West-Orange Cove ISD Week 1 Mar 4 - 8 3rd Grade Mathematics – 5th Six Weeks Learning Standards 3.11 A Use linear measurement tools to estimate and measure lengths using standard units Instruction Major Concepts Linear measurement Resources enVision Math -Topic 16 Key Vocabulary: inch, foot, yard, mile, decimeter, millimeter, centimeter, meter, kilometer NOTE: Students should use the STAAR Math Chart Math background for teachers Before using standard units of measurement for length, use nonstandard units and engage students to estimate the length of different objects in the classroom. Objects have different attributes and some attributes are measureable. The length of any object can be used as a measurement unit for length, but a standard unit, such as an inch is always the same length. enVision Math Tools Technology: Pearson enVision link for animated introduction, journal writing, and review – copy and paste this link: https://www.pearsonsuccessnet.com 2012 - 2013 Processes: Problem Solving Model Thinking about learning and making connections Use accountable talk by using the language of mathematics Math Stations Assessment Interventions/Extensions Number fluency – all operations Formal enVision Topic 16 (length) Measurement – clocks, thermometers, rulers, yardsticks, meter sticks, tape measures Number Lines enVision Games Have students create their own set of vocabulary flash cards with visuals Begin this week by reviewing and discussing why we have standard units of measuring – customary system and metric system? Menus to practice money When teaching units – inches, feet, yards and millimeter, centimeter, meter provide practice opportunities and make connections to: Describe the inverse relationship between the size of the unit and the number of units needed to equal the length of an object such as the longer the unit, the fewer needed; the shorter the unit, the more needed; and (C) represent whole numbers as distances from any given location on a number line. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 1 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD Activity: Students will estimate and record to the half inch the following classroom items: Item Estimate – Units (inches) Actual – Units (inches) Estimate – Units (centimeters) Actual – Units (centimeters) Math book Student desk Spiral Box of markers Item 2012 - 2013 Interventions/Extensions Products/Projects Students will work in small group with teacher to practice measuring in inches and centimeters. Provide students with strips of paper that has been cut different lengths. Students will measure the strips of paper. Next ask students to show you the strip that is __---- inches long. Repeat. Students will estimate then measure and record 10 items from the classroom Math book Student desk Spiral Box of markers Compare – what do they notice? Why? TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 2 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD 2012 - 2013 Students will practice estimating and measuring: Item Estimate – Units (Feet) Actual – Units (Feet) Estimate – Units (Centimeters) Actual – Units (Centimeters) Width of door Window Edge of Teacher’s Desk Length of bulletin board Item Width of door Window Edge of Teacher’s Desk Length of bulletin board Item Estimate – Units (Meters) Actual – Units (Meters) Width of hallway Length of stage Length of classroom Width of gym TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 3 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD Estimate – Units (Meters) Item 2012 - 2013 Actual – Units (Meters) Width of hallway Length of stage Length of classroom Width of gym Activity: Scavenger hunt. Provide students with specific measurements and then let them find items in the classroom or around the school with the measurements. Their estimations and accuracy should be getting much better, if not clear up misconceptions. Estimate and Measure Length Use linear measurement tools such as yardsticks, meter sticks, and rulers to measure length. Prompt the students to use customary units to measure objects to the nearest inch. Example: Ask the students, “What is the length of the candle?” Answer: 2 inches Prompt the students to use metric units to measure objects to the nearest centimeter. Example: TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 4 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Ask the students, “What is the length of the eraser?” Answer: 2 centimeters Use standard units to estimate lengths. Prompt the students to estimate the length of objects using customary and metric measurements. Example: Ask the students, “What measurement, in inches, best describes the length of a sheet of notebook paper?” Possible Answer: 11 inches Example: Ask the students, “What is the best estimate, in centimeters, of the length of a small paper clip?” Answer: 3 centimeters Example: Prompt the students to predict objects with estimated lengths of 1 foot, 1 inch, 1 meter, or 1 centimeter. Possible Answers: The length of a small paper clip is about 1 inch, the length of a book is about 1 foot, the length of a desk is about 1 meter, and the width of a finger is about a centimeter. