Sprints for all
Grade 3
Modules
New York State Common Core
3
GRADE
Mathematics Curriculum
Table of Contents
SPRINTS
GRADE 3 • MODULE 1
GRADE 3 • MODULE 1
Properties of Multiplication and Division and Solving
Problems with Units of 2–5 and 10
Module Overview ........................................................................................................... i
Topic A: Multiplication and the Meaning of the Factors.......................................... 1.A.1
Topic B: Division as an Unknown Factor Problem ................................................... 1.B.1
Topic C: Analyze Arrays to Multiply Using Units of 2 and 3 ..................................... 1.C.1
Topic D: Division Using Units of 2 and 3 ................................................................. .1.D.1
Topic E: Multiplication and Division Using Units of 4 .............................................. 1.E.1
Topic F: Distributive Property and Problem Solving Using Units of 2–5 and 10 ....... 1.F.1
Module Assessments .............................................................................................. 1.S.1
SPRINTS
Module 1:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Properties of Multiplication and Division and Solving Problems
with Units of 2–5 and 10
6/26/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
i
Lesson 2 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Relate multiplication to the array model.
5/6/13
1
1.A.21
NYS COMMON CORE MATHEMATICS CURRICULUMNYS COMMON
CORE MATHEMATICS CURRICULUM
Lesson 2:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Relate multiplication to the array model.
5/6/13
2
Lesson 2 Sprint 3•1
3•1
1.A.22
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Interpret the meaning of factors─the size of the group or
the number of groups.
5/6/13
3
Lesson 3 Sprint 3•1
1.A.34
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Interpret the meaning of factors─the size of the group or
the number of groups.
5/6/13
4
Lesson 3 Sprint 3•1
1.A.35
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 4 Sprint 3•1
Understand the meaning of the unknown as the size of the group
in division.
5/6/13
5
1.B.9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 4 Sprint 3•1
Understand the meaning of the unknown as the size of the group
in division.
5/6/13
6
1.B.10
Quality Control Guide
Lesson 9 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 9:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Find related multiplication facts by adding and subtracting equal
groups in array models.
5/6/13
7
1.C.30
Lesson 10 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 10:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Model the distributive property with arrays to decompose units as a
strategy to multiply.
5/6/13
8
1.C.42
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 11 Sprint 3•1
Multiply.
Lesson 11:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Model division as the unknown factor in multiplication using arrays
and tape diagrams.
5/6/13
9
1.D.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12 Sprint 3
Multiply.
Lesson 12:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Interpret the quotient as the number of groups or the number of
objects in each group using units of 2.
5/6/13
10
1.D.20
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 13:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 13 Sprint 3
Interpret the quotient as the number of groups or the number
of objects in each group using units of 3.
5/6/13
11
1.D.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 13:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 13 Sprint 3
Interpret the quotient as the number of groups or the number
of objects in each group using units of 3.
5/6/13
12
1.D.32
Lesson 14 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
A
# Correct _____
Solve.
1
2x3=
23
__ x 3 = 10
2
3x3=
24
__ x 3 = 6
3
4x3=
25
__ x 3 = 9
4
5x3=
26
30 ÷ 3 =
5
1x3=
27
15 ÷ 3 =
6
6÷3=
28
3÷3=
7
9÷3=
29
6÷3=
8
15 ÷ 3 =
30
9÷3=
9
3÷3=
31
__ x 3 = 18
10
12 ÷ 3 =
32
__ x 3 = 21
11
6x3=
33
__ x 3 = 27
12
7x3=
34
__ x 3 = 24
13
8x3=
35
21 ÷ 3 =
14
9x3=
36
27 ÷ 3 =
15
10 x 3 =
37
18 ÷ 3 =
16
24 ÷ 3 =
38
24 ÷ 3 =
17
21 ÷ 3 =
39
11 x 3 =
18
27 ÷ 3 =
40
33 ÷ 3 =
19
18 ÷ 3 =
41
12 x 3 =
20
30 ÷ 3 =
42
36 ÷ 3 =
21
__ x 3 = 15
43
13 x 3 =
22
__ x 3 = 3
44
39 ÷ 3 =
© Bill Davidson
Lesson 14:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Skip-Count objects in models to build fluency with multiplication
facts using units of 4.
