[PDF] GRADE 7 MATHEMATICS - Pinellas County Schools

2598_620212022Grade7MathematicsCurriculumGuide.pdf

Pinellas County Schools 2021-2022

GRADE 7 MATHEMATICS

1205040

Instructional Resource: McGraw-Hill: Florida Math, Course 2, ©2015

Course Pacing

Unit of Instruction # of Days Dates of Instruction

Essential Skills Review: 6

th Grade Content 5 8/16 - 8/20

Unit 1: Number Sense

Intervention Days

10 2

8/23 - 9/3

9/7 - 9/8

Unit 2: Rational Numbers

Intervention Days

Progress Monitoring (Units 1 & 2)

13 2 1

9/9 - 9/27

9/28 -9/29 9/30

Unit 3: Expressions 10 10/1 - 10/15

Unit 4: Equations & Inequalities

Intervention Days (Units 3 & 4)

13 2

10/18 - 11/3

11/4 - 11/5

Unit 5: Proportional Relationships

Intervention Days

(Thanksgiving Break is 11/20 - 11/28) 15 2

11/8 - 12/3

12/6 - 12/7

Semester Review 3 12/8 - 12/10

Semester Exam (Units 1-5) 1 12/13 - 12/17

Intervention Days

Unit 6: Ratios & Percentages

Intervention Days

2 12 2

1/6 - 1/6

1/7 - 1/25

1/26 - 1/27

Unit 7: Two-Dimensional Figures 12 1/28 - 2/14

Unit 8: Three-Dimensional Figures

Intervention Days (Units 7 & 8(

11 3

2/15 - 3/8

3/9 - 3/11

Unit 9: Data Analysis 14 3/22 - 4/8

Unit 10: Probability

Intervention Days (Units 9 & 10)

11 3

4/11 - 4/26

4/27 - 4/29

Grade 7 Math FSA 2 5/2 - 5/26

Pinellas County Schools

GRADE 7 MATHEMATICS

2021-2022
23
45

634567

910111213MA.6.NSO.1.1MA.6.AR.1.41011121314

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2526272829MA.7.AR.2.1MA.7.AR.2.228293031

MA.7.DP.2.1MA.7.DP.2.3

12345MA.7.DP.2.2MA.7.DP.2.41

89101112MA.7.AR.4.1MA.7.AR.4.445678

1516171819MA.7.AR.4.2MA.7.AR.4.51112131415

2223242526MA.7.AR.4.3MA.7.GR.1.51819202122

29302526272829

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678910910111213

13141516171617181920

20212223242324252627

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January 2022

December 2021

November 2021October 2021

September 2021

August 2021Building Community in the Math ClassroomRe-Building Community in the Math Classroom

May 2022

April 2022

March 2022

Unit 3: Expressions

Essential Skills Review: 6th Grade Content

Unit 1: Number Sense

Unit 2: Rational Numbers

Grade 7 Math FSA

State Window: May 2 - May 26

Non-Teacher Day

Non-Student Day

February 2022

Intervention Days 9/28 - 9/29

Progress Monitoring (Units 1 & 2) 9/30

Midterm Exam

(Units 1-5)

Window: Dec. 14-Dec. 17

Unit 4: Equations & Inequalities

Intervention Days (Units 3 & 4) 11/4 - 11/5 Unit 5: Proportional Relationships

Intervention Days 12/6 - 12/7

Semester Review

Unit 8: Three-Dimensional Figures

Intervention Day (Units 7 & 8) 3/9 - 3/11

Unit 9: Data Analysis

Unit 10: Probability

Intervention Days (Units 9 & 10) 4/27 - 2/29

Intervention Days 9/7 - 9/10

Intervention Days 1/5 - 1/6

Unit 6: Ratios & Percentages

Intervention Days 1/26 - 1/27

Unit 7: Two-Dimensional Figures

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Essential Skills Review: 6th Grade Content

Standards Aligned Instruction 5 days August 16 ʹ August 20

Standards Content Limits

MA.6.NSO.1.1 Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers. Items requiring the student to plot, order, and/or compare numbers in the same form must contain at least one negative value. Items requiring the student to plot, order, and/or compare numbers in different forms are limited to fractions that result in a terminating decimal.

