GTPS Curriculum – 3rd Grade Math
Suggested Blocks of
Instruction:
8 days /September
Topic: Topic 1- Understand Multiplication and Division of Whole Numbers
Objectives/CPI’s/Standards
Essential Question
Represent and solve problems
involving multiplication and
division.
3.OA.A.1 Interpret products of
whole numbers.
3.OA.A.2 Interpret whole-number
quotients of whole numbers.
3.OA.A.3 Use multiplication and
division within 100 to solve word
problems in situations involving
equal groups, arrays, and
measurement quantities.
Understand properties of
multiplication and the
relationship between
multiplication and division.
3.OA.B.5 Apply properties of
operations as strategies to multiply
and divide.

Materials/Assessment
Materials: enVision Math 2.0
What are different meanings of multiplication
and division?
1.1 Multiplication as Repeated Addition
1.2 Multiplication on the Number Line
1.3 Arrays and Multiplication
1.4 The Commutative Property
1.5 Division as Sharing
1.6 Division as Repeated Subtraction
1.7 Use Appropriate Tools
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of
Instruction:
7 days /September -October
Topic: Topic 2-Multiplication Facts: Use Patterns
Objectives /
CPI’s/Standards
Essential Question
Represent and solve
problems involving
multiplication and division.
3.OA.A.3 Use multiplication and
division within 100 to solve word
problems in situations involving
equal groups, arrays, and
measurement quantities.
Understand properties of
multiplication and the
relationship between
multiplication and division
3.OA.B.5 Apply properties of
operations as strategies to multiply
and divide.

Materials/Assessment
Materials: enVision Math 2.0
How can unknown multiplication facts be found using
patterns and properties?
2.1 2 and 5 As Factors
2.2 9 As a Factor
2.3 Apply Properties: Multiply by 0 and 1
2.4 Multiply By 10
2.5 Multiplication Facts: 0, 1, 5, 9, and 10
2.6 Model With Math
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of
Instruction:
9 days /October
Objectives/CPI’s/Standards
Understand properties of
multiplication and the
relationship between
multiplication and division.
3.OA.B.5 Apply properties of
operations as strategies to multiply and
divide.
Topic: Topic 3- Apply Properties: Multiplication Facts for 3, 4, 6, 7, 8
Essential Question

Materials/Assessment
Materials: enVision Math 2.0
How can unknown multiplication facts be found
using known fact?
3.1 The Distributive Property
3.2 Apply Properties: 3 As a Factor
3.3 Apply Properties: 4 As a Factor
3.4 Apply Properties: 6 and 7 As Factors
3.5 Apply Properties: 8 As a Factor
3.6 Practice Multiplication Facts
3.7 The Associative Property: Multiply With 3
Factors
3.8 Repeated Reasoning
Web Site Resources: www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of
Instruction:
10 days / October -November
Topic: Topic 4- Use Multiplication to Divide: Division Facts
Objectives/CPI’s/Standards
Essential Question
Understand properties of
multiplication and the relationship
between multiplication and division.
3.OA.B.5 Apply properties of operations as
strategies to multiply and divide
3.OA.B.6 Understand division as an
unknown-factor problem.
Solve problems involving the four
operations, and identify and explain
patterns in arithmetic.
3.OA.D.9 Identify arithmetic patterns
(including patterns in the addition table or
multiplication table), and explain them
using properties of operations.
Represent and solve problems
involving multiplication and
division.
3.OA.A.4 Determine the unknown whole
number in a multiplication or division
equation relating three whole numbers.
3.OA.A.3 Use multiplication and division
within 100 to solve word problems in
situations involving equal groups, arrays,
and measurement quantities.

