MATH
Kyrene Math Curriculum Reorganized to be used for IEP Goals and Short-Term Objectives Numeration Operations Addition/Subtraction Multiplication/Division Rational and Irrational Numbers Fractions, Decimals, Percents, and Ratios Money Reasoning and Problem Solving Communication/Connections Measurement Identify, Understand and Use Geometry Use and Understand Statistics, Data Analysis, and Probability Patterns, Algebra, and Functions Numeration| Grades K,1
Conservation of numbers |
|
|
K |
Develop an understanding of number meanings and relationships for numbers through 20 |
|
1 |
Develop an understanding of number meanings and relationships for numbers through 110 |
| Grades
K,1,2
Demonstrate one-to-one correspondence between elements in collections (sets) (e.g. nine blocks is as many as nine ducks) |
|
|
K |
Identify everyday number uses |
|
K |
Count up to 100 objects, sets, events, people, or living things |
|
K |
Write numerals to 20; label groups of objects to 20 |
|
K |
Match sets of items with similar sets |
|
1 |
Write numerals to 110: label groups of objects |
|
1 |
Count and label up to 100 objects, sets, events or people |
|
1 |
Model or describe a number in different ways using fact families and numbers in everyday use |
|
2 |
Write numerals to 1,000 |
|
2 |
Count objects up to 1,000 |
|
3 |
Write numerals to 100,000 |
| Grades
K,1,2,3
Count forward and backward |
|
|
K |
Count from different numbers by 1ís, 2ís, 5ís and 10ís to 20 and backward by 1ís from 20 |
|
K,1 |
Count from different numbers by 1ís, 2ís, 5ís and 10ís to 110 and |
|
K,1 |
Count backwards by 1ís from 100 |
|
1 |
Count backwards by 1’s from 500 |
|
2 |
Count by 1ís, 2ís, 5ís, 10ís, 100ís forward or backwards up to 1,000 |
|
3 |
Count by/from different numbers 1ís, 2ís, 3ís, 5ís, 10ís, 100’s forward or backwards up to 1,000 |
| Grades
K,1,2,3,4,5,6,7
Compare and order numbers |
|
|
K |
Develop number sense by discussing everyday number uses |
|
K |
Identify one to ten more up to 20 |
|
K |
Compare numbers 1 to 20 using terms: equal, unequal, more, and less |
|
1 |
Order whole numbers smallest to largest, largest to smallest to 100 |
|
1 |
Compare numbers using >, <, =, through 100 |
|
1 |
Identify one to ten more, one to ten less up to or from 100 |
|
2 |
Order a sample set of whole numbers smallest to largest, largest to smallest to 1,000 |
|
2 |
Compare numbers using >, < to 1,000 |
|
2 |
Identify one to ten more, one to ten less, up to or from 1,000 |
|
3 |
Order a sample of whole numbers smallest to largest, largest to smallest to 100,000 |
|
3 |
Compare numbers using >, <, =, through 100,000 |
|
4 |
Write numerals to million |
|
4 |
Order a sample set of whole numbers smallest to largest, largest to smallest to one million |
|
4 |
Compare numbers using <, >, =, through one million |
|
5 |
Write numerals to one billion |
|
5 |
Order a sample set of whole numbers smallest to largest and largest to smallest to one billion |
|
5 |
Compare numbers using >, <, =, through one billion |
|
6 |
Compare two numbers or expressions using >,<,= |
|
6 |
Compare and order decimals to the millionths place |
|
6 |
Define the relationship of the sets of integers, rational numbers and whole number |
|
7 |
Write equations and inequalities to compare numbers ( <, >, ¹ ) |
|
7 |
Define the relationship of the sets of counting numbers, whole numbers, integers and rational numbers |
|
7 |
Compare and order decimals |
| Grades K,1
Identify place value of the specified digit of a whole number |
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|
K |
Write and rename numbers in terms of expanded notation |