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 5 West-Orange Cove ISD Week 2 Mar 18 - 22 3rd Grade Mathematics – 5th Six Weeks Learning Standards 3.11 B Use standard units to find the perimeter of a shape 3.11 C Use concrete and pictorial models of square units to determine the area of a 2-dimensional surface (E) Identify concrete models that approximate standard units for capacity and use them to measure capacity 3.11 F Use concrete models that approximate cubic units to determine the volume of a given container or other three dimensional geometric figure Instruction Major Concepts Understanding perimeter Understanding area Estimating and measuring area Understanding volume Resources enVision Math -Topic 17 and 18 -2 Key Vocabulary: perimeter, area, square unit, volume, capacity, cup, pint, quart, gallon Math background for the teacher: The distance around a figure is its perimeter. The amount of space inside a shape is its area and is found in square units Connect area with the arrays students did in multiplication. Volume is a measure of the amount of space inside of a solid figure. Capacity is a measure of the amount of liquid a container can hold. Technology: Pearson enVision link for animated introduction, journal writing, and review – copy and paste this link: https://www.pearsonsuccessnet.com containers of different sizes and shapes measuring cups (all sizes) beans, rice, sand, and water for pouring Activity: Perimeter – Provide students with different sized shoe boxes, food, boxes, etc. Students will measure and find the perimeter of each. Area: Students will find the area of the above items (just one surface for area). Activity: Capacity Estimation Students will visualize the concept of capacity by estimating the capacity of various containers. The teacher shows students empty containers with the capacities of pint, quart, half-gallon and gallon. The teacher also shows students a large bowl holding one pint of cereal. Have students estimate how much TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day 2012 - 2013 Processes: Problem Solving Model Thinking about learning and making connections Use accountable talk by using the language of mathematics Math Stations Interventions/Extensions Number fluency – all operations Assessment Formal enVision Math Assessment Measurement – clocks, thermometers, rulers, yardsticks, meter sticks, tape measures Capacity measurement Center Number Lines enVision Games Have students create their own set of vocabulary flash cards with visuals Menus to practice money Page 6 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks cereal is in the bowl. Then, pour the pint of cereal into the different containers one at a time to eventually show the kids what a pint looks like. Then, the teacher will do the same for the other containers. This is a way for students to see what the different amounts look like with real objects. Activity: Contain yourself – students bring in different containers from home. Then students will use standard units of measurement (cups, pints, quarts, and gallon) to find out how much their containers hold. Make a chart to display the data. 2012 - 2013 Interventions/Extensions Products/Projects The teacher will provide students with shapes drawn on grid paper. Students will practice finding the area and perimeter of each. Students will make a book of measurement with definitions and examples Activity: Scavenger Hunt – students will explore the grocery store, their homes, and school to find things that come in cups, quarts, or gallons. Make a class chart to display the data. Length and Perimeter Use standard units to find the perimeter of a shape. Provide the students string, color tiles, centimeter cubes, paper clips, or other objects to use to measure the distance around an object or region. Example: Prompt students to place string around the perimeters of their desks, stretch the string out straight, then measure the length of the string to determine the perimeters of their desks. Example: Gloria needed to purchase border for the picture frame shown below. Use a ruler to measure the sides of the picture frame in inches. What is the perimeter of the picture frame to the nearest inch? TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 7 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Prompt the students to use 1-inch cubes or color tiles to represent the border around the picture frame. Relate color tiles or cubes to marks on a ruler. Measure the perimeter of the picture frame with a ruler or yardstick and compare. Answer: 24 inches Example: Sally measured the sides of her grandmother’s rectangular garden in steps. Two of the sides were 8 steps long, and two of the sides were 7 steps long. What is the perimeter of the garden in steps? Prompt the students to use a picture to represent the measurements of the garden or to act out the problem by stepping off the measurements in the classroom or on the playground. Prompt the students to determine the perimeter of the garden. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 8 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Answer: 30 steps Example: Alonzo measured the perimeter of a trapezoid and found it to be 17 inches. If two sides are 5 inches long and one side 4 inches long, what is the length of the remaining side? Prompt the students to add the lengths of the three sides and subtract the total from 17. Answer: 3 inches Area Of Two-Dimensional Surfaces Use concrete and pictorial models of square units to determine the area of two-dimensional surfaces. Example: Ask the students, “What is the area of the shape?