Overview

Module 1: Ratios and Proportional Relationships

Students formally define proportional relationships and the constant of proportionality

Topic A: Proportional Relationships

Topic B: Unit Rate and Constant of Proportionality

Topic C: Ratios and Rates Involving Fractions

Topic D: Ratios of Scale Drawings

Advanced Preparation:

- Chart paper for gallery walks
- Laminated tables and coordinate grids
- Dry erase markers
- Calculators
- Fraction tiles
- Ruler

Students build on their understanding of rational numbers to add, subtract, multiply, and divide signed numbers

Topic A: Addition and Subtraction of Integers and Real Numbers

Topic B: Multiplication and Division of Integers and Rational Numbers

- Advanced Preparation:
- Integer Cards
- Two color counters
- Chart paper for gallery walks
- Laminated number line and tape diagrams

Module Tip Sheet for Parents

These documents provide parents an opportunity to see what their children are learning in the current module including:

- Standards
- Key vocabulary
- Example Problems
- Pictorial Models
- Ideas for how to can help children at home
- Coherence of learning with past and future modules

Week 1: September 5

Notes:

Lesson 1 (P)

Students learn the routine of efficiently passing out papers which and you may want to consider re-creating exit ticket as video can be difficult to follow.

Lesson 2 (P)

Advanced materials to consider for Lesson 2 are fraction strips as there may be scaffold considerations for fraction conversions.

Week 2: September 11

Assessment

Biweekly #1

Exit Ticket from Lesson 3

Standards Addressed in Week's Lessons

Topic A

7.RP.2.a

Topic B

7.RP.2.c

Notes:

Lesson 3/4 Combine

Lessons 3 and 4 both have the same Student Outcomes. Lead students through the Example in Lesson 3 and the Example in Lesson 4. Students then complete the Exercises in lesson 4 and Exit Ticket in Lesson 3.

Lesson 5 (E)

If possible, pre-assess students ability to graph on the coordinate plane to ensure success for this and future lessons.

Lesson 6 (E)

Students are introduced to a gallery walk during this lesson. Please ensure routines are set in place for success as well as chart paper and markers.

Lesson 7 (P)

This lesson is heavy on vocabulary. If you haven't yet setup a routines for tracking math vocabulary, this is a great place to start!

Week 3: September 18

Assessment

Mid Module Assessment after lesson 10

Standards Addressed in Week's Lessons

Topic B

7.RP.2.b

7.RP.2.d

Notes:

Lesson 8 (P)

Consider what your re-teach plans will be prior to this week as students derive the constant of proportionality from the description of a real-world context and relate the equation representing the relationship to a corresponding ratio table or graphical representation.

Lesson 9 (P)

By this point, student use of fraction and decimal operations will be necessary and therefore you may consider differentiating numbers used in this lesson's independent practice.

Lesson 10 (P)

This lesson is crucial for student's conceptual understanding of slope in 8th grade.

Standards in Mid or End of Module Assessment

Mid Module Assessment

7.RP.2.a

7.RP.2.b

7.RP.2.c

7.RP.2.d

Week 4: September 25

Notes:

Lesson 11 (P)

Although the bar model and tape diagrams may not be a new concept for students, please pre-assess their understanding prior to lesson 11 to plan for success.

Lesson 12 Omit

Lesson 12 is a continuation of Lesson 11, which provides more options on how to solve unit rate problems and encourages students to share their thinking with the class.

Lesson 13 (P)

In Lesson 13, students can choose a representation that most suits the problem and their comfort levels, such as tape diagrams, ratio tables, or possibly equations and graphs, as they solve these problems.

Lesson 14(P)

The standard of lesson 14, 7.RP.3, is not assessed until Q3 but intertwined with the end of module assessment.

Lesson 15 (P)

This lesson incorporates many concepts as students focus their attention on using equations and graphs to represent proportional relationships involving fractions, reinforcing the process of interpreting the meaning of points on a graph in terms of the situation or context of the problem.

Standards Addressed in Week's Lessons

Topic C

7.RP.1

7.RP.3

Week 5: October 2

Notes:

Lesson 16 (E)

Students are introduced to scale drawings; they determine if the drawing is a reduction or enlargement of a two-dimensional picture which may be a new concept for students.

Lesson 17 (P)

Students learn the term scale factor and recognize it as the constant of proportionality which is a crucial connection to make for the flow of this module.

Lesson 18 (P)

Students compute the actual dimensions of objects shown in pictures given the scale factor which assumes an understanding of use of a ruler.

Lesson 19 (P)

Use students work with conversions from lesson 18 as a pre-assessment for lesson 19 to ensure success with this lesson.

Week 6: October 10

Assessment

End of Module Assessment: Administer after Lesson 22

Biweekly #3 after Lesson 22

Notes:

Lesson 20 (E)

Start collecting furniture magazines early in the year if you would like students to use them in the lesson. If you have the technology, they could also use websites instead.

Lesson 21 Omit

Lesson 21 uses a dream classroom to explain the idea of changing scales. Lesson 22 has the same Student Outcomes as Lesson 21 but provides the same Examples and Exercises for every student, which makes instruction to the whole class possible.

Lesson 22 (E)

Students engage in their own scale factor projects given one scale drawing, to produce a new scale drawing using a different scale.

Standards Addressed in Week's Lessons

Topic D

7.G.1

Standards in Mid or End of Module Assessment

End of Module Assessment

7.RP.A.1

7.RP.A.2c

7.EE.B.4a

7.G.A.1

7.RP.A.3

7.RP.A.2d

Week 7: October 16

Module

Topic

Notes:

Lesson 1 (P)

Students play a card game called the Integer Game to understand how a number and its opposite combine to make zero which can be found on page 13 of the teacher materials document for Module 2.

Lesson 2 (P)

Students more formally develop use vectors to represent integers on the number line and apply the concept of absolute value to deepen their understanding of the addition of integers.

Lesson 3 (P)

This lesson, as well as future lessons, also calls for the use of the integer game so please ensure all materials are still intact.

Lesson 4 (P)

Students are efficiently adding integers using well-defined rules at this point but if scaffold is needed, please see page 56 of the teacher materials.

Standards Addressed in Week's Lessons

Topic A

7.NS.1.a

7.NS.1.b

Week 8: October 23

Module

Topic

Notes:

Lesson 5 (S)

Students relate subtraction to removing a card from their hand in the Integer Game, realizing that subtracting a positive card has the same effect as adding or picking up a negative card.

Lesson 6 (S)

Students deepen their understanding of subtraction using absolute value and the number line to justify that the distance between two signed numbers is the absolute value of their difference.

Lesson 7 (P)

Students represent sums and differences of rational numbers using the number line.

Lesson 8 (P)

Using the properties of operations and their fluency in adding and subtracting decimals and fractions from earlier grades, students rewrite numerical expressions in different forms to efficiently find sums and differences of signed numbers without the use of a calculator.

Standards Addressed in Week's Lessons

Topic A

7.NS.1.b

7.NS.1.c

7.NS.1.d

Week 9: October 30

Notes:

Lesson 9 (P) Omit

Lesson 9 has been omitted as lesson 8 has the same learning outcomes but provides more description and teacher instruction

Lesson 10 (P)

Students relate multiplication to the Integer Game in the lesson.

Lesson 11 (P)

Students draw upon their experiences with the Integer Card Game to justify the rules for multiplication of integers.

Lesson 12 (P)

Students justify that the rules for dividing signed numbers are consistent with that of multiplication, provided the divisor is not zero.