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 gradelevel 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 rollout 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 Pushups” (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

Concept Thread

Computation/Problem Solving Thread

September
GMADE
CBM?
Symphony Benchmark?
Facts Assessment

Concept

Measurement /Line plots**

RollOut

Use multiple tools to introduce measurement equivalencies, standards.
Include patterns

Tools

Youtube videos, songs, problem solving sheets.
rulers, meter sticks, yard sticks, tape measures, images of landmark measurements.

Homework


*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.

Concept

Addition / Subtraction with regrouping / Place Value and Problem Solving  September  EDM Unit 2

RollOut

*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

Online/offline computation work.

Strategies

Grow at your own rate computation work, practice efforts that last throughout the year.


October

Concept

Basics of Multiplication  second half of October  EDM Unit 3

Rollout

*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

Rollout


Tools

Tech Connect: Symphony, That Quiz, Xtra Math, Sum Dog, FastMath

Homework

Multiplication fact practice


November

Concept

Area and Perimeter**

Rollout


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.
SketchUp
Chrome Room Design App
Ikea Room Design

Homework

That Quiz has great area/perimeter practice tests.


Concept

MultiDigit Multiplication  EDM Unit 5

Rollout

*2 by 1, 3 by 1 (distributive property)
*Partial products
*2 by 2
*Distances on a map (scale) (option?)
*Introduction of standard algorithm

Tools

lots of paper/pencil practice
lots of practice with word problems and model making
review videos
related open response problems.

Homework

practice sets


December
mid January

Concept

Patterns and algebra. Geometry**

Rollout


Tools

online balance activity
students create and analyze patterns.
Possible measurement review with patterns.

Homework

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

Long Division  Unit 6

Rollout

*use equal groups (base ten blocks)
*partial quotients
*area model (using base ten blocks)
*standard algorithm

Tools

related open response problems
conceptual lessons/models

Homework

practice sets
Video review


Mid January March
GMADE
Symphony MidYear Benchmark?
CBM?

Concept

Fractions/Decimals  Unit 7

Rollout

*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

Multiple resources available online/offline including project base endeavor and problem solving.

Homework

Lots of practice


Concept

Computation/Facts Practice, Review and Related Problem Solving

Rollout

Regular practice with problem solving, problem solving with fractions.

Tools


Homework



April

Concept

Geometry Part 2

Rollout

*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 507509, which include directions)
*Constructing angles (6.6 and 6.7)
*Review 3D
Believe there’s a considerable emphasis on quadrilateralsI’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

Rollout

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

Rollout

Athome give student practice packets for homework.
Inclass use practice packets for collaborative work, practice test.
Review packets together, reteach concepts that are not mastered, but close.

Tools

Former MCAS packets

Homework

MCAS practice test and problems
That Quiz 10problem quick review sets at home and inschool, independent and collaborative.


Concept

Open Response Problem Solving Close Review /Computation Review

Rollout


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

Rollout


Tools


Homework



Concept

Continued fact, computation review and problem solving. Perhaps a focus on “math talk” and lively math discussion.

Rollout


Tools


Homework



**Units that can be moved to different times of the year without too much trouble.