Mathematic Vocabulary and Resources

1. 6^th grade ISAT RIT range is 201 to 230

2. Link to: Complete ISAT Vocabulary List RIT 150-280

3. Link to: ISAT Resources – Sample test questions

4. Link to: ISAT Proficiency Levels Chart

6. Link to: Direct Math Assessment Toolkit

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

Click below for links to quarters:

First Quarter

Second Quarter

Third Quarter

Fourth Quarter

First Quarter Benchmarks

DMA SKILLS AND STRATEGIES

1. See link at top of page for DMA Toolkit

2. Use mathematical symbols to show all work, even the most basic steps (for example, when reducing, show it as a division problem)

3. Work should be labeled with common nouns

4. Use appropriate vocabulary and notations

NUMBER SENSE

1. Add/subtract fact families

2. Multiply/divide fact families

3. Instantly recall basic multiplication and division facts from 12 x 12 Times Table

4. Regroup/borrow across zeroes

5. Identify fractional parts

6. Compare numbers: <, >, =

7. Distinguish place value through trillions

8. Compare fractions with pictures

9. Read, write, order, and compare whole numbers, fractions, decimals, and percents

10. Recall the decimal number Line

11. Solve problems using the four-step process of problem solving (explore, plan, solve, and examine)

ESTIMATION/COMPUTATION

1. Complete two digit multiplication problems

2. Demonstrate 3 ways to show division

3. Complete short/long division

4. Find missing numbers in + - x /

5. Money concepts - add dollars and make change

6. Round and estimate whole numbers to hundred billions

7. Define and understand LCM/GCF

8. Add and subtract fractions with like and unlike denominators

9. Find common denominators

10. Multiple and divide decimal numbers

11. Add and subtract mixed numbers

12. Mentally multiply by 10, 100, 1000

13. Estimate to thousands

14. Round decimal numbers

15. Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three

16. Convert improper fractions to mixed numbers

17. Reduce fractions (lowest term)

- Identify and use powers of 10

- Round monetary amounts to the nearest single coin or bill

- Solve for missing addends in an addition or subtraction sentence

- Solve integer equations (one step, all four operations)

- Determine whether a given estimate is an overstatement or understatement

REASONING/PROBLEM SOLVING

1. Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three

2. Complete word problems: single and double step

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

4. Make predictions and decisions based on information

5. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning and concepts

MEASUREMENT

1. Select and use appropriate units and tools to make formal measurements in the English and metric systems

2. Read inch/metric rulers to 1/16

3. Identify and write ratios and scales (on a map)

4. Convert units of measurement within each system

5. Apply understanding of relationships to solve real-world problems related to elapsed time

ALGEBRA FUNCTIONS / MATH MODELS

1. Use boxes or other symbols to stand for any number (variables) in simple expressions or equations

2. Solve one-step linear equations for one variable using add, sub, multiply, and divide with integer solutions

DATA ANALYSIS, PROBABILITY AND STATISTICS

1. Read and interpret conclusions drawn from tables, charts, and graphs

2. Explain and justify stated conclusions drawn from tables, charts, and graphs

3. Use appropriate vocabulary and notations

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

· Book Work

· Work Sheets

· Teacher Resources

· DMA Practice Test

· Quizzes

· Tests

· Etc.

Second Quarter Benchmarks

DMA SKILLS AND STRATEGIES

1. See link at top of page for DMA Toolkit

2. Use mathematical symbols to show all work, even the most basic steps (for example, when reducing, show it as a division problem)

3. Work should be labeled with common nouns

NUMBER SENSE

1. Demonstrate decimal place value through hundred billionths

2. Write numbers and decimals in expanded notation

3. Compose a number line- using negative and positive numbers

4. Show and understand prime numbers and composite numbers

5. Define and distinguish positive numbers

ESTIMATION/COMPUTATION

1. Find the average of a set of numbers

2. Write percents as fractions

3. Subtract mixed numbers with regrouping

4. Multiply fractions with like and unlike denominators

5. Divide fractions – reciprocals - with like and unlike denominators

6. Add 3 or more fractions

7. Find prime numbers

8. Write mixed numbers as fractions

9. Subtract mixed numbers

10. Prime factorization – division by primes

11. Multiplying mixed numbers

12. Cancel fractions

13. Divide mixed numbers

14. Multiplying 3 fractions

15. Reduce fractions before multiplying

16. Use prime factors to reduce fractions

17. Write decimals as fractions and fractions as decimals to understand their interrelationship

18. Compare fractions by converting to decimals

19. Distinguish exponents

20. Finding missing factors

- Identify LCM for 3 or more fractions

- Simplify numeric expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative).

