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• Number Sense
• Algebra and Functions
• Measurement and Geometry
• Statistics, Data Analysis and Probability
• Mathematical Reasoning

Measurement and Geometry

SCOPE AND SEQUENCE
MEASUREMENT AND GEOMETRY X = TEACH   /    M = REINFORCE & MAINTAIN
MEASURING OBJECTS	K	1	2	3	4	5	6
CONCEPTS
Choose appropriate tools/units to measure or draw			X	X	X	X	X
Angles						X	X
parallel and perpendicular lines						X	M
polygons and circles						X	M
Precision/accuracy						X	X
LENGTH
Meaning linear measurement	X	X	X	X	X	X	X
Nonstandard units	X	X	X	X	X
Compare and order	X	X	X	X	X	X	M
Estimate	X	X	X	X	X	X	M
Customary units		X	X	X	X	X	X
measure to the nearest inch			X	X	M	M	M
measure to fractional part of an inch					X	M	M
Metric units						X	X
measure to the nearest centimeter						M	M
measure to the nearest millimeter						X	X
Relate units			X	X	X	X	X
choose appropriate units			X	X	X	X	X
Change units within a system				X	X	X	X
Compare/convert units between systems							X
Apply distance formula							X
CAPACITY
Meaning of capacity	X	X	X	X	X	X	M
Nonstandard units	X	X	X	X
Compare and order	X	X	X	X	X	X	M
Estimate	X	X	X	X	X	X	M
Customary units			X	X	X	X	M
Metric units						X	M
Relate units				X	X	X	X
choose appropriate units				X	X	X	M
Change units within a system				X	X	X	X
Compare/convert units between systems							X
WEIGHT/MASS
Meaning of weight/mass	X	X	X	X	X	X	M
Nonstandard units	X	X	X	X
Compare and order	X	X	X	X	X	X	M
Estimate	X	X	X	X	X	X	M
Customary units			X	X	X	X	M
Metric units						X	M
Relate units				X	X	X	X
choose appropriate units				X	X	X	M
Change units within a system				X	X	X	X
Compare/convert units between systems							X
TEMPERATURE
Meaning of temperature				X	X	M	M
Read a thermometer:  Fahrenheit and Celsius				X	X	X	M
Meaning of negative numbers							X
Computing temperature changes					X	X	X
Change units between systems:  Fahrenheit/Celsius						X	X
MEASURING TIME
Concept of time	X	X	X	X	X	M	M
CLOCK
As tool to measure time	X	X	X	X	X
Sequence events	X	X	X	X	X
Identify the times of everyday events	X	X	X	X	M
Tell and show time
to the hour and half hour	X	X	X	X	M
to the quarter hour			X	X	M
to 5-minute and 1-minute intervals			X	X	X
A.M. and P.M.			X	X	X	M	M
Relate minutes/hours, day/months, weeks/years			X	X	M
Estimate time	X	X	X	X	M
Elapsed time			X	X	X	X
Add and subtract units			X	X	X	X
Schedules		X	X	X	X	X
CALENDAR
As tool to measure time	X	X	X	X	M	M
Days of the week	X	X	X	X	M
Read	X	X	X	X	X
Elapsed time			X	X	X	X
PERIMETER
Meaning of perimeter			X	X	X	X	X
Measure			X	X	X	X	X
Add to find			X	X	X	X	X
Multiply and add to find				X	X	X	X
Apply formulas							X
square, rectangle, and compound figures							X
polygon/regular polygon							X
Use appropriate units of measure					X	X	X
CIRCUMFERENCE
Estimate							X
Meaning of circumference							X
Find diameter or radius							X
Meaning of pi							X
Apply formula							X
Compare calculated and estimated							X
AREA
Meaning of area				X	X	X	X
Estimate and measure with nonstandard units				X	X	X	X
Derive and apply formulas							X
squares, rectangles, and compound figures							X
parallelograms and triangles						X	X
trapezoids							X
circles						X	X
surface areas						X	X
nets						X	X
Use appropriate units of measure						X	X
Relate area and perimeter				X	X	X	X
SURFACE AREA
Meaning of surface area							X
Estimate and measure with nonstandard units							X
