grade 2 math curriculum

Grade 2 Mathematics 1 Summer, 2006

Standard(s):2.2, 2.5

DESIRED RESULTSUnderstandings

Clocks and calendars are used to keep track of time. Number grids can be used to organize and discover patterns. Place value helps us to write numbers.

Essential Questions Knowledge and Skill What are number sequences? What is place value? What are equivalent numbers?

Everyday Math routines: Math Message Math boxes Partner and small group work/games Slate routine Calculator use Home Links

“Easy” addition facts.

ASSESSMENT EVIDENCETeacher observation of skill development includinganecdotal notes on class participation, work with peers, work with manipulatives, work in math journals, etc.

Count by 2s, 5s, and 10s. Make tallies and give totals.

LEARNING ACTIVITIES

Unit 1 Numbers and Routines


Standard(s):2.5,2.6, 2.7, 2.8


Addition and subtraction are inverse operations. Numbers can be added and/or subtracted using a variety of strategies.

Essential Questions Knowledge and Skill How can addition and subtraction be used to

model number stories? What is the +9 shortcut? How can missing numbers be identified in

number sequences?

Make up, represent, and solve addition stories

Review and practice addition facts strategies for: +0, +1, +2, +3, doubles, turn-around facts

Explore and practice the +9 shortcut, and doubles-plus-one and doubles-plus-two strategies

Identify related addition and subtraction facts in fact families

Review and practice subtraction facts strategies for –0, -1

Develop and practice counting-up and counting-back strategies for subtraction

Develop and practice –9 and –8 strategies Use a given addition or subtraction rule to

generate a number sequence; identify the rule for a given number sequence (“frames-and-arrows” routine)

Identify missing numbers in number pairs generated by a rule; determine the rule used to generate number pairs (“what’s my rule?” routine)

Review equivalent names for numbers

ASSESSMENT EVIDENCETeacher observation/anecdotal recordsMad Minute for addition facts.

LEARNING ACTIVITIESRead Fish Eyes: A Book You Can Count OnDominoes Version of Addition Top-ItFact triangles

Unit 2 Addition and Subtraction Facts


Standard(s):2.1, 2.11, 2.16, 2.17, 2.18


Different coin combinations can be used to pay for purchases.Telling time is done with digital or analogue clocks.Bar graphs can be used to represent data.

Essential Questions Knowledge and SkillWhat are equivalent coin combinations?How can base 10 blocks be used to represent numbers?How can the “counting up” strategy by used to make change?

Review place value in 2- and 3-digit numbers

Review coin combinations Introduction to making change by counting

up Entering data into a table and creating a bar

graph of the data Introduction to identifying the middle

(median) value of a set of data Complete frames-and-arrows problems with

2 rules Review telling time to the 5-minutes

ASSESSMENT EVIDENCEReview and practice addition and subtraction facts

Continue to practice addition and subtraction factsTeacher observation and anecdotal records.

LEARNING ACTIVITIES Frames and Arrows Data Day: Pockets

Unit 3 Place Value, Money and Time


Standard(s): 2.6, 2.7, 2.8, 2.23


The thermometer is an instrument used to measure temperature. The ruler measures length in inches or centimeters.

Essential Questions Knowledge and Skill How can parts-and-total number stories be

solved? How can estimation be used to solve

problems that do not require an exact answer?

What strategies can be used to add 2 and 3-digit numbers?

How can partial sums be used to perform addition problems that involved “carrying”?

Develop strategies for adding 2-digit numbers mentally

Develop and practice partial-sums algorithm for adding 2- and 3- digit numbers

Use estimation to check if answers are reasonable

ASSESSMENT EVIDENCEChecking Progress (oral, slate and written)

Secure on: Add and subtract multiples of 10

LEARNING ACTIVITIES

The Shopping Game

Unit 4 Addition and Subtraction


Standard(s): 2.20, 2.21, 2.22


Triangles and other polygons can be classified and sorted according to their traits. Parallel line segments are non-intersecting and coplanar. Symmetry can be used to describe patterns in nature and our surroundings.

