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Elementary Curriculum

 

Mathematics - 3rd Grade

District Course #308

Course Description

The elementary mathematics curriculum of the Boise School District will be vibrant, challenging, and child centered. With consideration for children's needs and their development, the followings NCTM strands, which are of equal importance, will comprise the elementary mathematics curriculum: (1) Numbers and Numeration, (2) Organizing and Interpreting Data, (3) Problem Solving, (4) Measurement, (5) Geometry, (6) Technology, and (7) Algebra - the language of mathematics. However, instruction will be structured as a spiral of strands to insure that children will experience mathematics as a unified whole rather than as a set of disjointed, unrelated parts. In particular, problem-solving and technology should serve to integrate the curriculum across the strands and among other disciplines.

Meaning and understanding of mathematics rests upon the foundation of mathematical concepts developed through experience with concrete manipulatives. It is recommended that manipulatives be used as often as possible. Concepts and skills should not be taught in isolation. Both are built on students' past knowledge through meaningful examples and experiences, and students should be provided ample opportunities to apply them to practical, real-life situations.

Adopted Materials

Title: Houghton-Mifflin Math Grade 3
Edition: 2005
Publisher Houghton-Mifflin
ISBN: 0-618-33863-2

Mathematics Curriculum Map
Course overview, activities, vocabulary, supplemental materials in pdf format.

Copyright Resources

Course Scope

(view Mathematics Curriculum Map for Sequence)

Unit 1

Mathematical Reasoning and Problem Solving

Ongoing

Unit 2

Functions and Mathematical Models

Ongoing

Unit 3

Basic Arithmetic, Estimation, and Accurate Computations

Ongoing

Unit 4

Addition and Subtraction

5 Weeks

Unit 5

Money

2 Weeks

Unit 6

Concepts and Principles of Measurement

4 Weeks

Unit 7

Multiplication

5 Weeks

Unit 8

Division

2 Weeks

Unit 9

Geometry

3 Weeks

Unit 10

Concepts of Time

Ongoing

Unit 11

Data analysis, probability, and statistics

4 Weeks

Unit 12

Fractions/Decimals

4 Weeks

Assessment Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word document

Unit 1

Mathematical Reasoning and Problem Solving

Ongoing

Instructional Objective

308.01 Recognize mathematical information and select strategies appropriate for solving a multi-step problem.

Standard Reference
3.M.1.1.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Select strategies appropriate to solve a problem.

Throughout Text

Ways to Assess CD, Unit Assessment System B-page (UASB)

02

Choose an appropriate instrument or U.S. customary or metric unit of measure for the capacity of a given object.

Ch. 12, 13, 14

Ways to Assess CD, (UASB)

Instructional Objective

308.02 Use appropriate operations to solve word problems and show or explain work.

Standard Reference
3.M.1.2.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate operations to solve word problems and show or explain work.

Throughout Text

Ways to Assess CD, (UASB)

02

Determine the operation(s) to be used to solve a given one or two step word problem.

Throughout Text

Ways to Assess CD, (UASB)

Instructional Objective

308.03 Make predictions and decisions based on information.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Make predictions and decisions based on information

Throughout Text

Ways to Assess CD, (UASB)

02

Determine the reasonableness of solutions to computation and word problems, choosing an appropriate method (e.g., using estimation, evaluating according to context).

Throughout Text

Ways to Assess CD, (UASB)

Instructional Objective

308.04 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams and models, to explain mathematical reasoning and concepts.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams and models, to explain mathematical reasoning and concepts.

Throughout Text

Ways to Assess CD, (UASB)

Instructional Objective

308.05 Investigate the use of a 4-function calculator to solve complex grade-level problems.

Standard Reference
3.M.1.3.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Investigate the use of a 4-function calculator to solve complex grade-level problems.

Lessons 1.7, 4.9, 5.8, 11.9, 12.7, 20.4, 21.8, 22.8

Ways to Assess CD, (UASB)

Instructional Objective

308.06 Select appropriate models to represent mathematical ideas.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Select appropriate models to represent mathematical ideas.

Ch. 1, 3, 6, 7, 8, 9, 10, 18, 19, 20

Ways to Assess CD, (UASB)

Instructional Objective

308.07 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to communicate mathematical information.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use a variety of methods, such as words, numbers, symbols charts, graphs, tables, diagrams and models, to communicate mathematical information.

Throughout Text

Ways to Assess CD, (UASB)

02

Solve one-step addition, subtraction, multiplication, or division word problems using whole numbers.

