# Grade 4 Math Curriculum Map Weeks 1

## Transcription

Grade 4 Math Curriculum Map Weeks 1
```Grade 4 Math Curriculum Map Weeks 1-8 (Quarter 1 = 44 Instructional days)
Number and Operations
in Base 10
Domain
MAFS
Standard Description
Focus
4.NBT.1.1
Recognize that a digit in one
place represents ten times
what it represents in the
place to its right.
multi-digit numbers.
Use place value
understanding to round
multi-digit numbers.
Model the 10-to-1
relationship among placevalue positions in the baseten number system.
multi-digit numbers.
Round a whole numbers to
any place.
Interpret a multiplication
equation as a comparison.
Determine whether an
equation is true or false.
Determine the unknown
whole number in an equation.
Multiply and divide to solve
word problems involving
multiplicative comparison.
Interpret a multiplication
equation as a comparison.
Determine whether an
equation is true or false.
Determine the unknown
whole number in an equation
Solve problems involving
multiplicative comparison
4.OA.1.3
Solve multistep word
problems. Use a variable for
unknown value.
Represent and solve
multistep problems using
equations.
4.NBT.2.5
Multiply a whole number of
up to 4-digits by a 1-digit
number.
Use different strategies to
multiply multi-digit number
by a 1-digit number.
4.OA.1.3
Solve multistep word
problems. Use a variable for
unknown value.
Multiply a whole number of
up to four digits by a onedigit whole number. Use
different strategies.
Use the strategy draw a
diagram to solve multi-step
multiplication problems.
Use place value and
multiplication properties to
multiply by tens. Estimate
products by rounding or by
using compatible numbers.
Solve multistep word
problems. Use a variable for
unknown value.
Use remainders to solve
division problems. Solve
multi-step multiplication
problems.
Use various strategies to find
quotients and remainders.
4.NBT.1.2
4.NBT.1.3
4.NBT.2.4
* 4.OA.1.1
a, b
(This is a new
standard)
4.OA.1.2
Operations and Alg.
Thinking & Number
and Operations
in Base 10
Operations and Alg. Thinking
4.OA.1.1
4.NBT.2.5
4.OA.1.3
and check solutions.
Essential Questions
How can you describe the value of a digit?
How can you read and write numbers
through hundred thousands?
How can you compare and order numbers?
How can you round numbers?
How can you rename the whole number?
numbers?
How can you use the strategy draw a
diagram to solve comparison problems
comparison problem?
How does understanding place value help
you multiply tens, hundreds, and
thousands?
How can you estimate products by
rounding and determine if exact answers
are reasonable?
How can you use expanded form to multiply
a multi-digit number by a 1-digit number?
How can you use regrouping to multiply a
2-digit number by a 1-digit number??
What strategies can you use to estimate
products?
How can you use place value and partial
products to multiply 2-digit numbers?
How can you use regrouping to multiply 2digit numbers?
How can you find and record products of
two 2-digit numbers?
Resources
Go Math – Chapter 1 Place Value,
Lessons 1-8
Pacing
1 day intro + 8 days –instruction
2 days- assessment
11 days total
Assessments
What You Know
Formative: Mid-Chapter Checkpoint
Summative: Chapter 1 Test Form B
Go Math- Chapter 2; Multiply by 1Digit Numbers *(Check for addition
resources on Think Central for the
new standard)
Lessons 1-12
Pacing
1 day – introduction
12 days –instruction
2 days- assessment
15 days total
Assessments
What You Know
Formative: Mid-Chapter Checkpoint
Summative: Chapter 2 Test Form B
Go Math – Chapter 3 Multiply 2digit Numbers; Lessons 1-7
Pacing
1 day intro + 7 days –instruction
2 days- assessment
10 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 3 Test Form B
Go Math – Chapter 4 Divide by 1Digit Number; Lessons 1-6 SPLIT
Pacing
1 day – introduction
6 days –instruction
1 days- assessment
8 days total
Assessments
Formative: Mid-Chapter Checkpoint
Operations and Alg.
Thinking
Number and Operations
in Base 10
How can you use remainders in division
problems?
