The Lakeview curriculum is an area which is updated on a continual
bases.
Please check this site regularly for any current changes.
| Kindergarten | First Grade | Second Grade |
| Third Grade | Fourth Grade | Fifth Grade |
| Sixth Grade | Seventh Grade | Eighth Grade |
1.1 NUMERATION/NUMBER SENSE
1.1.1 Students will recognize, write, and orally express the sequential
order of the number system.
* Say, read and write numbers to 20 in and out of sequence.
* Count by 10's to 100
* Count backwards from 10-0
1.1.2 Students will demonstrate and compare the mathematical relations
of
the number system.
* Use vocabulary for size, quantity and spatial relationships.
* Matching objects using one-to-one correspondence.
* Identify 1/2 and whole parts of objects.
1.1.3 Students will identify numbers and applications in everyday
situations.
* Participate in calendar activities.
* Recite phone number and birth date.
* Identify pennies and dimes and state their values.
1.1.4 Students will demonstrate the value of numbers (0-20) using concrete
objects.
* Count items in sets (0-10)
1.2 COMPUTATION/ESTIMATION
1.2.1 Students will demonstrate the concepts of addition and subtraction
up
to 10.
* Perform addition and subtraction skills using manipulative.
1.2.2 Students will justify estimations to mathematical problems.
* Estimate given quantities.
1.3 Measurement
1.3.1 Students will compare two or more items or sets using direct
comparisons or nonstandard units of measure for the following attributes:
length(shorter/longer), height (taller/shorter), weight(heavier/lighter),
temperature(hotter/colder/). Nonstandard unit examples are: length
of human
foot, hand span, new pencil, a toothpick, block, etc.
* Compare two objects by the following attributes:
length(shorter/longer), height(taller/shorter),weight(heavier/lighter),
temperature(hotter/colder).
1.3.2 Students will identify tools of measurement and their appropriate
use,
such as clocks, calendar, ruler, balance scale, and thermometer.
* Choose the appropriate tool for time and date.
1.3.3 Students will tell time to the half-hour using an analog and digital
clock.
* Tell time to the hour on digital and analog clock.
1.3.4. Students will identify the different units of measurement used
in
their environment, such as cents, dollars, pounds, gallons, liters,
meters,
miles, minutes, and hours.
* Identify units of measurement, used in their environment, such as
cents
and hours.
1.3.5 Students will identify in time for past, present, future, or
orientation in time.
* Identify day/night, yesterday, today, and tomorrow.
1.4 Geometry/Spatial Concepts
1.4.1 Students will compare relative positions and spatial relationships,
such as left/right, above/below, over/under, up/down, and near/far.
* Identify locations using the following concepts: left/right,
above/below,over/under, up/down.
1.4.2 Students will identify, describe , and create circles, squares,
triangles, and rectangles.
* Identify and draw circle, square, triangle, and rectangle.
1.5 Data, Analysis, Probability, and Statistical Concepts.
1.5.1 Students will count and collect information about objects and
events
in their environment, (favorite candy bar, number of siblings, and
number of
pets)
* Count to gather specific information.
1.5.2 Students will organize and display collected information using
objects
and pictures.
* Display collected information using objects and pictures.
1.5.3 Students will compare and interpret information from displayed
data,
(more, less and fewer).
* Compare information from displayed data using vocabulary suck as
more/less.
1.5.4 Students will describe the process used in data collection and
analysis.
* Identify what we want to know (the question) and count to gather
information.
1.6 Algebraic Concepts
1.6.1 Students will identify, describe, extend, and create a variety
of
patterns, such as objects, sound, movements, shapes, and numbers and
colors.
* Duplicate and extend patterns with two-parts.
1.6.2 Students will sort and classify objects according to one or more
attributes, such and size, shape, color, thickness.
* Sort and classify objects for one or more attributes.
*
1.6.3 Students will identity and describe patterns in their environment.
* Identify patterns in their environment.
1.1 NUMERATION/NUMBER SENSE
1.1.1 Students will recognize, write, and orally express the sequential
order of the number system.
* Say, read write numbers by 1's to 100.
* Say, read, write number by 2's,5's, and 10's to 100.
1.1.2 Students will demonstrate and compare the mathematical relations
of
the number system.
* Use and apply vocabulary for size, quantity and spatial relationships.
* Identify fractional parts of 1/2, 1/3, and 1/4
* Identify ordinal positions first through tenth.
1.1.3 Student will identify numbers and applications in everyday situations.
* Identify and explain place value ones and tens.
* Participate in calendar activities.
* Identify nickel and quarter, and state their values.
* Count a collection of pennies, nickels, dimes and quarters to $1.00.
1.1.4 Students will demonstrate the value of numbers (0-20) using concrete
objects.
* Demonstrate several ways to show a given number 0-20
1.2 COMPUTATION/ESTIMATION
1.2.1 Students will demonstrate the concepts of addition and subtraction
up
to 10.
