Grade Seven Mathematics Curriculum Map - Citrus...

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Grade Seven Mathematics Curriculum Map Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module. Unit 1- Module 1 Number Sense Approximately 12 Days Highlighted Math Practice Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.5.1: Use appropriately tools strategically. Click here for video examples from Inside Mathematics 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 or vertical number line diagram. MAFS.7.NS.1.1b: Understand + as the number located a distance || from , in the positive or negative direction depending on whether is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. Show the distance between rational #s is the difference between their absolute values (temperature and elevation questions) Adding Integers Exploring Additive Inverse Finding the Difference Rational Addition and Subtraction Rational Water Management Using Positive and Negative Numbers in Context Go Math – Lessons 1.1 & 1.2 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 or vertical number line diagram. MAFS.7.NS.1.1c: Understand subtraction of rational numbers as adding the additive inverse, =+(–). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Add/subtract integers fluently Understand that subtracting a rational number is the same as adding its opposite Adding Integers Exploring Additive Inverse Finding the Difference Rational Addition and Subtraction Rational Water Management Using Positive and Negative Numbers in Context Go Math – Lesson 1.3 Addressed again in Go Math 3.3

Transcript of Grade Seven Mathematics Curriculum Map - Citrus...

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 1- Module 1

Number Sense

Approximately 12 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.5.1: Use

appropriately tools

strategically. Click here

for video examples from

Inside Mathematics

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 or vertical number line diagram.

MAFS.7.NS.1.1b: 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 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

Show the distance between rational #s is the

difference between their absolute values

(temperature and elevation questions)

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lessons 1.1 & 1.2

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 or vertical number line diagram. MAFS.7.NS.1.1c: Understand subtraction of rational numbers as adding the additive inverse,

𝑝 –𝑞=𝑝+(–𝑞). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Add/subtract integers fluently

Understand that subtracting a rational

number is the same as adding its opposite

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lesson 1.3

Addressed again in Go Math 3.3

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.5.1: Use

appropriately tools

strategically. Click here for

video examples from

Inside Mathematics

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 or vertical number line diagram. MAFS.7.NS.1.1d: Apply properties of operations as strategies to add and subtract rational numbers.

Apply properties of operations correctly to

add/subtract integers (commutative,

associative, distributive, identity)

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lesson 1.1

Addressed again in Go Math 3.2

MAFS.7.NS.1.3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Positive and Negative Fractions

A Rational Number Expression

Complex Fractions

Monitoring Water Temperatures

Trail Mix Munchies

Go Math – Lesson 1.4

Module 1 - Key Vocabulary

Absolute Value Additive Inverse Expression Integer

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 1- Module 2

Number Sense

Approximately 8 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click

here for video

examples from

Inside Mathematics

MAFS.K.12.MP.7.1:

Look and make use

of structure. Click

here for video

examples from

Inside Mathematics

MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. MAFS.7.NS.1.2a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

Multiply integers using a number line (illustrate multiplication is repeat addition on number line)

Know the rules for multiplying signed numbers (same signs; different signs and multiplying by 0 = 0)

Applying Rational Number Properties

Find Decimal Using Long Division

Integer Division

Negative Times

Negative Explained

Quotients of Integers

Understanding Products

Go Math – Lesson 2.1

MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. MAFS.7.NS.1.2b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational

number. If p and q are integers, then −𝑝

𝑞=−𝑝

𝑞=𝑝

−𝑞 .

Interpret quotients of rational numbers by describing real-world contexts.

Divide integers using a number line (illustrate division is repeat subtraction on a number line)

Know the rules for dividing signed numbers (same signs; different signs and dividing by zero is undefined)

Applying Rational Number Properties

Find Decimal Using Long Division

Integer Division

Negative Times

Negative Explained

Quotients of Integers

Understanding Products

Go Math – Lesson 2.2

Addressed again in Go Math 3.1

MAFS.7.NS.1.3: Solve real-world and mathematical problems involving the four operations with rational numbers.

