SECOND GRADE MATH STANDARDS
THESE STANDARDS MUST BE MASTERED BY THE END OF YOUR CHILD’S SECOND GRADE YEAR. FAILURE TO MEET THESE STANDARDS COULD RESULT IN RETENTION OR REFFERAL TO SUMMER SCHOOL.
Calculate the values of coin and bill combinations
Know addition facts for sums to 10
Identify place value for one, tens, and hundreds
Complete number sequences; identify and use number patters to solve problems
Find equivalent names for numbers
Compare numbers; write the symbol <, >, or =
County by 2s, 5s, and 10s
Make tallies and give the total
Know “harder” subtraction facts
Know “harder” addition facts
Know “easier” subtraction facts
Complete “What’s My Rule?” tables
Solve subtraction number stories
Know “easier” addition facts
Construct fact families for addition and subtraction
Complete simple Frames-and-Arrows diagrams
Solve addition number stories
Find equivalent names for numbers
Solve Frames-and-Arrows problems having two rules
Make change
Know “harder” subtraction facts
Tell time to 5-minute intervals
Identify place value in 2-digit and 3-digit numbers
Show “P,” “N,” “D,” and “Q” for a given amount
Know addition facts
Know “easier” subtraction facts
Devise and use strategies for finding sums of 2-digit numbers
Devise and use strategies for finding differences of 2-digit numbers
Estimate approximate costs and sums
Read F on a thermometer
Add and subtract with multiples of 10
Identify 3-dimensional shapes, such as rectangular prisms, cylinders, pyramids, cones, and spheres
Identify symmetrical figures
Find common attributes of shapes
Identify parallel and nonparallel line segments
Draw line segments
Identify 2-dimensional shapes
Solve stories about multiples of equal groups
Solve equal-grouping and equal-sharing division problems
Use the trade-first method to solve 2-digit subtraction problems
Make ballpark estimates of exact answers
Model multiplication problems with arrays
Add three 2-digit numbers mentally
Add and subtract with multiples of 10
Solve addition and subtraction number stories
Add three 1-digit numbers mentally
Find missing addends for any multiple of 10
Find the median (middle value) of a data set
Add three 2-digit numbers mentally
Measure to the nearest inch
Measure to the nearest centimeter
Know complements of 10
Count by 2s, 5s, and 10s and describe the patterns
Find missing addends for the next multiple of 10
Solve number-grid puzzles
Plot data on a bar graph
Compare fractions less than one
Understand fractions as names for equal parts of a region or set
Understand that the amount represented by a fraction depends on the size of the whole (ONE)
Shade a specified fractional part of a set
Give the fraction name for the shaded part of a set
Find the equivalent fractions for given fractions
Shade a specified fractional part of a region
Give the fraction name for the shaded part of a region
Identify equivalencies for mm, cm, dm, and m
Measure to the nearest ½ inch
Measure to the nearest ½ cm
Use appropriate units for measurement and recognize sensible measurements
Find area concretely
Find perimeter concretely
Identify equivalencies for inches, feet, and yards
Use a ruler, tape measure, and meter/yardstick correctly
Use parentheses in number models
Solve money stories involving change
Estimate totals for “ballpark” check of exact answers
Know and express automatically the values of digits in 5-digit numbers
Read and write money amounts in decimal notation
Use equivalent coins to show money amounts in different ways
Use a calculator to compute money amounts in different ways
Use a calculator to compute money amounts
Exchange pennies, nickels, dimes, and quarters
Know and express automatically the values of digits in 2-, 3-, and 4-digit numbers
Estimate and solve addition and subtraction number stories with dollars and cents
Solve 1-digit multiplication stories (multiples of equal groups)
SECOND GRADE MATH CURRICULUM
AUGUST/SEPTEMBER
NUMERATION
Count numbers before and after a given number; stop-and-start counting by 2’s, 5’s and 10s
Tallying; count by 100s, 10s and 1s to find the value of combinations of $1, $10, and $100 bills
Review grouping by 10s: Money Exchange Game with $1, $10, and $100 bills
Make a class number scroll from 0 to 1,000; explore place-value patterns on number grids
Equivalent names for numbers: “Broken calculator” problems
Review basic calculator functions; skip count on calculators
Compare numbers; using words, pan-balance problems, and the relation symbols=, <, and >
Combine values of 1s, 10s, and 100s in base-10 block structures
Use unit boxes to put numbers in context
OPERATIONS AND COMPUTATION
