Grade 5 Math Curriculum Map Weeks 1

Grade 5 Math Curriculum Map Weeks 1-8 (Quarter 1 = 44 Instructional days)
Domain
MAFS
Operations and Alg. Thinking
Number and Operations
in Base 10
Focus
Order of operations.
5.NBT.2.6
Divide four-digit numbers by
two-digit.
Uses different strategies
when dividing numbers.
5.NBT.2.6
Divide four-digit numbers by
two-digit using different
strategies.
5.NF.2.3
Interpret a fraction as
division of the numerator by
the denominator
(a/b = a ÷ b). Solve word
problems.
5.NBT.1.1
Recognize that in a multidigit number, a digit in one
place represents 10 times as
much as it represents in the
place to its right.
Read, write and compare
decimals to thousandths.
Round decimals to any place.
Add, subtract, multiply and
divide decimals to
hundredths.
Add, subtract, multiply and
divide decimals to
hundredths using concrete
models or drawings and
strategies based on place
value.
5.OA.1.2
5.NBT.1.1
5.NBT.1.2
5.NBT.2.5
Operations and Alg.
Thinking
Number and Operations
– Fractions
Number and Operations
in Base 10
Number and Operations
in Base 10in Base 10
Standard Description
Use ( ), brackets, or braces in
numerical expressions to
evaluate expressions
Write and evaluate simple
expressions.
Recognize the 10 to 1
relationship among placevalue positions..
Explain patterns in the
numbers and decimals by
powers of 10.
Fluently multiply multi-digit
whole numbers.
5. OA.1.1
5.NBT.1.3
5.NBT.1.4
5.NBT.2.7
5.NBT.2.7
Essential Questions
Resources
How do you describe a relationship
between two place-value positions?
How do you read, write, and represent
whole numbers through hundred millions?
How can you use properties of operations
to solve problems?
How can you use exponent to show powers
of 10?
How can you use a basic fact and a pattern
to multiply by a 2-digit number?
How do you multiply by 2-digit numbers?
How is multiplication used to solve a
division problem?
In what order must operations be evaluated
to find the solution to a problem?
Go Math – Chapter 1 Place Value,
Multiplication, and Expressions
Lessons 1-12
Pacing
1 day – introduction
12 days –instruction
2 days- assessment
15 days total
Assessments
Diagnostic (not graded) – Show
What You Know
Formative: Mid-Chapter Checkpoint
Summative: Chapter 1 Test Form B,
AG (Assessment Guide)
Divide by using: estimation,
base-ten blocks, partial
quotients, compatible
numbers
Solve division problems and
decide when to write a
remainder as a fraction.
How can you tell where to place the first
digit of a quotient without dividing?
How can you use partial quotients to divide
by 2-digit divisors?
How can you use compatible numbers to
estimate quotients?
How can you divide by 2-digit divisors?
When solving a division problem, when do
you write the remainder as a fraction?
Go Math- Chapter 2 Divide Whole
Numbers; Lessons 1-9
Pacing
1 day intro + 9 days –instruction
2 days- assessment
12 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 2 Test Form B,
AG (Assessment Guide)
Model, read, and write
decimals to thousandths.
How can you describe the relationship
between two decimal place-value positions?
How do you read, write, and represent
decimals through thousandths?
How can you use place value to compare
and order decimals?
How can you use place value to round
decimals to a given place?
How can you use base-ten blocks to model
decimal addition/subtraction?
Go Math – Chapter 3 Add and
Subtract Decimals; Lessons 1-12
Pacing
1 day – introduction
12 days –instruction
2 days- assessment
15 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 3 Test Form B,
AG (Assessment Guide)
Write numerical expressions.
Recognize the 10 to 1
relationship among placevalue positions..
Write and evaluate repeated
factors in exponent form.
Multiply by 1 and 2-digit
numbers.
Compare and order decimals
to thousandths.
Round decimals to any place.
Model decimal
addition/subtraction using
different strategies.
Model multiplication of whole
numbers and decimals.
Solve problem using the
strategy draw a diagram to
multiply money.
Quarter 1 Formative Assessment will include chapters 1-3 (Performance Matters)
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 5 Math Curriculum Map Weeks 9-16 (Quarter 2 = 46 Instructional Days)
Number and Operations
– Fractions
Fractions
Number and Operations
in Base 10
Number and Operations
in Base 10
Domain
MAFS
Standard Description
Focus
5.NBT.1.2
Explain patterns in the
number of zeros of the
product when mult./dividing
a number and decimals by
powers of 10.
Add, subtract, multiply and
divide decimals to
hundredths using concrete
models or drawings and
strategies based on place
value.
Explain patterns in the
number of zeros of the
product when mult./dividing
a number and decimals by
powers of 10.
Add, subtract, multiply and
divide decimals to
hundredths using concrete
models or drawings and
strategies based on place
value.