* Recognize the symbols+,-, and = as representing the operations of
addition and subtraction.
* Add, subtract and solve facts to sums of 10.
1.2.2 Students will justify estimations to mathematical problems
* Estimate a given quantity.
* Check the appropriateness of an answer when adding and subtracting.
1.3 Measurement
1.3.1 Students will compare two or more items or sets using direct
comparisons or nonstandard units of measure for the following attributes:
length(shorter/longer), height (taller/shorter), weight(heavier/lighter),
temperature(hotter?colder/). Nonstandard unit examples are: length
of human
foot, hand span, new pencil, a toothpick, block, ect.
* Completed in kindergarten
1.3.2 Students will identify tools of measurement and their appropriate
use,
such as clocks, calendar, ruler, balance scale, and thermometer.
* Students will choose the appropriate tool for length, weight and
temperature.
1.3.3 Students will tell time to the half-hour using an analog and digital
clock.
* Students will tell time to the half-hour using an analog and digital
clock.
1.3.4. Students will identify the different units of measurement used
in
their environment, such as cents, dollars, pounds, gallons, liters,
meters,
miles, minutes, and hours.
* Identify the different units of measurements used in their environments
such as cents and dollars to measure money, minutes and hours for time,
pounds for weight, liters for capacity and inches and centimeters for
length.
1.3.5 Students will identify in time for past, present, future, or
orientation in time.
* Students will order events in appropriate sequence.
1.4 Geometry/Spatial Concepts
1.4.1 Students will compare relative positions and spatial relationships,
such as left/right, above/below, over/under, up/down, and near/far.
* Students will identify concepts of near and far.
1.4.2 Students will identify, describe , and create circles, squares,
triangles, and rectangles.
* Describe circles, squares, triangles, and rectangles.
* Identify shapes in their environment.
1.5 Data, Analysis, Probability, and Statistical Concepts
1.5.1 Students will count and collect information about objects and
events
in their environment, (favorite candy bar, number of siblings, and
number of
pets).
* Collect and count specific information about objects and events in
their environment
1.5.2 Students will organize and display collected information using
objects
and pictures.
* Organize and display information using concrete items or bar graphs.
.
1.5.3 Students will compare and interpret information from displayed
data,
(more, less and fewer).
* Compare and discuss information collected and displayed.
1.5.4 Students will describe the process used in data collection and
analysis.
* Identify the situation, collect and display, gather information,
analyze data and make comparisons.
1.6 Algebraic Concepts
1.6.1 Students will identify, describe, extend, and create a variety
of
patterns, such as objects, sound, movements, shapes, and numbers and
colors.
* Identify and describe a pattern.
* Identify and extend a pattern.
1.6.2 Students will sort and classify objects according to one or more
attributes, such and size, shape, color, thickness.
* Completed in kindergarten
1.6.3 Students will identity and describe patterns in their environment.
* Identity and describe patterns in their environment.
Top of page
4.1 NUMERATION/NUMBER SENSE
4.1.1 Students will demonstrate an understanding of place value through
the
millions and decimals to the hundredths place.
* Identify and five the value for numbers in the ones, tens, and hundreds
place.
* Read and write numbers to 1,000 (in digits)
* Order and compare numbers to the hundreds place using the symbols
<,>,
and =.
* Round numbers to the nearest ten.
4.1.2 Students will write and illustrate numbers in equivalent forms.
* Write numbers in expanded form, such as :
* 432=30=2
* 52=5 tens 2 ones
* 52=50 + 2
4.1.3 Student will describe and apply relationships between whole numbers
decimals and fractions by order, comparison, and across the operations,
such
as subtraction as the opposite of addition and multiplication as repeated
addition.
* Identify fractions with dominators of 2 ,3, and 4.
* Order and compare fractions using concrete objects.
* Illustrate mathematical concepts by using objects and drawing pictures
or diagrams.
4.1.4 Students will identity examples of positive and negative numbers
and
zero.
* Not addressed at this level
4.1.5 Students will make change and count out in amounts up to $20.00
* Identify the half dollar and state it's value.
* Count a collection of coins of pennies, nickels, dimes, quarters
and
half dollar to $1.00
4.2 COMPUTATION/ESTIMATION
4.2.1 Students will estimate addition, subtraction, multiplication,
and
division of whole numbers without and with calculators and solve word
problems.
* Know addition and subtraction facts (1-18).
* Add & subtract 2 digit numbers with and without regrouping.
* Add & subtraction 3 digit numbers without regrouping
* add 3 1-digit numbers.
* Choose the correct operation and accurately solve story problems
* Use estimation to predict and verify answers.
4.2.2 Students will estimate, add and subtract decimals without and
with
calculators and solve word problems.
* Not addressed at this level
4.2.3 Students will estimate, add and subtract fractions with like
dominators without calculators and solve word problems.
