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Mathematics INTERVENTION COMMON CORE Standards Plus ® Grade 7 SAMPLER

SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

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Page 1: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

1

Mathematics

INTERVENTIONCOMMON CORE

Standards Plus® Grade

7

SAMPLER

Page 2: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

INTERVENTIONCOMMON CORE

Standards Plus®

Available for Grades 1-8 Language Arts and Math

Great for: Small Group Instruction

Summer School ProgramsAfter School Programs

Special Ed - Academic IEP Goals

Mathematics

INTERVENTION

COMMON CORECOMMON CORE

Standards Plus®

TEACHER EDITION A/B

Grade

7A/B

Topics:Ratios & Proportional RelationshipsThe Number System • Expressions & Equations

Scaffolded lessons written to the Common Core Language Arts and Mathematics Standards.

Includes:

• Pre- and Post- Assessments for each set of instruction on a topic or idea

• Step-by-step direct instruction lessons that support student mastery of grade level standards

• Performance Tasks that provide students opportunities to apply their learning

2

Page 3: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

3

8+ Performance Tasks DOK 3-4

Students deepen and apply their skills

100+ Intervention LessonsDOK 1-2-3

Pre-AssessmentsUse assessment results to identify

and group students that need intervention

Scaffolded Intervention Lessons

Students learn the prerequisite skills necessary for the mastery

of grade-level standards

Post-Assessments

Administer a post-assessment to validate student progress

Standards Plus Intervention Includes

Page 4: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

4 www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

Ready-To-Teach Direct Instruction Lessons

Standards Plus Intervention lessons are written in the Direct Instruction format because it is the most effective

research-based instructional delivery model and it is proven to increase student achievement.

Standards Plus Intervention works because teachers teach every lesson

St. Ed. pg. B-18

Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates

Teacher Lesson Plan

126

Standards Plus® – Common Core Intervention Mathematics – Grade 7Domain:  Expressions & Equations  Focus:  Solve & Graph Linear Equations  Lesson: # 12 Lesson Objective:  Solve and graph linear equations.  Introduction:  Students will use linear equations to complete x and y tables.  Then, they will write the coordinate pairs defined in the tables.  Finally, they will graph the line defined by the linear equation.  Instruction:  “Today you will use linear equations to complete x and y tables.  Here is an example of an x and y table and a linear equation.  In this table, we see 6 in the x column.  Next to the 6 is a 5 in the y column.  Then, we have (5, 4), (4, 3), and (3, 2).  The linear equation says, y = x – 1.  In each row, did they subtract 1 from x to find y?”  Yes. Guided Practice:  “Now, notice that the coordinate pairs are given.  We will graph these coordinate pairs.  Let’s begin with (6, 5).  The 6 is the x value, so we will move horizontally along the x‐axis to 6.  Then, we’ll move vertically up to 5.  This is where we place the first point.  Next, we will graph (5, 4).  Let’s move horizontally across to five, and vertically up to four.  Draw the point.  (Repeat with the remaining points.)  Now, let’s connect the points to make the line.”  Independent Practice:  “There are two more tables for you to try.  Remember, You must use the linear equation to determine each missing value.  Then, write the coordinate pairs and graph them on the coordinate plane.”  Review:  After a few minutes, review together.  Closure:  “Today you determined the missing values in tables and wrote coordinate pairs to match the values using the given linear equations.  Then, you graphed the linear equation.”  Answers:  1.  (1, 2), (2, 4), (3, 6), and (4, 8); graphed line should begin at (1, 2) and 

extend up to the right to (4, 8). 2.  (3, 2), (4, 3), (5, 4), and (6, 5);  graphed line should begin at (3, 2) and 

extend up to the right to (6, 5).   

