Grade 5 Pacing Guide: Q3 Mathematics

Q1 Guide

Q2 Guide

Q4 Guide

Overview

Week 1 - 2/4

Week 2 - 2/11

Week 3 - 2/18

Week 4 - 2/25

Week 5- 3/4

Week 6 - 3/11

Week 7 - 3/18

Week 8 - 3/25

Week 9 - 4/1

Quarter Overview

Module 4: Multiplication and Division of Fractions and Decimal Fractions

Students learn to multiply fractions and decimal fractions and begin working with fraction

division.

Topic A: Line Plots of Fraction Measurements

Topic B: Fractions as Division

Topic C: Multiplication of a Whole Number by a Fraction

Topic D: Fraction Expressions and Word Problems

Topic E: Multiplication of a Fraction by a Fraction

Topic F: Multiplication with Fractions and Decimals as Scaling and Word Problems

Topic G: Division of Fractions and Decimal Fractions

Topic H: Interpretation of Numerical Expressions

Advanced Preparation:

  • Personal white boards
  • Fraction tiles

Module 3

Topic D

Module 4

Topic A

Topic B

Lesson 16

Lesson 1

Lesson 2

Standards Addressed:

Topic D

5.NF.A.1 (16)

5.NF.A.2 (16)

Topic A

5.MD.2 (1)

Assessment

End of Module 3 Assessment

Standards Assessed:

End of Module

5.NF.A.1

5.NF.A.2

Topic B

5.NF.3 (2, 3, 4)

Weekly Overview

Lesson 16

Tape diagrams continue to be an important tool throughout k-8 learning with Eureka math. Continue to assess student comfort in using these models to perform fraction problems. Emphasizing the "part to whole" language will be important for their understanding of ratios in 6th grade

One day this week is provided for End of Module Assessment

Lesson 1

This lesson builds knowledge for the entire unit. Do entire lesson. During CD and SD, emphasize that when we measure, this is usually an estimate, and is more accurate depending on how precise we are with our unit of measure.

Lesson 2

In CD, emphasize the 2 ways of sharing (using wholes and using equal parts) as well as the relationship between division and fractions. If short on time, do PS 1, 2, 4

Module 4

Topic B

Topic C

Lesson 3

Lesson 5

Lesson 6

Standards Addressed:

Topic B

5.NF.3 (5)

Topic C

5.NF.4a (6, 7, 8)

Assessment

Biweekly 1

Exit Ticket from Lesson 5

This lesson was chosen to give a view into student understanding of topic B before moving forward. It assesses students' ability to apply the learning of the first 5 lessons in a real world problem.

Weekly Overview

Lesson 3

Look for students to start to transition from pictorial to conceptual understanding

Lesson 4 Omit

Omit lesson 4 and use tape diagrams to model fractions as division in lesson 5.

Lesson 5

Note the change in CD, make sure to teach the problem solving protocol, help students reason whether to use diagram or algorithm to solve, especially as they close this topic

Lesson 6

Emphasize the use of tape diagrams to build understanding of multiplying fractions, they will need this understanding in order to do lesson 7, and it also aligns to 6th grade concepts with ratios. Push students to PS #2 to build this understanding

Lesson 7

The use of tape diagrams is important in this lesson and beyond. For students who struggle with fine motor, or to save time, consider using graph paper in the personal white board or a sleeve protector to give a guide while making the tape diagrams. You may also need to provide concrete models, since this lesson requires finding fraction of whole numbers that are not a multiple of the denominator.

Module 4

Topic C

Topic D

Lesson 7

Lesson 8

Lesson 9

Lesson 10

Standards Addressed:

Topic C

5.NF.4a (9)

Topic D

5.NF.4a (12)

5.NF.6 (12)

Weekly Overview

Lesson 8

Consider continuing to use tape diagrams and models to assist students who need extra support. Build understanding between the difference when multiplying with a proper or improper fraction

Lesson 9

Students will use reference sheet from lesson 8

Lesson 10

If short on time, omit lesson 10. This lesson builds 5.OA.1, 2 to include writing expressions with fractions. However, this will not be assessed on A3 or A4

Module 4

Topic D

Topic E

Lesson 11 / 12

Lesson 13

Lesson 14

Standards Addressed:

Topic D

5.NF.4a (12)

5.NF.6 (12)

Topic E

5.NF.4a (13, 14, 15)

5.NF.5b (14)

Assessment

Biweekly 2

Mid-Module Assessment (Given after lesson 12)

Administer the complete Mid-Module assessment. Use problem #6 from the Mid-Module as the data point for the biweekly #2. This problem assess students' ability to apply their learning into a real world problem and explain their thinking.

Standards Assessed:

Mid Module

5.OA.1

5.OA.2

5.NF.3

5.NF.4

5.NF.6

5.MD.1

5.MD.2

Weekly Overview

Lesson 11 & 12 (Combine)

They both use the word problem solving protocol. From lesson 11 include problems 1 and 4 as part of lesson 12. Use problems 4 and 5 on lesson 12 as challenge/extension problems for early finishers. Use exit ticket and problem set from lesson 12.