- Use estimation to predict computation results

REASONING/PROBLEM SOLVING

1. Solve multiple step word problems

2. Find unstated information in fraction problems

3. Make predictions and decisions based on information

4. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning and concepts

MEASUREMENT

1. Solve problems involving time, length, perimeter, area, and temperature

ALGEBRAIC FUNCTIONS/MATH MODELS

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

2. Solve whole number equations with one variable (multiplication and division)

GEOMETRY

1. Find area and perimeter of squares and rectangles

2. Define basic geometric forms

3. Polygons – identify 5 basic shapes

4. Geometric Solids - describe basic types

5. Lines - define 3 types

6. Identify and graph coordinate points making a rectangle on a coordinate plane in the first quadrant

7. Coordinates: origin, X and Y axis

8. Identify rectangular coordinates

9. Draw a coordinate plane

10. Determine the area of triangles

11. Define geometric patterns and relationships and describe them algebraically

DATA ANALYSIS, PROBABILITY AND STATISTICS

1. Collect, organize, and display the data with appropriate notation in tables, charts and graphs including broken line graphs, bar graphs, frequency tables, and line plots

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

· Book Work

· Work Sheets

· Teacher Resources

· DMA Practice Test

· Quizzes

· Tests

· Etc.

Third Quarter Benchmarks

NUMBER SENSE

1. Estimate through Trillions

2. Demonstrate Understanding of Expanded Notation with Exponents

3. Describe the use of Integers in Real-world Situations

4. Compare Negative Numbers

ESTIMATION/COMPUTATION

1. Know the order of operations

- Use the order of operations with fractions and decimals

- Use the order of operations with exponents

- Know and Use the power of fractions in order

- Reduce fractions before multiplying

- Compare and convert fractions-decimals-percents to one another

- Know the appropriate applications using division

- Find a given percent of a number

2. Add, subtract, multiply, and dividing any integer - negative and positive

3. Determine if a pair of ratios are equal or not using equivalent fractions

4. Find missing numbers in 2 equivalent ratios

5. Solve proportions using the cross product method

REASONING/PROBLEM SOLVING

1. Make predictions and decisions based on information

2. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning and concepts

MEASUREMENT

1. Measure liquids

2. Add and subtract mixed measures

ALGEBRAIC FUNCTIONS/MATH MODELS

1. Ratios: use concrete and pictorial models

2. Use mathematical models to show change in a real-world context

3. Use the following properties in evaluating numerical expressions: commutative, associative, identity, zero, inverse, and distributive

GEOMETRY

1. Classify quadrilaterals

2. Calculate the area of parallelograms

3. Define and create acute, obtuse, and right angles

4. Know geometric formulas for square, rectangle, triangle, and parallelogram

5. Find and understand faces, edges, vertices of polyhedra

6. Know the different platonic solids

7. Know the different types of lines and angles

8. Determine the volume of a rectangular prism

9. Know corresponding parts of angles

10. Classify angles: supplementary and complementary

11. Classify angles: adjacent, vertical, corresponding, and supplementary

12. Analyze circles and distinguish between center, chord, diameter, radius, arc, semicircle, and circumference

DATA ANALYSIS, PROBABILITY AND STATISTICS

1. Find measures of central tendency - mean, median, mode, and range from a set of numbers

2. Solve fractional proportions

3. Use cross products to complete proportions

4. Solve ratio problems with given totals

5. Predict, perform and record probability and chance of given outcomes

6. Use the language of probability

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

· Book Work

· Work Sheets

· Teacher Resources

· Portfolios

· Quizzes

· Tests

· Etc.

Fourth Quarter Benchmarks

NUMBER SENSE

1. Read, write and understand Roman Numerals to the ten thousands

ESTIMATION/COMPUTATION

1. Square roots: evaluate expressions using square roots and calculate the square of any number under 100

2. Money concepts – calculate sales tax

3. Find a whole from a known fraction

4. Find a whole from a known percent

5. Estimate square roots

6. Multiply/divide integers

7. Solve simple interest problems (amount x rate x time)

REASONING/PROBLEM SOLVING

1. Finding more than one percent in a group

2. Make predictions and decisions based on information

3. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning and concepts

MEASUREMENT

1. Convert units of measure using liquids: gallon, quart, pint, cup

2. Define and solve problems using mass and weight

ALGEBRAIC FUNCTIONS/MATH MODELS

1. Apply algebraic concepts using addition and subtraction

2. Complete a function table by extending simple patterns and identifying a rule (function) that generates the pattern using whole numbers, decimals, fractions as inputs

3. Use patterns and functions to represent and solve simple problems

GEOMETRY

1. Use a compass to measure an angle

2. Use a protractor to measure an angle

3. Determine the area of complex shapes

4. Calculate volume/area of complex prisms

5. Classify triangles

6. Determine the area of circles

7. Know and understand the use of Pi

8. Measure a circle using circumference

9. Calculate circumference of a circle

10. Identify congruence, similarities, and line symmetry of shapes

11. Describe reflections, translations, and rotations on various shapes

12. Determine volume of a cylinder

13. Construct bisectors in a given angle

14. Know the 180 degree sum of all the angles in a triangle

15. Recognize and continue a number pattern and/ or geometric representation

16. Determine the perimeter of complex shapes

17. Describe, classify, and understand relationships among types of one, two, and three dimensional objects using their defining properties

DATA ANALYSIS, PROBABILITY AND STATISTICS

1. Use proportions to solve ratio word problems

2. Use proportions to solve percent problems

3. Find the probability of a series of events