Decision One:
Curriculum Map
Topic: Geometry
Key Learning(s):
Unit Essential Question(s):
Classify two-dimensional figures into
categories based on their properties.
Graph points on the coordinate plane
to solve real-world and mathematical
problems.
Concept:
How do you classify two-dimensional
figures into categories based on their
properties?
How do you graph points on the
coordinate plane to solve real-world and
mathematical problems?
Concept:
Classify Plane Figures
Coordinate Geometry
5.G.3
5.G.4
5.G.1
5.G.2
5.OA.3
Lesson Essential Questions:
1. How do you draw and classify
polygons? (E)
2. How do you classify triangles?
(E)
3. How do you classify
quadrilaterals? (E)
4. What are the properties of
special quadrilaterals? (E)
5. How are special quadrilaterals
related to each other? (E)
Lesson Essential Questions:
1.
2.
3.
Optional
Instructional Tools:
Sticks, straws, Coordinate
grids, Grid paper
Concept:
Concept:
Lesson Essential Question
Lesson Essential Questions:
How do you name and graph
points on a coordinate grid?
(E)
How can you find the
horizontal or vertical distance
between 2 ordered pairs? (E)
How can you use coordinate
graphs to show mathematical
relationships? (E)
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Polygon, regular polygon,
triangle, quadrilateral,
pentagon, hexagon,
octagon, equilateral triangle,
isosceles triangle, scalene
triangle, right triangle, acute
triangle, obtuse triangle,
parallelogram, trapezoid,
rectangle, rhombus, square,
generalization
Grade: 5
coordinate grid, x-axis, yaxis, origin, ordered pair, xcoordinate, y-coordinate
Vocabulary:
Vocabulary:
Decision One:
Curriculum Map
Topic: Measurement and Data
Key Learning(s):
Unit Essential Question(s):
Geometric measurement: understand
concepts of volume and relate volume
to multiplication and addition.
Convert like measurement units within
a given measurement system.
Represent and interpret data
Concept:
Grade: 5
How does volume relate to multiplication
and division?
How do you convert measurement units
within a given measurement system?
How do we represent and interpret data?
Concept:
Concept:
Volume of Solids
Units of Measure
Data
5.MD.3
5.MD.3.a
5.MD.3.b
5.MD.4
5.MD.1
5.MD.2
5.G.2
Lesson Essential Questions:
Lesson Essential Question
5.MD.5
5.MD.5.a
5.MD.5.b
5.MD.5.c
Lesson Essential Questions:
6. How do you describe a threedimensional shape or solid? (I)
7. How do you describe views of
stacked cubes/solids? (I)
8. How can you use models to find
the volume of a rectangular
prism? (E)
9. How can you find the volume of
a rectangular prism using a
formula? (E)
10. How do you find the volume of
an irregular solid? (I)
(volume of non-overlapping
figures only)
4.
How do you convert customary
units of length to another? (E)
5. How do you convert units of
capacity to another? (E)
6. How do you convert between
customary units of weight? (E)
7. How do you convert metric
units of length? (E)
8. How do you convert metric
units of capacity? (E)
9. How do you convert between
metric units of mass? (E)
(conversions not immediately
above or below a given unit)
1.
2.
3.
4.
5.
6.
How can you organize data in a
line plot? (E)
How can you display the data
and collect in a survey? (E)
How can we organize and
represent measurement data and
create a line plot? (E)
How can we solve problems
involving computation of
fractions from a line plot? (E)
How do you construct various
visual displays to represent data?
(E)
How do you determine an
appropriate title, scale and label
for visual displays? (E)
Optional
Instructional Tools:
Solid figures, Centimeter
cubes, Grid paper, Unit
cubes, Rulers, Yardstick,
Measuring cups
Concept:
Lesson Essential Questions:
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
rectangular prism, volume,
cubic units
data, frequency table, line
plot outlier, sample, survey,
tally table, pictograph, bar
graph, line graph, title, scale,
label
Decision One:
Curriculum Map
Topic: Number and Operations – Fractions
Key Learning(s):
Unit Essential Question(s):
Use equivalent fractions as a strategy
to add and subtract fractions.
Apply and extend previous
understandings of multiplication and
division to multiply and divide fractions.
Concept:
How do you use equivalent fractions as a
strategy to add and subtract fractions?
How do we apply prior knowledge of
multiplication and division to multiply and
divide fractions?