Applying Order of Operations correctly

Clarify that P is grouping symbols;

Translating life situations into integers (lost 3 pounds = -3)

Compare and order integers

Positive and Negative Fractions

A Rational Number Expression

Complex Fractions

Monitoring Water Temperatures

Trail Mix Munchies

Go Math – Lessons 2.2 & 2.3

Module 2 - Key Vocabulary

Integer Dividend Product Quotient Opposites

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 1- Module 3

Number Sense

Approximately 17 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.3.1: Construct viable arguments and critique the reasoning of others. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1: Model with mathematics. Click here for video examples from Inside Mathematics

MAFS.7.NS.1.1.: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. MAFS.7.NS.1.1.a: Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

Apply properties of operations correctly to

add/subtract integers (commutative, associative,

distributive, identity)

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lesson 3.2

MAFS.7.NS.1.1.: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. MAFS.7.NS.1.1.c: Understand subtraction of rational numbers as adding the additive

inverse, 𝑝 –𝑞=𝑝+(–𝑞). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Additive inverse of a # : be able to show on a number line and in equation form; adding opposites = 0

Subtracting rational numbers

Show distance between two rational numbers on a

number line is the absolute value of their difference

Subtracting a number is defined as adding the

opposite of a number

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lesson 3.3

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.3.1: Construct viable arguments and critique the reasoning of others. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1: Model with mathematics. Click here for video examples from Inside Mathematics

MAFS.7.NS.1.1.: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. MAFS.7.NS.1.1.d: Apply properties of operations as strategies to add and subtract rational numbers.

Adding rational numbers

o adding same signed rational #s sum will have

that same sign

o adding unlike signed rational #s, find

difference of absolute values; sum will have

sign of # with greatest absolute value

adding 3+ rational numbers, use of associative

property to group compatible numbers

Adding Integers

Exploring Additive Inverse

Finding the Difference

Rational Addition and Subtraction

Rational Water Management

Using Positive and Negative Numbers in Context

Go Math – Lesson 3.2

MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. MAFS.7.NS.1.2b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q

are integers, then −𝑝

𝑞=−𝑝

𝑞=𝑝

−𝑞 . Interpret

quotients of rational numbers by describing real-world contexts. MAFS.7.NS.1.2d: 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.

Long division without electronics or calculators

Terminating and repeating decimals

Converting mixed numbers into decimals (review

from prior knowledge) (NS 1.2b)

Rules for dividing like and unlike signed rational

numbers (divide same signed = positive product;

divide different (opposite signed) = negative

product

Writing a negative fraction: -(a/b) = -a/b = a/-b

Applying Rational Number Properties

Find Decimal Using Long Division

Integer Division

Negative Times

Negative Explained

Quotients of Integers

Understanding Products

Go Math – Lessons 3.1, 3.4, & 3.5

MAFS.7.NS.1.2c: Apply properties of operations as strategies to multiply and divide rational numbers.

Students represent integer operations with concrete models and connect the actions with the models to standardized algorithms.

Applying Rational Number Properties

Find Decimal Using Long Division

Integer Division

Negative Times

Negative Explained

Quotients of Integers

Understanding Products

Go Math – Lesson 3.5

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.3.1: Construct viable arguments and critique the reasoning of others. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1: Model with mathematics. Click here for video examples from Inside Mathematics

MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. MAFS.7.NS.1.2.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.

Long division without electronics or calculators

Terminating and repeating decimals

Applying Rational Number Properties

Find Decimal Using Long Division

Integer Division

Negative Times

Negative Explained

Quotients of Integers

Understanding Products

Go Math – Lesson 3.1

MAFS.7.EE.2.3: 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.

Use of rational numbers in various formats

(fractions, decimals and percent equivalent values)

Alexa’s Account

Discount and Tax

Gas Station Equations

Reeling in Expressions

Using Estimation

Go Math – Lesson 3.6

Covered again in Lesson 5.3

Module 3 - Key Vocabulary

Additive Inverse Opposite Rational Number Repeating Decimal Terminating Decimal

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 2- Module 4

Ratio and Proportional Relationships

Approximately 9 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click here

for video examples from

Inside Mathematics

MAFS.7.RP.1.1: Compute unit rates

associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Use of complex fractions to find unit rates Comparing Unit Rates

Computing unit Rates

Unit Rate Area

Unit Rate Length

Go Math - Lesson 4.1

MAFS.7.RP.1.2: Recognize and represent proportional relationships between quantities. MAFS.7.RP.1.2a: 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.

