What Strategies for Multiplying and Dividing Do I Know and Use?

Curriculum Map Math – Fourth Grade

Essential Questions

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§  What strategies for multiplying and dividing do I know and use?

§  How are multiplication and division the same and how are they different?
§  What are fractions?
§  How do I compute multi-digit addition, subtraction, multiplication, and division problems? / ·  How can I describe and extend numerical patterns?
·  How can signs be applied to complete equations?
·  What mathematical properties do I know? / ·  How do I which strategy to apply to solve a problem? / ·  How do I know which strategy to apply to solve a problem? / ·  What kind of information is best displayed on the different kinds of graphs?
·  How do I know which type of graph to use with a data I have collected? / ·  What is the relationship between area, perimeter, and volume??
Content / Numbers and Operations
-  Comparing/Ordering Numbers
-  Number Identification
-  Computation
Addition
Subtraction
Multiplication
Division
-  Place Value
-  Fractions
-  Estimation
-  Decimals / Algebraic Thinking
-  Patterns and Sequences
-  Mathematical Relationships /

Problem Solving

/ Measurement
-  Time
-  Money
-  Calendar
-  Systems of Measurement / Data Analysis and Probability
-  Graphing/Data
-  Statistics / Geometry and Spatial Sense
-  Geometry
-  Spatial Sense
Skills / Comparing/Ordering Numbers
üü Compares and orders numbers 0-10,000
ü  Compares and orders numbers 0-1,000,000

Number Identification

üü Identifies, reads, and writes numbers to 100,000
ü  Identifies, reads, and writes numbers to 1,000,000
Computation
Addition
üü Adds four-digit numbers with regrouping
ü  Demonstrates automaticity with basic addition facts to 18 (R)
ü  Adds six-digit numbers with regrouping
Computation
Subtraction

üü Subtracts five-digit numbers with regrouping

ü  Demonstrates automaticity with basic subtraction facts to 18 (R)

ü  Subtracts six-digit numbers with regrouping

Computation
Multiplication
üü Demonstrates automaticity with multiplication facts through 10x10
üü Multiplies a two-digit by two-digit number
ü  Multiplies a three-digit number by a two-digit number
Computation
Division
üü Divides a three-digit number by a one-digit number
ü  Demonstrates automaticity with division facts through 9
ü  Explains relationship of multiplication and division

Place Value

üü Identifies place value to 100,000
üü Applies rounding to the greatest place value
ü  Identifies place value of numbers to 1,000,000
ü  Expresses numbers in standard, word, and expanded form

Fractions

üü Adds and subtracts mixed numbers with like fractions (no regrouping)
üü Adds and subtracts like fractions (no regrouping)
üü Compares and orders like fractions and mixed numbers with like fractions
ü  Simplifies fractions
ü  Identifies 1/2, 1/3, 1/4 , 1/5, 1/6, 1/8, and 1/12 fractional parts of a region and group (R)
ü  Models fractional parts of a region and group for 1/4, 1/3, 1/2, 1/5, 1/6, 1/8, and 1/12 (R)

Estimation

ü  Applies rounding to make estimations using all four operations
ü  Estimates quantities of objects to 1,000 (R)

Decimals

üü Reads and writes decimals to the hundredths place
ü  Explains the relationship between fractions and decimals
ü  Compares and orders decimals to the hundredths place /

Patterns and Sequences

üü Completes numerical patterns
ü  Skip counts by 25’s to 100 (R)

Mathematical Relationships

üü Applies correct operation to complete an equation: x, +, -
ü  Uses symbols to construct number sentences: <, >, =, ( )
ü  Solves open equations using algebraic symbols: <,>,=, ( )
ü  Recognizes the role of parentheses in the order of operations
ü  Identifies and applies the associative, identity, communicative, distributive, and zero properties to compute whole numbers / ü  Uses a variety of appropriate strategies to solve problems
-  Uses manipulatives
-  Draws a picture
-  Creates a pattern
-  Sorts information
-  Classifies information
-  Writes a number sentence
-  Makes a table or graph
-  Creates a model
-  Guess and check (R)
ü  Uses a variety of appropriate strategies to solve problems
-  Works backwards
-  Makes a list
ü  Determines the information needed to solve word problems (R)
ü  Explains in writing how a problem is solved (R)
ü  Applies the appropriate operation, addition, subtraction, multiplication, or division, to solve single or multi-step word problems
ü  Evaluates answer for accuracy
ü  Uses appropriate labels /

