Math Curriculum Map Fifth Grade Draft
^st Trimester
August/September	October	November
Number Puzzles and Multiple Towers - Unit 1 -Multiplication and Division 1	What’s That Portion? – Unit 4 -Fractions and Percents 1	Decimals on Grids and Number Lines – Unit 6 -Decimals, Fractions, and Percents 2
22 Days	21 Days	18 Days
Investigation 1 Session 1.1-1.7 Investigation 2 Session 2.1-2.7 Investigation 3 Session 3.1-3.8	Investigations 1 Session 1.1-1.5 Investigations 2 Session 2.1- 2.6 Investigations 3 Session 3.1 -3.10	Investigation 1 Session 1.1 – 1.10 Investigation 2 Session 2.1 – 2.8
Performance Expectations 5.1.A, B, D, E, F; 5.5.A	Performance Expectations 5.2.A, E, H	Performance Expectations 5.2.B, F, G, H
Skills · Use arrays and number puzzles to learn about factors, multiples, and other properties of numbers · Develop strategies for solving 2-digit by 2-digit multiplication problems, including breaking numbers apart, solving an equivalent problem, and solving related problems · Develop strategies for solving division problems with 2-digit divisors and interpret the results	Skills · Using percents & fraction to identify equivalent fractions and percents. · Comparing & ordering fractions to solve problems in real world contexts. · Adding & subtracting fractions while using rectangles, clocks, and the number line to represent and visualize.	Skills · Use understanding of fractions and the number system to order and compare decimals to the thousandths. · Grids and number lines are used to represent and compare decimals. · Find decimal equivalents for fractions. · Use grids to understand place value of decimal fractions (e.g., 55 hundredths, 4 tenths) · Students add decimal fractions
Vocabulary Multiplication, division, factor, product, array, dimensions, unmarked array, multiplication combination, multiple, even number, odd number, prime number, composite number, square number, representation, distributive property, associative property, less than, greater than, dividend, divisor, quotient, multiple,	Vocabulary Fractions, decimals, percents, equivalent	Vocabulary Fraction, decimal, percent, equivalent, tenths, hundredths, thousandths, ten thousandths, number line, numerator, denominator, repeating decimal, place value
Assessment Plans
Session 1.5: M17-22 (TE 54) Formative Session 2.7: M 51 (TE 107) Formative Session 3.8: End of Unit Assessment M54-M55 (TE 151) Summative (also use as a formative for the unit)	Session 1.5 M11 (TE 46) Formative Session 2.6 M20 (TE 85) Formative Session 3.10 End of Unit Assessment M32-33 (TE 142) Summative (also use as a formative for the unit)	Session 1.5 - Unit 6 p. 23; TE p. 53 Formative Session 1.10– M20, TE p. 79 Formative Session 2.8 –M12, M21, M17 Formative Session 2.8 - End of unit assessment, M27 – 28 Summative (also use as a formative for the unit)

2nd Trimester
December/January	January/February	February/March
Measuring Polygons – Unit 5 -2-D Geometry and Measurement	How Many People? How Many Teams? – Unit 7 -Multiplication and Division 2	Growth Patterns – Unit 8 -Patterns, Functions, and Change
18 Days	20 Days	13 Days
Investigation 1 Sessions 1.1 – 1.7 Investigation 2 Sessions 2.1 – 2.6 Investigation 3 Sessions 3.1 – 3.5	Investigation 1 Sessions 1.1 – 1.4 Investigation 2 Sessions 2.1 – 2.4 Investigation 3 Sessions 3.1 – 3.7 Investigation 4 Sessions 4.1 – 4.5	Investigation 1—Session 1.1-1.5 Investigation 2—Session 2.1-2.8
Performance Expectations 5.3.A, B, C, E, F, G, H, I	Performance Expectations 5.1.C, D, E, F	Performance Expectations 5.3.D; 5.4.A, B, C; 5.5.C
Skills · Polygons: Names, properties & angles. Students classify polygons using sides, lengths of sides, and measures of angles. · Students find relationships between perimeters and areas of related rectangles · Students investigate figures that are mathematically similar, noting relationships between side length and similar figures.	Skills · Find equivalent multiplication expressions and division expressions · Review strategies for multiplying 2 digit numbers including the algorithm · Review strategies for solving division problems with 2 digit divisors · Use all 4 operations to solve multi-step problems in real-world context	Skills · Use tables/graphs to represent growth patterns · Compare different growth rates and initial heights · Study rectangular arrays, penny jar situations and staircase towers · Use graphs and tables to compare · Use graphs and tables to interpret and explain using words and symbols
Vocabulary Right, acute, obtuse, equilateral, scalene, isosceles, quadrilateral, parallel, trapezoid, parallelogram, rectangle, rhombus, convex, supplementary, Venn diagram, regular, hexagon, heptagon, octagon, pentagon, decagon, interior angle, exterior angle, perimeter, area, dimension, similar	Vocabulary Multiplication, division, algorithm, factors, product, divisor, dividend, remainder	Vocabulary Rate of Change, Steady Rate, Steepness, Area, Perimeter
Assessment Plans
Session 1.7 M17 (TE 62) Formative Session 2.6 M19 (TE 100) Formative Session 3.5 End of Unit Assessment M22 (TE133) Summative (also use as a formative for the unit)	Session 1.1: Student p. 1, M15, TE 28 Formative Session 1.2: Student p. 3, M15, TE 33 Formative Session 1.3: Student p. 7, M15, TE 38 Formative Session 2.4: M25, TE p. 62 Formative Session 3.7: ME 29, TE p. 96 Formative Session 4.5: End of unit assessment, M31-32, TE 117 Summative (also use as a formative for the unit)	-Session 1.4 (M17) TE 52 Formative -Session 2.8 End of Unit Assessment (M22-M25) TE111 Summative (also use a formative at the unit)

