th Grade Go Math - Advanced Pacing Guide 2015-2016...

7th Grade Go Math - Advanced Pacing Guide 2015-2016 Teacher Name ________________ Pd ______

This Curriculum Guide is a suggestion for you to use “as a guide”. Each class should progress at its’ own pace. Although there are only a few quizzes listed in the pacing guide, teachers SHOULD quiz students as needed to check for comprehension.

Lessons – HMH Go Math –

7th Grade Advanced Math Florida Standards

Benchmarks& Math

Practices MAFS 912.

Days/ Dates

Learning Goal: “Students will be able to:”

Homework Assignment

and Teacher Notes

1st 9-weeks 8/18/14 – 10/17/14 There are 41 teaching days.

8/17/15 –

10/15/15

Labor Day Holiday 9/7/15

Fall Holiday 9/23/15

First Day / Week Procedures 1 Remember that you may have a fire drill and assemblies this week.

Baseline – Progress Monitoring Test

1 The Baseline will be paper and pencil but the answer bubble sheets will be scanned through Data Director for scoring. This Baseline should ONLY be 1 day.

Unit 1 – The Number System General Math 2 textbook

Module 1 – Adding and Subtracting Integers

7.NS.1.1 7.NS.1.3

Performance Scales – See individual lessons in the Lesson Plan Bank

1.1 Adding Integers with the Same Sign EQ – How do you add integers with the same sign?

7.NS.1.1 7.NS.1.1b MP 5.1 Using Tools

1

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.

1.2 Adding Integers with Different Signs EQ – How do you add integers with different signs?

7.NS.1.1 7.NS.1.1b MP 5.1 Using Tools

2 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.

1.3 Subtracting Integers EQ – How do you subtract integers?

7.NS.1.1c MP 2.1 Reasoning

2 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.

1.4 Applying Addition and Subtraction of Integers (Real World Problems) EQ – How do you solve multi-step problems involving

7.NS.1.3 7.NS.1.1 7.NS.1.1d 7.EE.2.3

2 Solve real world and mathematical problems involving

the four operations with rational numbers.

addition and subtraction of integers?

MP 1.1 Problem Solving

Module 1 Review Ready to go on?

1

Module 1 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 2 – Multiplying and Dividing Integers

7.NS.1.2 7.NS.1.3


2.1 Multiplying Integers EQ – How do you multiply integers?

7.NS.1.2 MP 2.1 Reasoning

1

Multiply rational numbers given real world situations.

2.2 Dividing Integers EQ – How do you divide integers?

7.NS.1.2 MP 7.1 Using Structure

1 Divide rational numbers given real world situations.

2.3 Applying Integer Operations (Real World Problems) Time for Quiz? EQ – How can you use integers operations to solve real-world problems?

Ready to go on?

7.NS.1.3 MP 4.1 Modeling

2

Solve real world and mathematical problems involving the four operations with rational numbers.


1

Module 2 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 3 – Rational Numbers

7.NS.1.1 7.NS.1.2 7.EE.2.3


3.1 Rational Numbers and Decimals EQ – How can you convert a rational number to a decimal?

7.NS.1.2d MP 3.1 Logic

1 Convert a rational number to a decimal using long

division.

3.2 Adding Rational Numbers Time for Quiz? EQ – How can you add rational numbers?

7.NS.1.1d 7.NS.1.3 MP 2.1 Reasoning

1 Apply properties operations as strategies to add rational numbers given real world situations.

3.3 Subtracting Rational Numbers EQ – How do you subtract rational numbers?

7.NS.1.1 7.NS.1.1c MP 2.1 Reasoning

1 Understand subtraction of rational numbers as adding the inverse.

3.4 Multiplying Rational Numbers Time for Quiz? EQ – How do you multiply rational numbers?

7.NS.1.2 7.NS.1.2a 7.NS.1.2c MP 2.1 Reasoning

1 Apply properties of operations as strategies to multiply rational numbers.

3.5 Dividing Rational Numbers EQ – How do you divide rational numbers?

7.NS.1.2 7.NS.1.2b 7.NS.1.2c MP 4.1 Modeling

1 Apply properties of operations as strategies to divide rational numbers.

3.6 Applying Rational Number Operations (Real World Problems) EQ – How do you use different forms of rational numbers and strategically choose tools to solve problems?

Ready to go on?