ƚĞŵƐŵĂLJƵƐĞƚŚĞǁŽƌĚƐ͞ŝƐůĞƐƐƚŚĂŶ͕͟͞ŝƐ

ŐƌĞĂƚĞƌƚŚĂŶ͕͟Žƌ͞ŝƐĞƋƵĂůƚŽ͘͟

Calculator: NEUTRAL

Context: MATHEMATICAL

MA.6.NSO.1.2 Given a mathematical or real-world context, represent quantities that have opposite direction using rational numbers. Compare them on a number line and explain the meaning of zero within its context. Example: Jasmine is on a cruise and is going on a scuba diving excursion. Her elevations of 10 feet above sea level and 8 feet below sea level can be compared on a number line, where 0 represents sea level. Items will not require the student to perform operations. Items may use, but are not limited to, contexts involving distance, temperature, or finance.

Calculator: NEUTRAL

Context: BOTH

MA.6.NSO.1.3 Given a mathematical or real-world context, interpret the absolute value of a number as the distance from zero on a number line. Find the absolute value of rational numbers. Items will not require the student to perform operations. Items may use, but are not limited to, contexts involving distance, temperature, or finance.

Calculator: NEUTRAL

Context: BOTH

MA.6.NSO.1.4 Solve mathematical and real-world problems involving absolute value, including the comparison of absolute value. Example: Michael has a lemonade stand which costs $10 to start up. If he makes $5 the first day, he can determine whether he made a profit so far by comparing ȁെͳͲȁ and ȁͷȁ. Items may use, but are not limited to, contexts involving distance, temperature, or finance.

Calculator: NEUTRAL

Context: BOTH

MA.6.AR.1.4 Apply properties of operations to generate equivalent algebraic expressions with integer coefficients. Example: The expression ͷሺ͵ݔ൅ͳሻ can be rewritten equivalently as

ͳͷݔ൅ͷ.

Example: If the expression ʹݔ൅͵ݔ represents the profit the cheerleading team can make when selling the same number of cupcakes, sold for $2 each, and brownies, sold for $3 each. The expression ͷݔ can express the total profit. Items must include an expression with only one or two variables where coefficients, factors, and terms are integers only. Items will require the student to use one, all, or a combination of the associative property, distributive property, commutative property, or arithmetic operations to generate equivalent expressions.

Calculator: NEUTRAL

Context: BOTH

MA.6.AR.2.2 Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers.

Example: The equations െ͵ͷ൅ݔൌͳ͹ and ͳ͹െݔൌെ͵ͷ can

ƌĞƉƌĞƐĞŶƚƚŚĞƋƵĞƐƚŝŽŶ͞ŽǁŵĂŶLJƵŶŝƚƐƚŽƚŚĞƌŝŐŚƚŝƐϭϳĨƌŽŵ-35

ŽŶƚŚĞŶƵŵďĞƌůŝŶĞ͍͟ Items will require the student to solve an equation or write and solve an equation. Items must incorporate a negative integer in either the given equation or the solution. Equations will be represented in the form ݔ൅ ݌ൌݍ or ݌൅ݔൌݍ, where x, p, and q are any integer

Calculator: NEUTRAL

Context: BOTH

MA.6.AR.2.3 Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers. Items will require the student to solve an equation or write and solve an equation. Equations will be represented in the form ݌ݔൌݍ or ௫ ௣ൌݍ, where ݌്Ͳ. Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022 MA.6.AR.2.4 Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position.

Example: Given the equation ଽ

଼ൌݔെଵ ଼, x can be determined to be ଵ଴ ଼ because ଵ଴ ଼ is ଵ ଼ more than ଽ ଼. Items will not require the student to relate numbers in different forms.

Calculator: NONE

Context: MATHEMATICAL

MA.6.NSO.1.1ʹ IXL Aligned Skills (B.E.S.T.)

15. Rational numbers on number line (DJE)

16. Put rational numbers in order (KQV)

17. Compare rational numbers (8ZH)

MA.6.NSO.1.2 ʹ IXL Aligned Skills (B.E.S.T.)

