**Fifth Grade**

**Strands:** **Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra**

**COMPETENCY GOAL 1:** **The learner will understand and compute with non-negative rational numbers.**

**Objectives**

**1.01** Develop number sense for rational numbers 0.001 through 999,999.

- Connect model, number word, and number using a variety of representations.

http://nlvm.usu.edu/en/nav/frames_asid_152_g_2_t_1.html - Build understanding of place value (thousandths through hundred thousands).

http://nlvm.usu.edu/en/nav/frames_asid_152_g_2_t_1.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/thenumbersystem.shtml

http://www.oup.com.au/__data/assets/file/0019/154045/Numberline.swf - Compare and order rational numbers.

http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/thenumbersystem.shtml

http://www.amblesideprimary.com/ambleweb/mentalmaths/guessthenumber.html

http://www.bbc.co.uk/skillswise/numbers/wholenumbers/whatarenumbers/comparing/flash1.shtml

http://www.interactivestuff.org/sums4fun/switch.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/decimals.shtml

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/.shtml

http://enlvm.usu.edu/ma/nav/activity.jsp?sid=__shared&cid=emready@place_value&lid=4

http://www.mathsonline.co.uk/nonmembers/gamesroom/awards/awardc.html - Make estimates of rational numbers in appropriate situations.

**1.02** Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/index.htm

- Develop and analyze strategies for adding and subtracting numbers.

http://www.eduplace.com/kids/mw/swfs/faf_grade5.html - Estimate sums and differences.
- Judge the reasonableness of solutions.

**1.03** Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

http://www.mathplayground.com/Wangdoodles.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/percentages.shtml

http://www.amblesideprimary.com/ambleweb/mentalmaths/buttons.html

http://www.sums.co.uk/playground/c4a/playground.htm

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**COMPETENCY GOAL 2:** **The learner will recognize and use standard units of metric and customary measurement.**

**Objectives**

**2.01** Estimate the measure of an object in one system given the measure of that object in another system.

**2.02** Identify, estimate, and measure the angles of plane figures using appropriate tools.

http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/angles.shtml

http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html

http://www.crickweb.co.uk/assets/resources/flash.php?&file=angle

**COMPETENCY GOAL 3:** **The learner will understand and use properties and relationships of plane figures.**

**Objectives**

**3.01** Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons.

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/shapes.shtml

http://www.crickweb.co.uk/assets/resources/flash.php?&file=triangles

**3.02** Make and test conjectures about polygons involving:

- Sum of the measures of interior angles.

http://www.amblesideprimary.com/ambleweb/mentalmaths/angleshapes.html - Lengths of sides and diagonals.
- Parallelism and perpendicularity of sides and diagonals.

**3.03** Classify plane figures according to types of symmetry (line, rotational).

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/transformation.shtml

http://www.crickweb.co.uk/assets/resources/flash.php?&file=Symm

http://www.haelmedia.com/OnlineActivities_txh/mc_txh4_001.html

http://www.teacherled.com/resources/mirror/mirrorload.html

http://www.teacherled.com/resources/symrotation/rotationsymload.html

**3.04** Solve problems involving the properties of triangles, quadrilaterals, and other polygons.

http://www.crickweb.co.uk/assets/resources/flash.php?&file=vpinboard4

- Sum of the measures of interior angles.

http://www.amblesideprimary.com/ambleweb/mentalmaths/angleshapes.html - Lengths of sides and diagonals.
- Parallelism and perpendicularity of sides and diagonals.

**COMPETENCY GOAL 4:** **The learner will understand and use graphs and data analysis****.**

**Objectives**

**4.01** Collect, organize, analyze, and display data (including stem-and-leaf plots) to solve problems.

http://nces.ed.gov/nceskids/createagraph/default.aspx

http://www.shodor.org/interactivate/activities/AdjustableSpinner/

http://www.shodor.org/interactivate/activities/StemAndLeafPlotter/

http://www.fedstats.gov/kids/mapstats/TableMap/Table_Map8_dlh.html

**4.02** Compare and contrast different representations of the same data; discuss the effectiveness of each representation.

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/interpretingdata.shtml

http://nces.ed.gov/nceskids/createagraph/default.aspx

http://www.fedstats.gov/kids/mapstats/TableMap/Table_Map8_dlh.html

**4.03** Solve problems with data from a single set or multiple sets of data using median, range, and mode.

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/modemedianmean.shtml

**COMPETENCY GOAL 5:** **The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.**

**Objectives**

**5.01** Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols.

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/numberpatterns.shtml

http://www.amblesideprimary.com/ambleweb/mentalmaths/numberlines.html

http://www.amblesideprimary.com/ambleweb/mentalmaths/supersequencer.html

http://www.bbc.co.uk/schools/ks2bitesize/maths/activities/mentalmaths.shtml

**5.02** Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems.

http://www.mathplayground.com/wangdoodles.html

**5.03** Identify, describe, and analyze situations with constant or varying rates of change.