Ch. 4, 5, 8, 9, 10, 11

Ways to Assess CD, (UASB), TO

Instructional Objective

308.08 Use appropriate vocabulary to communicate mathematical information.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary to communicate mathematical information.

District List

Ways to Assess CD, (UASB), TO

02

Label answers to word problems. (Example-"56 cars were black")

Throughout Text

Ways to Assess CD, (UASB), TO

Instructional Objective

308.09 Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three.

Standard Reference
3.M.1.2.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three.

Lessons 1.5, 4.8, 8.7, 16.5, 19.3, 21.6

TO

Back to Top

Unit 2

Functions and Mathematical Models

Ongoing

Instructional Objective

308.10 Extend a growing arithmetic, numerical pattern when given a rule with a single operation of one digit addition.

Standard Reference
3.M.3.4.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Extend patterns and identify the rule (function) that creates the pattern.

Lessons 1.1, 1.5, 4.8, 12.1, 15.5, 16.2, 16.4, 17.2

Ways to Assess CD, (UASB)

Instructional Objective

308.11 Discover, describe, and extend patterns by using manipulative and pictorial representations.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Discover, describe, and extend patterns by using manipulative and pictorial representations.

Lessons 1.4, 1.5, 15.5, 16.4, 17.2

Ways to Assess CD, (UASB)

Instructional Objective

308.12 Understand and use appropriate vocabulary.

Standard Reference
3.M.3.4.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Understand and use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Back to Top

Unit 3

Basic Arithmetic, Estimation, and Accurate Computations

Ongoing

Instructional Objective

308.13 Read, write, compare, and order whole numbers to 10,000.

Standard Reference
3.M.1.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify or write the corresponding numeral for a given number word through 10,000.

Ch. 1

Ways to Assess CD, (UASB)

02

Use expanded form to represent numbers up to 10,000.

Ch. 1

Ways to Assess CD, (UASB)

03

Identify whole numbers that would appear between two consecutive even or two odd whole numbers from 0 to 10,000.

p.3

Ways to Assess CD, (UASB)

Instructional Objective

308.14 Identify place value through 9,999.

Standard Reference
3.M.1.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Order whole numbers from 0 to 10,000 from least to greatest or greatest to least.

Ch. 2

Ways to Assess CD, (UASB)

02

Compare whole numbers from 0 to 10,000 using >, <, and =.

Ch. 2

Ways to Assess CD, (UASB)

03

Identify the place value of a given digit in whole numbers from 1 to 10,000.

Ch. 1, 2

Ways to Assess CD, (UASB)

Instructional Objective

308.15 Write a number sentence using simple geometric shapes as symbols to represent an unknown number.

Standard Reference
3.M.3.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Write a number sentence using simple geometric shapes as symbols to represent an unknown number.

Lesson 11.5 and Ch. 4, 5, 6, 8, 9, 10, 11, 13, 14, 18, 19, 20, 21, 22

Ways to Assess CD, (UASB)

02

Identify a number sentence or expression that represents a word problem or a mathematical situation.

Throughout

Ways to Assess CD, (UASB)

Instructional Objective

308.16 Read and use symbols (<, >, =) to express relationships with numbers through 9,999.

Standard Reference
3.M.3.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Read and use symbols (<, >, =) to express relationships with numbers through 9,999.

Ch. 4, 5, 6, 8, 9, 10, 11, 13, 14, 18, 19, 20, 21, 22

Ways to Assess CD, (UASB)

Instructional Objective

308.17 Estimate to predict sums and differences.

Standard Reference
3.M.1.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Estimate to predict sums and differences.

Throughout Text

Ways to Assess CD, (UASB)

02

Round whole numbers of up to 10,000 to the nearest ten, hundred, or thousand.

Ch. 2, 3, 4, 5, 21, 22

Ways to Assess CD, (UASB)

Instructional Objective

308.18 Use estimation to evaluate the reasonableness of a sum or difference.

Standard Reference
3.M.1.3.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation to evaluate the reasonableness of a sum or difference.

Throughout Text

Ways to Assess CD, (UASB)

Instructional Objective

308.19 Understand and apply appropriate vocabulary.

Standard Reference
3.M.1.1.6, 3.M.1.3.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Understand and apply appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

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Unit 4

Addition and Subtraction

5 weeks

Instructional Objective

308.20 Add and subtract whole numbers with and without regrouping through 999.

Standard Reference
3.M.1.2.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Add and subtract whole numbers with and without regrouping through 999.