How can unknown division facts be found using
known multiplication fats?
Materials/Assessment
Materials: enVision Math 2.0
4.1 Relate Multiplication and division
4.2 Use Multiplication to Divide With 2, 3, 4,
and 5
4.3 Use Multiplication to Divide With 6 and 7
4.4 Use Multiplication to Divide With 8 and 9
4.5 Multiplication Patterns: Even and Odd
Numbers
4.6 Division Involving 0 and 1
4.7 Practice Multiplication and Division Facts
4.8 Solve Multiplication and Division
Equations
4.9 Make Sense and Persevere
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
9 days / November
Topic: Topic 5- Fluently Multiply and Divide Within 100
Objectives/CPI’s/Standards
Essential Question
Solve problems involving the four
operations, and identify and explain
patterns in arithmetic.
3.OA.D.9 Identify arithmetic patterns
(including patterns in the addition table
or multiplication table), and explain them
using properties of operations.
Multiply and divide within 100.
3.OA.C.7 Fluently multiply and divide
within 100 using strategies such as the
relationship between multiplication and
division.

What are strategies to solve multiplication and
division facts?
Materials/Assessment
Materials: enVision Math 2.0
5.1 Patterns for Multiplication Facts
5.2 Use a Multiplication Table
5.3 Find Missing Numbers In a Multiplication
Table
5.4 Use Strategies to Multiply
5.5 Solve Word Problems: Multiplication and
Division Facts
5.6 Write Math Stories: Multiplication
5.7 Write Math Stories: Division
5.8 Look For and Use Structure
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
8 days / December
Topic: Topic 6 -Connect Area to Multiplication and Addition
Objectives/CPI’s/Standards
Essential Question
Geometric measurement:
understand concepts of area and
relate area to multiplication and to
addition.
3.MD.C.5a A square with side length 1
unit, called “a unit square”, is said to have
“one square unit” of area, and can be used
to measure area.
3.MD.C.6 Measure areas by counting unit
squares (square cm, square m, square in,
square ft, and improvised units).
3.MD.C.7a Find the area of a rectangle
with whole-number side lengths by tiling
it, and show that the area is the same as
would be found by multiplying the side
lengths.
3.MD.C.7c Use tiling to show in a concrete
case that the area of a rectangle with
whole-number side lengths a and b + c is
the sum of a x b and a x c. Use area
models to represent the distributive
property in mathematical reasoning.
3.MD.C.7d Recognize area as additive.
Find areas of rectilinear figures by
decomposing them into non-overlapping
parts, applying this technique to solve real
word problems.

Materials/Assessment
Materials: enVision Math 2.0
How can area be measured and found?
6.1 Cover Regions
6.2 Area: Nonstandard Units
6.3 Area: Standard Units
6.4 Area of Squares and Rectangles
6.5 Apply Properties: Area and the
Distributive Property
6.6 Apply Properties: Area of Irregular
Shapes
6.7 look For and Use Structure
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
6 days /December
Topic: Topic 7- Represent and Interpret Data
Objectives/CPI’s/Standards
Essential Question
Represent and interpret data.
3.MD.B.3 Draw a scaled picture graph and a
scaled bar graph to represent a data set with
several categories. Solve one- and two-step
“how many more” and “how many less”
problems using information presented in
scaled bar graphs.
Materials/Assessment
Materials: enVision Math 2.0

How can data be represented, interpreted,
and analyzed?
7.1 Read Picture Graphs and Bar Graphs
7.2 Make Picture Graphs
7.3 Make Bar Graphs
7.4 Solve Word Problems Using Information in
Graphs
7.5 Precision
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of
Instruction:
10 days /January
Topic: Topic 8-Using Strategies and Properties to Add and Subtract
Objectives/CPI’s/Standards
Essential Question
Use place value understanding and
properties of operations to
perform multi-digit arithmetic.

3.NBT.A.1 Use place value understanding
to round whole numbers to the nearest
10 or 100
3.NBT.A.2 Fluently add and subtract
within 1000 using strategies and
algorithms based on place value,
properties of operations, and/or the
relationship between addition and
subtraction.
Solve problems involving the four
operations, and identify and
explain patterns in arithmetic.
3.OA.D.9 Identify arithmetic patterns
(including patterns in the addition table
or multiplication table), and explain
them using properties of operations.
Materials/Assessment
Materials: enVision Math 2.0
How can sums and differences be estimated
and found mentally?
8.1 Addition Properties
8.2 Algebra: Addition Patterns
8.3 Round Whole Numbers
8.4 Mental Math: Addition
8.5 Mental Math: Subtraction
8.6 Estimate Sums
8.7 Estimate Differences
8.8 Relate Addition and Subtraction
8.9 Model With Math
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
9 days /January - February
Topic: Topic 9- Fluently Add and Subtract Within 1,000
Objectives/CPI’s/Standards
Essential Question
Use place value understanding and
properties of operations to perform multidigit arithmetic.
3.NBT.A.2 Fluently add and subtract within 1000
using strategies and algorithms based on place
value, properties of operations, and /or the
relationship between addition and subtraction.
Materials/Assessment
Materials: enVision Math 2.0

