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www.standardsplus.org - 1.877.505.9152 © 2016 Learning Plus Associates
1
Mathematics
INTERVENTIONCOMMON CORE
Standards Plus® Grade
7
SAMPLER
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
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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
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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
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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.
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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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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
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
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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
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Standards Plus Intervention - Math Grade 7 Lesson Index
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
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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
Common Core Standards Plus® is not licensed for duplication. Copying is illegal. © 2013 Learning Plus Associates
Resources
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
Common Core Standards Plus® is not licensed for duplication. Copying is illegal. © 2013 Learning Plus Associates
Resources
4
Expr
essi
on &
Equ
ation
s
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Pre-Assessment - Teacher Lesson Plan - Sample
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
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
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
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
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).
EE - Teacher Lesson Plan - Sample
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15Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal.
© 2014 Learning Plus Associates
Student Page
127
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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17
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
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
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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19
Post-Assessment - Student Page - Sample
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
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
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
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
Standards Plus® Common Core Intervention is not licensed for duplication. Copying is illegal. © 2014 Learning Plus Associates
Student Page
151
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! ”
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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
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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
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Capitalization, Punctuation, Spelling, Grammar & Usage, and Vocabulary
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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
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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
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Operations & Algebraic Thinking, Measurement & Data, and Geometry
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