* Not addressed at this level
4.3 Measurement
4.3.1 Students will estimate, measure, and solve word problems using
metric
units for linear measure, area, mass/weight, capacity, and temperature.
* Estimate, measure, and solve problems using centimeters (paper, pencil)
for length and grams for weight (demonstration) or mass.
4.3.2 Students will estimate, measure, and solve word problems using
standard units for linear measure, area, mass/weight, capacity, and
temperature.
* Estimate, measure, and solve problems using inches.
* Measure and read temperature accurately to the nearest 10 degrees
on a
Fahrenheit thermometer.
4.3.3 Students will tell and write correct time to the minute on an
analog
clock.
* Tell time correctly to the nearest 5 minutes on an analog (face dial)
clock.
4.3.4. Students will measure and determine the perimeter of a many-sided
figure (without a formula) using both standard and metric units of
measure,
such as the six-sided figure measures 30 inches or 15 toothpicks around
the
edges.
* Use nonstandard units of measure to determine the perimeter of 3 and
4
sided shapes.
4.4 Geometry/Spatial Concepts
4.4.1 Students will identify, describe, and create two and three dimensional
geometric shapes.
* Identify geometric solids: sphere, cube, cone, pyramid, rectangular
solid, and cylinder using models and in the
4.4.2 Students will identify and draw points, lines and segments, rays
and
angles.
* Not addressed at this level.
4.4.3 Students will identify, analyze, and compare two-dimensional geometric
figures using congruence, symmetry. similarity, and simple transformation.
* Identify 2 shapes that are congruent.
* Identify the line of symmetry in a given shape.
4.5 Data, Analysis, Probability, and Statistical Concepts
4.5.1 Students will make, collect, organize, record,m and interpret
numerical and categorical data and clearly describe the finding.
* Collect, organize, and display information on a pictograph or bar
graph.
4.6 Algebraic Concepts
4.6.1 Students will use and interpret variable, mathematical symbols
to
write and solve one-step equations.
* Solve for missing addends.
4.6.2 Students will identify, describe, and extend arithmetic patterns,
using concrete materials and tables.
* Extend repeating and growing patterns.
4.1 NUMERATION/NUMBER SENSE
4.1.1 Students will demonstrate an understanding of place value through
the
millions and decimals to the hundredths place.
* Identify and give the value for numbers to the hundred thousands place.
* Identify the decimal in money form as part of a whole.
* Order and compare numbers to the hundreds thousands place using the
symbols <,>, and =.
* Round numbers to the nearest hundreds
* Correctly place commas to how periods.
4.1.2 Students will write and illustrate numbers in equivalent forms.
* Write numbers in expanded form, through the hundred thousands, such
as
4,327 =4,000+300+20+7.
* Represent equivalent fractions for common fractions with dominators
of
2 &4 using concrete objects.
4.1.3 Student will describe and apply relationships between whole numbers
decimals and fractions by order, comparison, and across the operations,
such
as subtraction as the opposite of addition and multiplication as repeated
addition.
* Order and compare fractions wit the dominator of 2,3,&4.
* Identify numerator and denominator in a given fraction
* Illustrate mathematical concepts by using objects and drawing pictures
or diagrams.
* Solve and check a subtraction problem by using addition.
4.1.4 Students will identity examples of positive and negative numbers
and
zero.
* Recognize positive numbers on a thermometer.
4.1.5 Students will make change and count out in amounts up to $20.00
* Count money values using the least amount of coins.
* Count change to $1.00.
4.2 COMPUTATION/ESTIMATION
4.2.1 Students will estimate addition, subtraction, multiplication,
and
division of whole numbers without and with calculators and solve word
problems.
* Know and apply the multiplication facts through the 9's in fact and
word problems.
* Add & subtract 3 digit numbers with and without regrouping .
* Add three two digit numbers in columns accurately.
* Choose correct operation and solve word problems.
* Use estimation to predict and verify answers.
4.2.2 Students will estimate, add and subtract decimals without and
with
calculators and solve word problems.
* Add and subtract money with decimals to $10.00.
4.2.3 Students will estimate, add and subtract fractions with like
dominators without calculators and solve word problems.
* Add fractions with like denominators.
4.3 Measurement
4.3.1 Students will estimate, measure, and solve word problems using
metric
units for linear measure, area, mass/weight, capacity, and temperature.
* Estimate, measure, and solve problems using centimeters (paper, pencil)
for length and grams for weight (demonstration) or mass.
4.3.2 Students will estimate, measure, and solve word problems using
standard units for linear measure, area, mass/weight, capacity, and
temperature.
* Estimate, measure, and solve problems to the nearest 1/2 inch.
* Choose the appropriate linear measure, inch, foot, yard, or mile
to
measure given lengths, distances, or objects.
* Identify cup, print, quart and gallon.
* Measure and read temperature within 2 degree accuracy on a Fahrenheit
thermometer.
* Estimate and measure to the nearest pound.
4.3.3 Students will tell and write correct time to the minute on an
analog
clock.
