7th Grade Math - Unit 1 Shapes and Designs Investigation 1 ......numbers Number lines, TA 1.2A; TA 1.2B, Labsheet 1ACE (ex 9 & 10) 1.3 How can you write a number sentence to represent

Content

StandardsPractices Homework

Sample

Lessons/ActivitiesVocabulary

Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

1.1

What properties do all

polygons share? What

properties do some sub-

groups of polygons

share?

7.G.B.5;

7.G.A.2

1: presevere is

solving problems; 7:

Look for and make

use of structure

ACE problems: 1-4,

37-44, 46, 64-65

Labsheet 1ACE

(exercises 1, 2,

64, 69); Shapes

Set; Teaching Aid

1.1

1.2

What are some

common benchmark

angles? What part of a

full turn is each angle

equal to?

7.G.B.5

1: presevere is


construct viable

arguments and

critique the

reasoning of others

ACE problems: 5-9,

45, 47-48, 66-67

In Student Activities,

grade 7, "Virtual

Polystrips"

degree; right

angle

Teaching Aid

1.2A; Teaching

Aid 1.2B;

Teaching Aid

1.2C; Teaching

Aid 1.2D;

Labsheet 1.2;

Polystrips

1.3

When a drawing shows

two rays with a

common endpoint,

how many rotation

angles are there? How

would you estimate the

measure of each angle?

7.G.B.5

1: presevere is


construct viable

arguments and

critique the

reasoning of others

ACE problems: 10-

18, 29, 49-54

In Student Activites, grade

7, "Bee Dance Activity"

Labsheet 1.3;

Labsheet 1ACE

(exercise 29);

Teaching Aid

1.3A; Teaching

Aid 1.3B

1.4

How do you measure

an angle with an angle

ruler and a protractor?

7.G.B.5

1: presevere is


use appropriate tools

stategically

ACE problems: 19-

28, 30-32, 55-57,

68-69

complementary

angles;

supplementary

angles

Launch video;

Labsheet 1.4;

Labsheet 1ACE

(exercise 30 &

31); angle rulers;

protractors

1.5

In a triangle, what

measures of sides and

angles give just enough

information to draw a

figure that is uniquely

determined?

7.G.A.2

1: presevere is



stategically

ACE problems: 33-

36, 58-63

rulers, angle

rulers, protractors

Focus Questions

7th Grade Math - Unit 1 "Shapes and Designs" Investigation 1 "The Family of Polygons"

Polygons

(classifications);

Angle Measures

(complementary

and

supplementary);

rotations; some

prior experience

with a protractor

and a ruler

Unit Project - "What I

Know About Shapes

and Designs":

introduced prior to

Investigation 1

After Investigation: Mathematical Reflection; Assessment: Check-Up Quiz

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

2.1

What is the size of each

angle and the sum of all

angles in a regular

polygon with n sides?

7.G.B.5; 7.

EE.A.2;

7.EE.B.4

Practice 8: Look for

and express

regularity in

repeated reasoning

Practice 1: Make

sense of problems

and persevere in

solving them.

Ace Questions 1, 2,

16, 17, 18games/bee dance/MARS

regular

polygon,

irregular

polygon

Teaching Aids

2.1A, 2.1B, 2.1C

Lab sheet 2ACE:

Exercise 2 Table,

Lab sheet 2ACE:

Exercise 2

Scaffolded, shape

sets, angle rulers

2.2

What is the size of each

angle and the sum of all

angles in a regular

polygon with n sides?

How do you know that

your formula is

correct?

7.G.B.5; 7.

EE.A.2;

7.EE.B.4

Practice 4: Model

with mathematics

Practice 1: Make

sense of problems

and persevere in

solving them.

Ace Questions 3-

11, 19, 23, 24

Video; Teaching

Aids 2.2A, 2.2B;

Lab sheet 2.2

2.3

Which regular polygons

can be used to tile a

surface without

overlaps or gaps, and

how do you know that

your answer is correct?

7.G.B.5; 7.

EE.A.2;

7.EE.B.4

Practice 1: Make

sense of problems

and persevere in

solving them.

Practice 4: Model

with mathematics

Ace Questions 12,

13, 20

tilings,

tessellations

Video;

Teaching Aid 2.3;

shapes sets, angle

rulers

2.4

What is an exterior

angle of a polygon, and

what do you know

about the measures of

exterior angles?

7.G.B.5; 7.

EE.A.2;

7.EE.B.4

Practice 1: Make

sense of problems

and persevere in

solving them.