Practice addition facts: Math Journal exercises; Addition Top-It; dominoes
Practice naming parts of a total: Penny-Cup
Make up and solve addition number stories using number models and unit boxes
Develop Fact Power
Make up subtraction number stories from number models; review –0 and –1 shortcuts; relate subtraction facts to corresponding addition facts using dominoes
Multiplication readiness: Make equal groups of “eggs” in “nests”
PATTERNS, FUNCTIONS, AND ALGEBRA
Complete and extend number sequences and number lines
Explore patterns on number grid; use number grid to solve problems
Number Grid: Explore patterns on the Class Number Grid; complete number grid puzzles; identify missing numbers on a number grid
Describe and continue number sequences
Explore number patterns from counts using a calculator
Number models; addition number stories; subtraction number stories
Complete number-grid puzzles; count to find distances on a number grid
Patterns from Fact Table to learn addition fact
GEOMETRY
Identify shapes on Pattern-Block Template
Made and color designs with Pattern-Block Template
MEASUREMENT
Count combination of coins
Daily temperature routine: Read outdoor temperature and display on Class Thermometer Poster
Use a pan balance to compare weights of different objects
Use a spring scale to find a set of objects whose combined weight is about 1 pound
Weather Station Project: Read thermometers using both Fahrenheit and Celsius scales
DATA AND CHANCE
Weather Station Project: Observe and collect data on outdoor weather conditions and temperatures
NPO 1.1 Demonstrates number sense (concepts of counting, grouping, and place value) using manipulatives
NPO.1.2 Develop meaning for the operations (e.g., add, subtract, multiply, and divide) by modeling and discussing a variety of problem
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole).
NPO 1.7 Communicate understanding of number sense, properties, and operations through journal writing, creating problems, constructing mathematical sentences, etc.
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF.1.1 Sort and classify a wide variety of materials.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
PAF.1.3 Demonstrate equality (=) and inequality (<, >) using manipulatives and symbols.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
GS.2.2 Construct and explain geometric patterns using concrete and pictorial models, with one or more attributes (color, shape, size, etc.).
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
M 3.2 Solve problems using measuring instruments and technology.
DASP 1.1 Utilize the scientific method for data analysis.
C. Collect and organize data (tables, graphs, etc.).
DASP 3.3 Use the tools of technology to assist in gathering, organizing, and presenting information.
OCTOBER
NUMERATION
Pan-balance problems to compare values
Equivalent names for numbers; name-collection boxes
Boxes, Boxes, Beautiful Boxes Project: Name fractional parts
Chinese Calendar Project: Count up and back by 12s using 4-digit numbers
Place value in 2-and 3-digit numbers
Dollar Rummy to practice complements of 100
OPERATIONS AND COMPUTATION
Fact families: To demonstrate inverse relationship between addition and subtraction facts
Practice addition and subtraction facts
Name That Number to identify sums and differences to name a given number
Solve subtraction number stories
Use addition or subtraction rules for Frames-and –Arrows problems
Counting-back and counting-up strategies for subtraction
Shortcuts for subtracting 8 or 9 from any number
PATTERNS, FUNCTIONS, AND ALGEBRA
Review Frames-and-Arrows
Review “What’s My Rule?” routines and notation
Use function machines to complete “What’s My Rule?” tables
Frames-and-Arrows problems about money
Frames-and-Arrows problems; using coins; with two rules
GEOMETRY
Make, describe, and compare shapes on a geoboard
MEASUREMENT
Use a pan balance to compare weights of different objects
Review vales and exchanges among coins and $1 bills
Fruit and Vegetables Stand Poster: Use coins to make purchases and change
DATA AND CHANCE
Collect data: number of pockets on clothes
Order “pocket” data to find middle value (median)
Record “pocket” data: tally chart
Display “pocket” data: bar graph
Practice reading a bar graph
Dates on Pennies Project: Use tallies and graphs to compare data
NPO 1.1 Demonstrates number sense (concepts of counting, grouping, and place value) using manipulatives
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF.1.1 Sort and classify a wide variety of materials.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
M 3.2 Solve problems using measuring instruments and technology.