Concept:
Concept:
Adding and Subtracting
Fractions
Adding and Subtracting
Mixed Numbers
Multiplying and Dividing
Fractions and Mixed Numbers
5.NF.1
5.NF.2
5.NF.1
5.NF.2
5.NF.3
5.NF.4.a
5.NF.4.b
5.NF.5.a
5.NF.5.b
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
11. How can you find equivalent
fractions? (I)
12. How can you use models to
write a fraction in simplest form?
(I)
13. How can you estimate the sum
or difference of two fractions
using a number line? (E)
14. How can you find common
multiples of two numbers? (E)
15. How can you find common
denominators for fractions with
unlike denominators? (E)
16. How can you add fractions with
unlike denominators? (E)
17. How can you subtract fractions
with unlike denominators? (E)
18. How can adding and subtracting
fractions help you solve
problems? (E)
10. How can you represent
quantities that are greater than
or equal to 1? (E)
11. How can you use a number
line to round fractions and
mixed numbers to estimate
their sums or differences? (I)
12. How do you use models to add
mixed numbers? (E)
13. How can you add mixed
numbers? (E)
14. How can you subtract mixed
numbers? (E)
15. How can add and subtract
mixed numbers to solve
problems? (E)
7.
8.
9.
10.
11.
12.
13.
14.
15.
Grade: 5
Optional
Instructional Tools:
Fraction Strips, Number
Lines, Hundred Chart,
Fraction Models, Grid
Paper,
Concept:
5.NF.6
5.NF.7.a
5.NF.7.b
5.NF.7.c
How are fractions related to
division? (E)
How can you multiply fractions
and whole numbers? (E)
How can you use compatible
numbers to estimate with
fractions and mixed numbers?(E)
How can you multiply a fraction
by a fraction? (E)
How can you find the area of a
rectangle with fractional side
lengths? (I)
How can you multiply mixed
numbers? (E)
How do you use multiplication to
scale or resize? (E)
How do you divide a whole
number by a fraction? (E)
How can you model dividing a
unit fraction by a whole number?
(E)
Lesson Essential Questions:
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
equivalent fractions,
simplest form, benchmark
fraction, common multiple,
least common multiple
(LCM), common
denominator, least common
denominator (LCD)
improper fraction, mixed
number, proper fraction
resizing, rescaling, reciprocal
Decision One:
Curriculum Map
Topic: Problem Solving
Key Learning(s):
Unit Essential Question(s):
Strong problem solving and reasoning
abilities are essential in developing
conceptual understanding.
Concept:
Look For a Pattern
Lesson Essential Questions:
1-6: Where have you seen or used
number patterns in everyday life?
Grade: 5
What strategies enable us to solve
problems?
Concept:
Concept:
Concept:
Draw a Picture and Write
an Equation
Multi-Step Problems
Reasonableness
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
2-5, 3-9, 4-7, 9-10, 10-7, 11-11: How can
draw a picture to help you choose an
operation?
2-8, 6-7, 7-7, 11-8: How can you solve
problems that require you to use more than
one step?
4-3: How can you check that your answer is
reasonable?
13-7: How do you find hidden questions to
solve multiple-step problems?
Materials:
Optional
Instructional Tools:
Materials:
Problem Solving Recording
Sheet – Tool 1
Materials:
Problem Solving Recording
Sheet – Tool 1
What does it mean for an answer for a problem to
be reasonable?
Materials:
Concept:
Missing and Extra
Information
Lesson Essential Questions:
5-8: How do I identify missing information
in a word problem?
Vocabulary:
Problem Solving Recording
Sheet – Tool 1
Concept:
Concept:
Concept:
Act Out and Use
Reasoning
Writing to Explain
Use Objects and Solve Simpler
Problems
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
8-9: How can you act out a problem and
use reasoning to solve it?
9-3, 14-5: How do you write a math
explanation?
12-3: How can you use a simpler problem to
solve another problem?
Materials:
Color tiles, Problem
Solving Recording Sheet –
Tool 1
Vocabulary/Materials:
Benchmark fraction
Reading Time – Teaching
Tool 36
Materials:
Centimeter cubes
Use Objects and Reasoning
Lesson Essential Questions:
12-7: How can you use objects to solve
problems?
Materials:
Unit cubes, Problem Solving
Recording Sheet – Tool 1
Use and Test
Generalizations
Solve a Simpler Problem
Work Backwards
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
15-6: How can you test generalizations?
16-3: What operation is needed to solve a
problem?
16-6: How can you work backwards to solve a
problem?
