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 - Grade 2
Edition: 2005
Publisher: Houghton Mifflin
ISBN: 0-618-33862-4
Components
Ways to Success CD (Interventions)
Ways to Assess CD (Test and Spiral Review Generator)
Website www.eduplace.com (Activities, Games for Students, Parents, and Teacher)
Unit Resource Folders (Blackline Masters)
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope
| Unit 1 |
Mathematical Reasoning and Problem Solving |
Ongoing |
| Unit 2 |
Number Sense |
Ongoing |
| Unit 3 |
Algebra |
Ongoing |
| Unit 4 |
Addition and Subtraction to 18 |
4 Weeks |
| Unit 5 |
Place Value to 99 |
4 Weeks |
| Unit 6 |
Money |
3 Weeks |
| Unit 7 |
Time |
3 Weeks |
| Unit 8 |
Two-Digit Addition with and without Regrouping |
4 Weeks |
| Unit 9 |
Concepts and Principles of Geometry |
2 Weeks |
| Unit 10 |
Graphing and Probability |
2 Weeks |
| Unit 11 |
Concepts and Principles of Measurement |
2 Weeks |
| Unit 12 |
Fractions |
1 Week |
| Unit 13 |
Two-Digit Subtraction with and without Regrouping |
4 Weeks |
| Unit 14 |
Place Value to 999 |
2 Weeks |
| Unit 15 |
Extended Concepts |
2 Weeks |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit 1 |
Mathematical Reasoning and Problem Solving |
Ongoing |
|
Instructional Objective
208.01 Select strategies appropriate to solve a problem. |
Standard Reference
2.M.1.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use mental strategies to compute the sum or difference of two-digit
numbers. |
Ch. 10, 12 |
TMA |
|
02 |
Use logic to make a conjecture or draw a conclusion about a problem
situation. |
All Chapters |
TMA |
|
03 |
Develop and apply strategies for the solution of a problem arising
from a real-world or mathematical context. |
All Chapters |
TMA |
|
04 |
Use number patterns to solve problems. |
All Chapters |
TMA |
|
05 |
Solve addition word problems using whole numbers. |
Ch. 2, 10, 11 |
TMA |
|
06 |
Solve subtraction word problems using whole numbers. |
Ch. 3, 12, 13 |
TMA |
|
Instructional Objective
208.02 Generate a number sentence from a problem-solving situation. |
Standard Reference
2.M.3.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Generate a number sentence from a problem-solving situation. |
Lesson 3.8 |
TMA |
|
Instructional Objective
208.03 Select and use appropriate operations. |
Standard Reference
2.M.1.2.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Select and use appropriate operations for a variety of problem-solving
skills. |
Lessons 13.6, 22.6 |
TMA |
|
Instructional Objective
208.04 Select appropriate models to represent mathematical ideas. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use manipulatives, calculators, computers, and other tools to solve
mathematical problems. |
Manipulative Kit |
TMA |
|
Instructional Objective
208.05 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. |
All Chapters |
TMA |
|
Instructional Objective
208.06 Use appropriate vocabulary to communicate mathematical
information. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Describe or explain a problem situation or a mathematical concept
either orally or in writing. |
All Chapters |
TMA |
|
02 |
Explain or justify the strategy or solution for a problem situation,
relating every day language to mathematical terms and symbols. |
All Chapters |
TMA |
|
03 |
Respond to open-ended problems with a logic focus, using mathematical
language and representation and making connections to other strands. |
All Chapters |
TMA |
|
04 |
Respond to open-ended problems with an algebra focus, using mathematical
language and representation and making connections to other strands. |
All Chapters |
TMA |
|
Instructional Objective
208.07 Demonstrate knowledge of our numeration system by counting
in a variety of ways. |
Standard Reference
2.M.1.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Count objects in a set of up to 100 objects by ones, twos, fives,
tens, or hundreds, count objects up to 96 by threes or fours, and
identify the number that represents the total number of objects. |
Ch. 1, 5, 6 |
TMA |
|
02 |
Identify a number or series of numbers as odd or even. |
Lesson 6.1 |
TMA |
|
03 |
Identify an object in a specified ordinal position of up to 20 objects. |
Lessons 6.4 and 6.6 |
TMA |
|
Instructional Objective
208.08 Understand and apply appropriate vocabulary. |
Standard Reference
2.M.1.1.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply appropriate vocabulary in regards to number use. |
Grade 2 Vocabulary List |
TO |
|
Instructional Objective
208.09 Represent vertical notation in horizontal form. |
Standard Reference
2.M.3.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Represent vertical notation of addition and subtraction problems
