MVP IM 2 Honors 2018-19 

School Year at-a-glance 2018-2019 Quarter 1 Aug. 6 - Oct. 5      Quarter 3 Jan. 7 - Mar. 15   

Module 5 Geometric Figures  20 Days     Module 3 Solving Quadratic And Other Equations  

25 Days  

Module 6 Similarity & Right Triangle Trigonometry 

24 Days     Module 4 More Functions, More Features  15 Days  

Quarter 2 Oct.8 - Dec. 14       Quarter 4 Mar. 25 - May 24   

Module 1 Quadratic Functions  15 Days    Module 9 Probability  15 Days  

Module 2 Structure Of Expressions  27 Days     Module 7 Circles: A Geometric Perspective 

19 Days  

  Module 8 Circles and Other Conics  As time allows 

Review & Finals   5 Days    Review & Finals  5 Days 

 

Updated 10-11-18 

In this Document  Student support page:  www.fontanhonorsmath.weebly.com  Graphing Calculators Tasks denoted with  require the use of graphing technology  

● Desmos ● Geogebra 

 R-S-G  Ready- Get ready for upcoming lessons Set - Reinforce what was learned in current Task Go - Practice previously-learned skills 

Updated 10-11-18 

 Module 5: Geometric Figures (20 Days) 

  Task #  Title  Topic  Ready-Set-Go 

 

5.1  How Do You Know That? - Develop  (2 days)  

An introduction to proof illustrated by the triangle interior angle sum theorem  

R: Geometric Figures S: Linear Pairs  G: Algebra of linear pairs 

5.2  Do you See What I See? - Develop (2 days)  

Reasoning from a diagram to develop proof‐like arguments about lines and angles, triangles and parallelograms 

R: Symbols in geometry S: Construct midpoint, perpendicular bisectors, and angle bisector.  G: Translations, re�ections, and rotations 

5.3  It’s All in Your Head- Solidify (2 days)  

Organizing proofs about lines, angles and triangles using �ow diagrams and two column proof formats 

R: Congruence statements and sketches S: Organizing proofs  G: Transformations 

5.4 

 

Parallelism Preserved - Develop (2 days)  

Examining parallelism from a transformational perspective  R: Special Quadrilaterals  S: Transformation preservations G: Identify congruence patterns in triangles 

5.5   Claims and Conjectures -Solidify (2 days)  

Generating conjectures from a diagram about lines, angles, and triangles.  

R Properties of quadrilaterals S: Parallel lines with transversals, vertical angles, and exterior angles of a triangle G: Complementary and supplementary angles 

5.6  Justi�cation and Proof - Practice  (2 days)  

Write formal proofs to prove conjectures about lines, angles and triangles.  

R Recalling features of rigid-motion transformations S Solving for missing angles  G Connecting a piecewise de�ned equation with the corresponding absolute value equation.  

5.7  Parallelogram Conjectures and Proof - Solidify (2 days) 

Proving conjectures about parallelograms  R: Sketching quadrilaterals based on speci�c features S: Properties of parallelograms G: Using mathematical symbols 

5.8  Guess My Parallelogram - Practice (2 days)  

Identifying parallelograms from information about the diagonals 

R: Constructing perpendicular bisectors and angle bisectors S: Testing for parallelograms G: Features of triangles and quadrilaterals 

5.9 

 

Centers of a Triangle - Practice (2 days)  

Reading and writing proofs about the concurrency of medians, angle bisectors and perpendicular bisectors of the sides of a triangle 

R:Test prep  S: Writing proofs G: The algebra of parallelograms 

Updated 10-11-18 

Module 6: Similarity and Right Triangle Trigonometry (24 days)

  Task #  Title  Topic  Ready-Set-Go 

 

6.1  Photocopy Faux Pas- Develop (1 day)  

Describing the essential of a dilation  R Scale factors for similar shapes S Dilations in real world contexts G Rates of change of linear, exponential and quadratic  

6.2  Triangle Dilations - Solidify(2 days)  

Examining proportionality relationships in triangles that are known to be similar to each other based on dilations 

R angle relationships S Creating dilations and examining their parts G Classify the transformation and de�ne it.  