Ace Questions 14,

15, 21, 25

concave

polygons,

convex

polygons,

interior angles,

exterior angles

Video; Lab sheet

2.4A: Question A;

Lab sheet 2.4B:

Question D;

angle rulers

7th Grade Math - Unit 1 "Shapes and Designs" Investigation 2 "Designing Polygons"

Focus Questions

Polygons,

Tessellations,

Angle Measures,

Angle Sums in

Polygons, Interior

angles of regular

polygons, exterior

angles of regular

polygons

Partner Quiz and Mathematical Reflections after this Investigation is done

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

skip

3.1

skip

3.2

skip

3.3

3.4

When two parallel lines

are cut by a transversal,

what can be said about

the eight angles that

are formed?

7.G.A.2;

7.G.B.5

1: persevere is



strategically; 6:

attend to precision

ACE problems: 17

and 39

parallel lines,

rectangle,

transversal,

vertical angles

Lab sheet 3.4A;

Lab sheet 3.4B;

Teaching Aid 3.4

skip

3.5

7th Grade Math - Unit 1 "Shapes and Designs" Investigation 3 "Designing Triangles and Quadrilaterals"

Focus Questions

supplementary

angles; vertical

angles; angle

relationships as a

result of parallel

lines and

transversals

Teach this problem as a part of Investigation 2. Suggestion: Teach problem 3.4 in between problems 2.3 and 2.4

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

1.1

How can you find the

total value of a

combination of positive

and negative integers?

7.NS.A.1;

7.NS.A.1c;

7.NS.A.3;

Practice 3: Construct

viable arguments

and critique the

reasoning of others.

Practice 5: Use

appropriate tools

strategically.

ACE Questions

1-5, 56 - 58, 78

integers,

number

sentence

Launch Video,

Labsheet 1ACE,

Teaching Aid 1.1A,

TA 1.1B, TA 1.1C,

TA 1.1D, TA 1.1E,

TA 1.1F,

1.2

How can you use a

number line to

compare two

numbers?

7.NS.A.1;

7.NS.A.1a;

7.NS.A.1b;

7.NS.A.3;

7.EE.B.4;

7.EE.B.4b;

Practice 5: Use

appropriate tools

strategically.

ACE Questions

9 - 35; 59 - 75;

79 - 87

Math Tools: Number line

negative

number;

opposites;

positive

number;

rational

numbers

Number lines, TA

1.2A; TA 1.2B,

Labsheet 1ACE (ex

9 & 10)

1.3

How can you write a

number sentence to

represent a change on

a number line, and how

can you use a number

line to represent a

number sentence?

7.NS.A.1;

7.NS.A.1b;

7.NS.A.1c;

7.NS.A.3

Practice 5: Use

appropriate tools

strategically.

ACE Questions

36 - 48; 76 - 77Math Tools: Number line

Video; TA 1.3A; TA

1.3B; TA 1.3C;

Number Lines;

Labsheet 1ACE (ex

48)

1.4

How can you use a chip

model to represent

addition and

subtraction?

7.NS.A.1;

7.NS.A.1b;

7.NS.A.1c;

7.NS.A.3

Practice 5: Use

appropriate tools

strategically.

ACE Questions

49 - 55, 88 - 90Math Tools: Integer Chips

red and black chips;

Math Tools:

Integer Chips; Chip

board; Small chip

boards; TA 1.4A; TA

1.4B

7th Grade Math - Unit 2 "Accentuate the Negative" Investigation 1 "Extending the Number System"

Focus Questions

Graphing

inequalities on a

number line;

Modeling integers

on a number line;

Properties of

Rational Numbers

After Investigation : Check-Up 1; Mathematical Reflections

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

2.1

How can you predict

whether the result of

addition of two

numbers will be

positive, negative, or

zero?

7.NS.A.1;

7.NS.A.1a;

7.NS.A.1b;7.NS.A.

1d; 7.NS.A.3;

7.EE.B.3

Practice 5: Use

appropriate tools

strategically.


and express

regularity in

repeated reasoning.

ACE Questions 1-

17, 60, 64Math Tools: Integer Chips

algorithm,

Commutative

Property

Video, Number

Lines, chip board,

small chip boards,

chips, Lab sheet

2ACE (ex 15 & 16),

Teaching Aid 2.1A,

TA 2.1B, TA 2.1C

2.2

How is a chip model or

number line useful in

determining an

algorithm for

subtraction?

7.NS.A.1;

7.NS.A.1b;

7.NS.A.1c;

7.NS.A.3; 7.EE.B.3

Practice 5: Use

appropriate tools

strategically.

