Mathematics - First Grade

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 1
Edition: 2005
Publisher Houghton Mifflin
ISBN: 0-618-33859-4

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

Copyright Resources

Course Scope

The following timeline is designed to be a guide. Teachers will evaluate each student and adjust instruction accordingly.

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

• For specific Standard References please see: Idaho State Assessment Standards
• Download this curriculum and standards documentation as a "Printer Friendly" pdf file
• Curriculum updated: 08/14/2007

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Unit 1

Calendar

Ongoing

108.01 Use a calendar to explore measurement of time.

Standard Reference
1.M.2.1.4, 1.M.2.1.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Read a calendar and identify the day for a given date, the date for a given day, or the date of specified day of the week (e.g., the third Monday) in a given month.

Text Ch.13, MTWSN Ch.7

TMA

02

Recite the days of the week, in order, and identify yesterday and tomorrow on a calendar.

Calendar activities

TMA

03

Use appropriate vocabulary.

See Vocabulary Grade1.

TO

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Unit 2

Graphs

Ongoing

108.02 Interpret information found in real object graphs and in pictographs to answer questions.

Standard Reference
1.M.5.1.1, 1.M.5.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Interpret information contained in a chart, graph, or table, using the concepts of largest, smallest, most often, least often, and more than.

Text Ch.4, MTW Ch.5, 6

TMA

02

Use appropriate vocabulary.

See Vocabulary Grade 1.

TO

108.03 Gather and display data in real object graphs and in pictographs to answer a question.

Standard Reference
1.M.5.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Organize and display given data in a graph, chart or table and describe everyday examples of data collection (e.g. attendance, air temperature).

Text Ch.4, MTW Ch.5, 6

TMA

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Unit 3

Counting

Ongoing

108.04 Demonstrate knowledge of our numeration system by counting in a variety of ways.

Standard Reference
1.M.1.1.1, 1.M.1.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Count by 1’s, 5’s, and 10’s to 100.

Text Ch.12, MTWSN Ch.5

TMA

02

Count by 2’s to 20.

Text Ch.12, MTWSN Ch.5

TMA

03

Count backwards by ones from 20.

MTW Ch.4, MTWSN Ch.5

TMA

04

Count by ordinal numbers (1^st to 10^th).

Text 305-306, MTW Ch.4, MTWSN Ch.5

TMA

05

Identify an object in a specified ordinal position in a row of up to 10 objects.

Text 305-306, MTW Ch.4, MTWSN Ch.5

TMA

06

Use appropriate vocabulary.

See Vocabulary Grade1.

TO

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Unit 4

Estimation

Ongoing

108.05 Estimate a quantity of objects when shown a set of 10.

Standard Reference
1.M.1.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Estimate the number of objects shown in pictures or with manipulatives.

Text 115, 616, MTW Ch.1, 11, MTWSN Throughout

TMA

108.06 Use estimation to predict computation results.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation to identify a reasonable answer to a simple addition or subtraction problem.

MTW Ch.1, 11, MTWSN Throughout

TMA

108.07 Use estimation to evaluate the reasonableness of an answer.

Standard Reference
1.M.1.3.2, 1.M.1.3.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use estimation to evaluate a reasonable answer.

MTW Ch.1, 11, MTWSN Throughout

TMA

02

Use appropriate vocabulary.

See Vocabulary Grade 1.

TO

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Unit 5

Mathematical Reasoning and Problem Solving

Ongoing

108.08 Select strategies appropriate for solving a problem.

Standard Reference
1.M.1.1.5

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use a problem-solving model to develop and apply problem-solving strategies (e.g., guess and check, draw a diagram, make a list, work backwards).

Text Throughout, MTWSN Ch.10

TMA

108.09 Select and use appropriate operations.

Standard Reference
1.M.1.1.5, 1.M.1.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Solve addition and subtraction word problems using whole numbers.

Text Throughout, MTW Ch.5-9, MTWSN Ch.10

TMA

02

Determine the operation to be used to solve a given word problem.

Text Throughout, MTW Ch.5-9, MTWSN Ch.10

TMA

03

Solve number sentences that use the symbols + or – and =.

Text Throughout, MTW Ch.5-9, MTWSN Ch.10

TMA

04

Use appropriate vocabulary.

See Vocabulary Grade 1.

TO

108.10 Draw a picture and generate a number sentence from a problem-solving situation.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Formulate problems from everyday mathematical situations.