1. Understanding integers (8EP)

2. Understanding opposite integers (X8L)

3. Rational numbers: find the sign (V2E)

4. Compare temperatures above and below zero (UVD)

MA.6.NSO.1.3 ʹ IXL Aligned Skills (B.E.S.T.)

1. Understanding absolute value (TLR)

2. Absolute value (2YZ)

3. Absolute value of rational numbers (KGX)

MA.6.NSO.1.4 ʹ IXL Aligned Skills (B.E.S.T.)

1. Integer inequalities with absolute value (4A8)

2. Absolute value and integers: word problems (9CW)

MA.6.AR.1.4 ʹ IXL Aligned Skills (B.E.S.T.)

1. Multiply using the distributive property: area models (7XM)

2. Multiply using the distributive property (2HH)

3. Factor using the distributive property (PGZ)

4. Write equivalent expressions using properties (R8H)

5. Identify equivalent expression I (KFG)

6. Identify equivalent expressions II (HTG)

MA.6.AR.2.2 ʹ IXL Aligned Skills (B.E.S.T.)

1. Write and solve equations that represent diagrams (FSQ)

2. Solve one-step addition and subtraction equations with whole numbers (JXM)

3. Model and solve addition equations using algebra tiles (3U7)

MA.6.AR.2.3 ʹ IXL Aligned Skills (B.E.S.T.)

1. Write and solve equations that represent diagrams (FSQ)

2. Solve one-step multiplication and division equations with whole numbers (JUA)

3. Solve one-step equations with whole numbers (WLR)

4. Model and solve multiplication equations using algebra tiles (GB6)

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

MA.6.AR.2.4 ʹ IXL Aligned Skills (B.E.S.T.)

1. Solve one-step multiplication and division equations with decimals, fractions, and whole numbers (T53)

2. Solve one-step equations: word problems (BXY)

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Unit 1: Number Sense

Standards Aligned Instruction 10 days August 23 - September 3

Intervention 2 days September 7 - September 8

The 2021-2022 school year we are transitioning from the Florida Mathematics Standards (MAFS) to the B.E.S.T. standards (MA).

In the unit guides we have identified which B.E.S.T. standard matches with which MAFS standard(s).

Standards Content Limits

MA.7.NSO.1.1 Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical

expressions, limited to whole-number exponents and rational number bases.

Clarification 1: Instruction focuses on building the Laws of Exponents from specific examples. Refer to the K-12 Formulas

(Appendix E) for the Laws of Exponents. Clarification 2: Problems in the form ௔ ೙ ௔ ೘ ܽ ௣ , must result in a whole-number value for ݌. Items requiring the student to evaluate numerical expressions must incorporate at least one Law of

Exponents.

Items will require students to generate and equivalent expression or generate and evaluate an expression.

Calculator

: NEUTRAL

Context: MATHEMATICAL

MA.7.NSO.1.2 Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real -world problems. Items will focus on rewriting fractions that result in repeating decimals only. Repeating decimals are limited to no more than two repeating digits. Items will not focus only on rewriting fractions in mixed number form or improper form.

Calculator: NEUTRAL Context: BOTH

Essential Vocabulary

Vocabulary Definition/Description

Bar Notation A bar used to annotate a number that will repeat after the decimal. Base

A number that is raised to a power or exponent.

Example:

ଷ 5 is the base

Decimal

A part of a whole. The wholes are before the decimal points, the parts are after the decimal point. The digits after the decimal point are all smaller than 1

Equivalent

Another word or equal. Numbers can be written in different, but equivalent forms.

Example:

ଵ 6

Exponent/Power

The number in an expression that will tell you how many times you will multiply the base. Example: ଷ 3 is the exponent. It tells you that you will simplify ήή

Fraction

A part of a whole. The denominator tells you the whole, and numerator tells you the part.

Improper Fraction

A fraction that is greater than 1; The numerator will be larger than the denominator.

Example:

ଵସ 7 Integers All whole numbers and their opposites Inverse

Another word for opposite.

Examples: The inverse of 3 is -3. The inverse of addition is subtraction.

Mixed Number

A number that is greater than 1; written as a whole number and fraction.