What are standard procedures for adding and
subtracting whole numbers?
9.1 Use Partial Sums to Add
9.2 Add 3-Digit Numbers
9.3 Continue to Add 3-Digit Numbers
9.4 Add 3 or More Numbers
9.5 Use Partial Differences to Subtract
9.6 Subtract 3-Digit Numbers
9.7 Continue to Subtract 3-Digit
Numbers
9.8 Construct Arguments
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
5 days /February
Objectives/CPI’s/Standards
Use place value understanding and
properties of operations to perform multidigit arithmetic.
3.NBT.A.3 Multiply one-digit whole numbers by
multiplies of 10 in the range 10-90 using strategies
based on place value and properties of operations.
Topic: Topic 10- Multiply By Multiples of 10
Essential Question

Materials/Assessment
Materials: EnVision 2.0
What are ways to multiply by multiples of 10?
10.1 Use An Open Number Line to
Multiply
10.2 Use Properties to Multiply
10.3 Multiply By Multiples of 10
10.4 Look For And Use Structure
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check Master
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
5 days / February
Topic: Topic 11-Use Operations With Whole Numbers to Solve Problems
Objectives/CPI’s/Standards
Essential Question
Solve problems involving the four
operations, and identify and explain
patterns in arithmetic.
3.OA.D.8 Solve two-step word problems
using the four operations. Represent these
problems using equations with a letter
standing for the unknown quantity. Assess
the reasonableness of answers using mental
computation and estimation strategies
including rounding.
Materials/Assessment
Materials: enVision Math 2.0

What are ways to solve two-step problems?
11.1 Solve 2-Step Word Problems: Addition and
Subtraction
11.2 Solve 2-Step Word Problems:
Multiplication and Division
11.3 Solve 2-Step Word Problems: All
Operations
11.4 Critique Reasoning
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
9 days / March
Topic: Topic 12-Understand Fractions As Numbers
Objectives/CPI’s/Standards
Essential Question
Develop understanding of fractions as numbers.
3.NF.A.1 Understand a fraction 1/b as the quantity formed
by 1 part when a whole is partitioned into b equal parts;
understand a fraction a/b as the quantity formed by a
parts of size 1/b.
3.NF.A.2a Represent a fraction 1/b on a number line
diagram by defining the interval from 0 to 1 as the whole
and partitioning it into b equal parts. Recognize that each
part has 1/b and that the endpoint of the part based on 0
locates the number 1/b on the number line.
3.NF.A.2b Represent a fraction a/b on a number line
diagram by marking off a lengths 1/b from 0. Recognize
that the resulting interval has size a/b and that its
endpoint locates the number a/b on the number line.
3.NF.A.3c Express whole numbers as fractions, and
recognize fractions that are equivalent to whole numbers.
Represent and interpret data.
3.MD.B.4 Generate measurement data by measuring
lengths using rulers marked with halves and fourths of an
inch. Show the data by making a line plot, where the
horizontal scale is marked off in appropriate units - whole
numbers, halves, or quarters.
Learning Activities /
Materials/Assessment
Materials: enVision Math 2.0