Construct a cube and rectangular prism as patterns							M
Apply formulas							X
Prism							X
Pyramid							X
Use appropriate units of measure							X
VOLUME
Meaning of volume				X	X	X	X
Estimate and measure with nonstandard units				X	X
Estimate and measure							X
Apply formulas
Prisms							X
Pyramids							X
Cylinders							X
Compare formulas: rectangular prism/triangular prism/cylinder							X
Use appropriate units of measure							X
Relate perimeter, area, and volume							X
ANGLES
Compare to right angle (greater than, less than, equal to)				X	X	X	X
Identify and classify				X	X	X	X
right, acute, obtuse				X	X	X	X
vertical, adjacent, complementary, supplementary							X
Relate to 1/4, 1/2 and 3/4 turns					X	X	X
Measure, draw, and construct						X	X
triangle: sum of measures of angles is 180°						X	X
rectangle: sum of measures is 360°						X	M
other polygons: sum of measures						X	M
ALGEBRAIC THINKING
Indirect measurement							X
similar figure applications							X
CONCEPTS
Position	X	X	X
Attributes	X	X	X	X	X	X	X
Sides, vertices, edges, and faces		X	X	X	X	X	X
Points, lines, segments, angles, rays				X	X	X	X
parallel, perpendicular, and intersecting lines				X	X	X	X
Congruence		X	X	X	X	X	X
Symmetry		X	X	X	X	X	X
line (bilateral)		X	X	X	X	X	X
point (rotational)					X	X	X
Transformations						X	X
Similarity				X	X	X	X
SOLID FIGURES
Attributes and properties	X	X	X	X	X	X	X
Identify and describe common geometric objects	X	X	X	X	X	X	X
Identify, describe, and classify	X	X	X	X	M	M	M
sphere, pyramid, cube, prism	X	X	X	X	M	M	M
cone, cylinder	X	X	X	X	M	M	M
Represent and visualize	X	X	X	X	X	X	M
Build/take apart				X	X	X	M
Identify or draw different views						X	X
Make nets						X	X
Measure
volume				X	X	X	X
surface area						X	X
PLANE FIGURES
Attributes and properties	X	X	X	X	X	X	X
Triangle	X	X	X	X	X	X	X
quadrilaterals (rect., square, parall., rhombus, trap.)		X	X	X	X	X	X
Identify and describe common geometric objects	X	X	X	X	X	X	X
Identify, describe, and classify	X	X	X	X	X	X	X
rectangle, square, triangle, circle	X	X	X	X	X	X	X
pentagon, hexagon, octagon				X	X	X	X
Represent and visualize	X	X	X	X	X	X	X
Build/take apart			X	X	X	X	M
Draw with appropriate tools
parallel and perpendicular lines					X	X	X
Angles					X	X	X
Rectangles							X
Triangles							X
quadrilaterals							X
Measure with appropriate tools
Angles					X	X	X
perimeter/circumference				X	X	X	X
Area				X	X	X	X
Parts of a circle (radius, diameter, chord, arc, central angle)				X	X	X	X
ALGEBRAIC THINKING
Formulas				X	X	X	X
Graphing figures
Scatterplots							X
Correlations							X
Similar figure applications							X
indirect measurement							X
SPATIAL SENSE
VISUAL THINKING
Patterns	X	X	X	X	X	X	X
Tessellations				X	X	X	X
Nets						X	X
Congruence		X	X	X	X	X	X
Symmetry		X	X	X	X	X	X
line (bilateral)		X	X	X	X	X	X
point (rotational)				X	X	X	X
Similarity				X	X	X	X
Transformations
translations, reflections, and rotations					X	X	X
Dilations							X
Representing
building, drawing 3-D figures					X	X	X
different views						X	X
Perspective							X
Networks
COORDINATE GEOMETRY
COORDINATE PLANE
Ordered pairs				X	X	X	X
Graph points and figures					X	X	X
Graph linear relationships							X
Graph equations							X
Relations and functions							X
Identify functions
linear functions						X	X
non-linear functions
Translations, reflections, rotations							X

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