M ATHEMATICS C URRICULUM M AP
Fifth Grade
2010
Table of Contents
Overview:
I.
II.
III.
IV.
V.
Best Practices
Assessment
Fifth Grade Vocabulary
Timeline
Important ISAT Concepts
Units by Standard:
Unit 1: Multiply Whole Numbers
Unit 2: Divide Whole Numbers
Unit 3: Algebra Expressions and Equations
Unit 4: Decimals Overview
Unit 5: Add and Subtract Decimals
Unit 6: Multiplying Decimals
Unit 7: Divide Decimals by Whole Numbers
Unit 8: Fraction Concepts
Unit 9: Add and Subtract Fractions
Unit 10: Add or Subtract Mixed Numbers
Unit 11: Multiply Fractions
Unit 12: Divide Fractions
Unit 13: Ratio, Percents, and Probability
Unit 14: Geometric Figures
Unit 15: Plane and Solid Figures
Unit 16: Perimeter
Unit 17: Area
Unit 18: Volume
Unit 19: Number Concepts
Unit 20: Data Grouping
Unit 21: Customary and Metric Measurements
Unit 22: Graph and Integers
Unit 23: Coordinate Plane and Order Pairs
Unit 24: Patterns
* The asterisk next to a document represents an adapted document.
Best Practices
Small Group
Modeling
Guided Practice
Independent Practice
Plans and teaches lessons to support full implementation of mathematics core
standards.
Establishes physical classroom environment to support mathematics learning
Establishes classroom climate or culture focused on student‐centered learning
Supports mathematical communication (student’s ability to explain mathematical
process)
Common Math vocabulary
Uses assessment to support student learning and to guide planning.
Relating Concepts to real life situations
Incorporate word problems within units
Use concrete examples and have students draw representations of concepts
* The asterisk next to a document represents an adapted document.
Assessment
Core Practice- Independent Wrkst.
Activities- Showing understanding
Quizzes
Pre- Post Test
Common Assessment
Observations
MAP Assessment
ISAT Assessment
* The asterisk next to a document represents an adapted document.
Fifth Grade Vocabulary
Abbreviations
Acute
Angle
Approximately
Approx. Equal to ( ≈)
Arc
Arithmetic
Average
Base
Bisect
Characteristic
Chord
Circle
Circumference
Column
Combination
Compare
Composite Number
Congruent Symbols
Coordinate Graph
Correspond
Cubic Units
Data
Decimeter
Degrees (C) (F)
Diagonals
Diagram
Difference
Digits
Dimensions
Dividend
Divisor
Elapsed Time
Equilateral Triangle
Estimate
Exact
Expression
Factors
Gallon
Greatest Common Factor
Half
Heptagon
Intersect
Intersecting Lines
Irregular Polygon
Isosceles Triangle
Least Common Multiple
Liter (l)
Lowest Terms
Mean (Average)
Median
Midpoint
Miles Per Hour (MPH)
Mode
Multiple
Multiplication (x or •)
Nonagon
Nth Term (exponents)
Numeral
Numerical
Obtuse Angle
Order of Operations
Parallelogram
Per
Percent (%)
Perpendicular (symbol)
Pint (pt)
Polygon
Proportion
Product
Quadrilateral
Quart (qt)
Quotient
Range
Ratio
Reflection
Right Angle (symbol)
Rotation
Round
Row
Scale Drawing
Scalene Triangle
Sequence
Slides
Square Units
Stem-and-leaf plot
Ton (t)
Triangle
* The asterisk next to a document represents an adapted document.
Fifth Grade- Concepts
4.NBT.1
4.OA.2
4.OA.3
4.NBT.1
Unit
Review
CCS
Title
Number Computations
Skill(s)
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
7.
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
5.NBT.1
5.NBT.2
5.NBT.5
5.NF.5A
1
Multiply Whole Numbers
5.NBT.2
5.NBT.6
2
Divide Whole Numbers
5.OA.1
5.OA.2
3
Algebra Expressions and
Equations
4
Decimals Overview
ISAT
CONCEPT
5.NBT.3
Duration
1. Rounding
2. Estimation
Place Value
Patterns in Place Value
Place Value with Expanded Form
Estimate Products
Multiply by 10’s and 100’s
Find Patterns
Choose correct methods
Comparing Factors
Estimate with 1-Digit Divisors
Divide by 1-Digit Divisors
Write the remainder as a Mixed Number
Zeros in Division
Patterns in Division
Estimate with 2-Digit Divisors
Divide by 2-Digit Divisors
Order of Operations
Write Expressions
Evaluate Expressions
Properties
Write Equations
Solve Equations- Missing Numbers- Variables
Functions
Inequalities
Decimal Place Value
Verbal, Written, and Numerical Representation
Create Models/Drawing to represent place value
Equivalent Decimals
Compare and Order Decimals
Predict and Draw Conclusions
* The asterisk next to a document represents an adapted document.
5.NBT.3
5.NBT.4
5
Add and Subtract
Decimals
5.NBT.7
6
Multiplying Decimals
7
Divide Decimals by Whole 1. Divide Decimals
2. Estimate Quotients
Numbers
ISAT
CONCEPT
5.NBT.7
ISAT
CONCEPT
5.NF.1
5.NF.2
8
Fraction Concepts
9
Add and Subtract
Fractions
ISAT
CONCEPT
5.NF.1
5.NF.2
5.NF.1
5.NF.2
10
Add or Subtract Mixed
Numbers
1.
2.
3.
1.
2.
3.
4.
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
1.
2.
3.
4.
5.
Round Decimals
Add and Subtract Decimals
Estimate Sums and Differences
Multiply Decimals
Estimate Products
Divide Decimals with Whole Numbers
Evaluate Answers for reasonableness
Understand Fractions
Equivalent Fractions
Simplest Form
Understand Mixed Numbers
Improper Fractions
Compare and Order Fractions
Compare and Order Mixed Numbers
Relate Fractions to Decimals
Add and Subtract Like Fractions
Model Addition of Unlike Fractions
Model Subtraction of Unlike Fractions
Estimate Sums and Differences of Fractions
Add and Subtract Unlike Fractions- Common
Denominators
Compare Strategies
Model Addition of Mixed Numbers
Model Subtraction of Mixed Numbers
Estimate Sums and Differences of Mixed
Numbers
Add and Subtract Mixed Numbers
Subtraction with Renaming
* The asterisk next to a document represents an adapted document.