6.3  Similar Triangles and Other Figures - Solidify (3 days)  

Comparing de�nitions of similarity based on dilations and relationships between corresponding sides and angles 

R Solving proportions S Proving similarity G Ratios in dilated polygons 

6.4  Cut by a transversal - Solidify (2 days)  

Examining proportional relationships of segments when two transversals intersect sets of parallel lines 

R Pythagorean Theorem and Ratios for similar triangles  S Proportionality of transversals across parallel lines G Similarity in slope triangles  

6.5  Measured Reasoning - Practice (1 day)  

Applying theorems about lines, angles, and proportional relationships when parallel lines are crossed by multiple transversals  

R Pythagorean theorem and ratios of similar triangles S Using parallel lines and angle relationships to �nd missing values G Solve equations including those including proportions 

One day for extra practice on using theorems about parallel lines crossed by multiple transversals 

   

Quiz 6.1 - 6.5     

  6.6  Yard Work in Segments - Solidify (2 days)  

Applying understanding of similar and congruent triangles to �nd midpoint or any point on a line segment that partitions the segment in a given ratio 

R Averages and center S Midpoints of segments and proportionality of sides in embedded similar triangles G Proportionality with parallel lines  

6.7  Pythagora by Proportions - Practice (2 days)  

Using similar triangles to prove the Pythagorean theorem and theorems about geometric means in right triangles 

R Determining similarity and congruence in triangles  S Similarity in right triangles  G Using Similarity and parallel lines to solving problems  

Updated 10-11-18 

6.8  Are Relationships Predictable - Develop (2 days)   

Developing and understanding of right triangle trigonometric relationships based on similar triangles  

R Properties of Right Triangles  S Creating Trigonometric Ratios for Right Triangles G Factoring Quadratics  

 

One day for extra practice on special right triangles 

   

6.9  Relationships with Meaning - Solidify (2 days)  

Finding relationships between sine and cosine ratios for right triangles, including the Pythagorean identity 

R Solving equations and proportions S trigonometric Ratios and Connections between them G Slope as a ratio 

One day for extra practice on sine and cosine ratios for right triangles 

   

6.10  Finding the Value of a Relationship -Solidify (2 days)  

Solving for unknown values in right triangles using trigonometric ratios 

R Modeling contexts with visuals  S Solving triangles using Trigonometric Ratios G Trigonometric Ratios 

One day fo r extra practice on solving for unknowns in right triangles 

   

6.11  Solving Right Triangles Using Trigonometric Relationships - Practice  (2 days)  

Practice setting up and solving right triangles to model real world contexts.  

R Similar triangles and proportional relationships with parallels  S Solving trigonometric ratios and pythagorean theorem  G Applying trigonometric ratios and identities to solve problems  

Updated 10-11-18 

Module 1: Quadratic Functions (15 Days)   Task #  Title  Topic  Ready-Set-Go 

1.1 

 

Something to talk about - Develop (1 day) 

An introduction to quadratic functions, designed to elicit representations and surface a new type of pattern and change 

R: Distributive Property S: Recognizing linear exponential and quadratic functions G: Rates of change from multiple representations 

1.2 

 

I Rule - Solidify (2 days) 

Solidi�cation of quadratic functions begins as quadratic patterns are examined in multiple representations and contrasted with linear relationships 

R: Distributive Property S: Comparing Area and perimeter  G: Greatest Common Factor 

1.3 

 

Scott’s Macho March - Solidify (2 days) 

Focus speci�cally on the nature of change between values in a quadratic being linear 

R: Multiplying two binomials S: Distinguishing between linear and quadratic patterns G: Interpreting recursive equations to write a sequence 

1.4 

 

Rabbit Run - Solidify (1 day) 

Focus on maximum/minimum point as well as domain and range for quadratics 

R: Applying slope formula S: Investigating perimeters and areas G: Comparing linear and exponential rates of change 