Vocabulary/Materials:
Materials:
Materials:
Generalization
Other Information:
Introduce/review each problem solving strategy using the topic lesson indicated.
After that, in future lessons, students should then consider each additional strategy as a possible way to solve a problem.
Decision One:
Curriculum Map
Topic: Number and Operations in Base Ten
Key Learning(s):
Place Value
5.NBT.1
5.NBT.3
5.NBT.3.a
5.NBT.3.b
Lesson Essential Questions:
19. How can you read and write
large whole numbers to the
billions? (E)
20. How can you read and write a
fraction as a decimal to the
thousandths? (E)
21. How can a fraction showing
thousandths be expressed as a
decimal? (I)
22. How can you represent a
decimal in the place value
chart? (E)
23. How can you compare and order
decimals to the thousandths?
(E)
Optional
Instructional Tools:
Unit Essential Question(s):
Understand the place value system.
Perform operations with multi-digit
whole numbers and with decimals to
hundredths.
Concept:
Grade: 5
How do you understand the place value
system and perform operations with multidigit whole numbers and decimals to
hundredths?
Fraction Strips, Base Ten
Blocks, Place-Value Chart,
Counters, Grid Paper,
Money, Dice
Concept:
Concept:
Concept:
Adding and Subtracting
Decimals
Multiplying Whole Numbers
Dividing by 1-Digit Divisors
5.NBT.2
5.NBT.5
5.NBT.6
5.NBT.6
Lesson Essential Question
Lesson Essential Questions:
5.NBT.4
5.NBT.7
Lesson Essential Questions:
16. How can you use mental math
to find sums and differences of
decimals to hundredths? (I)
17. How can you round whole
numbers and decimals to any
place value position? (E)
18. How can you estimate to find
sums and differences of
decimals to any place value
position? (E)
19. How can you use grid models
to add and subtract decimals?
(I)
20. How can you add decimals to
hundredths? (E)
21. How can you subtract
decimals to hundredths? (E)
16. What are the properties of
multiplication? (I)
17. How can you use mental math to
multiply multiples of 10, 100, or
1,000? (I)
18. How can you estimate products?
(E)
19. How can you use exponents to
represent repeated multiplication
of the same number? (I)
20. How can you use the Distributive
Property to write two equal
expressions? (I)
21. How do you multiply by 1-digit
numbers? (E)
22. How do you multiply by 2-digit
numbers? (E)
23. How can you multiply 3-digit
numbers by numbers up to 3digits? (E)
1.
2.
3.
4.
5.
How can you use mental math to divide
multiples of 10 and 100? (E)
How can you use compatible numbers
to estimate quotients with up to 4-digit
dividends? (E)
How can you use models and symbols
for division of a 3-digit number by a 1digit number? (E)
How do you find quotients of whole
numbers with up to 4-digit dividends
and 1-digit divisors? (E)
When do you write a zero in the
quotient? (E)
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
digits, value, standard form,
expanded form, word form,
equivalent decimals
Commutative Property,
Associative Property,
compensation, compatible
numbers, rounding
Commutative Property of
Multiplication, Associative
Property of Multiplication,
Identity Property of
Multiplication, Zero Property
of Multiplication, Distributive
Property, factors, multiple,
overestimate, underestimate,
partial product, base,
exponent, power,
exponential notation,
expanded form, standard
form, squared, cubed
Dividend, divisor, quotient
Other Information:
Reference “Teaching Tools” for a resource in enVISION.
Always reference and use the MATH PRACTICE STANDARDS which accompany each lesson.
Refer to the Problem Solving map that identifies when to teach each problem solving strategy lesson with this topic.
Decision One:
Curriculum Map
Topic: Number and Operations in Base Ten
Key Learning(s):
Unit Essential Question(s):
Understand the place value system.
Perform operations with multi-digit
whole numbers and with decimals to
hundredths.
Concept:
How do you understand the place value
system and perform operations with multidigit whole numbers and decimals to
hundredths?
Concept:
Concept:
Dividing by 2-Digit Divisors
Multiplying Decimals
Dividing Decimals
5.NBT.6
5.NBT.2
5.NBT.7
5.NBT.2
5.NBT.7
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
24. How can patterns help you
divide large multiples of 10?