Ch. 4, 5, 8, 10

Ways to Assess CD, (UASB)

Instructional Objective

308.21 Recall basic addition and subtraction facts through 18.

Standard Reference
3.M.1.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Recall basic addition and subtraction facts through 18.

Ch. 4

Ways to Assess CD, (UASB)

Instructional Objective

308.22 Add three one and two digit addends.

Standard Reference
3.M.1.2.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Add three one and two digit addends.

Ch. 4

Ways to Assess CD, (UASB)

Instructional Objective

Write a fact family when given two addends.

Standard Reference
3.M.3.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Write a fact family when given two addends.

Ch. 4

Ways to Assess CD, (UASB), TO

Instructional Objective

308.23 Explore and use the commutative properties of addition.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore and use the commutative properties of addition.

Lesson 4.1

Ways to Assess CD, (UASB), TO

Instructional Objective

308.24 Solve missing addend equations.

Standard Reference
3.M.3.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Solve missing addends and missing factor problems using inverse operations.

Lessons 1.2, 4.4, 5.2, 8.5, 8.8, 9.8, 10.3, 11.4, 11.8, 11.9, 18.1

Ways to Assess CD, (UASB)

Instructional Objective

308.25 Write a multiplication problem vertically and horizontally.

Standard Reference
3.M.3.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Write a multiplication problem vertically and horizontally.

Ch. 8, 9

Ways to Assess CD, (UASB)

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Unit 5

Money

2 weeks

Instructional Objective

308.26 Count the value of a collection of bills and coins up to $10.00.

Standard Reference
3.M.1.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Count the value of a collection of bills and coins up to $10.00.

Ch. 3 and Lessons 5.3 and 20.9

Ways to Assess CD, (UASB)

Instructional Objective

308.27 Explore decimals using money through hundredths.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore decimals using money through hundredths.

Ch. 3 and Lessons 9.8, 16.5, 20.7, 20.8, 20.9, 21.8, 22.8

Ways to Assess CD, (UASB), TO

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Unit 6

Concepts and Principles of Measurement

4 weeks

Instructional Objective

308.28 Select and use appropriate units and tools to make formal measurements of length and temperature in both systems.

Standard Reference
3.M.2.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Select and use appropriate units and tools to make formal measurements of length and temperature in both systems.

Ch. 12, 13, 14, 17

Ways to Assess CD, (UASB)

Instructional Objective

308.29 Estimate length, time, and weight in real-world problems using standard units.

Standard Reference
3.M.2.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Estimate length, time, and weight in real-world problems using standard units.

Ch. 13, 14, 17

Ways to Assess CD, (UASB)

Instructional Objective

308.30 Identify relationships of length and time within the U.S. customary system and within the metric system.

Standard Reference
3.M.2.1.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify relationships of length and time within the U.S. customary system and within the metric system.

Ch. 13,14

Ways to Assess CD, (UASB), TO

Back to Top

Unit 7

Multiplication

5 weeks

Instructional Objective

308.31 Multiply whole numbers through 10 x 10.

Standard Reference
3.M.1.2.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Multiply whole numbers through 10 x 10.

Ch. 8, 9

Ways to Assess CD, (UASB)

Instructional Objective

308.32 Use the commutative property of multiplication.

Standard Reference
3.M.3.2.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use the commutative property of multiplication.

Lessons 4.1 and 8.2

Ways to Assess CD, (UASB), TO

Instructional Objective

308.33 Solve multiplication problems using the commutative property (e.g., If 24 x 38 = 912, then what is 38 x 24?).

Standard Reference
3.M.3.2.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Solve multiplication problems using the commutative property.

Lessons 4.1 and 8.2

Ways to Assess CD, (UASB), TO

Back to Top

Unit 8

Division

2 weeks

Instructional Objective

308.34 Explore the relationship between multiplication and division.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore the relationship between multiplication and division.

Lessons 10.3, 10.6, 11.2, 11.5, 11.7

Ways to Assess CD, (UASB), TO

Instructional Objective

308.35 Explore inverse (reversal) of operations with multiplication and division.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore inverse (reversal) of operations with multiplication and division.

Lessons 10.3-10.8, 11.2-11.5, 11.7-11.9

Ways to Assess CD, (UASB), TO

Instructional Objective

308.36 Use appropriate vocabulary.

Standard Reference
3.M.1.2.7

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Back to Top

Unit 9

Geometry

3 weeks

Instructional Objective

308.37 Identify, compare, and analyze attributes of two- and three-dimensional shapes including right angles, squares, and three-dimensional shapes in environment, and develop vocabulary to describe the attributes.