3^rd Trimester
March	April		May/June
How Long Can You Stand on One Foot? – Unit 9 -Data Analysis and Probability	Measurement Review and WASL Review/ Supplemental Math Activities during test weeks		Prisms and Pyramids – Unit 2 -3-D Geometry and Measurement
16 Days	11 Days/10 Days (test weeks)		16 Days
Investigation 1—Session 1.1-1.4 Investigation 2—Session 2.1-2.6 Investigation 3—Session 3.1-3.5			Investigation 1 Session 1.1-1.7 Investigation 2 Session 2.1-2.4 Investigation 3 Session 3.1-3.5
Performance Expectations 5.5.B, C; 5.5.F, I, J; emphasis in 4^th grade			Performance Expectations Emphasis in 6^th grade expectations
Skills · Collect, represent, and analyze different groups of people standing on one foot · Draw conclusions based on different sets of data · Design experiments and collect data involving multiple trials · Create representations to communicate findings · Analyze data and draw conclusions · Discuss the difference between theoretical and experimental probability · Determine whether games are fair			Skills · Study the volume of rectangular prisms by looking at patterns of boxes and by building rectangular prisms from connecting cubes using writing and investigation. · Using standard cubic units of volume to measure the volume of a small rectangular prism. Build models using cubic inches and feet and cubic inches and centimeters. · Build models of prisms, pyramids, cylinders and cones, finding relationships that have the same base and height. Find volume of solids in cubic centimeters
Vocabulary Data , Fair, Plot, Experiment, Probability, Trial, Line plot, Graph, Median, Range, Axis, Scale			Vocabulary Volume, rectangular prism, dimension, multiple, cubic centimeter, linear, cubic meter, length, width, height, pyramid, cylinder, cone
Assessment Plans
Session 2.2 (M23-24) TE 59-61 Formative -Session 3.5 End of Unit Assessment (M35-38) TE109-111 (also use as a formative for the unit)		Session 1.5: M19-20 (TE 52) Formative Session 2.4: M24-25 (TE 85) Formative Session 3.5: End of Unit Assessment M35-36 (TE 111) Summative (also use as a formative for the unit)

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 4^th Grade Item Specifications)

Supplemental Resources / Suggested Investigations Deletions

Skills to be sure of	Computation	Additional focus during lessons	Suggested deletions	Additional vocabulary
Multiplication and Division Facts through 12	TEN MINUTE MATH: Mental division strategies (5.1.E) Estimating sums and differences of fractions (5.2.G)	Unit 4- Intentionally teach +/- Mixed Numbers, Greatest Common Factor, and Least Common Multiple. (5.2.D) 2008-2009, also teach converting mixed numbers to fractions Unit 6- Include subtracting decimals using place value models (5.2.B, F), rewriting fractions to have common denominators (5.2.C) Unit 5- Include area of triangle as related to area of parallelogram (5.3.E); Draw quadrilaterals and triangles from given information (5.3.G) ; Symmetry of triangles and quadrilaterals (5.3.H) Unit 8- Include ordered pairs and graphing ordered pairs in 1^st quadrant (5.4.D) Unit 9- Include mean and mode in a set of data (5.5.B)	Unit 3 can be omitted	Extraneous (5.6.B) Evaluate (5.4.C) Summarize (in math context) (5.6.I) Draw conclusions (5.6.I) Make and test conjectures (5.6.J)
Notes and Missing Items