5.NF.4a
5.NF.5b
5.NF.6
11
Multiply Fractions
5.NF.3
5.NF.7a
5.NF.7b
5.NF.7c
12
Divide Fractions
1.
2.
3.
4.
1.
2.
3.
4.
5.
ISAT
CONCEPT
13
Ratio, Percents, and
Probability
1.
2.
3.
4.
5.
6.
5.G.3
5.G.4
14
Geometric Figures
15
Plane and Solid Figures
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
ISAT
CONCEPT
5.G.3
5.G.4
ISAT
CONCEPT
Model Multiplication of Fractions
Multiplication of Fractions
Multiplication of Fractions and Whole Numbers
Multiply with Mixed Numbers
Model Fraction Division
Write Remainders as Mixed Numbers
Divide Whole Numbers by Fractions
Divide Fractions by Whole Numbers
Divide Fractions
Understand and Express Ratios
Ratios and Rates
Understand Percents
Percents (relate to fractions and decimals)
Understand Probability
Understand Predictions of Probability
(likeliness)
Points, Lines, and Angles
Measure and Draw Angles
Polygons
Compare Relationships of Polygons
Circles
Congruent and Similar Figures
Symmetry
Diagonals of Polygons
Classifying Triangles
Classifying Quadrilaterals (2D)
Draw and Model Quadrilaterals and Triangles
Solid Figures (3D)
Nets of Solid Figures
Vertices, Faces, Edges
* The asterisk next to a document represents an adapted document.
ISAT
CONCEPT
16
Perimeter
1.
2.
3.
4.
5.
6.
5.NF.4b
5.NF.5a
5.NF.6
17
Area
5.MD.3a
5.MD.3b
5.MD.4
5.MD.5a
5.MD.5b
5.MD.5c
18
Volume
1. Model Multiplication of Area
2. Area of Square and Rectangles using square
units
3. Area of Square and Rectangles using formula
4. Compare Perimeter to Area
5. Area of Triangles
6. Area of Parallelograms
7. Estimate Area
8. Relate and Compare Perimeter, Volume, Area
1. Model Multiplication of Volume
2. Find Volume Using square units
3. Solve Volume as Multiplication and Addition
4. Estimate Volume
5. Compare Volume
6. Volume as the Associative Property
7. Relate and Compare Perimeter, Volume, Area
ISAT
CONCEPT
19
Number Concepts
ISAT
CONCEPT
20
Data Grouping
ISAT
CONCEPT
1.
2.
3.
4.
5.
6.
7.
1.
2.
Find Perimeter
Perimeter Formulas
Estimate and Measure Perimeter
Circumference
Polygon Sides
Compare Perimeters
Multiples and Least Common Multiples
Divisibility
Factors and Greatest Common Factors
Prime and Composite Numbers
Understand Exponents
Exponents and Square Numbers
Prime Factorization
Mean, Median, Mode, and Range
Compare the data and Concepts of the mean,
median, mode, and range.
* The asterisk next to a document represents an adapted document.
21
Customary and Metric
Measurements
22
Graphs and Integers
5.MD.2
5.G.1
5.G.2
23
Coordinate Planes and
Ordered Pairs
5.OA.3
24
Patterns
5.MD.1
ISAT
CONCEPT
5.OA.3
5.MD.2
5.G.1
5.G.2
ISAT
CONCEPT
ISAT
CONCEPT
1.
2.
3.
4.
5.
6.
7.
1.
2.
3.
4.
5.
6.
7.
8.
9.
1.
2.
3.
4.
1.
2.
3.
4.
5.
6.
Customary Lengths
Metric Lengths
Customary Capacity and Weight
Metric Capacity and Mass
Estimate or Actual Measurement
Elapsed Time
Temperature
Make Bar Graphs and Pictographs
Make Histograms
Make Circle Graphs
Make a Stem-and-Leaf Graph
Make Line Graphs
Understand integers
Compare and Order Integers
Choose the Appropriate Graph
Relationships of Graphs
Create a Coordinate Plane
Graph Ordered Pairs
Graph Relationships
Graph Integers on Coordinate Plane
Transformations
Tessellations
Create a Geometric Pattern
Numeric Patterns
Find a Pattern
Input/ Output- Rules/Sequencing /X- and YCharts
* The asterisk next to a document represents an adapted document.
Review: Number Computations
Approximate Duration of Study: 1 - 2 weeks
CCS
Supports
4.NBT.1
Supports
4.OA.2
4.OA.3
Essential
Question
How do we round
numbers?
How does
rounding vary
depending on the
place value that is
being rounded to?
How do we
estimate an
answer?
Concepts
Rounding
Estimation
Skills
Round two and three digit
numbers to the tens place value.
Round two and three digit
numbers to the hundreds place
value.
Round two and three digit
numbers to the thousands place
value.
Estimate the sum.
Estimate the difference.
Estimate the product.
Estimate the quotient.
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
SMART Notebook- Rounding
BrainPOP- Rounding
SMART Notebook- Estimation
SMART Notebook- Estimation Quiz
Template
BrainPOP- Estimation
Vocabulary: Rounding, Estimation, Place Value, Expanded Form, Powers of Ten, Product, Quotient, Sum and Difference.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 1: Multiply Whole Numbers
CCS
Supports
5.NBT.1
5.NBT.2
5.NBT.1
4.NBT.1
5.NBT.2
5.NBT.5
Essential
Question
How do we
determine the place
value of a number?
Concept
How do we compare
relationships
between place
values?
Place Value
Patterns
How do I
demonstrate the
patterns between
numbers, quantities
and place value using
the power of ten?
How can we use the
concept of
Place Value
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Determine the place value of any
given whole digit number
through the billions.
Relationship of digits in a multi-digit
number
The ones place is ten times as much
as the place value to the right.
Expanded Form
Separate any given whole
number by place value using
powers of tens.
e.g. 5,678
(5x1,000)+(6x100)+(7x10)+(8x1)
Multiplying by
Explain the patterns of zeros in
Power of Ten
whole numbers.
(Patterns)
Explain the patterns of the
placement of decimal points
Whole Number
Multiplying
Solve two digit multiplication.
Solve three digit multiplication.
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
Literature:
Amanda Beans Amazing Dream
How Much is a Million?