Setting up proportion using two ratios

Identifying and solving proportions

Babysitting Graph

Constant of Proportionality Trip

Deciding If Proportional

Finding Constant of Proportionality

Graphs of Proportional Relationships

Identifying Constant of Proportionality in Equations

Serving Size

Teacher to Student Ratios

Writing An Equation

G Math -Lessons 4.2 & 4.3

MAFS.7.RP.1.2: Recognize and represent proportional relationships between quantities. MAFS.7.RP.1.2b: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Identify constant rate of change (proportional relationship) via use of k = y/x

Identify proportional relationships from tables and

graphs

write equation in the format y = kx

Babysitting Graph

Constant of Proportionality Trip

Deciding If Proportional

Finding Constant of Proportionality

Graphs of Proportional Relationships

Identifying Constant of Proportionality in Equations

Serving Size

Teacher to Student Ratios

Writing An Equation

Go Math- Lessons 4.2 & 4.3

Module 4 - Key Vocabulary Complex Fraction Constant of Proportionality Proportion Proportional Relationship Rate of Change Unit Rates

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 2- Module 5

Ratio and Proportional Relationships

Approximately 9 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click here

for video examples from

Inside Mathematics

MAFS.K12.MP.5.1: Use

appropriate tools

strategically. Click here

for video examples

Inside Mathematics

MAFS.7.EE.1.2: 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.

Rewrite expressions from a word problem or diagram

Explain Equivalent Expressions

Rectangle Expressions

Go Math - Lesson 5.2

MAFS.7.RP.1.3: Use proportional relationships to solve multistep ratio and percent problems.

Solve Percent of increase/decrease problems Estimating: Counting Trees

Finding Fees Gasoline Prices

Making Cookies

Tiffany‘s Tax

Go Math - Lessons 5.1, 5.2, & 5.3

MAFS.7.EE.2.3: 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.

Solve Simple Interest problems Alexa’s Account

Discount and Tax

Gas Station Equations

Reeling in Expressions

Using Estimation

Go Math - Lesson 5.3

Module 5 - Key Vocabulary

Percent Decrease Percent Increase Principal Simple Interest

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 3- Module 6

Expressions, Equations and Inequalities

Approximately 11 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click here

for video examples from

Inside Mathematics

MAFS.K.12.MP.7.1:

Look and make use of

structure. Click here for

video examples from

Inside Mathematics

MAFS.7.EE.1.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Adding/subtracting/factoring expressions

Distributive Property & Factoring Expressions

Explain Equivalent Expressions

Expressions Equivalent

Equivalent Rational Expressions

Factored Forms

Identify Equivalent Multistep Expressions

Go Math - Lesson 6.1

MAFS.7.EE.2.4: 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.

Write 2-step equations to represent real-world problems

Writing and solving one step equations via 4 operations with rational coefficients

Algebra or Arithmetic?

Gift Card Inequality

Recycled Inequalities

Solve Equations

Squares

Write and Solve an Equation

Write, Solve and Graph an Inequality

Go Math - Lessons 6.2, 6.3, & 6.4

Addressed again in Lessons 7.1, 7.2 and 7.3

MAFS.7.EE.2.4a: Solve word problems leading to equations of the

form 𝑝𝑥+ 𝑞=𝑟 and (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.

2-step equations containing positive and negative numbers

Algebra or Arithmetic?

Gift Card Inequality

Recycled Inequalities

Solve Equations

Squares

Write and Solve an Equation

Write, Solve and Graph an Inequality

Go Math – Lesson 6.4

Module 6- Key Vocabulary

Algebraic Expression Equation Solution Variable Rational Number Coefficient

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 3- Module 7

Expressions, Equations and Inequalities

Approximately 9 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.1.1: Make sense of problems and persevere in solving them. Click here for video examples from Inside Mathematics MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.5.1:Use

appropriate tools

strategically. Click here

for video examples

Inside Mathematics

MAFS.7.EE.2.4: 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.

Writing two-step inequalities Algebra or Arithmetic?

Gift Card Inequality

Recycled Inequalities

Solve Equations

Squares

Write and Solve an Equation

Write, Solve and Graph an Inequality

Go Math - Lesson 7.2

MAFS.7.EE.2.4b: 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.

Write and solve one-step inequalities involving add/subtract/multiplying/ dividing

Modeling & Solving two-step Inequalities

Algebra or Arithmetic?