5/6/13
13
1.E.7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 14 Sprint 3•1
Skip-Count objects in models to build fluency with multiplication
facts using units of 4.
5/6/13
14
1.E.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 15 Sprint 3
Multiply.
Lesson 15:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Relate arrays to tape diagrams to model the commutative property
of multiplication.
5/6/13
15
1.E.19
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16 Sprint 3•1
Multiply.
Lesson 16:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Use the distributive property as a strategy find related multiplication
facts.
5/6/13
16
1.E.30
Lesson 17 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Model the relationship between multiplication and division.
5/6/13
17
1.E.40
Lesson 17 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Model the relationship between multiplication and division.
5/6/13
18
1.E.41
Lesson 18 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 18:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Apply the distributive property to decompose units.
5/6/13
19
1.F.7
Lesson 18 Sprint 3•1
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 18:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Apply the distributive property to decompose units.
5/6/13
20
1.F.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 20 Sprint 3
Solve two-step word problems involving multiplication and division
and assess the reasonableness of answers.
5/6/13
21
1.F.30
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 20 Sprint 3
Solve two-step word problems involving multiplication and division
and assess the reasonableness of answers.
5/6/13
22
1.F.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 21 Sprint 3
Multiply.
Lesson 21:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Solve two-step word problems involving all four operations and
assess the reasonableness of answers.
5/6/13
23
1.F.42
New York State Common Core
3
GRADE
Mathematics Curriculum
SPRINTS
GRADE 3 • MODULE 2
Table of Contents
GRADE 3 • MODULE 2
Place Value and Problem Solving with Units of Measure
Module Overview ......................................................................................................... i
Topic A: Time Measurement and Problem Solving ...............................................2.A.1
Topic B: Measuring Weight and Liquid Volume in Metric Units ............................ 2.B.1
Topic C: Rounding to the Nearest Ten and Hundred ......................................................2.C.1
Topic D: Two- and Three-Digit Measurement Addition Using
the Standard Algorithm ......................................................................................... 2.D.1
Topic E: Two- and Three-Digit Measurement Subtraction Using
the Standard Algorithm ........................................................................... 2.E.1
Module Assessments ............................................................................................ 2.S.1
SPRINTS
Module 2:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Place Value and Problem Solving with Units of Measure
8/5/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
i
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14 Sprint
Write the number that is halfway between the two numbers.
Lesson 14:
Date:
1
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Round to the nearest hundred on the vertical number line.
7/4/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.C.29
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14 Sprint
Write the number that is halfway between the two numbers.
Lesson 14:
Date:
2
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Round to the nearest hundred on the vertical number line.
7/4/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.C.30
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
3
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 17 Sprint 3
Estimate sums by rounding and apply to solve measurement word
problems.
7/5/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.D.33
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
4
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 17 Sprint 3
Estimate sums by rounding and apply to solve measurement word
problems.
7/5/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.D.34
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
5
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 20 Sprint 3
Estimate differences by rounding and apply to solve measurement
word problems.
7/5/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.E.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
6
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 20 Sprint 3
Estimate differences by rounding and apply to solve measurement
word problems.
7/5/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
2.E.32
New York State Common Core
3
GRADE
Mathematics Curriculum
SPRINTS
GRADE 3 • MODULE 3
Table of Contents
GRADE 3 • MODULE 3
Multiplication and Division with Units of 0, 1, 6–9, and
Multiples of 10
Module Overview ......................................................................................................... i
Topic A: The Properties of Multiplication and Division ..........................................3.A.1
Topic B: Multiplication and Division Using Units of 6 and 7 ................................... 3.B.1
Topic C: Multiplication and Division Using Units up to 8........................................ 3.C.1
Topic D: Multiplication and Division Using Units of 9 ........................................... .3.D.1
Topic E: Analysis of Patterns and Problem Solving Including Units of 0 and 1 ....... 3.E.1
Topic F: Multiplication of Single-Digit Factors and Multiples of 10 ........................ 3.F.1
Module Assessments ............................................................................................ 3.S.1
SPRINTS
Module 3:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Multiplication and Division with Units of 0, 1, 6–9, and
Multiples of 10
7/31/13
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i
Lesson 1 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 1:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Study commutativity to find known facts of 6, 7, 8, and 9.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.A.8
1
Lesson 1 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 1:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Study commutativity to find known facts of 6, 7, 8, and 9.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.A.9
2
Lesson 2 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply the distributive and commutative properties to relate
multiplication facts 5 x n + n to 6 x n and n x 6 where n is the
size of the unit.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.A.19
3
Lesson 2 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply the distributive and commutative properties to relate
multiplication facts 5 x n + n to 6 x n and n x 6 where n is the
size of the unit.
