3rd Grade Math
Objective Number / Objective / Vocabulary / Essential Questions / Learning Targets / Writing Prompts / Literature / Resources1.01 / Place Value (through 9,999) / Thousands, hundreds, tens, ones, expanded form, standard form, word form, digit, compose, decompose / *How are place values related to each other?
* How does the position of a digit in a number affect its value? / In your own words define expanded form. /
1.01 / Compare and order numbers / Greater than >, less than <, compare, order, equal to, inequality, equality, estimate, round, nearest, about, approximately, sequence, equivalent / *How do you use place value to determine number order?
*Which place is the most important in determining how to compare and order numbers? / Tell a real-world example of when you would need to compare or order numbers.
1.02 / Adding, subtracting, estimating, rounding, money, fact families / Estimate, round, add, addend, sum, subtract, difference, dollars, cents, penny, nickel, dime, quarter, half-dollar, dollar, reasonable / *Why do we estimate and round numbers?
*How is estimation useful in solving problems?
*What are strategies to make a reasonable estimate?
*What questions can be answered using addition and/or subtraction?
*How can knowing addition and subtraction facts help me? / Write a story problem for addition and/or subtraction. / $1.00 Word Riddle Book
Where the Sidewalk Ends (“Smart” p.35)
Alexander, Who Used to be Rich Last Sunday
1.04 / Properties of Addition and Subtraction / Commutative
Associative
Identity
Parenthesis / *How are parenthesis used in numeric expressions? / Explain how using parenthesis in an addition or subtraction problem can make finding the sum or difference easier.
1.06 / Problem solving with all skills taught in this quarter / Estimate, about,
Approximately, patterns, guess and test/check, make a table/chart/graph
Make a diagram/picture
make an organized list
work backwards
solve a simpler problem
find a pattern
using objects
act out the problem
justify, prove, explain, demonstrate
evaluate, reasonable / *How do I recognize what strategy to use for a specific problem?
*When should you use a calculator when solving problems? / Write a paragraph explaining when you should use each method of computation learned. /
2.01/2.02 / Basic time, calendar, temperature (read thermometer) / Hour, minute, hour hand, minute hand, analog, digital, A.M., P.M., month, year, week, decade, century, degrees, Fahrenheit, Celcius, thermometer, interval, measure, half-past, quarter-past, quarter-to/til, increments / *What do the numbers on a digital and an analog clock mean?
*How do minutes, hours, days, weeks, and years relate to each other? / Write what your classroom does in a day using time. /
4.01 / Graphing (reading and interpreting tallies, line plots, bar and pictographs) / Tally marks, interval, scale, key, bar graph, pictograph, line plot, table, tally chart / *How does the type of data influence the choice of display? / Explain a real-world situation where you might use graphing. /
5.01/5.02 / Geometric patterns / Pattern, extending, growing, rule, pattern unit, sequence / *Can you create a list of real-world examples of repeating/growing patterns?
*What strategies can be used to extend a pattern? / Write out rules for repeating and growing patterns.
5.03/5.04 / Solve for unknown with addition and subtraction / Variable, unknown, value, symbols, numerical expression, equation, / Write a story problems for the following number sentence:
(insert your own number sentence)
Benchmark Assessment 1
Second Nine Weeks
1.02 / Addition and Subtraction with regrouping / Estimate
Commutative
Associative
Identify
Sum
Difference
Addend
Dollar
Cent
About
Approximately / What are efficient methods for finding sums and differences? / I will add numbers with regrouping.
I can use different strategies to add and subtract.
I can subtract numbers with regrouping.
I will estimate when I add and subtract.
I can tell you how adding and subtracting are alike and different. / Write a story problem for addition and subtraction. / Subtraction Action
Addition Action
Pigs Will Be Pigs
Mission Addition
Math Curse /
1.03 / Multiplication / Factor
Multiples
Product
Array
Groups
Sets
Repeated
Addition
Multiply
Skip Count / How many different ways can you solve multiplication problems?
How do we use multiplication in the real world? / I can use models to explore multiplication.
I can use arrays to explore multiplication.
