Benchmarks are what Lakeland students must absolutely know.  They are drawn from Lakeland and state curriculum standards, Direct Math Assessment, and ISAT Learning Continuum.

First Quarter Benchmarks

Number Sense

1.                   Use patterns to represent and solve simple problems.  Be able to identify the rule.

2.                   Sequence/Extend Patterns using whole numbers and decimals

3.                   Identify even & odd numbers

4.                   Use money to illustrate place value

5.                   Read, write, order, and compare whole numbers through billions

6.                   Use words to write whole numbers to billions

7.                   Read & draw number line tally marks

8.                   Use a number line to round numbers

9.                   Use symbols to express relationships

10.                 Count back change from ten dollars (not in the book and needs to be taught)

Estimation/Accurate Computation

1.                  Addition algorithm

2.                  Subtraction algorithm

3.                  Change addition problems to multiplication (6+6+6) (3x6)

4.                  Add & subtract dollars & cents

5.                  Multiply one digit numbers

6.                  Multiplication facts through 12 (Recall 100 facts in 3 minutes)

7.                  Division facts thorough 12 (Recall 100 facts in 3 minutes)

8.                  Know addition & subtraction facts through 20

9.                  Multiply 3 factors

10.                Tell what numbers are divisible by 2

11.                Tell what numbers are divisible by 5

12.                Division with remainders

13.                List the factors of all whole numbers through 12

14.                List multiples of whole numbers through 12

15.                Division algorithm

16.                Multiply multiples of 10 & 100

17.                Understand that a whole equals 100%

18.                Division with zeros in quotient

19.                Division with terminating decimals to the tenth place

20.                Order numbers from least to greatest or greatest to least

Reasoning/Problem Solving

1.                  When appropriate, answers must be labeled.

2.                  Add to solve story problems

3.                  Subtract to solve story problems

4.                  Multiply to solve story problems

5.                  Know that the day is divided into 24 hours, hours are divided into 60 minutes, minutes are divided into 60 seconds

6.                  Convert days into weeks and years and years into decades and centuries (new standard, not sure when it will be taught in the book)

Measurement

1.                  When appropriate, answers must be labeled.

2.                  Show that 2 halves equal 1 whole, 4 fourths equal 1 whole, 10 tenths equal 1 whole

3.                  Read & write time from clock to the nearest second

4.                  Use pictures of fractions to understand meanings of fractions

Algebra Functions & Mathematical Models

1.                  Read and use symbols (<, >, =,) to express relationships

2.                  Solve for missing addends using inverse

3.                  Solve for missing factors using inverse

4.                  Solve for missing numbers in subtraction

5.                  Know that operations inside parentheses should be completed first in an equation,

6.                  Translate English sentences into algebraic expressions

7.                  Solve algebraic expressions with one variable (function machines, function boxes,  etc.)

8.                  Evaluate basic numerical expressions using order of operations

9.                  Identify and use mathematical properties (zero property, associative, commutative,   inverse, and distributive identity property), eg. 4X12= (4x10) +(4x2)

10.                 Write fact family for two given factors

11.                 Solve missing factor equations with whole numbers less than 100

12.                 Evaluate numerical expressions that include parentheses with three operations

Geometry

1.                  Identify, compare and analyze attributes of two and three dimensional shapes (polygons and polyhedron) and develop vocabulary to describe the attributes.

2.                  Explore the fundamental concepts, properties, relationships among points, rays, angles, and shape

3.                  Draw a horizontal, vertical, & oblique line

4.                  Draw parallel, intersecting, & perpendicular lines

5.                  Identify and label points, lines, line segments, rays, and angles

6.                  Draw angles

7.                  Classify angles as acute, right, obtuse, or straight (new standard not sure when it will be taught in book)

Data Analysis, Probability, & Statistics

1.                  Read & draw number lines/tally marks

Second Quarter Benchmarks

Number Sense

1.                     Know that the words north, south, east, west are used to name directions

2.                     Write whole numbers through hundred millions

3.                     Round whole, decimal numbers

4.                     Extend patterns and identify a rule (function) that generates the pattern using whole numbers and decimals.