7/31/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.A.20
4
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 5 Pattern Sheet 3
Multiply.
Lesson 5:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Count by units of 7 to multiply and divide using number bonds to
decompose.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.B.19
5
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 6 Pattern Sheet 3•3
Multiply.
Lesson 6:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Use the distributive property as a strategy to multiply and divide
using units of 6 and 7.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.B.31
6
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 7 Pattern Sheet 3
Multiply.
Lesson 7:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Interpret the unknown in multiplication and division to model and
solve problems using units of 6 and 7.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.B.41
7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 8 Pattern Sheet 3•3
Multiply.
Lesson 8:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Understand the function of parenthesis and apply to solving
problems.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.C.8
8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 11 Pattern Sheet 3
Multiply.
Lesson 11:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Interpret the unknown in multiplication and division to model and
solve problems.
7/31/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.C.41
9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12 Pattern Sheet 3•3
Multiply.
Lesson 12:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply the distributive property and the fact 9 = 10 – 1 as a strategy
to multiply.
7/31/13
10
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3.D.8
Lesson 13 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 13:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Identify and use arithmetic patterns to multiply.
7/31/13
11
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3.D.21
Lesson 13 Sprint 3•3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 13:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Identify and use arithmetic patterns to multiply.
7/31/13
12
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3.D.22
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14 Pattern Sheet 3•3
Multiply.
Lesson 14:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Identify and use arithmetic patterns to multiply.
7/31/13
13
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3.D.34
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 15 Pattern Sheet 3•3
Multiply.
Lesson 15:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Interpret the unknown in multiplication and division to model and
solve problems.
7/31/13
14
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3.D.41
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 16 Sprint 3•3
Reason about and explain arithmetic patterns using units of 0 and 1
as they relate to multiplication and division.
7/31/13
15
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3.E.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 16 Sprint 3•3
Reason about and explain arithmetic patterns using units of 0 and 1
as they relate to multiplication and division.
7/31/13
16
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.E.9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 18:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 18 Sprint 3•3
Solve two-step word problems involving all four operations and
assess the reasonableness of solutions.
7/31/13
17
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.E.30
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 18:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 18 Sprint 3•3
Solve two-step word problems involving all four operations and
assess the reasonableness of solutions.
7/31/13
18
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.E.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 21:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 21 Sprint 3•3
Solve two-step word problems involving multiplying single-digit
factors and multiples of 10.
7/31/13
19
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3.F.27
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 21:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 21 Sprint 3•3
Solve two-step word problems involving multiplying single-digit
factors and multiples of 10.
7/31/13
20
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
3.F.28
New York State Common Core
3
GRADE
Mathematics Curriculum
SPRINTS
GRADE 3 • MODULE 4
Table of Contents
GRADE 3 • MODULE 4
Multiplication and Area
Module Overview ......................................................................................................... i
Topic A: Foundations for Understanding Area ...................................................... 4.A.1
Topic B: Concepts of Area Measurement ............................................................... 4.B.1
Topic C: Arithmetic Properties Using Area Models................................................. 4.C.1
Topic D: Applications of Area Using Side Lengths of Figures ..................................4.D.1
Module Assessments ............................................................................................. 4.S.1
SPRINTS
Module 4:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Multiplication and Area
10/1/13
i
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NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2 Pattern Sheet 3•4
Multiply.
Lesson 2:
Date:
Decompose and recompose shapes to compare areas.
9/30/13
4.A.18
1
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 8 Pattern Sheet 3
Multiply.
Lesson 8:
Date:
Find the area of a rectangle through multiplication of the side lengths.
9/30/13
4.B.44
2
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12 Pattern Sheet 3
Multiply.
Lesson 12:
Date:
Solve word problems involving area.
9/30/13
4.D.8
3
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14 Pattern Sheet 3
Multiply.