How can you divide numbers through
thousands by whole numbers through 10?
Find whole-number quotients
4.NBT.2.6
How can you use compatible numbers to
and remainders with up to
estimate quotients?
four-digit dividends and oneHow can you use Distributive Property to
digit divisors using various
find quotients?
strategies
How can you use partial quotients to divide
by 1-digit divisors
Quarter 1 Formative Assessment will include chapters 1-3 (Performance Matters) *Note - Chapter 4 will be tested in 2nd Quarter
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 4 Math Curriculum Map Weeks 9-16 (Quarter 2 = 46 Instructional Days)
MAFS
Number and
Operations Fractions
Standard Description
4.OA.1.3
Solve multistep word
problems. Use a variable for
unknown value.
4.NBT.2.6
Find whole-number quotients
and remainders with up to
four-digit dividends and onedigit divisors.
Investigate factors and
multiples. Determine
whether a given number
prime or composite
Generate a number or shape
pattern. Identify apparent
features of the pattern were
not explicit in the rule itself.
4.OA.2.4
**Amended
4.OA.3.5
4.NF.1.1
Explain and generate
equivalent fractions.
4.NF.1.2
Compare two fractions with
different numerators and
denominators,
4.NF.2.3
(a – d)
of fractions
b) Decompose a fraction into
a sum of fractions with the
same denominator
numbers with like
denominators.
d) Solve word problems
involving fractions.
4.NF.2.4
(a-c)
Apply and extend previous
understanding of
multiplication to multiply
fractions by a whole number.
Number and
Operations –
Fractions
Fractions
Oper. & Alg.Thinking
OA & NBT
Domain
Focus
Use remainders to solve
division problems. Solve
multi-step multiplication
problems.
Use various strategies to find
quotients and remainders.
Understand the relationship
between factors and
multiples.
Generate a number pattern
and describe features of the
pattern.
Use models and different
strategies to show equivalent
fractions. Write and identify
equivalent fractions in
simplest form.
Compare fractions using
benchmarks and creating
common denominator.
Compare and order fractions.
of fractions
b) Decompose a fraction into
a sum of fractions with the
same denominator.
numbers with like
denominators.
d) Solve word problems
involving fractions.
Multiply a fraction by a whole
number to solve a problem.
Essential Questions
How can you use remainders in division
problems?
How can you divide numbers through
thousands by whole numbers through 10?
How can you use Distributive Property to
find quotients?
How can you use partial quotients to divide
by 1-digit divisors
How can you use models to find factors?
How can you tell whether one number is a
factor of another number?
How can you use the make a list strategy to
solve problems with common factors?
How are factors and multiples related?
How can you tell whether a number is
prime or composite?
How can you describe patterns?
How can you use multiplication to find
equivalent fractions?
How can you write a fraction as an
equivalent fraction in simplest form?
How can you write a pair of fractions as
fractions with a common denominator?
How can you compare fractions?
How can you order fractions?
When can you add or subtract parts of a
whole?
How can you write a fraction as a sum of
fractions with the same denominators?
How can you add/subtract fractions with
like denominators using model?
How can you add/subtract mixed numbers
with like denominators?
How can you add fractions with like
How can you write a fraction as a product
of a whole number and a unit fraction?
How can you use a model to multiply a
fraction by a whole number?
How can you multiply a fraction by a whole
number to solve a problem?
How can you use the strategy draw a
diagram to solve comparison problems
with fractions?