Gift Card Inequality

Recycled Inequalities

Solve Equations

Squares

Write and Solve an Equation

Write, Solve and Graph an Inequality

Go Math - Lessons 7.1 & 7.3

Module 7 - Key Vocabulary

Inequality Algebraic Inequality Solutions Variable Lesser Than Greater Than

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 4- Module 8

Geometry

Approximately 13 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click

here for video

examples from Inside

Mathematics

MAFS.K.12.MP.5.1:

Use appropriately tools

strategically. Click here

for video examples

from Inside

Mathematics

MAFS.7.G.1.1: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Find missing dimensions

Use scale to find area

Flying Scale

Garden Design

Space Station Scale

Go Math - Lesson 8.1

MAFS.7.G.1.2: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Drawing shapes with given conditions; constructing triangles

Drawing Triangles AAA

Drawing Triangles AAS

Drawing Triangles ASA

Drawing Triangles SAS

Drawing Triangles SSA

Drawing Triangles SSS

Sides of Triangles

Go Math - Lesson 8.2

MAFS.7.G.1.3: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

Identify & describe 2-dimensional cross sections from 3-dimensional figures

Cone Slices

Cylinder Slices

Rectangular Prism Slices

Square Pyramid Slices

Go Math - Lesson 8.3

MAFS.7.G.2.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Measuring angles, identify angle pairs &

relationships

Angle pairs using one and two-step

equations

Applying Angle Theorems

Finding the Angle Measure

Solve for the Angle

Straight Angles

What is Your Angle?

Go Math - Lesson 8.4

Module 8 - Key Vocabulary

Adjacent Angles Complementary Angles Cross section Intersection Scale Scale drawing Supplementary Vertical angles

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 4- Module 9

Geometry

Approximately 14 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.4.1:

Model with

mathematics. Click

here for video

examples from Inside

Mathematics

MAFS.K.12.MP.7.1:

Look and make use of

structure. Click here for

video examples from

Inside Mathematics

MAFS.K.12.MP.5.1:

Use appropriately tools

strategically. Click here

for video examples

from Inside

Mathematics

MAFS.7.G.2.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Finding circumference & using circumference when given either radius or diameter

Finding area of circle when given formula

Identify relationship between radius/diameter and circumference

Broken Circles

Center Circle Area

Circle Area Formula

Circumference Formula

Designing a Sports Bag

Eye on Circumference

Go Math - Lessons 9.1 & 9.2

MAFS.7.G.2.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

finding area of composite figures when given formulas for simple shapes

surface area of prisms and composite solids

finding volume of triangular & trapezoidal prisms

finding volume of composite solids

Chilling Volumes

Composite Polygon Area

Composite Surface Area

Cube Volume and Surface Area

Designing a Sports Bag

Estimation ad Approximations: The Money Munchers

Octagon Area

Prismatic Surface Area

Go Math - Lessons 9.3, 9.4, & 9.5

Module 9 - Key Vocabulary

Circumference Composite Figure Diameter Radius

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 5- Module 10

Statistics

Approximately 10 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.4.1:

Model with mathematics.

Click here for video

examples from Inside

Mathematics

MAFS.K.12.MP.5.1: Use

appropriately tools

strategically. Click here

for video examples from

Inside Mathematics

MAFS.K.12.MP.7.1: Look

for and make use of

structure. Click here for

video examples from

Inside Mathematics

MAFS.7.SP.1.1: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

Random, Non-random and Biased samples

Biased in survey questions

Use of dot plots & box plots to make inferences

Estimating: Counting Tree

Favorite Sport Survey

Height Research

Ice Cream Survey

Go Math - Lessons 10.1 & 10.2

MAFS7.RP.1.2c: Represent proportional relationships by equations.

Using proportions to make inferences Estimating: Counting Tree

Movie Genre

School Days

Go Math - Lesson 10.2

MAFS.7.SP.1.2: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

Generating random sample with and without technology

Estimating: Counting Tree

Movie Genre

School Days

Perspective Video: Environmental Data Collection Methodology

Go Math - Lessons 10.2 & 10.3

Module 10 - Key Vocabulary

Biased Sample Population Sample Random Sample

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 5- Module 11

Statistics

Approximately 11 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.6.1:

Attend to precision.

Click here for video

examples from Inside

Mathematics

MAFS.K.12.MP.7.1:

Look and make use of

structure. Click here for

video examples from

Inside Mathematics

MAFS.7.SP.2.3: Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

Analyzing and comparing visually data displayed in dot plots

Mean Absolute Deviation

Using Statistical Measures to Compare Populations

TV Ages – 1

TV Ages - 2

Go Math - Lessons 11.2 & 11.3

MAFS.7.SP.2.4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Using Multiple samples to Compare Populations

Comparing numerically data displayed in dot plots

Box Plots with Similar & Different Variability

Overlapping Trees

Word Length

Go Math - Lessons 11.2 & 11.3

Module 11- Key Vocabulary

Box Plot Dot Plot Mean Absolute Deviation

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 6- Module 12

Probability

Approximately 12 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click here

for video examples from

Inside Mathematics

MAFS.K.12.MP.6.1:

Attend to precision.

