Fifth Grade Math
by Andrea Anderson
March 22, 2005
I: INTRODUCE P: PRACTICE M: MASTER
8.1.1 By the end of the eighth grade, students will recognize natural numbers, whole numbers, integers and rational numbers.
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8.1.2 By the end of the eighth grade, students will determine equivalences among fractions, decimals and percents.
I Read fractions with any whole number denominator from 1-20
I write fractions with any whole number denominator 1-20
I Represent fractions with any whole number denominator from 1-20
I Read decimals to the thousandths place
I Write decimals to the thousandths place
I Represent decimals up to the thousandths place
8.1.3 By the end of eighth grade, students will write and use numbers in expanded exponential form and scientific notation.
I Square and cube whole numbers 1-10 and write as a product of factors
I Write numbers in expanded form using powers of 10
I Convert positive powers of 10 to standard form
8.1.4 By the end of the eighth grade, students will identify and display numbers including prime and composite, factors and multiples, divisibility, powers and properties.
P-M Define the term factors
I Define the term multiples
P List the first 5 multiples of whole numbers 1-12
M Divisibility: create factor trees for numbers up to 100
M Define the addition property of zero
M Define the multiplication property of 1
M Define the multiplication property of 0
P Solve problems using correct order of operations
M Identify numbers that are divisible by 2,5,10 using the divisibility rules
I-P Find the LCM of two numbers up to 10 by listing up to 5 multiples
8.2.1 By the end of the eighth grade, students will add, subtract, multiply and divide decimals and proper, improper and mixed fractions with uncommon and common denominators with and without the use of technology.
P Write reciprocals for all fractions and whole numbers
M Add decimals in the hundredths place
P Add decimals in the thousandths place
I Multiply proper and improper fractions with answers in lowest terms
I-P Subtract decimals in the hundredths place
M Multiply decimals in the hundredths place by a decimal to the hundredths place and whole numbers
I Divide decimals in the hundredths place by a whole number
P-M Write equivalent fractions in lowest terms
I-P Add all proper and improper fractions with like and unlike denominators, answers in lowest terms
I-P subtract all proper and improper fractions with like and unlike denominators, answers in lowest terms
8.2.2 By the end of the eighth grade, students will identify the appropriate operation and do the correct calculations when solving word problems.
P Students will solve problems by identifying appropriate operations:
add, subtract, multiply and divide fractions and decimals.
8.2.3 By the end of the eighth grade, students will solve problems involving whole numbers, integers and rational numbers (fractions, decimals, ratios, proportions and percents) with and without the use of technology.
I-P Solve problems with whole numbers, fractions, decimals
8.2.4 By the end of eighth grade, students will apply the order of operations to solve problems with and without the use of technology.
I-P Solve problems by applying order of operations (+, -, x, /) with parentheses.
8.2.5 By the end of eighth grade, students will apply strategies of estimation when solving problems with and without the use of technology.
P Correctly round whole numbers to the millions.
I-P Use compatible numbers to perform mental math up to 81 (9x9)
8.3.1 By the end of eighth grade, students will select measurement tools and measure quantities for temperature, time, money, distance, angles, area, perimeter, volume, capacity and weight/mass in standard and metric units at the designated level of precision.
M Make change and count out in amounts up to $100.00.
I Measure Metric mass using appropriate unit (Kg, G)
I-P Measure to the nearest degree in Celsius (above and below 0)
I-P Measure to the nearest degree in Fahrenheit (above and below 0)
I Calculate elapsed time to the nearest minute
I Choose appropriate tool to measure length to the nearest 1/8”
I Choose appropriate tool to measure length to the nearest mm
I-P Measure capacity using the appropriate customary unit (ie. cup, pint, qt..,gallon)
I Measure capacity using the appropriate metric unit (ie. liter, mL)
I Measure weight/mass using appropriate units (ounces and grams etc.)
I Use appropriate tools to find the perimeter of regular and irregular polygons using metric and standard units by adding the sides
8.3.2 By the end of eighth grade, students will convert units within measurement systems using standard and metric, given conversion factors.
I Convert various units of time (minutes, hours) using a table
I Convert customary weights (ounces, pounds) using a table
I Convert metric mass (grams, kilograms) using a table
I Convert customary capacity units (quarts, gallons) using a table
I Convert metric capacity units (mL L) using a table
I Convert customary units of length (inches feet) using a table
I Convert metric units of length (cm, m) using a table
8.4.1 By the end of eighth grade, students will identify, describe, compare and classify 2 and 3 dimensional geometric figures (plane and figures like polygons) and (circles and solid figures like prisms, pyramids, cones, spheres and cylinders) and lines, line segments, rays, angles, parallel and perpendicular lines.
I-P Name polygons up to 10 sides
I-P Describe lines, line segments, rays, angles, parallel and perpendicular lines.
8.4.2 By the end of eighth grade, students will use geometric properties, the Pythagorean theorem and the relationships of congruence, similarity and symmetry.
I Draw examples of congruent plane figures
I Find lines of summitry in plane figures
8.4.3 By the end of eighth grade, students will use formulas to solve problems involving perimeter and area of square, rectangle, parallelogram, trapezoid and triangle and area and circumference of circles.
I-P Calculate, using formulas: perimeter and area of squares and rectangles
8.4.4 By the end of eighth grade, students will solve problems given formulas for volume and surface area of rectangular prisms, cylinders and cones.
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8.4.5 By the end of eighth grade, students will apply transformations to 2 and 3 dimensional geometric figures.
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8.4.6 By the end of eighth grade, students will use geometric terms and representations to describe the physical world.
I-P Describe everyday objects using geometric terminology
8.5.1 By the end of eighth grade, students will collect, construct, and interpret data displays and compute mean, median and mode.
I Collect, interpret and display data from a variety of representations. (line graphs, pie graphs)
8.5.2 By the end of eighth grade, students will read and interpret tables, charts and graphs to make comparisons and predictions.
I Read and interpret tables, charts and graphs to make comparisons
8.5.3 By the end of eighth grade, students will conduct experiments or simulations to demonstrate theoretical probability and relative frequency.
I Write the results of a given probability activity as a fraction
8.5.4 By the end of eighth grade, students will identify statistical methods and probability for making decisions.
I Recognize and use appropriate sampling techniques.
8.6.1 By the end of eighth grade, students will demonstrate knowledge and use of the one and two dimensional coordinate systems.
I Draw a number line to locate positive values and zero
8.6.2 By the end of eighth grade, students will apply algebraic concepts and operations to solve linear equations and word problems.
I Solve one variable equations using addition or subtraction
8.6.3 By the end of eighth grade, students will describe and represent relations, using tables, graphs and rules.
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