Essential Questions Knowledge and Skill What are the rules used to classify shapes? What is a line segment and how is it

named? How can 4 sided shapes be classified?

(Quadrangles/quadrilaterals) What are the characteristics of 3-D shapes

including pyramids?

Identify rules used to classify shapes Explore similarities and differences among

attribute blocks and among triangles Name and classify polygons Develop readiness for multiplication Develop readiness for division Define, name, and draw line segments Introduction to concept of “parallel”; apply

this concept to line segments Identify names and characteristics of

various quadrilaterals Compare/contrast various 3-dimensional

shapes Find lines of symmetry in objects; complete

drawings to create symmetrical shapes Collect, sort, tally, and graph data Addition problems with several addends Solve comparison number stories Select and complete appropriate diagrams to

solve addition or subtraction number stories

ASSESSMENT EVIDENCE Teacher observation/anecdotal records Mad Minute for subtraction Checking Progress (oral, slate, written)

Teacher observation/anecdotal recordsMad Minute for subtractionSecure on: Identify 2-dimensional shapes 2-digit addition with regrouping

LEARNING ACTIVITIES

Unit 5 3-D and 2-D Shapes


Figuring out attribute rules Giving and following directions to make figures on a geoboard. Finding attribute blocks that differ by one or more attributes Splitting a triangle into 2, 3, and 4 triangles. Solving equal sharing problems Finding similarities and differences among shapes. Possible project: Boxes, Boxes, Beautiful Boxes and Snowflakes


Standard(s):2.7, 2.8, 2.9, 2.10


Diagrams can be used to solve addition and subtraction problems.

Essential Questions Knowledge and SkillWhat are the strategies for solving addition problems with three addends?How can comparison diagrams be used to solve comparison number stories?How can data be sorted and displayed to show relationships?

Collect, sort, tally, and graph data Addition problems with several addends Solve comparison number stories Select and complete appropriate diagrams to


ASSESSMENT EVIDENCE Checking Progress (oral, slate, written)

Secure on: Add 3 1-digit numbers mentally KNOW ALL SUBTRACTION FACTS

Mid-Year Checking ProgressTeacher observation/anecdotal recordsMad Minute

LEARNING ACTIVITIES Solving comparison number stories Data collection Comparing lengths of fish Solving addition and subtraction diagram problems Solving number stories Possible project: Dates on Pennies

Unit 6 Whole-Number Operations and Number Stories


Standard(s):2.3, 2.24, 2.25


Skip counting displays number patterns. Rulers are tools for measuring length. Sorting data promotes meaning.

Essential Questions Knowledge and Skill How do number grids model place value? What are strategies for totaling multiple

addends? Review patterns in skip-counting Review patterns on number grids; develop

place-value awareness by solving number-grid puzzles and arrow-path puzzles

Find complements of 10 Build mental arithmetic skills for adding 3 or

more 1- and 2-digit numbers Build patterns in doubling and halving Read weight in pound on a bathroom scale Measure length to the nearest inch and

centimeter Find the median of a set of data Make a frequency table and a bar graph of a set

of data

ASSESSMENT EVIDENCE Practice addition and subtraction facts as

necessary Practice 2-digit addition and subtraction

LEARNING ACTIVITIES Finding number patterns on a grid Play Hit the Target and Basketball Addition Read Anno’s Magic Seeds and One Grain of Rice

Unit 7 Patterns and Rules


Standard(s): 2.4


Fractions can be used to name parts of collections. Many different fractions can be used to name the same fractional part of a whole.

Essential Questions Knowledge and Skill What are equivalent fractions and how are

they used? What are strategies to order fractions? How can fractions be used to solve number

stories?