|
K |
Using manipulatives represent place value concepts to ten |
|
1 |
Write and rename numbers in expanded notation through 100 |
|
1 |
Construct concrete and illustrative models to represent place value to 100 |
| Grades
2,3,4,5
Identifies place value of the specified digit of a number |
|
|
2 |
Write numbers in expanded notation |
|
1,2,3,4,5 |
Convert numbers in base 10 to/from expanded notation |
|
2 |
Construct models, concrete and illustrative to represent place value to 1,000 |
|
2 |
Identify decimals to the hundredths place |
|
3,4 |
Write and rename numbers in expanded notation |
|
3 |
Identify place value of decimals to the hundredths place |
|
3,4,5 |
Identify place of value of decimals to the thousandths place |
|
4 |
Represent place value using concrete or illustrated models to millions |
|
4,5 |
Write, identify and rename numbers in terms of ones, tens, hundreds, thousands, millions, billions |
|
5 |
Represent place value using concrete or illustrated models to one billion |
|
5 |
Identify the place value of a decimal to the millionth place |
| Grades
K,1,2,3,4,5
Read whole numbers |
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|
K |
Read whole numbers through 20 |
|
K |
Read whole numbers through 100 |
|
1 |
Read whole numbers through 500 |
|
2 |
Read whole numbers through 1,000 |
|
3 |
Read whole numbers through one hundred thousand |
|
4 |
Read whole numbers through one million |
|
5 |
Read whole numbers through one billion |
| Read exponential form - powers of 10 | |
| Grades
1,2,3,4,5
Round numbers to a designated place value |
|
|
1,2 |
Round whole numbers |
|
3,4 |
Round numbers (whole/decimals) |
|
5 |
Round any number |
| Grades
K,1,2,3,4,5
Compare sets of objects and quantities to develop, explain and identify concepts including equal, unequal, more than, less than, odd and even |
|
|
K,1,2,3,4,5 |
Use terms including equal, unequal, more than, less than to compare sets |
|
K,1 |
Identify odd and even numbers up to 100 |
|
1,2 |
Identify odd and even numbers up to 500 |
|
2,3,4 |
Identify odd and even numbers up to 1,000 |
|
3,4 |
Compare and explain whole numbers, decimals, fractions and percents using the terms equal, unequal, more than, less than, odd, even |
| Grades
3,4,5
Relate the terms of prime, composite, multiple and factor |
|
|
3,4,5 |
Compare the attributes of multiple and factor |
|
3,4,5 |
Compare the attributes of prime and composite |
| Grade 6
Use integers in mathematical equations |
|
|
6 |
Add and subtract integers |
|
6 |
Multiply and divide integers |
|
6 |
Calculate quotients and products for rational numbers using a calculator |
| Grades 6,7
Estimate answers to calculations with any number |
|
|
6,7 |
Round decimals to specified place |
|
6,7 |
Estimate answers to calculations involving rational numbers |
| Grades 6,7
Use properties of operations |
|
|
6,7 |
Apply the Commutative Property for +, x |
|
6,7 |
Apply the Associative Property for x,+ |
|
6,7 |
Apply the Distributive property for +, x |
|
6,7 |
Apply the Zero properties for +, x |
|
6,7 |
Apply the Identity elements for +, x |
| Grades 6,7
Convert standard notation to scientific notation and vice versa |
|
|
6,7 |
Express very large and small numbers in scientific notation |
|
6,7 |
Rename a number in scientific notation to standard notation |
| Grades 6,7
Determine square root of a perfect square |
|
|
6,7 |
Know the squares of numbers from 1 through 25 |
|
6,7 |
Know the square roots of perfect squares through 625 |
|
6,6 |
Demonstrate that finding a square root and squaring a number are inverses |
|
6,7 |
Estimate the square root of any number less than 1000 |