Time

üü Tells time before and after
the hour (R)
üü Differentiates between AM
and PM (R)
üü Tells time to the minute (R)
üü Calculates elapsed time to
the minute

Money

üü Counts combinations of coins and bills up to $100
üü Determines fewest coins and bills to make a specified amount
üü Computes correct change
üü Counts back correct change
üü Places decimals correctly to multiply or divide money
ü  Places decimals correctly to add or subtract money (R)
ü  Compares and orders money to a specified amount

ü  Estimates amounts of

money

Calendar

üü Figures elapsed time using a calendar in days, weeks, and months

Systems of Measurement

üü Chooses appropriate unit of measure: inch, foot, and yard
üü Chooses appropriate unit of measure: cups, pints, quarts, and gallons
üü Chooses appropriate unit of measure: pounds and ounces
ü  Converts measurements: inches to feet and feet to yards
ü  Uses a ruler to measure to the nearest half inch (R)
ü  Uses a ruler to measure to the nearest quarter/ ¼ inch / Graphing/Data
ü  Makes and reads bar, picture, real, line, and pictographs (R)

Statistics

üü Analyzes line graphs, pictographs, bar graphs, and circle graphs to gain information
ü  Summarizes information from graphs and tables
ü  Uses tables and graphs to identify trends, understand relationships, and draw conclusions /

Geometry

üü Calculates and labels perimeter of dimensioned polygons
ü  Calculates and labels area of rectangles
ü  Calculates and labels the volume of a three-dimensional rectangular prism

Spatial Sense

üü Recognizes congruence and similarity of plane figures
ü  Identifies transformation of shapes
ü  Recognizes acute, obtuse, and right angles
Assessments /

Computation

·  Timed tests / ·  District Problem Solving Assessment - secured (Money for the Mall) / ·  District Problem Solving Assessment – secured (Money for the Mall) / Measurement
·  Ch.17 Measurement: Customary Units

Time

·  Observations
·  Ch.5 Time and Data

Money

·  District Problem Solving Assessment (Money for the Mall)
·  Ch.2 Numbers and Money / ·  6.1 – 6.7 Use daily practice workbook
·  6.1 – 6.7 Use Re-teach, enrichment and leveled problem solving to meet student needs
·  Chapter 6 test – Form A – multiple choice, Form B – fill in the blank
·  Constructs a graph
·  Ch.6 Graphs

Daily Practice & Reteach

·  6.1 Pictographs
·  6.2 Bar Graphs
·  6.3 Problem Solving Strategies
·  6.4 Coordinate Graphing
·  6.5 Explore Making Line Graphs
·  6.6 Interpreting Line Graphs
·  6.7 Choose The Best Graph / ·  Practice sheet 20.4
·  Practice sheet 20.6
·  Ch.19 Space and Plane Figures
·  Ch.20 Geometry

Daily Practice

·  20.4 Perimeter
·  20.6 Algebra: Area
Vocabulary /

Number Concepts

estimate, place value, standard form, expanded form, round

Fractions, Ratios, Percents, Proportions and Rational Numbers

fraction, numerator, denominator, mixed number

Computation

fact family, sum, addend, equation, difference, factor, product, zero property, identify property, associate property, communicative property, multiple, division, quotient, dividend, divisor, inverse operations /

variable, order of operations

/ decimal point, cents sign, dollar sign, round, greater than, less than, digit, bills, coins, change, about / interpret, labels, title, ratio, line graph, pictograph, bar graph, circle graph, data, plot, survey, scale, axis, coordinate, grid, analyze / volume, cubic units, area, square feet, square units, perimeter, congruent, similar, translation, reflection, rotation, line of symmetry, bilateral symmetry, polygons, vertex, prism
Activities /

Number Concepts

·  Make 1,000 cube
·  Place value games
·  Leveled Problem Solving
·  Foldables
·  Base 10 blocks
·  Problem of the Day
·  Quick check
·  Rounding games
·  Make the biggest/smallest number
·  Expanded form/standard form/written form matching game
·  Student line- ordering numbers
·  Dice games
Fractions, Ratios, Percents, Proportions and Rational Numbers
·  CD-ROM – Math Traveler, Math Tool Chest
·  Chapters 21, 23, & 24
·  Use manipulatives to represent fractions
·  Problem of the Day
·  Paper folding activity
·  Hersheys Fraction Book
·  Real life application (M&M, Skittles)