7.EE.2.3 7.NS.1.3 MP 1.1 Problem Solving

1 Solve multi step real world problems involving positive and negative rational numbers.


1

Module 3 Assessment

1

UNIT 1 Review

1

UNIT 1 Assessment 1 Modules 1, 2 and 3



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 2 – Ratios and Proportional Relationships

Module 4 – Rates and Proportionality

7.RP.1.1 7.RP.1.2


4.1 Unit Rates EQ – How do you find and use unit rates?

7.RP.1.1 MP 4.1 Modeling

1 Compute unit rates associated with ratios of fractions, lengths, areas and other quantities.

4.2 Constant Rates of Change Time for Quiz? EQ – How can you identify and represent proportional relationships?

7.RP.1.2 7.RP.1.2a 7.RP.1.2b 7.RP.1.2c MP 2.1 Reasoning

2 Recognize and represent proportional relationships between quantities.

4.3 Proportional Relationships and Graphs EQ – How can you use graphs to represent and analyze proportional relationships?

7.RP.1.2a 7.RP.1.2b 7.RP.1.2c 7.RP.1.2d MP 4.1 Modeling

2 Decide whether two quantities are in a proportional relationship by graphing

Module Review Ready to go on?

1

Module 4 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 5 – Proportions and Percent

7.RP.1.2 7.RP.1.3


5.1 Percent Increase and Decrease EQ – How do you use percents to describe change?

7.RP.1.3 MP.2.1 - Reason abstractly and quantitatively.

1

Use percent and proportions to find the amount by

which real-world quantities have increased or

decreased.

5.2 Rewriting Percent Expressions EQ – How can you rewrite expressions to help you solve markup and markdown problems?

7.EE.1.2 MP.5.1 - Using appropriate tools.

1 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.

5. 3 Applications of Percent EQ – How do you use percents to solve problems?

Ready to go on? p. 159

7.RP.1.3 MP.4.1 - Model with mathematics.

2 Use percent and proportions to find the amount by

which real-world quantities have increased or

decreased.

Module Review

1

Module 5 Assessment

1

You are NOW working in the Advanced Math 2 textbook!



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 1 – Expressions, Equations and Inequalities

Module 1 – Expressions and Equations

7.EE.1.1 7.EE.1.2 7.EE.2.4 7.EE.2.4a


1.1 Algebraic Expressions EQ – How do you add, subtract, factor, and multiply algebraic expressions?

7.EE.1.1 7.EE.1.2 MP.4.1 - Model with mathematics.

2 Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients.

“Clue Words” 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.

1.2 One-Step Equations EQ – How do you use one-step equations with rational coefficients to solve problems? Time for Quiz?

Hands On Equations

7.EE.2.4 MP.7.1 - Look for and make use of structure.

2

Use variables to represent quantities in a real-world or

mathematical problem, and construction simple

equations…to solve problems by reasoning about the

quantities.

1.3 Writing Two-Step Equations EQ – How do you write a two-step equation?

7.EE.2.4 MP.1.1 - Make sense of problems and persevere in solving them.

2

Use variables to represent quantities in a real-world or mathematical problem, and construction simple equations…to solve problems by reasoning about the quantities.

1.4 Solving Two-Step Equations EQ – How do you solve a two-step equation?

Hands On Equations

Ready to go on?

7.EE.2.4a MP.4.1 - Model with Mathematics

2




quantities.

Module 1 Review 1

Module 1 Assessment 1

2nd 9-weeks There are 38 teaching days.

10/19/15 – 12/20/15

Teacher Planning Day 10/16/15

Veteran’s Day 11/11/15

Thanksgiving Holiday 11/25/15 - 11/27/15

Middle School Exams – Mid-Year Progress Monitoring Test (Early Release Days)

12/16/15 12/17/15 12/18/15



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 2 – Inequalities 7.EE.2.4b Performance Scales – See individual lessons in the Lesson Plan Bank

2.1 Writing and Solving One-Step Inequalities EQ – How do you write and solve one-step inequalities?

7.EE.2.4b MP.1.1 - Make sense of problems and persevere in solving them.

2


mathematical problem, and construct simple …

inequalities to solve problems by reasoning about the

quantities.

2.2 Writing Two-Step Inequalities Time for Quiz? EQ – How do you write a two-step inequality?

7.EE.2.4 MP.2.1 - Reason abstractly & quantitatively

2




quantities.

2.3 Solving Two-Step Inequalities EQ – How do you solve a two-step inequality?

7.EE.2.4b MP 5.1 Using Tools

2 Use variables to represent quantities in a real-world or



quantities.