| Grades 7
Solve problems involving ratios, proportions and percents using concrete and illustrative models |
|
|
7 |
Use ratios and proportions to solve a given problem |
|
7 |
Express
ratio in different forms a to b, a:b, a b |
| Grade 7
Use If. . . then statements to construct simple valid arguments |
|
|
7 |
Construct simple valid arguments using If... then statements |
| Grade 8
Rational and irrational numbers |
|
|
8 |
Identify rational and irrational numbers |
Operations
| Grades
K,1,2,3,4,5,6,7,8
Mathematics vocabulary |
|
|
K |
Demonstrate meaning of vocabulary/terms at the kindergarten level |
|
1 |
Demonstrate meaning of vocabulary/terms at the first grade level |
|
2 |
Demonstrate meaning of vocabulary/terms at the second grade level |
|
3 |
Demonstrate meaning of vocabulary/terms at the third grade level |
|
4 |
Demonstrate meaning of vocabulary/terms at the fourth grade level |
|
5 |
Demonstrate meaning of vocabulary/terms at the fifth grade level |
|
6 |
Demonstrate meaning of vocabulary/terms at the sixth grade level |
|
7 |
Demonstrate meaning of vocabulary/terms at the seventh grade level |
|
8 |
Demonstrate meaning of vocabulary/terms at the eight grade level |
| Grades
1,2,3,4
Identify and use symbols |
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|
1,2,3 |
Identify and use the symbols +, - and = |
|
2,3,4, |
Identify and use the symbols +, - , x, ÷ and = |
|
2,3,4 |
Identify and use the symbols +, - , x, ÷ , >, < and = |
| Grades
1,2,3,4,5,6
Recognize and use horizontal and vertical notation |
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|
1,2,3,4 |
Recognize and use horizontal and vertical notation for addition and subtraction |
|
2,3,4,5,6 |
Recognize and use horizontal and vertical notation for multiplication, division, fractions and decimals |
| Grades
K,1,2,3,4
Write number sentences with and without manipulatives |
|
|
K,1,2,3,4 |
Write number sentences for + and - with and without manipulatives |
|
2,3,4 |
Write number sentences for x and ÷ with and without manipulatives |
| Grades
K,1,2,3,4
Determine and state a rule for the relationship among a series of numbers which follow a pattern |
|
|
K,1,2 |
State and demonstrate a continuation of a pattern that represents an identified rule |
|
3,4 |
Analyze a series of numbers using the operations of +, -, x in any combination to determine a pattern |
|
4 |
Identify, describe and continue patterns and state a rule or prediction about the continuation of the patterns |
| Grades
1,2,3,4,5
Identify examples of negative numbers in everyday life |
|
|
1,2 |
Explore the significance of negative numbers with reference to zero point in real life |
|
3,4,5 |
Write and explain the significance of negative numbers with reference to zero point in real life |
| 4,5
Use negative numbers in mathematical equations |
|
|
4,5 |
Use negative numbers in addition and subtraction problems |
|
4,5 |
Use negative numbers in multiplication and division problems |
|
5 |
Calculate products and quotients for negative numbers using a calculator or computer |
| Grades
3,4,5,6,7
Use rules of order of operations |
|
|
3 |
Use the
order op operation rule:
( ), X or ÷ , + or - |
|
4,5 |
Use the
order op operation rule:
( ), exponent, X or ÷ , + or - |
|
6,7 |
Evaluate mathematical expressions following rules for order of operations with: ( ) exponents, x, ÷ , +, - |
| Grades 6,7
Relate arithmetic operations to one another |
|
|
6,7 |
Write equations to show the inverse operations |
|
6 |
Identify the identity elements for addition and multiplication |
|
7 |
Use the identity elements for addition and multiplication in operations |