I can use the properties when I multiply.
I can skip count and use repeated addition.
I can identify the factors and product in a multiplication problem.
I can estimate when I find a product.
I can tell you how multiplication and division are alike and different. / Write a multiplication problem using the concept of arrays. / Ox Cart Man
Miss. Rumphius
One Hundred
Hungry Ants
The Doorbell Rang /
1.06 / Problem Solving / Estimate
About
Approximately
Patterns
Reasonable / How can I choose a strategy to solve a problem?
Why should I solve a problem with a pencil and paper?
Why should I solve a problem with a calculator?
When should I estimate to solve a problem? / I can problem solve using mental math.
I can problem solve using a calculator.
I can estimate when I problem solve. I can solve a problem in a variety of ways. / Explain how to best answer this problem or the strategy that you used. / Country Fair
Imogene’s Antlers
Knots on a Counting Rope
Minglo Loves the Mountain
Swimmy
5.01-.04 / Number Patterns and Unknowns / Pattern
Extending
Repeating
Unknown
Symbol
Variable
Equation
Expression
Number
Sentence / What strategies can I use to extend a numeric pattern?
How can I find the missing term in a repeating and/or a growing pattern?
How can I use a symbol to represent an unknown quantity in a number sentence?
What are different ways to find the value of a variable in a number sentence? / I will extend number patterns by adding and subtracting. I can extend number patterns by multiplying. I can determine the best way to extend a number pattern. I can extend and find missing and unknown terms in a variety of number patterns. I can use symbols to represent the unknowns in a number pattern. I can find the value of the unknown in a number sentence. I can solve for the variable in a number sentence. / Describe the rules used to come to your answer. / Eight Hands round: A Patchwork Alphabet
The Patchwork Quilt
3.01 / 2 and 3 dimensional shapes / Angle
Vertex
Face
Surface
Polygon
Quadrilateral
Intersecting
Parallel
Congruent
Symmetric
Shapes
Symmetry
Polyhedrons/3D
Sphere
Symmetry
Polyhedrons/3D
Sphere
Cube
Prism
Cylinder
Cone
Lines
Edge
Plane
Figures/2D
Hexagon
Triangle
Circle
Square
Rectangle
Trapezoid
Parallelogram
Rhombus
Pentagon
Octagon
Flat
Curved
Acute
Obtuse
Right Angle / Does your body have a line of symmetry? Explain.
Where else in your life have you found an example of symmetry? Explain. / I can identify and describe three dimensional shapes.
I can identify and describe two dimensional shapes.
I can compare and contrast two dimensional figures.
I can compare and contrast three dimensional figures.
I can compare and contrast two and three dimensional figures with each other.
I can identify shapes that are congruent.
I can identify the line of symmetry. / Compare and contrast two or more figures using correct vocabulary. / The Greedy Triangle
Grandfather Tang’s Story
A Cloak for Dreamer
Abuela Changes, Changes Flat Stanley
4.01 / Graphing Circle and Table / Line Graph
Circle Graph
Table
Pictograph
Line Plot
Tally
Survey
Venn Diagram / How does the type of data influence the choice of display? / I can interpret data in a bar graph, line plot, or circle graph. / Create a graph showing the growth of a plant. / Pancakes, Pancakes
Strega Nona
How Pizza Came to Queens
Caps for Sale
2.20 / Measurement / Degrees
Fahrenheit
Celsius
Customary
Increasing
Decreasing
Cups
Pints
Quarts
Gallons
Miles
Ounces
Pounds / How do inches, feet, yards, and miles relate to one another?
How do cups, pints, quarts, and gallons relate to one another?
What are the tools of measurement, and how are they used? / I can tell the customary units of length.
I can measure length using inches, feet, yards, and miles.
I can compare or contrast the customary units of length.
I can estimate and measure customary units of capacity.
I can estimate and measure customary units of weight. / Write a paragraph that explains the tools of measurement and how they are used.
