Math Curriculum Map

Fourth Grade

Draft

 

 

 

 

1st Trimester

September

October

October/November

Factors, Multiples, and Arrays - Unit 1

-Number Sense

Describing the Shape of the Data – Unit 2

-Probability and Statistics

Multiple Towers and Division Stories – Unit 3

-Number Sense

3 Weeks (14 Days)

3 Weeks (19 days)

4 Weeks (17 Days)

Investigation 1 Sessions 1.1-1.5

Investigation 2 Sessions 2.1-2.5

Investigation 3 Sessions 3.1-3.4

Investigation 1 Sessions 1.1-1.5

Investigation 2 Sessions 2.1-2.5

Investigation 3 Sessions 3.1-3.5

Investigation 1 Sessions 1.1-1.5

Investigation 2 Sessions 2.1-2.6

Investigation 3 Sessions 3.1-3.4

Investigation 4 Sessions 4.1-4.5

Performance Expectations

4.1.A, 4.1.B

 

Performance Expectations

4.4.E, 4.4.F, 4.4.G, 4.4.H

Performance Expectations

4.1.A, 4.1.B, 4.1.C, 4.1.D, 4.1.F, 4.1.G, 4.1.H, 4.1.I, 4.1.J

Skills

·          Use arrays to represent multiplication situations, to find factors and gain fluency with multiplication combinations up to 12x12.

·          Develop strategies for finding factors and multiples of 2-and 3- digit numbers.

·          Using the factors of 100 to find factors of multiples of 100.

Skills

·          Record, organize, and represent data. Use median, range, and outlier to describe and compare data sets.

·          Choose survey questions to compare data sets. Collect, show, analyze, and draw conclusions based on evidence.

·          Describe probability of an event. Conduct probability experiments, describe and compare results.

Skills

·          Solve multiplication problems with 2-digit numbers. Represent the meaning of multiplication of multiplication and division using various models.

·          Solve and represent division problems in story contexts, including problems with remainders.

·          Solve and represent problems that involve multiples of 10.

       Develop strategies for solving multiplication problems with

        larger 2-digit numbers.

Vocabulary

multiplication, array, dimension, factor, prime number, composite number, square number, multiplication combination, product, multiple, break apart strategy, starter problem

Vocabulary

bar graph, conclusion, data, line plot, median, numerical

data, outlier, probability, range, representation,  survey, value, clump, cluster, likelihood line, likely, mode, most, pictograph, predict, statement, typical, unlikely

Vocabulary

array, division, divide, doubled, equation, factor, halved, multiple, multiplication, multiplication combination, prime number, product, remainder, share, cluster, composite, dimension, starter problem, square number

Assessment Plans

Session 1.5: M31 (TE 50) formative

Session 2.5 M51, M52 (TE80) formative

Session 3.4 End of Unit Assessment M55-M56 (TE 112) Summative (use as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 1

Session 1.5: M7-M9 (TE 49-50) formative

Session 3.5 End of Unit Assessment M18-M21 (TE 117-119) Summative (use also as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 2

 

Session 1.5: M43 (TE 51-52) formative

Session 2.6 M7 (TE 89-91) formative

Session 3.4 M50 (TE 117) formative

Session 4.5 End of Unit Assessment M51-M52 (TE 149) Summative (use also as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 3

 

 

 

 

2nd Trimester

November/December

January

February

Size, Shape, and Symmetry – Unit 4

-Geometric Sense

Measurement

Fraction Cards and Decimal Squares – Unit 6

-Number Sense

How Many Packages? How Many Groups? – Unit 8

-Number Sense

4 weeks (23 Days)

4 Weeks (19 Days)

3 Weeks (17 Days)

Investigation 1 Session 1.1-1.5

Investigation 2 Session 2.1-2,5

Investigation 3 Session 3.1-3.3

Investigation 4 Session 4.1-4.7

Sunken Ships 1.1 and 1.2

A few extra days with Geo-board Area Activities

Investigation 1 Sessions 1.1-1.7

Investigation 2 Sessions 2.1-2.6

Investigation 3 Sessions 3.1-3.7

 

Investigation 1 Sessions 1.1-1.5

Investigation 2 Sessions 2.1-2.5

Investigation 3 Sessions 3.1-3.6

Performance Expectations

4.3.A, 4.3.B, 4.3.C, 4.3.D, 4.3.E, 4.4.B, 4.4.D

 

Performance Expectations

4.2.A, 4.2.B, 4.2.C, 4.2.D, 4.2.E, 4.2.F, 4.2.G, 4.2.H, 4.2.I

Performance Expectations

4.1.C, 4.1.D, 4.1.F, 4.1.G, 4.1.H, 4.1.I, 4.1.J

Skills

·          Estimate and measure length up to 100 feet in both U.S. standard and Metric units.

·          Investigate polygons focusing on quadrilaterals and categorizing them by side length, angle size, and parallel sides.

·          Identify, construct, and measure angles of varying degrees, by relating them to 90 degrees, the measurement of a right angle.

·          Measure the area of polygons in both non square and square units of measure, by decomposing shapes and using symmetry.

Skills

·          Find fractional parts of an area.

·          Compare fractions and find combinations of fractions that are equal to one.

·          Order fractions with landmarks o, ½, 1, and 2. 

·          Place fractions on a number line.

Represent and compare decimals.

Skills

•         Estimate products and practice strategies for solving multiplication problems with 2-digit factors.

•         Practice strategies for solving 2-digit by 2- digit multiplication problems including breaking one or both factors apart or solving an easier problem and adjusting the answer.

