## Wednesday, May 29, 2013

### Fourth Grade Math Scope and Sequence Notes

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
September

CBM?
Symphony Benchmark?
Facts Assessment

 Concept Measurement /Line plots** Roll-Out 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 Roll-Out *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 Tech Connect: Symphony, That Quiz, Xtra Math, Sum Dog EDM book 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 Roll-out *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 That Quiz has great area/perimeter practice tests.

 Concept Multi-Digit Multiplication  - EDM Unit 5 Roll-out *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** Roll-out 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 Roll-out *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

Symphony Mid-Year Benchmark?

CBM?

 Concept Fractions/Decimals -  Unit 7 Roll-out *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 Roll-out 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 360 packet helps w/fractions and angles. 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 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

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