Hershey’s Milk Chocolate
Multiplication Book
Anno Mysterious Multiplying Jar
The Grapes of Math
Master Pieces Math Fables
Math Curse
Math for all Seasons
Six Sick Sheep
If you Made a Million
Manipulative:
Money
Place Value Flip Charts
SMART Notebook- Place Value
SMART Notebook- Multiplying by Tens
SMART Notebook- Multiplying by Tens
GAME
Manipulative:
Base Ten
SMART Notebook- Two and Three Digit
Multiplication
* The asterisk next to a document represents an adapted document.
1 of 2
SMART Notebook- Two Digit
Multiplication- Lattice Method
SMART Notebook- Two Digit
Multiplication
multiplication to
solve problems?
5.NF.5a
How can we interpret Comparing
multiplication as
Factors
scaling (resizing)?
Evaluate the factors to estimate the
product (size), without multiplying
SMART Notebook- Estimate/Comparing
Product Lesson/Activity
Manipulative:
Scale
Vocabulary: Round, Compare, Digit, Expanded Form, and Place Value. Billion, Period, Estimate, Millions, Product, Difference, Sum, Distributive
Property, and Multiple.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 2: Divide Whole Numbers
CCS
5.NBT.
2
5.NBT.
6
Essential
Question
How do I demonstrate the
patterns between
numbers, quantities and
place value using the
power of ten?
Concept
How does division relate
to placing everyday items
into groups?
Whole
Number
Division
Dividing by
Power of
Ten
(zeros)
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Explain the patterns of the zeros in
whole numbers.
Explain the placement of decimal
points
Find whole number quotients with
four digit dividends and two digit
divisors.
Use place value to solve division
problems.
Use properties of operation to solve
division problems.
Use relationships of multiplication and
division to solve division problems
Follow the steps of division a write the
remainder as the numerator and the
divisor is the denominator.
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
SMART Notebook- Explanation of Division
Riddle:
Does McDonald’s Serve Burgers?
(Divide, Multiply, Subtract, Bring Down)
Manipulatives:
Money
Red/Yellow Discs
SMART Notebook- Long Division Game
BrainPOP- Long Division
How do we write a
Writing the
remainder as mixed
remainder
number without the “r”
as a mixed
symbol to represent the
number
remainder?
How do we estimate the
Estimate
Estimate the quotient of a given
quotient?
division problem.
Vocabulary: Estimate, Dividend, Divisor, Quotient, Mixed Number, and Remainder.
* The asterisk next to a document represents an adapted document.
Unit 3: Algebra Expressions and Equations
CCS
5.OA.1
Essential
Question
How do we apply
numerical
expressions?
5.OA.2
Supports
5.OA.1
5.OA.2
Concept
Evaluate
Expressions
Written
Expressions
How do you write an
equation?
How do you solve
equations for missing
numbers?
Parentheses
Braces
Brackets
Write numerical expressions in
words
“add 8 and 7, then multiply by 2”
Write a written numerical
expression in numbers.
“2 x (8+7)”
Interpret
Expression
Understand an expression without
evaluating.
Write
equations
Solve a story problem by writing an
equation.
Create an equation from a set a data
(numbers or written).
Solve
Equations
with
Missing
Numbers
(Variables)
Solve for a missing number in
addition.
Solve for a missing number in
subtraction.
Solve for a missing number in
multiplication.
Solve for a missing number in
division.
How do you
determine the
important information
within a problem to
create an equation?
ISAT
CONCEPT
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
SMART Notebook- Order of Operations
SMART Notebook- Parentheses
BrainPOP- Order of Operations
Manipulative:
Order of Operations
Literature:
Anno’s Magic Seeds
BrainPop- Equations w/Variables
SMART Notebook- Variables
SMART Notebook- Expressions and
Variables
1 of 2
* The asterisk next to a document represents an adapted document.
ISAT
CONCEPT
How do you insert an
Functions
Given an algebraic expression with a
amount of a variable
variable, insert the variable amount
to solve the equation?
to solve the equation.
How do you compare
Inequalities
Compare whole numbers using the
numbers using the
greater than, less than, and equal
appropriate inequality
signs.
symbol?
Vocabulary: Parentheses, Braces, Brackets, Numeral, Expression, Equation, Evaluate, Function, Variable, Inequality, Order of Operations,
and Solution.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 4: Decimals Overview
CCS
Essential
Question
How do we
represent
decimals?
Concept
Skills
Approximate Duration of Study: 1 ½ weeks
Assessments
Helpful Strategies and Resources
SMART Notebook- Reading Decimals to the Tenths
Pretest
Name numbers in digit
SMART Notebook- Introduction to Decimals
Pretest*
form to the thousandths
SMART Notebook- Decimal Place Value
Posttest
place
BrainPOP- Decimals
Posttest*
Read numbers to the
Literature:
Quiz
thousandths place in
Two Ways to Count to Ten
Quiz *
words
Piece = Part = Portion
Write numbers to the
thousandths place in
words
Write numbers in words
in expanded form
Interpret verbal
representation into
written form
Equivalent
Create equivalent
decimals
decimals by attaching
zeros in place values to
the left of the final
decimal digit.
Compare
BrainPOP-Decimals
Compare two digit
Decimals
decimals to the
thousandths place
Order Decimals
Compare decimals and
order them from least to
greatest and/or greatest
to least.
Vocabulary: Decimal, Equivalent, Hundredth, Tenth, Thousandth, Digit, Round, and Expanded Form.
5.NBT.3
Representation
of Decimals
Timeline
* The asterisk next to a document represents an adapted document.
Unit 5: Add and Subtract Decimals
CCS
Essential
Question
How do we
add and
subtract
decimals?
Concept
How do we
determine
where the
decimal point
goes?
Subtract
Decimals
5.NBT.4
How do we
round
decimals?
Rounding
Decimals
5.NBT.7
How do we
multiply
decimals?
Representing
Decimals
5.NBT.7
Add Decimals
Approximate Duration of Study:1 – 1 ½ weeks
Skills
Assessments
Align the decimal points to add decimals.
Insert zero the left of the final decimal
digit to hole place value if needed
(understand adding zeros does not change
the value of the decimal number).
Align the decimal points to subtract
decimals.
Subtraction rules apply, make sure the
largest decimal value is on top.
Insert zero the left of the final decimal
digit to hole place value if needed
(understand adding zeros does not change
the value of the decimal number).
Borrowing rules of subtraction still apply
when subtracting decimals.
Round decimals to all places
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Rounding Decimals
Using all operations to the hundredths
create models, drawings, and strategies
using place value.