1.5 

 

Tortoise and Hare - Solidify (2 days) 

Comparing quadratic and exponential functions to clarify and distinguish between each type of growth as well as how that growth appears in each of their representations 

R:Recognizing Functions S:Comparing rates of change in linear, quadratic, and exponential functions G:Identify domain and range from a graph  

1.6

 

How does it Grow - Practice  (2 days) 

Incorporating quadratics with the understandings of linear and exponential functions 

R: Transforming lines S: Distinguish between linear, exponential and quadratic functions G: Matching function representations  

Updated 10-11-18 

Module 2: Structures of Expressions 

  Task #  Title  Topic  Ready-Set-Go 

 

2.1 

 

Transformers:  Shifty y’s – A Develop  (2 days) 

Connecting transformations to quadratic functions and parabolas 

R: Finding Key features in the graph of quadratic expression  S: Transformations on quadratics G: Finding Square roots 

2.2 

 

Transformers: More Than Meets the y’s – A Solidify (2 days) 

Working with vertex form of a quadratic, connecting the components to transformations 

R: Standard form of quadratic equations S: Graphing a standard . Writing the equation of a transformed parabola in vertex form G: Features of Parabolas 

2.3  Building the Perfect Square – A Develop (3 days) 

Visual and algebraic approaches to completing the square  R: Graphing lines using the intercepts S: Completing the squares by paying attention to the parts G: Features of horizontal and vertical lines 

2.4  A Square Deal– A Solidify (3 days)  

Visual and algebraic approaches to completing the square  R: Find y-intercepts in parabolas S: Completing the square when a>1 G:Evaluating functions 

2.5 

 

Be There or Be Square– A Practice (2 days)  

Visual and algebraic approaches to completing the square  R: Recognizing Quadratic Equations S: Changing from standard form of quadratic to vertex form  G: Writing Recursive equations for quadratic functions 

 

2.6 

 

Factor Fixin’ – A Solidify (2 days)  

Connecting the factored and expanded forms of a quadratic 

R: Creating Binomial Quadratics S: Factoring Trinomials G: Taking the square root of perfect squares 

2.7 

 

The x Factor – A Solidify (2 days)  

Connecting the factored and expanded or standard forms of a quadratic 

R: Exploring the density of the number line S: Factoring Quadratics G:Graphing Parabolas 

2.8H 

 

The Wow Factor – A Solidify  (3 days)  

Connecting the factored and expanded forms of a quadratic when a-value is not equal to one 

R: Comparing arithmetic and geometric sequences S:Writing an area model as a quadratic expression. Factoring quadratic expressions when a>1 G: Finding the equation of the line of symmetry of a parabola 

2.9  Lining Up Quadratics – A Solidify 

Focus on the vertex and intercepts for quadratics  R: Multiplying Binomials using Two-Way tables S: Factored Form of a Quadratic Function 

Updated 10-11-18 

 

(2 days)   G: Vertex Form of a Quadratic Equation 

2.10 

 

I’ve Got a Fill-in – A Practice (1 day)  

Building �uency in rewriting and connecting di�erent forms of a quadratic 

R: Quadratic written in multiple forms S: Finding multiple representations of a quadratic G: Factoring Quadratics 

Updated 10-11-18 

Module 3 Quadratic Functions (25 Days) 

  Task #  Title  Topic  Ready-Set-Go   

 

3.1 

 

The In- Betweeners  Develop (2 days)  

Examining the values of continuous exponential functions between integers  

R Comparing additive and Multiplicative patterns  S: Evaluate Expression with Rational Exponents  G: Simplifying Exponents  

3.2  Half Interested - Solidify  (2 days)  

Connecting radical and rules of exponents to create meaning for rational exponents  

R: Simplifying Radicals  S: Finding arithmetic and geometric means G: Simplifying Exponents  

3.3  More Interesting - Solidify (1 day)  

Verifying that properties of exponents hold true for rational exponents  

R: Meaning of Exponents  S: Finding equivalent expressions and functions  G: Using rules of exponents  