Click here for video

examples from Inside

Mathematics

MAFS.7.SP.3.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Find the likelihood of an event and describing events

Evaluating Statements About Probability

Likelihood of an Event

Likely or Unlikely

Probability or Not?

Go Math - Lesson 12.1

MAFS.7.SP.3.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

Find experimental probability

Make predictions with experimental Probability

Use experimental probability to make

qualitative and quantitative predictions

Games of Chance

Hen Eggs

Probabilities Cubed

Go Math - Lessons 12.2 & 12.4

Addressed Later in 13.1 and 13.3

MAFS.7.SP.3.7a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

Find the probability of an event and its complement

Errand Runner

Marble Probability

Number Cube

Technical Difficulties

Go Math - Lesson 12.1

Also addressed in 13.1 and 13.3

MAFS.7.SP.3.7b: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

Calculate experimental probability Errand Runner

Marble Probability

Number Cube

Technical Difficulties

Go Math - Lesson 12.2

MAFS.7.SP.3.8a: Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

Calculate experimental probability of compound events

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 12.3

Also in 13.2

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with mathematics.

Click here for video

examples from Inside

Mathematics

MAFS.K.12.MP.6.1: Attend

to precision. Click here for

video examples from

Inside Mathematics

MAFS.7.SP.3.8b: Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

Identify the outcomes in the sample space which compose an event

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 12.3

Also in Lesson 13.2

MAFS.7.SP.3.8c: Design and use a simulation to generate frequencies for compound events.

Use simulations to make predictions Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 12.3

Also in 13.4

Module 12 - Key Vocabulary

Complement Compound Event Experiment Experimental Probability Outcome Simple Event Simulation Trial

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

Unit 6- Module 13

Probability

Approximately 13 Days

Highlighted Math Practice

Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1:

Model with

mathematics. Click here

for video examples from

Inside Mathematics

MAFS.K12.MP.5.1: Use

appropriate tools

strategically. Click here

for video examples

Inside Mathematics

MAFS.K.12.MP.7.1:

Look and make use of

structure. Click here for

video examples from

Inside Mathematics

MAFS.7.SP.3.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency

Predict the approximate relative frequency given the probability.

Find Theoretical Probability

Use theoretical probability to make quantitative and qualitative predictions

Games of Chance

Hen Eggs

Probabilities Cubed

Go Math - Lessons 13.1 & 13.3

MAFS.7.SP.3.7a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

Find the probability of simple events

Develop a uniform probability model by assigning equal probability to all outcomes

Use the model to determine probabilities of events.

Errand Runner

Marble Probability

Number Cube

Technical Difficulties

Go Math - Lessons 13.1 & 13.3

MAFS.7.SP.3.8: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Find probabilities of compound events using

organized lists, tables, tree diagrams, and

simulation

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lessons 13.2 & 13.4

MAFS.7.SP.3.8a: Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

Understand the probability of a compound event as

the fraction of outcomes in the sample space for

which the compound event occurs.

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 13.2

Grade Seven Mathematics Curriculum Map

Course Number: 1205040 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.

MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1: Model

with mathematics. Click

here for video examples

from Inside Mathematics

MAFS.K12.MP.5.1: Use

appropriate tools

strategically. Click here for

video examples Inside

Mathematics

MAFS.K.12.MP.7.1: Look

and make use of structure.

Click here for video

examples from Inside

Mathematics

MAFS.7.SP.3.8b: Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

Represent sample spaces for compound events

using methods such as organized lists, tables and

tree diagrams.

Identify the outcomes in the sample space which

compose the event

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 13.2

MAFS.7.SP.3.8c: Design and use a simulation to generate frequencies for compound events.

Design and use a simulation to generate

frequencies for compound events.

Use Simulations for a simple event

Automobile Probabilities

Coat Count

Number List

Work Clothing

Go Math - Lesson 13.4

Module 13 - Key Vocabulary

Complement Compound Event Theory Theoretical Probability Outcome Simple Event