Resources
Go Math – Chapter 4 Divide by 1Digit Number; Lessons 7-12 SPLIT
Pacing
6 days –instruction
1 days- assessment
7 days total
Assessments
Summative: Chapter 4 Test Form B
Go Math – Chapter 5 Factors,
Multiples and Patterns; Lessons 1-6
Pacing
1 day intro + 6 days –instruction
2 days- assessment
9 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 5 Test Form B
Go Math – Chapter 6 Fraction
Equivalence and Comparison; L 1-8
Pacing
1 day intro + 8 days –instruction
2 days- assessment
11 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 6 Test Form B
Go Math – Chapter 7 Add and
Subtract Fractions; Lessons 1-10
Pacing
1day intro + 10 days –instruction
2 days- assessment
13 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 7 Test Form B
Go Math – Chapter 8; Multiply
Fractions by Whole Numbers
Pacing Lesson 1-5
1 day intro + 5 days –instruction
2 days- assessment
8 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 8 Test Form B
Quarter 2 Cumulative Assessment will include chapters 1-8 (Performance Matters)
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 4 Math Curriculum Map 17-24 (Quarter 3 = 43 Instructional Days)
Domain
MAFS
4.NF.3.5
Fractions
4.NF.3.6
4.NF.3.7
4.MD.1.2
Geometry
4.OA.3.5
4.G.1.1
4.G.1.2
Measurement and
Data
4.G.1.3
4.MD.3.5
a, b
4.MD.3.6
4.MD.3.7
Measurement and
Data
Measurement and
Data
4.MD.1.1
4.MD.1.2
** Amended
4.MD. 2.4
4. MD.1.3
Standard Description
Focus
Express a fraction with
denominator 10 and 100.
Use decimal notations for
fractions with denominators
10 or 100.
Compare two decimals to
hundredths.
Solve problems that include
fractions and decimals.
denominators are 10 or 100.
Use decimal notations for
fractions with denominators
10 or 100.
Compare two decimals to
hundredths.
Solve money word problems
by using different strategies.
Generate a number or shape
pattern.
Draw lines, line segments,
rays, angles, perpendicular
and parallel lines.
Classify 2-D figures. Identify
right triangles.
Identify and draw lines of
symmetry in 2-D figures.
Relate angles and fractional
parts of a circle. Relate
degrees to fractional parts.
Measure angles in wholenumber degrees using
protractor. Sketch angles.
Determine the measure of an
angle separated into parts.
Know relative sizes of
measurement units including
km, m, cm; kg, g, lb, oz; l, ml;
hr, min, sec.
Solve word problems with
fractions and decimals.
Make a line plot to display
data. Solve problems
involving fractions.
Apply the area and perimeter
formulas for rectangles in
real world and mathematical
problems.
Use the strategy act it out to
solve pattern problems.
Draw lines, line segments,
rays, angles, perpendicular
and parallel lines.
Classify triangles by the size
of their angles.
Identify and draw lines of
symmetry in 2-D figures.
Understand that an angle that
measures 1° turns through
n/360 of a circle.
Use protractor to measure an
angle and to draw an angle
with given measure.
Determine the measure of an
angle separated into parts.
Use benchmarks to
understand the relative sizes
of measurement units.
Solve problems involving
mixed measures.
Make and interpret line plots
with fractional data.
Apply the area and perimeter
formulas for rectangles in
real world and mathematical
problems.
Essential Questions
Resources
How can you record tenths as fractions and
decimals?
How can you record hundredths as
fractions and decimals?
How can you relate fractions, decimals and
money?
How can you use the strategy act it out to
solve problems that use money?
How can you add fractions when the
denominators are 10 or 100?
How can you identify and draw points,
lines, line segments, rays, and angles?
How can you classify triangles by the size of
their angles?
How can you identify and draw parallel
lines and perpendicular lines?
How can you check if a shape has line
symmetry?
Go Math – Chapter 9 Relate
Fractions and Decimals
Lessons 1-7
Pacing
1 day intro + 7 days –instruction
1 days- assessment
9 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 9 Test Form B
How can you relate angles and fractional
parts of a circle?
How are degrees related to fractional parts
of a circle?
How can you use a protractor to measure
and draw angles?
What strategy can you use to solve angle
measurement problems?
How can you use models to compare
customary units of length, weight and
volume?
How can you make and interpret line plots
with fractional data?
How can you use models to compare metric
units of length, mass, liquid volume?
How can you use models to compare units
of time?
How can you use a formula to find the
perimeter of a rectangle?
How can you use a formula to find the area
of a rectangle?
How can you find the area of combined
rectangles?
How can you find an unknown measure of a
rectangle given its area or perimeter?