Identify rules used to classify shapes Explore similarities and differences among

attribute blocks and among triangles Name and classify polygons Develop readiness for multiplication Develop readiness for division Define, name, and draw line segments Introduction to concept of “parallel”; apply

this concept to line segments Identify names and characteristics of

various quadrilaterals Compare/contrast various 3-dimensional

shapes Find lines of symmetry in objects; complete

drawings to create symmetrical shapes Collect, sort, tally, and graph data Addition problems with several addends Solve comparison number stories Select and complete appropriate diagrams to


ASSESSMENT EVIDENCETeacher observation/anecdotal recordsChecking Progress (oral, slate, written)

Secure on: Shade a fractional part of a region Give the fraction name for the shaded part of a

region

LEARNING ACTIVITIES

Unit 8 Fractions


Dividing shapes into equal parts Finding fractions of collections of things Solving number stories involving fractions Finding how many pattern blocks of one size cover a pattern block of another size.


Standard(s): 2.12, 2.13, 2.14, 2.15, 2.17, 2.19


Different measuring systems can be used to measure the same thing. (yards and meters) Perimeter is the length around an object. Different units should be used depending on the object.

Essential Questions Knowledge and Skill What are equivalent linear measures? How do fractions facilitate the study of

measurement? What is the relationship between length and

perimeter? What is the difference between weight and

capacity? What is area?

Introduction to measuring with yard and meter Review measuring with inches, feet,

centimeters, and decimeters; begin a table of equivalent linear measures

Measure to the nearest ½ inch and ½ centimeter Introduction to concept of perimeter Introduction to concept of area Observe relationship among units of capacity Compare weights by feel; weigh objects; know

units of weight and equivalent measures

ASSESSMENT EVIDENCE Teacher observation/anecdotal records Checking Progress (oral, slate, written)

Secure on: Shade a fractional part of a region

Give the fraction name for the shaded part of a region

LEARNING ACTIVITIES Possible projects: Weather Station and Chinese Calendar How long is our classroom? Road map number stories How many pennies weigh an ounce? Possible project: How Far Can I Run in 10 Seconds? Make Gallon Guy.

Unit 9 Measurement


Standard(s): 2.11


Coins are a fractional portion of a dollar. Estimation is a valuable tool in problem solving.

Essential Questions Knowledge and Skill How can a calculator be used to assist with

problems involving money? What notation is used with values involving

money? When are estimated values sufficient in

problem solving?

Review dollars-and-cents notation, equivalencies for money amounts

Use a calculator to solve problems with money Estimate costs by rounding to the nearest 10

cents Make change by counting up Connect place value in money to place value in

base-10 blocks Use a place-value tool to extend place-value

concepts to ten-thousands Introduction to use of parentheses in number

models

ASSESSMENT EVIDENCE Teacher observation and anecdotal notes on

individual students. Written assessment.

LEARNING ACTIVITIES Finding different ways to pay for a grocery item Making strategy choices when playing Pick-a-Coin Determining if you have enough money to make a purchase Calculating change received.

Unit 10 Decimals and Place Value


Standard(s):2.5, 2.8, 2.9, 2.11, 2.25, 2.26


Multiplication is used to find the total number of items in several equal groups. Division is the inverse of multiplication.

Essential Questions Knowledge and SkillWhat patterns are visible in multiplication facts? Review addition, subtraction as necessary

Review and practice multiplication concepts Begin to work on multiplication facts Relate multiplication facts to division and

develop fact families Review as necessary

ASSESSMENT EVIDENCE Teacher observation/anecdotal records

Mad Minute for multiplication

Unit 11 Checking Progress (oral, slate, written)

Secure on: Multiply numbers with 0 or 1 as a factor 2-digit subtraction with regrouping

Unit 12 or Year-EndChecking Progress

LEARNING ACTIVITIES Finding the total cost of two items Writing number stories about purchases Comparing costs Solving difference comparison and ratio comparison problems

Unit 11 Whole Number Operations Revisited

grade 2 math curriculum

Documents