Math Interventions

Math Interventions


Understanding Foundational Skills for Number Sense-

These are Prerequisites for student success in multi-digit computation.  This comes before or simultaneously during instruction of computation.  


Mastered in Kindergarten-

Number Concepts:

What is it?

1.  Identify the number instantly in standard form

2.  Identify number in its variance

3.  Can associate a “number” contextually

       4.  Recognize where it is in different ways ( 1, 61, 314)


Q: How do you know a student has mastered Number Concepts?

A: Number Concept Markers

1. Lexical entries for number (develop language for numbers) 1,2.3.4.5.. Counting starting at zero and non zero positions

By end of K master counting by 1, 2, 10 from any number both forward and backward  

2. one:one correspondence with sequencing, Conservation of Number: I count from any side it doesn’t matter it is still the same number (this is the beginning of number concept)

3. Visual clustering: Recognizing numbers up to 6 is called subitizing.. Having a visual image of numbers up to 10 in the minds eye. (NO Counting)

4. Decomposition/Recomposition: when you can see a 7 as 3+4, 5+2, 6+1..

this is mastered not by using blocks or other manipulatives but by making a mental picture of the number… (90% of K students have not mastered this by the end of their year)

Instructional materials most effective are Number cards with different arrangements of these number combinations

Kindergarten Sight Facts: 1+1, 2+1, 1+2, 1+3, 3+1, 2+2, 1+4, 4+1, 3+2, 2+3, 3+3, 1+5, 5+1, 2+4, 4+2, 4+3, 3+4, 5+2, 4+4, 6+2, 2+6, 1+7, 7+1, 5+3, 3+5, 5+4, 4+5, 3+7, 7+3,6+4

5. Form Numbers correctly

      6. Concept of equality

First Grade Skills to master:

1. Number Concepts markers (See Kindergarten)

2. Number Sense:  Kindergarten Site Facts and 1st grade 10 + N Facts, Combinations of 10 (insert visual)

      3. Place value of 3 digit numbers

Know the difference between a number and a digit, decompose 2 digit numbers, know the difference between What digit is in the ____ place? What is the value of the digit in ____ place?


Intervention Resources:  http://www.k-5mathteachingresources.com/1st-grade-number-activities.html



Second Grade Skills to master:

1. Number Concepts markers (See Kindergarten)

2. Number Sense: Site Facts- All of previous grades’ addition facts, and new Second Grade subtraction facts

3. Place value of 4 digit numbers

Know the difference between a number and a digit, decompose 3 digit numbers, know the difference between What digit is in the ____ place? What is the value of the digit in ____ place?


Intervention Resources:  http://www.k-5mathteachingresources.com/2nd-grade-number-activities.html



Third Grade Skills to master:

1. Number Concepts markers

2. Number Sense:   Master All Addition Facts and Subtraction Facts, and Master new Multiplication Facts up to 10 x 10

2. Place Value of any whole number

3.  Understanding fractions as numbers: explanation


Intervention Resources:  http://www.k-5mathteachingresources.com/3rd-grade-number-activities.html


IntensiveIntervention.org- Fraction as Numbers Intervention Activities


IntensiveIntervention.org- Fraction as Numbers Intervention Worksheets


IntensiveIntervention.org- Fraction as Numbers Intervention Supplemental Materials


Fourth Grade Skills to master:

1. Number Concepts markers

2.Number sense:  Master Addition Facts and Subtraction Facts, Master Multiplication Facts and new division facts up to 100 divided by 10

3. Place Value of any whole number and up to hundredth place

4.  Fraction Equivalents and Ordering Fractions

5.  Building Fractions from Unit Fractions

6.  Understand Decimal Notation for Fractions and Compare


Intervention Resources:  http://www.k-5mathteachingresources.com/4th-grade-number-activities.html



Fifth Grade Skills to master:

1. Number Concepts markers

2. Number Sense:  Mastered Addition Facts and Subtraction Facts, Master Multiplication Facts and division facts, no new facts just refining

3. Place Value of any whole number and up to thousandths place

4.  Use Equivalent fractions as a strategies to Add and Subtract Fractions

5.  Apply and Extend previous understanding of multiplication and division to Fractions



Additional Intervention Resources:  http://www.k-5mathteachingresources.com/5th-grade-number-activities.html


IntensiveIntervention.org- Computation of Fractions Intervention Understanding, Activities, Worksheets and Supplemental Materials.


These links go into the website:


Number Concepts- Early Numeracy Issues (basic counting)- Promoting Basic Numeracy skills through Counting Board

http://www.interventioncentral.org/academic-interventions/math/number-sense-promoting-basic-numeracy-skills-through-counting-board-ga-0



Interventions for building Foundational Skills for Number Sense-


Mastering Facts through Incremental Rehearsal

http://www.interventioncentral.org/academic-interventions/math/math-computation-promote-mastery-math-facts-through-incremental-rehearsa


Math Computation:  Student Self-monitoring of Productivity to Increase Fluency

http://www.interventioncentral.org/academic-interventions/math/math-computation-student-self-monitoring-productivity-increase-fluency


Cover, Copy, Compare

http://www.interventioncentral.org/academic-interventions/math/cover-copy-compare


Basic Facts/ Number Operations:  Strategic Number Counting Instruction

http://www.interventioncentral.org/academic-interventions/math/number-operations-strategic-number-counting-instruction


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