grade 2 math curriculum
DESCRIPTION
Grade 2 Math CurriculumTRANSCRIPT
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
Grade 2 Mathematics 2 Summer, 2006
Standard(s):2.5,2.6, 2.7, 2.8
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 3 Summer, 2006
Standard(s):2.1, 2.11, 2.16, 2.17, 2.18
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 4 Summer, 2006
Standard(s): 2.6, 2.7, 2.8, 2.23
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 5 Summer, 2006
Standard(s): 2.20, 2.21, 2.22
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 6 Summer, 2006
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
Grade 2 Mathematics 7 Summer, 2006
Standard(s):2.7, 2.8, 2.9, 2.10
DESIRED RESULTSUnderstandings
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
solve addition or subtraction number stories
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
Grade 2 Mathematics 8 Summer, 2006
Standard(s):2.3, 2.24, 2.25
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 9 Summer, 2006
Standard(s): 2.4
DESIRED RESULTSUnderstandings
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
solve addition or subtraction number stories
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
Grade 2 Mathematics 10 Summer, 2006
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.
Grade 2 Mathematics 11 Summer, 2006
Standard(s): 2.12, 2.13, 2.14, 2.15, 2.17, 2.19
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 12 Summer, 2006
Standard(s): 2.11
DESIRED RESULTSUnderstandings
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
Grade 2 Mathematics 13 Summer, 2006
Standard(s):2.5, 2.8, 2.9, 2.11, 2.25, 2.26
DESIRED RESULTSUnderstandings
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