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 9 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Prompt the students to determine the area of the two-dimensional surface by counting the number of square units inside the shape. Answer: 9 square inches. Example: Prompt the students to use concrete models such as square tiles to measure the area of their textbooks. Example: Prompt students to trace various objects on inch or centimeter grid paper to measure the area of the object. Example: Ask the students, “What is the area of the shaded portion of the figure?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 10 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Prompt the students to reproduce the figure using 1-inch square tiles or 1-inch squares of paper (some cut in half diagonally). Prompt the students to put two half-squares together to form a whole and then count the number of squares to determine the area of the figure. Prompt the students to count all of the whole-shaded square units. Prompt the students to count two half-shaded square units as one whole-shaded square unit. Answer: 23 square feet TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 11 West-Orange Cove ISD Week 3 March 26 - 29 3rd Grade Mathematics – 5th Six Weeks Learning Standards 3.11 D Identify concrete models that approximate standard units of weight/mass and use them to measure weight/mass 3.11 F Use concrete models that approximate cubic units to determine the volume of a given container or other three dimensional geometric figure Major Concepts Understanding capacity Understanding mass/weight Understanding volume Instruction Key Vocabulary: volume, cubic unit, capacity, cup, pint, quart, gallon, weight, ounce, pound, ton, milliliter, liter, mass, gram, kilogram Math background for the teacher: The weight of an object is a measure of how heavy it is. The mass of an object is how much matter is in it. Mass is measured by using a balance comparing a known amount of matter to an unknown amount of matter. Weight is measured on a scale. Students begin to grasp the concept of weight by holding objects and stating which is heavier or lighter. Teach students how to read a scale and a balance. Teach students the difference between a scale and a balance and when it is appropriate to use each. Resources enVision Math -Topic 18 Math Tools Technology: Pearson enVision link for animated introduction, journal writing, and review – copy and paste this link: https://www.pearsonsuccessnet.com Scales 2012 - 2013 Processes: Problem Solving Model Thinking about learning and making connections Use accountable talk by using the language of mathematics Math Stations Interventions/Extensions Number fluency – all operations Assessment Formal enVision Math Assessment Measurement – clocks, thermometers, rulers, yardsticks, meter sticks, tape measures Balances Capacity measurement Center Manipulatives to weigh Number Lines enVision Games Have students create their own set of vocabulary flash cards with visuals Menus to practice money TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 12 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Products/Projects Interventions/Extensions Students will work with the teacher to weigh and record the weight of items. Students will work with the teacher to find the mass of items using a balance. Students will make a chart to record the weight (estimated and actual) of items in the classroom. Identify Concrete Models that Approximate Standard Units of Weight/Mass Weight – the measure of the force (due to gravity) that is acting on an object. Mass – the measure of the amount of matter in an object. Identify concrete models that approximate standard units of weight/mass Example: Prompt the students to identify that a slice of bread has an approximate weight/mass equal to 1 ounce. Weight/Mass: Approximately 1 ounce Example: Prompt the students to identify that a loaf of bread has an approximate weight/mass equal to 1 pound. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 13 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD 2012 - 2013 Weight/Mass: Approximately 1 pound Example: Prompt the students to identify that a piece of paper has an approximate weight/mass equal to 1 gram. Weight/Mass: Approximately 1 gram Example: Prompt the students to identify that an encyclopedia has an approximate weight/mass equal to 1 kilogram. Weight/Mass: Approximately 1 kilogram Measure Weight/Mass Using Concrete Models that Approximate Standard Units of Weight/Mass Measure weight/mass using concrete models that approximate standard units of weight/mass. Example: TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 14 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Ask the students, “If a piece of paper has a weight/mass equal to approximately 1 gram, about how many grams equal the mass/weight of a peanut?” Prompt the students to determine the number of pieces of paper it takes to equal the weight/mass of the peanut. Possible Answer: 5 grams Example: Ask the students, “About how many ounces equal the weight/mass of a lime?” Prompt the students to use scales to determine the number of slices of bread needed to equal the weight/mass of a lime. Possible Answer: 3 ounces TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 15 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day 2012 - 2013 Page 16 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD Week 4 & 5 Apr 1 - 12 Learning