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Grade 8 Math
|Idaho Department of Education
|Objective||Sub Objectives||Task Analysis||Essential Vocabulary||Sample Assessment|
|Standard 2: Concepts and Principles of Measurement|
Goal 2.1: Understand and use U.S.
customary and metric measurements.
|8.M.2.1.1 Select and use appropriate
units and tools to
make formal measurements in both systems.
|• Select and use appropriate units
and tools to make
formal measurements in both systems
|• determine appropriate customary and
metric units for
• use appropriate tools for measurement in customary
and metric system
|• capacity • volume • liter • meter •
gram • milli- • centi-
|• Measure the length of your pencil
to the nearest
• What unit of measure would you use to find the
capacity of a cereal box?
|8.M.2.1.2 Apply estimation of measurement to
and content problems using standard measuring
|• Apply estimation of measurement to real-world
content problems using standard measuring devices
|• select an appropriate unit of measure for the
• demonstrate magnitude of measurements
|• magnitude||• About how many meters long is a classroom?
• Which is more- a kilometer or a mile?
|8.M.2.1.3 Compare the differences and
among measures of perimeter, area, and volume
(capacity) within both systems.
|• Compare the differences and relationships among
measures of perimeter, area, and volume (capacity)
within both systems
|• identify linear units for perimeter, square
area, and cubic units for volume
|• perimeter • area • volume • capacity • square
cubic units • dimensions
|• Compare the perimeter and area of a square with
sides. What is the volume of a cube with the same
|8.M.2.1.4 Given the formulas, find the
perimeter, or area of triangles, circles, and
quadrilaterals, and the volume and surface area of
|• Calculate the circumference and area of circles
• Calculate perimeter and area of triangles and
quadrilaterals given formulas
• Calculate the volume and surface area of rectangular
prisms given formulas
|• select and apply formulas to determine
or area of circles given either diameter or radius
• produce answers in terms of pi and using
approximations of pi
• select and apply formulas for area and perimeter of
triangles and quadrilaterals
• combine formulas to solve composite area problems
• select and apply formulas for surface area and volume
of rectangular prisms
|• radius • diameter • circumference • in terms of
quadrilateral • base • height (altitude) • rhombus •
trapezoid • parallelogram • prism • lateral area • surface
|• Use the formula C=πd or C=2πr to find the
circumference of a circle with a radius of 3.2 cm.
Leave your answer in terms of pi.
• Use the formula A=½bh to find the area of a triangle
with a height of 7 inches and a base of 12 inches.
• Use the formula V=lwh to find the volume of a
rectangular prism that is 2 cm x 3 cm x 5cm.
|8.M.2.1.5 Convert units of measurement within
system in problem solving situations .
|• Convert units of measurement within each system
problem solving situations
|• examine units of measure to determine agreement
• determine appropriate unit to use
• convert measurments
|• see 8.M.2.1.1||• Sal has a garden that is 5 yards by 8½ feet. He
to put a fence around it. How many feet of fence does
he need to buy?
|8.M.2.1.6 Solve problems involving area of
the perimeter and area of rectangles and triangles.
|• Solve problems involving area of circles and
perimeter and area of rectangles and triangles.
|• apply concepts of area and perimeter to solve
|• Kendall needs to paint this basketball key
made up of a rectangle and a semicircle. The length of
the rectangle is 18 feet and the width is 12 feet. What
is the area of the space that needs to be painted
|8.M.2.1.7 Use appropriate vocabulary and
Content Limit: Assessed in the classroom, not on the
|• Use appropriate vocabulary and notations||• determine appropriate labeling of perimeter,
• communicate using correct mathematical terminology
Goal 2.2: Apply the concepts of rates,
ratios, and proportions.
|8.M.2.2.1 Use rates, proportions,
ratios, and map scales
in problem-solving situations.
|• Use rates, proportions, ratios, and
map scales in
|• relate data as rates, ratios, and
• use proportions to solve problems involving scale
• convert units of measurement as necessary
|• proportion • ratio • scale drawing • unit rate||• During a 7.5 hour drive, a car's
indicator) starts at 18,560 miles and ends at 18,980
miles. What is the car's rate of travel?
|8.M.2.2.2 Determine unit rates in real-world
|• Determine unit rates in real-world situations||• write and use unit rates to solve problems||• unit rate||• A 32 ounce container of yogurt costs $2.69. An
ounce container of yogurt cost $0.75. Find the unit
costs of each container. Which is the better buy?
|Goal 2.3: Apply dimensional analysis.||8.M.2.3.1 Illustrate the
measurement units through dimensional analysis
CL: C, D
|• Demonstrate the relationship
units through dimensional analysis conversions
|• identify common unit conversions
• use appropriate conversion ratios to relate equivalent
|• conversion ratio (factor)||• Use dimensional analysis to convert
9 kilometers to
• Use the correct conversion factor to convert 70 ounces