Math Curriculum Map

Third Grade

Draft June 2008

 

 

 

 

 

 

ESSENTIAL QUESTION (optional)

CONTENT

SKILLS

ASSESSMENT

RESOURCE

August/September

18 days

1st Trimester

 

 

 

 

 

 

Trading Stickers, Combining Coins – Unit 1

Addition, Subtraction, & the Number System 1

Performance Expectations

3.1.A, 3.1.D, 3.1.E, 3.5.A, 3.5.B, 3.6.D, 3.6.E, 3.6.F, 3.6.G

 

 Skills

* represent number units of 1s, 10, & 100s

* solve addition problems with 2-digit numbers

* find difference between a 2-digit number & 100

* estimate sums of 2-digit numbers using place value

*Fluently & accurately add/subtract whole numbers the standard regrouping algorithms

* solve single & multi-step word problems using addition & subtraction of whole numbers, verify the solutions

* write an equation

Vocabulary

difference, adding by place, digit, Celsius, degree,  equation, addition combinations, penny, sum, Fahrenheit, number line, ones place, tens place, round, verify (show your work)

Session 1.6 – M18, M19 (TE 65)

Session 1.9 – M21, M22 (TE 85)

Session 2.8 – End of Unit Assessment – M46 – M48

 (TE 139)

Investigation 1 Session : 1.1 – 1.9

Investigation 2 Session : 2.1 – 2.8

 

September/October

16 days

 

 

 

 

 

 

 

Survey and Line Plots - Unit 2

Data Analysis

 Performance Expectations

3.1.E, 3.5.E, 3.6.B, 3.6.D, 3.6.I, 3.6.J

 

 

 Skills

* describe & summarize data from a bar graph

* compare data using a bar graph & double bar graph

* represent data on a bar graph & a line plot

* understand scale on a bar graph

* understand numbers & symbols on a line plot

* develop survey questions

* make & test conjectures based on data

* construct & analyze pictographs and frequency tables

Vocabulary

bar graph, category, data, distance, key, double bar graph, interval, line plot, scale, outlier, range, survey, more than half, less than half, conjecture

Session 1.5 – M9 (TE 55)

Session 2.5 – M13, M16 (TE 107)

Session 2.6 – M14-M15 (TE 113)

 Investigations 1 Session : 1.1 – 1.8

Investigations 2 Session : 2.1 – 2.7

 

October/November

26 days

 

 

 

 

 

 

 

Collection and Travel Stories – Unit 3

Addition, Subtraction, and the Number System 2

Performance Expectations

3.1.A, 3.1.B, 3.1.D, 3.1.E, 3.6.A, 3.6.C, 3.6.E, 3.6.F, 3.6.G

 Skills

* write an equation

*  add & subtract using different strategies (break numbers apart, number line, adding up)

* locate a given number on a 1,000s chart

* estimate and find the sum of 2 and 3 digit numbers

* find pairs that add up to 100

* Fluently & accurately add/subtract whole numbers the standard regrouping algorithms (teach at end of unit)

Vocabulary

add up, difference, landmark numbers, subtract, subtract back, subtraction fact, round

 Session 2.3 - M35 -36 (TE 80)

Session 2.7 – M42 (TE 99)

 Session 3.6 – M61 -62 (TE 141)

Session 4.6 – M64 – 65 (TE 188)

 Investigations: 1 -4

(all sessions)

December

15 days

2nd Trimester

 

 

 

 

 

 

 

 

Perimeter, Angles, and Area - Unit 4

2-D Geometry and Measurement

Performance Expectations

3.1.A, 3.1.E, 3.4.B, 3.4.C, 3.4.E, 3.6.D, 3.6.E, 3.6.G,

 

 Skills

* measure perimeter of an object

* describe & classify 2-dimensional shapes

* identify attributes of a triangle

* identify attributes of a quadrilateral

* determine geometric movement (slide, flip, turn)