Example:

ଶ 7 Percent A part of a whole. Based around a fractional part of 100. (100% is the whole) Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Product The answer to a multiplication problem

Quotient The answer to a division problem

Repeating Decimal

A decimal that does not terminate (stop) but repeats in a pattern. These decimals can be written as a fraction.

Example: 0.45

തതതത = ସହ == = ଵହ 77 Terminating Decimal A decimal that stops or ends Example: 0.45

Rational number

Any number that can be written as a fraction. All integers, fractions, whole numbers, and terminating and repeating decimals.

MA.7.NSO.1.1

Connections between B.E.S.T. and Florida Standards

B.E.S.T. Florida Standards

Know and apply the Laws of Exponents to evaluate

numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rational number bases.

MAFS.8.EE.1.1 Know and apply the properties of

integer exponents to generate equivalent numerical expressions. Instructional Learning Objectives Instructional Resources Objective 1: Identify bases/exponents. Explain what they mean. 5 ଷ =5ή5ή5 ݃ ଺ =݃ή݃ή݃ή݃ή݃ή݃ Objective 2: Multiplying expressions with the same base

ܽ

௠ ܽ ௡ ܽ= ௠ା௡ Objective 3: Dividing expressions with the same base ௔ ೘ ௔ ೙ ܽ= ௠ି௡

Objective 4: Raising a Power to a Power

(ܽ ௠ ) ௡

ܽ=

௠ή௡

Objective 5: Zero Power

ܽ ଴ =1

Objective 6: Negative Exponents

ܽ ି௠ = ଵ ௔ ೘ Objective 7: Different Bases Raised to the Same Power ܽ ௡ ܾ ௡ =(ܽήܾ ௡ Objective 8: Identify equivalent expressions with variables and exponents.

McGraw Hill

Course 3, Chapter 1 Lesson 3, 4 and 5

IXL

Understand Negative Exponents

(YBB)

Multiplication with Exponents (EQY)

Division with Exponents (M2C)

Multiplication and Division with Exponents (L2J)

Power Rule (AEQ)

Evaluate Expressions using Properties of Exponents (UTY) Identifying Equivalent Expressions Involving Exponents

I (VLM)

Identifying Equivalent Expressions Involving Exponents

II (QDM)

EngageNY

Grade 8, Module 1, Topic A, Lesson 1

Students understanding exponential notation.

Grade 8, Module 1, Topic A, Lesson 2

Students simplify exponential expressions.

Grade 8, Module 1, Topic A, Lesson 3

Students learn powers of powers .

Grade 8, Module 1, Topic A, Lesson 4

Students take a base and raise

it to the zero power.

Grade 8, Module 1, Topic A, Lesson 5

Students learn about negative exponents.

Grade 8, Module 1, Topic A, Lesson 6

Students learn about integer exponents.

MARS/Shell Tasks

Applying Properties of Exponents [Classroom

Challenge]

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Estimating Length Using Scientific Notation

[Classroom Challenge] Generalizing Patterns: The Difference of Two Squares [Classroom Challenge]

How old are they? [Summative Task]

A Million Dollars [Summative Task]

100 People [Summative Task]

Short Tasks

- Expressions and Equations [Summative

Task]

Ponzi Pyramid Schemes [Summative Task]

Giantburgers [Summative Task]

Illustrative Math

Video: Multiplying Powers of Ten

Video: Powers of Powers of 10

Video: Dividing Powers of 10

Video: Negative Exponents with Powers of 10 and

What about Other Bases?

Video: Combining Bases

Learnzillion

Evaluate Expressions with Exponents Using Order of

Operations

Better Lessons

Understand that Negative Exponent Occur When

There are More Factors in the Denominator; Use

Properties of Exponents to Generate Equivalent

Expressions

Us e the Properties of Integer Exponents to Generate

Equivalent Expressions

Sample Problems:

1) Simplify the following expression so all exponents are positive.

௘ ల ௘ షమ e 4

2) Which expression is equivalent to

ଵ ଶ଻ ? A. 3 ଵ ή3 ିଵ଴ B. 3 ିଵ ή3 ଵ଴ C. 3 ିସ ή3 ଻ D. 3 ସ ή3 ି଻ D

3) Select all the expressions equivalent to (4

ଷ ) ଶ ή4 ଶ . ප2 ଵସ ප2 ଵ଺ ප4 ଼ ප4 ଵଶ ප16 ସ ප16 ଼ 2 16 , 16 4 Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

MA.7.NSO.1.2

Connections between B.E.S.T. and Florida Standards

B.E.S.T. Florida Standards

Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real -world problems.

