Math Scope and Sequence
Yesterday the team met about the math scope and sequence for next year's fourth grade. Essentially we made room for all the main grade-level concepts. The meeting gave us a positive launching pad for next year's math program. I hope to add more detail to the chart over the summer and next year to guide the classroom efforts.
My math goal next year will be to use an SMP planning chart and the standards to guide the roll-out of each unit in differentiated ways providing room for all on the continuum from remediation and review to enrichment in engaging ways.
In addition to the scope and sequence, I will also employ a number of “Mental Push-ups” (a term coined by my colleague, Mike O'Connor) and math routines to develop facility and fluency with math concepts. The routines will include the following:
- oral routines
- fact practice
- math message
- computation practice
- online home study (self grading/reporting) i.e. Xtra Math, That Quiz, SumDog
Over the summer months, I'll revise the class math website to reflect this scope and sequence as well as the many activities we employed this year to develop students' understanding. If you have any additions, revisions, or deletions for me, please let me know. There's so much potential when it comes to math education today, and I believe that yesterday's meeting was one step in the right direction with next year's students in mind.
Related Standards Website
Date
Assessments
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Concept Thread
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Computation/Problem Solving Thread
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September
GMADE
CBM?
Symphony Benchmark?
Facts Assessment
|
Concept
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Measurement /Line plots**
|
Roll-Out
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Use multiple tools to introduce measurement equivalencies, standards.
Include patterns
|
Tools
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Youtube videos, songs, problem solving sheets.
rulers, meter sticks, yard sticks, tape measures, images of landmark measurements.
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Homework
|
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*Note that measurement is a nice introductory unit as it is new for many and you can use it help introduce classroom information. Here is a link to many measurement activities.
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Concept
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Addition / Subtraction with regrouping / Place Value and Problem Solving - September - EDM Unit 2
|
Roll-Out
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*Individual fact menus set for each child.
*Math Routines and Systems - week 1 (SMPs intro)
Add/Subtract Facts
*Place value and Rounding - how does our base 10 system work? - week 2
*Addition with regrouping - week 3
(including adding three or more numbers, adding money, numbers w/decimal points)
*Subtraction with regrouping - week 4
(subtracting large numbers, numbers w/0, money- check with addition)
|
Tools
|
|
Homework
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Online/offline computation work.
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Strategies
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Grow at your own rate computation work, practice efforts that last throughout the year.
|
|
October
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Concept
|
Basics of Multiplication - second half of October - EDM Unit 3
|
Roll-out
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*Understand factors and find all factor pairs for a given whole number / multiples
*Commutative property
*Fact strategies
*Variables to represent unknowns
*Prime and composite
|
Tools
|
Factor Game (online/Off)
That Quiz has good algebra practice.
Tynker project
|
Homework
|
Fact Practice online/off
That Quiz Factors/Multiple Tests
|
|
Concept
|
Multiplication Facts
|
Roll-out
|
|
Tools
|
Tech Connect: Symphony, That Quiz, Xtra Math, Sum Dog, FastMath
|
Homework
|
Multiplication fact practice
|
|
November
|
Concept
|
Area and Perimeter**
|
Roll-out
|
|
Tools
|
video song
manipulatives
graph paper
lots of practice w/open response problems from the past
That Quiz has great online practice tests for this.
Sketch-Up
Chrome Room Design App
Ikea Room Design
|
Homework
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That Quiz has great area/perimeter practice tests.
|
|
Concept
|
Multi-Digit Multiplication - EDM Unit 5
|
Roll-out
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*2 by 1, 3 by 1 (distributive property)
*Partial products
*2 by 2
*Distances on a map (scale) (option?)
*Introduction of standard algorithm
|
Tools
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lots of paper/pencil practice
lots of practice with word problems and model making
review videos
related open response problems.
|
Homework
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practice sets
|
|
December-
mid January
|
Concept
|
Patterns and algebra. Geometry**
|
Roll-out
|
|
Tools
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online balance activity
students create and analyze patterns.
Possible measurement review with patterns.
|
Homework
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Utilize past concepts of factors, multiples, and measurement in patterns/algebra.
