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What's Up In Math?

 

 

What's Up In Math?

Kindergarten

Math: Unit 1

MKG2.a: Identify when an object is beside another object, above another object, or below another object.

MKG2.b: Identify when an object is in front of another object, behind another object, inside another object or outside it. 

Standards and elements that are introduced, developed, reviewed, and/or briefly addressed in unit.

MKM2.a: Know the names of the days of the week.   ** Other calendar elements should be introduced and taught throughout the year, but will be assessed in unit 8. (MKM2a/b/c and MKM3a/b/c) 

MKN1.a: Count a number of objects up to 30.  

MKN1.e: Compare two or more sets of objects (1-10) and identify which set is equal to, more than, or less than the other.

First Grade

Second Grade

Standards/elements assessed at the end of this unit:  

M2N1.b: Understand the relative magnitudes of numbers using 10 as a unit, 100 as a unit, or 1000 as a unit. Represent 2-digit numbers with drawings of tens and ones and 3-digit numbers with drawings of hundreds, tens, and ones.

M2N2.a: Correctly add and subtract two whole numbers up to three digits each with regrouping.

M2N2.b: Understand and use the inverse relation between addition and subtraction to solve problems and check solutions.

M2N2.c: Use mental math strategies such as benchmark numbers to solve problems.

M2N2.d: Use basic properties of addition (commutative, associative, and identity) to simplify problems (e.g. 98+17 by taking two from 17 and adding it to the 98 to make 100 and replacing the original problem by the sum 100+15).

M2N3.b: Use repeated addition, arrays, and counting by multiples (skip counting) to correctly multiply 1-digit numbers and construct the multiplication table. Note: Skip counting only. Multiplication is addressed in unit 5.

M2N3.d: Use repeated subtraction, equal sharing, and forming equal groups to divide large collections of objects and determine factors for multiplication. Note: Only equal grouping will be assessed. Division is further addressed in unit 5.

M2N5.a: Include the use of boxes or ___ to represent a missing value.

M2N5.b: Represent problem solving situations where addition, subtraction or multiplication may be applied using mathematical expressions. Note: Addition and subtraction only. Multiplication will be addressed in unit 5.

Additional standards/elements introduced, developed, and/or briefly addressed in this unit:

M2N1.a: Represent numbers using a variety of models, diagrams, and numbers sentences (e.g., 4703 represented as 4,000 + 700 + 3, or 47 hundreds and 3 ones, or 4,500 + 203.)

M2N1.c: Use money as a medium of exchange. Count back change and use decimal notation and the dollar and cent symbols to represent a collection of coins and currency.

 

Third Grade

N1.a

bulletThe student understands that the base ten place value system is the way that we communicate and represent anything we do with whole numbers and decimals.

N1.b

bulletThe student understands that digits have values based upon their placement within the number. 
bulletThere are various ways to represent the same number.

N2.a

bulletThe student understands that the properties of addition and subtraction are used for computing when problem solving.
bulletThe student understands that addition and subtraction are inverse operations that verify the problem solving.

N2.b

bulletStudents should understand that sometimes an exact number is needed and in some circumstances an estimate is sufficient.
bulletStudents should understand that there is more than one correct way to solve mental math problems. 

N2.c 

bulletThe student understands that there are various strategies in solving word problems.

A1.c

bulletThe student understands that a symbol represents an unknown value in a mathematical equation.
bulletThe student understands that symbolism, especially involving equations and variables, is used to express the generalizations from arithmetic and the structure of the number system.
bulletThe student understands that an unknown quantity can be determined by using inverse operations.

 

Fourth Grade

Fifth Grade

M5N1.a

bulletThe number one is neither prime nor composite but unique. Because the number one is only divisible by itself, it is not prime. Because the number one has one factor it is not composite.
bulletAn even number is a whole number that is divisible by 2.   2,4,6,8,10…
bulletAn odd number is a whole number that is not divisible by 2.   1,3,5,7,9,11,…
bulletA prime number is a number with exactly two factors, itself and 1. 
bulletA factor is a whole number that divides a nonzero whole number with a remainder of zero
bulletA composite number is a number that has more than two factors.

M5N1.b

bulletA factor is a whole number that divides a nonzero whole number with remainder 0.
bulletWhen two or more numbers are multiplied, each number is a factor of the product
bulletA common factor is a factor that is the same for  two or more numbers
bulletThe prime factorization of a composite number is written as a product of prime numbers. Each composite number has only one prime factorization
bulletA multiple of a number is the product of that number and a nonzero whole number.
bulletA common multiple is a multiple that is the same for two or more numbers.  

M5N1.c

bulletA whole number is divisible by a second whole number if the first number can be divided by the second number with a remainder of zero.
bulletA whole number is divisible by
bullet2, if the number ends in 0, 2, 4, 6, or 8.
bullet3, if the sum of the number’s digits is divisible by 3.
bullet4, if the number espressed by the tens and ones place is divisible by 4.
bullet5, if the number ends in 0 or 5.
bullet6, if the number is divisible by both 2 & 3 then it is divisible by 6.
bullet9, if the sum of the number’s digits is divisible by 9
bullet10, if the number ends in 0.

M5N2.b

bulletPlace value of whole numbers and decimals.
bulletPatterns exist in number systems.
bulletThe use of zero in place value is important.
bulletThere is a relationship between corresponding place values.
bulletMultiplying by a whole number will result in a larger product.

What students should be able to do:

M5N1.a

bulletClassify whole numbers as odd/even
bulletClassify whole numbers as prime/composite
bulletExplain the reasoning used to determine whether a number is odd, even, prime, or composite

M5N1.b

bulletFind the multiples and factors of a number
bulletFind the prime factorization of a number

M5N1.c

bulletTest numbers for divisibility by 2, 3, 5, 6, 9, and 10.

M5N2.b

bulletUse patterns identified to create a set of generalizations about multiplying any number by 10, 100, 1000, 0.1, and 0.01.

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Last updated Wednesday September 03, 2008 09:20 AM -0400