Introduction

Instruction

Guided Practice

IndependentPractice

Review &Closure

Page 5: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

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Using Standards Plus Intervention

1.  Use assessment results to identify students that need intervention

2.  If students are assessed online, our Standards Plus Platform will automatically group them for intervention lessons

3.  If students are assessed using print:• login on the dashboard• select intervention lessons • select topic • download lessons

4.  Teach direct instruction intervention lessons that scaffold the instruction of skills necessary for mastery of grade level standards

5.  Administer a post-assessment to validate student progress

Intervention Program

To access Intervention lessons:

Intervention Program

13

The entire Standards Plus Intervention Program is included as downloadable PDFs with your Standards Plus Program

Using Standards Plus Intervention Lessons: 1. Use assessment results to identify and group students that need intervention

2. Assign appropriate intervention lessons

3. Teach direct instruction intervention lessons that scaffold the instruction of skills necessary for mastery of grade level standards

4. Administer a post-assessment to validate student progress

5. Use performance tasks to provide students with opportunities to apply their learning.

Page 6: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

6 www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

WHY STANDARDS PLUS INTERVENTIONINCREASES STUDENT ACHIEVEMENT

Students are provided the prerequisite skills necessary for mastery of grade level standards

Teachers:Teachers are the most important factor in student learning. That’s why every Standards Plus lesson is directly taught by a teacher.

Direct Instruction format:“Direct Instruction is a proven method of instruction that fosters the most significant gains in student achievement and results in deep and enduring understanding of the concept.” (Peladeau, Forget & Gagne, 2003).

Discrete learning targets:Each lesson has a clear learning objective, providing easily understood instruction which allows students to learn and retain the information in their long term memory.

Multiple exposures to prerequisite standards/skills: Each standard/skill is broken down and presented in multiple scaffolded lessons providing multiple opportunities to practice and develop a deep understanding of a specific skill allowing for long term retention.

Immediate feedback:“The most powerful single modification that enhances achievement is feedback.” (John Hattie, 1992)Every lesson provides immediate feedback to the students.

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Page 7: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

7

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  Ra

tios  &

 Pro

portio

nal  R

elat

ions

hips

 Pre  1   Pre-­‐Assessment-­‐Rate  Problems  &  Percent     7.RP.1,  7.RP.2,  7.RP.3   14   A-­‐3  

1-­‐2  

1   Ratio  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

16   A-­‐4  

2   Unit  Rate   18   A-­‐5  

3   Rate   20   A-­‐6  

4   Rate,  Ratio,  &  Unit  Rate   22   A-­‐7  

5   Solving  Rate  Problems   24   A-­‐8  

6   Average  Speed   26   A-­‐9  

7   Rate  &  Average  Speed     28   A-­‐10  

8   Solve  for  a  Percent   30   A-­‐11  

9   Percent  Discounted   32   A-­‐12  

10   Sales  Tax   34   A-­‐13  

11   Fraction/Decimal  Equivalents   36   A-­‐14  

12   Percent  as  Fractions  &  Decimals   38   A-­‐15  

13   Calculating  Percent   40   A-­‐16  

14   Calculating  Percent   42   A-­‐17  

P1   Performance  Task  #1  –  This  Week’s  Specials  (7.RP.1,  7.RP.2,  7.RP.3)   44   A-­‐18   3  

Post  1   Post-­‐Assessment-­‐Rate  Problems  &  Percent   7.RP.1,  7.RP.2,  7.RP.3   46   A-­‐19   1-­‐2            

The  

Num

ber  S

yste

m

Pre  2   Pre-­‐Assessment-­‐Integers  &  Absolute  Value   7.NS.1,  7.NS.2,  7.NS.3   54   A-­‐21  

1-­‐2  

1   Fractions  &  Mixed  Numbers  on  a  Number  Line  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

56   A-­‐22  

2   Decimals  on  a  Number  Line   58   A-­‐23  

3   Using  Number  Lines   60   A-­‐24  

4   Compare  and  Order  Fractions  &  Decimals   62   A-­‐25  

5   Compare  and  Order  Fractions  &  Decimals   64   A-­‐26  

6   Absolute  Value   66   A-­‐27  

7   Absolute  Value   68   A-­‐28  

8   Adding  Integers     70   A-­‐29  

9   Adding  Integers   72   A-­‐30  

10   Subtracting  Integers     74   A-­‐31  

11   Subtracting  Integers   76   A-­‐32  

12   Multiplying  Integers     78   A-­‐33  

13   Multiplying  Integers   80   A-­‐34  

14   Dividing  Integers     82   A-­‐35  

15   Dividing  Integers   84   A-­‐36  

P2   Performance  Task  #2  –  Positive  or  Negative?    (7.NS.2,  7.NS.3)   86   A-­‐37   3  

Post  2   Post-­‐Assessment-­‐  Integers  &  Absolute  Value   7.NS.1,  7.NS.2,  7.NS.3   88   A-­‐38   1-­‐2  

 

 Common Core Standards Plus® is not licensed for duplication. Copying is illegal.