ACE Questions

18 - 37, 61, 62,

65, 66

Math Tools: Number line;

Math Tools: Integer Chips

absolute value,

additive

identity;

additive

inverses

Number Lines, chip

board, small chip

boards, chips, TA

2.2A; TA 2.2B; TA

2.2C; TA 2.2D

2.3

How are the algorithms

for addition and

subtraction of integers

related?

7.NS.A.1;

7.NS.A.1c;

7.NS.A.3; 7.EE.B.3

Practice 5: Use

appropriate tools

strategically.

ACE Questions

38 - 49, 63, 67,

68

Math Tools: Number line;


Number Lines, chip

board, small chip

boards, chips, TA

2.3

2.4

What related sentence

is equivalent to 4+n= 43

and makes it easier to

find the value of n?

7.NS.A.1;

7.NS.A.1c;

7.NS.A.3

Practice 5: Use

appropriate tools

strategically. Practice

7: Look for and make

use of structure

ACE Questions

50 - 59; 69

Math Tools: Integer Chips;


video; Number

Lines, chip board,

small chip boards,

chips, lab sheet 2.4

7th Grade Math - Unit 2 I"Accentuate the Negative" Investigation 2 "Adding and Subtracting Rational Numbers"

Focus Questions

Models for

integers and

operations of

addition and

subtraction;

Properties of

Rational numbers;

order of

operations

After Investigation: Partner Quiz; Mathematical Reflections

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

3.1

How is multiplication of

two integers

represented on a

number line and a chip

board

7.NS.A.2,

7.NS.A.2a,

7.NS.A.3, 7.EE.B.3

1: Persevere is


Model with

mathematics

ACE problems:

1-9, 37, 49-53

Launch Video; Labe

sheet 3ACE:

Exercise 1;

Teaching Aid 3.1A:

Relay Race;

Teaching Aid 3.1B:

Multiplication

Patterns; Number

Lines; Chip Board;

Small Chip Boards

3.2

What algorithm can

you use to multiply

integers?

7.NS.A.2,

7.NS.A.2a,

7.NS.A.2c,

7.NS.A.3, 7.EE.B.3

1: Persevere is


Reason abstractly

and quantitatively

ACE problems:

10-13, 38-41, 54

Teaching Aid 3.2:

Multiplication

Grouping

3.3

What algorithm can

you use for dividing

integers? How are

multiplication and

division or integers

related?

7.NS.A.2,

7.NS.A.2a,

7.NS.2b,

7.NS.A.2c,

7.NS.A.2d,

7.NS.A.3, 7.EE.B.3

1: Persevere is

solving problems

ACE problems:

14-35, 42-45, 55-

59

multiplicative

identity;

multiplicative

inverses

Teaching Aid 3.3A:

Fact Families

Grouping; Teaching

Aid 3.3B: Division

Grouping; Number

Lines

3.4

What patterns do you

notice on the game

board for Integer

Product Game that can

help you win?

7.NS.A.2,

7.NS.A.2a,

7.NS.A.2c,

7.NS.A.3

1: Persevere is

solving problems

ACE problems:

36, 46-48, 60

In Student Activities, grade

7, "Integer Product Game"

Launch Video; Lab

sheet 3.4: Integer

Product Game;

Teaching Aid 3.4:

Integer Product

Game; paper clips,

colored pencils or

markers

7th Grade Math - Unit 2 "Accentuate the Negative" Investigation 3 "Multiplying and Rational Numbers "

Focus Question

Modeling with a

number line or

chip model

After Investigation: Mathematical Reflections; Assessment: Check Up 2

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

4.1

Does the Order of

Operations work for

integers? Explain.

7.NS.A.1,

7.NS.A.1d;

7.NS.A.2;

7.NS.2a;

7.NS.A.2c,

7.NS.A.3; 7.EE.B.3

1: Persevere in

solving; 6: Attend to

precision

ACE problems:

1-7, 20-45, 53-

63

Order of

Operations

Launch video;

Teaching Aid 4.1A:

Order of

Operations;

Teaching Aid 4.1B:

Soccer Jersey

Example

4.2

How can you use the

Distributive Property to

expand an expression

or factor an expression

that involves integers?

7.NS.A.1,

7.NS.A.1d;

7.NS.A.2;

7.NS.2a;

7.NS.A.2c,

7.NS.A.3; 7.EE.B.3

1: Persevere in

solving

ACE problems:

8-18, 46-52, 64-

73

distributive

property;

expanded form;

factored form

Lab sheet 4ACE:

Exercises 66-69;

Teaching Aid 4.2:

Distributive

Property

4.3

What information in a

problem is useful to

help you decide which

operation to use to

solve the problem?

