiJi success. Before the