in horizontal form. |
Ch. 2, 3, 10, 11, 12, 13 |
TMA |
|
Instructional Objective
208.10 Write a number sentence given an addition or subtraction
problem. |
Standard Reference
2.M.3.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write a number sentence when given an addition or subtraction problem. |
Ch. 2, 3, 12 |
TMA |
|
Instructional Objective
208.11 Extend patterns and identify the rule (function) that creates
the pattern. |
Standard Reference
2.M.3.4.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find, extend, and/or match a pattern found in a sequence of numbers
or objects. |
Lessons 1.5, 2.7, 5.1, 6.2, 6.5, 6.6, 7.7, 16.3, 16.6, 20.1, 20.3,
20.6, 20.9 |
TMA |
|
02 |
Identify the rule that describes the relationship. |
Lessons 1.5, 2.7, 5.1, 6.2, 6.5, 6.6, 7.7, 16.3, 16.6, 20.1, 20.3,
20.6, 20.9 |
TMA |
|
Instructional Objective
208.12 Understand and use appropriate vocabulary. |
Standard Reference
2.M.3.4.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Respond to open-ended problems with a pattern or function focus,
using mathematical language and representation and making connections
to other strands. |
Grade 2 Vocabulary List |
TMA |
|
Back to Top |
|
Unit 4 |
Addition and Subtration to 18 |
4 weeks |
|
Instructional Objective
208.13 Demonstrate proficiency with addition and subtraction facts
through 18. |
Standard Reference
2.M.1.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate proficiency with addition and subtraction facts through
18. |
Ch. 2, 3 |
TMA |
|
Instructional Objective
208.14 Understand the relationship between addition and subtraction
and demonstrate the reversal of operations. |
Standard Reference
2.M.3.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate the relationship between addition and subtraction, and
demonstrate the reversal of operations. |
Ch. 3 and Lesson 13.5 |
TMA |
|
Instructional Objective
208.15 Use the commutative property of addition. |
Standard Reference
2.M.3.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the commutative property of addition. |
Ch. 2 and Lesson 11.4 |
TMA
|
|
Instructional Objective
208.16 Solve addition problems using commutative property of addition.
(for e.g. if 7+5=12, then what i8s 5+7?) |
Standard Reference
2.M.3.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve addition problems using commutative property of addition.
(for e.g. if 7+5=12, then what i8s 5+7?) |
Chapter 2 Lessons 2.1, 2.6, 11.4 |
TO, TMA |
|
Instructional Objective
208.17 Use estimation to predict computation results. |
Standard Reference
2.M.1.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use estimation to predict computation results. |
Lessons 11.2, 13.3 |
TO, TMA |
|
02 |
Estimate the number of objects shown, up to 100 objects. |
Lesson 1.4 |
TMA |
|
Instructional Objective
208.18 Evaluate reasonableness of an answer. |
Standard Reference
2.M.1.3.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate reasonableness of an answer. |
All Chapters |
TMA |
|
Instructional Objective
208.19 Use appropriate vocabulary. |
Standard Reference
2.M.1.2.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary in regards to computation. |
Grade 2 Vocabulary List |
TO |
|
Instructional Objective
208.20 Read, write, order, and compare whole numbers to 1,000. |
Standard Reference
2.M.1.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the corresponding numeral for a given number word through
1,000. |
Ch. 1, 5, 6 |
TMA |
|
02 |
Write or identify a dictated number from 0 to 1,000. |
Ch. 1, 5, 6 |
TMA |
|
03 |
Identify the least or greatest number in sets of up to three-digit
whole numbers. |
Ch. 1, 5, 6 |
TMA |
|
04 |
Identify a number that comes before, after, or between numbers of
up to three-digits. |
Lessons 1.2, 1.3, 5.5, 6.3 |
TMA |
|
Instructional Objective
208.21 Demonstrate the knowledge of place value through 999. |
Standard Reference
2.M.1.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate the knowledge of place value through 999. |
Ch. 1, 5, 6 |
TMA |
|
Instructional Objective
208.22 Compare numbers using vocabulary (less than, greater than,
equal to) and symbols (<, >, =). |
Standard Reference
2.M.3.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compare numbers using vocabulary (less than, greater than, equal
to) and symbols (<, >, =). |
Lessons 1.3, 5.5 |
TMA |
|
Instructional Objective
208.23 Use appropriate vocabulary. |
Standard Reference
2.M.1.3.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary in regards to estimation and judging
reasonableness of an answer. |
Grade 2 Vocabulary List |
TO |
|
02 |
Respond to open-ended problems with a number focus, using mathematical