Estimation/Accurate Computation

1.                     Division, turn remainders into fractions

2.                     Add/subtract fractions with common denominators

3.                     Add/subtract whole numbers

4.                     Add & subtract fraction, mixed numbers

5.                     Multiply by 2 & 3 digit numbers

6.                     Divide by multiples of ten

7.                     Multiply by 3 digit numbers

8.                     Differentiate between divisor, dividend, quotient

9.                     Divide & write quotients with fractions

10.                   Estimate, add, subtract, multiply, and divide with whole numbers/ decimals

11.                   Determine if an estimate is reasonable

12.                   Explain why a given estimate is an overestimate or underestimate

13.                   Check answers for reasonable numbers

14.                   Subtract fractions from whole number

15.                   Multiply whole numbers through 12

16.                   Division algorithm

17.                   Multiply multiples of 10 & 100

18.                   Division with zeros in quotient

19.                   Compare fractions & equivalent fractions

20.                   Compare fractions by drawing pictures (greater, less than, equal)

21.                   Use pictures (whole circles & shaded circles) to represent mixed number

22.                   Use estimation to predict computation results

23.                   Write a division problem as a proper and improper fraction          

Reasoning/Problem Solving

1.                   Subtract to solve story problems

2.                   Draw diagrams to solve fraction stories

3.                   Graph & solve word problems

4.                   Solve 2 step word problems

5.                   Use a variety of strategies to compute problems drawn from real world situations.

Measurement

1.                   Compare fractions & equivalent fractions

2.                   Compare fractions by drawing pictures (greater, less than, equal)

3.                   Use pictures to identify mixed numbers

4.                   Add/subtract fractions with common denominators

5.                   Add & subtract fraction, mixed numbers

6.                   Use the metric scale (centimeters, millimeters) to find measurements

7.                   Use the U.S. Customary scale (inches, feet, yards, miles) to find measurements

8.                   Using standard ruler, measure to the nearest ¼ Inch

9.                   Simplify mixed measures

10.                 Identify and order decimal & fraction coordinates on a number line

11.                 Calculate perimeters using both systems.

Algebra Functions & Mathematical Models

1.                   Read and write whole numbers in expanded notation

2.                   Use the following properties as they relate to addition and multiplication:

                      commutative, associative, and distributive.

Geometry

1.                   Draw segment lines to close in area

2.                   Calculate perimeters of polygons and areas of rectangles/squares in real-world situations

3.                   Know that the perimeter of a circle is called the circumference

4.                   Explain diameter, radius, & center of a circle

Data Analysis, Probability, & Statistics

1.                   Read & interpret graphs, tables, & charts to find information

2.                   Collect, organize, and display the data with appropriate notation in tables, bar graphs, and line graphs

3.                   Graph & solve word problems

4.                   Identify and order decimal & fraction coordinates on a number line

Suggested Assessments

1.                   Book Work

2.                   Worksheets

3.                   Teacher

4.                   Resources

5.                   Portfolios

6.                   Quizzes

7.                   Tests

8.                   Etc.

Third Quarter Benchmarks

Number Sense 

1.                  Name, identify, and apply decimal numbers to thousandths

2.                  Compare/order decimal numbers

3.                  Count decimal places

4.                  List fractions in order from smallest to largest

5.                  Write the reciprocal of a fraction

6.                  Write, order, and compare whole numbers through billions

7.                  Identify prime, composites, multiples, and factors

Estimation/Accurate Computation

1.                   Estimate sums, differences, products, & quotients using decimals/fractions

2.                   Add/subtract fractions with common denominators

3.                   Write equivalent decimal numbers

4.                   Add/subtract decimal numbers through thousandths

5.                   Change improper fractions to whole numbers

6.                   Multiply with Fractions

7.                   Find equivalent fractions by multiplying

8.                   Divide with fractions

9.                   Read, write, order, and compare fractions and decimals through thousandths

10.                 Reduce fractions to lowest terms

11.                 Reduce mixed numbers

12.                 Convert & reduce improper fractions

13.                 Divide 3 digit numbers by 2 digit numbers

14.                 Write the reciprocal of fractions

15.                 Use percent to name part of a group

16.                 Express a fraction as decimal & percent

17.                 Know relationship between decimals and simple fractions through thousandths

18.                 Multiply decimal numbers

19.                 Multiply decimals by 10, 100, 1000

20.                 Find the least common multiple of two numbers

21.                 Change mixed numbers to fractions

22.                 Write a terminating decimal as a fraction or mixed number

23.                 Divide a decimal by a whole number & vice-versa

24.                 Write to thousandths in decimals

25.                 Identify equivalent fractions

26.                 Write improper fractions from picture presentations

Reasoning/problem Solving

1.                   Compute word problems with time & calculators

Measurement

1.                   Read metric scale to nearest cm or mm

2.                   Convert units of length-standard/metric

3.                   Convert units of weight/mass for standard/metric

Algebra Functions & Mathematical Models

1.                   Read and write whole numbers in expanded notation

Geometry

1.                   Name line segments

2.                   Recognize symmetry, similarity, and congruency

3.                   Draw trapezoid, parallelogram, & regular polygons

4.                   Explain classification system of quadrilaterals

5.                   Describe attributes of 2 & 3 dimensional geometric figures (sphere/circle, rectangle/rectangular prisms, triangle/triangular pyramids)

