Balanced Math Program Overview

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Brought to you by your Math Coaches:
Lisa Shogren (primary) or Jenn Vomocil (intermediate)
Understand the Balanced Math Program
Understand Step 1  - Math Review slice.
Model and Practice Math Review
Understand Step 1  - Mental Math slice.
Model and Practice Mental Math
Please place questions in the Parking Lot and
   they will be answered throughout the session.
1.
Math Review and Mental Math
(Computational Skills)
2.
Problem Solving
3.
Conceptual Understanding
4.
Mastery of Math Facts
5.
Common Formative Assessment
Step 1
 - 
 
Math Review and Mental 
 
  
Math (Computational Skills)
Step 2
 - Problem Solving
Step 3
 - 
 
Conceptual Understanding
Step 4
 - 
 
Mastery of Math Facts
Step 5
 - 
 
Common Formative 
 
  
Assessment
Step 1
 - 
 
Math Review and Mental 
 
  
Math (Computational Skills)
Step 2
 - 
 
Problem Solving
Step 3
 – Conceptual 
  
  
 Understanding
Step 4
 - 
 
Mastery of Math Facts
Step 5
 - 
 
Common Formative 
 
  
Assessment
Step 1
 - 
 
Math Review and Mental 
 
  
Math (Computational Skills)
Step 2
 - 
 
Problem Solving
Step 3
 - 
 
Conceptual Understanding
Step 4
 - Mastery of Math 
 
  
 Facts
Step 5
 - 
 
Common Formative 
 
  
Assessment
Step 1
 - 
 
Math Review and Mental 
 
  
Math (Computational Skills)
Step 2
 - 
 
Problem Solving
Step 3
 - 
 
Conceptual Understanding
Step 4
 - 
 
Mastery of Math Facts
Step 5
 - Common Formative
   
Assessment
Understand the Balanced Math Program
Understand Step 1  - Math Review slice.
Model and Practice Math Review
Understand Step 1  - Mental Math slice.
Model and Practice Mental Math
Please place questions in the Parking Lot and
   they will be answered throughout the session.
3 to 5 problems
Deliberately selected concepts (themes)
Consistent for 1 week minimum
Half of the time is student work time
Half of the time is process time
Weekly Assessments (6-10 problems)
Students reflect on their learning after
each assessment
Not a time for new content instruction
 
Intermediate Grades
 
 
 
Place Value
  
 
Addition 
   
 
Subtraction
  
 
Multiplication
 
Division
 
Fractions
 
Decimals
  
 
Measurement
  
  Geometry
   
Giving encouragement
Math Review is a time for practice. We are all
trying to get better at this, so let’s help each
other as much as possible.”
Time for practice
Creating a safe environment to reflect and
learn for their mistakes
Learning is a process that begins with not
knowing. As we practice and help each other, we
come to understand.”
During work times teacher circulates to help
students individually
Possible Math Review Processes
Teacher Directed
Student Volunteer
Pass the pen
Speedy system
Row or Group expert
Row or Group representative
Many more
Emphasize reasonableness of answer
2 questions for each theme
Formative assessment
Drives questions for following week
80% to be proficient
Gives teacher diagnostic information on a
regular basis
Immediate feedback to students
Students reflect on their current level of
understanding
Communication home
Take 7 minutes to complete the problems on your
math review worksheet.
 