7.NS.A.1,

7.NS.A.1d;

7.NS.A.2;

7.NS.2a;

7.NS.A.2c,

7.NS.A.3; 7.EE.B.3

1: Persevere in

solving; 2: Reason

abstractly and

quantitatively

ACE problem:

19

number

sentenceLaunch video

7th Grade Math - Unit 2 "Accentuate the Negative" Investigation 4 "Properties of Operations "

Focus Question

After Investigation: Mathematical Reflections; Unit Project (optional) ; Self-Assessment (take home) ; Unit Test

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

1.1

What does it mean for

two figures to be

similar?

7.RP.A.2;

7.RP.A.2b; 7.G.A.1;

7.G.A.2

Practice 5: Use

appropriate tools

strategically.

Practice 1: Make

ACE Questions 1-4, 8 -

17, 20 - 24

image, scale

drawing

Video, Lab sheet

1ACE (ex 1 & 2),

Lab 1ACE (ex 3, 4,

12), grid paper,

1.2

When you copy a figure

at a certain scale factor

(i.e. 150%), how does

this value affect the

7.G.A.1; 7.G.A.2;

7.G.B.6

Practice 5: Use

appropriate tools

strategically.

Practice 1: Make

ACE Questions 5 - 7.

18, 19

Math tools: Expression

Calculator

corresponding

angles,

corresponding

sides

Lab sheet 1.2,

grid paper

1.3

1.4

7th Grade Math - Unit 3 Investigation 1 "Understanding Similarity"

Focus Questions

Introduction to

Similarity, making

similar figures,

scale drawings,

relationship of

area and

perimeter in

similar figures

After Investigation: Check Up Quiz and Mathematical Reflections

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

2.1

How can you

determine if two

shapes are similar by

looking at the rule for

producing specific

coordinates for the

image?

7.G.A.1; 7.G.B.6;

7.EE.B.4; 7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

Practice 3: Construct

viable arguments

and critique the

reasoning of others

ACE Questions 1, 2,

14, 15, 29

Math tools: Coordinate

grapher; Student

Activities: Mug Wumps

Video, Lab sheet

2.1; Lab sheet

2ACE (ex 1), four

first-quadrant

grids, first-

quadrant grid, TA

2.1A, TA 2.1B, TA

2.1C

making similar

figures, scale

drawings,

similarity

transformations

and congruence

2.2

What types of

coordinate rules

produce similar figure?

Non similar figures?

For a pair of similar

figures, how can you

use a coordinate rule to

predict the side lengths

of the image?

7.G.A.1; 7.G.B.6;

7.EE.B.4; 7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

ACE Questions 3, 4,

16, 17, 18, 30, 31

Math tools: Coordinate

grapher; Student

Activities: Mug Wumps

Lab sheet 2.2,

Lab sheet 2ACE,

four first-

quadrant grids,

first-quadrant

2.3

How can you decide

whether or not two

shapes are similar?

7.RP.A.2; 7.RP.A.2a;

7.RP.A.2b; 7.G.B.6


and make use of

structure.

ACE Questions 5 - 13,

19 - 28, 32 - 36

Student Activities: Mug

Wumps

scale factor,

similar

video, Lab sheet

2.3; Lab sheet

2ACE, Grid paper,

TA 2.3

7th Grade Math - Unit 3 Investigation 2 "Similar Figures"

Focus Questions

After Investigation : Check Up 2 and Mathematical Reflection

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

3.1

What types of

quadrilaterals are rep-

tiles? How do rep-tiles

show that the scale

factors and areas of

similar quadrilaterals

are related?

7.RP.A.2; 7.RP.A.2a;

7.RP.A.2b; 7.G.A.1,

7.G.B.6

Practice 1: Make

sense of problems

and persevere in

solving them.


29 - 32, 43 - 44

Math tools: Pattern

Blocks

midpoint, rep-tile Video, Lab sheet

3, Lab sheet 3.1,

Lab sheet 3ACE

(ex 1), Shapes

Set, TA 3.1A, TA

3.1B, TA 3.1C

3.2

Which types of

triangles are rep-tiles?

Explain

7.RP.A.2; 7.RP.A.2a;

7.RP.A.2b; 7.G.A.1,

7.G.B.6

Practice 1: Make

sense of problems

and persevere in

solving them.


and make use of

structure

ACE Questions 4-6,

33-38, 45-47

Math tools: Pattern

Blocks

Lab sheet 3, Lab

sheet 3.2A, Lab

sheet 3.2B, Lab

sheet 3ACE (ex

4), Lab sheet

3ACE (ex 6),

Shapes Set, TA

3.2A, TA 3.2B

3.3

How can you use scale

factors to draw similar

figures or to find

missing side lengths in

similar figures?