Using all operations to the hundredths use
How do we
the properties of operations to solve.
know where
Using all operations to the hundredths
to put the
show relationships between addition and
decimal
subtraction.
point?
Using all above strategies develop a
written method and explain using
reasoning.
Vocabulary: Compare, Decimal, Decimal Point, Equivalent Decimals, Expanded Form, Hundredth, Round, Tenth, and Thousandth.
* The asterisk next to a document represents an adapted document.
Timeline
Unit 6: Multiplying Decimals
Approximate Duration of Study: 1 - 1 ½ weeks
CCS
5.NBT.7
Essential
Question
Where is the
decimal point
inserted in the
product?
ISAT
CONCEPT
Supports
5.NBT.7
Concept
Multiplying
Decimals
Skills
Solve for the product of
decimal numbers following
the same rules of
multiplication of whole
numbers.
Understand that the decimal
point in the product is
determined by the total
number of decimal place
values in both addends.
Estimate the product of
decimals in any given
multiplication problem.
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
How can you
Estimate
use estimate to
get an
approximate
product?
Vocabulary: Decimal, Decimal Point, Equivalent Decimals, Expanded Form, Hundredth, Product, Round, Tenth, and Thousandth.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 7: Divide Decimals by Whole Numbers
Approximate Duration of Study: 1 - 1 ½ weeks
CCS
5.NBT.7
Essential
Question
How do we
divide decimals?
Concept
Representing
Decimals
How do we
know where to
put the decimal
point?
Divide
Decimals by
Whole
Numbers
ISAT
CONCEPT
Supports
5.NBT.7
Skills
Assessments
Using all operations to the hundredths
create models, drawings, and strategies
using place value.
Using all operations to the hundredths
use the properties of operations to solve.
Using all operations to the hundredths
show relationships between addition and
subtraction.
Using all above strategies develop a
written method and explain using
reasoning.
Solve for the quotient of decimal
numbers following the same rules of
division of whole numbers.
Understand that the decimal is aligned
vertically in the answer to the dividend in
the division problem.
Estimate the quotient of decimals in any
given division problem.
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
How can you
Estimate
use estimate to
get an
approximate
product?
Vocabulary: Decimal, Decimal Point, Equivalent Decimals, Expanded Form, Hundredth, Quotient, Round, Tenth, and Thousandth.
* The asterisk next to a document represents an adapted document.
Unit 8: Fraction Concepts
CCS
Essential Question
ISAT
How do we identify the
CONCEPT parts of a fraction?
Supports
5.NF.1
5.NF.2
Concept
Fraction
Properties
How do we use
equivalent fractions?
How do we change a
fraction to be
equivalent?
How do you convert
an improper fraction
into a mixed
number?
How do we simplify
fractions?
How do we use
simplified and reduced
fractions?
How do we use
pictures to compare
fractions/mixed
numbers?
How do we order
fractions/mixed
numbers?
Equivalent
Fractions
Improper
Fractions
Simplify/
Reduce
Fractions
Compare
Fractions
Order
Fractions
Approximate Duration of Study: 2 – 2 ½ weeks
Skills
Assessments
Pretest
Identify the numerator as the top
Pretest*
number in a fraction.
Posttest
Identify the denominator as the
Posttest*
bottom number in a fraction.
Identify the parts of a mixed number Quiz
Quiz *
(whole number and fraction).
Create a fraction that is equal to a
given fraction.
Understand an improper fraction has
a larger numerator than
denominator.
Convert an improper fraction to a
mixed number using long division.
Use division to reduce fractions.
Use fractions that are equivalent to
one to simplify.
Helpful Strategies and Resources
BrainPOP-Converting Fractions to
Decimals
Literature:
Piece = Part = Portion
The Hershey’s Chocolate Fraction
Book
Fraction Action
BrainPOP-Reducing Fractions
Lesson:
Reducing Fractions
Solve using pictures to determine the
appropriate equality sign.
Solve using a number line to
determine the appropriate equality
sign.
Solve using pictures to determine the
appropriate order from least to
greatest and greatest to least.
Solve using a number line to
determine the appropriate order
1 of 2
* The asterisk next to a document represents an adapted document.
from least to greatest and greatest to
least.
Compare
Solve using pictures to determine the
Mixed
appropriate equality sign.
Numbers
Solve using a number line to
determine the appropriate equality
sign.
Order Mixed
Solve using pictures to determine the
Numbers
appropriate order from least to
greatest and greatest to least.
Solve using a number line to
determine the appropriate order
from least to greatest and greatest to
least.
Vocabulary: Numerator, Denominator, Mixed Numbers, Greatest, Least, Equality Signs
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 9: Add and Subtract Fractions
Approximate Duration of Study: 1 ½ - 2 weeks
CCS
5.NF.1
5.NF.2
Essential
Question
How do we convert
fractions to common
denominators?
How do we use fraction
conversions in our daily
life (cooking, slices,
etc.)?
How can we
demonstrate fractions
through story
problems?
Concept
Skills
Unlike
Denominators
(changing to
common
denominators)
Solve for the sum of two
fractions with unlike
denominators.
Solve for the difference of
two fractions with unlike
denominators.
Story Problems
(Addition/
Subtraction
Common
Denominators)
Use fraction models to
represent the problem.
Use equations to represent
the problem.
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Games:Adding Fractions
BrainPOP-Adding and Subtractions
Fractions
Estimate mentally using
benchmark fractions and
number sense to assess the
reasonableness of an answer.
Story Problems
Use fraction models to
represent the problem.
Use equations to represent
the problem.
(Addition/
Estimate mentally using
Subtraction
benchmark fractions and
Unlike
number sense to assess the
Denominators)
reasonableness of an answer.
Vocabulary: Sum, Difference, Equivalent, Numerator, Denominator, Common Denominator, Mixed Number, and Factors.
Benchmark Fraction: Benchmark fractions are common fractions that you can judge other numbers against. Normally, 1/4, 1/2, 3/4, and often 1/10
(because of its relationship with decimals) are referred to as benchmark fractions.
Read more: http://wiki.answers.com/Q/What_is_benchmark_fraction#ixzz174UgbnsV
Timeline
* The asterisk next to a document represents an adapted document.
Unit 10: Add or Subtract Mixed Numbers
Approximate Duration of Study: 1 ½ - 2 weeks
CCS
5.NF.1
Essential
Question
How do we solve for
the sum of mixed
numbers?
How do we solve for
the difference in mixed
numbers?
5.NF.2
How can we
demonstrate fractions
through story
problems?