language and representation and making connections to other strands. |
All Chapters |
TMA |
|
Instructional Objective
208.24 Determine, by counting, the value of a collection of pennies,
nickels, dimes, and quarters, up to $1.00. |
Standard Reference
2.M.1.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine, by counting, the value of a collection of pennies, nickels,
dimes, and quarters, up to $1.00. |
Ch. 14, 15 |
TMA |
|
Instructional Objective
208.25 Explore decimals using money through hundreds. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore decimals using money through hundredths. |
Ch. 14, 15, 21, 22 |
TMA |
|
Instructional Objective
208.26 Tell time using both digital and analog clocks to the quarter
hour. |
Standard Reference
2.M.2.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the time shown on a traditional clock (times to the hour,
half hour, quarter hour, or five minutes). |
Ch. 16 |
TMA |
|
02 |
Identify the time shown on a digital clock (times, to the hour,
half hour, quarter hour, or five minutes). |
Ch. 16 |
TMA |
|
Instructional Objective
208.27 Explore the relationship among units of time. |
Standard Reference
2.M.2.1.4 2.M.2.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore the relationship among units of time. |
Ch. 16 |
TMA |
|
02 |
Recite the months of the year, in order. |
Ch. 16 |
TO |
|
Back to Top |
|
Unit 8 |
Two-Digit Addition with and without Regrouping |
4 weeks |
|
Instructional Objective
208.28 Add a series of one-digit addends. |
Standard Reference
2.M.1.2.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Add up to three single-digit numbers whose sum is 27 or less. |
Lesson 2.6 |
TMA |
|
Instructional Objective
208.29 Add whole numbers with and without regrouping through 99. |
Standard Reference
2.M.1.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Add whole numbers with and without regrouping through 99. |
Ch. 10, 11 |
TMA |
|
Back to Top |
|
Unit 9 |
Concepts and Principles of Geometry |
2 weeks |
|
Instructional Objective
208.30 Recognize, name, build, draw, compare, and sort two- and
three-dimensional shapes. |
Standard Reference
2.M.4.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify two-dimensional figures (square, circle, rectangle, triangle). |
Ch. 7 |
TMA |
|
02 |
Identify three-dimensional figures (sphere, cube, pyramid, cylinder,
rectangular prism). |
Ch. 8 |
TMA |
|
03 |
Classify geometric figures as plane or solid and make comparisons
between related shapes (e.g. – square/cube, circle/sphere). |
Ch. 7, 8 |
TMA |
|
Instructional Objective
208.31 Sort and classify objects by more than one attribute. |
Standard Reference
2.M.4.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Classify and sort objects according to specific attributes. |
Ch. 7, 8 |
TMA |
|
Instructional Objective
208.32 Recognize and create shapes that have symmetry. |
Standard Reference
2.M.4.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify and create shapes with symmetry. |
Lesson 7.4 |
TMA |
|
Instructional Objective
208.33 Explore slides, flips, and turns. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore congruence through the use of slides, flips, and turns. |
Lesson 7.6 |
TO, TMA |
|
Instructional Objective
208.34 Apply ideas about direction and distance. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Locate points on a coordinate grid. |
Lesson 4.4 |
TMA |
|
Instructional Objective
208.35 Indicate whether a number is above or below a benchmark
number of 1,000or less on a number line. |
Standard Reference
2.M.4.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Indicate whether a number is above or below a benchmark number of
1,000 or less on a vertical or horizontal number line. |
Lesson 1.2, 2.2, 3.2, 6.3,11.2, 13.3, 20.6 |
TMA |
|
Instructional Objective
208.36 Understand appropriate vocabulary. |
Standard Reference
2.M.4.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Respond to open-ended problems with a geometry focus, using mathematical
language and representation and making connections to other strands. |
Ch. 7, 8 |
TMA |
|
Instructional Objective
208.37 Expend patterns and identify the rule (function) that creates
the pattern. |
Standard Reference
2.M.3.4.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find, extend, and/or match a pattern found in a sequence of numbers
or objects. |
Lessons 6.5, 7.7 |
TMA |
|
02 |
Identify the rule that describes the relationship. |
Lessons 6.5, 7.7 |
TMA |
|
Instructional Objective
208.38 Understand and use appropriate vocabulary. |
Standard Reference
2.M.3.4.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Respond to open-ended problems with a pattern or function focus,