© 2013 Learning Plus Associates

Resources

3

Standards Plus Intervention - Math Grade 7 Lesson Index

Page 8: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

8 www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  

Expr

ession

s  &  E

quat

ions

Pre  3   Pre-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   96   B-­‐3  

1-­‐2  

1   Solving  Equations  with  Variables  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

98   B-­‐4  2   Solving  Equations  with  Variables   100   B-­‐5  3   Evaluating  Variable  Expressions   102   B-­‐6  

4   Writing  Variable  Expressions   104   B-­‐7  5   Order  of  Operations     106   B-­‐8  6   Solving  Addition  &  Subtraction  Equations   108   B-­‐9  7   Solving  Multiplication  &  Division  Equations   110   B-­‐10  8   Solving  Two-­‐Step  Equations   112   B-­‐11  9   Solving  Two-­‐Step  Equations   114   B-­‐12  10   Writing  Equations   116   B-­‐13  11   Writing  Equations   118   B-­‐14  P3   Performance  Task  #3  –  What  Does  It  Mean?    (7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4)   120   B-­‐15   3  Post  3   Post-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   122   B-­‐16   1-­‐2  

         

Pre  4   Pre-­‐Assessment-­‐Solve/Graph  Equations  &  Inequalities     7.EE.1,  7.EE.3,  7.EE.4   124   B-­‐17  

1-­‐2  

12   Solve  &  Graph  Linear  Equations  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

126   B-­‐18  13   Solve  Linear  Equations   128   B-­‐19  14   Solve  and  Graph  Linear  Equations   130   B-­‐20  15   Solve  and  Graph  Linear  Equations   132   B-­‐21  16   Determining  Slope     134   B-­‐22  17   Determining  Slope     136   B-­‐23  18   Inequalities   138   B-­‐24  19   Solve  Inequalities  by  Adding/Subtracting   140   B-­‐25  20   Solve  Inequalities  by  Multiplying/Dividing   142   B-­‐26  21   Solve  &  Graph  Inequalities     144   B-­‐27  22   Using  Inverse  Operations   146   B-­‐28  23   Using  Inverse  Operations   148   B-­‐29  P4   Performance  Task  #4  –  Word  Problems  with  Inequalities  (7.EE.3,  7.EE.4)   150   B-­‐30   3  

Post  4   Post-­‐Assessment-­‐  Solve/Graph  Equations  &  Inequalities   7.EE.1,  7.EE.3,  7.EE.4   152   B-­‐31   1-­‐2  

 

Common Core Standards Plus® is not licensed for duplication. Copying is illegal. © 2013 Learning Plus Associates

Resources

4

Standards Plus Intervention - Math Grade 7 Lesson Index

Page 9: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

9

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  

Stat

istic

s  &  P

roba

bilit

y

Pre  5   Pre-­‐Assessment-­‐Data  Displays   7.SP.4,  7.SP.8   16   C-­‐3  

1-­‐2  

1   Tree  Diagrams  Prerequisite  skills  and  

scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

18   C-­‐4  2   Stem-­‐and-­‐Leaf  Plots   20   C-­‐5  3   Quartiles   22   C-­‐6  

4   Quartiles   24   C-­‐7  5   Box-­‐and-­‐Whiskers  Plots   26   C-­‐8  6   Box-­‐and-­‐Whiskers  Plots   28   C-­‐9  P5   Performance  Task  #5  –  Group  Height  Activity  (7.SP.4,  7.SP.8)   30   C-­‐10   3  Post  5   Post-­‐Assessment-­‐Data  Displays   7.SP.4,  7.SP.8   32   C-­‐11   1-­‐2  

         

Pre  6   Pre-­‐Assessment-­‐Probability   7.SP.1-­‐7.SP.3,  7.SP.5-­‐7.SP.7   34   C-­‐13  