·          Use representations and story contexts to develop strategies for solving division problems with 1-digit or small 2-digit divisors.

Vocabulary

acute, obtuse, angle, area, benchmark, centimeter, congruent, coordinates, coordinate grid, degree, endpoint, equilateral triangle, estimate, foot, inches, kilometer, linear measurement, line segment, meters, metric system, millimeter, obtuse, orientation, ordered pair, parallel, parallelogram, perpendicular, pentagon, perimeter, polygon, prefix, quadrilateral, rectangle, right angle, side, square, square unit, symmetry, trapezoid, turn, vertex, vertices. yard

Vocabulary

fraction, denominator, numerator, landmarks, decimal, array, area model, eighth, fourth, half, part, set, sixths, thirds, whole, more, less

 

Vocabulary

estimate, multiplication, landmark, multiple, cluster, factor, divisor, division, remainder, array, composite, dimension, divide, doubled, equation, halved, prime number, product, share, starter problem, square number

Assessment Plans

Session 2.5: M21(TE82) formative

Session 4.7:End of the Unit Assessment M:27(TE147) (use also as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 4

 

 

Session 1.5: M12 (TE 50) formative

Session 2.5: M23 (TE 95) formative

Session 3.7 End of Unit Assessment M31 (TE 136) ) (use also as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 6

 

Session 2.5: M19 (TE 82-83) formative

Session 3.6: End of Unit Assessment M21, M22 (TE 110-111)  (use also as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 8

 

 

3rd Trimester

March

March/April

May

May/June

Penny Jars and Plant Growth – Unit 9

-Algebraic Sense

 

WASL Review

Supplemental Math Activities

Moving Between Solids and Silhouettes – Unit 7

-Geometric Sense

-Measurement

Landmarks and Large Numbers – Unit 5

-Number Sense

3 Weeks (15 Days)

3 Weeks (14 Days)

3 Weeks (14 Days)

2 Weeks (10 Days)

Investigation 1 Sessions 1.1-1.2

Investigation 2 Sessions 2.1-2.8

Investigation3 Sessions 3.1-3.5     

CBA’s

WASL Released Items

Investigation 1 Sessions 1.1-1.4

Investigation 2 Sessions 2.1-2.5

Investigation 3 Sessions 3.1-3.5

 

Investigation 1 Session 1.1-1.6

Investigation 2 Session2.1-2.6

Investigation 3 Session 3.1-3.5

Investigation 4 Session 4.1-4.7

Performance Expectations

4.4.A, 4.1.H

Performance Expectations

4.1.E, 4.4.C

Performance Expectations

None for 3-D Geometry

Performance Expectations

4.1.E

Skills

·          Examine, identify changes, relate changes to corresponding stories, and determine values of points on graphs.

·          Use tables, graphs, expressions, and notation to represent, describe, examine, make predictions and compare situations of constant change.

·          Make line graphs, describe change and match graphs with tables and stories.

Skills

Elapsed Time

Place Value

Skills

·          Describe the properties and attributes of geometric solids.

·          Move between 2-D and 3-D representations of cube buildings.

·          Find volume of rectangular prisms.

Skills

·          Students review place value concepts to 1,000. They add and subtract multiples of 10 and 100.

·          Students study the operation of addition as they solve problems. They also study different types of addition strategies.

·          Students extend their understanding of the place value system by making a class 10,000 chart. They add numbers in the thousands.

·          Students practice solving subtraction problems

        accurately and efficiently.

Vocabulary

axis, decrease, diagram, graph, representation, table, change, coordinate, coordinate grid, constant, diagram, growth, ordered pair, speed, rate, relationship, record, time, variables

 

Vocabulary

prism, cylinder, solid, vertex, edge, face, silhouette,  rectangular prism

Vocabulary

place value, addition strategies, subtraction strategies, break apart, landmark, starter problem, related problem set, more, less, number line

Assessment Plans

Session 3.5 End of Unit Assessment M37-M39 (TE 130-131) (use as formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 9

 

 

Session 1.4: M14 (TE42) formative

Session 2.5: M16-18 (TE 71-72) formative

Session 3.5 End of the Unit Assessment:

M23-25 (TE 95) (use as formative assessment)

4th Grade Assessment Rubric for Unit 7

 

Session 1.6 M19 (TE 53) formative

Session 2.6 M23 (TE 92) formative

Session 4.3 M27 (TE 147) formative

Session 4.7 end of the unit assessment M29 (TE 164) (use as a formative at beginning of the unit)

4th Grade Assessment Rubric for Unit 5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Additional Vocabulary:  greater than, greatest, hundreds, hundredths, in order, least, less than, number, numerator, denominator, odd, ones, place value, tens, tenths, thousands, addition, difference, operation, product, subtraction, sum, total, about how many, closer to, estimate, round to the nearest, attribute, cent, cup, day, degree, dime dollar, gallon, gram, high, hour, length, liter, milliliter, millimeter, minute, money, month, nickel, ounce, penny, perimeter, pint, pound, quart, quarter, scale, second, square unit, temperature, thermometer, time, ton,. Unit, weight, wide, $, cm, g, lb (abbreviations), circle, figure, hexagon, line, line segment, octagon, pentagon, polygon, rhombus, right angle, side, sort, square, triangle, graph paper, hexagon, intersect line, chances of, fair, impossible, least likely, less likely, more likely, most likely, none, possible, survey, bar graph, chart, line plot, pattern, pictograph, scale, table, predict, rule, expression, solution, strategy, symmetry, quadrant, mode (Additional Vocabulary from 4th Grade Item Specifications)

 

Supplemental Resources / Suggested Investigations Deletions

Computation