Write the number in words
Write the number in Expanded Notation
Write the number in Place
 Value Notation
Say
 the number with place value names
Ask
 students th
e value of each numeral (digit)
Ask
 students what number is 10 more; 100
more; 100 less and so on
Find the sum or difference
Ask students for a good estimate to justify
the reasonableness of their answer
Ask students how they might solve the
problem mentally
Ask students to share their strategies for
solving the problem
Model the sum or difference on a number
line or with a diagram
For subtraction, have students try the
“counting up” strategy
Show multiplication with an array, equal
groups, jumps on the number line, and/or
repeated addition
Ask students for a good estimate to justify
the reasonableness of their answer
Ask students how they might solve the
problem mentally
Ask students to share their strategies for
solving the problem
Ask students what multiplication or division
mean (groups of or broken into equal groups)
Explain the meaning of the remainder
Ask what the fraction means
Ask students what the denominator indicates
Ask students what the numerator indicates
Have students draw a picture of the fraction
Ask which benchmark fraction is closest to
the fraction (or mixed number given)
Ask students to use whole numbers to get a
reasonable estimate
Demonstrate that a reasonable estimate can
be used to locate the decimal in the answer,
rather than teaching students the algorithm.
Ask students what the prefixes in metric
mean (“centi-” means 100, “kilo-” means
1,000)
Remind students that the metric system is
based on powers of 10
Ask students how many of one unit there are
in another (inches in a foot; inches in a yard;
feet in 1 yard, 2 yards, 3 yards, etc)
Ask for examples of items that are close to
the measurement they were converting
Ask students for the definition of perimeter
and its appropriate unit of measure (the
linear measure around the outside of a
geometric figure expressed in single units)
Ask students for the definition of area and its
appropriate unit of measure (a measure  of
covering that is expressed in square units)
Ask students to make a drawing to prove the
area answer
Understand the Balanced Math Program
Understand Step 1  - Math Review slice.
Model and Practice Math Review
Understand Step 1  - Mental Math slice.
Model and Practice Mental Math
Please place questions in the Parking Lot and
   they will be answered throughout the session.
Build number sense
Builds foundational skills to develop fluency
Effective computation skills
Daily mental practice
Themed – minimum of 1 week per theme
Teacher created or student created
Investigations 10-minute math or classroom
routines may work as well
Counting by a given number
Multiples of a given number
Basic facts
Measuring
Inverse Operations
Fractions
Geometry Vocabulary
Multiplication; powers of 10
Measurement Conversions
1.
First time, record answer only in math
journal. (no one shares their answer yet)
2.
Second time, “If you got lost, we are going
to do the same problem again.  If you think
you know the correct answer, calculate it
again to make sure.” At the end, choral
response of answer.
3.
Third time, “We are going to do it again.
We will work on the problem step-by-step
for you to analyze where you might have
made an error.”
Pencils Down
Understand the Balanced Math Program
Understand Step 1  - Math Review slice.
Model and Practice Math Review
Understand Step 1  - Mental Math slice.
Model and Practice Mental Math
Please place questions in the Parking Lot and
   they will be answered throughout the session.
Math Review Themes
What holes do you think students will come to you with?
What level of rigor can they be successful at?
What is the next level of rigor you will move to after
80% are proficient?
What level of rigor do students need to get to before
you can change themes?
Mental Math Themes
Pick one number that you want to start the year with
and write 4 mental math sequences for that same theme
I know you would rather be getting your
rooms ready, but this is IMPORTANT stuff!
Monthly Grade Level Meetings start in
October. are all at Timber Ridge at 4pm
3
rd
 grade – 3
rd
 Tuesday of the Month
(Nov. conflict goes to 4
th
 Tuesday)
4
th
 grade – 1
st
 Tuesday of the Month
(Jan. conflict goes to 4
th
 Tuesday)
5
th
 grade – 2
nd
 Tuesday of the Month
Slide Note

Introduction

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This presentation introduces the Balanced Math Program brought to you by Math Coaches Lisa Shogren and Jenn Vomocil. The session covers the goals of the program, including understanding the five steps involved: Math Review, Mental Math, Problem Solving, Conceptual Understanding, Mastery of Math Facts, and Common Formative Assessment. It delves into each step with models and practices to enhance computational skills and develop a strong foundation in mathematics. Participants are encouraged to engage by placing questions in the Parking Lot for discussion throughout the session.

  • Balanced Math
  • Math Program
  • Computational Skills
  • Problem Solving
  • Conceptual Understanding

Uploaded on Sep 17, 2024 | 0 Views


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Presentation Transcript


  1. BALANCED MATH Brought to you by your Math Coaches: Lisa Shogren (primary) or Jenn Vomocil (intermediate)

  2. GOALS FOR THIS SESSION Understand the Balanced Math Program Understand Step 1 - Math Review slice. Model and Practice Math Review Understand Step 1 - Mental Math slice. Model and Practice Mental Math Please place questions in the Parking Lot and they will be answered throughout the session.

  3. BALANCED MATH

  4. FIVE STEPS TO A BALANCED MATH PROGRAM 1. Math Review and Mental Math (Computational Skills) 2. Problem Solving 3. Conceptual Understanding 4. Mastery of Math Facts 5. Common Formative Assessment

  5. FIVE STEPS TO A BALANCED MATH PROGRAM Step 1 - Math Review and Mental Math (Computational Skills) Step 2 - Problem Solving Step 3 - Conceptual Understanding Step 4 - Mastery of Math Facts Step 5 - Common Formative Assessment

  6. FIVE STEPS TO A BALANCED MATH PROGRAM Step 1 - Math Review and Mental Math (Computational Skills) Step 2 - Problem Solving Step 3 Conceptual Understanding Step 4 - Mastery of Math Facts Step 5 - Common Formative Assessment

  7. FIVE STEPS TO A BALANCED MATH PROGRAM Step 1 - Math Review and Mental Math (Computational Skills) Step 2 - Problem Solving Step 3 - Conceptual Understanding Step 4 - Mastery of Math Facts Step 5 - Common Formative Assessment

  8. FIVE STEPS TO A BALANCED MATH PROGRAM Step 1 - Math Review and Mental Math (Computational Skills) Step 2 - Problem Solving Step 3 - Conceptual Understanding Step 4 - Mastery of Math Facts Step 5 - Common Formative Assessment

  9. GOALS FOR THIS SESSION Understand the Balanced Math Program Understand Step 1 - Math Review slice. Model and Practice Math Review Understand Step 1 - Mental Math slice. Model and Practice Mental Math Please place questions in the Parking Lot and they will be answered throughout the session.