3.4 

 

Radical Ideas - Practice (3 days)  

Becoming �uent converting between exponential and radical forms of expressions  

R: Standard form ← → Factored Quadratic form  S: Radical notation and radical exponents  G: x-intercepts for linear, exponential and Quadratics functions  

Quiz 3.1 - 3.4     

3.5 

 

Throwing an Interception - Develop (3 days)  

Developing the Quadratics formula as a way for �nding x-intercepts and roots of quadratic functions  

R: Converting measurement of area and perimeter  S: Transformations and parabolas, symmetry and parabolas G: Function Notation and Evaluating Functions  

3.6  Curbside Rivalry - Solidify (3 days)  

Examining how di�erent forms of a quadratic expression can facilitate the solving of quadratic equations.  

R: Finding x-intercepts for linear equations  S: Solving Quadratics and connecting Quadratics with Area G: Factoring Expressions  

3.7 

 

Perfecting my Quads - Solidify ( 2 days) + 1 Day Review  

Building �uency with solving quadratic equations  R: Symmetry and Distance  S: Solving Quadratics E�ciently  G: Solving Quadratics and �nding essential features. Solving systems of equations  

  Quiz 3.5 - 3.7     

Updated 10-11-18 

 

3.8 

 

To be Determined - Develop (2 days)  

Surfacing the need for complex numbers as solutions for some quadratic equations  

R: Simplifying radicals  S: Determine nature of Quadratic root G: Solving quadratics by factoring and quadratic formula  

3.9  My Irrational and Imaginary Friends - Solidify (2 days)  

Extending the real dna complex number systems   R: Classifying numbers  S: Simplifying radicals and imaginary numbers G: Solving Quadratic Equations  

3.10  iNumbers -Practice (1 day)  

Examining the arithmetic of real and complex numbers   R: Attributes of quadratics and other functions  S: Operations on di�erent number sets  G: Solving quadratics. Simplifying radicals  

3.11  Quadratic Quandaries - Develop 

Solving Quadratic Inequalities   R: Factoring Polynomials  S: Solving quadratic Inequalities  G: Vertex form for Quadratics  

3.12H  Complex Computations -Solidify 

Representing the arithmetic of complex numbers on the complex plane.  

R: Solving systems of linear equations S: Operations with imaginary numbers  G: Solving Quadratics  

3.13H   All Systems Go! -Solidify  

Solving system of equations using inverse Matrices   R: Rational exponents and solving Quadratics  S: Solving 3x3 systems with Matrices  G: Solving Quadratics  

              

Updated 10-11-18 

Module 4: More Functions, More Features (15 Days)

  Task #  Title  Topic  Ready-Set-Go 

 

4.1  Some of This, Some of That -Develop (1 day)  

Use prior knowledge of functions to develop understanding of piecewise functions  

R: Reading function values in a piece-wise graph  S: Writing piece-wise de�ned functions  G:Using point-slope formula to write the equation of lines  

4.2  Bike Lovers -Solidify (2 days)  

Solidi�cation of graphing and writing equations for piecewise functions  

R: Solving absolute value equations S: Reading the domain and range from a graph  G: Transformations on quadratic functions  

4.3  More Functions with Features - Solidify (2 days)  

Incorporating absolute value as piecewise-de�ned functions 

R: Finding x-intercepts for a quadratic function  S: Absolute value equations G: Interpreting absolute value 

4.4  Re�ections of a Bike Lover - practice  (2 days) 

Fluency with domain, range, absolute value and piecewise-de�ned functions  

R: Re�ecting images S: Absolute value and non-linear functions  G: Simplifying radical expressions  

4.5  What’s your Pace?  - Develop (2 days)  

Comparing input and output values to develop understanding of inverse functions  

R: Square roots  S: Inverse functions  G: Multiplying Square roots  

4.6  Bernie’s Bikes - Solidify (2 days)  

Solidifying inverse functions using multiple representations  

R: Identifying features of functions  S: Square root functions  G: Solving literal equations for a variable 