* Tell correct time to the nearest minute on an analog clock.
4.3.4. Students will measure and determine the perimeter of a many-sided
figure (without a formula) using both standard and metric units of
measure,
such as the six-sided figure measures 30 inches or 15 toothpicks around
the
edges.
* Determine the perimeter of a many-sided figure using standard units
of
measurements.
4.4 Geometry/Spatial Concepts
4.4.1 Students will identify, describe, and create two and three dimensional
geometric shapes.
* Identify geometric solids: sphere, cube, cone, pyramid, rectangular,
prism and pyramid.
4.4.2 Students will identify and draw points, lines and segments, rays
and
angles.
* Identify and draw points, lines and line segments.
4.4.3 Students will identify, analyze, and compare two-dimensional geometric
figures using congruence, symmetry. similarity, and simple transformation.
* Identify shapes that are congruent and similar.
4.5 Data, Analysis, Probability, and Statistical Concepts
4.5.1 Students will make, collect, organize, record, and interpret numerical
and categorical data and clearly describe the finding.
* Collect, organize, and display and interpret information on tables
and
line graphs.
4.6 Algebraic Concepts
4.6.1 Students will use and interpret variable, mathematical symbols
to
write and solve one-step equations.
* Use and interpret mathematical symbols to solve equations
.
4.6.2 Students will identify, describe, and extend arithmetic patterns,
using concrete materials and tables.
* Identify and describe numerical patterns using addition, subtraction
or
multiplication
Top of page
4.1 Numeration/Number Sense
4.1.1 Students will demonstrate an understanding of place value through
the
millions and decimals to the hundredths place.
* Read and write numbers through one million
* Order and compare numbers to the one millions place.
* Identify and give the value for numbers through millions.
* Read and write decimals through hundredths.
* Round whole numbers to the nearest named place.
* Order and compare decimals to the hundredths.
4.1.2 Students will write and illustrate numbers in equivalent forms.
* Write given numbers in expanded form.
* Finding equivalent fractions for common fractions with denominators
of
2, 3, 8 using concrete objects.
4.1.3 Students will describe and apple relationships between whole numbers,
decimals and fractions by order, comparison, and across the operations,
such
as subtraction as the opposite of addition and multiplication as repeated
addition.
* Order and compare common fractions with denominators of 2, 4, and
8
using the symbols <,>, and =.
* Solve and check a mathematical problem by using the related facts
(addition, subtraction, multiplication, division).
* Illustrate fractions and decimals by using objects and drawing pictures
or diagrams.
4.1.4 Students will identify examples of positive and negative numbers
and
zero
* Identify negative numbers and zero on a thermometer and on a number
line.
4.1.5 Students will make change and count out in amounts up to $20.00.
* Students will make change and count back amounts up to $20.00
4.2 Computation/Estimation
4.2.1 Students will estimate addition, subtraction, multiplication,
and
division of whole numbers without and with calculator and solve word
problems.
* Choose the correct operation to solve word problems involving addition,
subtraction, multiplication, and division of whole numbers and
understand the relationship among the operations.
* Demonstrate with accuracy facts of addition (1-20), subtraction (1-20),
multiplication (1-81), and division (1-81).
* Add and subtract five-digit numbers including columns of numbers.
* Multiply up to a three-digit number by a two-digit number.
* Divide up to a three-digit number by a two-digit divisor.
* Use estimation to predict and verify answers.
4.2.2 Students will estimate add and subtract decimals without and with
calculators and solve word problems.
* Estimate and accurately solve problems involving addition and
subtraction wit decimals.
4.2.3 Students will estimate, add, and subtract fractions with like
dominators without calculators and solve word problems.
* Add and subtract common fractions with like denominators.
* Solve problems involving fractions of halves, fourths, and eights
using
the operations of addition and subtraction.
4.3 Measurement
4.3.1 Students will estimate, measure, and solve word problems using
metric
units for linear measure, are, mall/weight, capacity, and temperature.
* Estimate and measure capacity to the nearest liter and mill-liter.
* Estimate and measure weight to the nearest gram and kilogram.
* Estimate, measure, and solve problems using appropriate metric units.
* Estimate and measure using meters, centimeters, kilometer.
* Measure and read temperature on a Celsius thermometer.
* Calculate the area of a given shape.
4.3.2 Students will estimate, measure and solve word problems using
standard
units for linear measure, area, mass/ weight, capacity and temperature.
* Estimate, measure and solve problems using appropriate standard units.
* Estimate and measure capacity to the nearest fluid ounce.
* Estimate and measure weight to the nearest ounce and pound.
* Estimate and measure length to the nearest yard, foot, inch and quarter
inch and calculate area.
* Read temperature accurately to the nearest degree using Fahrenheit
thermometer.
4.3.3 Students will tell and write correct time to the minute on an
analog
clock.
* Figure elapsed time to the nearest quarter hour.