Text Throughout, Box It and Bag It, MTWSN Ch.10

TMA

108.11 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

Identify +, -, and = signs and the vocabulary for each.

MTW Throughout, MTWSN Ch.8

TMA

02

Describe or explain a problem situation or a mathematical concept orally or in writing.

MTW Throughout, MTWSN Ch.8

TMA

03

Organize and display given data in a graph, chart, or table and describe everyday examples of data collection (e.g., attendance, air temperature).

Text Ch.4, MTW Throughout, MTWSN Ch.8

TMA

108.12 Select appropriate models to represent mathematical ideas.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use manipulatives and technology tools to solve mathematical problems (i.e. calculators and computers).

Text Throughout, MTW Throughout, MTWSN Throughout, Computer Programs (see Supplemental Materials List)

TMA

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Unit 6

Patterns/Classifying/Sortingc

September

108.13 Describe and extend a repeating pattern and identify the rule (function) that creates the pattern.

Standard Reference
1.M.3.4.1, 1.M.3.4.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Find and/or extend a repeating pattern found in a sequence of numbers, colors, or objects.

Text Ch.8, MTW Ch.2, 10, 11, 12, MTWSN Ch.9

TMA

02

Use appropriate vocabulary.

See Vocabulary Grade 1.

TO

108.14 Sort and classify objects by more than one attribute.

Standard Reference
1.M.4.1.2, 1.M.4.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Sort and classify objects according to specific attributes.

Text Ch.8, MTW Ch.3, MTWSN Ch.8

TMA

02

Use appropriate vocabulary.

See Vocabulary Grade1.

TO

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Unit 7

Basic Arithmetic

Oct. - Dec.

108.15 Use objects, pictures and symbols to add up to 10 and subtract from 9.

Standard Reference
1.M.1.2.1, 1.M.1.2.2, 1.M.1.2.3, 1.M.1.2.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Solve addition problems using objects, pictures, and symbols for sums up to 10.

Text Ch.2, 5, MTW Ch.7, 8, 9, MTWSN Ch.10

TMA

02

Solve subtraction problems using objects, pictures, and symbols from up to 9.

Text Ch.3, 6, MTW Ch.7, 8, 9 MTWSN Ch.10

TMA

03

Use appropriate vocabulary.

See Vocabulary Grade 1.

TO

108.16 Explore the relationship between addition and subtraction and demonstrate reversal of operations.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use manipulatives to demonstrate the meaning of addition and subtraction and the inverse relationship between the two operations.

MTW Ch.7-9, MTWSN Ch.10

TMA

108.17 Explore and use the commutative property of addition.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Demonstrate understanding of the commutative and associative properties by identifying related sentences in which either the order or grouping of the numbers has been changed.

Text 45-46, MTW Ch.9, MTWSN Ch.10

TMA

108.18 Write a number sentence given an addition or subtraction problem in both vertical and horizontal form.

Standard Reference
1.M.3.1.1, 1.M.3.1.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Draw a picture and/or write a number sentence when given an addition or subtraction word problem.

Text Ch.2, 3, MTWSN Ch.10

TMA

108.19 Represent vertical notation in horizontal form.

Standard Reference
1.M.3.1.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Represent vertical notation in horizontal form, and horizontal notation in vertical form.

Text Ch.2, 3, MTWSN Ch.10

TMA

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Unit 8

Number Sense and Place Value

January

108.20 Read, write, compare and order whole numbers to 100.

Standard Reference
1.M.1.1.2, 1.M.1.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Write numbers to 100.

MTW

TMA

02

Write or identify a dictated number from 0 to 100.

Text Ch.10, MTW Ch.4, 7, 8, 9, MTWSN Ch.6

TMA

03

Read the word form and identify the corresponding numeral for a given number from 0 to 10.

Text Ch.1, MTW Ch.4, 7, 8, 9

TMA

04

Identify the counting pattern in a number chart to 100 that is coded to show counting by 2’s, 5’s, and 10’s.

Text Ch.12, MTW Ch.7, 8, 9

TMA

05

Identify the number that comes before, after, or between numbers from 1 to 99.

Text Ch.1, 11, 12, MTW Ch.7, 8, 9

TMA

06

Order three two-digit numbers least to greatest.

Text Ch.12, MTW Ch.7, 8, 9

TMA

07

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

108.21 Identify place value through 99.

Standard Reference
1.M.1.1.3, 1.M.1.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify tens and ones in numbers from 1 through 99.

Text Ch.10, MTW Ch.11, MTWSN Ch.11

TMA

02

Count and group objects into tens and ones and say the total number of objects (e.g., two tens and five ones).