7.RP.A.2;

7.RP.A.2b; 7.G.A.1,

7.G.A.2; 7.G.B.6;

7.RP.A.3, 7.EE.B.4;

7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

ACE Questions 7-21,

39, 48-52


Calculator

scale factor,

similar

video, Lab sheet

3.3A, Lab sheet

3.3B, Lab sheet

3.3C, Lab sheet

3ACE (ex 7),

quarter-inch grid

paper, TA 3.3, TA

3ACE

3.4

How can you use

similar triangles to find

a distance that is

difficult to measure

directly?

7.RP.A.2; 7.G.A.1;

7.RP.A.3, 7.EE.B.4;

7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

Practice 4: Model

with mathematics

ACE Questions 22 -

28, 40-42, 53


Calculator

nested triangles video, lab sheet

3.4

Define

Mathematical

Similarity,

relationship of

area and

perimeter in

similar figures,

comparing area in

two similar figures

using rep-tiles

After Investigation : Partner Quiz and Mathematical Reflection

7th Grade Math - Unit 3 Investigation 3 "Scaling Perimeter and Area"

Focus Questions

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

4.1

What information does

the ratio of adjacent

side lengths within a

rectangle give you?

7.RP.A.2; 7.RP.A.2a;

7.RP.A.2b; 7.G.A.1;

Practice 1: Make

sense of problems

and persevere in

solving them.

Practice 2: Reason

abstractly and

quantitatively.


41-43


Calculator

adjacent sides,

equivalent ratios,

proportion, ratio

Launch Video, lab

sheet 4.1, TA

4.1A, TA 4.1B, TA

4.1C

4.2

For a pair of triangles, if

the measures of

corresponding angles

are equal, how can you

use ratios of side

lengths to determine

whether or not the

triangles are similar?

7.RP.A.2; 7.RP.A.2a;

7.RP.A.2b; 7.G.A.1,

7.G.B.6

Practice 1: Make

sense of problems

and persevere in

solving them.


and express

regularity in

repeated reasoning.

ACE Questions 3-14,

49-50


Calculator

Lab sheet 4.2,

Lab sheet 4ACE

(ex 12), TA 4.2

4.3

If two shapes are

similar, how can you

use information about

the shapes to find

unknown side lengths,

perimeters, and areas?

7.RP.A.2;

7.RP.A.2b; 7.G.A.1,

7.G.A.2; 7.G.B.6;

7.RP.A.3, 7.EE.B.4;

7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

ACE Questions 17-

18, 19-31, 44-48


Calculator

Lab sheet 4.3

4.4

How can you use

similar triangles to find

a distance that is

difficult to measure

directly?

7.RP.A.2; 7.G.A.1;

7.RP.A.3, 7.EE.B.4;

7.EE.B.4a

Practice 1: Make

sense of problems

and persevere in

solving them.

Practice 6: Attend to

precision.

ACE Questions 15-

16, 32-39, 40, 51


Calculator

Launch Video, TA

4.4A, TA 4.4B

Similarity of

rectangles;

equivalent ratios

After Investigation: Self Assessment, Unit Test, Mathematical Reflection and Unit Project

7th Grade Math - Unit 3 Investigation 4 "Similarity and Ratios"

Focus Questions

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

1.1

What do different

comparisons of

quantities tell you

about their

relationship?

7.RP.A.2; 7.RP.A.2a

1: Persevere in


Attend to precision

ACE questions: 1-9,

33-38, 66-74

Math Tools - Data and

Graphs; Student Activities

- Mug Wumps

ratio

Launch video;

Teaching Aid 1.1:

Cola Ad; Labsheet

1ACE: Exercise 1

1.2

What strategies do you

use to determine which

mix is the most

orangey?

7.RP.A.1; 7.RP.A.2;

7.RP.A.3

2: Reason abstractly

and quantitatively

ACE questions: 10-

12, 39-43

Labsheet

1ACE:

Exersise 10

1.3

When you scale up a

recipe and change the

units, like from cups to

ounces, what are some

of the issues ou have to

deal with?

7.RP.A.2; 7.RP.A.3;

7.EE.B.4


and quantitatively

ACE questions: 13-

18, 44-56

Math Tools - Number

Line

equation; part-to-

part ratio; part-to-

whole ration

Launch video;

Number Lines

1.4

What strategies can

you use to find a

missing value in a

proportion? What is

your preferred strategy

and why?