1-­‐2  

7   Certain,  Likely,  Unlikely,  Improbable  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

36   C-­‐14  8   Probability   38   C-­‐15  

9   Probability   40   C-­‐16  10   Samples  of  Populations   42   C-­‐17  11   Samples  of  Populations   44   C-­‐18  12   Predict  Outcomes  for  a  Simple  Event   46   C-­‐19  13   Independent  &  Dependent  Events   48   C-­‐20  14   Probability  &  Proportions   50   C-­‐21  15   Calculate  Probability  for  Compound  Events   52   C-­‐22  16   Calculate  Probability  for  Dependent  Events   54   C-­‐23  17   Calculate  Probability  for  Events   56   C-­‐24  P6   Performance  Task  #6  –  What  Are  the  Chances?  (7.SP.1-­‐7.SP.3,  7.SP.5-­‐7.SP.7)   58   C-­‐25   3  Post  6   Post-­‐Assessment-­‐Probability   7.SP.1-­‐7.SP.3,  7.SP.5-­‐7.SP.7   60   C-­‐26   1-­‐2  

 

 

 

 

 

 

 

 

 

 

 

Common Core Standards Plus® is not licensed for duplication. Copying is illegal.© 2013 Learning Plus Associates

Resources

3

Standards Plus Intervention - Math Grade 7 Lesson Index

Page 10: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

10 www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  Geo

met

ry

Pre  7   Pre-­‐Assessment-­‐  Surface  Area  &  Volume   7.G.3,  7.G.4,  7.G.6   68   D-­‐3  

1-­‐2  

1   Determining  Perimeter  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

70   D-­‐4  2   Determining  Area   72   D-­‐5  3   Determining  Area   74   D-­‐6  

4   Determining  Surface  Area   76   D-­‐7  5   Determining  Surface  Area   78   D-­‐8  6   Determining  Surface  Area   80   D-­‐9  7   Determining  Surface  Area   82   D-­‐10  8   Determining  Surface  Area   84   D-­‐11  9   Determining  Surface  Area   86   D-­‐12  10   Determining  Volume     88   D-­‐13  11   Determining  Volume   90   D-­‐14  12   Determining  Volume   92   D-­‐15  P7   Performance  Task  #7  –  What’s  the  Difference?    (7.G.3,  7.G.4,  7.G.6)   94   D-­‐16   3  Post  7   Post-­‐Assessment-­‐  Surface  Area  &  Volume   7.G.3,  7.G.4,  7.G.6   96   D-­‐17   1-­‐2  

         

Pre  8   Pre-­‐Assessment-­‐  Circles   7.G.4   98   D-­‐19  

1-­‐2  

13   Circles  Prerequisite  skills  and  

scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

100   D-­‐20  14   Circles   102   D-­‐21  15   Circles   104   D-­‐22  16   Circles   106   D-­‐23  17   Circles   108   D-­‐24  18   Circles   110   D-­‐25  P8   Performance  Task  #8  –  What  Makes  a  Circle  a  Circle?    (7.G.4)   113   NONE   3  Post  8   Post-­‐Assessment-­‐  Circles   7.G.4   114   D-­‐26   1-­‐2  

         

Pre  9   Pre-­‐Assessment-­‐Angles  &  Triangles   7.G.2,  7.G.5   116   D-­‐27  

1-­‐2  

19   Classifying  Angles  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

118   D-­‐28  

20   Classifying  Angles   120   D-­‐29  

21   Classifying  Angles   122   D-­‐30  

22   Classifying  Angles   124   D-­‐31  

23   Classifying  Angles   126   D-­‐32  

24   Classifying  Angles   128   D-­‐33  

25   Classifying  Triangles  by  Their  Angles   130   D-­‐34  

26   Classifying  Triangles   132   D-­‐35  

27   Classifying  Triangles   134   D-­‐36  

28   Determining  Measures  of  Unknown  Angles     136   D-­‐37  

29   Determining  Measures  of  Unknown  Angles   138   D-­‐38  

P9   Performance  Task  #9  –  Angle  Map    (7.G.2,  7.G.5)   140   D-­‐39   3  Post  9   Post-­‐Assessment-­‐Angles  &  Triangles   7.G.2,  7.G.5   142   D-­‐40   1-­‐2  

 

Common Core Standards Plus® is not licensed for duplication. Copying is illegal. © 2013 Learning Plus Associates