What are different
interpretations of a
fraction?
12.1 Divide Regions Into Equal Parts
12.2 Fractions and Regions
12.3 Understand the Whole
12.4 Number Line: Fractions Less Than 1
12.5 Number Line: Fractions Greater Than 1
12.6 Line Plots and Length
12.7 More Line Plots and Length
12.8 Make Sense and Persevere
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check Master
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
9 days /March/April
Topic: Topic 13-Fraction Equivalence and Comparison
Objectives/CPI’s/Standards
Essential Question
Develop understanding of fractions
as numbers.
3.NF.A.3a Understand two fractions as
equivalent (equal) if they are the same
size, or the same point on a number line.
3.NF.A.3b Recognize and generate simple
equivalent fractions. Explain why the
fractions are equivalent.
3.NF.A.3c Express whole numbers as
fractions, and recognize fractions that are
equivalent to whole numbers.
3.NF.A.3d Compare two fractions with the
same numerator or the same denominator
by reasoning about their size. Recognize
that comparisons are valid only when the
two fractions refer to the same whole.
Record the results of comparisons with
the symbols >, =,or < and justify the
conclusions.
Materials/Assessment
Materials: enVision Math 2.0

What are different ways to compare
fractions?
13.1 Equivalent Fractions: Use Models
13.2 Equivalent Fractions: Use the Number Line
13.3 Use Models to Compare Fractions: Same
Denominator
13.4 Use Models to Compare Fractions: Same
Numerator
13.5 Compare Fractions: Use Benchmarks
13-6 Compare Fractions: Use the Number Line
13-7 Whole Numbers and Fractions
13-8 Construct Arguments
Web Site Resources: www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
10 days /April - May
Topic: Topic 14-Solve Time, Capacity, and Mass Problems
Objectives/CPI’s/Standards
Essential Question
Solve problems involving measurement and
estimation of intervals of time, liquid volumes,
and masses of objects.
3.MD.A.1 Tell and write time to the nearest minute and
measure time intervals in minutes. Solve word problems
involving addition and subtraction of time intervals in
minutes.
3.MD.A.2 Measure and estimate liquid volumes and
masses of objects using standard units of grams (g),
kilograms (kg), and liters (l). Add, subtract, multiply, or
divide to solve one-step word problems involving masses
or volumes that are given in the same units.

Materials/Assessment
Materials: enVision Math 2.0
How can time, capacity and mass be
measured and found?
14.1 Time to the Minute
14.2 Units of Time: Measure Elapsed
Time
14.3 Units of Time: Solve Word
Problems
14.4 Estimated Liquid Volume
14.5 Measured Liquid Volume
14.6 Estimate Mass
14.7 Measure Mass
14.8 Solve Word Problems Involving
Mass and Liquid Volume
14.9 Reasoning
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance
assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
5 days /May
Topic: Topic 15-Attributes of Two-Dimensional Shapes
Objectives/CPI’s/Standards
Essential Question
Reason with shapes and their
attributes
3.G.A.1 Understand that shapes in
different categories may share attributes
and that the shared attributes can define a
larger category. Recognize rhombuses,
rectangles, and squares as examples of
quadrilaterals, and draw examples of
quadrilaterals that do not belong to any of
these subcategories.

Materials/Assessment
Materials: enVision Math 2.0
How can two-dimensional shapes be
described, analyzed, and classified?
15.1 Describe Quadrilaterals
15.2 Classify Shapes
15.3 Analyze and Compare Quadrilaterals
15.4 Precision
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment
GTPS Curriculum – 3rd Grade Math
Suggested Blocks of Instruction:
8 days / May
Topic: Topic 16-Solve Perimeter Problems
Objectives/CPI’s/Standards
Essential Question
Geometric measurement: recognize
perimeter
3.MD.D.8 Solve real world and mathematical
problems involving perimeters of polygons,
including finding the perimeter given the side
lengths, finding an unknown side length, and
exhibiting rectangles with the same perimeter
and different areas or with the same area and
different perimeters.

Materials/Assessment
Materials: enVision Math 2.0
How can perimeter be
measured and found?
16.1 Understand Perimeter
16.2 Perimeter of Common Shapes
16.3 Perimeter and Unknown Side Lengths
16.4 Same Perimeter, Different Area
16.5 Same Area, Different Perimeter
16.6 Reasoning
Web Site Resources:
www.pearsonrealize.com
Assessments:
Formative
 Teacher observation
 Daily Quick Check
Summative
 Topic Test
 End of module performance assessment
 Portfolio assessment