4.3.4 Students will measure and determine the perimeter of a many-sided
figure (without a formula) using both standard and metric units of
measure,
such as the six-sided figure measures 30- inches or 15 toothpicks around
the
edges.
* Addressed in previous grade.\\
4.4 Geometry/ Spatial Concepts.
4.4.1 Students will identify, describe, and create two and three dimensional
geometric shapes.
* Identify, describe and create a two and three-dimensional shapes by
drawing, cutting and building with materials.
4.4.2 Student will identify and draw points, lines, line segments, rays
and
angles.
* Identify rays and angles and represent each with drawings.
* Draw and label parallel, intersecting lines, and perpendicular lines.
4.4.3 Students will identify, analyze, and compare, two dimensional
geometric figures using congruence, symmetry, similarity, and simple
transformations.
* Perform simple transformations with geometric figures flip, slide,
turn).
4.5 Data, analysis, Probability and Statistical Concepts
4.5.1 Students will make collect, organize, record, and interpret numerical
and categorical data and clearly describe the findings.
* Collect, organize, represent, and interpret data and communicate the
findings.
4.6 Algebraic Concepts
4.6.1 Student will use and interpret variable, mathematical symbols
to write
and solve one-step equations.
* Use letters, boxes or other symbols as variables in a problem.
* Identify and use various symbols for the operations of multiplication
and division.
4.6.2 Students will identify, describe, and extend arithmetic patterns,
using concrete materials and table.
* Describe what is occurring in a given arithmetic pattern
* Identify common patterns found in multiplication and division.
8.1 Numeration/ Number Sense
8.1.1 Students will recognize natural numbers, whole numbers, integers,
and
rational numbers.
* Read and write numbers through hundred millions.
* Order and compare numbers to the hundred millions place.
* Identify and give the value for numbers to the hundred millions.
8.1.2 Students will determine equivalences among fractions, decimals,
and
percents in a variety of situations.
* Find equivalences for decimals, fractions, and percents for values
of
25, 50, 75, and 100.
* Finding equivalent fractions for common fractions.
8.1.3 Write and use numbers in expanded exponential form and scientific
notation.
* Not addressed at this level.
8.1.4 Students will identify and display numbers including prime and
composite, factors and multiples, divisibility, powers, properties,
and
identities.
* Find the LCM and GCF.
* Write factors and multiples of whole numbers.
8.2 Computation/ Estimation
8.2.1 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.
* Add, subtract, and multiply money.
* Add and subtract fractions with like denominators presenting the
answer
in simplest form.
8.2.2 Students will identify the appropriate operation and do the correct
calculations when solving problems
* Students will solve word problems using the four basic operations
for
whole numbers.
8.2.3 Students will solve problems involving whole numbers, integers,
and
rational numbers( fractions, decimals, ratios, proportions, and percents)
both with and with out the use of technology. Problems will be of varying
complexities and can involve real-life data.
* Divide three digit numbers by 2 digit numbers with and without
remainders.
* Multiply 3 digit numbers by 2 digit numbers.
* Use a calculator to check the accuracy of their answers.
8.2.4 apply the order of operations to solve problems both with and
without
the use out technology
* Not addressed at this level.
8.2.5 Student will apply strategies of estimation when solving problems
with
and without the use of technology.
* Estimate and solve addition, subtraction, multiplication, and division
problems using whole numbers.
* Use estimation skills to determine reasonableness of results.
8.3 Measurement
8.3.1 Students will select measurement tools and properly measure quantities
for temperature, time, money, distance, area and perimeter, volume
and
capacity, weight and mass in both standard and metric units at the
designated level of precision.
* Measure to the nearest fourth of an inch and centimeter. (in metric
measurement)
* Select the appropriate tool to measure temperature.
8.3.2 Students will convert units within measurement systems using proper
conversion factors( system and metric).
* Convert within measurement using proper standard conversion factors.
8.4 Geometry/ Spatial Concepts
8.4.1 Students will identity, describe, compare, and classify two and
three
dimensional geometric figures such as place figures like polygons and
circles: solid figures like prism, pyramids, cones, spheres, and cylinders:
and lines, line segments, rays, angles, parallel and perpendicular
lines.
* Identify, measure and construct right, acute and obtuse angles.
* Identify polygons.
8.4.2 Students will understand and use geometry properties and relationship
of congruence, similarity, symmetry, and Pythagorean theorem.
* Identify congruent geometric figures.
* Recognize symmetrical figures.
8.4.3 Students will use formulas to solve problems involving perimeter
and
are of a square, rectangle, parallelogram, trapezoid and triangle and
area
circumference of circles.
* Measure and determine perimeter of rectangles and squares.
8.4.4 students will solve problems given the formulas for volume and
surface
area of rectangular prisms, cylinders, and cones.
* Not addressed at this level.
8.4.5 Student will apply transformations to two and three dimensional
geometric figures such as translations or slides, rotations or turns,
reflections or flips, and scale or dilate.