| Grades 6,7
Use properties of operations |
|
|
6,7 |
Apply the Commutative Property for +, x |
|
6,7 |
Apply the Associative Property for x,+ |
|
6,7 |
Apply the Distributive property for +, x |
|
6,7 |
Apply the Zero properties for +, x |
|
6,7 |
Apply the Identity elements for +, x |
| Grades
K,1,2,3,4
Determine addition and subtraction fact families and their relationships |
|
|
K |
Mentally and in writing add or subtract whole numbers 0 through 18 with sums less than 18 and differences of 19 or less |
|
K |
Fluently add or subtract whole number 0 through 10 with sums less than 10 and differences of 9 or less with manipulatives |
|
K |
Model or describe a number in different ways using fact families |
|
K,1 |
Explain fact family relationships |
|
2 |
Fluently add or subtract whole numbers 0 through 20 with sums less than 20 and differences of 19 or less mentally and in writing at a rate of 20 facts per minute |
|
K,1,2 |
Explain fact family relationships (i.e. Write family of equations using inverse operations for whole numbers) |
|
3 |
Fluently add or subtract whole numbers 0 through 20 with sums less than 20 and differences of 19 or less mentally and in writing at a rate of 30 facts per minute |
|
3,4 |
Explain fact family relationships i.e., write the family of equations using inverse operations for whole numbers with addition and subtraction (4+5=9, 5+4=9, 9-4=5, 9-5=4) |
|
4 |
Fluently add or subtract whole numbers 0 through 20 with sums less than 20 and differences of 19 or less mentally and in writing at a rate of 100 facts per 5 minutes |
| Grades
K,1,2,3,4,5
Calculate sums and differences of whole numbers |
|
|
K |
Add and subtract with concrete objects to 10 |
|
K |
Add and subtract with concrete objects to 20 |
|
1,2,3 |
Add and subtract single digit numbers 0-5 |
|
1,2,3 |
Add and subtract single digit numbers 0-10 |
|
1,2,3 |
Add and subtract single digit numbers 0-18 |
|
K,1,2,3 |
Calculate sums and differences of 2-digit whole numbers without regrouping |
|
2,3 |
Calculate sums and differences of 2-digit whole numbers with regrouping once |
|
2,3 |
Calculate sums and differences of 2-digit whole numbers with regrouping twice |
|
2,3 |
Calculate sums of 3 or 4-digit whole numbers without regrouping |
|
2,3 |
Calculate sums of 3 or 4-digit whole numbers with regrouping |
|
3,4,5 |
Calculate sums of whole numbers with any number of digits through millions |
|
2 |
Add and subtract decimals as they relate to money amounts up to $10.00 |
| Add 3 3-digit numbers | |
| Add 4 3-digit numbers | |
| Add 2 4-digit numbers | |
| Add 3 4-digit numbers | |
| Add 2 5-digit numbers | |
| Add 3 5-digit numbers | |
| Grades
K,1,2,3,4,5
Calculate sums and differences of whole numbers using a calculator |
|
|
K |
Calculate using a calculator or computer sums of 2 numbers |
|
1 |
Calculate using a calculator or computer sums and differences of two digit numbers |
|
1 |
Calculate using a calculator or computer sums and differences three digit numbers |
|
2 |
Calculate using a calculator or computer sums and differences of 2 or 3 digit numbers |
|
3,4,5 |
Calculate using a calculator or computer sums or differences of any whole number |
| Grades
K,1,2
Perform operations with more than two numbers |
|
|
K |
Compute sums for three single digit addends with sums up to ten |
|
K |
Compute sums for three single digit addends, compute sums up to 20 |
|
1 |
For three single digit addends compute sums |
|
1,2 |
Use calculator to compute sums of multiple numbers |
|
2 |
Compute sums of at least three 2 or 3 digit numbers |
Multiplication/Division