Resources

4

Standards Plus Intervention - Math Grade 7 Lesson Index

Page 11: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

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11

Sample Lessons Included in this Booklet

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  

Expr

ession

s  &  E

quat

ions

Pre  3   Pre-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   96   B-­‐3  

1-­‐2  

1   Solving  Equations  with  Variables  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

98   B-­‐4  2   Solving  Equations  with  Variables   100   B-­‐5  3   Evaluating  Variable  Expressions   102   B-­‐6  

4   Writing  Variable  Expressions   104   B-­‐7  5   Order  of  Operations     106   B-­‐8  6   Solving  Addition  &  Subtraction  Equations   108   B-­‐9  7   Solving  Multiplication  &  Division  Equations   110   B-­‐10  8   Solving  Two-­‐Step  Equations   112   B-­‐11  9   Solving  Two-­‐Step  Equations   114   B-­‐12  10   Writing  Equations   116   B-­‐13  11   Writing  Equations   118   B-­‐14  P3   Performance  Task  #3  –  What  Does  It  Mean?    (7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4)   120   B-­‐15   3  Post  3   Post-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   122   B-­‐16   1-­‐2  

         

Pre  4   Pre-­‐Assessment-­‐Solve/Graph  Equations  &  Inequalities     7.EE.1,  7.EE.3,  7.EE.4   124   B-­‐17  

1-­‐2  

12   Solve  &  Graph  Linear  Equations  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

126   B-­‐18  13   Solve  Linear  Equations   128   B-­‐19  14   Solve  and  Graph  Linear  Equations   130   B-­‐20  15   Solve  and  Graph  Linear  Equations   132   B-­‐21  16   Determining  Slope     134   B-­‐22  17   Determining  Slope     136   B-­‐23  18   Inequalities   138   B-­‐24  19   Solve  Inequalities  by  Adding/Subtracting   140   B-­‐25  20   Solve  Inequalities  by  Multiplying/Dividing   142   B-­‐26  21   Solve  &  Graph  Inequalities     144   B-­‐27  22   Using  Inverse  Operations   146   B-­‐28  23   Using  Inverse  Operations   148   B-­‐29  P4   Performance  Task  #4  –  Word  Problems  with  Inequalities  (7.EE.3,  7.EE.4)   150   B-­‐30   3  

Post  4   Post-­‐Assessment-­‐  Solve/Graph  Equations  &  Inequalities   7.EE.1,  7.EE.3,  7.EE.4   152   B-­‐31   1-­‐2  

 

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4

Standards  Plus®  Common  Core  Intervention  Mathematics  –  Grade  7    

Domain   Lesson   Focus   Standard(s)  References     TE  pg   St.  Ed.  pg   DOK  

Expr

ession

s  &  E

quat

ions

Pre  3   Pre-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   96   B-­‐3  

1-­‐2  

1   Solving  Equations  with  Variables  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

98   B-­‐4  2   Solving  Equations  with  Variables   100   B-­‐5  3   Evaluating  Variable  Expressions   102   B-­‐6  

4   Writing  Variable  Expressions   104   B-­‐7  5   Order  of  Operations     106   B-­‐8  6   Solving  Addition  &  Subtraction  Equations   108   B-­‐9  7   Solving  Multiplication  &  Division  Equations   110   B-­‐10  8   Solving  Two-­‐Step  Equations   112   B-­‐11  9   Solving  Two-­‐Step  Equations   114   B-­‐12  10   Writing  Equations   116   B-­‐13  11   Writing  Equations   118   B-­‐14  P3   Performance  Task  #3  –  What  Does  It  Mean?    (7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4)   120   B-­‐15   3  Post  3   Post-­‐Assessment-­‐Solving  Equations   7.EE.1,  7.EE.2,  7.EE.3,  7.EE.4   122   B-­‐16   1-­‐2  

         

Pre  4   Pre-­‐Assessment-­‐Solve/Graph  Equations  &  Inequalities     7.EE.1,  7.EE.3,  7.EE.4   124   B-­‐17  

1-­‐2  

12   Solve  &  Graph  Linear  Equations  

Prerequisite  skills  and  scaffolded  instruction  to  build  readiness  for  grade  

level  standards  and  instruction.  