6.                   Calculate areas of rectangles & other irregular shapes

7.                   Identify faces, edges, & vertices on solid figures

8.                   Identify quadrilaterals: square, rectangle, parallelogram, trapezoid, and rhombus

9.                   Identify shapes as congruent, similar, or symmetrical

10.                 Identify parallel & perpendicular

11.                 Measure angles using a protractor

Data Analysis, Probability, & Statistics

1.                   Name points on number line with decimals

2.                   Collect, organize and display data with appropriate notation in tables, charts, and graphs.

3.                   Explain and justify conclusions drawn from tables, charts, and graphs.

4.                   Find measures of central tendency, mean, median, & mode with simple sets of data using whole numbers

5.                   Find the range of a set of data using whole numbers.  Data set contains no more than 10 numbers

6.                   Make predictions bases on simple experimental probabilities

Technology

1.                   Operate a 4-function calculator and complete simple conversions from decimals to fractions (i.e. .25 to ¼; .5 to ½; .75 to ¾; etc.)

2.                   Practice using calculator for math skills: use to check work

3.                   Use computer applications to display and manipulate data

Suggested Assessments

1.                   Book Work

2.                   Worksheets

3.                   Teacher

4.                   Resources

5.                   Portfolios

6.                   Quizzes

7.                   Tests

8.                   Etc.

Fourth Quarter Benchmarks

Number Sense

1.                   Round mixed numbers to nearest whole number

2.                   Round dollars & cents to nearest dollar

3.                   Round decimal numbers to nearest whole number

4.                   Recognize negative numbers

5.                   Know place value of each digit through the billions

6.                   Identify the greater or lesser of 2 decimals to thousandths

Estimation/Accurate Computation

1.                   Divide with fractions

2.                   Add whole & decimal numbers through billionths

3.                   Simplify decimal numbers

4.                   Subtract decimal number from whole number

5.                   Add/subtract fractions with uncommon denominators

6.                   Add/subtract mixed numbers with uncommon denominators

7.                   Divide decimal numbers by whole number

8.                   Divide decimals by 10, 100, 1000

9.                   Average two or more numbers

10.                 Divide by decimal number

11.                 Multiply mixed numbers

12.                 Determine discount price & sale price

13.                 Formulate conjectures and discuss why they must be or seem to be true (new standard – not in book)

Reasoning/problem Solving

1.                   Solve practical word problems involving perimeter & area of a square, rectangle, or triangle

Measurement

1.                  Select and use appropriate units and tools to make formal measurements of length, temperature, weight, and volume (capacity) in both systems

2.                  Identify the differences and relationships between perimeter and area in both systems.

3.                  Estimate and solve problems involving time, length, perimeter, area, weight, mass, volume, and temperature in real-world problems using standard units

4.                  Convert unit of measurement within each system including minutes, hours, days, and years

5.                  Tell time to nearest second on a stop watch

6.                  Convert days into weeks and years, and years into decades and centuries

Algebra Functions & Mathematical Models

1.                  Understand  scientific notation in standard form, include decimals

2.                  Solve quadratic equations

3.                  Use ordered pairs to identify and plot points in the first quadrant on a coordinate grid 

Geometry

1.                  Solve practical word problems involving perimeter & area of a square, rectangle, or triangle

2.                  Understand the changing dimensions on perimeter & area

3.                  Discuss and predict the results of translations/slide, rotations/turn, and reflections/flip of shapes

Data Analysis, Probability, & Statistics Data

1.                  Locate points on a coordinate graph

2.                  Plot a set of points on a coordinate plane to form a picture

3.                  Investigate experimental probability using a coin or spinner

4.                  Interpret Venn diagram

5.                  Predict, perform, and record results of simple probability experiments using fraction

                     notation

6.                  Make predictions and decisions based on data given in tables, bar graphs, or line graphs

Technology

1.                   Operate a 4-function calculator and complete simple conversions from decimals to fractions (i.e. .25 to ¼; .5 to ½; .75 to ¾; etc.)

2.                   Practice using calculator for math skills: use to check work

3.                   Use computer applications to display and manipulate data

Suggested Assessments

1.                   Book Work

2.                   Worksheets

3.                   Teacher

4.                   Resources

5.                   Portfolios

6.                   Quizzes

7.                   Tests

8.                   Etc.

RIT Scores < 150

and

RIT Scores 151 – 160

equals

facts

how many

shape

circle

same as

longest

shortest

how tall

kilometer

meter

time

RIT Scores 161 – 170

ones

tens

hundreds

thousands

numeral

ordinal numbers through eleventh

counting

matches

triangle

square

corners

cone

closed

inside

how long

names of days of week

next

names of months

pennies

centimeter

inches

probability