Concept
Add/Subtract
Mixed
Numbers
Estimation
Story Problems
Skills
Align mixed numbers vertically to
solve for the sum/difference.
Borrow using regrouping in order
to subtract mixed numbers from
whole numbers.
Estimate the sum by rounding the
mixed numbers before solving.
Estimate the difference by
rounding the mixed number before
solving. (borrow using regrouping if
needed).
Use mixed numbers models to
represent the problem.
Use equations to represent the
problem.
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Mixed Numbers
Estimate mentally using mixed
numbers and number sense to assess
the reasonableness of an answer.
Story Problems
Use mixed number models to
represent the problem.
Use equations to represent the
problem.
Estimate mentally using mixed
numbers and number sense to assess
the reasonableness of an answer.
Vocabulary: Sum, Difference, Equivalent, Numerator, Denominator, Common Denominator, Mixed Number, Estimation, Regrouping, and Factors.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 11: Multiply Fractions
Approximate Duration of Study: 1 ½ weeks
CCS
5.NF.4a
Essential
Question
How do we
multiply
fractions?
5.NF.5b
What are rules to
multiplying
fractions?
How do we
anticipate the
product of
fractions?
Concept
Skills
Assessments
Helpful Strategies and Resources
Multiplying
Fractions with
Fractions
Multiplying Whole
Numbers to
Fractions
Multiply fractions with
fractions
e.g. (a/b x c/d =ac/bd)
Multiply fractions with whole
numbers
e.g. (a/b x q = aq/b)
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BRainPOP-Multiplying Fractions
Multiplying
Fractions
Explain why multiplying a
fraction greater than one by a
given number will result in a
larger product
Explain why multiplying a
fraction less than one by a
given number will result in a
smaller product
Supports How do we
Multiplying Mixed
Multiply mixed numbers by
5.NF.4a
multiply mixed
Numbers
converting them into improper
5.NF.5b
numbers?
fractions and following the
steps of fraction
multiplication.
5.NF.6
How does
Real World
Solve real world problems
multiplication
Problems of
using fractions and mixed
relate to real
Multiplication
numbers
world scenarios?
Use fraction models and
equations to represent the
problem
Vocabulary: Product, Difference, Equivalent, Compare, Numerator, Denominator, Common Denominator, Mixed Number, and Factors.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 12: Divide Fractions
CCS
5.NF.3
5.NF.7a
Essential
Question
Can you
interpret
fractions as
division?
Concept
Division
Use division by dividing the
numerator by denominator
Mixed Number
Quotients
Write the quotient as a mixed
number
Can you create a Story problems of
model to
division
represent
division as a
fraction?
Interpret that a fraction times
a whole number equals a new
number.
e.g. ¾ multiplied by 4 equals 3.
Understand ¾ is 3 wholes
beings shared by 4 people so
that each person has to share
a size of ¾.
Be able to place the quotient
as a mixed number or fraction
on a number line.
How do we
divide fractions
by whole
numbers?
Interpret and compute the
quotient
e.g. (1/3) ÷4
Create a visual fraction model
and equations to represent
the quotient
Use the relationship of
multiplication to support your
quotient
e.g. (1/3) ÷ 4 = 1/12 because
(1/12) x 4 = 1/3
Divide unit
fractions by whole
numbers
How do we
model a division
equation?
5.NF.7b
Approximate Duration of Study: 1 week
Skills
Assessments
How do we
Timeline
Divide whole
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
BrainPOP-Dividing Fractions
Literature:
A Remainder of One
Interpret and compute the
* The asterisk next to a document represents an adapted document.
1 of 2
divide whole
numbers by
fractions?
numbers by unit
fractions
quotient
e.g. 4 ÷(1/5)
Create a visual fraction model
and equations to represent
How do we
the quotient
model a division
Use the relationship of
equation?
multiplication to support your
quotient
e.g. 4 ÷ (1/5) = 20 because
20 x (1/5) = 4
Divide fractions by
Interpret and compute the
fractions
quotient
e.g. (1/5) ÷(1/5)
Create a visual fraction model
and equations to represent
the quotient
Use the relationship of
multiplication to support your
quotient
5.NF.7c How do you
Division Problem
Create a story to represent a
create story
Solving/Story
sample division equation
problems to
Problems
Solve story problems involving
represent
division of unit fractions by
division
non zero whole numbers and
equations?
division of whole numbers by
unit fractions
Create a visual fraction model
and equations to represent
the quotient
e.g. How much chocolate will
each person get if 3 people
share ½ lb of chocolate
equally? How many 1/3-cup
servings are in 2 cups of
raisins?
Vocabulary: Product, Quotient, Difference, Equivalent, Numerator, Denominator, Common Denominator, Mixed Number, and Factors.
2 of 2
Timeline
* The asterisk next to a document represents an adapted document.
Unit 13: Ratio, Percents, and Probability
Approximate Duration of Study: 1 ½ weeks
CCS
ISAT
CONCEPT
Essential
Question
How do you
express a ratio?
Concept
Assessments
Pretest
Understand Ratio
Pretest*
proportions
Write ratios using a fraction Posttest
How are ratios
Posttest*
and a colon
used daily?
Quiz
Fractions, Decimals and
Quiz *
Percents
Ratios and Rates
Solve word problems and
properly represent ratios
How do I calculate Percents
Understand a Percent
a percent?
Calculate a Percentage
Find the percentage of
How can I use
whole numbers
percentages at a
Find the percentage of a
restaurant?
fraction
Find the percentage of
How will I use
money
percentages at a
Relate percents to fractions
store?
and decimals
Solve for percents through
word problems
How is probability Probability
Understand Probability
computed?
Represent probability in
multiple ways
How can
Compare/Relate Probability
probability be
to percentages and ratios
used in everyday
Solve for probability through
life?
word problems
Vocabulary: Fractions, Ratio, Percent, Probability, Compare, Colon, Rates, and Proportions.
Timeline
Ratios
Skills
Helpful Strategies and Resources
BrainPOP-Ratios
Literature:
Do you Wanna Bet?
BrainPOP-Percents
BrainPop-Basic Probability
BrainPOP-Probability
* The asterisk next to a document represents an adapted document.
Unit 14: Geometric Figures
CCS
Essential
Question
ISAT
How do you plot
CONCEPT points in order
outline a 2D shape?
Supports
5.G.3
5.G.4
How do you
indentify lines
according to their
properties?