| Grades
2,3,4
Use multiplication and division facts/families |
|
|
2 |
Compute multiplication and division facts through factors of 10 (10 facts per minute) |
|
3 |
Fluently compute multiplication and division facts through factors of 10 (20 facts per minute) |
|
3 |
Fluently compute multiplication and division facts through factors of 12 (20 facts per minute) |
|
4 |
Fluently compute multiplication and division facts through factors of 12 (100 facts per 5 minutes) |
|
2,3,4 |
Explain and construct arrays to demonstrate the fact families of division and multiplication |
|
2,3 |
Explain fact family relationships. Write the family operations using inverse operations for whole numbers with multiplication and division (3x5=15, 5x3=15, 15÷ 3=5, 15÷ 5=3) |
| Grades
2,3,4,5
Compute using multiplication/division operation |
|
|
2,3,4 |
Multiply by 10 |
|
2,3,4 |
Multiply by 100 |
|
2,3,4 |
Multiply by 1000 |
|
2,3,4 |
Divide numbers by 10 |
|
2,3,4 |
Divide numbers by 100 |
|
2,3,4 |
Divide numbers by 1000 |
|
2,3,4 |
Calculate products where one factor is a one-digit number |
|
3,4 |
Calculate products with two 2 digit factors |
|
3,4 |
Calculate quotients with one digit divisors |
|
4,5 |
Calculate quotients with two digit divisors and up to four digit dividends |
|
5 |
Calculate any number using multiplication or division |
|
5 |
Calculate multiplication and division facts with speed and accuracy |
|
2,3,4,5 |
Calculate products/quotients using calculator or computer |
| Grades
5,6,7
Calculate powers |
|
|
5,6 |
Calculate powers of ten for expanded notation problems |
|
5,6,7 |
Calculate the value of numbers written in exponential form |
|
5,6,7 |
Distinguish base from exponent in a power |
|
5 |
Recognize that exponents are written in "superscript" |
|
5,6,7 |
Use calculator to compute using powers and roots |
|
5 |
Use exponents to show powers and calculate number written in powers |
|
7 |
Rewrite a standard number in exponential form |
|
7 |
Rewrite equations to show that raising to a power and finding a root are inverses |
|
7 |
Multiply and divide powers |
|
7 |
Factor a number less than 100 into a product of its primes |
|
7 |
Express prime factorization in exponential form |
| Grades
4,5,6,7
Use primes, composites, multiples and factors for determining greatest common factor, least common multiple and prime factorization |
|
|
4,5,6 |
Select appropriate procedures for calculating GCF and LCM |
|
5,6,7 |
Determine prime factors of a given number |
|
6,7 |
Classify numbers as prime or composite |
|
6 |
Compare terms multiple and factor |
|
6 |
Define attributes of prime and composite |
|
7 |
Use divisibility rule to determine factors |
|
7 |
Find the LCM of sets of numbers |
|
7 |
Find the GCF of two or more integers or monomials |
Rational and Irrational Numbers
| Grades 6,7
Compute with rational numbers |
|
|
6,7 |
Calculate with rational numbers using any operations |
|
6,7 |
Calculate rational number problems in contextual situations |
|
6,7 |
Calculate quotients and products for very large and small rational numbers using a calculator |
| Grade 8
Identify rational and irrational numbers |
|
|
8 |
Identify rational and irrational numbers |
Fractions, Decimals, Percents, and Ratios
| Fractions | |
| Grades
K,1,2,3,4,5
Identify, read and write fractions |
|
|
K,1,2 |
Define a ìfractionî as a part of a whole or set |
|
K |
Identify a given fractional part of a whole set, array, or region using pictures or models (1/2) |
|
1,2 |
Accurately represent a given fraction using shading or circling models |
|
1 |
Identify a numerator and a denominator in a fraction |
|