7.RP.A.2; 7.RP.A.2c;

7.RP.A.3; 7.EE.B.4

1: Persevere in


Attend to precision

ACE questions: 19-

32, 57-65, 75-78

Math Tools - Coordinate

Grapher, Expression

Calculator; Student

Activities - Mug Wumps

proportion

Teaching Aid 1.4:

Men-to-Women

Ratios for

Doctors

7th Grade Math - Unit 4 "Comparing and Scaling" Investigation 1 "Ways of Comparing: Ratio & Proportion"

Focus Question

After Investigation: Mathematical Reflection, Check-Up Quiz

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

2.1

How can you

determine whether

two ratios are

equivalent or find

which two ratios is

more favorable?

7.RP.A.2, 7.RP.A.2a,

7.RP.A.2b, 7.RP.A.3

3: Construct viable

arguments & critique

the reasoning of

others; 4: Model

with mathematics

ACE questions: 1-3,

14-17, 28Launch Video

2.2

How can you use rate

tables to find missing

values? How are rate

tables similar to scaling

quantities and solving

proportions?

7.RP.A.1, 7.RP.A.2,

7.RP.A.2a,

7.RP.A.2b,

7.RP.A.3; 7.RP.A.2c;

7.RP.A.2d; 7.EE.B.4;

7.EE.B.4a

4: Model with

mathematics; 5: Use

appropriate tools; 7:

Look for and make

use of structure

ACE questions: 4-8,

18-23, 29rate, rate table

TA 2.2:

Completed

Tables and

Graphs; Lab sheet

2.2: Royal &

Howdy's

Pizzerias; Lab

sheet 2ACE:

exercises 5 & 6;

quarter-inch grid

paper, colored

pencils

2.3

How can you find a unit

rate in a description, an

equation, a table, or a

graph?

7.RP.A.1, 7.RP.A.2,

7.RP.A.2a,

7.RP.A.2b,

7.RP.A.3; 7.RP.A.2c;

7.RP.A.2d; 7.EE.B.4

4: Model with

mathematics; 5: Use

appropriate tools; 7:

Look for and make

use of structure

ACE questions: 9-13,

24-26, 27

Math Tools: Data and

Graphs

constant of

proportionality;

unit rate

TA 2.3:

Completed

Graphs & Tables;

Lab sheet 2.3:

Cost of Oranges

Rate Table and

Graph; Lab sheet

2ACE: exercise 10

& 27; quarter-

inch grid paper,

colored pencils

7th Grade Math - Unit 4 "Comparing and Scaling" Investigation 2 "Comparing and Scaling Rates"

Focus Question

After Investigation: Mathematical Reflections, Partner Quiz

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

3.1

How can you use

proportions and

percent tables to find

various percentages of

a value when you know

a certain percentage of

the same value?

7.RP.A.2;

7.RP.A.2b;

7.RP.A.2c; 7.RP.A.3;

7.EE.B.3; 7.EE.B.4;

7.EE.B.4a

3: Construct viable

arguments & critique

the reasoning of

others; 5: Use

appropriate tools

ACE questions: 1-14,

35-38, 54

Math Tools: Expression

Calculator

commission,

markup

Launch Video;

Lab sheet 3.1A:

Ticket Prices; Lab

sheet 3.1B:

Carla's Used Car

Prices; Lab sheet

3ACE: exercises

11-13; TA 3.1A:

Explore; TA 3.1B:

Summarize;

calculators

3.2

How can you use unit

rates, proportions,

equations, and rate

tables to scale a variety

of units?

7.RP.A.1; 7.NS.A.3;

7.EE.B.3; 7.EE.B.4

5: Use appropriate

tools; 7: Look for and

make use of

structure; 8: Look

for and and express

regularity in

repeated reasoning

ACE questions: 15-

25, 39-50, 55

Launch Video;

Lab sheet 3.2:

Conversions; Lab

sheet 3ACE:

exercise 19; TA

3.2A: Launch; TA

3.2B: Summarize;

calculators

3.3

How can you use scale

factors, rate tables,

proportions, equations,

or graphs to find

amounts of a mixture,

given the proportions?