Concept
5.G.3
Angles
5.G.4
ISAT
CONCEPT
Supports
5.G.3
How do we classify
angles?
How do we measure
using a protractor?
How do you classify
a polygon?
How do you identify
the properties of a
circle?
Approximate Duration of Study: 2 – 2 ½ weeks
Skills
Assessments
Points
Establish points to create 2D shapes.
Label points using letters to name 2D
shapes.
Lines
Identify figures as lines, rays, and line
segment.
Identify lines as oblique, horizontal or
vertical.
Identify pairs of lines as perpendicular,
parallel, or intersecting.
Name an angle (right, acute, or obtuse)
Draw an angle (right, acute, or obtuse)
Measure an angle (right, acute, or
obtuse)
Polygons
Use the properties of lines, points, and
angles to classify polygons.
Name a polygon based on the polygons
properties.
Identify the total number of diagonals
within a polygon.
Evaluate a polygon to determine lines of
symmetry.
Circles
Name the properties of a circle
(circumference, radius, diameter, chord).
Solve for the radius, circumference, and
diameter using the appropriate
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
Literature:
The Greedy Triangle
The Black Dots
What’s Your Angle
Pythagoras?
BrainPOP-Angles
BrainPOP-Circles and Measuring
Circles
* The asterisk next to a document represents an adapted document.
1 of 2
5.G.4
equations.
5.G.4
What is the
Congruent/S
Compare shapes and classify them as
difference of figures imilar
either congruent or similar.
being congruent or
Figures
similar?
Vocabulary: Two- Dimensional Shapes, Lengths, Degrees, Angles, Sides, Quadrilateral, Square, Parallelogram, Rhombus, Trapezoid, Rectangle, Angles,
Degrees, Classify, Chord, Radius, Diameter, Circumference, Simple, and Complex.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 15: Plane and Solid Figures
CCS
Essential
Question
How can the
characteristics of
shapes helps us
categorize
multiple figures?
Concept
5.G.4
How can we
sequentially order
shapes according
the properties
from simplest to
most complex?
Classify and
Compare
Quadrilaterals
ISAT
CONCEPT
Supports
5.G.3
How can we name
triangles
according to
properties?
Categorize
Triangles
5.G.3
ISAT
CONCEPT
Categorize
Quadrilaterals
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Understand that a twodimensional shape can be
classified using different
categorization (side lengths,
degrees of angles, number
of sides)
e.g. All rectangles have right
angles, a square is rectangle, so
all squares have right angles.
Organize two-dimensional
shapes as being classified as
more than one figure in
order from simplest to most
complex.
e.g. shape, quadrilateral,
parallelogram, rhombus, square
Identify triangles using
properties of side lengths
and angles (Isosceles,
Scalene, Equilateral, Right,
Obtuse, and Acute).
Understand that a threedimensional shape can be
classified using different
categorization (faces, edges,
vertices, and face shape).
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Classifying Triangles
How can the
Categorize 3D
properties of a 3D shapes
shapes be
SupportS analyzed to
5.G.3
establish a
5.G.4
classification?
Vocabulary: Two- Dimensional Shapes, Lengths, Degrees, Angles, Sides, Quadrilateral, Square, Parallelogram, Rhombus, Trapezoid, Rectangle, Angles,
Degrees, Classify, Acute Angle, Obtuse Angle, Right Angle, Equilateral, Scalene, Isosceles, Simple, and Complex.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 16: Perimeter
Approximate Duration of Study: 1 week
CCS
ISAT
CONCEPT
Essential
Question
How do you solve
for the perimeter?
Supports
5.NF.4b
5.NF.5a
5.NF.6
Supports
5.G.3
5.G.4
Concept
Skills
Assessments
Helpful Strategies and Resources
Perimeter of
polygons
Understand the concept of
the perimeter of polygons
Use addition to solve for the
perimeter
Use the formulas:
(l + l + w + w) or (2 x l) + (2 x w)
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Literature:
Cut Down to Size at High Noon
Sir Cumfrence and the Great Knight
of Angleland
How does the
perimeter relate
to architecture?
Circumference
of Circles
Understand the concept of
the perimeter of circles
Use formulas:
(π • d) or (2πr)
Vocabulary: Perimeter, Circumference, Diameter, Radius, Length, Width, and Sum.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 17: Area
Approximate Duration of Study: 2- 2 1/2 weeks
CCS
5.NF.4b
Essential
Question
How do we solve
for the area of a
rectangle?
Concept
Skills
Area- Unit
Squares
Solve for the area of a rectangle with
fractional sides using unit squares
Recognize that the area is the same
using different strategies. (Unit
squares/Lengths of sides)
Record the product as a rectangle
area
Area- Side
Lengths
Solve for the area of a rectangle with
fractional side lengths
Record the product as a rectangle
area
How do we solve for
the area of a
rectangle?
Area-Triangle
5.NF.5a
How can we
interpret
multiplication as
scaling (resizing)?
Comparing
Sizes
Solve for the area of a triangle with
whole number side lengths
Solve for the area of a triangle with
fractional side lengths
Record the product as a triangular
area
Evaluate the factors to estimate the
product (size), without multiplying
5.NF.6
How does
multiplication relate
to real world
scenarios?
Real World
Problems of
Multiplication
ISAT
CONCEPT
Supports
5.NF.4b
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Area of Polygons
Solve real world problems using
fractions and mixed numbers
Use fraction models and equations
to represent the problem
Vocabulary: Product, Compare, Congruent, Similar, All Shapes, Sides, Length, Width, Surface Area ,and Base.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 18: Volume
Approximate Duration of Study: 1 – 1 ½ weeks
CCS
5.MD.3a
Essential
Question
How do we solve for
volume?
Concept
Identifying
Volume
Problems
What types of shapes
can we solve for the
volume?
Skills
Volume is solved when
evaluating solid figures
To recognize that we need
three measurements (length,
width, height) to solve for the
volume
Unit Cube
How do we identify a Measurement
cube that consists of
1 unit cube?
5.MD.3b How can we solve for Unit Cube
the volume of a solid Measurement
figure using addition?
Understand that units(square)
can be used to measure
volume
5.MD.4
Measuring
solid figures
(unit cubes
only)
Measure volume by counting
unit cubes
Solve Volume
Use unit cubes to fill a
rectangle to find the side
lengths.
5.MD.5a
When we solve for
volume are there
patterns?
Is the unit of
measurement
relevant to solving
for the problem?