1,2 |
Read and write fractions such as 1/2, 1/3, 1/4, 2/3, and 3/4 |
|
1,2 |
Identify and label a given fractional part of a whole set, array, or region using pictures or models (1/2, 1/4, 1/3) |
|
2 |
Identify a numerator and a denominator in a fraction |
|
2 |
Read proper fractions with denominators of 2, 3, 4, 8, 10 |
|
2 |
Identify a given fractional part of a region using pictures or models |
|
3 |
Explain the meaning of numerator and denominator |
|
3 |
Read proper fractions with denominator ranging from 2 - 16, and 100; and numerators starting with 1 |
|
3,4 |
Identify and read labels of a fractional part of a region or set or array |
|
3,4,5 |
Read and write proper and improper fractions and mixed numbers |
|
3,4 |
Identify a given fractional part of a set, array, or region using pictures or models |
| Grades
1,2,4,5
Compare and order fractions and mixed numbers |
|
|
1,2 |
Order fractions with denominators of: 2, 3, and 4; least to greatest and greatest to least using concrete models |
|
1,2 |
Compare fractions with denominators of 2, 3, and 4 using >, <, = symbols |
|
4 |
Order fractions and mixed numbers least to greatest and greatest to least |
|
4,5 |
Compare fractions and mixed numbers using > < = |
|
5 |
Order fractions and mixed numbers least to greatest and greatest to least |
| Grades
2,3,4,5
Determine equivalent fractions/mixed numbers |
|
|
2,3,4 |
Make equivalent fractions to 1/4, 1/2 and 1/8 using algorithms and concrete models |
|
3,4,5 |
Determine equivalent fractions using lowest terms |
|
4,5 |
Rename a mixed number to improper fractions and improper fractions to mixed numbers using denominators up to 100 |
| Grades 4,5
Add and subtract proper fractions with like denominators |
|
|
4,5 |
Add and subtract proper fractions with like denominators of 2, 3, 4, 5, 6, 8 |
|
4 |
Add and subtract proper fractions with unlike denominators of 2, 3, 4, 5, 6, 8 |
|
5 |
Add and subtract proper fractions with like or unlike denominators of 2, 3, 4, 5, 6, 8 |
|
5 |
Add and subtract proper, improper fractions and mixed numbers with like and unlike denominators of 2, 3, 4, 5, 6, 8 |
| Grades 6
Add and subtract fractions |
|
|
6 |
Add and subtract proper fractions with like or unlike denominators of 2, 3, 4, 5, 6, 8, 9, 10, 12 |
|
6 |
Add and subtract proper and improper fractions and mixed numbers with like and unlike denominators of 2, 3, 4, 5, 6, 8, 9, 10, 12 |
| Grades 5,6
Multiply fractions |
|
|
5,6 |
Multiply proper and improper fractions, mixed numbers and whole numbers |
| Grades 5,6
Divide fractions |
|
|
5,6 |
Divide proper and improper fractions, mixed numbers, and whole numbers |
| Decimals | |
| Grades
K,1,2
Use ordinal numbers to demonstrate understanding of relationships |
|
|
K,1,2 |
Describe or explain the location of something or someone using ordinal numbers through "tenth" |
| Grades
2,3,4,5,6,7
Identify, read and write decimals |
|
|
2,3,4 |
Read and write decimals as they relate to money |
|
3,4 |
Read and write decimals as they relate to fractions/decimals |
|
5 |
Read and write decimals as they relate to money/fractions/decimals |
|
5 |
Read and write decimals as they relate to percent |
|
6 |
Read and write decimals to millionths |
|
6,7 |
Identify place value and total value of digits in a decimal |
| Grades
3,4,5
Compare and order decimals |
|
|
3,4,5 |
Order and compare decimals to the hundredths place |
|
4,5 |
Order and compare decimals to the thousandths place |
|
4,5 |
Order and compare decimals to the ten thousandths place |
| Grades
4,5,6
Add and subtract decimals |
|
|
4,5,6 |
Add and subtract decimals through the hundredths place |