MAFS.7.NS.1.2 Apply and extend previous

understandings of multiplication and division and of fractions to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. Instructional Learning Objectives Instructional Resources To rewrite equivalent forms of rational numbers.

Objective 1:

Convert fractions to decimals

and percents. ¾, .75, 75%

Objective 2:

Convert decimals to fractions

and percents. .5, ½, 50%

Objective 3:

Convert percents to decimals and

fractions. 25%, .25, ¼

McGraw Hill

Course 2, Volume 1, Unit 2, Chapter 4

IXL

Convert between mixed numbers and improper

fractions (LGK) C onvert fractions or mixed numbers to decimals (M2D) Convert decimals to fractions or mixed numbers (HZD)

Convert between decimals and fractions or mixed

numbers (8XE) Convert between percents, fractions, and decimals (2HW)

MARS/Shell Tasks

Maximizing Profit: Selling Soup [Classroom Challenge]

Optimizing Coverage: Security Cameras [Classroom

Challenge]

Sharing Costs Equitabl

y: Traveling to School [Classroom Challenge] Using Proportional Reasoning [Classroom Challenge]

Security Camera [Summative Task]

Learnzillion

Video: Multiplying Rational Numbers

Video: Dividing Rational Numbers

Video: Introducing Double Number Line Diagrams

Video: Finding This Percent of That

Sample Problems:

Justin is solving a problem where he computes and his calculator gives him the answer 5.6666666667. Justin makes the statement that =5.6666666667; is he correct?

Technically no, because the fraction will repeat with 6"s forever. However, it is reasonable assessment of the

fraction because it was rounded by the calculator. Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Unit 2: Rational Numbers

Standards Aligned Instruction 13 days September 9 - September 27 Intervention 2 days September 28 - September 29 Progress Monitoring 1 day September 30

The 2021-2022 school year we are transitioning from the Florida Mathematics Standards (MAFS) to the B.E.S.T. standards (MA).

In the unit guides we have identified which B.E.S.T. standard matches with which MAFS standard(s).

Standards Content Limits

MA.7.NSO.2.1 Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols,

whole-number exponents and absolute value. Clarification 1: Multi-step expressions are limited to 6 or fewer steps. Numerical expressions must be given and must include the use of nested grouping, exponents, and/or absolute value. Decimals given in expression are limited to the hundredths place or less. Whole number exponents are limited to a value of three or less.

Calculator: NONE

Context: MATHEMATICAL

Recommend to be taught prior to 7.NSO.2.1

MA.7.NSO.2.2 Add, subtract, multiply and divide rational numbers with procedural fluency. Numerical expressions must be given. Values in expressions must incorporate at least one negative value and/or rational numbers represented in various forms.

Calculator: NONE

Context: MATHEMATICAL

MA.7.NSO.2.3 Solve real-world problems involving any of the four operations with rational numbers. Clarification 1: Instruction includes using one or more operations to solve problems. Items will incorporate at least one negative value and/or rational numbers represented in various forms. Items are not limited to one procedural step.

Calculator: NEUTRAL Context: REAL-WORLD

Essential Vocabulary

Vocabulary Definition/Description

Absolute Value

All rational numbers can be plotted on a number line. When a number is plotted on the number line, the absolute value is the distance from the number plotted and 0. Absolute Value is always expressed as a positive number. It is expressed with vertical bars, ie |-7|, therefore the absolute value is 7. Additive Inverse Two numbers whose sum is 0 when added together. Opposite numbers are additive inverses. 17 and -17 are additive inverses because െ

Associative Property

You may add or multiply regardless of how the numbers are grouped. You may regroup (move parenthesis) and still get the same answer, only in addition and multiplication.

Commutative Property

You may change the order of the numbers in a multiplication or addition problem and you will still get the same answer.

Distributive Property

Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Exponents

A symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.

Grouping Symbols Parenthesis or brackets to indicate the first step in solving an expression.