Standard Reference
3.M.4.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify, compare, and analyze attributes of two- and three-dimensional shapes including right angles, squares, and three-dimensional shapes in environment, and develop vocabulary to describe the attributes.

Ch. 15

Ways to Assess CD, (UASB)

Instructional Objective

308.38 Identify vertical and horizontal lines of symmetry.

Standard Reference
3.M.4.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify vertical and horizontal lines of symmetry.

Ch. 16

Ways to Assess CD, (UASB), TO

02

Identify congruency and similarity.

Ch. 16

 

Instructional Objective

308.39 Investigate perimeters in real-world situations.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Investigate perimeters in real-world situations.

Ch. 17

Ways to Assess CD, (UASB)

Instructional Objective

308.40 Discuss sliding, flipping, and turning two-dimensional shapes.

Standard Reference
3.M.4.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Predict and describe the results of sliding, flipping, and turning two-dimensional shapes.

Ch. 16

Ways to Assess CD, (UASB)

Instructional Objective

308.41 Use appropriate vocabulary.

Standard Reference
3.M.4.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Back to Top

Unit 10

Concepts of Time

1 week, Ongoing

Instructional Objective

308. 42 Tell time using both digital and analog clocks using quarter hour and 5-minute intervals.

Standard Reference
3.M.2.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Tell time using both digital and analog clocks using quarter hour and 5-minute intervals.

Ch. 12

Ways to Assess CD, (UASB)

Instructional Objective

308.43 State that there are 24 hours in a day, 7 days in a week, and 12 months in a year.

Standard Reference
3.M.2.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

State that there are 24 hours in a day, 7 days in a week, and 12 months in a year.

Ch. 12

Ways to Assess CD, (UASB), TO

02

Identify the amount of time that has elapsed between two given times.

Lessons 12.4, 12.5

Ways to Assess CD, (UASB)

Instructional Objective

308. 44 Solve real world problems related to time.

Standard Reference
3.M.2.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Solve real world problems related to time.

Ch. 12

Ways to Assess CD, (UASB), TO

Instructional Objective

308. 45 Use appropriate vocabulary.

Standard Reference
3.M.2.1.7

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Back to Top

Unit 11

Data Analysis, Probability, and Statistics

4 weeks

Instructional Objective

308.46 Identify the point of final destination given directions for movement on a positive number line.

Standard Reference
3.M.4.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify the point of final destination given directions for movement on a positive number line.

Lessons 6.7

Ways to Assess CD, (UASB)

Instructional Objective

308.47 Interpret information found in tables, bar graphs, and charts.

Standard Reference
3.M.5.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Interpret information found in tables, bar graphs, and charts.

Ch. 6 and Throughout Text

Ways to Assess CD, (UASB)

Instructional Objective

308.48 Understand and use appropriate vocabulary.

Standard Reference
3.M.5.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Understand and use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Instructional Objective

308.49 Collect, organize, and display data in tables, charts, or bar graphs in order to answer a question.

Standard Reference
3.M.5.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Collect, organize, and display data in tables, charts, or graphs in order to answer a question.

Ch .6

Ways to Assess CD, (UASB)

Instructional Objective

308.50 Predict, perform, and record results of simple probability experiments.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Predict, perform, and record results of simple probability experiments.

Ch. 6,7

Ways to Assess CD, (UASB)

Instructional Objective

308.51 Make predictions based on data.

Standard Reference
3.M.5.5.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Make predictions based on data.

Ch. 6,7

Ways to Assess CD, (UASB)

Instructional Objective

308.52 Understand and use appropriate vocabulary.

Standard Reference
3.M.5.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Understand and use appropriate vocabulary.

District List

Ways to Assess CD, (UASB), TO

Back to Top

Unit 12

Fractions/Decimals

4 weeks

Instructional Objective

308.53 Recognize, name, and represent commonly used fractions using concrete materials.

Standard Reference
3.M.1.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify visual or concrete representation of fractions.

Ch.18

Ways to Assess CD, (UASB)

02

Draw a representation of a given fraction or fractions that make up a whole.

Ch. 18

Ways to Assess CD, (UASB)

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Mathematics curriculum e-mail contact:
Boise School District
8169 W. Victory Rd., Boise, ID 83709
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