middle school - greenup.kyschools.us 9 weeks 7t… · web viewmiddle school. 2nd nine weeks plan....

Middle School2nd Nine Weeks Plan

Course: Pre-Algebra Grade Level:7th Dates: Oct. 18th – Dec. 16th

Standard with Code: 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”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. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.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.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least$100. Write an inequality for the number of sales you need to make, and describe the solutions.7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as

the complex fraction miles per hour, equivalently 2 miles per hour.7.RP.2abcd Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and

decrease, percent error.

Domain: Expressions and Equations Ratio and Proportional Relationships

Cluster: Use properties of operations to generate equivalent expressions.Solve real-life and mathematical problems using numerical and algebraic expressions and equations.Analyze proportional relationships and use them to solve real-world and mathematical problems.

7.RP.1 _X_Knowledge 7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4ab, 7.RP.2abcd, 7.EE.3 _X_Reasoning __Performance Skill __Product

Knowledge Targets:7.EE.1 Combine like terms with rational coefficients.

7.EE.1 Factor and expand linear expressions with rational coefficients using the distributive property.

7.EE.2 Write equivalent expressions with fractions, decimals, percents, and integers.

7.EE.3 Convert between numerical forms as appropriate.

7.EE.4 Fluently solve equations of the form px + q = r and p(x + q) = r with speed and accuracy.

7.EE.4 Identify the sequence of operations used to solve an algebraic equation of the form px + q = r and p(x + q) = r.

7.EE.4 Graph the solution set of the inequality of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers.

7.RP.1 Compute unit rates associated with ratios of fractions in like or different

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

7.EE.2 Rewrite an expression in an equivalent form in order to provide insight about how quantities are related in a problem context.

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.

7.EE.3 Apply properties of operations to calculate with numbers in any form.

7.EE.3 Assess the reasonableness of answers using mental computation and estimation strategies.

7.EE.4 Use variables and construct equations to represent quantities of the form px + q = r and p(x + q) = r from real-world and mathematical problems.

Performance Skill Targets: Product Targets:

units.

7.RP.2 Know that a proportion is a statement of equality between two ratios.

7.RP.2 Define constant of proportionality as a unit rate.

7.RP.2 Recognize what (0, 0) represents on the graph of a proportional relationship.

7.RP.2 Recognize what (1, r) on a graph represents, where r is the unit rate.

7.RP.3 Recognize situations in which percentage proportional relationships apply.

7.EE.4 Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.

7.EE.4 Compare an algebraic solution to an arithmetic solution by identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? This can be answered algebraically by using only the formula for perimeter (P=2l+2w) to isolate w or by finding an arithmetic solution by substituting values into the formula.

7.EE.4 Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers.Interpret the solution set of an inequality in the context of the problem.

7.RP.2 Analyze two ratios to determine if they are proportional to one another with a variety of strategies. (e.g. using tables, graphs, pictures, etc.)

7.RP.2 Analyze tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships to identify the constant of proportionality.

7.RP.2 Represent proportional relationships by writing equations.

7.RP.2 Explain what the points on a graph of a proportional relationship means in terms of a specific situation.

7.RP.3 Apply proportional reasoning to solve multistep ratio and percent problems, e.g., simple interest, tax, markups, markdowns, gratuities, commissions, fees, percent increase and decrease, percent error, etc.

Make sense of problems and persevere in solving them.7.EE.2, 7.EE.3, 7.EE.4ab, 7.RP.3

Reason abstractly and quantitatively.7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4ab, 7.RP.2abcd, 7.RP.3

Construct viable arguments and critique the reasoning of others.7.EE.4ab

Model with mathematics.7.EE.4ab, 7.RP.2abcd

Use appropriate tools strategically.7.EE.3

Attend to precision.7.EE.1, 7.EE.2, 7.RP.1, 7.RP.2abcd, 7.RP.3

Look for and make use of structure.7.EE.1, 7.EE.4ab

Look for and express regularity in repeated reasoning. 7.RP.2abcd, 7.RP.3

College Readiness Standards:Expressions, Equations, & Inequalities (XEI)XEI301- Substitute whole numbers for unknown quantities to evaluate expressions.XEI302- Solve one-step equations having integer or decimal answers.XEI303- Combine like terms (e.g., 2x + 5x)

Graphical Representations (GRE)GRE301- Locate points on the number line and in the first quadrant.