Module Review Ready to go on?

1


Unit 1 Review

1

Unit 1 Test

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 2 – Geometry

Module 3 – Modeling Geometric Figures

7.G.1.1 7.G.1.2 7.G.1.3 7.G.2.5


3.1 Similar Shapes and Scale Drawings Time for Quiz? EQ – How can you use scale drawings to solve problems?

7.G.1.1

MP.4.1 - Model with mathematics.

2-3 Solve problems involving scale drawings of geometric figures, including computing actual lengths & areas from a scale drawing & reproducing a scale drawing at a different scale.

3.2 Geometric Drawings EQ – How can you draw shapes that satisfy given conditions?

7.G.1.2

MP.5.1 - Using appropriate tools.

2 Draw…geometric shapes, with given conditions. Focus on

constructing triangles.

3.3 Cross Sections EQ – How can you identify cross sections of three-dimensional figures?

7.G.1.3

MP.4.1 - Model with mathematics

1

Describe the two-dimensional figures that result from slicing

three-dimensional figures…

3.4 Angle Relationships Time for Quiz on Angles? EQ – How can you use angle relationships to solve problems?

7.G.2.5 MP.2.1 - Reason abstractly and quantitatively.

3

Use facts about supplementary, complementary, vertical, and

adjacent angles in a multi-step problem to write & solve

simple equations for an unknown angle in a figure.

Ready to go on? / Module Review

1

Module 3 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 4 – Circumference, Area, and Volume

7.G.2.4 7.G.2.6


4.1 Circumference

7.G.2.4 1 Find the circumference of a circle.

EQ: How do you find and use the circumference of a circle?

MP7.1 Using Structure

4.2 Area of Circles Time for Quiz? EQ: How do you find the area of a circle?

7.G.2.4 MP.4.1 Modeling

1 Know the formulas for the area and circumference of a

circle and use them to solve problems.

4.3 Area of Composite Figures EQ: How do you find the area of composite figures?

7.G.2.6 MP.5.1

Using Tools

2 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.

4.4 Solving Surface Area Problems Time for Quiz? EQ: How can you find the surface area of a figure made up of cubes and prisms?

7.G.2.6 MP.4.1

Modeling

3

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

4.5 Solving Volume Problems EQ: How can you find the volume of a figure made of cubes and prisms?

7.G.2.6 MP.7.1 Using

Structure

2 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.


1

Module 4 Assessment

1 Teachers should complete Module 4 by 12/11/15

Winter Holidays 12/21/15 – 1/3/16

3rd 9-weeks There are 48 teaching days.

1/5/15 – 3/11/16


Martin Luther King, Jr. Holiday 1/18/16



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 3 – Statistics and Sampling

Module 5 – Random Samples and Populations

7.SP.1.1 7.SP.1.2


5.1 - Populations and Samples EQ: How can you use a sample to fain information about a population?

7.SP.1.1 MP.6.1 Precision

1 Understand that random sampling tends to produce

representative samples & support valid inferences.

5.2 - Making Inferences from a Random Sample Time for Quiz? EQ: How can you use a sample to gain information about a population?

7.SP.1.1 7.SP.1.2 7.SP.1.2c MP.4.1 - Model with mathematics.

1 Use data from a random sample to draw inferences

about a population with an unknown characteristic of

interest.

Module 5 Review – 1

Ready to Go On? pg. 163 1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

MODULE 6 - ANALYZING & COMPARING DATA

7.SP.2.3 7.SP.2.4


Lesson 6.1 - Comparing Data Displayed in Dot Plots EQ: How can you compare two sets of data displayed in dot plots?

7.SP.2.3 7.SP.2.4

MP.7.1 - Look for & make use of structure.

1 Use measures of center and measures of variability…to

draw informal comparative inferences about two

populations.

Lesson 6.2 - Comparing Data Displayed in Box Plots Time for Quiz? EQ: How can you compare data displayed in box plots?

7.SP.2.3 7.SP.2.4

MP.2.1- Reason abstractly and quantitatively.

2 Informally assess the degree of visual overlap of two

numerical data distributions with similar variabilities.

Lesson 6.3 - Using Statistical Measures to Compare Populations EQ: How can you use statistical measures to compare populations?

7.SP.2.3 7.SP.2.4

MP.6.1 - Attend to Precision.