|
4,5,6 |
Add and subtract decimals through the thousandths place |
|
4,5,6 |
Add and subtract decimals through the thousandths place and beyond |
| Grades
4,5,6
Multiply and divide decimals |
|
|
4,5 |
Multiply decimals to the hundredths place using concrete models |
|
4,5 |
Multiply decimals to the hundredths place |
|
4,5 |
Divide decimals to the hundredths place using concrete models |
|
4,5 |
Divide decimals to the hundredths place |
|
5 |
Use an algorithm to multiply decimals through thousandths place |
|
5 |
Use an algorithm to divide decimals with dividends to the thousandths place |
|
6 |
Multiply and divide decimals through thousandths place |
| Grades
3,4,5
Round decimals |
|
|
3,4,5 |
Round decimals to the nearest whole number |
|
3,4,5 |
Round decimals to the nearest tenth |
|
3,4,5 |
Round decimals to the nearest hundredth |
|
3,4,5 |
Round decimals to the nearest thousandth |
| Grades
3,4,5
Add, subtract, multiply, divide any size decimal using technology |
|
|
3,4,5 |
Add, subtract, multiply, divide any decimal with use of a calculator or computer |
| Percents | |
| Grades 4,5
Read, write and define percents |
|
|
4,5 |
Define, read and write percent up to 100% |
|
4 |
Define percent and its relationship to a whole |
| Grades
4,5,6,7,8
Calculate the percent of a number |
|
|
4,5 |
Calculate percent from fractions, decimals and ratios |
|
5 |
Calculate percentage i.e. ______% of 360 = ; 36 is what % of 45; |
|
6,7 |
Find missing values in percent calculations |
|
8 |
Calculate the percent increase or decrease of a number |
| Calculate interest rate | |
| Solve a variety of interest rate problems | |
| Comparing and using fractions, percents, and decimals | |
| Grades
3,4,5,6,7
Demonstrate equivalency between fractions, percents, and decimals |
|
|
3 |
Recognize common fractions, i.e. 1/4, 1/2, 3/4, and 1/10 as decimals |
|
4,5 |
Convert proper fractions with denominators of 2, 4, 5, 10 and 100 to equivalent decimals or percents |
|
4,5 |
Use a calculator or computer to convert any proper fraction to equivalent decimal or percent |
|
4 |
Calculate non-repeating decimals to fractions with the use of a calculator or computer |
|
4,5 |
Recognize common fractions i.e. 1/4, 1/2, 3/4, 1/10 as decimals |
|
4,5 |
Convert decimals of tenths or hundredths to percents |
|
3 |
Order fractions with denominators of: 2, 3, and 4 and least to greatest and greatest to least using concrete models |
|
3 |
Compare fractions with denominators of 2,3 and 4 using < > = symbols |
|
3 |
Compare fractions (> < =) with denominators of 2, 3, 4, 5, 6, and 8 |
|
5 |
Calculate the conversion of any fraction or percent to a decimal |
|
5 |
Use a calculator or computer to convert any proper fraction to equivalent decimal or percent |
|
6,7 |
Rename a mixed number in a different form |
|
6,7 |
Simplify fractions to lowest terms |
|
6,7 |
Convert any fraction to any decimal or percent using a calculator |
|
6 |
Express the comparison of unlike units as a ratio |
|
7 |
Represent and use numbers in equivalent forms: decimals as fractions, decimals as percents, fractions as decimals, fraction as percents, percents as decimals and fractions |
|
7 |
Describe the relationship and difference between fraction and ratio |
|
7 |
Determine equivalent forms: ratio to percent, ratio to fraction, ratio to decimal |
| Grades 6
Represent and use numbers in equivalent forms |
|
|
6 |
decimals as fractions |
|
6 |
decimals as percents |
|
6 |
fractions as decimals |
|
6 |
fractions as percents |
|
6 |
percents as decimals |
|
6 |
percents as fractions |
|
6 |
ratio to percent |
|
6 |
ratio to fraction |