* Not addressed at this level.
8.4.6 Students will use geometric terms and representations to solve
problems and describe the physical world.
* Solve real life problems using perimeter of squares and rectangles.
8.5 Data Analysis, Probability, and Statistical Concepts
8.5.1 Students will collect, construct and interpret data displays and
compute mean, median and mode.
* Collect data, construct and interpret a double bar graph.
* Define mean, mode, median range.
8.5.2 Students will read and interpret tables, charts, and graphs to
make
comparisons, predictions, and inferences.
* Write an interpretation of the date found on graphs.
* Interpret the information on tables, charts, and graphs to solve
problems.
8.5.3 Students will conduct experiments or simulations to demonstrate
an
understanding of theoretical probability and relative frequency.
* Not addressed at this level.
8.5.4 Students will identify statistical methods and probability as
a means
for making decisions.
* Not addressed at this level.
8.6 Algebraic Concepts
8.6.1 Students will demonstrate knowledge and use of the one-and
two-dimensional coordinate systems
* Not addressed at this level.
8.6.2 Students will apply algebraic concepts and algebraic operations
to
solve linear equations and word problems.
* Solve one step equations with one variable
8.6.3 Students will describe and represent relations, using tables,
graphs,
and rules.
* Not addressed at this level.
8.1 Numeration / Number Sense
8.1.1 Students will recognize natural numbers, whole numbers, integers,
and
rational numbers.
* Read and write decimals through thousandths.
* Round decimal numbers through the nearest hundredths.
* Order and compare decimals to the thousandths.
8.1.2 Students will determine equivalences among fractions, decimals,
and
percents in a variety of situations.
* Find the equivalences between fractions and decimals.
8.1.3 Write and use numbers in expanded exponential form and scientific
notation.
* Not addressed at this level.
8.1.4 Students will identify and display numbers including prime and
composite, factors and multiples, divisibility, powers, properties,
and
identities.
* Identify prime and composite numbers.
* Solve problems of divisibility.
8.2 Computation/ Estimation
8.2.1 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.
* Multiply decimal numbers.
* Add and subtract decimal numbers through thousandths.
* Add and subtract fractions and mixed numbers with unlike denominators.
* Multiply and divide fractions and mixed numbers.
8.2.2 Students will identify the appropriate operation and do the correct
calculations when solving problems.
* Solve problems using the 4 operations in fractions and decimals.
8.2.3 Students will solve problems involving whole numbers, integers,
and
rational numbers( fractions, decimals, ratios, proportions, and percents)
both with and with out the use of technology. Problems will be of varying
complexities and can involve real-life data.
* Solve problems using fractions and decimals.
8.2.4 Apply the order of operations to solve problems both with and
without
the use out technology.
* Not addressed at this level.
8.2.5 Student will apply strategies of estimation when solving problems
with
and without the use of technology.
* Use estimation skills to determine reasonableness of results.
* Estimate and solve addition, subtraction, multiplication, and division
problems using whole numbers.
8.3 Measurement
8.3.1 Students will select measurement tools and properly measure quantities
for temperature, time, money, distance, area and perimeter, volume
and
capacity, weight and mass in both standard and metric units at the
designated level of precision.
* Measure length, width, and perimeter to the nearest millimeter.
* Measure length, width, and perimeter to the nearest eighth of an
inch.
8.3.2 Students will convert units within measurement systems using proper
conversion factors( system and metric ).
* Not addressed at this level.
8.4 Geometry/ Spatial Concepts
8.4.1 Students will identity, describe, compare, and classify two and
three
dimensional geometric figures such as place figures like polygons and
circles: solid figures like prism, pyramids, cones, spheres, and cylinders:
and lines, line segments, rays, angles, parallel and perpendicular
lines.
* Not addressed at this level.
8.4.2 Students will understand and use geometry properties and relationship
of congruence, similarity, symmetry, and Pythagorean theorem.
* Not addressed at this level.
8.4.3 Students will use formulas to solve problems involving perimeter
and
are of a square, rectangle, parallelogram, trapezoid and triangle and
area
circumference of circles.
* Find the area of squares and rectangles.
8.4.4 students will solve problems given the formulas for volume and
surface
area of rectangular prisms, cylinders, and cones.
* Not addressed at this level.
8.4.5 Student will apply transformations to two and three dimensional
geometric figures such as translations or slides, rotations or turns,
reflections or flips, and scale or dilate.
* Not addressed at this level.
8.4.6 Students will use geometric terms and representations to solve
problems and describe the physical world.
* The students will solve real life problems using the area of squares
and rectangles.
8.5 Data Analysis, Probability, and Statistical Concepts
8.5.1 Students will collect, construct and interpret data displays and
compute mean, median and mode.
* Collect data and construct and interpret a line graph.
* Demonstrate the process of determining mean, medium mode, and range.
8.5.2 Students will read and interpret tables, charts, and graphs to
make
comparisons, predictions, and inferences.