Lesson 14:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Find areas by decomposing into rectangles or completing composite
figures to form rectangles.
10/1/13
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.32
4
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 15 Pattern Sheet 3•4
Multiply.
Lesson 15:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply knowledge of area to determine areas of rooms in a given floor
plan.
9/30/13
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4.D.43
5
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16 Pattern Sheet 3•4
Multiply.
Lesson 16:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Apply knowledge of area to determine areas of rooms in a given floor
plan.
9/30/13
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
4.D.53
6
New York State Common Core
3
GRADE
Mathematics Curriculum
SPRINTS
GRADE 3 • MODULE 5
Table of Contents
GRADE 3 • MODULE 5
Fractions as Numbers on the Number Line
Module Overview ......................................................................................................... i
Topic A: Partitioning a Whole into Equal Parts ...................................................... 5.A.1
Topic B: Unit Fractions and their Relation to the Whole ....................................... 5.B.1
Topic C: Comparing Unit Fractions and Specifying the Whole ............................... 5.C.1
Topic D: Fractions on the Number Line ................................................................. 5.D.1
Topic E: Equivalent Fractions ................................................................................ 5.E.1
Topic F: Comparison, Order, and Size of Fractions ................................................ 5.F.1
Module Assessments ............................................................................................. 5.S.1
SPRINTS
Module 5:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Fractions as Numbers on the Number Line
11/19/13
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i
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 3 Sprint
Specify and Partition a Whole Into Equal Parts, Identifying and
Counting Unit Fractions by Drawing Pictorial Area Models
1/31/13
1
5.A.25
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 3 Sprint
Specify and Partition a Whole Into Equal Parts, Identifying and
Counting Unit Fractions by Drawing Pictorial Area Models
1/31/13
2
5.A.26
Lesson 4 Sprint
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Explore: Represent and Identify Fractional Parts of Different Wholes
2/2/13
3
5.A.35
Lesson 4 Sprint
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 4:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Explore: Represent and Identify Fractional Parts of Different Wholes
2/2/13
4
5.A.36
Lesson 6 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
Name
Date
Lesson 6:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Build Non‐Unit Fractions Less Than One from Unit Fractions
1/31/13
5
5.B.18
Lesson 6 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 6:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Build Non‐Unit Fractions Less Than One from Unit Fractions
1/31/13
6
5.B.19
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 7:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 7 Sprint 3
Identify and Represent Shaded and Non‐Shaded Parts of One Whole
as Fractions
1/31/13
7
5.B.28
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 7:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 7 Sprint 3
Identify and Represent Shaded and Non‐Shaded Parts of One Whole
as Fractions
1/31/13
8
5.B.29
Lesson 8 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
A
# Correct ________
Write the fraction that is shaded.
1
/
23
/
2
/
24
/
3
/
25
/
4
/
26
/
5
/
27
/
6
/
28
/
7
/
29
/
8
/
30
/
9
/
31
/
10
/
32
/
11
/
33
/
12
/
34
/
13
/
35
/
14
/
36
/
15
/
37
/
16
/
38
/
17
/
39
/
18
/
40
/
19
/
41
/
20
/
42
/
21
/
43
/
22
/
44
/
Lesson 8:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Represent Parts of One Whole as Fractions with Number Bonds
1/31/13
9
5.B.39
Lesson 8 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
B
Improvement ________
# Correct ________
Write the fraction that is shaded.
1
/
23
/
2
/
24
/
3
/
25
/
4
/
26
/
5
/
27
/
6
/
28
/
7
/
29
/
8
/
30
/
9
/
31
/
10
/
32
/
11
/
33
/
12
/
34
/
13
/
35
/
14
/
36
/
15
/
37
/
16
/
38
/
17
/
39
/
18
/
40
/
19
/
41
/
20
/
42
/
21
/
43
/
22
/
44
/
Lesson 8:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Represent Parts of One Whole as Fractions with Number Bonds
1/31/13
10
5.B.40
Lesson 9 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
A
# Correct _____
Multiply.