*identify & sketch parallel, intersecting, & perpendicular lines and line segments

Vocabulary

degree, flip, slide, turn, vertex (vertices), tetromino,

right angle, perimeter, quadrilateral, parallelogram, parallel, perpendicular, intersecting lines, line segment

 CBAs to be used (perimeter, triangles, parallel lines )

 

 

Investigation 1 Sessions : 1.1 – 1.5

Investigation 2 Sessions : 2.1 – 2.3

Investigation 3 Sessions : 3.1 – 3.6

 

January/February

23 days

 

 

 

 

 

 

 

 

 Equal Groups – Unit 5

-Multiplication and Division

Performance Expectations

3.1.E, 3.2.A, 3.2.B, 3.2.C, 3.2.D, 3.2.G, 3.2.H, 3.6.D, 3.6.E, 3.6.F, 3.6.H

 Skills

*understand relationship between skip counting, repeated addition, and multiplication

* write multiplication and division equations

* solve multiplication and division stories

* use arrays as a model for multiplication

* use and understand division notation

* multiply any number (11-19) by a single digit number using the distributive property & place value concepts

Vocabulary

array, dimension, division, equation, multiple, multiplication, product, factor, equal sets, quotient

 Session 1.4  (TE 39)

Session 2.5 M13 (TE 71)

Session 4.7 M44 (TE 141)

 Investigation 1 – 4

 All sessions

February/March

13 days

3rd Trimester

 

 

 

 

 

 

 

 

 Finding Fair Shares – Unit 7

Fractions and Decimals

Performance Expectations

3.2.A, 3.2.C, 3.2.D, 3.3.A, 3.3.B, 3.3.C, 3.3.D

 

 

 Skills

* identify equivalent fractions with denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12

* represent fractions that have denominators of same numbers as above

* compare & order fractions that have denominators of same numbers as above

* solve single & multi-step word problems involving comparison of fractions and verify solutions

Vocabulary

fraction, numerator, denominator, equivalent fractions

 

 Session 1.6   M13 (TE 53)

Session 2.3  M17  (TE 74)

 Investigation 1:  1.1 – 1.6

Investigation 2: 2.1 -2.4

March

15 days

 

 

 

 

 

 

 

 

Measurement Unit

Performance Expectations

3.5.B, 3.5.C, 3.5.D

 

 Skills

* estimate, measure, & compare capacity

* estimate, measure, & compare weight and mass

* measure temperature in degrees Fahrenheit and degrees in Celsius using a thermometer

* measure length

* correct use of a ruler

 

* all measurement activities involve use of US customary measurement and Metric units

Vocabulary

Fahrenheit, Celsius, grams, inches, yards, feet, gallons, quarts, pints, cups, pounds, ounces, meters, centimeters, etc.

 

 

 linear, temperature, weight, capacity lessons

April

Test weeks

 

 

 

 

 

 

 

 

 How Many Hundreds? How Many Miles? and WASL Review/

Unit -8

Supplemental Math Activities during test weeks

Performance Expectations

3.1.D, 3.1.E, 3.2.B, 3.2.D, 3.2.E, 3.2.H, 3.3A, 3.3.B, 3.3.C, 3.3.D, 3.5.A, 3.6.D, 3.6.E, 3.6.F, 3.6.G

 Skills

* add numbers in the hundreds to sums over 1,000

* estimate & solve problems with sums over 1,000

* solve multi-step addition and subtraction problems

* Fluently & accurately add/subtract whole numbers the standard regrouping algorithms

Vocabulary

addend, difference, estimate, negative, positive

 Session 1.4  M21  (TE47)

Session 1.5  M23 – 24  ((TE 55)

Session 2.5  M40  (TE91)

Session 3.3  M52  (TE116)

Session 3.9  M54-55 (TE 146)

 Investigations 1 – 3

all sessions

May/June

10-15 days

 

 

 

 

 

 

 