2 Informally assess…two numerical data

distributions…measuring the difference between the

centers by expressing it as a multiple of a measure of

variability.

Module 6 Review – Ready to Go On? pg. 163

1


Unit 3 Review

1

Unit 3 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 7 – Experimental Probability Module 8 – Theoretical Probability and Simulations


TEACHERS: **Check with Vicki Register if you need to check out sets of regular dice and/or polyhedra dice for your students to preform experiments.

We have combined these 2 modules. We felt that experimental and theoretical probability should be taught together … not as two separate modules. You will have to prepare the lessons together ahead of time. Use “REAL WORLD PROBLEMS” as often as possible because that is how the students will be tested!

She also has worksheets for the experiments (including frequency tables) and graphs to represent those experiments if you wish to use them. Experiments with dice, coins, and marbles would be helpful in showing the different in theoretical probability (what “should” happen) with the experimental probability (what happens in “real life”).

7.1 - Probability EQ: How can you describe the likelihood of an event?

7.SP.3.5 7.SP3.7a MP.6.1 - Attend to Precision.

1 Understand that the probability of a chance event is a

number between 0 & 1 that expresses the likelihood of

the event occurring. Larger numbers indicate greater

likelihood.

8.1 Theoretical Probability of Simple Events EQ: How can you find the theoretical probability of a simple event?

7.SP.3.7 7.SP.3.7a MP7.1 Using Structure

1 Develop a probability model and use the model to determine probabilities of events.

Approximate the probability of an event by collecting data, observing its frequency, and predict the relative frequency.

7.2 - Experimental Probability of Simple Events Time for Quiz? EQ: How do you find the experimental probability of a simple event?

7.SP.3.6 7.SP.3.7b

MP.4.1 - Model with mathematics.

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

8.2 Theoretical Probability of Compound Events EQ: How do you find the theoretical probability of a compound event?

7.SP.3.8 7.SP.3.8a 7.SP.3.8b

MP.2.1 Reasoning

1 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulations.

Lesson 7.3 - Experimental Probability of Compound Events Time for Quiz?

7.SP.3.8 7.SP.3.8a 7.SP.3.8b 7.SP.3.8c

1 Find probabilities of compound events using tables and simulations.

EQ: How do you find the experimental probability of a compound event?

MP.2.1 - Reason

abstractly and

quantitatively.

Lesson 7.4 - Making Predictions with Experimental Probability EQ: How do you make predictions using experimental probability? 2 days so you can do experiments – use coins or dice

7.SP.3.6 MP.4.1 -

Model with mathematics

.

1 Approximate the probability of a chance event by collecting data on the chance process that produces it…, and predict the approximate relative frequency given the probability.

8.3 Predictions with Theoretical Probability EQ: How do you make predictions using theoretical probability?

7.SP.3.6 7.SP.3.7a MP.4.1 -

Modeling

1 Approximate the probability of a chance by collecting data, observing its relative frequency, and predicting the relative frequency given the probability.

Probability Review 1

Probability Test 1

Unit 4 Review 1

Unit 4 Test 1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 5 – Real Numbers, Exponents, and Scientific Notation

Module 9 - Real Numbers

8.NS.1.1 8.NS.1.2


9.1 Rational and Irrational Numbers EQ: How do you rewrite rational numbers and decimals, take square roots and cube roots?

8.NS.1.1 8.NS.1.2 8.EE.1.2

1 Know and understand characteristics of rational and irrational numbers. Understand that every number has a decimal expansion.

Use rational approximations of irrational numbers to compare size of irrational numbers, locate them on a number line (approx.) and estimate the value of

expressions (e.g. squared)

Use square and cube root symbols to represent solutions to equations.

Know that √2 is irrational.

9.2 Sets of Real Numbers EQ: How can you describe relationships between sets of real numbers? Time for Quiz?

8.NS.1.1 MP.7.1 Using

Structure

1 Know and understand characteristics of rational and irrational numbers. Understand that every number has a decimal expansion.

9.3 Ordering Real Numbers EQ: How do you order a set of

real numbers?

8.NS1.2 MP.4.1

Modeling

1 Compare size of irrational numbers, locate them

approximately on a number line diagram, and estimate

the value of expressions (e.g.𝝅𝟐)

Module 9 Review Ready to Go On?

1

Module 9 Test 1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 10 Exponents and Scientific Notation

8.EE.1.1 8.EE.1.3 8.EE.1.4


10.1 Integer Exponents EQ: How can you develop and use the properties of integer exponents?

8.EE.1.1 MP.8.1

Patterns

1 Know and apply the properties of integer exponents to

generate equivalent numerical expressions.