25. How can you use compatible
numbers to estimate quotients
(with up to 4-digit dividends and
2-digit divisors)? (E)
26. How can you use arrays to
model multi-digit division? (I)
27. How do you divide by a 2-digit
multiple of 10? (E)
28. What are the steps for dividing
by 2-digit numbers with up to 4digit dividends? (E)
29. How can you divide large
numbers with up to 4-digit
dividends? (E)
30. How can you solve problems
involving division of larger
numbers? (E)
22. What is the rule for multiplying
decimals by 101, 102, 103 ? (E)
23. What are some ways to
estimate products with
decimals to hundredths? (E)
24. How do you use estimation
and place value to multiply
decimals? (I)
25. How can you multiply whole
numbers and decimals up to
hundredths? (E)
26. How can you multiply a
decimal to the hundredths by a
whole number? (E)
27. How can you multiply two
decimals to hundredths with
each other? (E)
Grade: 5
Optional
Instructional Tools:
Grid Paper, Calculator
Concept:
Lesson Essential Questions:
24. How can you divide decimals by
10, 100, and 1,000? (E)
25. How do you estimate quotients
when dividing with decimals? (E)
26. How can you use reasoning to
correctly place the decimal point
in the quotient? (E)
27. How can you divide a decimal to
the hundredth by a whole
number? (I)
28. How do you divide a decimal by
another decimal? (I)
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Decision One:
Curriculum Map
Topic: Operations and Algebraic Thinking
Key Learning(s):
Unit Essential Question(s):
Write and interpret numerical
expressions.
Analyze patterns and relationships.
How do you write and interpret numerical
expressions?
Grade: 5
Optional
Instructional Tools:
Base Ten Blocks, Counters
How can you analyze patterns and
relationships?
Concept:
Concept:
Concept:
Concept:
Lesson Essential Questions:
Lesson Essential Question
Lesson Essential Questions:
Numerical Expressions,
Patterns, and Relationships
5.OA.1
5.OA.2
5.OA.3
Lesson Essential Questions:
1. How can you write an algebraic
expression with variables? (E)
2. How can you evaluate a
numerical expression containing
more than one operation and
grouping symbols? (E)
3. What order should you use
when you simplify an
expression? (E)
4. How can you use the order of
operations to evaluate
expressions with decimals? (E)
5. How can you find a rule and
write an addition and subtraction
expression? (E)
6. How can you find a rule and
write a multiplication and
division expression? (E)
7. How can you find the rule
between two sequences of
numbers? (E)
8. How can you translate word
phrases into expressions? (E)
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
Imperative to use exact vocabulary.
variable, algebraic
expression, corresponding,
sequence, term, order of
operations
Decision One:
Curriculum Map
Topic: Step-Up to Grade 6
Key Learning(s):
Optional
Instructional Tools:
Unit Essential Question(s):
Students preview important content
from sixth grade to prepare for the next
school year.
Concept:
Grade: 5
How can I prepare myself for sixth grade
math?
Concept:
Concept:
Concept:
Ratios
Multiplying Decimals
Greatest Common Factor
6.RP.1
6.RP.2
6.RP.3a
6.RP.3b
6.NS.3
6.NS.4
Using Expressions to Describe
Patterns/Properties of
Operations
6.EE.2
6.EE.3
Lesson Essential Questions:
1.
2.
3.
4.
5.
6.
How do you compare quantities
in a mathematical way?
What are the special types of
ratios and how do we describe
them?
How do you find equal ratios?
How can you decide whether
two ratios form a proportion?
How can you use ratio tables to
solve a proportion?
How can you use unit rates and
prices to compare?
Vocabulary:
ratio, terms, rate, unit rate,
proportion
Lesson Essential Questions:
1.
2.
When do you insert zeros in
the product of two decimals?
When do you insert zeros in
the product of a decimal and a
whole number?
Vocabulary:
Lesson Essential Question
1.
2.
How can you find common
factors that are shared by two or
more numbers?
How can you find the greatest
common factor (GCF) of a set of
more than two numbers?
Vocabulary:
greatest common factor
(GCF), common factor
Lesson Essential Questions:
1.
2.
3.
How do you identify and extend
patterns in an input/output table?
How do you write patterns from the
input/output table as an algebraic
expression?
How can you use properties of
operations to rewrite expressions?
Vocabulary:
input/output table, Commutative
Property of Addition,
Commutative Property of
Multiplication, Associative
Property of Addition, Associative
Property of Multiplication,
Identity Property of Addition,
Identity Property of Multiplication
Concept:
Surface Area
6.G.4
Lesson Essential Questions:
1.
How can you find the surface area of a
rectangular prism?
Vocabulary:
Other Information:
Reference “Teaching Tools” for a resource in enVISION. Always reference and use the math practice standards which
accompany each lesson