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SCOPE AND SEQUENCE |
MEASUREMENT AND GEOMETRY
X = TEACH / M = REINFORCE & MAINTAIN |
MEASURING OBJECTS |
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CONCEPTS |
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| Choose appropriate tools/units to measure or draw |
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Angles |
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parallel and perpendicular lines |
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polygons and circles |
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Precision/accuracy |
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LENGTH |
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Meaning linear measurement |
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Nonstandard units |
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Compare and order |
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Estimate |
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Customary units |
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measure to the nearest inch |
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measure to fractional part of an inch |
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Metric units |
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measure to the nearest centimeter |
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measure to the nearest millimeter |
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Relate units |
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choose appropriate units |
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Change units within a system |
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Compare/convert units between systems |
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Apply distance formula |
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CAPACITY |
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Meaning of capacity |
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Nonstandard units |
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Compare and order |
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Estimate |
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Customary units |
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Metric units |
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Relate units |
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choose appropriate units |
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Change units within a system |
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Compare/convert units between systems |
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WEIGHT/MASS |
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Meaning of weight/mass |
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Nonstandard units |
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Compare and order |
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Estimate |
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Customary units |
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Metric units |
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Relate units |
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choose appropriate units |
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Change units within a system |
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Compare/convert units between systems |
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TEMPERATURE |
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Meaning of temperature |
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Read a thermometer: Fahrenheit and Celsius |
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Meaning of negative numbers |
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Computing temperature changes |
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| Change units between systems: Fahrenheit/Celsius |
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MEASURING TIME |
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Concept of time |
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CLOCK |
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As tool to measure time |
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Sequence events |
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Identify the times of everyday events |
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Tell and show time |
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to the hour and half hour |
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to the quarter hour |
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to 5-minute and 1-minute intervals |
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A.M. and P.M. |
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| Relate minutes/hours, day/months, weeks/years |
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Estimate time |
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Elapsed time |
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Add and subtract units |
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Schedules |
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CALENDAR |
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As tool to measure time |
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Days of the week |
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Read |
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Elapsed time |
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PERIMETER |
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Meaning of perimeter |
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Measure |
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Add to find |
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Multiply and add to find |
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Apply formulas |
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square, rectangle, and compound figures |
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polygon/regular polygon |
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Use appropriate units of measure |
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CIRCUMFERENCE |
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Estimate |
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Meaning of circumference |
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Find diameter or radius |
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Meaning of pi |
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Apply formula |
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Compare calculated and estimated |
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AREA |
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Meaning of area |
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Estimate and measure with nonstandard units |
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Derive and apply formulas |
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squares, rectangles, and compound figures |
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parallelograms and triangles |
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trapezoids |
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circles |
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surface areas |
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nets |
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Use appropriate units of measure |
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Relate area and perimeter |
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SURFACE AREA |
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Meaning of surface area |
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Estimate and measure with nonstandard units |
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| Construct a cube and rectangular prism as patterns |
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Apply formulas |
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Prism |
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Pyramid |
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Use appropriate units of measure |
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VOLUME |
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Meaning of volume |
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Estimate and measure with nonstandard units |
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Estimate and measure |
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Apply formulas |
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Prisms |
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Pyramids |
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Cylinders |
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Compare formulas: rectangular prism/triangular prism/cylinder |
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Use appropriate units of measure |
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Relate perimeter, area, and volume |
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ANGLES |
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Compare to right angle (greater than, less than, equal to) |
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Identify and classify |
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right, acute, obtuse |
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| vertical, adjacent, complementary, supplementary |
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Relate to 1/4, 1/2 and 3/4 turns |
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Measure, draw, and construct |
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triangle: sum of measures of angles is 180° |
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rectangle: sum of measures is 360° |
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other polygons: sum of measures |
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ALGEBRAIC THINKING |
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Indirect measurement |
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similar figure applications |
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CONCEPTS |
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Position |
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Attributes |
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Sides, vertices, edges, and faces |
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Points, lines, segments, angles, rays |
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| parallel, perpendicular, and intersecting lines |
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Congruence |
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Symmetry |
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line (bilateral) |
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point (rotational) |
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Transformations |
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Similarity |
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SOLID FIGURES |
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Attributes and properties |
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Identify and describe common geometric objects |
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Identify, describe, and classify |
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sphere, pyramid, cube, prism |
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cone, cylinder |
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Represent and visualize |
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Build/take apart |
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Identify or draw different views |
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Make nets |
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Measure |
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volume |
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surface area |
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PLANE FIGURES |
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Attributes and properties |
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Triangle |
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| quadrilaterals (rect., square, parall., rhombus, trap.) |
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Identify and describe common geometric objects |
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Identify, describe, and classify |
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rectangle, square, triangle, circle |
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pentagon, hexagon, octagon |
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Represent and visualize |
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Build/take apart |
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Draw with appropriate tools |
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parallel and perpendicular lines |
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Angles |
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Rectangles |
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Triangles |
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quadrilaterals |
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Measure with appropriate tools |
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Angles |
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perimeter/circumference |
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Area |
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Parts of a circle (radius, diameter, chord, arc, central angle) |
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ALGEBRAIC THINKING |
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Formulas |
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Graphing figures |
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Scatterplots |
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Correlations |
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Similar figure applications |
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indirect measurement |
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SPATIAL SENSE |
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VISUAL THINKING |
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Patterns |
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Tessellations |
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Nets |
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Congruence |
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Symmetry |
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line (bilateral) |
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point (rotational) |
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Similarity |
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Transformations |
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translations, reflections, and rotations |
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Dilations |
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Representing |
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building, drawing 3-D figures |
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different views |
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Perspective |
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Networks |
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COORDINATE GEOMETRY |
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COORDINATE PLANE |
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Ordered pairs |
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Graph points and figures |
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Graph linear relationships |
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Graph equations |
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Relations and functions |
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Identify functions |
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linear functions |
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non-linear functions |
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Translations, reflections, rotations |
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