DASP 1.1 Utilize the scientific method for data analysis.
C. Collect and organize data (tables, graphs, etc.).
E. Display data using appropriate bar graphs, tables, pie graphs, etc., with and without technology.
DSP.1.2 Explain the results of data collection using oral and written communication.
DSP.2.2 Record the results of data collection with a variety of formats that could include
charts, graphs, tables, and technology, using oral and/or written communication.
DSP.3.2 Make a true statement based on a simple concept of average (median, mean, mode and range) for a small sample size.
NOVEMBER
NUMERATION
Count by 5s, 10s and 25s from different starting numbers
Dates on Pennies Project: Gain experience working with 4-dgit numbers within familiar yearly notation
Use symbols <, >, and = to compare numbers and money amounts
OPERATIONS AND COMPUTATION
Solve change-to-more number stories; use change diagrams
Solve parts-and-total number stories; use parts-and-total diagrams
Addition Spin; to practice adding numbers that are multiples of 5; to practice adding 2-digit numbers
Solve temperature change problems using change diagrams
Use estimation to solve problems and share solutions; School Supply Store Poster
Adding 2-digit numbers mentally
PATTERNS, FUNCTIONS, AND ALGEBRA
Frames-and-Arrows problems: with two rules
Find distances between numbers on a number line
Sort attribute blocks by size, color, and shape
Sort attribute blocks according to whether they fit a given rule or not
GEOMETRY
Develop readiness for classifying geometric shapes by sorting attribute blocks by size, color, and shape
Snowflakes Project: Experiment with paper-folding and create paper snowflakes that represent real 6-sided water crystals
MEASUREMENT
Use posters to simulate making purchases
Identify coins to make a purchase; make change
Making Change to identify coins equal to a given value and make change
Make coin booklets showing total value of groups of coins
Discuss and compare inch and centimeter scales
Measure lengths and distances to the nearest inch and centimeter
Tile surfaces with blocks, cards, and paper (preparation for area)
DATA AND CHANCE
NONE
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole).
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
PAF 1.1 Sort and classify a wide variety of materials.
PAF 1.2 Describe, extend, and create a wide variety of patterns using concrete models.
PAF.1.6 Use oral and/or written communication to interpret created patterns.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS.2.2 Construct and explain geometric patterns using concrete and pictorial models, with one or more attributes (color, shape, size, etc.).
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
M 3.2 Solve problems using measuring instruments and technology.
M.3.3 Pose problems using customary (inches, feet, etc.), nonstandard (paper clip,
Thumbnail, etc.), and metric (centimeters, meters, etc.) measurements in real world
situations.