126   B-­‐18  13   Solve  Linear  Equations   128   B-­‐19  14   Solve  and  Graph  Linear  Equations   130   B-­‐20  15   Solve  and  Graph  Linear  Equations   132   B-­‐21  16   Determining  Slope     134   B-­‐22  17   Determining  Slope     136   B-­‐23  18   Inequalities   138   B-­‐24  19   Solve  Inequalities  by  Adding/Subtracting   140   B-­‐25  20   Solve  Inequalities  by  Multiplying/Dividing   142   B-­‐26  21   Solve  &  Graph  Inequalities     144   B-­‐27  22   Using  Inverse  Operations   146   B-­‐28  23   Using  Inverse  Operations   148   B-­‐29  P4   Performance  Task  #4  –  Word  Problems  with  Inequalities  (7.EE.3,  7.EE.4)   150   B-­‐30   3  

Post  4   Post-­‐Assessment-­‐  Solve/Graph  Equations  &  Inequalities   7.EE.1,  7.EE.3,  7.EE.4   152   B-­‐31   1-­‐2  

 

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Resources

4

Expr

essi

on &

Equ

ation

s

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Pre-Assessment - Teacher Lesson Plan - Sample

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Teacher Lesson Plan

124

Standards Plus® – Common Core Intervention Mathematics – Grade 7 Domain:  Expressions & Equations  Focus:  Solve/Graph Equations & Inequalities  Pre‐Assessment:  4

Procedure:  Each intervention assessment is designed to be completed independently by the students.  Read the directions aloud, and ensure that students understand how to mark their answer choices.   Review:  Review the correct answers with students as soon as they are finished.     

Answers:  1. m = 126 2. horizontal 3. p ≥ ‐10 4. w = 48 5. m ≤ ‐1                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   6. z > 7                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   

St. Ed. pg. B-17

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Pre-Assessment - Student Page - Sample

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Student Page

125

Standards Plus® – Common Core Intervention Mathematics – Grade 7 Domain:  Expressions & Equations  Focus:  Solve/Graph Equations & Inequalities  Pre‐Assessment:  4

 Directions:  Solve each problem.  Write your answers on the lines.  1.  Solve for m.  

2m + 63 = 315       m = _______   

2.  What type of line has a slope of zero? _______________________________   

3.  Simplify the inequality.

p + 18 ≥ 8     p ≥ _______   4.  Solve for w.

6w

= 8 

  5. Simplify and graph the following inequality on the number line below.  

m + 8 ≤ 7 

                                                                                    ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1       0      1       2       3       4       5      6       7      8   

 

6. Simplify and graph the following inequality on the number line below.  

z – 12 > ‐5 

                                                                                    ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1       0      1       2       3       4       5      6       7      8   

 

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St. Ed. pg. B-18

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Teacher Lesson Plan

126

Standards Plus® – Common Core Intervention Mathematics – Grade 7Domain:  Expressions & Equations  Focus:  Solve & Graph Linear Equations  Lesson: # 12 Lesson Objective:  Solve and graph linear equations.  Introduction:  Students will use linear equations to complete x and y tables.  Then, they will write the coordinate pairs defined in the tables.  Finally, they will graph the line defined by the linear equation.  Instruction:  “Today you will use linear equations to complete x and y tables.  Here is an example of an x and y table and a linear equation.  In this table, we see 6 in the x column.  Next to the 6 is a 5 in the y column.  Then, we have (5, 4), (4, 3), and (3, 2).  The linear equation says, y = x – 1.  In each row, did they subtract 1 from x to find y?”  Yes. Guided Practice:  “Now, notice that the coordinate pairs are given.  We will graph these coordinate pairs.  Let’s begin with (6, 5).  The 6 is the x value, so we will move horizontally along the x‐axis to 6.  Then, we’ll move vertically up to 5.  This is where we place the first point.  Next, we will graph (5, 4).  Let’s move horizontally across to five, and vertically up to four.  Draw the point.  (Repeat with the remaining points.)  Now, let’s connect the points to make the line.”  Independent Practice:  “There are two more tables for you to try.  Remember, You must use the linear equation to determine each missing value.  Then, write the coordinate pairs and graph them on the coordinate plane.”  Review:  After a few minutes, review together.  Closure:  “Today you determined the missing values in tables and wrote coordinate pairs to match the values using the given linear equations.  Then, you graphed the linear equation.”  Answers:  1.  (1, 2), (2, 4), (3, 6), and (4, 8); graphed line should begin at (1, 2) and 

extend up to the right to (4, 8). 2.  (3, 2), (4, 3), (5, 4), and (6, 5);  graphed line should begin at (3, 2) and 

extend up to the right to (6, 5).   