Computation

· Time test activities
· Silent ball
· Candy box multiplication (Marilyn Burns activity)
· Divide and Ride
· The Doorbell Rang
· Bunches and Bunches of Bunnies
· Remainder of One
· Christmas list- adding to $100
· Book order- adding total
· Circle and Stars
· Bugs Book
· How long/how many / ·  The 24 cards (Jane S)
·  Textbook
·  Missing digit activities
3 o 6
+ o 6 4
7 1 o / ·  Problem of the Day (whole group, partners, individual)
·  Leveled Problem Solving Book
·  Math journal
·  Teach (read, plan, solve, look back, problem solving steps)
·  Writing in math (Macmillan/McGraw-Hill) /

Measurement

·  Practice workbook, reteach, enrich, and leveled problem solving for Ch. 17
·  Measurement of real objects
·  Gallon Man visual aid (see Amy Dahlke)
·  Teacher made practice
·  Make a Drink
·  Measure Me (calculator tape)
·  Pints a pound the world around
·  Birth weight activity

Time

·  Clock
-  Reading schedules and story problems (charts)
-  Reteach and enrichment pages
-  Game Zone page 101

·  Calendar

-  Leveled Problem Solving 5.2 & 5.3
-  Math at Home Family Guide pg 15
-  Reteach 5.3
-  Practice 5.3
-  Enrich 5.3

Money

·  Layered look books (TE 19)
·  Count your change (TE 23)
·  Counting quarters, “25, 50, 75, a dollar; all for the Hawks let out a holler”
·  Trip to the bank
·  Dramatic play – to the bank/store
·  Checkbook
·  Game Zone page 23 – money math / ·  6.1 – Pictograph – using a key pp. 118-119
·  6.2 – Bar graphs – using a scale pp. 120-122
·  6.3 – Venn diagram – pp. 124-125
·  6.4 – Coordinate graphing – using ordered pairs pp. 126-127
·  6.5 – Line graphs – pp. 128-129
·  6.6 – Interpret line graphs - pp. 130-131
·  6.7 – Choose the best graph – pp. 132-133 – Determine type of data and how to analyze (intro to circle graph)
·  Math at Home Family Guide pp. 16-17 / ·  Game Zone p. 463
·  Math at Home Family Guide p. 56
·  Foldable p. 429
·  Find area and perimeter of given objects
·  Use house plans to find area of rooms
·  Chapter 20 (area)
·  Calculate area and perimeter of yard
·  20.4 – Finding the missing side (pg. 468 #14-16)
·  20.6 – Calculating area (pp.474 – 476)
Resources /

Number Concepts

·  Problem of the day flip chart
·  Dice
·  Workbooks
·  Number cards
·  Re-teach and enrichment sheets
·  Assessment book
·  ITBS test prep
·  Base 10 blocks
·  Leveled problem solving book
·  Games
Fractions, Ratios, Percents, Proportions and Rational Numbers
·  Text book
·  Teacher resource materials
·  Fraction strips/pies/stacks (manipulatives)
·  Hershey Fraction Book
·  Bags of snack size Skittles and/or M&Ms

Computation

·  Math series
·  Flash cards to work on facts
·  Timed tests
·  Book orders
·  Catalog
·  Trade books: Bunches of Bunnies, Remainder of One, The Doorbell Rang, Math by All Means (Marilyn Burns)- Multiplication and Division / ·  Math series materials / ·  Macmillan/McGraw-Hill math series (text, Leveled Problem Solving, ESL book)
·  Introduction to Problem Solving
·  Math Exemplars /

Measurement

·  Textbook
·  Scales
·  Measuring tape
·  Yardsticks
·  Ruler

Time

·  Clock
-  Judy Clock
-  Mini-clocks
-  Schedules
-  Textbook
-  Resource manuals

-  Calendar

-  MacMillan/McGraw – Hill
-  Math Series

Money

·  Teacher’s Edition (Math, grade 4) Macmillan/McGraw-Hill
·  Practice workbooks
·  Resource packet / ·  Vol. 1 – Macmillan/ McGraw-Hill Math series / ·  Macmillan/McGraw-Hill
·  Ruler or yardstick
·  Graph paper
·  Dot paper (teacher resources folder)