Lesson 13

Consider using concrete models to assist students if they are having challenges with pictorial models

Lesson 14

If students have solid understanding of lesson 13, consider omitting CD 1&2 for time

One day this week is provided to administer Mid Module assessment.

Note: PARCC dates may effect when the lessons are completed between weeks 5 and 7. Adjust based on your schools PARCC schedule.

Module 4

Topic E

Topic F

Lesson 15

Lesson 16

Lesson 17

Lesson 18

Standards Addressed:

Topic E

5.NF.6 (16, 19)

5.NBT.7 (17, 18)

5.MD.1 (19)

Assessment

PARCC opens (3/4)

Weekly Overview

Lesson 15

If students have good understanding of lesson 14, consider omitting CD 2&3 for time

Lesson 16

There is no AP for this lesson to allow time to teach the new method of using the tape diagram. Students can use PS #1 as the AP

Lessons 17

This lesson build connections back to the work in the first two modules, as well as connecting fractions and decimals. Teach lesson in it's entirety if possible. Work on finding estimates to help students reason the placement of the decimal point.

Lesson 18

This lesson build connections back to the work in the first two modules, as well as connecting fractions and decimals. Teach lesson in it's entirety if possible. Work on finding estimates to help students reason the placement of the decimal point.

Module 4

Topic E

Topic F

Lesson 19

Lesson 20

Lesson 22

Lesson 23

Standards Addressed:

Topic E

5.NF.6 (20)

Topic F

5.NF.5a (21, 22, 23)

5.NF.5b (21, 22, 23)

Assessment

Biweekly #3

Exit ticket from Lesson 19

Weekly Overview

Lesson 20 (P) & 21 (M) Combine

Lessons have same objectives. Prepare for lesson 21 with bags of 5 square tiles per student. Begin lesson 20 with exercise 2 and continue in lesson 21 with the mathematical model exercise. Complete lesson 20 exit ticket.

Lesson 22 (P)

To prepare, have blank sheet of paper ready for each student for folding activity and complete ahead of time as practice.

Lesson 23 (P)

Create anchor chart using the equal or inequality signs with a visual image illustrating the concept that students can refer back to.

Omit Lesson 24 (P)

Lesson 24 has same objective as lesson 23.

Lesson 25 (P)

To prepare, have matching game materials ready.

Module 4

Topic F

Topic G

Lesson 24

Lesson 25

Standards Addressed:

Topic F

5.NF.5a (24)

5.NF.6 (24)

Topic G

5.NF.7a (25)

5.NF.7b (26)

5.NF.7c (27)

Assessment

PARCC CLOSES (3/22)

ANet OPENS (3/17)

Weekly Overview

Lesson 24

This lesson returns to the problem solving protocol, omitting AP

Lesson 25

This lesson builds the conceptual understanding of dividing fractions, so it will be helpful to use the paper models

*Only two lessons due to consideration of PARCC Administration

Module 4

Topic G

Lesson 26

Lesson 27

Lesson 29

Standards Addressed:

Topic G

5.NF.7b (29)

5.NF.7c (28)

5.NF.7 (30, 31)

Standards Assessed:

ANet

Major

5.NF.B.3

5.NF.B.4a

5.NF.B.5a

5.NF.B.5b

5.NF.B.6

5.NF.7a

5.NF.7b

5.NF.7c

Supporting

5.MD.2

Review

5.NBT.5

5.NBT.6

5.NBT.7

5.NF.1

5.NF.2

Weekly Overview

Lesson 26

This lesson pushes students from concrete to pictorial understanding, where appropriate, emphasize the use of modeling

Lesson 27

This lesson returns to PS protocol. Emphasize SMP 3: Constructing viable arguments and critiquing the reasoning of others. Consider projecting student work and using that to build a discussion

Lesson 28 Omit

This lesson is largely review, so it may be omitted or used as a review, using the tape diagrams to deepen understanding

Lesson 29

This lesson is moving from understanding division with fractions to decimal fractions. Emphasize saying the decimals aloud to show the connection between decimals and fractions, and how many tenths and hundredths are in each number, which will help with lesson 30.

Module 4

Topic G

Lesson 30

Lesson 31

Standards Addressed:

Topic G

5.NF.7b (29)

5.NF.7c (28)

5.NF.7 (30, 31)

Standards Assessed:

End of Module

5.OA.1

5.OA.2

5.NBT.7

5.NF.3

5.NF.4

5.NF.5

5.NF.6

5.NF.7

5.MD.1

5.MD.2

Assessment:

End of Module Assessment

Administer after lesson 31

ANet CLOSES (4/4)

Weekly Overview

Lesson 30

For time, consider only doing PS 1 and 2, since word problems will be taught in future lessons

Lesson 31

Consider teaching this lesson over two days. One day emphasize finding estimations of the answers, the second day finding exact answers.

Lessons 32 & 33 Omit

Omit for pacing consideration. If time showcase equivalent expression Problem Set questions during small group time.

One additional day is given to administer  the End of Module Assessment.