Go Math – Chapter 11; Angles
Pacing Lesson 1-5
1 day intro + 5 days –instruction
1 days- assessment
7 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 11 Test Form B
Go Math – Chapter 12 Relative
Sizes of Measurement Units L 1-11
Pacing
1 day intro + 11 days –instruction
2 days- assessment
14 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 12 Test Form B
Go Math – Chapter 10
2-D Figures Lessons 1-9
Pacing
1 day intro +7 days –instruction
1 days- assessment
9 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 10 Test Form B
Go Math – Chapter 13; Perimeter
and Area Lesson 1-5
Pacing
1 day intro + 5 days –instruction
1 days- assessment
7 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 13 Test Form B
Quarter 3 Cumulative Assessment will include chapters 1-13 (Performance Matters)
Florida Standards Assessment (FSA) testing window March 23rd – April 10th
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 4 Math Curriculum Map Weeks 25-32 (Quarter 4 = 46 Instructional Days)
March 23rd – 27th, 2015
March 31st – April 3rd
March 31st – April 10th
Spring Break
Review
Florida Standards Assessment (FSA)
Getting Ready for 5th Grade (Student edition -Standard Practice Book-page 259.; Teacher edition – Planning Guide page 80)
Lessons
Concept
Assessments (Standard Practice Book)
Quizzes: (located in student practice book)
1
Checkpoint #1 (pg. 269)
Subtract
Dollars
and
Cents
2
Checkpoint #2 (pg. 283)
Order of Operations
3
Checkpoint #3 (pg. 295)
Divide by Multiples of Ten
4
Checkpoint #4 (pg. 305)
Model Division with 2-Digit Divisors
5
Place Value Through Millions
6
Tests: (located in Assessment guide)
Decimals and Place Value
7
Test #1 Lessons 1-11 Form A (AG.251)
Round Decimals
8
Test #2 Lessons 12-20 Form A (AG. 265)
Place Value to Compare Decimals
9
Decompose Multiples of 10, 100 and 1000
10
Number Patterns
11
12
Subtract Related Fractions
13
Compare Fraction Products
14
Repeated Subtraction with Fractions
15
Fractions and Division
16
Locate Points on a Grid
17
Area and Tiling
18
Multiply
3 Factors
19
Find Area of the Base
20
*Go Math program does not provide a lot of resources for the Getting Ready lessons. Please feel free to use other resources that you see fit with the
concepts above. Here are some suggested resources:
http://www.bigideasmath.com/protected/content/srh/ (basic skill review)
http://www.cpalms.org/Public/
http://studyjams.scholastic.com/studyjams/jams/math/index.htm
Other ________________________________________________
Quarter 4 Assessment will include Lessons 1-20 (Performance Matters)
Flagler County Public Schools 2014-2015
Updated July, 2014
Category
Quarterly Assessments
Chapter Test Form B
Mid-Chapter (Quiz)/Teacher created quizzes
Classwork
Homework
Teacher assigned projects
Weight Multiplier
6.0
4.0
1.0
0.50
0.10
Not to exceed 4.00 depending on rigor and length of the
project.
Mathematics Florida Standards (MAFS) Clarifications
In Grade 4, standards OA.2.4 and MD.1.2 have been amended (slightly changed) and two new standards have been added: OA.1.a & OA.1.b
These changes will be reflected in the online version of the Go Math program only. The print resources will be updated in 2015-16 school year.
New Standards
MAFS.4.OA.1.a - Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the
equation 60 + 24 = 57 + 27 is true or false.
MAFS.4.OA.1.b - Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking.
For example, solve 76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76.
Amended Standards
MAFS.4.OA.2.4 - Investigate factors and multiples.
a. Find all factor pairs for a whole number in the range 1–100.
b. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit
number.
c. Determine whether a given whole number in the range 1–100 is prime or composite.
MAFS.4.MD.1.2 - Use the four operations to solve word problems1 involving distances, intervals of time, and money, including problems involving simple fractions or
decimals2. Represent fractional quantities of distance and intervals of time using linear models. (1See glossary Table 1 and Table 2) (2Computational fluency with
fractions and decimals is not the goal for students at this grade level.)
Flagler County Public Schools 2014-2015
Updated July, 2014
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