1
8x1=
23
9x8=
2
1x8=
24
3x8=
3
8x2=
25
8x8=
4
2x8=
26
4x8=
5
8x3=
27
7x8=
6
3x8=
28
5x8=
7
8x4=
29
6x8=
8
4x8=
30
8x5=
9
8x5=
31
8 x 10 =
10
5x8=
32
8x1=
11
8x6=
33
8x6=
12
6x8=
34
8x4=
13
8x7=
35
8x9=
14
7x8=
36
8x2=
15
8x8=
37
8x7=
16
8x9=
38
8x3=
17
9x8=
39
8x8=
18
8 x 10 =
40
11 x 8 =
19
10 x 8 =
41
8 x 11 =
20
1x8=
42
12 x 8 =
21
10 x 8 =
43
8 x 12 =
22
2x8=
44
13 x 8 =
© Bill Davidson
Lesson 9:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Build and Write Fractions Greater than One Whole Using Unit
Fractions
1/31/13
11
5.B.51
Lesson 9 Sprint 3
NYS COMMON CORE MATHEMATICS CURRICULUM
B
Improvement _____
# Correct _____
Multiply.
1
1x8=
23
10 x 8 =
2
8x1=
24
9x8=
3
2x8=
25
4x8=
4
8x2=
26
8x8=
5
3x8=
27
8x3=
6
8x3=
28
7x8=
7
4x8=
29
6x8=
8
8x4=
30
8 x 10 =
9
5x8=
31
8x5=
10
8x5=
32
8x6=
11
6x8=
33
8x1=
12
8x6=
34
8x9=
13
7x8=
35
8x4=
14
8x7=
36
8x3=
15
8x8=
37
8x2=
16
9x8=
38
8x7=
17
8x9=
39
8x8=
18
10 x 8 =
40
11 x 8 =
19
8 x 10 =
41
8 x 11 =
20
8x3=
42
12 x 8 =
21
1x8=
43
8 x 12 =
22
2x8=
44
13 x 8 =
© Bill Davidson
Lesson 9:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Build and Write Fractions Greater than One Whole Using Unit
Fractions
1/31/13
12
5.B.52
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 10:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 10 Sprint
Compare Unit Fractions by Reasoning About Their Size Using
Fraction Strips
2/2/13
13
5.C.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 10:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 10 Sprint
Compare Unit Fractions by Reasoning About Their Size Using
Fraction Strips
2/2/13
14
5.C.9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 12 Sprint 3•5
Specify the Corresponding Whole when Presented with One Equal
Part
2/2/13
15
5.C.33
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 12 Sprint 3•5
Specify the Corresponding Whole when Presented with One Equal
Part
2/2/13
16
5.C.34
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 16 Sprint 3•5
Place Whole Number Fractions and Unit Fractions Between Whole
Numbers on the Number Line
2/1/13
17
5.D.27
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 16 Sprint 3•5
Place Whole Number Fractions and Unit Fractions Between Whole
Numbers on the Number Line
2/1/13
18
5.D.28
Lesson 17 Sprint 3•5
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Practice Placing Various Fractions on the Number Line
2/1/13
19
5.D.38
Lesson 17 Sprint 3•5
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 17:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Practice Placing Various Fractions on the Number Line
2/1/13
20
5.D.39
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 19:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 19 Sprint
Optional Lesson: Understand Distance and Position on the
Number Line as Strategies for Comparing Fractions
2/1/13
21
5.D.59
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 19:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 19 Sprint
Optional Lesson: Understand Distance and Position on the
Number Line as Strategies for Comparing Fractions
2/1/13
22
5.D.60
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 20 Sprint 3•5
Recognize and Show that Equivalent Fractions Have the Same
Size, Though Not Necessarily the Same Shape
2/1/13
23
5.E.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2012 Common Core, Inc. All rights reserved. commoncore.org
Lesson 20 Sprint 3•5
Recognize and Show that Equivalent Fractions Have the Same
Size, Though Not Necessarily the Same Shape
2/1/13
24
5.E.9
New York State Common Core
3
GRADE
Mathematics Curriculum
Table of Contents
SPRINTS
GRADE 3 • MODULE 6
GRADE 3 • MODULE 6
Collecting and Displaying Data
Module Overview ......................................................................................................... i
Topic A: Generate and Analyze Categorical Data ................................................... 6.A.1
Topic B: Generate and Analyze Measurement Data ............................................... 6.B.1
Module Assessment ............................................................................................... 6.S.1
SPRINTS
Module 6:
Date:
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
Collecting and Displaying Data
12/6/13
i
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Sprint 3 6
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
Create scaled bar graphs.