Middle Grades Mathematics Planning

Teachers: Date: Oct. 18th – Oct. 21st 1 2 3 4

Grade: 7th Common Core #: 7.EE.1, 7.EE.2

College Readiness:XEI301, XEI303

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

7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Vocabulary: distributive property, variable, algebraic expression, evaluate, substitute, term, coefficient, like terms, unlike terms, commutative property, associative property

Weekly Plan-10

Monday: NO SCHOOL!! Tues.: Distributive Property & Expressions

6 min: Automaticity

10 min: Flashback

8 min: Homework Review

15 min: New Content1-8 Study Text

8 min: Homework

3 min: Exit Slip

Wed.: Distributive Property & Expressions

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewDistributive Prop. & Expressions


8 min: Homework

3 min: Exit Slip

Thurs: Combining Like Terms

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewDistributive Prop. & Expressions

15 min: New ContentPre-Algebra Glencoe (p.76)

8 min: Homework

3 min: Exit Slip

Friday: Combining Like Terms

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewCombining Like Terms


8 min: Homework

3 min: Exit Slip

Assessments: X Assessment Description or Commentary

Multiple Choice

Open Response

Formative Assessment

X Flashback, Exit Slips

Technology: Slate, Overhead Projector, PowerPoint Presentations

Interventions: Students will receive modifications according to their IEPs. Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams.


Teachers: Date: Oct. 24th – Oct. 28th 1 2 3 4

Grade: 7th Common Core #: 7.EE.2, 7.EE.3, 7.EE.4a

College Readiness:XEI302, XEI303

Standard with Code: 7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”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. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.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.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Vocabulary: distributive property, variable, algebraic expression, evaluate, substitute, term, coefficient, like terms, unlike terms, commutative property, associative property, integers, negative integers, positive integers, equation, solution, addition property of equality, subtraction property of equality, inverse operations, multiplication property of equality, division property of equality

Weekly Plan-11

Mon.: Combining Like Terms

6 min: Automaticity

10 min: Flashback



Tues: Multi-Step Real-Life Integer Problems

6 min: Automaticity

10 min: Flashback



Wed.: Multi-Step Real-Life Integer Problems

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewMulti-Step Real-Life Integer Problems

15 min: New Content

Thurs.: Learning Check6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewMulti-Step Real-Life Integer Problems

Fri.: One-Step Equations (Distributive Prop.)6 min: Automaticity

10 min: Flashback


15 min: New Content3-2 & 3-3 Study Text (lab in text)

8 min: Homework

3 min: Exit Slip

8 min: Homework

3 min: Exit Slip

Pre-Algebra Glencoe (p.28)

8 min: Homework

3 min: Exit Slip

8 min: Homework

3 min: Exit Slip


Multiple Choice X 10 multiple choice

Open Response X 1 open response






Teachers: Date: Oct. 31st – Nov. 4th 1 2 3 4

Grade: 7th Common Core #: 7.EE.4ab

College Readiness:XEI302, GRE301

Standard with Code: 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.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least$100. Write an inequality for the number of sales you need to make, and describe the solutions.

Vocabulary: distributive property, variable, algebraic expression, evaluate, substitute, term, coefficient, like terms, unlike terms, commutative property,

associative property, integers, negative integers, positive integers, equation, solution, addition property of equality, subtraction property of equality, inverse operations, multiplication property of equality, division property of equality, inequality, solution set, less than, greater than, number line

Weekly Plan-12

Mon.: Two-Step Equations (Distributive Prop)

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewOne-Step Equations (Distributive Prop.)

15 min: New Content8-2 8th Grade Study Text & math.com worksheet generator

8 min: Homework

3 min: Exit Slip

Tues.: Two-Step Equations (Distributive Prop)

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewTwo-Step Equations (Distributive Prop)


8 min: Homework

3 min: Exit Slip

Wed.: Two-Step Equations (Distributive Prop)

6 min: Automaticity

10 min: Flashback



8 min: Homework

3 min: Exit Slip

Thurs.: One-Step Inequalities & Graph

6 min: Automaticity

10 min: Flashback


15 min: New Content6th Grade Study Text (12-4 extension on page 655 and 656)

8 min: Homework

3 min: Exit Slip

Fri.: Two-Step Inequalities & Graph

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewOne-Step Inequalities & Graph

15 min: New ContentPre-Algebra Glencoe 7-6 & Study Text 3A 8 min: Homework

3 min: Exit Slip


Multiple Choice

Open Response






Teachers: Date: Nov. 7th – Nov. 11th 1 2 3 4

Grade: 7th Common Core #: 7.EE.4b, 7.RP.1

College Readiness:GRE301

Standard with Code: 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.b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least$100. Write an inequality for the number of sales you need to make, and describe the solutions.7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the

complex fraction miles per hour, equivalently 2 miles per hour.