  10. MATH REVIEW (20-25%) 3 to 5 problems Deliberately selected concepts (themes) Consistent for 1 week minimum Half of the time is student work time Half of the time is process time Weekly Assessments (6-10 problems) Students reflect on their learning after each assessment Not a time for new content instruction

  11. POSSIBLE MATH REVIEW THEMES Intermediate Grades Place Value Addition Subtraction Multiplication Division Fractions Decimals Measurement Geometry

  12. TEACHERS ROLE DURING MATH REVIEW Giving encouragement Math Review is a time for practice. We are all trying to get better at this, so let s help each other as much as possible. Time for practice Creating a safe environment to reflect and learn for their mistakes Learning is a process that begins with not knowing. As we practice and help each other, we come to understand. During work times teacher circulates to help students individually

  13. THE IMPORTANCE OF PROCESSING THE MATH REVIEW Possible Math Review Processes Teacher Directed Student Volunteer Pass the pen Speedy system Row or Group expert Row or Group representative Many more Emphasize reasonableness of answer

  14. WEEKLY REVIEW ASSESSMENT 2 questions for each theme Formative assessment Drives questions for following week 80% to be proficient Gives teacher diagnostic information on a regular basis Immediate feedback to students Students reflect on their current level of understanding Communication home

  15. MODELING MATH REVIEW Take 7 minutes to complete the problems on your math review worksheet.

  16. PLACE VALUE Write the number in words Write the number in Expanded Notation Write the number in Place Value Notation Say the number with place value names Ask students the value of each numeral (digit) Ask students what number is 10 more; 100 more; 100 less and so on

  17. ADDITION / SUBTRACTION Find the sum or difference Ask students for a good estimate to justify the reasonableness of their answer Ask students how they might solve the problem mentally Ask students to share their strategies for solving the problem Model the sum or difference on a number line or with a diagram For subtraction, have students try the counting up strategy

  18. MULTIPLICATION / DIVISION Show multiplication with an array, equal groups, jumps on the number line, and/or repeated addition Ask students for a good estimate to justify the reasonableness of their answer Ask students how they might solve the problem mentally Ask students to share their strategies for solving the problem Ask students what multiplication or division mean (groups of or broken into equal groups) Explain the meaning of the remainder

  19. FRACTIONS Ask what the fraction means Ask students what the denominator indicates Ask students what the numerator indicates Have students draw a picture of the fraction Ask which benchmark fraction is closest to the fraction (or mixed number given)

  20. DECIMALS Ask students to use whole numbers to get a reasonable estimate Demonstrate that a reasonable estimate can be used to locate the decimal in the answer, rather than teaching students the algorithm.

  21. MEASUREMENT Ask students what the prefixes in metric mean ( centi- means 100, kilo- means 1,000) Remind students that the metric system is based on powers of 10 Ask students how many of one unit there are in another (inches in a foot; inches in a yard; feet in 1 yard, 2 yards, 3 yards, etc) Ask for examples of items that are close to the measurement they were converting

  22. GEOMETRY Ask students for the definition of perimeter and its appropriate unit of measure (the linear measure around the outside of a geometric figure expressed in single units) Ask students for the definition of area and its appropriate unit of measure (a measure of covering that is expressed in square units) Ask students to make a drawing to prove the area answer

  23. GOALS FOR THIS SESSION Understand the Balanced Math Program Understand Step 1 - Math Review slice. Model and Practice Math Review Understand Step 1 - Mental Math slice. Model and Practice Mental Math Please place questions in the Parking Lot and they will be answered throughout the session.

  24. MENTAL MATH (5-7%) Build number sense Builds foundational skills to develop fluency Effective computation skills Daily mental practice Themed minimum of 1 week per theme Teacher created or student created Investigations 10-minute math or classroom routines may work as well

  25. POSSIBLE MENTAL MATH THEMES 3RD 5THGRADE Counting by a given number Multiples of a given number Basic facts Measuring Inverse Operations Fractions Geometry Vocabulary Multiplication; powers of 10 Measurement Conversions

  26. STEPS FOR MENTAL MATH First time, record answer only in math journal. (no one shares their answer yet) Second time, If you got lost, we are going to do the same problem again. If you think you know the correct answer, calculate it again to make sure. At the end, choral response of answer. Third time, We are going to do it again. We will work on the problem step-by-step for you to analyze where you might have made an error. 1. 2. 3.

  27. MODEL MENTAL MATH Pencils Down

  28. GOALS FOR THIS SESSION Understand the Balanced Math Program Understand Step 1 - Math Review slice. Model and Practice Math Review Understand Step 1 - Mental Math slice. Model and Practice Mental Math Please place questions in the Parking Lot and they will be answered throughout the session.

  29. BRAINSTORM Math Review Themes What holes do you think students will come to you with? What level of rigor can they be successful at? What is the next level of rigor you will move to after 80% are proficient? What level of rigor do students need to get to before you can change themes? Mental Math Themes Pick one number that you want to start the year with and write 4 mental math sequences for that same theme

  30. THANK YOU! I know you would rather be getting your rooms ready, but this is IMPORTANT stuff! Monthly Grade Level Meetings start in October. are all at Timber Ridge at 4pm 3rd grade 3rd Tuesday of the Month (Nov. conflict goes to 4th Tuesday) 4th grade 1st Tuesday of the Month (Jan. conflict goes to 4th Tuesday) 5th grade 2nd Tuesday of the Month

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