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Number Sense, Grades K-2: Training Day 1,
Number Sense

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Session 1: Number Sense – What is it and how can we help our students?

Number sense can be developed by using contexts from word problems and well-orchestrated classroom discussions known as number talks.  Writing your own grade level appropriate problems can help students explore the 11 types of problems within addition and subtraction and encourages the development of thoughtful questioning by both students and teachers. The continuum of strategies students typically use to solve problems will be a focus, allowing teachers to predict, assess, and describe the level students are at in solving problems. Understanding and discussing the continuum of solution strategies encourages greater sophistication in problem solving and deepens number sense among students. 

 

 

 

Teacher Materials

Number Sense.ppt
Participant Handout.pdf
Class Conversation 1.doc
Interview Add Sub Whole Num.doc
Classroom Conversation 2.doc
Math Talks.pdf
Domino Patterns 1-9.doc
Structuring 5 Combining CM.doc
Ten Frame Five Wise.doc
Ten Pair Wise.doc
Web Resources.doc



 



 

Standards addressed

View the Frameworks for the Minnesota Mathematics & Science Standards at: http://www.scimathmn.org/stemtc/

NUMBER & OPERATIONS

Primary Focus
Use objects and pictures to represent situations involving combining and separating.
K.1.2.1 Use objects and draw pictures to find the sums and differences of numbers between 0 and 10.
K.1.2.2 Compose and decompose numbers up to 10 with objects and pictures.

Primary Focus
Use a variety of models and strategies to solve addition and subtraction problems in real-world and mathematical contexts.
1.1.2.1  Use words, pictures, objects, length-based models (connecting cubes), numerals and number lines to model and solve addition and subtraction problems in part-part-total, adding to, taking away from and comparing situations.
1.1.2.2 Compose and decompose numbers up to 12 with an emphasis on making ten.
1.1.2.3 Recognize the relationship between counting and addition and subtraction . . .

Primary Focus
Demonstrate mastery of addition and subtraction basic facts; add and subtract one- and two-digit numbers in real-world and mathematical problems.
2.1.2.1 Use strategies to generate addition and subtraction facts including making tens, fact families, doubles plus or minus one, counting on, counting back, and the commutative and associative properties. Use the relationship between addition and subtraction to generate basic facts.
2.1.2.2 Demonstrate fluency with basic addition facts and related subtraction facts.
2.1.2.3 Estimate sums and differences up to 100.
2.1.2.4 Use mental strategies and algorithms based on knowledge of place value and equality to add and subtract two-digit numbers. Strategies may include decomposition, expanded notation, and partial sums and differences.
2.1.2.5 Solve real-world and mathematical addition and subtraction problems involving whole numbers with up to 2 digits.

Work on the primary focus standards and benchmarks will continue to help develop the following:
Understand the relationship between quantities and whole numbers up to 31.
K.1.1.2 Read, write, and represent whole numbers from 0 to at least 31. Representations may include numerals, pictures, real objects and picture graphs, spoken words, and manipulatives such as connecting cubes.
K.1.1.3 Count with and without objects, forward and backward to at least 20.
K.1.1.4 Find a number that is 1 more or 1 less than a given number.
K.1.1.5 Compare and order whole numbers, with and without objects, from 0 to 20.

Work on the primary focus standards and benchmarks will continue to help develop the following:
Count, compare and represent whole numbers up to 120, with an emphasis on groups of tens and ones.
1.1.1.1 Use place value to describe whole numbers between 10 and 100 in terms of tens and ones.
1.1.1.2 Read, write and represent whole numbers up to 120. Representations may include numerals, addition and subtraction, pictures, tally marks, number lines and manipulatives, such as bundles of sticks and base 10 blocks.
1.1.1.5 Compare and order whole numbers up to 120
1.1.1.6 Use words to describe the relative size of numbers.

Work on the primary focus standards and benchmarks will continue to help develop the following:
Compare and represent whole numbers up to 1000 with an emphasis on place value and equality.
2.1.1.1 Read, write and represent whole numbers up to 1000. Representations may include numerals, addition, subtraction, multiplication, words, pictures, tally marks, number lines and manipulatives, such as bundles of sticks and base 10 blocks.
2.1.1.2  Use place value to describe whole numbers between 10 and 1000 in terms of hundreds, tens and ones. Know that 100 is 10 tens, and 1000 is 10 hundreds.
2.1.1.5  Compare and order whole numbers up to 1000.

 ALGEBRA

Primary Focus
Use number sentences involving addition and subtraction basic facts to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.
1.2.2.1 Represent real-world situations involving addition and subtraction basic facts, using objects and number sentences.
1.2.2.2 Determine if equations involving addition and subtraction are true.
1.2.2.3 Use number sense and models of addition and subtraction, such as objects and number lines, to identify the missing number in an equation such as:  2 + 4 = ""; 3 + "" = 7;
5 = ¨ – 3.
1.2.2.4 Use addition or subtraction basic facts to represent a given problem situation using a number sentence.

Primary Focus
Use number sentences involving addition, subtraction and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.
2.2.2.1 Understand how to interpret number sentences involving addition, subtraction and unknowns represented by letters. Use objects and number lines and create real-world situations to represent number sentences.
2.2.2.2 Use number sentences involving addition, subtraction, and unknowns to represent given problem situations. Use number sense and properties of addition and subtraction to find values for the unknowns that make the number sentences true.

 


The Region 11 Math And Science Teacher Partnership (MSTP) 2014-2015 project
is funded through Title II, Part B of ESEA, as amended by the NCLB Act of 2001.


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