EE - Teacher Lesson Plan - Sample

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Student Page

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Standards Plus® – Common Core Intervention Mathematics – Grade 7Domain:  Expressions & Equations  Focus:  Solve & Graph Linear Equations  Lesson: # 12

Examples:   

y = x – 1  x y(6, 5)  6 5(5, 4)  5 4(4, 3)  4 3(3, 2)  3 2

Directions:  Use the linear equation to determine the missing values in each table.  Then, write the coordinate pairs defined in the table, and graph them in the coordinate plane.  1.  y = 2x     x  y  Coordinate Pair

    1    (1, ___)2 (2, ___)

    3    (3, ___)    4    (4, ___)

2.  x = y + 1    x  y  Coordinate Pair      2  (___, 2)      3  (___, 3)      4  (___, 4)      5  (___, 5)

EE - Student Page - Sample

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This Lesson Set Scaffolds Instruction

for the following Grade 7

Expressions & Equations Standards...

The lesson set provides students multiple exposures

to prerequisite skills and grade level skills. This

guides learners toward the mastery of these

grade level standards.

7.EE.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7.EE.3 - Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

7.EE.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

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The Lessons Scaffold instruction for standards 7.EE.1, 7.EE.3, 7.EE.4This Lesson Set Scaffolds Instruction

for the following Grade 7

Expressions & Equations Standards...Prerequisite Skills

Grade Level Skills

LESSONS12-13

LESSONS14-15

LESSONS16-17

Identify, solve, and graph equations.

Solve one-step equations.

Add and subtract to solve equations.

LESSON OBJECTIVE: LESSON OBJECTIVE: LESSON OBJECTIVE:

LESSONS18-19

LESSONS20-23

LESSON OBJECTIVE:LESSON OBJECTIVE:

Multiply and divide

to solve equations. Identify, solve, and

graph inequalities.

InstructionStarts Here

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Post-Assessment - Teacher Lesson Plan - Sample

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Teacher Lesson Plan

152

Standards Plus® – Common Core Intervention Mathematics – Grade 7 Domain:  Expressions & Equations  Focus:  Solve/Graph Equations & Inequalities  Post‐Assessment:  4

Procedure:  Each intervention assessment is designed to be completed independently by the students.  Read the directions aloud, and ensure that students understand how to mark their answer choices.   Review:  Review the correct answers with students as soon as they are finished.     

Answers:  1. m = 99 2. vertical 3. p ≥ 10 4. w = 72 5. b ≥ 2                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   6. d > ‐6                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   

St. Ed. pg. B-31

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Post-Assessment - Student Page - Sample

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Student Page

153

Standards Plus® – Common Core Intervention Mathematics – Grade 7 Domain:  Expressions & Equations  Focus:  Solve/Graph Equations & Inequalities  Post‐Assessment:  4

 Directions:  Solve each problem.  Write your answers on the lines.  1.  Solve for m.  

3m + 19 = 316       m = _______   

2.  What type of line has no slope? _______________________________   

3.  Simplify the inequality.

p – 15 ≥ ‐5          p ≥ _______   4.  Solve for w.

6w

= 12 

  5. Simplify and graph the following inequality on the number line below.  

b – 5 ≥ ‐3 

                                                                                    ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1       0      1       2       3       4       5      6       7      8   

 

6. Simplify and graph the following inequality on the number line below.  

d + 9 < 3 

                                                                                    ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1       0      1       2       3       4       5      6       7      8   

 

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Standards Plus® Common Core Interventi on – Mathemati cs – Grade 7Expressions & Equati ons Performance Task #4

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Teacher Lesson Plan

150

Standards Plus® Common Core Intervention Mathematics – Grade 7Expressions & Equations Performance Task #4 

Lesson Objective: The students will write word problems to match given inequalities.   

Instruction:  Review the information at the top of the student page. 

Guided Practice:  Present the inequality K ≥ ‐2.  Have the students work in groups of 3‐4 to write a word problem that would be simplified using the given inequality.  Have groups share their word problems. 

Independent Practice:  Have the students work individually to write word problems to match the inequalities found at the bottom of the student page.  