Standards 3.8 Geometry and spatial reasoning. The student uses formal geometric vocabulary. The student is expected to (A) identify, classify, and describe two- and three-dimensional geometric figures by their attributes. The student compares two-dimensional figures, three-dimensional figures, or both by their attributes using formal geometry vocabulary. (3.9) Geometry and spatial reasoning. The student recognizes congruence and symmetry. The student is expected to (A) identify congruent two-dimensional figures; and (C) identify lines of symmetry in two-dimensional geometric figures. Instruction Major Concepts Identify 3-D/solid figures by name Identify 3-D/solid figures by attribute Identify shapes as they relate to three-dimensional figures Identify and classify polygons Identify and classify quadrilaterals Recognizes symmetry and congruence Resources enVision Math –Topic 14 and 15 Key Vocabulary: solid figure, polygon, rectangular prism, cube, pyramid, cylinder, cone, sphere, face, edge, vertex, vertices, point, triangle, side, octagon, quadrilateral, pentagon, hexagon, trapezoid, parallelogram, rectangle, rhombus, and square Math background for teacher: Geometry is the study of shapes in space and spatial relationships. Geometry connects to the students’ world around them. Although there is a hierarchy of instruction that progresses through 5 levels of instruction known as the van Hiele Levels (0 – 4). Levels 3 and 4 are typically taught at the high school level. o Level 0 – Visualization – classes of shapes o Level 1 – Analysis – Properties of shapes o Level 2 – Informal Deduction - relationships among properties o Level 3 – Deduction – deductive systems of properties o Level 4 – Rigor – analysis of deductive systems Students should recognize the difference between 1, 2, and 3 dimensional shapes. One dimensional shapes are lines – they only have length Two dimensional shapes have length and width (they are flat) Technology: Pearson enVision link for animated introduction, journal writing, and review – copy and paste this link: https://www.pearsonsuccessnet.com geometric figures pattern blocks tangrams Geoboards http://www.mathsisfun.com/s hape.html 2012 - 2013 Processes: Problem Solving Model Thinking about learning and making connections Use accountable talk by using the language of mathematics Math Stations Interventions/Extensions Number fluency – all operations Assessment Formal enVision Math Assessment Measurement – clocks, thermometers, rulers, yardsticks, meter sticks, tape measures Capacity measurement Center Number Lines enVision Games http://www.bgfl.org/bgfl/custo Have students create their m/resources_ftp/client_ftp/ks2 own set of vocabulary flash /maths/3d/index.htm cards with visuals http://www.mathplayground.c Menus to practice money om/geoboard.html TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 17 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks Three dimensional shapes have length, width, and depth (they are solids) Some shapes can be combined to make new shapes. Shapes can be decomposed into other shapes. 2012 - 2013 Interventions/Extensions Products/Projects Students will work with the teacher to identify attributes of shapes Students will make a chart to record shapes and attributes Activity: Shape sorts- (use geometric shapes file in the curriculum docs 2nd semester file) Students will randomly select a shape and tell their partner 3 interesting things they notice about it. Students will randomly select 2 shapes and tell their partner how they are alike and how they are different. Randomly assign each group a shape. The task is s for students to select all the other shapes that follow the same sorting rule as their assigned shape – based on a rule that students decide for example curved lines or straight lines, etc. . Students share their sorting rule with the class. Students then race to draw another shape that follows the same rule. What’s my shape? - Give one person in each group a shape in a folder or envelop. Other members of the group will ask them questions to guess the shape. The holder of the folder can only answer yes or no to attribute questions. Students asking the questions should put the shapes into piles based on the yes and no answers to narrow possibilities. Activity: Students use geoboards to make 2 dimensional shapes. Describe Two- and Three-Dimensional Geometric Figures Describe two- and three-dimensional geometric figures with attributes such as the number of sides and vertices. TAKS Mathematics Preparation Book: Grade 3, “Shapes and Solids.” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day TAKS Mathematics Preparation Book: Grade 3, “Shapes and Solids- Page 18 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks Prompt the students to describe attributes of two- and three-dimensional geometric figures. Evaluate.” TEXTEAMS Mathematics Institute Grades 3-5, “Geo-Solids Grab Bag.” Example: Ask the students, “How can this two-dimensional geometric figure be described?” 2012 - 2013 Rethinking Elementary Mathematics for Grades 3-5, “Sorting Task Cards: Sorting Containers.” TAKS Mathematics Preparation Book: Grade 3, “Objective 3: Geometry and Spatial Reasoning – Selected Response Questions.” www.mathbenchmarks.org Possible Answer: The hexagon has six sides, six vertices, and is a closed figure. Example: Ask the students, “What are the attributes and geometric terms that describe the two-dimensional geometric figure shown below?