12/6/13
6.A.31
1
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 3 Sprint 3 6
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 3:
Date:
Create scaled bar graphs.
12/6/13
6.A.32
2
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 6 Pattern Sheet 3 6
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 6:
Date:
Interpret measurement data from various line plots.
11/19/13
3
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
6.B.22
Lesson 7 Pattern Sheet 3•6
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 7:
Date:
Represent measurement data with line plots.
11/19/13
4
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
6.B.37
Lesson 8 Pattern Sheet 3 6
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 8:
Date:
Represent measurement data with line plots.
11/19/13
5
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
6.B.51
Lesson 9 Pattern Sheet 3 6
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 9:
Date:
Analyze data to problem solve.
12/6/13
6.B.66
6
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
New York State Common Core
3
GRADE
Mathematics Curriculum
SPRINTS
GRADE 3 • MODULE 7
Table of Contents
GRADE 3 • MODULE 7
Geometry and Measurement Word Problems
Module Overview ......................................................................................................... i
Topic A: Solving Word Problems ........................................................................... 7.A.1
Topic B: Attributes of Two-Dimensional Figures .................................................... 7.B.1
Topic C: Problem Solving with Perimeter ............................................................... 7.C.1
Topic D: Recording Perimeter and Area Data on Line Plots ....................................7.D.1
Topic E: Problem Solving with Perimeter and Area ................................................ 7.E.1
Topic F: Year in Review .......................................................................................... 7.F.1
Module Assessments ............................................................................................ 7.S.1
SPRINTS
NOTE: Student sheets should be printed at 100% scale to preserve the intended size of figures for accurate
measurements. Adjust your copier or printer settings to actual size and set page scaling to none.
Module 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Geometry and Measurement Word Problems
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
i
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 1 Pattern Sheet 3•7
Multiply.
Lesson 1:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Solve word problems in varied contexts using a letter to represent the
unknown.
1/29/14
1
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.A.9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 2 Pattern Sheet 3•7
Multiply.
Lesson 2:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Solve word problems in varied contexts using a letter to represent
the unknown.
1/29/14
2
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.A.21
Lesson 4 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 4:
Date:
Compare and classify quadrilaterals.
1/29/14
7.B.9
3
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 5 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 5:
Date:
Compare and classify other polygons.
1/29/14
7.B.23
4
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 7 Pattern Sheet 3•7
Multiply.
Lesson 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Reason about composing and decomposing polygons using
tetrominoes.
1/29/14
5
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7.B.55
Lesson 8 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 8:
Date:
Create a tangram puzzle and observe relationships among the shapes.
1/29/14
6
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.B.72
Lesson 9 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 9:
Date:
Reason about composing and decomposing polygons using tangrams.
1/29/14
7
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.B.83
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 10 Pattern Sheet 3•7
Multiply.
Lesson 10:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Decompose quadrilaterals to understand perimeter as the boundary
of a shape.
1/29/14
8
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7.C.9
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 12 Pattern Sheet 3•7
Multiply.
Lesson 12:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Measure side lengths in whole number units to determine the
perimeter of polygons.
1/29/14
9
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7.C.27
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 13 Pattern Sheet 3 7
Multiply.
Lesson 13:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Explore perimeter as an attribute of plane figures and solve
problems.
1/29/14
10
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7.C.39
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 14 Pattern Sheet 3 7
Multiply.
Lesson 14:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Determine the perimeter of regular polygons and rectangles when
whole number measurements are missing.
1/29/14
11
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7.C.52
Lesson 15 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 15:
Date:
Solve word problems to determine perimeter with given side lengths.
1/29/14
12
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.C.64
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16 Pattern Sheet 3•7
Multiply.
Lesson 16:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Use string to measure the perimeter of various circles to the nearest
quarter inch.
1/29/14
13
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7.C.76
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 20 Sprint 3 7
Construct rectangles with a given perimeter using unit squares and
determine their areas.
1/29/14
14
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7.D.31
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 20:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 20 Sprint 3 7
Construct rectangles with a given perimeter using unit squares and
determine their areas.