Review:  Have students present their word problems to the group they worked with during Guided Practice.  Debrief as a whole class. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

St. Ed. pg. B-30Performance Task - Teacher Lesson Plan - Sample

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Standards Plus® Common Core Interventi on – Mathemati cs – Grade 7Expressions & Equati ons Performance Task #4

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Standards Plus® Common Core Intervention Mathematics – Grade 7Expressions & Equations Performance Task #4 

<  ≤  > ≥ Less than  Less than or equal to Greater than Greater than or equal to

 

≤, ≥  Graph has a filled in endpoint.                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   

 

<, >  Graph has an open endpoint.                                            ‐8     ‐7     ‐6     ‐5     ‐4     ‐3     ‐2     ‐1      0      1       2      3       4      5      6       7      8   

 

 Example:  K ≥ ‐2    Directions:  Write a word problem that would be solved using each of the following inequalities.  

1.  7 < g 

 

2.  c ≤ ‐9 

 

3.  y > 4 

 

Performance Task - Student Page - Sample

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“We have used Standards Plus Intervention for re-teaching in small groups, after-school intervention groups, English Learner Support groups

and Intervention groups during the school day. I love these materials because they offer additional lessons and re-teaching

guidance to help all students (even struggling students) obtain mastery.

Many of the students really took off academically. Several are on the Honor Roll as 6th and 7th graders and when asked, the students believe Standards Plus

Intervention /Re-Teach was the reason. Standards Plus is the best thing that has happened to my school! ”

- Academic Coach/Literacy Specialist,Lemonwood Elementary, Oxnard SD

The 140 teachers using Standards Plus Common Core Intervention in our district program are very happy with the materials.

We also appreciate all of the attention Standards Plus has given our district over the years. Our students will be

the ones who benefit.

- Coordinator of Educational Options, Ceres USD

What educators are saying aboutStandards Plus Intervention

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English Learners support materials

Training videos for Print & Digital

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17

Online Implementation support

English Learners support materials

Training videos for Print & Digital

Visit us online for immediate support

For a 15% reorder grant order by by April 2019For immediate assistance, contact Joni at extension 116

Call for the following

1-877-505-9152

Onsite training

Webinar training

Digital program support

www.standardsplus.org

We’re Here to Support You

Our commitment is your implementation success

17

Online Implementation support

English Learners support materials

Training videos for Print & Digital

Visit us online for immediate support

For a 15% reorder grant order by by April 2019For immediate assistance, contact Joni at extension 116

Call for the following

1-877-505-9152

Onsite training

Webinar training

Digital program support

www.standardsplus.org

All purchases include :

Also available :

Contact us for more information.

Page 24: SAMPLER - Standards Pluscommoncore.standardsplus.org/files/samplers/CCI-Sampler-M7.pdf36 C-‐14 8 Probability 38 C-‐15 9 Probability 40 C-‐16 10 Samples of Populations 42 C-‐17

To learn more, please contact 1.877.505.9152

Grade Language Arts A/B Topics Language Arts C/D Topics

1 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, Vocabulary, and Reading Foundational Skills

2 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, Vocabulary, and Reading Foundational Skills

3 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

4 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

5 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

6 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

7 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

8 Reading Literature, Reading Informational Text, and Writing

Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary

Grade Mathematics A/B Topics Mathematics C/D Topics

1 Operations & Algebraic Thinking andNumber & Operations in Base 10

Measurement & Data andGeometry

2 Operations & Algebraic Thinking andNumber & Operations in Base 10

Measurement & Data andGeometry

3 Operations & Algebraic Thinking andNumber & Operations – Fractions

Number & Operations in Base 10, Measurement & Data, and Geometry

4 Number & Operations in Base 10 andNumber & Operations – Fractions

Operations & Algebraic Thinking, Measurement & Data, and Geometry

5 Number & Operations in Base 10 andNumber & Operations – Fractions

Operations & Algebraic Thinking, Measurement & Data, and Geometry

6 Ratios & Proportional Relationships, The Number System, and Statistics & Probability

Expressions & Equations and Geometry

7 Ratios & Proportional Relationships, The Number System, and Expressions & Equations

Statistics & Probability and Geometry

8 Functions, The Number System, andExpressions & Equations

Statistics & Probability and Geometry

INTERVENTIONCOMMON COREStandards Plus®