* Not addressed at this level.
8.5.3 Students will conduct experiments or simulations to demonstrate
an
understanding of theoretical probability and relative frequency.
* Not addressed at this level.
8.5.4 Students will identify statistical methods and probability as
a means
for making decisions.
* Not addressed at this level
8.6 Algebraic Concepts
8.6.1 Students will demonstrate knowledge and use of the one-and
two-dimensional coordinate systems.
* Construct a number line and identify the differences between positive
and negative numbers
8.6.2 Students will apply algebraic concepts and algebraic operations
to
solve linear equations and word problems.
* Not addressed at this level.
8.6.3 Students will describe and represent relations, using tables,
graphs,
and rules.
* Not addressed at this level.
8.1 Numeration / Number Sense
8.1.1 Students will recognize natural numbers, whole numbers, integers,
and
rational numbers.
* Read, write, order, compare and round decimals through
hundred-thousandths.
* Read write, order, compare and round numbers through hundred billions.
* Identify, write and compare integers.
8.1.2 Students will determine equivalences among fractions, decimals,
and
percents in a variety of situations.
* Convert decimals, percents and fractions.
8.1.3 Write and use numbers in expanded exponential form and scientific
notation.
* Identify and write numbers using exponential notation.
8.1.4 Students will identify and display numbers including prime and
composite, factors and multiples, divisibility, powers, properties,
and
identities.
* Find the prime factorization of a given number.
* Use prime factors to find the LCM and GCF.
8.2 Computation/ Estimation
8.2.1 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.
* Divide a decimal by a decimal.
8.2.2 Students will identify the appropriate operation and do the correct
calculations when solving problems.
* Solve problems using the 4 operations.
8.2.3 Students will solve story problems involving whole numbers, integers,
and rational numbers( fractions, decimals, ratios, proportions, and
percents) both with and with out the use of technology. Problems will
be of
varying complexities and can involve real-life data.
* Solve problems using ratios, proportions and percents with or without
the use of technology.
8.2.4 Students will apply the order of operations to solve problems
both
with and without the use out technology.
* Solve problems using the order of operations including parenthesis
with
or without the use of technology.
8.2.5 Student will apply strategies of estimation when solving problems
with
and without the use of technology.
* Use estimation strategies to solve problems.
8.3 Measurement
8.3.1 Students will select measurement tools and properly measure quantities
for temperature, time, money, distance, area and perimeter, volume
and
capacity, weight and mass in both standard and metric units at the
designated level of precision.
* Select appropriate tools and properly measure quantities for volume
and
capacity.
8.3.2 Students will convert units within measurement systems using proper
conversion factors
(system and metric).
* Convert units within the metric measurement system.
8.4 Geometry/ Spatial Concepts
8.4.1 Students will identity, describe, compare, and classify two and
three
dimensional geometric figures such as place figures like polygons and
circles: solid figures like prism, pyramids, cones, spheres, and cylinders:
and lines, line segments, rays, angles, parallel and perpendicular
lines.
* Identify, describe and compare prisms, pyramids, cones, spheres,
cylinders.
8.4.2 Students will understand and use geometry properties and relationship
of congruence, similarity, symmetry, and Pythagorean theorem.
* Not addressed at this level.
8.4.3 Students will use formulas to solve problems involving perimeter
and
are of a square, rectangle, parallelogram, trapezoid and triangle and
area
circumference of circles.
* Will understand and apply the formulas to solve problems involving
perimeter and area of a parallelogram, trapezoid and triangle and area
and circumference of circles.
8.4.4 students will solve problems given the formulas for volume and
surface
area of rectangular prisms, cylinders, and cones.
* Find the volume and surface area of rectangular prisms.
8.4.5 Student will apply transformations to two and three dimensional
geometric figures such as translations or slides, rotations or turns,
reflections or flips, and scale or dilate.
* Not addressed at this level.
8.4.6 Students will use geometric terms and representations to solve
problems and describe the physical world.
* Solve problems using the area of two dimensional figures such as
circles, parallelograms, trapezoid and triangles in real life.
8.5 Data Analysis, Probability, and Statistical Concepts
8.5.1 Students will collect, construct and interpret data displays and
compute mean, median and mode.
* Collect data, create table and graph and write a conclusion.
8.5.2 Students will read and interpret tables, charts, and graphs to
make
comparisons, predictions, and inferences.
* Read and interrupt tables and graphs to make comparisons, predictions.
8.5.3 Students will conduct experiments or simulations to demonstrate
an
understanding of theoretical probability and relative frequency.
* Use a manipulative to determine the outcome of a single event.
(ex.-pennies, dice)
8.5.4 Students will identify statistical methods and probability as
a means
for making decisions.
* Use and make a double line graph.
8.6 Algebraic Concepts
8.6.1 Students will demonstrate knowledge and use of the one-and
two-dimensional coordinate systems.
* Compare and order integers on a number line.
