Mathematics Geometry and Measurement Grade 5

Grade 5 In the Area of: Geometry & Measurement
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Identify circumference of a circle.	- Provide a variety of circles that can be measured with circumference and diameter. - Brainstorm with students examples of circles within class or school. - Use graph paper to show perimeter outside and inside circle.	- Experiment by measuring a variety of circles that can be measured with circumference and diameter. - Measure diameters of: flashlight, dog dish, bicycle tire, baseball cap, CD disk, cereal bowl. - Multiply x pi to find circumference.	Make a chart comparing the circumference and the diameter. Use a compass to create specific sized circles and then apply formula to find circumference. Ex: 1" circle, 2", etc.	- Translate measurement of real objects to abstract concept. - Relate to science concepts of surface area of wheels and distribution of weight. - Research early mathematician to find out who worked with circles.	- Compass - Com. graph paper.
Grade 5 In the Area of: Geometry & Measurement
2	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Identify polygon types up to a decagon.	Provide a variety of geometric shapes in the classroom. Conduct a Geometry Scavenger Hunt.	- Take part in a geometry scavenger hunt. - Sort and classify shapes according to determined attributes.	Ability to correctly identify shapes on an on-going basis.	- Develop a chart comparing number of sides of shapes with names. - All Eyes on Math activity.	- Polygon Tiles. - Creative Publications. - Geometry Templates. - Using Geometry, Great Sources. - Zounds!, p.90.
Grade 5 In the Area of: Geometry & Measurement
3	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Identify specific types of quadrilaterals: rhombus, parallelogram, trapezoid.	- Introduce vocabulary necessary to compare and contrast different quadrilaterals. - Draw pictures using these shapes: My Geometry World.	- Make poster of geometric shapes and show actual places where shapes are used. - Use terms correctly in every day math work. - Use tangrams to create quadrilateral or other specific polygon.	Select two different quadrilaterals and write a comparison of them in math journal.	- Draw pictures using the basic quadrilaterals shapes. - Locate quadrilaterals on U. S. map.	- Polygon Tiles. - Creative Publications. - Tangrams. - U. S. Map.
Grade 5 In the Area of: Geometry & Measurement
4	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Measure, calculate perimeter of regular polygons with a variety of measurements. (fractions, decimals, whole numbers.)	Use graph to illustrate all possible rectangles within a specific perimeter.	Measure a variety of objects (first estimate) using perimeter.	Students work individually to make 6 different quadrilaterals using only 1 hexagon, 3 parallelograms, 3 trapezoids, and 2 triangles. Draw.	Find objects in the classroom with a given perimeter. Ex: 42" (notebook).	- Tiles, grid paper. - Pattern Blocks & Connections, Gr. 5, p. 64-67. - Geoboards. - Moving on with Geoboards.
Grade 5 In the Area of: Geometry & Measurement
5	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Calculate the area of squares and rectangles with a variety of measurements. (i.e., fractions, decimals, whole numbers) using manipulatives.	- Identify terms used with geoboards. - Play Treasure Hunt. Find classroom objects that have given area. Ex: 14 sq. in. = cover of small notepad.	-Measure the area of a variety of objects. Translate measurements into scaled drawings of shape.	Find area on figure with unusual shape.	- Find object in the classroom with a given area. Ex: 14 sq. in. (small notepad) - Measure area of polygons other than quadrilaterals. - Use geoboard to find 16 shapes made by using only squares.	- 20 Thinking Questions for Geoboards, Creative Publications. - Connections, Grade 5. - Creative Publications.
Grade 5 In the Area of: Geometry & Measurement
6	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Demonstrate the relationship between radius, diameter and circumference through concrete models/ activities.	Demonstrate by modeling the terms: radius diameter circumference using classroom wastebasket (or other circular object).	Make a chart of radius, diameter, circumference of objects and then compare the measurements to the diameter.	Students must successfully identify the relationship between the three terms.	Research early mathematicians to find out who experimented and worked with circles. Prepare presentation to share with appropriate audience.
Grade 5 In the Area of: Geometry & Measurement
7	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Identify, develop concepts and multiple lines of symmetry with mirrors, computer geoboards, etc.	Model concepts using appropriate vocabulary and manipulatives.	Use computer graphics program to draw and label lines of symmetry.			- Spatial Problem Solving. - Cuisinare Company of America.
Grade 5 In the Area of: Geometry & Measurement
8	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Compare angles to right angles.	Discuss objects that have angles in our everyday life (piece of cake, opened car door, legs of chairs, etc.).	- Use a map, protractor, ruler and instruction to draw angles using previous line segment. - Make constructions using given angles.	Check constructions on geoboards.	- Look for examples of acute, right and obtuse angles in their home life, out of school. - Research and report on Leaning Tower of Pisa.	Moving On with Geoboards, Creative Publications.
Grade 5 In the Area of: Geometry & Measurement
9	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop patterns resulting from reflections, rotations, and translations of figures.	Model with grid and overhead pattern blocks using appropriate terms to describe patterns.	Explore pattern making templates to demonstrate and then copy examples of reflection rotation translations		Investigate designs created from tessellations. Prepare a presentation for an appropriate audience.	- TesselMania, MEEC. - Triazle, MEEC.
Grade 5 In the Area of: Geometry & Measurement
10	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Differentiate acute, obtuse, right angles.	- Discuss applications of angles in real life. - Model correct use of protractor.	Use protractor to draw angles of specified size. Label.		In the Land of the Pharaohs activity.	- Circle Protractors. - Protractors. - Zounds!, p.93.
Grade 5 In the Area of: Geometry & Measurement
11	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Construct circles given radius.	Will show students how to use: standard compass Safe-T compass or triman compasses.	Using compass and ruler student draws circle of given radius. Partner checks for accuracy. Switch roles.	Student assessments of partner.	- Create tessellation's by dividing circle into parts by over-lapping and intersecting other lines. - Make a bull's eye target by drawing concentric circles.	- Compass. - Drawing paper.
Grade 5 In the Area of: Geometry & Measurement
12	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	- Convert, compute, compare, develop common units of measure with the same measurement system. - Give reasonable estimates of length, weight, and capacity.	Model the estimation of length, weight, volume of common objects and then compute exact measurements. Relate metric system to decimals.	- Make a Table of Equivalent Measures. - Estimate common objects (ex: pencil, bike, etc.) and relate to metric measures and standard units.		- What units of measure are changed? - Math Journal activity.	- NCTM Addenda Series: Measurement in Middle Grades, Gr. 5 - 8 pp. 15-20. - Zounds!, p. 89.