How can we use unit
cubes to find the side
lengths of a shape?
How can we compare
using unit cubes or
side length to solve
for the volume?
Compare
Volume
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Volume of Cylinders
BrainPOP-Volume of Prisms
Understand that the sum of
unit cubes within a solid figure
is the volume
Use cubic cm, cubic in, cubic ft,
and improvised units.
Relate volume of unit cubes to
the multiplication of edge
lengths (l x w x h)
Relate the volume of unit cubes
to multiplying an edge length
and the area of the base(b x h)
1 of 2
Timeline
* The asterisk next to a document represents an adapted document.
How can we
represent the volume
using three different
strategies?
5.MD.5b
5.MD.5c
Can volume be
represented through
the associative
property?
How can we apply
the multiple formulas
of volume to real
world problems?
How can we
recognize volume as
an additive?
How can we apply
addition to solving
for the volume in real
world situations?
Representation
of Volume
Represent solving for the
volume in three different ways
e.g. unit cubes, l x w x h,
(base area)b x h
Represent the volume through
the associative property
Apply Formulas
to Real World
Problems
Volume as
Addition
Solve using V = l x w x h for
rectangular prisms using whole
numbers
Solve using V = B (base area) x
H for rectangular prisms using
whole numbers
Find the volume of two nonoverlapping rectangular prisms
by adding the volumes of the
separate parts.
e.g. “T- shaped” prism
Apply additive strategies of
volume to real world situations.
Vocabulary: Base, Area, Formula, Associative Property, Solid Figure, Unit Cube, One cubic unit, Threefold whole-numbers, Volume, Product, Prisms,
and Variables.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 19: Number Concepts
Approximate Duration of Study: 1- 1 ½ weeks
CCS
ISAT
CONCEPT
Supports
5.NBT.1
5.NBT.2
5.NBT.5
5.NF.5A
Essential
Question
How do you solve for
multiples?
Concept
Skills
Assessments
Multiples
Find multiples and least
common multiples
How can we use
multiples and division
to determine
divisibility?
Divisibility
How do we identify
factors?
Factors
Use to division and multiples to
be able to list all numbers that
are divisible by the given
number.
Find all factors of whole
numbers
Solve and understand the
greatest common factors (GCF);
between two or three numbers
Connect factors to reducing and
simplifying fractions
How can factors help
us reduce and
simplify fractions?
What is the
difference between a
prime and composite
number?
How do we solve for
exponents?
How will exponent
terminology support
our understanding of
polygons?
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Factoring
Prime and
Composite
Identify prime and composite
numbers
Prime Factorization
BrainPop-Prime Numbers
Exponents
Solve for exponents
Represent exponents using
expanded form from standard
form
Represent exponents in
standard form from expanded
form
Understand exponent
terminology (e.g. squared,
cubed, powers)
BrainPOP-Exponents
Vocabulary: Multiples, Factors, Composite, Prime, Factorization, Squared, Cubed, Powers, Standard Form, Expanded Form.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 20: Data Grouping
Approximate Duration of Study: 2 days
CCS
ISAT
CONCEPT
Essential
Question
How do I solve for
the mean, median,
mode, and range?
How does the
mean, median,
mode, and range
compare to each
other?
Concept
Skills
Mean, Median,
Mode, and
Range
Solve for the mean, median,
mode, and range separately
Solve for the mean, median,
mode, and range for one set
of data.
Comparing
Mean, Median,
Mode, and
Range
Compare the mean, median,
mode, and range
Identify the similarities and
differences of ell concepts
(mean, median, mode, and
range)
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Mean, Median, Mode and
Range
Vocabulary: Mean. Median, Mode, Range, Average, Product, Quotient, Sum, and Difference.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 21: Customary and Metric Measurements
CCS
5.MD.1
ISAT
CONCEPT
Essential
Question
How do you convert
measurements
within the same
unit?
Concept
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Convert
Metric
Lengths
Convert different size
measurements within a given
measurement system
e.g. 5 cm to 0.05 m
Solve multi- step problems
Solve real world problems
How do you convert
measurements
within the same
unit?
Customary
Lengths
(ft./in./yds.)
How do you convert
measurements
within the same
unit?
Convert
Metric
Weight
How do you convert
measurements
within the same
unit?
Customary
Mass
How do we measure
time that has past?
Elapsed Time
Convert different size
measurements within a given
measurement system
e.g. 5 ft to 60 in.
Solve multi- step problems
Solve real world problems
Convert different size
measurements within a given
measurement system
(lb., oz.,tons, etc.)
Solve multi- step problems
Solve real world problems
Convert different size
measurements within a given
measurement system
(grams, kg, etc.)
Solve multi- step problems
Solve real world problems
Evaluate two set times and be
able to determine the amount of
time in between.
Solve time in the past a future.
Supports
5.MD.1
How do we establish
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
ISAT rulers
BrainPOP-Metric Units
SMART Notebook – Converting
Measurement
SMART Notebook - Conversions
Literature:
Millions to Measure
Jim and The Beanstalk
Weighting the Elephant
BrainPOP-Customary Units
BrainPOP-Metric vs. Customary
BrainPOP-Elapsed TIme
1 of 2
* The asterisk next to a document represents an adapted document.
a time that needs to
be met in the
future?
Solve for time over years, months,
weeks, days, hours, minutes, and
seconds.
Solve multi- step problems
Solve real world problems
How do you read a
Temperature
Read a thermometer.
thermometer?
Convert between Celsius and
Fahrenheit.
How do we convert
Solve multi- step problems
temperature?
Solve real world problems
Vocabulary: All Metric System Units, All Customary Units, Celsius, Fahrenheit, Thermometer, Elapsed Time, Convert, Ruler, Fractional Parts, Decimals,
and Place Value.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 22: Graphs and Integers
CCS
5.MD.2
ISAT
CONCEPT
Essential
Question
How do you
represent data
using a multiple
graphs?
Supports
5.MD.2
5.G.2
Concept
Line Graph
Bar Graph
Pictographs
Histograms
Circle Graphs
Stem-and-Leaf
Real World
Graphing
Approximate Duration of Study: 1 ½ - 2 weeks
Skills
Assessments
Make a graph to display a
data set of measurements of
whole and fractional
numbers (1/2, 1/4, 1/8)
Make a graph to display a
data set of measurements of
positive and negative whole
numbers
Use operations to solve
problems involving
information presented in
the graph.