DECEMBER
NUMERATION
Dollar Rummy to identify complements of 100
OPERATIONS AND COMPUTATION
Practice adding 2-digit numbers
Develop paper-and-pencil strategies for adding 2-digit and 3-digit numbers (2, 3, and 4 addends)
Use ballpark estimates to check reasonableness of answers
Introduce partial-sums algorithm using base-10 blocks and paper and pencil
Practice adding 2-and 3-digit numbers using the partial-sums algorithm
Addition Spin to practice adding 2-digit numbers
Division readiness: Act out equal-sharing situation with “eggs” and “nests”
Shopping to mentally add 2-digit numbers, pay, and make change by counting up
Explore multiplication concepts by making rectangular arrays and recording on grid paper
PATTERNS, FUNCTIONS, AND ALGEBRA
“What’s My Rule?” and Frames-and Arrows problems
Determine the sorting rule (size, shape, color) for a set of attribute blocks
Find sets of attribute blocks that differ by at least one attribute (size, shape, color)
GEOMETRY
Explore pattern-block designs to find different ways to cover hexagons
Give and follow directions for making shapes on a geoboard
Form triangles on a geoboard and list similarities and differences
Review the shapes on the Pattern-Block Template and the names and characteristics (number of sides and angles) of polygons
Construct polygons on geoboards and compare with other polygons
Explore points and line segments by labeling and drawing
Identify and examine parallel and nonparallel line segments
Explore characteristics of quadrangles
Combine triangles and rectangles to make other shapes
Explore characteristics of 3-dimensional shapes
Draw and count line segments to make polygons
Explore meaning of line symmetry
DATA AND CHACE
NONE
NPO 1.1 Demonstrates number sense (concepts of
counting, grouping, and place value) using manipulatives.
NPO.1.2 Develop meaning for the operations (e.g., add, subtract, multiply, and divide) by modeling and discussing a variety of problem
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF 1.1 Sort and classify a wide variety of materials.
PAF 1.2 Describe, extend, and create a wide variety of patterns using concrete models.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
GS1.3 Determine the relationship between shapes/figures using congruence and similarity, and using transformation (flips, slides, and rotations).
GS.1.4 Predict and determine the results of combining, dividing, and subdividing shapes/figures.
GS.1.6 Use manipulatives and technology to demonstrate geometric concepts (positional relationship, size, direction, area, volume, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
M 3.2 Solve problems using measuring instruments and technology.
M.3.3 Pose problems using customary (inches, feet, etc.), nonstandard (paper clip,
thumbnail, etc.), and metric (centimeters, meters, etc.) measurements in real world
situations.
JANUARY
NUMERATION
Count by 2s, 5s, and 10s, from any starting number, orally and with a calculator
OPERATIONS AND COMPUTATION
Review strategies for solving addition problems: Three addends with three or more addends
Estimate sums of 2-digit numbers; use the partial-sums algorithm to add 2-digit numbers
Solve comparison number stories; use comparison diagrams and write number models
Addition Top-It (advanced version) to practice adding three or four numbers
Categorize number stories; use appropriate diagram; write number models to summarize solutions
Model subtraction of 2-digit numbers; introduce trade-first subtraction algorithm
Practice addition and subtraction facts using Fact Triangles
Explore arrays as models of multiplication: introduce diagrams and number models for multiplication problems; number stories about equal groups
Solve multiplication problems by using multiplication diagrams and array models
Division readiness: Divide collections; model equal-sharing and equal-grouping situations
Three Addends to practice addition strategy of looking for “easy-to-add” combinations of numbers
Estimate differences; use the trade-first subtraction algorithm
Timed-facts inventory of addition and subtraction facts; review complements of 10 and multiples of 10
Hit the Target: to practice finding differences between 2-digit numbers and higher multiples of 10
PATTERNS, FUNCTIONS, AND ALGEBRA
Write number models: for addition problems with three or more addends; for comparison number stories; for change, parts-and-total, and comparison number stories
Identify missing numbers represented by variables in addition and subtraction diagrams
Introduce number models for multiplication problems
Number grid: Make and describe counting patterns on a number grid; review ones and tens patterns on number grids; complete number-grid puzzles; arrow paths
GEOMETRY
Review symmetry: Use templates to draw mirror images of pattern-block designs
MEASUREMENT
Measure the lengths of various objects to the nearest inch and centimeter
DATA AND CHANCE
Collect and organize date: made data-table tally of favorite class foods according to food group
Analyze “favorite foods” data table
Display “favorite foods” date: Make bar graph
NPO.1.2 Develop meaning for the operations (e.g., add, subtract, multiply, and divide) by modeling and discussing a variety of problem
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole).