Opposites

Two numbers are opposites if they are the same distance from zero on the number line and on opposite sides. The number zero is its own opposite.

Order of Operations

A set of rules that outlines what operations to perform first to evaluate an expression. (Mnemonics: GEMA or PE M/D A/S) Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022 *GEMA: Grouping Symbols, Exponents, Multiplicative Operations, Additive

Operations.

*PEMDAS: Parenthesis; Exponents; Multiplication/Division LEFT to RIGHT;

Addition/Subtraction LEFT to RIGHT

Rational Numbers

Numbers that include decimals, fractions and negative numbers. Rational numbers can always be expressed in fractional form.

MA.7.NSO.2.1

Connections between B.E.S.T. and Florida Standards

B.E.S.T. Florida Standards

Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.

MAFS.7.NS.1.1 Apply and extend previous

understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal and vertical number line diagram. a. Describe situations in which opposite quantities combine to make 0. Understand p+q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0. b. Apply properties of operations as strategies to add and subtract rational numbers.

MAFS.7.NS.1.

2 Apply properties of operations as strategies to multiply and divide r ational numbers.

MAFS.7.NS.1.3

Solve real world and mathematical problems involving the four operations with rational numbers. Instructional Learning Objectives Instructional Resources

Objective 1: Complete order of operations of

problems correctly & consistently.

Objective 2:

Understand multiplication and division is

one step left to right.

Objective 3:

Understand addition and subtraction is

one step left to right.

Objective 4:

Be fluent in solving mathematical

problems with rational numbers including fractional numbers in problems.

McGraw Hill Textbook

Course 2, Chapter 3, Lesson 1

CPALMS

MEA NASA Salaries

- Students work on open-ended questions within set parameters. IXL

Absolute Value and Opposite Integers

(NSB) Absolute Value and integers: Word Problems (9CW)

Absolute value of Rational Numbers (KGX)

Evaluate numerical expressions involving integers (7YN) Evaluate numerical expressions involving decimals (FNM) Evaluate numerical expressions involving fractions (XXQ) Evaluate numerical expressions involving exponents (D7P)

Quantities combined to make zero (7SP)

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022 Identifying Mistakes Involving the Order of Operations (V46)

Evaluate Numerical Expressions (Z5N)

Evaluate multi

-variable expressions (HC9) Evaluate variable expressions with decimals, fractions and mixed numbers (49T)

Engage NY

Grade 6, Module 3, Topic B, Lesson 11

Learning and applying absolute value.

Grade 6, Module 3, Topic B, Lesson 13

Solving problems involving absolute value.

Illustrative Mathematics

Operations on the Number Line

Distances on a Number Line

Khan Academy

Order of Operations

- Video and problem set for solving order of operations with negative numbers.

Absolute Value

Mars/Shell

A Day Out Task

Analyze the results of a survey in order to plan a school trip.

Using Positive and Negative Numbers in Context

Use directed numbers in context. Identify and aid in ordering, comparing, adding, and subtracting positive and negative integers.

Better Lesson

Problem Solving with Rational Numbers

Nearpod

Order of Operations with Rational Numbers

Sample Problems:

Solve.

|െ14| + (15 - 2 ଶ + 9) • െ20 10 -38.6

MA.7.NSO.2.2

Connections between B.E.S.T. and Florida Standards

B.E.S.T. Florida Standards

Add, subtract, multiply and divide rational numbers with procedural fluency.

MAFS.7.NS.1.1 Apply and extend previous

understandings of addition and subtraction to add and subtract rational numbers; represent addition and Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022 subtraction on a horizontal and vertical number line diagram.

MAFS 7.NS.1.2

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Instructional Learning Objectives Instructional Resources Objective 1: Add, fractions, decimals, and integers.

Objective 2:

Subtract fractions, decimals and integers.

Objective 3: Multiply fractions, decimals and integers. Objective 4: Divide fractions, decimals and integers.