Vocabulary: distributive property, variable, evaluate, substitute, term, coefficient, like terms, unlike terms, commutative property, associative property, integers, negative integers, positive integers, equation, solution, addition property of equality, subtraction property of equality, inverse operations, multiplication property of equality, division property of equality, inequality, solution set, less than, greater than, ratio, rates, unit rates

Weekly Plan-13

Mon.: Two-Step Inequalities & Graph

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewTwo-Step Inequalities & Graph15 min: New ContentPre-Algebra Glencoe 7-6 & Study Text 3A

8 min: Homework

Tues.: ELECTION DAY!!! Wed.: Two-Step Inequalities & Graph

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewTwo-Step Inequalities & Graph15 min: New ContentPre-Algebra Glencoe 7-6 & Study Text 3A

8 min: Homework

Thurs.: Learning Check

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewTwo-Step Inequalities & Graph

Fri.: Unit Rates (Include frac/frac)

6 min: Automaticity

10 min: Flashback



8 min: Homework

3 min: Exit Slip

3 min: Exit Slip 3 min: Exit Slip









Teachers: Date: Nov. 14th – Nov. 18th 1 2 3 4

Grade: 7th Common Core #: 7.RP.1, 7.RP.2b, 7.RP.2d

College Readiness:GRE301

Standard with Code: 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the

complex fraction miles per hour, equivalently 2 miles per hour.7.RP.2abcd Recognize and represent proportional relationships between quantities.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Vocabulary: ratio, rates, unit rates, slope, rise, run, coordinates, rate of change

Weekly Plan-14

Mon.: Unit Rates (Include frac/frac)

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewUnit Rates (Include frac/frac)

15 min: New Content allthink.com

8 min: Homework

3 min: Exit Slip

Tues.: Unit Rates In Tables/Slope

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewUnit Rates (Include frac/frac)

15 min: New Content6-3 Resource Masters

8 min: Homework

3 min: Exit Slip

Wed.: Unit Rates In Tables/Slope

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewUnit Rates In Tables/Slope

15 min: New Content6-3 Resource Masters

8 min: Homework

3 min: Exit Slip

Thurs.: Slope

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewUnit Rates In Tables/Slope

15 min: New ContentStudy Text 6-3

8 min: Homework

3 min: Exit Slip

Fri.: Slope

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewSlope

15 min: New Content Pre-Alg (p.411)& Glencoe course 3 (p.481)

8 min: Homework

3 min: Exit Slip


Multiple Choice

Open Response






Teachers: Date: Nov. 21st – Nov. 25th 1 2 3 4

Grade: 7th Common Core #: 7.RP.2a, 7.RP.2c

College Readiness:

Standard with Code: 7.RP.2abcd Recognize and represent proportional relationships between quantities.

a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

Vocabulary: ratios, equivalent ratios, proportional, proportions, cross multiply, cross product

Weekly Plan-15

Mon.: Equivalent Ratios/ Proportional

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewSlope

15 min: New Content 6-1 Study Text

8 min: Homework

3 min: Exit Slip

Tues.: Equivalent Ratios/ Proportional

6 min: Automaticity

10 min: Flashback

8 min: Homework Review Equivalent Ratios/ Proportional

15 min: New Content 6-1 Study Text

8 min: Homework

3 min: Exit Slip

Wed.: Proportions as Equations (after cross Multiplying)

6 min: Automaticity10 min: Flashback

8 min: Homework ReviewEquivalent Ratios/ Proportional

15 min: New ContentPre-Alg (p.294)& Glencoe course 3 (6-6 p.210)

8 min: Homework

3 min: Exit Slip

Thursday: THANKSGIVING!! Friday: NO SCHOOL!!!


Multiple Choice

Open Response




Interventions: Students will receive modifications according to their IEPs. Flashbacks will be used as a daily re-teaching strategy to cover

material most often missed from bi-weekly exams.


