Delta RV Fifth Grade Math Curriculum Revised 2010

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1 Delta RV Fifth Grade Math Curriculum Revised 2010 Strand: Number and Operations GLE 1: Understand numbers, ways of representing numbers, relationships among numbers and number systems Read, write and compare numbers Read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line) MA Skill/Concept Using whole number, fraction and decimal cards, students will form a human number line ordering themselves greatest to least, orally reading their numbers B Students will: Represent and use rational numbers Recognize and generate equivalent forms of commonly used fractions and decimals C Students will: Compose and decompose numbers Recognize equivalent representations for the same number and generate them by decomposing and composing numbers MA MA5 1.6 Applicat ion Using graffiti technique, generate posters of equivalent fractions Play a memory type game matching numbers in different forms D Students will: Classify and describe numeric relationships Describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers MA Comprehension Play a number characteristic BINGO game 1

2 Strand: Number and Operations GLE 2: Understand meanings of operations and how they relate to one another Represent operations Represent and recognize division using various models, including quotative and partitive MA B Describe effects of operations Describe the effects of addition and subtraction on fractions and decimals MA Comprehen sion Using sets of numbers, students will write and solve addition and subtraction problems involving fractions and decimals 2

3 Strand: Number and Operations GLE 3: Compute fluently and make reasonable estimates Describe or represent mental strategies Describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350/7) MA Comprehension Given a problem, students will solve the problem and describe the mental strategy used to solve it B Develop and demonstrate fluency C Demonstrate fluency with efficient procedures for adding and subtracting decimals and fractions (with unlike denominators) and division of whole numbers MA1 1.6 Skill/Concepet Complete a timed test involving addition and subtraction with fractions and decimals Timed test sheet Compute problems D Apply and describe the strategy used to compute a division problem up to a 3- digit by 2-digit and addition and subtraction of fractions and decimals MA1 3.2 Using whiteboards, complete given problems involving division and addition and subtraction of fractions and decimals Estimate and justify solutions Estimate and justify products, and quotients of whole numbers and sums differences of decimals and fractions MA1 3.2 Work with partners to estimate given problems 3

4 Strand: Algebraic Relationships GLE 1: Understand patterns, relations and functions Make and describe generalizations about geometric and numeric patterns Recognize and extend patterns B Create and analyze patterns Represent and analyze patterns using words, tables and graphs MA4 1.6 MA4 1.6 Applicat ion Analysi s Work with partners to complete patterns and describe the rule to the pattern Students create pattern problems, then trade with classmates to solve and represent in a table or graph sheet Math: 5 th grade Strand: Algebraic Relationships GLE 2: Represent and analyze mathematical situations and structures using algebraic symbols Represent mathematical situations B Using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol MA4 3.2 Work with partners to write algebraic expressions for given word problems Describe and use mathematical manipulation Use the commutative, distributive and associative properties for fractions and decimals MA4 3.2 Work with partners to apply the different properties to given problems 4

5 Strand: Algebraic Relationships GLE 3: Use mathematical models to represent and understand quantitative relationships Use mathematical models Model problem situations and draw conclusions, using representations such as graphs, tables or number sentence MA4 1.6 Use pattern blocks to draw conclusions about a given pattern Strand: Algebraic Relationships GLE 4: Analyze change in various contexts Analyze change Identify, model and describe situations with constant or varying rates of change MA4 1.6 Given a table showing constant or varying rates of change, students will work with partners to identify, model and describe the situation 5

6 Strand: Geometric an d Spatial Relationships GLE 1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Describe and use geometric relationships Analyze and classify 2 and 3- dimensional shapes by describing the attributes MA Analysis Given a set of 2 and 3 dimensional shapes, analyze and describe the attributes of each shape C Students will: Compose and decompose shapes Predict and justify the results of subdividing, combining and transforming shapes MA2 1.6 Evalu taion Given a geometric shape, predict which tangram shapes would be combined to form the given geometric shape. Strand: Geometric and Spatial Relationships GLE 2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems Use coordinate Use coordinate systems to systems specify locations, describe paths and find the distance between points along horizontal and vertical lines MA Analysis Given a coordinate system, specify locations, describe paths and find the distance between points along horizontal and vertical lines 6

7 Strand: Geometric and Spatial Relationships GLE 3: Apply transformations and use symmetry to analyze mathematical situations Use Predict, draw and describe transformations the results of of objects sliding/translating, flipping/reflecting and turning/rotating around a center point of a polygon MA2 3.6 Synthesis Given a drawing of a figure and the figure after an action has been completed, the student will describe the results of the action C Students will: Use symmetry Identify polygons and designs with rotational symmetry MA2 1.6 Knowledge Given a set of geometric shapes, identify the polygons with rotational symmetry Strand: Geometric and Spatial Relationships GLE 4: Use visualization, spatial reasoning and geometric modeling to solve problems Recognize and Given a net of a prism or draw threedimensional dimensional shape cylinder, identify the 3- representations MA2 3.3 Synthesis Given a set of nets of geometric shapes, students will identify the 3-dimensional shapes demonstrated by the net 7

8 Strand: Measurement GLE 1: Understand measurable attributes of objects and the units, systems and processes of measurement Determine unit of measurement Identify and justify the unit of measure for area (customary and metric) MA2 3.1 Work with partners to identify and justify the best unit of measure for a variety of real-life situations B Students will: Identify equivalent measures identify the equivalent weights and equivalent capacities within a system of measurement MA2 1.6 Knowledg e Given a set of measurements, identify various equivalent weights and capacities 8

9 Strand: Measurement GLE 2: Apply appropriate techniques, tools and formulas to determine measurements C Students will: Apply geometric measurements Determine volume by finding the total number of the same size units needed to fill a space without gaps or overlaps MA Given a variety of 3-dimensional objects, students will work in small groups to determine volume by filling with cubes E Students will: Use relationships within a measurement system Convert from one unit to another within a system of linear measurement (customary and metric) MA Synthesis Given a set of distances, convert from one unit to another within a system of measure 9

10 Strand: Data and Probability GLE1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them Formulate Evaluate data-collection questions methods MA3 1.2 Have students collect data on favorites using different methods. Have students evaluate the validity and usability of the data collected by the various methods C Students will: Represent and interpret data Describe methods to collect, organize and represent categorical and numerical data MA3 1.2 Comprehensio n Have students collect data using different methods. Organize the data into the most appropriate organizer to represent both categorical and numerical data. Students will describe the data collection method chosen to represent this information. Strand: Data and Probability GLE2: Select and use appropriate statistical methods to analyze data Describe and Compare related data sets MA3 1.6 analyze data Given 2 similar graphs, compare the data and give reasons for its differences and similarities 10

11 Strand: Data and Probability GLE 3: Develop and evaluate inferences and predictions that are based on data Develop and evaluate inferences Given a set of data make and justify predictions MA Given a line graph depicting data covering a number of days, predict what would happen in the following days. Justify your predictions Strand: Data and Probability GLE 3: Use mathematical models to represent and understand quantitative relationships Apply basic concepts of probability Describe the degree of likelihood of events using such words as certain, equally likely and impossible MA Analysis Given spinners that have equal and unequal division or equal and unequal colors, describe the degree of likelihood of landing on any division or color by using the given terms 11

Houghton Mifflin MATHEMATICS Level 5 correlated to NCTM Standard

Houghton Mifflin MATHEMATICS Level 5 correlated to NCTM Standard s 2000 Number and Operations Standard Understand numbers, ways of representing numbers, relationships among numbers, and number systems understand the place-value structure of the TE: 4 5, 8 11, 14 17,