McGraw Hill Textbook

Course 2, Chapter 3, Lesson 2

Course 2, Chapter 3, Lesson 3

Course 2, Chapter 3, Lesson 4

Course 2, Chapter 3, Lesson 5

Course 2, Chapter 4, Lesson 3

Course 2, Chapter 4, Lesson 4

Course 2, Chapter 4, Lesson 5

Course 2, Chapter 4, Lesson 6

Course 2, Chapter 4, Lesson 8

CPALMS

MEA NASA Salaries

- Students work on open-ended questions within set parameters. IXL

Add Subtract Divide Integers

(B8A)

Integer Addition Rules (ERH)

Add Integers using Number Lines (A63)

Integer addition and Subtraction Rules (6EV)

Apply Integer and Subtraction Rules (Y8T)

Add & Subtract Positive and Negative Decimals (WCZ)

Add & Subtract Positive

and Negative Fractions (SD2)

Add & Subtract Rational Numbers (GKU)

Integer Multiplication & Division Rules (5R8)

Apply Multiplication & Division Rules (V5V)

Multiply and Divide Integers (R8D)

Multiply Decimals (TCU)

Divide Decimals (6HB)

Multiply Fractions (PDK)

Divide Fractions (X7A)

Multiply Mixed Numbers (JNY)

Divide Mixed Numbers (UPF)

Multiply and Divide Positive and Negative Decimals (K7V) Multiply and Divide Positive and Negative Fractions (2B5)

Multiply and Divide Rational Numbers (BXW)

Engage NY

Grade 7, Module 2, Topic A, Lesson 1

Students add positive numbers and learn additive

inverse.

Grade 7, Module 2, Topic A, Lesson 4

Students use absolute value to solve problems.

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Grade 7, Module 2, topic A, Lesson 7

Students recognize the rules also apply to rational numbers.

Grade 7, Module 2, Topic B, Lesson 10

Student play a game in this introductory lesson to multiplying integers.

Grade 7, Module 2, Topic B, Lesson 11

Students become familiar with the rules of

multiplication.

Grade 7, Module 2, Topic B, Lesson 12

Students recognized division is the reverse process of multiplication.

Grade 7, Module 2, Topic B, Lesson 15

Students recognize the rules of integers apply to rational numbers.

Grade 7, Module 2, Topic B, Lesson 16

Students are challenged to expand multiplication out with several terms.

Khan Academy

Intro to adding negative number

s

Intro to subtracting negative numbers

Illustrative Mathematics

Operations on the Number Line

Distances on a Number Line

Mars/Shell

A Day Out Task

Analyze the results of a survey in order to plan a school trip.

Using Positive and Negative Numbers in Context

Use directed numbers in context. Identify and aid in ordering, comparing, adding, and subtracting positive and negative integers.

Nearpod

Adding Integers a Visual Approach

Integers-the basics

Adding Integers

Learning Multiplication of Integers through a pattern

Sample Problems:

(-6) + 12 = 6

9.5 - (-4) = 13.5

-10 • 23.75 = -237.5 2 3 ÷ 15 7 =7 18 Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

MA.7.NSO.2.3

Connections between B.E.S.T. and Florida Standards

B.E.S.T. Florida Standards

Solve real-world problems involving any of the four operations with rational numbers.

MAFS 7.NS.1.3 Solve real-world and mathematical

problems involving the four operations with rational numbers. Instructional Learning Objectives Instructional Resources Objective 1: Interpret word problems and solve them using adding, subtracting, multiplying and dividing skills.

CPALMS

MEA NASA Salaries - Students work on open-ended

questions within set parameters. CPALMS IXL

Identify Quotients of Real World Problems

(JT9)

Add & Subtract Integers: Word Problems (2DD)

Add & Subtract Decimals: Word Problems (RKZ)

Add & Subtract Fractions: Word Problems (ENL)

Add & Subtract Mixed Numbers: Word Problems (6YT)

Multiply Decimals & Whole Numbers: Word Problems

(VZN)

Divide decimals by whole numbers: Word Problems

(TUU) Multiply fractions & mixed numbers: Word Problems (5NJ)

Divide Fractions & Mixed Numbers: Word Problems

(5VR) Add, subtract, multiply and divide decimals: Word

Problems (TGN)

Add, subtract, multiply and divide fractions & mixed, numbers: Word Problems (KR7) Add, subtract, multiply and divide money amounts:

Word Problems (HGN)

Evaluate variable expressions: Word Problems (7XA)

Multi-step word problems (JVU)

Engage NY

Grade 7, Module 2, Topic C, Lesson 20

Students use math to solve one real world problem.