Text Ch.10, MTW Ch.11, MTWSN Ch.11

TMA

03

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

108.22 Compare numbers to 99 using vocabulary (less than, greater than, equal to, more, less, same, fewer).

Standard Reference
1.M.3.1.3, 1.M.4.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Compare numbers to 99 using vocabulary (less than, greater than, equal to, more, less, same, fewer).

Text Ch.11, MTW Ch.7

TMA

02

Indicate whether a number is above or below a benchmark number (100 or less) on a number line.

Text Ch.11

TMA

03

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

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Unit 9

Measurement and Time

February

108.23 Use standard and non-standard tools and units for measuring time, length, volume (capacity), weight, and temperature.

Standard Reference
1.M.2.1.1, 1.M.2.1.2, 1.M.2.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Compare length, weight, and volume of objects using standard and non-standard units of measure.

Text Ch.17, MTW Ch.5, MTWSN Ch.7

TMA

02

Estimate measurement using non-standard units.

Text Ch. 17, MTW Ch.5, MTWSN Ch.7

TMA

03

Identify appropriate instrument for the measurement of length, volume, weight or temperature.

Text Ch.17, 18, MTW Ch.5, MTWSN Ch.7

TMA

04

Use thermometer to measure temperature.

Text Ch.18, MTW Ch.5, MTWSN Ch.4

TMA

05

Tell time to hour and half-hour using digital and analog clocks.

Text Ch.13, MTW Ch.5, MTWSN Ch.7

TMA

06

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

108.24 Apply estimation of measurement to real-world and content problems using actual measuring devices.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Apply estimation of measurement to real-world and content problems using actual measuring devices.

Text Ch.13, 17, 18, MTW Ch.11, MTWSN Ch.7

TMA

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Unit 10

Money and Fractions

March

108.25 Identify each and state the value of pennies, nickels, and dimes.

Standard Reference
1.M.1.1.4, 1.M.1.1.6

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify a penny, nickel, or dime and its value given a real or pictured coin.

Text Ch.14, MTW Ch.11, MTWSN Ch.7, 11

TMA

02

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

108.26 Use concrete materials to represent commonly used fractions.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify shapes that are divided into equal parts.

Text Ch.9

TMA

02

Identify the fraction that represents the shaded part of a given shape (halves).

Text Ch.9

TMA

03

Identify a pictorial representation of a fraction (halves).

Text Ch.9

TMA

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Unit 11

Mastery of Basic Arithmetic

April - May

108.27 Demonstrate proficiency of addition up to 10 and an understanding of subtraction from 9.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Recall basic addition number facts involving sums to 10.

Text Ch.2, 5, MTW Ch.7, 8, 9, MTWSN Ch.10

TMA

02

Recall basic subtraction number facts involving minuends of 9 or less.

Text Ch.3, 6, MTW Ch.7, 8, 9, MTWSN Ch.10

TMA

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Unit 12

Geometry

May

108.28 Recognize, name, build, draw, and sort two- and three-dimensional shapes.

Standard Reference
1.M.4.1.1, 1.M.4.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify and name square, circle, rectangle, triangle, cube, sphere, cylinder, cone, and pyramid.

Text Ch.7, MTW Ch.2, 12

TMA

02

Classify a geometric figure as flat or solid (square, circle, rectangle, triangle, cube, sphere, cylinder, cone, and pyramid).

Text Ch.7, MTW Ch.12

TMA

03

Use appropriate vocabulary.

See Vocabulary Grade 1

TO

108.29 Recognize and create shapes that have symmetry.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Recognize and create shapes that have symmetry.

Text Ch.8, MTW Ch.10, MTWSN Ch.9

TMA

108.30 Explore slides, flips, and turns.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore slides, flips, and turns of a figure.

Text Ch.8, MTW Ch. 11, MTWSN Ch.9

TMA

108.31 Explore ideas about direction and distance.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Explore ideas about direction, distance, location and movement.

Text Ch.8, MTW Ch.11, MTWSN Ch.9

TMA

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Unit 13

Probability

May

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

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Predict a probable outcome based on information about a specific event (e.g., choosing an object, spinning a spinner).

Text Ch.9, MTW Ch.5, 6, 11

TMA

108.33 Make predictions or decisions based on probable results or past experiences.

Standard Reference

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Make predictions or decisions based on probable results or past experiences.

Text Ch.9, MTW Ch.1, 11

TMA