Benchmark Assessment 2
Third Nine Weeks
1.03 / Division / Division
Quotient
Divisor
Dividend
1.05 / Fractions / Fraction
Mixed Number
Whole Number
Numerator
Denominator / How can fractions be modeled, compared, and ordered? /
3.01 / 3-dimensional shapes / Face
Edge
Flat Surface / What needs to be done to change the 2-dimensional shape into a 3-dimensional shape? / Compare and contrast two figures.
3.02 / Rectangular Coordinates / Ordered pairs / How is the location of a point on a grid described? /
4.02/4.03 / Permutations and combinations / Probability / How is the probability of an event determined and described? /
1.06 / Problem solving using mental computation, estimation, calculators, or computers, and pencil and paper. /
Benchmark Assessment 3
Third Grade Math Curriculum Map
Fourth QuarterObjective / Vocabulary / Essential Questions / Learning Targets / Writing Prompts / Literature / Resources
1.03: Multiplication/Division Fluency / Factors, multiple, product, array
Division, quotient, divisor, dividend / *How do we use multiplication in the real world?
*How many different ways can you solve multiplication problems? / Write a story problem using multiplication/division.
Explain a time you have or you could have used your knowledge of multiplication or division to solve a real life problem, i.e. plan a party. / Ox Cart Man by Barbara Cooney—decide how many things the man can keep for his family before he sells the rest
Miss Rumphius by Barbara Cooney—how many seeds are there—if there are 3 of each seed in 5 packs then how many in all?
One Hundred Hungry Ants by Elinor J. Pinczes—the ants make arrays to show 100.
Minnie’s Diner by Dayle Ann Dodds—multiplying by 5s
The Grapes of Math by Greg Tang
Grandfather’s Journey by Allen Say
Owl Moon by Jane Yolen (divide the number of hoots by the owls, by the dad, etc for each time they hoot) / Fluency in Operations
- Oswego City School district website created to practice math facts in addition, subtraction, multiplication, and division
-Math baseball practice math facts in addition, subtraction, multiplication, and division
Multiplication
- various resources for exploring and practicing multiplication
- various timed multiplication games
4.02/4.03:Permutations and combinations / Probability
Permutation, combinations, most likely, least likely, certain, impossible / How is the probability of an event determined and described? / sfile/shockwave/games/fish.html
- A selection of answers from the Dr. Math archives dealing with permutations and combinations in several famous handshake problems
1.04: Order of Operations / How are parenthesis used in numeric expressions? / P.E.M.D.A.S
2.01/2.02: Measurement/conversions / Ounces, pounds, tons, grams, kilograms, cups, pints, quarts, gallons, liters, miles, kilometers, inches, feet, yards, decimeter, centimeter, meter / *How do centimeter, decimeter, meter, and kilometer relate to each other?
*How do fluid once, cup, pint, quart, gallon relate to each other?
*What are the tools of measurement and how are they used? / Write a paragraph that explains the tools of measurement and how are they used. / Fly Away Home by Eve Bunting---airport terminals equal in length how many feet/yards/etc, would each terminal be?
Pigs in the Pantry by Amy Axelrod—use measuring cups to show the tools for a recipe and then allow students to use these to “measure” sand/rice/or any other item you see fit. (gallons, cups, pints, quarts)
Inch By Inch by Leo Lionni
1.06: Problem solving using mental computation, estimation, calculators or computers, and paper and pencil. / *What questions can be answered using multiplication and division? / Explain the steps in solving a multi-step problem. /
EOG Test Prep / Vocabulary SWAT: Could be used to make math bingo or a SWAT game (place the card with the four words in front of students. Call out the definition. Student swats the correct vocabulary word with a fly swatter.) / *How can I use all the knowledge gained during the year to prepare for the EOGs? / EOG sample questions
DPI Released EOG 2008-2009
Website with EOG test items, games (Wheel of Fortune, Millionaire, Deal or No Deal)
Fun games for review across several number strands
Math Carnival ideas
An idea: Have students who have passed the EOG create the math carnival games. Students who are being remediated could visit the carnival games before they retest.
Calculator Activities
Scroll down and the site gives calculator activities that support learning.
Numerous Websites to Review Concepts