7.RP.A.1; 7.RP.A.2;

7.RP.A.2a;

7.RP.A.2b;

7.RP.A.2c;

7.RP.A.2d; 7.RP.A.3

5: Use appropriate

tools; 7: Look for and

make use of

structure; 8: Look

for and and express

regularity in

repeated reasoning

ACE questions: 26-

34, 51-53

Math Tools: Coordinate

Grapher

Launch Video;

Lab sheet 3.3:

Chimp Food

Mixes; Lab sheet

3ACE: exercises

51 & 52; TA 3.3:

tables for

problem 3.3;

calculators

7th Grade Math - Unit 4 "Comparing and Scaling" Investigation 3 "Markups, Markdowns, and Measures"

Focus Question

After Investigation: Mathematical Reflections, Unit Project (optional), Self-Assessment (take home); Unit Test

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

1.1

What equation

represents the

relationshihp between

the time and the

distance you walk at a

constant rate? What

are the dependent and

independent variables?

7.RP.A.2b;

7.RP.A.2c;

7.EE.B.3; 7.EE.B.4

1: Persevere in

solving problems

ACE questions:

1-2, 15-18

Math Tools: Data and

Graphs

linear

relationship

Launch Video;

Generic Grid Paper;

meter sticks,

stopwatch,

transparent grid

1.2

How can you predict

whether a relationship

is linear from a table, a

graph, or an equation

that represents the

relationship?

7.RP.A.2;

7.RP.A.2a;

7.RP.A.2b;

7.RP.A.2c;

7.EE.B.4

1: Persevere in

solving problems

ACE questions:

3-5, 19-22, 30


Grapher, Data and Graphs

Labsheet 1.2:

Walking Rates;

Labsheet 1ACE:

Exercise 4; TA 1.2:

Tables of Data;

graphing

calculators

1.3

What is the patterns of

change in a linear

relationship?

7.RP.A.2;

7.RP.A.2a;

7.RP.A.2b;

7.RP.A.2c;

7.EE.B.3;

7.EE.B.4a


and quantitatively; 8:

Look for and express

regularity in

repeated reasoning

ACE questions:

6-9, 23-26, 31-

32



dependent

variable;

independent

variable

Labsheet 1.3:

Pledge Plans;

Labsheet 1ACE:

exercise 6; Generic

Grid Paper;

transparent grid;

poster paper

1.4

How can you

determine if a linear

relationship is

increasing or

decreasing?

7.EE.B.3;

7.EE.B.4a

1: Persevere in

solving problems

ACE questions:

10-14, 27-29, 33



Labsheet 1ACE:

Exercise 12; First-

Quadrant Grid; TA

1.4: Ms. Chang's

Class Account

After Investigation: Mathematical Reflections, Check-Up 1

7th Grade Math - Unit 5 "Moving Straight Ahead" Investigation 1 "Walking Rates"

Focus Question

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

2.1

When is it helpful to

use a graph or a table

to solve a problem?

7.RP.A.2b;

7.RP.A.2c;

7.RP.A.2D;

7.EE.B.4a

1: Persevere in

solving problems

ACE questions:

1, 29-34, 42x-intercept

Launch Video;

Generic Grid Paper;

poster paper,

sticky notes

2.2

How does the pattern

of change for a linear

relationship appear in a

table, a graph, or an

equation?

7.RP.A.2b;

7.RP.A.2c;

7.RP.A.2D;

7.EE.B.4;

7.EE.B.4a

1: Persevere in

solving problems

ACE questions:

2-4, 6, 35-37, 43



Lab sheet 2.2:

Henri and Emile's

Rase; Lab sheet

2ACE: exercise 4;

Generic Grid Paper

2.3

How can you decide if a

table or an equation

represents a linear

relationship?

7.RP.A.2b;

7.RP.A.2c;

7.RP.A.2D;

7.EE.B.3;

7.EE.B.4;

7.EE.B.4a

8: Look for and

express regularity in

repeated reasoning

ACE questions:

5, 7-14, 38-39,

44-45

coefficient;

solution of an

equation; y-

intercept

First-Quadrant

Grid; Generic Grid

Paper

2.4

How are solutions of an

equation of the form y

= b + mx related to the

graph and the table for

the same relationship?

7.EE.B.3;

7.EE.B.4a

6: Attend to

precision

ACE questions:

15-28, 41-41


Grapher

Launch Video; TA

2.4A: Alana's

Pledge Plan; TA

2.4B: Ali and

Tamara's Graphs;

TA 2.4C: Graph of

y = 5x -3; TA 2.4D:

Troy's Graphing

Calculator;

graphing

calculators

After Investigation: Mathematical Reflections, Partner Quiz

Focus Question

7th Grade Math - Unit 5 "Moving Straight Ahead" Investigation 2 "Exploring Linear Relationships With Graphs and Tables"

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

3.1

How are the

coordinates of a point

on a line or in a table

related to the equation

of the line?