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
PAF.1.4 Demonstrate the beginning concept of a variable. (Use boxes, letter, or other symbols to stand for any number or object in simple situations, with or without concrete material, such as 6 + ___ = 8 or 3 + B = 4, etc.).
PAF.1.6 Use oral and/or written communication to interpret created patterns.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
GS1.3 Determine the relationship between shapes/figures using congruence and similarity, and using transformation (flips, slides, and rotations).
GS.1.6 Use manipulatives and technology to demonstrate geometric concepts (positional relationship, size, direction, area, volume, etc.).
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
DASP 1.1 Utilize the scientific method for data analysis.
C. Collect and organize data (tables, graphs, etc.).
D. Analyze and interpret data (prediction, inference, conclusion, etc.).
E. Display data using appropriate bar graphs, tables, pie graphs, etc., with and without technology.
FEBRUARY
NUMERATION
Review basic fraction concepts for regions and collections:
*Division into equal parts: Fold squares into halves, fourths, and eights; identify equal shares of collections; divide regions into equal parts
*Explain terns: numerator and denominator
*Identify and/or label fractional parts: of shapes/regions; of collections
*Fraction Museum
*Pattern blocks as fractions and multiples of one another
*Find equivalent fractions by matching fractional parts of circles
Identify equal fractions: Fraction Cards
Equivalent Fractions Game to identify equivalent fractions
Find fractions of collection
OPERATIONS AND COMPUTATION
Estimate differences for subtraction with 2-digit numbers; subtract 2-digit numbers
Basketball Addition to build mental arithmetic skills for adding three or more 1-digit and 2-digit numbers
Division readiness: Solve a problem involving the equal sharing of money
Hit the Target to practice finding differences between 2-digit numbers and higher multiples of 10
Array Bingo to practice finding the total number of items in an array
Solve multiplication and division number stories using arrays
Make “geoboard fences” to explore arrays
PATTERNS, FUNCTIONS, AND ALGEBRA
Doubling and halving patterns: “Wubbles”
Collections Project: Describe a collection in terms of number, size, age, and other attributes
GEOMETRY
Use two pattern-block shapes to create a continuous pattern
MEASUREMENT
Estimate weights and weigh objects on a bathroom scale
Measure the length of a standing long jump in centimeters
Measure the length of an arm span in inches
Measure line segments to the nearest inch and centimeter
Estimate and find volumes of base-10 block structures by counting cubes
DATA AND CHANCE
Collect data: standing long jump
Collect data: arm span
Sort “long jump” data in s\ascending order
Find median of “long jump” data
Organize “arm span” data: frequency table and lineplot
Display “arm span” date: bar graph
Analyze “arm span’ data; median from line plot
Time Capsule Project: Agree on, collect, and display information to be included in a time capsule; make predictions about life four years in the future (Unit 7 or after or at the end of the year)
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.5 Demonstrate competency of operations (e.g. add, subtract, multiply, and divide) using mental math and technology.
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole).
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF 1.1 Sort and classify a wide variety of materials.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
PAF.1.4 Demonstrate the beginning concept of a variable. (Use boxes, letter, or other symbols to stand for any number or object in simple situations, with or without concrete material, such as 6 + ___ = 8 or 3 + B = 4, etc.).
PAF.1.6 Use oral and/or written communication to interpret created patterns.
GS 1.1 Sort, classify, and construct geometric shapes/figures using a variety of manipulatives.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
DASP 1.1 Utilize the scientific method for data analysis
A Identify the purpose (problem statement) for data collection
B Make a prediction about the final results of data collected
C. Collect and organize data (tables, graphs, etc.).
D. Analyze and interpret data (prediction, inference, conclusion, etc.).
E. Display data using appropriate bar graphs, tables, pie graphs, etc., with and without technology.
DSP.3.1 Predict results, analyze data, and find out why some results are more likely, less likely, or equally likely.