1/29/14
15
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.D.32
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 21:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 21 Sprint 3 7
Construct rectangles with a given perimeter using unite square and
determine their areas.
1/29/14
16
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.D.43
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 21:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 21 Sprint 3 7
Construct rectangles with a given perimeter using unite square and
determine their areas.
1/29/14
17
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.D.44
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 22 Sprint 3 7
Use a line plot to record the number of rectangles constructed in
Lessons 20 and 21.
1/29/14
18
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7.D.57
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 22 Sprint 3 7
Multiply.
Lesson 22:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Use a line plot to record the number of rectangles constructed in
Lessons 20 and 21.
1/29/14
19
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.D.58
Lesson 23 Sprint 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 23:
Date:
Solve a variety of word problems with perimeter.
1/29/14
20
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.7
Lesson 23 Sprint 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 23:
Date:
Solve a variety of word problems with perimeter.
1/29/14
21
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.8
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 24 Pattern Sheet 3 7
Multiply.
Lesson 24:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Use rectangles to draw a robot with specified perimeter
measurements, and reason about the different areas that may be
produced.
22
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.18
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 25:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 25 Sprint 3 7
Use rectangles to draw a robot with specified perimeter
measurements, and reason about the different areas that may be
produced.
23
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.27
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 25:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 25 Sprint 3 7
Use rectangles to draw a robot with specified perimeter
measurements, and reason about the different areas that may be
produced.
24
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.28
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 26 Pattern Sheet 3•7
Multiply.
Lesson 26:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Use rectangles to draw a robot with specified perimeter measurements,
and reason about the different areas that may be produced.
1/29/14
25
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.39
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 27:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 27 Sprint 3 7
Use rectangles to draw a robot with specified perimeter
measurements, and reason about the different areas that may be
produced.
26
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.50
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 27:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 27 Sprint 3 7
Use rectangles to draw a robot with specified perimeter
measurements, and reason about the different areas that may be
produced.
27
1/29/14
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.51
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 28 Pattern Sheet 3•7
Multiply.
Lesson 28:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Solve a variety of word problems involving area and perimeter using
all four operations.
1/29/14
28
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.65
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 29:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Lesson 29 Sprint 3•7
Solve a variety of word problems involving area and perimeter using
all four operations.
1/29/14
29
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.E.77
Lesson 30 Pattern Sheet 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiply.
Lesson 30:
Date:
Share and critique peer strategies for problem solving.
1/29/14
30
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
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7.E.88
Lesson 31 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 31:
Date:
Explore and create unconventional representations of one-half.
1/29/14
31
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7.F.7
Lesson 31 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 31:
Date:
Explore and create unconventional representations of one-half.
1/29/14
32
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.F.8
Lesson 32 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32:
Date:
Explore and create unconventional representations of one-half.
1/29/14
33
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.F.18
Lesson 32 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32:
Date:
Explore and create unconventional representations of one-half.
1/29/14
34
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.F.19
Lesson 33 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 33:
Date:
Solidify fluency with Grade 3 skills.
1/29/14
7.F.29
35
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 33 Sprint 3 7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 33:
Date:
Solidify fluency with Grade 3 skills.
1/29/14
7.F.30
36
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 33 Fluency Activities 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Multiplication
Equal Groups
Materials: (S) Personal white boards
Materials: (S) Personal white boards
T:
S:
T:
S:
(Draw an array with 3 rows of 2.) Say the
repeated addition sentence.
2 + 2 + 2 = 6.
(Write 3 ____ = ____.) On your personal
board, complete the multiplication
sentence.
(Write 3 2 = 6.)
T:
S:
T:
S:
T:
Repeat using the following ideas: 4 rows of 10, 3
rows of 4, 7 rows of 3, and 8 rows of 2. Or, you can
think of your own.
S:
(Draw a picture with 2 groups of 4 circled.)
Say the total as a repeated addition
sentence.
4 + 4 = 8.
Write a division sentence that means the
number of groups is unknown.
(Write 8 ÷ 4 = 2.)
Below that division sentence write a
division sentence that means the number In
each group is unknown.
(Write 8 ÷ 2 = 4.)
Repeat using the following ideas: 5 groups of 3, 3
groups of 4, and 6 groups of 2. Or, you can think of
your own.