Stories, Tables, and Graphs – Unit 6

-Patterns, Functions, and Change

Performance Expectations

3.2.B, 3.2.D, 3.2.E, 3.2.F, 3.2.H, 3.5.B, 3.5.E,3.6G, 3.6.I

 

Skills

* use tables and graphs to show rate of constant change

* create a line graph to show change over time

* compare information on a line

* solve patterns using patterns and tables

* compare situations in data and tables

Vocabulary

column, degrees, horizontal axis, multiple, repeating pattern, row, table, unit, vertical axis

Session 1.5  M20 – 21  (TE 48)

Session 3.7  M 30 – 36 (TE 112)

Investigation 1 Session: (optional)

Investigation 2 Session: 2.1 – 2.3

Investigation 3 Session: 3.1 – 3.7

 

 

 

Supplemental Resources / Suggested Investigations Deletions

Skills to be

sure of

Computation

Additional focus during lessons

Additional Materials

REVIEW

(concepts taught in 2nd grade)

* read, write, order, compare, & represent numbers to 10,000 using numbers, words, and symbols

 

Unit 2 – (2008-209) teach: mode

 

Unit 4 – (2008-2009 only) teach: area, congruence

 

 

 

Review from 2nd grade

* basic addition and related subtraction facts with sums through 20

 

3rd Grade (new)

* quick recall of facts of 1, 2, 5, or 10 with related division facts

 

* know strategies for recall of multiplication facts 10 x 10 and related division facts

 

Unit 1 – teach rounding to nearest ten, hundred, & thousand (numbers thru 10,000)

Unit 2 – teach making & testing conjectures based on data

Units 3 – teach addition/subtraction using standard regrouping algorithms (teach at the end of the unit)

Unit 4 – parallel & perpendicular lines, intersecting, line segments, attributes of a quadrilateral

Unit 5 – multiply any number (11-19) by a single digit number using the distributive property & place value concepts

 

 

Mini-Measurement Unit: length, capacity, weight (estimate, measure, compare) U.S. Customary and Metric units

 

 

 

Unit 3 – Place value materials

 

 

 

NEED

 

 

Unit 5 - Place value materials (hundreds, tens, ones) graph paper (arrays),snap cubes

 

NEED

Unit 1 – coin recognition & values, correctly use dollar and cent sign, add sums up to $2.00

 

Measurement: telling time to the minute

 

 

 

 

 

 

 

 

 

Additional Vocabulary:  

 

 

Supplemental Resources / Suggested Investigations Deletions

Skills to be

sure of

Computation

Additional focus during lessons

Additional Materials

REVIEW

(concepts taught in 2nd grade)

* read, write, order, compare, & represent numbers to 10,000 using numbers, words, and symbols

 

Unit 2 – (2008-209) teach: mode

 

Unit 4 – (2008-2009 only) teach: area, congruence

 

 

 

Review from 2nd grade

* basic addition and related subtraction facts with sums through 20

 

3rd Grade (new)

* quick recall of facts of 1, 2, 5, or 10 with related division facts

 

* know strategies for recall of multiplication facts 10 x 10 and related division facts

 

Unit 1 – teach rounding to nearest ten, hundred, & thousand (numbers thru 10,000)

Unit 2 – teach making & testing conjectures based on data

Units 3 – teach addition/subtraction using standard regrouping algorithms (teach at the end of the unit)

Unit 4 – parallel & perpendicular lines, intersecting, line segments, attributes of a quadrilateral

Unit 5 – multiply any number (11-19) by a single digit number using the distributive property & place value concepts

 

 

Mini-Measurement Unit: length, capacity, weight (estimate, measure, compare) U.S. Customary and Metric units

 

 

 

Unit 3 – Place value materials

 

 

 

NEED

 

 

Unit 5 - Place value materials (hundreds, tens, ones) graph paper (arrays),snap cubes

 

NEED

Unit 1 – coin recognition & values, correctly use dollar and cent sign, add sums up to $2.00

 

Measurement: telling time to the minute