[PDF] Michigan Math Standards



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Michigan Math Standards

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Mathematics

Bloomfield Township

Ann Arbor

Evart

Detroit

East Lansing

Birmingham

Detroit

Rochester Hills

Ex Officio

Superintendent of Public Instruction

Ex Officio

Deputy Superintendent and Chief Academic Officer

Office of Education Improvement and Innovation

Welcome

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Linda Forward, Director

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Vanessa Keesler, Deputy Superintendent

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Grade 1 Q7Te

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High School - Number and Quantity

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are groups of related standards. Note that standards from different clusters may sometimes be closely related, because mathematics is a connected subject.

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are larger groups of related standards. Standards from different domains may sometimes be closely related. DGUo|2

1. Use place value understanding to round whole numbers to the nearest

10 or 100.

2. Fluently add and subtract within 1000 using strategies and algorithms

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based on place value, properties of operations, and/or the relationship between addition and subtraction.

3.Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 80, 5 60) using strategies based on place value and

properties of operations. These Standards do not dictate curriculum or teaching methods. For example, just because topic A appears before topic B in the standards for a given grade, it does not necessarily mean that topic A must be taught before topic B. A teacher might prefer to teach topic B before topic A, or might choose to highlight connections by teaching topic A and topic B at the same time. Or, a teacher might prefer to teach a topic of his or her own choosing that leads, as a byproduct, to students reaching the standards for topics A and B. What students can learn at any particular grade level depends upon what they have learned before. Ideally then, each standard in this document might have been phrased in the form, "Students who already know ... should next come to learn ...." But at present this approach is unrealistic-not least because existing education research cannot specify all such learning pathways. Of necessity therefore, grade placements for specific topics have been made on the basis of state and international comparisons and the collective experience and collective professional judgment of educators, researchers and mathematicians. One promise of common state standards is that over time they will allow research on learning progressions to inform and improve the design of standards to a much greater extent than is possible today. Learning opportunities will continue to vary across schools and school systems, and educators should make every effort to meet the needs of individual students based on their current understanding. These Standards are not intended to be new names for old ways of doing business. They are a call to take the next step. It is time for states to work together to build on lessons learned from two decades of standards based reforms. It is time to recognize that standards are not just promises to our children, but promises we intend to keep.

INTRODUCTION |

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1.Count to 100 by ones and by tens.

2.Count forward beginning from a given number within the known

sequence (instead of having to begin at 1).

3.Write numbers from 0 to 20. Represent a number of objects with a

written numeral 0-20 (with 0 representing a count of no objects).

4.Understand the relationship between numbers and quantities; connect counting to cardinality.

Ă͘When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.

Đ͘Understand that each successive number name refers to a quantity that is one larger.

5.Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.

6. .eŽ'OA 1. T 2 Drawings need not show details, but should show the mathematics in the problem. T (This applies wherever drawings are mentioned in the Standards.) T

KINDERGARTEN |

11 .eŽ'NŠT

1. Compose and decompose numbers from 11 to 19 into ten ones and

some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 +

8); understand that these numbers are composed of ten ones and one,

two, three, four, five, six, seven, eight, or nine ones.

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