Represent points in the first
quadrant (whole positive
numbers) to interpret data
of a real world problem
Interpret coordinate points
in the context of the
situation.
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
SMART Notebook – Line Plots &
Integers
Vocabulary: Ordered Pairs, Coordinates, Quadrants, Patterns, Sequences, Axes, Pair of perpendicular number lines, Origin, Coordinate System,
Coordinates, X- Axis and Y- Axis, X- Coordinate and Y- Coordinate.
Timeline
* The asterisk next to a document represents an adapted document.
Unit 23: Coordinate Planes and Ordered Pairs
Approximate Duration of Study: 1 ½ - 2 weeks
CCS
5.G.1
Essential
Question
How do we configure a
coordinate plane?
Concept
Create a
Coordinate
Plane/Graph
Intersect a pair of line
perpendicularly
Understand that these lines define
a coordinate system and create
axes.
Identify the origin
Ordered
Pairs/
Coordinates
Understand that the first number is
how far to travel from the origin in
the direction of one axes
Understand that the second
number is how far to travel in the
direction of second axes
Identify the names of the two axes
and the two coordinates.
e.g. x-axis and y- axis, x- coordinate
and y- coordinate
Generate two number patterns
using a given rule
X-value add 3, Y-value add 6.
What are the parts of a
coordinate plane?
How can we represent
numbers in a coordinate
plane?
What are ordered pairs?
What do the numbers in
an ordered pair
represent?
5.OA.3
What are the
relationships between
corresponding terms?
Skills
Functions
and Patterns
of Ordered
Pairs
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP-Coordinate Plane
SMART Notebook – Coordinate
Planes
SMART Notebook – Coordinate
Plane
SMART Notebook – Ordered Pairs
SMART Notebook – Ordered Pairs
SMART Notebook – Coordinate
Planes
SMART Notebook – Coordinate
Graphing
Why are the
relationships relevant?
How can we use
ordered pair to
develop relationships
in numbers?
1 of 2
* The asterisk next to a document represents an adapted document.
Find ordered pair relationships
(rule)
What are ordered
pairs?
Ordered
Pairs/
Coordinates
Compare two sequences of
numbers to develop pattern.
Add 3, starting at 0 and Add 6 starting
at 0, then identify that the sequence is
twice the corresponding term.
What do the numbers
in an ordered pair
represent?
5.G.2
SMART Notebook – Coordinate
Grids
Real World
Graphing
Represent points in the first
quadrant (whole positive
numbers) to interpret data of a
real world problem
Interpret coordinate points in the
context of the situation.
Vocabulary: Integers, Ordered Pairs, Coordinates, Quadrants, Patterns, Sequences, Axes, Pair of Perpendicular Lines, Number Lines, Origin, Coordinate
System, Coordinates, X- Axis and Y- Axis, X- Coordinate and Y- Coordinate.
Timeline
2 of 2
* The asterisk next to a document represents an adapted document.
Unit 24: Patterns
Approximate Duration of Study: 1 week
CCS
ISAT
CONCEPT
Essential
Question
How do we classify
the movement of a
shape/object?
Concept
Transformations
(Movement of
Objects)
Tessellations
Patterns
ISAT
CONCEPT
How do we
determine a rule
using an
input/output chart?
Skills
Identify the movement of an
object as a translation (slide),
rotation (turns), reflections
(flip).
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
BrainPOP- Transformations
SMART Notebook- Transformations
SMART Notebook - Transformations
Arrange 2D shapes on a flat
plane to create a pattern of
plane figures that fills the plane
with no overlaps and no gaps.
Identify the pattern and
continue the pattern using
geometric figures.
Identify the pattern and
continue the pattern using
whole numbers.
Input/ Output
Sequences
SMART Notebook – Function
Compare the input to the output
Machine
and determine a rule.
SMART Notebook – Function Man
Insert a digit(s) into an input and
solve for the output.
Determine the input when only
given the output and the rule.
Vocabulary: Transformations, Tessellations, Ordered Pairs, Relevancy, Corresponding Terms, Term, Patterns, X-Value, Y-Value, Sequence, and Rule.
Timeline
* The asterisk next to a document represents an adapted document.
Important ISAT Concepts
1.
2.
3.
4.
5.
6.
7.
8.
Shapes
i. Faces/Edges/Vertices/Corners
ii. 3-Demential Shapes
iii. Congruent Shapes
iv. Flat 3D shape
v. Similar Figures
vi. Naming Shapes (Pentagon)
vii. Balance weight of shapes- pictures
Rounding
i. Basic rounding
ii. Estimating Rounding
Estimation
Transformations (translations)
Algebra
i. All operations
ii. N = 5 put into equation
Decimals
i. Naming decimals
ii. Ordering Decimals
iii. Least to greatest
Coordinate graphing
i. X and Y chart (1/2 amounts)
ii. Graphing Ordered Pairs
Rules/Sequencing
i. Input/output
Timeline
* The asterisk next to a document represents an adapted document.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
ii. Sequence Rules
iii. 4 family members older/younger find the order
Mean/median/mode/range
Probability and Ratio
i. Probability of number shaded
ii. Ex. Dice rolled 50 times of getting 2
Measurement
i. ISAT RULERS
ii. Measuring lengths with rulers
iii. Measurement of a line (Fractions/Number Line)
Exponents
Fractions and Improper
i. Converting (fraction – decimal)
ii. Reducing
Volume/Perimeter/Area
i. Square units
ii. Ex. Perimeter Length of paper chip or ant
Time – Elapsed Time
Properties
i. Associative Property parenthesis
ii. Communitive Property
Angles/Degrees
i. Acute/Obtuse/Straight
ii. 90 degrees & 45 degrees
Graphs
i. Reading a bar graph
ii. Pictograph
Timeline
* The asterisk next to a document represents an adapted document.
19.
Measurement
i. Convert Inches to feet
ii. Pool water is measured in gallons
20. Combinations
i. Ex. 5 ice creams 3 cones
Quick Review Concepts
- Factors
- Multiplication Dot
- Writing numbers in words
Random Question Examples
Time/Temp/went up and down
Total amount shared by a number equals
Bought two at $5.50 and four at $.50 / give change
Purchase 3 items, 1 item, 2 item and change
1/6 of 50
Calculator Practice
1.
Changing improper to proper fractions
2.
Reducing fractions
3.
Simplifying improper fractions
4.
Parentheses
5.
Estimating
6.
Exponent
Timeline
* The asterisk next to a document represents an adapted document.