Find patterns in products
when multiplying by powers
of 10.
5.NF.1.1
Add and subtract fractions
with unlike denominators
(including mixed numbers).
Find a common denominator
or LCD to write equivalent
fractions.
Use equivalent fractions to
add and subtract fractions.
5.NF.1.2
Solve word problems
involving addition and
subtraction of fractions.
Solve problems using the
strategy work backward.
5.NF.2.4
Multiply a fraction or a whole
number by a fraction.
5.NF.2.5
Interpret multiplication as
scaling (resizing).
Solve real world problems
involving multiplication of
fractions and mixed numbers.
Apply and extend previous
understanding of division to
divide unit fractions by whole
numbers and whole numbers
by unit fractions.
Multiply fractions and whole
numbers by using models.
Multiply two mixed numbers
and find area.
Multiply fractions using area
models.
Multiply mixed numbers.
Solve problems using
different strategies.
Divide a whole number by a
fraction and divide a fraction
by a whole number.
5.NBT.2.7
5.NBT.1.2
5.NBT.2.7
5.NF.2.6
5.NF.2.7
Model multiplication of whole
numbers and decimals.
Solve problem using the
strategy draw a diagram to
multiply money.
Find patterns in quotients
when dividing by powers of
10. Divide decimals by whole
numbers.
Model division of decimals by
whole numbers. Estimate
decimal quotients. Write a
zero in the dividend to find a
quotient.
Essential Questions
Resources
How can patterns help you place the
decimal point in a product?
How can you use a model to multiply a
whole number and a decimal?
How can you use drawings and place value
to multiply a decimal and a whole number?
How can you use expanded form and place
value to multiply a decimal and a whole
number?
Go Math – Chapter 4 Multiply
Decimals; Lessons 1-8
Pacing
12 days –instruction
2 days- assessment
14 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 4 Test Form B,
AG (Assessment Guide)
How can patterns help you place the
decimal point in a quotient?
How can you use a model to divide a
decimal by a whole number?
How can you estimate decimal quotients?
How can you divide decimals by whole
numbers?
How can you place the decimal point in the
quotient?
How do you use strategy work backward to
solve multistep decimal problems?
How can you use models to add fractions
that have different denominators?
How can you use models to subtract
fractions that have different denominators?
How can you make reasonable estimates of
fraction sums and differences?
How can you rewrite a pair of fractions so
that they have a common denominator?
How can you use LCD to add/subtract
fractions with unlike denominators?
How can you use a model to show the
product of a fraction and a whole number?
How can you use an area model to show the
product of two fractions?
How does the size of the product compare
to the size of one factor when multiplying
fractions?
How do you multiply fractions?
How can you use a unit tile to find the area
of a rectangle with fractional size lengths?
Go Math – Chapter 5; Divide
Decimals; Lessons 1-8
Pacing
8 days –instruction
2 days- assessment
10 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 5 Test Form B,
Go Math – Chapter 6 Add/Subtract
Fractions with Unlike Denominators
Lessons 1-10
Pacing
10 days –instruction
2 days- assessment
12 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 6 Test Form B,
Go Math – Chapter 7; Multiply
Fractions; Lessons 1-10
Pacing
10 days –instruction
2 days- assessment
13 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 7 Test Form B,
Quarter 2 Cumulative Assessment will include chapters 1-7 (Performance Matters)
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 5 Math Curriculum Map 17-24 (Quarter 3 = 43 Instructional Days)
Number and
Operations
– Fractions
Domain
Standard Description
Focus
5.NF.2.3
MAFS
Interpret a fraction as
division of the numerator by
the denominator. Solve word
problems involving division.
5.NF.2.7
Apply and extend previous
understanding of division to
divide unit fractions by whole
numbers and whole numbers
by unit fractions.
Graph the ordered pairs on a
coordinate plane. Use two
rules to generate a numerical
pattern.
Make a line plot to display a
data set.
Define a coordinate system.
Graph and name points on a
coordinate grid.
Interpret a fraction as
division and solve wholenumber division problems
that result in fraction or
mixed number.
Divide a whole number by a
fraction and divide a fraction
by a whole number.
How do you divide a whole number by a
fraction and divide a fraction by a whole
number?
How does a fraction represent division?
How can you divide fractions by solving a
related multiplication sentence?
How can you use diagram, equations, and
story problems to represent division?
Use two rules to generate a
numerical pattern. Graph the
ordered pairs on a coordinate
plane.
Make and use line plots with
fractions to solve problems.
Graph and name points on a
coordinate grid using ordered
pairs.
How can a line plot help you find an average
with data given in fractions?
How can you identify and plot points on a
coordinate grid?
How can you use a coordinate grid to
display data collected in an experiment?
How can you use a line graph to display and
analyze real-world data?
How can you identify a relationship
between two numerical patterns?
Operations and Alg.