Commutative Multiplying
Tape Diagrams
Materials: (S) Personal white boards
Materials: (S) Personal white boards
T:
S:
T:
S:
(Draw an array with 3 rows of 2 dots.) How
many rows of 2 do you see?
3 rows of 2.
Write four different multiplication
sentences for the picture.
(Write 3 2 = 6, 2 3 = 6, 6 = 3 2, 6 = 2
3.)
T:
S:
T:
S:
T:
Repeat using the following ideas: 3 rows of 5, and 4
rows of 3. Or, you can think of your own.
T:
S:
(Write 4 2 = 2 ___.) On your board, fill
in the blank.
(Write 4 2 = 2 4.)
S:
(Draw a tape diagram with 5 equal units
and 2 stars in the first unit.) What is the
value of each unit?
2 stars.
How many units are there?
5 units.
Write a multiplication sentence for this tape
diagram.
(Write 5 2 = 10.)
Repeat using the following ideas: 4 3 = 12, 8 ÷ 4 =
2, and 15 ÷ 3 = 5. Or, you can think of your own.
Repeat using the following ideas: 9 5 = 5 ___ and
3 6 = 6 ___. Or, you can think of your own.
Lesson 33:
Date:
Solidify fluency with Grade 3 skills.
1/29/14
7.F.34
37
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Lesson 33 Fluency Activities 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Tens
Tens and Hundreds
Materials:
(S) Hide Zero Cards, personal white boards
Materials:
Note: Hide Zero Cards can be made with index cards for
personal practice.
(S) Personal white boards
T:
(Write 9 + __ = 10.) Say the missing number.
S:
1.
T:
(Write 7 tens = ____.) Say the number.
T:
(Write 90 + __ = 100.) Say the missing number.
S:
70.
S:
10.
T:
(Write 91 + __ = 100.) Say the missing number.
S:
9.
T:
(Write 291 + __ = 300.) Say the missing number.
S:
9.
Repeat using the following ideas: 10 tens, 12 tens, 20
tens, 28 tens, 30 tens, and 37 tens. Or, you can think of
your own.
Repeat using the following ideas:
1 + __ = 10, 10 + __ = 100, 11 + __ = 100, 211 + __ = 300,
8 + __ = 10, 80 + __ = 100, 85 + __ = 100, and 385 + __ =
400
Or, you can think of your own.
Hide Zero Cards
Make Twenty-Four Game
Write In the Parentheses
Materials:
Materials:
Set of 6 cards per pair
Note: Students play in pairs. Each pair has a set of 6
cards, each with a number (2, 3, 4, 6, 8, and 12).
T:
(Write ___ ___ = 24.) Spread the cards out in
front of you.
T:
Put your hands behind your back. I’ll put a
number in the first blank. When you know the
number that belongs in the second blank, touch
the card that shows the number. The first one
of us to touch the card keeps it. Whoever has
the most cards at the end wins. (Write 12 in the
first blank.)
S:
(S) Personal white boards
T:
(Write 10 – 5 + 3 = 8.) On your board, copy the
equation. Then, insert parentheses to make the
statement true.
S:
(Write (10 – 5) + 3 = 8.)
Repeat using the following ideas:
10 – 5 + 3 = 2, 10 = 20 – 7 + 3, 16 = 20 – 7 + 3,
8 + 2 4 = 16, 8 + 2 4 = 40, 12 = 12 ÷2 2, 3 = 12 ÷ 2 2,
10 = 35 – 5 5, and 20 – 10 ÷ 5 = 2.
Or, you can think of your own.
(Touch the 2 card. The first to touch it keeps the
card.)
Repeat but this time, you might make 36 with the same
cards plus 9 and 18.
Lesson 33:
Date:
Solidify fluency with Grade 3 skills.
1/29/14
7.F.35
38
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 33 Fluency Activities 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 33:
Date:
Solidify fluency with Grade 3 skills.
1/29/14
7.F.36
39
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 34 Sprint 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 34:
Date:
Create resource booklets to support fluency with Grade 3 skills.
1/29/14
40
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This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.F.42
Lesson 34 Sprint 3•7
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 34:
Date:
Create resource booklets to support fluency with Grade 3 skills.
1/29/14
41
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
7.F.43