Teachers: Date: Nov. 28th – Dec. 2nd 1 2 3 4

Grade: 7th Common Core #:7.RP.3

College Readiness:

Standard with Code: 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Vocabulary: percent, interest, simple interest, principal, rate of interest, tax, commission, gratuities, fees

Weekly Plan-16

Mon.: Simple Interest

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewProportions as Equations (after cross Multiplying)

15 min: New ContentGlencoe course 3 5-9 (p.290) 7-8 Study Text

8 min: Homework

3 min: Exit Slip

Tues.: Simple Interest

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewSimple Interest

15 min: New ContentGlencoe course 3 5-9 (p. 290) 7-8 Study Text

8 min: Homework

3 min: Exit Slip

Wed.: Tax, Commissions, Gratuities, Fees

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewSimple Interest

15 min: New ContentGlencoe Math Connects ( 7-6, 7-7) & Resource Masters

8 min: Homework

3 min: Exit Slip

Thurs.: Tax, Commissions, Gratuities, Fees

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewTax, Commissions, Gratuities, Fees

15 min: New Content Glencoe Math Connects (7-6, 7-7) & Resource Masters

8 min: Homework

3 min: Exit Slip

Fri.: Tax, Commissions, Gratuities, Fees

6 min: Automaticity

10 min: Flashback


15 min: New Content Glencoe Math Connects (7-4, 7-6, 7-7) & Resource Masters

8 min: Homework

3 min: Exit Slip









Teachers: Date: Dec. 5th – Dec. 9th 1 2 3 4

Grade: 7th Common Core #:7.RP.3

College Readiness:

Standard with Code: 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Vocabulary: percent, tax, commission, gratuities, fees, markup, markdown, percent of change, percent of increase, percent of decrease, percent error

Weekly Plan-17

Mon.: Learning Check

6 min: Automaticity

10 min: Flashback


Tues.: Markups/Markdowns % Increase/ % Decrease

6 min: Automaticity

10 min: Flashback


15 min: New ContentGlencoe Math Connects

Wed.: Markups/Markdowns % Increase/ % Decrease

6 min: Automaticity

10 min: Flashback

8 min: Homework Review Markups/Markdowns % Increase/ % Decrease

Thurs.: Markups/Markdowns % Increase/ % Decrease

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewMarkups/Markdowns % Increase/ % Decrease

Fri.: Percent Error

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewMarkups/Markdowns % Increase/ % Decrease

15 min: New Content mrnorton.com

(7-6 Page 369) & Resource Masters

8 min: Homework

3 min: Exit Slip

15 min: New ContentGlencoe Math Connects (7-6 Page 369) & Resource Masters

8 min: Homework

3 min: Exit Slip

15 min: New ContentGlencoe Math Connects (7-6 Page 369) & Resource Masters

8 min: Homework

3 min: Exit Slip

8 min: Homework

3 min: Exit Slip


Multiple Choice

Open Response






Teachers: Date: Dec. 12th – Dec. 16th 1 2 3 4

Grade: 7th Common Core #:7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4, 7.RP.1, 7.RP.2, 7.RP.3

College Readiness:XEI301, XEI302, XEI303, GRE301

Standard with Code: 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”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. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.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.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least$100. Write an inequality for the number of sales you need to make, and describe the solutions.7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the

complex fraction miles per hour, equivalently 2 miles per hour.7.RP.2abcd Recognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Vocabulary: percent, percent error, SEE PREVIOUS WEEKS

Weekly Plan-18

Mon.: Percent Error/ Review

6 min: Automaticity

Tues.: Learning Check

6 min: Automaticity

Wed.: Review for Final

6 min: Automaticity

Thurs.: Final

6 min: Automaticity

Fri.: Final(Test Analysis)

6 min: Automaticity

10 min: Flashback

8 min: Homework ReviewPercent Error15 min: New Content Resource Material

8 min: Homework

3 min: Exit Slip

8 min: Homework ReviewPercent Error

30 min: Flashback/review 8 min: HomeworkStudy for Final

8 min: Homework ReviewStudy for Final

30 min: Flashback/review 8 min: HomeworkStudy for Final

10 min: Flashback


15 min: New Content 8 min: Homework

3 min: Exit Slip


Multiple Choice X

Open Response X





middle school - greenup.kyschools.us 9 weeks 7t… · web viewmiddle school. 2nd nine weeks plan....

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