Use algebra when solving simple math problems that review facts, addition and multiplication.
|
|
Concept
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Long Division - Unit 6
|
Roll-out
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*use equal groups (base ten blocks)
*partial quotients
*area model (using base ten blocks)
*standard algorithm
|
Tools
|
related open response problems
conceptual lessons/models
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Homework
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practice sets
Video review
|
|
Mid January- March
GMADE
Symphony Mid-Year Benchmark?
CBM?
|
Concept
|
Fractions/Decimals - Unit 7
|
Roll-out
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*Fraction of a whole – using circles (360 into really helps), number line, rectangles and discrete sets (use manipulatives)
*Mixed numbers and improper fractions (supplement)
*Converting mixed to improper fractions and back (worksheets)
*Changing the whole changes the value of the fraction
*Comparing and ordering fractions with different numerators and different denominators by comparing to a benchmark fraction – use PROBE 2
*Simple equivalent fractions
*Adding and subtracting fractions (up to mixed numbers with like denominators) –
lesson 7.5
*Fraction addition and subtraction with estimating
*Compose and decompose fractions into unit fractions
*Multiplying fractions by whole numbers – see the “Cloud Model” for multiplying fractions
-lesson 7.12a
*Use decimal notation for fractions with denominators of 10 or 100
*Locate decimals on a number line
*Compare and order decimals to the hundredths place
|
Tools
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Multiple resources available online/offline including project base endeavor and problem solving.
|
Homework
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Lots of practice
|
|
Concept
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Computation/Facts Practice, Review and Related Problem Solving
|
Roll-out
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Regular practice with problem solving, problem solving with fractions.
|
Tools
|
|
Homework
|
|
|
April
|
Concept
|
Geometry Part 2
|
Roll-out
|
*Identify and draw points, line segments, lines and rays (1.2)
*Naming angles (1.3) and parallel / perpendicular lines
*Identifying 2D figures (rest of 1.3, 1.4 and 1.5)
*Line of symmetry (10.4)
*Recognizing 360 degrees in a circle (6.5)
*Measuring angles with a half circle and full circle protractor (6.6 and 6.7)
*Recognizing angle measure as additive - Angle Add Up (unit 7 p 619 in manual - MM 507-509, which include directions)
*Constructing angles (6.6 and 6.7)
*Review 3D
Believe there’s a considerable emphasis on quadrilaterals--I’ll check on that.
|
Tools
|
That Quiz has a great online protractor/angle measurement activity
Pattern block exploration
Open response problem solving.
|
Homework
|
That Quiz has great fraction test practice.
Use Line Plot to practice work w/fractions.
|
Students seem to grasp these concepts with ease.
|
Concept
|
Open Response Problem Solving Close Review /Computation Review
MCAS Review of all concepts
|
Roll-out
|
Teach /Review Strategies:
underline key words
circle question
show work, label, use structure
write Answer: and answer with complete sentence
check work.
|
Tools
|
Old MCAS problems that match problem.
New Parcc/CC problems.
|
Homework
|
|
|
May
Symphony end year benchmark
CBM end year?
MCAS
|
Concept
|
MCAS Review
|
Roll-out
|
At-home give student practice packets for homework.
In-class use practice packets for collaborative work, practice test.
Review packets together, reteach concepts that are not mastered, but close.
|
Tools
|
Former MCAS packets
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Homework
|
MCAS practice test and problems
That Quiz 10-problem quick review sets at home and in-school, independent and collaborative.
|
|
Concept
|
Open Response Problem Solving Close Review /Computation Review
|
Roll-out
|
|
Tools
|
|
Homework
|
|
|
June
|
Concept
|
Math/Science Project Base Learning - Applying math concepts to science information (endangered species) possible link with data and stats, i.e. infographics
|
Roll-out
|
|
Tools
|
|
Homework
|
|
|
Concept
|
Continued fact, computation review and problem solving. Perhaps a focus on “math talk” and lively math discussion.
|
Roll-out
|
|
Tools
|
|
Homework
|
|
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**Units that can be moved to different times of the year without too much trouble.