DSP.3.2 Make a true statement based on a simple concept of average (median, mean, mode and range) for a small sample size.
MARCH
NUMERATION
Sort fractions by size
Fraction Top-It to compare fractions
Equivalent Fractions Game to identify equivalent fractions
OPERATIONS AND COMPUTATION
Make up and solve number stories involving fractions of collections
Number stories about road-map distances
Solve problems involving weight
PATTERNS, FUNCTIONS, AND ALGEBRA
“What’s My Rule?” tables; equivalent measures of capacity
GEOMETRY
Perimeters of polygons
Identify number of triangles and trapezoids in a flag
Capacities of cylinders
Areas of drawn/traced shapes
Build and draw pattern-block wall
MEASUREMENT
Length: Measure in nonstandard and standard units; measure in U.S. customary and metric systems; find perimeters
Discuss categories of measures and corresponding tools
Explore capacities of cylinders
Area: units of area; estimate/find area using cm and in. grids
Compare area and perimeter
Capacity: unit names, relationships, and equivalencies
Weight: units names and equivalencies; tools for measuring; compare/estimate weights by feel
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole)
NPO 1.7 Communicate understanding of number sense, properties, and operations through journal writing, creating problems, constructing mathematical sentences, etc.
.
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF.1.3 Demonstrate equality (=) and inequality (<, >) using manipulatives and symbols
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
GS.1.4 Predict and determine the results of combining, dividing, and subdividing shapes/figures.
GS.2.1. Estimate and measure the size of geometric figures/shapes in the real world (length, width, perimeter, area, volume etc.).
GS.2.3. Use manipulatives and technology to solve problems involving perimeter, area, volume, etc.
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M.1.2. Select, demonstrate and defend the use of appropriate units of measure
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
M.3.3 Pose problems using customary (inches, feet, etc.), nonstandard (paper clip,
Thumbnail, etc.), and metric (centimeters, meters, etc.) measurements in real world
situations.
APRIL
NUMERATION
Show equivalent amounts of money with different combinations of coins
Review decimal notation for dollars and cents; pennies and dimes as fractional parts of a dollar
Enter money amounts on calculator
Equivalent Fractions Game to identify equivalent fractions; Fraction Top-It to compare fractions
Divide shapes on a geoboard into fractional parts
Represent 3- and 4-digit numbers with base—10 blocks; review zero as a placeholder
Compare place value; Money Exchange Game to practice place-value exchanges
Make place-value tool
Count by 10s, 100s, 1000s, and 10,000s; read numbers through 5 digits
Practice order-of-magnitude relationships among place values
Review order-of magnitude relationships among place values
OPERATIONS AND COMPUTATION
Add dollar amounts by calculating word values with letters assigned different dollar amounts
Pick-a-Coin to practice adding money problems using a calculator
Good Buys Poster: Estimate cost of multiple items and find exact cost; estimate change; count up to make change; estimate total cost
Solve problems and puzzles involving parentheses
Art Supply Poster: Estimate of cost of two items; figure out exact cost of two items with 2- or 3- digit prices; count up to calculate change; find difference between costs of two items
Hit the Target to practice finding differences between 2- digit numbers and higher multiples of 10
Make up and solve number stories about multiples of equal groups using manipulatives
Multiplication/division diagrams and number models; solve and represent multiplication stories
PATTERNS, FUNCTIONS, AND ALGEBRA
Introduce parentheses in number models
GEOMETRY
Build shapes with trapezoids and record with Pattern-Block Template
Divide shapes on a geoboard into fractional parts
MEASUREMENT
Review values of coins and bills
Review money exchanges and equivalencies
Good Buys Poster: Make equivalent amounts of money using different coins; estimate combined costs of items
Then-and-Now Poster: Compare prices from past and present
Find areas of hands and feet using centimeter grid paper
DATA AND CHANCE
NONE
NPO 1.1 Demonstrates number sense (concepts of counting, grouping, and place value) using manipulatives
NPO.1.2 Develop meaning for the operations (e.g., add, subtract, multiply, and divide) by modeling and discussing a variety of problem
NPO 1.3 Apply and master counting, grouping, place value, and estimation
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.6 Use manipulatives to demonstrate and compare rational numbers/fractions
(e.g., find simple parts of a whole).