10.2 Scientific Notation with Positive Powers of 10 EQ: How can you use scientific notation to express very large numbers?

8.EE.1.3 MP.4.1

Modeling

1 Use numbers expressed in the form of a single digit

times an integer power of 10 to estimate very large or

very small numbers, and to express how many times

as much one is than the other.

10.3 Scientific Notation with Negative Powers of 10 EQ: How can you use scientific notation to express very small numbers?

8.EE.1.3 MP.2.1

Reasoning

Use numbers expressed in the form of a single digit

times an integer power of 10 to estimate very large or

very small numbers, and to express how many times

as much one is than the other.

10.4 Operations with Scientific Notation EQ: How do you add, subtract, multiply, and divide using scientific notation?

8.EE.1.4 MP.1.1

Problem Solving

1 Perform operations with numbers expressed in

scientific notation, including problems where both

decimal and scientific notation are used.

Module 10 Review Ready to Go On?

1


Unit 5 Review 1

Unit 5 Test 1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Review Modules before FSA Testing in April

Review Module 1 These Modules are all in the 7th Grade General Book.

Review Module 2

Review Module 3

Review Module 4

Review Module 5

Review Module 6

Review Module 1 These Modules are all in the 7th Grade Advanced Book.

Review Module 2

Review Module 3

Review Module 4

Review Module 5

Review Module 6

Review Module 7

Review Module 8

FSA Window is 4/13 – 5/8 – Check with your testing coordinator about times for your school.

Teachers – Use the time both during and after the FSA to either dig deeper into an area from during the year, or move on to the next grade level of lessons. Below is s suggested option which begins in Module 9 of the Advanced 2, 7th.

Spring Break 3/14/16 –

3/18/16


4th 9-weeks There are 46 teaching days...

(less the testing days and field trips)

3/22/16 –

5/27/16

Middle School Exams – - (Early Release Days)

5/25/16 5/26/16 5/27/16



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Unit 6 – Proportional and Nonproportional Relationships and

Functions

Module 11 – Proportional Relationships

8.EE.2.5 8.EE.2.6 8.F.1.2 8.F.2.4


11.1 Representing Proportional Relations

EQ – How can you use tables, graphs, and equations to represent proportional relationships?

8.EE.2.6 8.F.2.4 MP 4.1

Modeling

1 Use tables, graphs, and equations to represent

proportional situations.

11.3 Interpreting the Unit Rate and Slope EQ – How do you interpret the unit rate as slope?

8.EE.2.5 8.F.1.2 8.F.2.4 MP 4.1

Modeling

2 Interpret the unit rate as slope.

Module Review Ready to Go On?

1




Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 12 – Nonproportional Relationships

8.EE.2.6 8.F.1.2 8.F.1.3 8.F.2.4


12.1 Representing Linear Nonproportional Relationships EQ – How can you use tables, graphs, and equations to represent linear nonproportional situations?

8.F.1.3 MP 4.1

Modeling

2 Interpret the equation y=mx+b as defining a linear

function, whose graph is a straight line: give examples

of nonlinear functions.

12.2 Determining Slope and y-

intercept

Time for Quiz?

EQ - How do you find a rate of change or a slope

8.NS.1.1 8.NS.1.2 8.EE.1.2 MP 7.1

Structure

1 Derive the equation y=mx for a line through the origin

and the equation y=mx+b for a lline intercepting the

vertical axis at b.

12.3 Graphing Linear Non-Proportional Relationships using slope and y-intercept? EQ – How can you graph a line using the slope and y-intercept?

8.NS.1.1

MP 6.1 Precision

1 Use measures of center and measures of variability for

numerical data from random samples to draw informal

comparative inferences about two populations.

Determine the rate of change and initial value of the

function from a description of a relationship or from

two (x,y) values, including reading these from a table

or from a graph. Interpret the rate of change and initial

value of a linear function in terms of the situation it

models, and in terms of its graph or a table of values.

12.4 Proportional and

Nonproportional Situations

EQ – How can you distinguish between proportional and nonproportional situations?

8.NS.1.1 8.NS.1.2 8.EE.1.2

MP 6.1

Precision

1 Compare properties of two functions each represented

in a different way (algebraically, graphically,

numerically in tables, or by verbal descriptions).