|
6 |
ratio to decimal |
| Grades
1,2,3,4
Recognize, count and compare units of money |
|
|
1,2,3 |
Understand the use of money |
|
1 |
Identify, count and compare the value of a penny, nickel, dime, quarter, and a dollar up to $3.00 |
|
1,2,3 |
Identify and write symbols for dollar and cent |
|
1 |
Use symbols to represent dollars and cents values |
|
2 |
Identify, count and compare values up to $10.00 |
|
3 |
Identify, count and compare values up to $20.00 |
|
4 |
Identify, count, and compare values |
| Grades
1,2,3,4,5
Make change |
|
|
1 |
Count change for a $1.00 |
|
2 |
Make and count back change from $1.00 |
|
2,3 |
Make and count back change from $10.00 |
|
4,5 |
Count back change from $100.00 |
| Grades
1,2,3
Identify equivalent coins and currency |
|
|
1,2 |
Identify equivalent coins and currency to 25 cents |
|
1,2 |
Identify equivalent coins and currency to 50 cents |
|
1,2 |
Identify equivalent coins and currency to $1.00 |
|
1,2 |
Identify equivalent coins and currency to $10.00 |
|
1,2,3 |
Identify equivalent coins and currency to $20.00 |
|
1,2,3 |
Identify equivalent coins and currency to $100.00 |
|
1,2,3,4 |
Identify equivalent coins and currency to $100.00 and beyond |
| Grades
1,2,3,4,5
Represent decimals using figures, models, money and language |
|
|
1 |
Use money to explain decimals to hundredths place |
|
2,3 |
Use figures, models and/or money to explain decimals to hundredths place |
|
3,4,5 |
Use figures and/or models to explain decimals to thousandths place |
| Grades
4,5,6,7,8
Use checkbook/bank forms |
|
| Use a checkbook register to record deposits and withdraws | |
| Write checks for specific amounts - write amounts in number and word forms | |
| Complete deposit and withdraw slips | |
| Understand bank statements |
| Grades
Demonstrate problem solving strategies and estimation |
|
| Solve oral problems - add and subtract numbers 0-10 | |
| Solve oral problems - add and subtract numbers 0-18 | |
| Solve 1-step written problems - addition | |
| Solve 1-step written problems - subtraction | |
| Solve 1-step written problems - multiplication | |
| Solve 1-step written problems - division | |
| Choose operation and solve 1-step problems - +, - with and without regrouping | |
| Choose operation and solve 1-step problems - x, ÷ with and without regrouping | |
| Solve 1-step problems involving money | |
| Solve 1-step problems involving fractions | |
| Solve 1-step problems involving percents | |
| Solve 1-step problems involving time | |
| Solve 1-step problems involving proportions | |
| Solve 1-step problems involving decimals | |
| Solve 2-step problems involving whole numbers | |
| Solve 2-step problems involving decimals | |
| Solve 2-step problems involving fractions | |
| Solve a variety of 1 and 2-step word problems | |
| Estimate answers | |
| Solve interest rate problems | |
| Determine discounts | |
| Determine cost including sales tax | |
| Grades
K,1,2,3,4,5,6,7
Compare, classify, organize and analyze information |
|
|
K |
Compare and classify by physical attribute |
|
1,2,3,4,5,6,7 |
Classify and compare into groups and give the rule that governs membership |
|
1,2,3,4,5,6,7 |
Organize information |
|
2,3,4,5,6,7 |
Use patterns and relationships to analyze data |
| Grades
K,1,2,3,4,5,6,7
Understand and apply reasoning strategies |
|
|
K,1,2,3,4,5,6,7 |
Generalize a rule for extension of pattern |
|
K,1,2,3,4,5,6,7 |
Use models, facts and relationships to explain their thinking |
|
K,1,2,3,4,5,6,7 |
Apply reasoning processes to problems |
|
2,3,4,5,6,7 |
Recognize and apply inductive and deductive reasoning |
|
3,4,5,6,7 |