7.EE.A.2;

7.EE.B.3;

7.EE.B.4A

1: Persevere in

solving problems

ACE questions:

1-4, 35, 37-38,

49



Labsheet 3ACE:

exercise 1; Blank

Table and Graph;

TA 3.1: Alana's

Pledge Plan

3.2What does equality

mean?

7.EE.A.1;

7.EE.A.2;

7.EE.B.4A

3: Construct viable

arguments and

critique the

reasoning of others;

ACE questions:

5-8, 36, 39-40,

48

Launch Video;

Labsheet 3.2:

Pouch-and-Coin

Situations; TA 3.2A:

Pouches and Coins;

TA 3.2B: Pouch-and-

Coin Strategies; TA

3.2C: Nichole's

Method; TA 3.2D:

Symbolic

Representation

Table; poster

paper

3.3

How can the properties

of equality be used to

solve linear equations?

7.EE.A.1;

7.EE.A.2;

7.EE.B.3;

7.EE.B.4;

7.EE.B.4A

1: Persevere in

solving problems

ACE questions:

9-16, 42-43, 51

equivalent

expressions

Labsheet 3.3:

Pouch-and-Coin

Equations; poster

paper

3.4

What are some

strategies for solving

linear equations?

7.EE.A.1;

7.EE.A.2;

7.EE.B.3;

7.EE.B.4A

5: Use appropriate

tools strategically

ACE questions:

17-29, 41, 44-

47, 50, 52-53,

55-58

properties of

equality

Labsheet 3ACE:

exercise 41 and 58;

poster paper

3.5

How can you find when

two expressions are

equal, or when one

expression is greater or

less than the other?

7.EE.A.1;

7.EE.A.2;

7.EE.B.3;

7.EE.B.4;

7.EE.B.4A;

7.EE.B.4B

1: Persevere in

solving problems

ACE questions:

30-34, 54, 59

Student Activities -

Climbing Monkeys

inequality, point

of intersection

Labsheet 3ACE:

exercise 54; Blank

Table and Graph;

TA 3.5A: Two T-

Shirt Plans; TA

3.5B: Fabian's

Bakery

7th Grade Math - Unit 5 "Moving Straight Ahead" Investigation 3 "Solving Equations"

Focus Question

After Investigation: Mathematical Reflections, Check-Up 2

Content


Sample


Resources/

Technology

Interdisciplinary

Connections

Prior

Knowledges

4.1

How is the steepness of

a set of stairs related to

a straight-line graph?

7.EE.A.2;

7.EE.B.4;

7.EE.B.4A

1: Persevere in

solving problems;

4: Model with

mathematics

ACE questions:

1, 43-45, 49

Launch Video; Lab

sheet 4.1: Stair

Measurement

Table; Coordinate

Grid; measuring

tape in inches;

large sheets of

graph paper or

poster paper

4.2

How can you find the y-

intercept and the slope

of a line from data in a

table, graph, or

equation?

7.RP.A.2d;

7.EE.B.4

1: Persevere in

solving problems;

4: Model with

mathematics

ACE questions:

2-15, 46, 50, 52


Climbing Monkeysslope

Launch Video; Lab

sheet 4.2: Linear

Relationships; Lab

sheet 4ACE:

exercise 7;

Coordinate Grid; TA

4.2A: A Set of

Stairs; TA 4.2B: Two

Graphs and a Table;

TA 4.2C: Rate of

Change Table; TA

4.2D: Mary's

Method

4.3

How can you predict if

two lines are parallel or

perpendicular from

their equations?

7.EE.A.1;

7.EE.A.2; 7.EE.B.4

7: Look for and make

use of structure

ACE questions:

16-34, 47, 51


Climbing Monkeys

Coordinate Grid; TA

4.3: Pairs of Lines;

graphing

calculators

4.4

What information do

you need to write an

equation for a linear

relationship? Is the

expression for the

dependent variable

always the same?

7.EE.A.1;

7.EE.A.2;

7.EE.B.3;

7.EE.B.4;

7.EE.B.4A

1: Persevere in

solving problems

ACE questions:

35-42; 48; 53;

54

Lab sheet 4.4:

Linear Logic

Activity; poster

paper

7th Grade Math - Unit 5 "Moving Straight Ahead" Investigation 4 "Exploring Slope: Connecting Rates and Ratios"

Focus Question

After Investigation: Mathematical Reflections, Looking Back, Unit Project (optional), Self-Assessment (take home); Unit Test

Documents

7th Grade Math - Unit 1 Shapes and Designs Investigation 1 ......numbers Number lines, TA 1.2A; TA 1.2B, Labsheet 1ACE (ex 9 & 10) 1.3 How can you write a number sentence to represent