NPO 1.7 Communicate understanding of number sense, properties, and operations through journal writing, creating problems, constructing mathematical sentences, etc.
NPO 2.1 Represent numbers and operations (addition, subtraction multiplication, and division) in a variety of forms using manipulatives, symbols, and graphs (pictographs, etc.)
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO.2.3 Apply computation (add, subtract, multiply, and divide) and estimation to real world problems.
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
NPO.2.5 Describe and compare quantities by using concrete and real world models of
fractions.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
GS 1.2 Describe, model, draw, construct, compare and classify shapes in one, two, and three dimensions.
GS.1.4 Predict and determine the results of combining, dividing, and subdividing shapes/figures.
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
M 2.4 Illustrate geometric concepts through written and oral communication (For example, A am a rectangular house. My windows are squares. My door is a rectangle. My roof is a triangle.)
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature.
MAY
NUMERATION
NONE
OPERATIONS AND COMPUTATION
Multiplication/division diagrams and number models: Solve and represent division stories
Use arrays to list multiplication facts and find products; introduce/practice 2s, 5s, and 10s facts
Complete table of multiplication facts through 10 x 10; introduce turn-around rule; introduce terms: factor and produce; practice multiplication and division with 2, 5, and 10
Introduce multiplication/division fact families; write fact families on backs of Fact Triangles
Practice multiplication and division facts; write division stories
Solve multidigit addition and subtraction problems
Write and solve related division facts for given multiplication facts
Addition Card Draw to practice adding three numbers
PATTERNS, FUNCTIONS, AND ALGEBRA
Write number models; for equal groups multiplication stories; for division stories, including remainder notation
Look for patterns in multiplication facts table
GEOMETRY
NONE
MEASUREMENT
NONE
DATA AND CHANCE
Read and record data from a map
Find median, mode, range, maximum, and minimum
Make and analyze line plot; bar graph; frequency table
NPO.1.2 Develop meaning for the operations (e.g., add, subtract, multiply, and divide) by modeling and discussing a variety of problem
NPO 1.4 Solve problems using terminology and symbols of operations (e.g., add, subtract, multiply, and divide).
NPO 1.7 Communicate understanding of number sense, properties, and operations through journal writing, creating problems, constructing mathematical sentences, etc.
NPO 2.2 Apply elementary number theory (skip counting, patterns, number series, odd and even numbers, multiples, fractions, etc.).
NPO 2.4 Use mental math, manipulatives, and technology to solve problems.
PAF.1.2 Describe, extend, and create a wide variety of patterns using concrete models.
PAF.1.6 Use oral and/or written communication to interpret created patterns.
M.1.1 Demonstrate and apply the concept of comparison (large, small, long, short, etc.)
according to a given attribute (color, shape, size, etc.).
M.1.3 Convert from one measurement to another within the same system (feet to yards, centimeters to meters, etc.).
M 2.1 Select and use appropriate standard (inches, feet), nonstandard (paper clip, thumbnail), and metric (centimeter, meter) measuring instruments (e.g., rulers, scales,
measuring tape, yard stick, meter stick, thermometer, etc.).
M 3.1 Estimate and measure quantities such as weight, length, area, volume, money, time, and temperature
M 3.2 Solve problems using measuring instruments and technology.
DSP 1.1 Utilize the scientific method for data analysis.
D. Analyze and interpret data (prediction, inference, conclusion, etc.).
DSP 2.2 Record the results of data collection with a variety of formats that could include charts, graphs, tables, and technology, using oral and/or written communication.
DSP.3.2 Make a true statement based on a simple concept of average (median, mean, mode and range) for a small sample size.