Interpret the equation y=mx+b as defining a linear

function, whose graph is a straight line: give examples

of nonlinear functions.

Determine the rate of change and initial value of the

function from a description of a relationship or from

two (x,y) values, including reading these from a table

or from a graph. Interpret the rate of change and initial

value of a linear function in terms of the situation it

models, and in terms of its graph or a table of values.

Module Review Ready to Go On?

1

Module 12 Assessment Great Opportunity for an Activity or Project to Assess

Student Learning



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 19 – Angle Relationships in Parallel Lines and Triangles E.Q.- How can you use angle relationships in parallel likes and triangles to solve real-world problems?

8.EE.2.6 8.EE.3.7

8.EE.3.7b 8.G.1.5

Performance Scales: 4 – In addition to score 3.0 performance, the student demonstrates in-depth inferences and applications that go beyond what was taught.

3 – The student will: • Use informal arguments to establish facts about the angle sum and exterior angles of triangles, about the angles created when parallel lines are cut by a transversal, and about the angle-angle criterion for similarity of triangles

2 – The student will recognize or recall specific vocabulary, such as: • Angle, angle sum, angle-angle criterion, argument, cut, exterior angle, fact, line, parallel, similarity, transversal, triangle

The student will perform basic processes, such as: • Recognize or recall facts about angle sum and exterior angles of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles

1 – With help, partial success at score 2.0 content and score 3.0 content

Lesson 19.1- Parallel Lines cut by Transversal (include complementary, supplementary, vertical and adjacent) E.Q.- What can you conclude about the angles formed by parallel lines that are cut by a transversal?

8.G.1.5 MP.6.1-

Precision

2 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Lesson 19.2- Angle Theorems for Triangles E.Q.- What can you conclude about the measures of the angles of a triangle?

8.EE.3.7 8.EE.3.7b 8.G.1.5

MP.5.1- Using Tools

2 Solve linear equations in one variable.

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when

parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Lesson 19.3- Angle –Angle Similarity E.Q.- How can you determine when two triangles are similar?

8.EE.2.6 8.EE.3.7 8.G.1.5 MP.4.1-

Modeling

2 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting the vertical axis at b.

Solve linear equations in one variable.

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Module 19 Review 1 Great Opportunity for an Activity or Project to Assess Student Learning

Module 19 Assessment

1



Benchmarks& Math

Practices MAFS 912.

Days/ Dates


Homework Assignment

and Teacher Notes

Module 20 The Pythagorean Theorem E.Q. - How can you use the Pythagorean Theorem to solve real-world problems?

8.G.2.6 8.G.2.7 8.G.2.8

Performance Scales: 4 – In addition to score 3.0 performance, the student demonstrates in-depth inferences and applications that go beyond what was taught.

3 – The student will: • Explain the converse of a proof of the Pythagorean theorem • Use the Pythagorean theorem to determine unknown side lengths and solve problems in three dimensions • Use the Pythagorean Theorem to find the distance between two points

2 – The student will recognize or recall specific vocabulary, such as: • Converse, coordinate system, dimension, distance, length, point, proof, Pythagorean theorem, side, unknown The student will perform basic processes, such as: • Explain a proof of the Pythagorean theorem • Use the Pythagorean theorem to determine unknown side lengths and solve problems in two dimensions • Explain that the Pythagorean theorem to find the distance between two points in a coordinate system

1 – With help, partial success at score 2.0 content and score 3.0 content

Lesson 20.1- The Pythagorean Theorem E.Q. - How can you prove the Pythagorean Theorem and use it to solve problems?

8.G.2.6 8.G.2.7

MP.5.1- Using Tools

1-2 Explain a proof of the Pythagorean Theorem and its converse.

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Lesson 20.2- Converse of the Pythagorean Theorem E.Q. - How can you test the converse of the Pythagorean Theorem and use it to solve problems?

8.G.2.6 MP.7.1-

Structure

1 Explain a proof of the Pythagorean Theorem and its converse.

Lesson 20.3- Distance Between Two Points E.Q. - How can you use the Pythagorean Theorem to find the distance between two points on a coordinate plane?

8.G.2.8 MP.2.1-

Reasoning

1 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Module 20 Review

1

Module 20 Assessment

1 Great Opportunity for an Activity or Project to Assess Student Learning

Final Exam Days – (Early Release Days)

5/25/16 5/26/16 5/27/16

th Grade Go Math - Advanced Pacing Guide 2015-2016...

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