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 19 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Possible Answer: The square has 4 sides that are equal in length and 4 right angles. A square is a polygon because it is a closed figure made with straight lines. A square is a quadrilateral because it has 4 sides and 4 angles. A square is a parallelogram because it has 2 pairs of congruent sides and 2 pairs of parallel sides. A square is a rectangle because it has 4 right angles and 2 pairs of congruent sides. A square is a rhombus because it has 4 congruent sides. Example: Ask the students, “Which two-dimensional geometric figure best represents the shaded face on the three-dimensional geometric figure?” Answer: A triangle Describe three-dimensional geometric figures with attributes such as the number of faces, edges, and vertices. Prompt the students to describe the attributes of three-dimensional geometric figures, such as the number of faces, edges, and vertices. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 20 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Example: Ask the students, “How can we describe the number of faces, vertices and sides shown on the three-dimensional geometric figure?” Possible Answer: The three-dimensional geometric figure has 5 faces, 9 edges, and 6 vertices. Two faces are shaped like triangles, and 3 faces are shaped like rectangles. Identify Two- and Three-Dimensional Geometric Figures www.mathbenchmarks.org Identify two-dimensional geometric figures such as triangles, quadrilaterals, pentagons, hexagons, and octagons. Example: Display two-dimensional geometric figures, such as triangles, quadrilaterals, pentagons, hexagons, and octagons. Prompt the students to identify each two-dimensional geometric figure. Ask the students, “How can we identify each two-dimensional geometric figure?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 21 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Answer: Pentagon, Hexagon, and Quadrilateral/Parallelogram Identify quadrilaterals such as square-rectangles, rectangles, trapezoids, rhombi, and parallelograms. Example: Distribute a set of cards to the students that show the following twodimensional geometric figures: Square-rectangle, rectangle, trapezoid, rhombi, and parallelogram; distribute another set of cards with the names of each two-dimensional geometric figure. Prompt the students to match each two-dimensional geometric figure with its corresponding name. Sample cards: TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 22 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Identify three-dimensional geometric figures such as cones, cylinders, cubes, prisms, and pyramids. Example: Display three-dimensional geometric figures, such as cones, cylinders, cubes, prisms, and pyramids. Prompt the students to identify each threedimensional geometric figure. Ask the students, “How can we identify each three-dimensional geometric figure?” Answer: Square Pyramid, Rectangular Prism, and Cone Identify two- and three-dimensional geometric figures in everyday situations. Example: Give the students a list of two- and three-dimensional geometric figures and prompt the students to find objects in the classroom that have the same shape. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 23 West-Orange Cove ISD Possible Answers: Two- or ThreeDimensional Geometric Figures 1. Squarerectangle 1. Possible Two- or ThreeDimensional Geometric Figures Square-rectangle 2. Cylinder 3. Cube 4. Circle 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Classroom Object Border around chalkboard 2. Cylinder Glue stick 3. Cube Alphabet block 4. Circle Face of a clock TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 24 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Compare Two- And Three-Dimensional Geometric Figures By Their Attributes Compare two- and three-dimensional geometric figures using formal geometric vocabulary. Prompt the students to use attributes to compare two- and threedimensional geometric figures. Example: Ask the students, “How are the two-dimensional geometric figures alike, and how they are different?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 25 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD 2012 - 2013 Possible Answer: Both the rhombus and the trapezoid have 4 sides and 4 vertices. The rhombus has 2 pairs of parallel sides, but the trapezoid has only 1 pair of parallel sides. Example: Ask the students, “How can the three-dimensional geometric figures be arranged in order from the three-dimensional geometric figure with the least number of vertices to the three-dimensional geometric figure with the greatest number of vertices?” Answer: 0 vertices 1 vertex 6 vertices 8 vertices Use attributes of two- and three-dimensional geometric figures to create sets of examples and nonexamples. Example: Prompt the students to design a three-dimensional geometric figure that would NOT belong with the set of three-dimensional geometric figures. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 26 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Possible Answer: Identify Congruent Two-Dimensional Figures Identify congruent two-dimensional figures. TAKS Mathematics Preparation Book: Grade 3, “Congruence and Symmetry.” TEXTEAMS Mathematics Institute Grades 3-5, “Geoboard Activities Part 3.” Example: TAKS Mathematics Preparation Book: Grade 3, “Objective 3: Geometry and Spatial Reasoning – Selected Response Assessments.” www.mathbenchmarks.org Ask the students, “Which two-dimensional figures appear to be congruent? How do you know?” Answer: Figures 1, 4, and 5 are congruent because each figure is the same size and same shape. Example: Prompt the students to select the pair of two-dimensional figures that are TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 27 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 congruent and explain their thinking. 1. 2. 3. 4. Answer: Pair 1 is congruent because the figures are the same size and the same shape. Identify two-dimensional figures that are NOT congruent. Example: Ask the students, “Which set of two-dimensional figures are NOT congruent?” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 28 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Answer: The triangles are not congruent. Create Two-Dimensional Figures with Symmetry TEXTEAMS Mathematics Institute grades 3-5, “Geoboard Activities Parts 1 & 2.” TAKS Mathematics Preparation Book: Grade 3, “Congruence and Symmetry - Evaluate.” Rethinking Elementary Mathematics for Grades 3-5, “Pattern Block Task Card F: Symmetry.” TAKS Mathematics Preparation Book: Grade 3. “Objective 3: Geometry and Spatial Reasoning Selected Response Questions.” Use concrete models to create two-dimensional figures with lines of symmetry. Example: Prompt the students to select a concrete model such as a pattern block. Prompt the students to trace around the pattern block on paper. Prompt the students to fold the two-dimensional figure in half. Prompt the students to draw a line along the fold. www.mathbenchmarks.org Possible Pattern Block: Ask the students, “How do we know that we created a line of symmetry?” Possible Answer: “We know that we have a line of symmetry because when we folded the two-dimensional figure in half, the two halves we created are mirror images of each other.” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 29 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Example: Prompt the students to fold a piece of paper and draw a two-dimensional figure along the fold. Prompt the students to cut along the figure’s lines and then unfold the paper to see the cutout. Ask the students, “How do we know that we created a line of symmetry?” Possible Answer: “We know that we created a line of symmetry because each side of the two-dimensional figure is a mirror image of the other side.” TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 30 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Example: Provide the students with geoboards and rubber bands. Prompt the students to create two-dimensional figures with lines of symmetry. Possible Answers: TAKS Mathematics TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 31 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks Identify Lines of Symmetry TAKS Mathematics Preparation Book: Grade 3, “Congruence and Symmetry.” 2012 - 2013 Preparation Book: Grade 3, “Congruence and Symmetry – Evaluate.” Identify lines of symmetry in two-dimensional geometric figures. www.mathbenchmarks.org Example: Ask the students, “Does this two-dimensional geometric figure have a line of symmetry?” TEXTEAMS Mathematics Institute Grades 3-5, “The ABC’s of Symmetry.” TEXTEAMS Mathematics Institute Grades 3-5, “The Most Expensive Name.” Prompt the students to draw a vertical line down the center of the twodimensional geometric figure. Prompt the students to fold the two-dimensional geometric figure along the line. If the two sides of the two-dimensional geometric figure create a mirror image of each other, the figure has a line of symmetry. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 32 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 Answer: The two-dimensional geometric figure has a line of symmetry. Identify two-dimensional geometric figures that do NOT have a line of symmetry. Example: Ask the students, “Which two-dimensional geometric figure does NOT have a line of symmetry? How do you know?” A. D. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 33 West-Orange Cove ISD C. 3rd Grade Mathematics – 5th Six Weeks 2012 - 2013 E. Answer: Figure C does not have a line of symmetry because the vertical line does not divide the figure into 2 parts that are mirror images of each other. Identify symmetry in everyday two-dimensional geometric figures. Example: Prompt the students to identify the number of lines of symmetry in everyday two-dimensional geometric figures. Ask the students, “How many lines of symmetry does the letter “H” have? The pentagon? Answer: TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 34 West-Orange Cove ISD 3rd Grade Mathematics – 5th Six Weeks TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day 2012 - 2013 Page 35 3rd Grade Mathematics – 5th Six Weeks West-Orange Cove ISD Week 7 & 8 Apr 15 – 20 Learning Standards Major Concepts Review Review Apr 22 - 26 Instruction Resources 2012 - 2013 Processes: Problem Solving Model Thinking about learning and making connections Use accountable talk by using the language of mathematics Math Stations Assessment The next two weeks are to be used for review and STAAR testing. Remember to celebrate the students’ accomplishments. TEKS 3.14, 3.15, and 3.16 are incorporated into all concepts and taught every day Page 36