**Fourth Grade**

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

**COMPETENCY GOAL 1:** ** The learner will read, write, model, and compute with non-negative rational numbers.**

**Objectives**

**1.01** Develop number sense for rational numbers 0.01 through 99,999.

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

http://www.haelmedia.com/html/cw_m54_002.html

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

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

http://www.harcourtschool.com/activity/elab2004/gr4/1.html - Compare and order rational numbers.

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

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 - d) Make estimates of rational numbers in appropriate situations.

**1.02** Develop fluency with multiplication and division:

- Two-digit by two-digit multiplication (larger numbers with calculator).
- Up to three-digit by two-digit division (larger numbers with calculator).
- Strategies for multiplying and dividing numbers.
- Estimation of products and quotients in appropriate situations.
- Relationships between operations.

**1.03** Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.

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

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

http://www.teacherled.com/resources/equivfrac/equivfracload.html

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

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

**1.04** Develop fluency with addition and subtraction of non-negative rational numbers with like denominators, including decimal fractions through hundredths.

- Develop and analyze strategies for adding and subtracting numbers.

http://www.mathplayground.com/thinkingblocks.html - Estimate sums and differences.
- Judge the reasonableness of solutions.

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

http://www.teacherled.com/resources/cellphone/cellphoneload.html

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**COMPETENCY GOAL 2:** ** The learner will understand and use perimeter and area.**

**Objectives**

**2.01** Develop strategies to determine the area of rectangles and the perimeter of plane figures.

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

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

**2.02** Solve problems involving perimeter of plane figures and areas of rectangles.

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

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

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

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

**COMPETENCY GOAL 3:** ** The learner will recognize and use geometric properties and relationships.**

**Objectives**

**3.01** Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.

**3.02** Describe the relative position of lines using concepts of parallelism and perpendicularity.

**3.03** Identify, predict, and describe the results of transformations of plane figures.

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

http://www.harcourtschool.com/activity/icy_slides_flips_turns/

http://www.mathsonline.co.uk/nonmembers/gamesroom/transform/golftrans.html

- Reflections.

http://nlvm.usu.edu/en/nav/frames_asid_206_g_1_t_3.html - Translations.

http://nlvm.usu.edu/en/nav/frames_asid_167_g_1_t_3.html - Rotations.

http://nlvm.usu.edu/en/nav/frames_asid_207_g_1_t_3.html

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

**Objectives**

**4.01** Collect, organize, analyze, and display data (including line graphs and bar graphs to solve problems.

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

**4.02** Describe the distribution of data using median, range and mode.

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

**4.03** Solve problems by comparing two sets of related data.

**4.04** Design experiments and list all possible outcomes and probabilities for an event.

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

**COMPETENCY GOAL 5:** ** The learner will demonstrate an understanding of mathematical relationships.**

**Objectives**

**5.01** Identify, describe, and generalize relationships in which:

http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ratioandproportion/ratio/game.shtml (click “Play the Game”)

http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ratioandproportion/ratio/flash1.shtml

- Quantities change proportionally.
- Change in one quantity relates to change in a second quantity.

**5.02** Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.

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

**5.03** Verify mathematical relationships using:

- Models, words, and numbers.
- Order of operations and the identity, commutative, associative, and distributive properties.