using mathematical language and representation and making connections
to other strands. |
Lessons 6.6, 15.8 |
TMA |
|
Instructional Objective
208.39 Interpret information found in simple tables, charts, and
graphs. |
Standard Reference
2.M.5.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Interpret information given in a table or chart, including finding
sums and differences of given quantities. |
Ch. 4, Lessons 8.5, 12.7, 13.6, 16.8, 19.6, 20.4, 22.3 |
TMA |
|
02 |
Interpret information given in a picture or bar graph, including
sums and differences of given quantities. |
Ch. 4, Lessons 17.8, 19.6, 20.4 |
TMA |
|
Instructional Objective
208.40 Gather and display data in tables, charts, and graphs in
order to answer a question. |
Standard Reference
2.M.5.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Gather and display data in tables, charts, and graphs in order to
answer a question. |
Ch. 4 |
TMA |
|
Instructional Objective
208.41 Use tally marks to represent data. |
Standard Reference
2.M.5.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use tally marks to represent data. |
Ch. 4 |
TMA |
|
Instructional Objective
208.42 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. 4 |
TMA |
|
Instructional Objective
208.43 Understand and use appropriate vocabulary. |
Standard Reference
2.M.5.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use and apply appropriate vocabulary in regards to data analysis. |
Ch. 4 |
TMA |
|
Back to Top |
|
Unit 11 |
Concepts and Principles of Measurement |
2 weeks |
|
Instructional Objective
208.44 Explore the use of standard and non-standard tools for
measuring time, length, volume, weight, and temperature. |
Standard Reference
2.M.2.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore the use of standard and non-standard tools for measuring
time, length, volume, weight, and temperature. |
Ch. 16, 17, 18 |
Not Assessed |
|
Instructional Objective
208.45 Apply estimation of measurement to real-world and content
problems using actual measuring devices. |
Standard Reference
2.M.2.1.1 2.M.2.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply estimation of measurement to real-world and content problems
using actual measuring devices. |
Ch. 16, 17, 18 |
TMA |
|
Instructional Objective
208.46 Use appropriate vocabulary. |
Standard Reference
2.M.2.1.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary in regards to use of U.S. customary and
metric measurements. |
Grade 2 Vocabulary List |
TO |
|
Instructional Objective
208.47 Explore fractions using manipulatives. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore fractions 1/4, 1/3, and 1/2. |
Ch. 9 |
TO, TMA |
|
Back to Top |
|
Unit 13 |
Two-Digit Subtraction with and without
Regrouping |
4 weeks |
|
Instructional Objective
208.48 Explore double-digit subtraction of whole numbers with
regrouping through 99. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore double-digit subtraction of whole numbers with regrouping
through 99 using manipulatives. |
Ch. 12, 13 |
TMA |
|
Instructional Objective
208.49 Read, write, order, and compare whole numbers to 1,000. |
Standard Reference
2.M.1.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the corresponding numeral for a given number word through
1,000. |
Ch. 20 |
TMA |
|
02 |
Write or identify a dictated number from 0 to 1,000. |
Lesson 20.4 |
TMA |
|
03 |
Identify the least or greatest number in sets of up to three-digit
whole numbers. |
Lessons 20.7, 20.8 |
TMA |
|
04 |
Identify a number that comes before, after, or between numbers of
up to three-digits. |
Lesson 20.6 |
TMA |
|
Instructional Objective
208.50 Demonstrate the knowledge of place value through 999. |
Standard Reference
2.M.1.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate the knowledge of place value through 999. |
Ch. 5, 20 |
TMA |
|
Instructional Objective
208.51 Compare numbers using vocabulary (less than, greater, than,
equal to) and symbols (<, >, =). |
Standard Reference
2.M.3.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compare numbers using vocabulary (less than, greater than, equal
to) and symbols (<, >, =). |
Lessons 5.5, 20.7 |
TMA |
|
Instructional Objective
208.52 Three-digit addition and subtraction to 999. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explore three-digit addition and subtraction to 999 with and without
regrouping. |
Ch. 21, 22 |
TMA |
|
Instructional Objective
208.53 Multiplication and division. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Introduce students to multiplication and division using manipulatives. |
Ch. 19 |
TMA |
Back to Top
|
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|
|
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