Thinking
Measurement and Data
Geometry
5.OA.2.3
5.MD.2.2
5.G.1.1
Represent real world
problems by graphing
Convert among differentsized standard measurement
units within a given
measurement system, and
use these conversions in
solving multi-step, real world
problems.
Collect and graph data on a
coordinate grid.
Compare, contrast, and
convert customary units of
capacity, length, weight,
metric units. Convert units of
time to solve elapsed time
problems.
5.MD.3.3
Recognize volume as an
attribute of solid figures.
5.MD.3.4
Measure volumes by counting
unit cubes.
Solve real world and
mathematical problems
involving volume.
Identify and classify
polygons.
Classify two-dimensional
figures in a hierarchy based
on properties.
Identify, describe, and
classify 3-D figures. Use unit
cubes to find volume.
Use unit cubes to estimate the
volume.
Find the volume using
formula. Make table to
compare volumes.
Identify and classify
polygons.
Classify and compare
quadrilaterals using their
properties.
Measurement and Data
Geometry
Measurement and
Data
5.G.1.2
5.MD.1.1
**Amended
5.MD.3.5
**Amended
5.G.2.3
5.G.2.4
**Amended
Essential Questions
How can you compare and convert
customary units of length?
How can you compare and convert
customary units of capacity?
How can you compare and convert
customary units of weight?
How can you solve multistep problems that
include measurement conversions?
How can you identify and classify polygons?
How can you classify triangles?
How can you classify and compare
quadrilaterals?
How can you identify, describe, and classify
3-D figures?
What is a unit cube and how can you use it
to build a solid figure?
How can you use unit cubes to find the
volume of a rectangular prism?
Resources
Go Math – Chapter 8 Divide
Fractions; Lessons 1-5
Pacing
1 day – introduction
5 days –instruction
2 days- assessment
8 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 8 Test Form B,
Go Math – Chapter 9 Patterns and
Graphing; Lessons 1-7
Pacing
1 day – introduction
7 days –instruction
2 days- assessment
10 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 9 Test Form B,
Go Math – Chapter 10 Convert
Units of Measure; Lessons 1-7
Pacing
1 day intro + 7 days –instruction
2 days- assessment
10 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 10 Test Form B
Go Math – Chapter 11
Geometry and Volume
Lessons 1-12
Pacing
1 day – introduction
12 days –instruction
2 days- assessment
15 days total
Assessments
Formative: Mid-Chapter Checkpoint
Summative: Chapter 11 Test Form B
Quarter 3 Cumulative Assessment will include chapters 1-11 (Performance Matters)
Florida Standards Assessment (FSA) testing window April 13th – May 8th
Flagler County Public Schools 2014-2015
Updated July, 2014
Grade 5 Math Curriculum Map Weeks 25-32 (Quarter 4 = 46 Instructional Days)
March 23rd – 27th, 2015
March 31st – April 10th
April 13th – May 8th
Spring Break
Review
Florida Standards Assessment (FSA)
Getting Ready for 6th Grade (Student edition -Standard Practice Book-page 245.; Teacher edition – Planning Guide page 80)
Lessons
Concept
Assessments (Standard Practice Book)
Compare Fractions and Decimals
Quizzes: (located in student practice book)
1
Checkpoint #1 (pg. 257)
Order
Fractions
and
Decimals
2
Checkpoint #2 (pg. 269)
Factor Trees
3
Checkpoint #3 (pg. 277)
Model Percents
4
Checkpoint #4 (pg. 291)
Relate Decimals and Percents
5
Fractions, Decimals and Percents
6
Tests: (located in Assessment guide)
Divide Fractions by a Whole Number
7
Test #1 Lessons 1-11 Form A (AG221)
Ratios
8
Test #2 Lessons 12-20 Form A (AG235)
Equivalent Ratios
9
Rates
10
Distance, Rate and Time
11
Understanding Integers
12
Write and Evaluate Expressions
13
Understanding Inequalities
14
Polygons on a Coordinate Grid
15
Area of a Parallelogram
16
Median and Mode
17
Finding the Average
18
Histograms
19
Analyze Historgrams
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
Grade 5 Math Grading Guidelines
Category
Weight Multiplier
Quarterly Assessments
Chapter Test Form B
Mid-Chapter (Quiz)/Teacher created quizzes
Classwork
Homework
Teacher assigned projects
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 5, standards MD.1.1, MD.3.5 and G.2.4 have been amended (slightly changed).
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.
Amended Standards
MAFS.5.MD.1.1 - Convert among different-sized standard measurement units (i.e., km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec) within a given measurement system (e.g.,
convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
MAFS.5.MD.3.5- Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found
by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent
the associative property of multiplication.
b. Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of
solving real world and mathematical problems.
c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the nonoverlapping parts, applying this technique to solve real world problems .
MAFS.5.G.2.4 - Classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.
Flagler County Public Schools 2014-2015
Updated July, 2014