8.6.2 Students will apply algebraic concepts and algebraic operations
to
solve linear equations and word problems.
* Solve multi-step equations with one variable.
* Use order of operations to evaluate algebraic expressions for given
replacement values of the variables.
8.6.3 Students will describe and represent relations, using tables,
graphs,
and rules.
* Not addressed at this level.
8.1 Numeration / Number Sense
8.1.1 Students will recognize natural numbers, whole numbers, integers,
and
rational numbers.
* Read, write, order, compare, and round, decimals through the millionths
place.
* Identify, write, and compare rational numbers.
8.1.2 Students will determine equivalences among fractions, decimals,
and
percents in a variety of situations.
* Solve problems with appropriate equivalences.
8.1.3 Write and use numbers in expanded exponential form and scientific
notation.
* Solve problems by using scientific notation to express small and large
numbers.
8.1.4 Students will identify and display numbers including prime and
composite, factors and multiples, divisibility, powers, properties,
and
identities.
* Find the square and square root of a number up to twenty using paper
and pencil as well as with technology.
8.2 Computation/ Estimation
8.2.1 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.
* Not addressed at this level.
8.2.2 Students will identify the appropriate operation and do the correct
calculations when solving problems.
* Not addressed at this level.
8.2.3 Students will solve problems involving whole numbers, integers,
and
rational numbers( fractions, decimals, ratios, proportions, and percents)
both with and with out the use of technology. Problems will be of varying
complexities and can involve real-life data.
* Solve percent application problem involving sales tax, discount, simple
interest, commission, and percent of change.
8.2.4 Apply the order of operations to solve problems both with and
without
the use out technology.
* Solve problems using the order of operations including brackets and
braces with or without the use of technology.
8.2.5 Student will apply strategies of estimation when solving problems
with
and without the use of technology.
* Solve real-life problems using estimation.
8.3 Measurement
8.3.1 Students will select measurement tools and properly measure quantities
for temperature, time, money, distance, area and perimeter, volume
and
capacity, weight and mass in both standard and metric units at the
designated level of precision.
* Select appropriate tools and properly measure quantities for weight
and
mass.
8.3.2 Students will convert units within measurement systems using proper
conversion factors( system and metric).
* Convert standard units to metrics and metrics to standard.
8.4 Geometry/ Spatial Concepts
8.4.1 Students will identity, describe, compare, and classify two and
three
dimensional geometric figures such as place figures like polygons and
circles: solid figures like prism, pyramids, cones, spheres, and cylinders:
and lines, line segments, rays, angles, parallel and perpendicular
lines.
* Not addressed at this level.
8.4.2 Students will understand and use geometry properties and relationship
of congruence, similarity, symmetry, and Pythagorean theorem.
* Apply geometric properties and relationships, congruence, similarity,
symmetry, and Pythagorean theorem.
8.4.3 Students will use formulas to solve problems involving perimeter
and
are of a square, rectangle, parallelogram, trapezoid and triangle and
area
circumference of circles.
* Not addressed at this level.
8.4.4 Students will solve problems given the formulas for volume and
surface
area of rectangular prisms, cylinders, and cones.
* Solve problems using the formulas for volume and surface area of
cylinder and cones.
8.4.5 Student will apply transformations to two and three dimensional
geometric figures such as translations or slides, rotations or turns,
reflections or flips, and scale or dilate.
* Use slides, turns, or flips of geometric figures to identify congruent
and similar geometric figures.
* Create tessellations using transition, rotations, and reflections.
8.4.6 Students will use geometric terms and representations to solve
problems and describe the physical world.
* Solve problems using the volume of three dimensional figures such
as
rectangular prisms, pyramids, cones, spheres, and cylinders in real
life.
8.5 Data Analysis, Probability, and Statistical Concepts
8.5.1 Students will collect, construct and interpret data displays and
compute mean, median and mode.
* Display data in a circle graph.
8.5.2 Students will read and interpret tables, charts, and graphs to
make
comparisons, predictions, and inferences.
* Read and interpret circle graphs to make comparisons, predictions,
and
inference.
8.5.3 Students will conduct experiments or simulations to demonstrate
an
understanding of theoretical probability and relative frequency.
* Determine the probability of multiple events.
8.5.4 Students will identify statistical methods and probability as
a means
for making decisions.
* Interrupt graphs to make general predictions of future outcomes.
8.6 Algebraic Concepts
8.6.1 Students will demonstrate knowledge and use of the one-and
two-dimensional coordinate systems
* Graph ordered pairs on a co-ordinate plane.
* Generate a table of ordered pairs and graph and equation in two
variables.
8.6.2 Students will apply algebraic concepts and algebraic operations
to
solve linear equations and word problems.
* Recognize and apply commutative, associative, distributive, inverse,
and identity properties, and the properties of zero.
8.6.3 Students will describe and represent relations, using tables,
graphs,
and rules.
* Use variables to recognize and describe patterns.