Grade 7, Module 2, Topic C, Lesson 23

Students will use a double tape diagram to solve

some.

Khan Academy

Adding and Subtracting: Word Problems

MARS/Shell

Using Positive and Negative Numbers in Context

-

Students will explore temperature changes.

Illustrative Mathematics

Comparing Freezing Points

Distances between Houses

Bookstore Accounting

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Drill Rig

Sample Problems:

Destiny's Desserts made a batch of fresh scones with 58Τ of a pound of butter and 12Τ of a pound of sugar.

How much more butter than sugar was used?

Write your answer as a fraction or as a whole or mixed number.

18Τ

Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022

Unit 3: Expressions

Standards Aligned Instruction 10 days October 1 - October 15

The 2021-2022 school year we are transitioning from the Florida Mathematics Standards (MAFS) to the B.E.S.T. standards (MA).

In the unit guides we have identified which B.E.S.T. standard matches with which MAFS standard(s).

Standards Content Limits

Assessed with MA.7.AR.1.2

MA.7.AR.1.1 Apply properties of operations to add and subtract linear expressions with rational coefficients. Clarification 1: Instruction includes linear expressions in the form of ax ± b or b ± ax, where a and b are rational numbers. Clarification 2: Refer to Properties of Operations, Equality and Inequality. Items assessing MA.7.AR.1.1 must give liner expressions. Items assessing MA.7.AR.1.1 are limited to the addition or subtraction of only two linear expressions.

Calculator: NEUTRAL

Context: MATHEMATICAL

MA.7.AR.1.2 Determine whether two linear expressions are equivalent. Clarification 1: Instruction includes using properties of operations accurately and efficiently. Clarification 2: Instruction includes linear expressions in any form with rational coefficients. Clarification 3: Refer to Properties of Operations, Equality and

Inequality.

Items assessing MA.7.AR.1.1 must give liner expressions. Items assessing MA.7.AR.1.1 are limited to the addition or subtraction of only two linear expressions.

Calculator: NEUTRAL

Context: MATHEMATICAL

Essential Vocabulary

Vocabulary Definition/Description

Algebraic Expression A combination of variables, numbers, and at least one operation. Coefficient The numerical factor of a term that contains a variable. Distributive Property To multiply a sum by a number, multiply each addend of the sum by the number outside the parenthesis.

Equivalent Algebraic

Expressions

Expressions that have the same value.

Like Terms Terms that contain the same variables raised to the same power.

Rational Number

The set of numbers that can be written in the form ௔ ௕ where a and b are integers and b т 0.

MA.7.AR.1.1

Connections between B.E.S.T. and Florida Standards B.E.S.T. Florida Standards Apply properties of operations to add and subtract linear expressions with rational coefficients.

MAFS.7.EE.1.1 Apply properties of operations as

strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Instructional Learning Objectives Instructional Resources Objective 1: Add linear expressions with rational

coefficients. Objective 2: Subtract linear expressions with rational coefficients.

Objective 3: Combine like terms.

McGraw Hill

Course 2, Chapter 5: Lesson 3, 6 and 7

Engage NY

Module 3, Topic A, Lesson 1

- Students generate equivalent expressions using the fact that addition and multiplication can be done in any order Pinellas County Schools GRADE 7 MATHEMATICS 2021-2022 Objective 4: Simplify expressions using the distributive property. (commutative property) and any grouping (associative property).

Module 3, Topic A, Lesson 2 - Students generate

equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property). Module 3, Topic A, Lesson 3 - Students use area and rectangular array models and the distributive property to write products as sums and sums as products.

Better Lesson

Write it Wednesday Expressions

Simplifying Expressions

- What are like terms?

Add and Subtract Expressions

IXL

Add and subtract linear expressions 7-R.14

(6BT)

Khan Academy

Combining Like Terms

Nearpod

Combining Like Terms

Sample Problems:

1. What is the sum of the two expressions?

૜ ૞  +૛

2. What is the difference of the two expressions?

ૡ ૚ ૞