4.7  More Features, More Functions - Practice  

Using prior knowledge to identify features of a function as well as to create functions when given features  

R: Geometric symbols  S: Features of functions  G: Inverse Functions  

Updated 10-11-18 

Modules 9: Probability (15 days)

  Task #  Title  Topic  Ready-Set-Go 

 

9.1  TB or not TB - Develop (2 days) 

Estimating conditional probabilities and interpreting the meaning of a set of data 

R Venn diagrams, cated and read.  S Interpret tree diagram, making observations of probability G Basic probability 

9.2  Chocolate Vs Vanilla - Solidify (2 days)  

Examining conditional probability using multiple representations.  

R Analyzing data in a Venn Diagram  S Writing conditional statements from two-way tables G Fractions, percents and operations.  

9.3  Fried Freddy’s - Solidify (2 days) 

Using sample to estimate probabilities   R Independent and dependent events.  S Additional rule, interpreting a Venn Diagram.  G Equivalent ratios and proportions.  

9.4  Visualizing with Venn - Solidify (2 days) 

Creating Venn diagrams using data while examining the addition rule for probability  

R Products of probabilities, multiplying and dividing fractions.  S addition rule for probability  G Writing conditional statements from two-way tables 

9.5  Freddy Revisited - Solidify (1 day) 

Examining independence of events using two-way tables   R Quadratic function review  S Independence  G Probabilities from two-way tables 

9.6  Striving for Independence - Practice (2 days) 

Using data in various representations to determine independence.  

R End of year review S Representing independent events in Venn Diagrams  G Conditional probability and independence 

Updated 10-11-18 

Module 7: Circle from a Geometric Perspective (19 days)

  Task #  Title  Topic  Ready-Set-Go 

 

7.1  Centered - Develop (1 day) 

Searching for center of rotation using perpendicular bisectors as a tool. 

R Scale factors and center of dilations S Finding the center of rotation G Finding the circumference and area for circles.  

7.2  Circle Dilations - Solidify (1 day)  

Proving circles are similar.   R Finding missing angles, rotational symmetry, and regular polygons S Dilations, proportionality between similar �gures.  G Finding lines of re�ection, �nding the center of a circle.  

7.3 

 

Cyclic Polygons - Solidify (2 days)  

Examining relationships between central angles, inscribed angles, circumscribed angles and their arcs.  

R Symmetry, Trigonometric Ratios S Angles and how they connect with arcs.  G Finding length of arcs  

7.4  Planning the Gazebo - Develop (2 days)  

Developing formulas for perimeter and area of regular polygons. 

R Radius and Area of Circumference  S Finding area and perimeter of regular polygons G Find area of a sector of a circle 

 7.5 

From Polygons to Circles - Solidify (2 days)  

Justifying formula for circumference and area of circles using intuitive limit arguments.  

R Angles and Arcs of circles, ratios with similar shapes S Connecting polygons with circles G Finding arc length as a distance 

7.6  Circular Reasoning - Practice ( 1 day)  

Practicing circle relationships   R Measurement conversion and scaling  S Arc Length, arc measure, central and inscribed angles G Area and Distance for composed �gures  

7.7  Pied - Develop ( 2 days)  

Using Proportional reasoning to calculate arc length and area of sectors  

R Circumference and ratios S Fluency with area and circumference and sectors of circles  G Finding area and decomposing area  

7.8  Madison’s Round Garden - Practice and Develop ( 2 days)  

Using the ratio of arc length of radius to develop radians as a way of measuring angles.  

R Finding volume and surface area  S Radians  G Same angles with di�erent size sectors and arcs, accompanying ratios  

  7.9  Rays and Radians - Solidify and Practice ( days)  

Converting between degree measures and radian measure of an angle.  

R Angles, arcs and areas  S Converting between radians and degrees   G Finding centers of rotation 

7.10  Sand Castles - Practice (2 days) 

Working with volume and scaling to see relationships.   R Finding the center of a circle S Finding surface area and volume  G Radian and degree conversions; sectors of circles.  

Updated 10-11-18 

  7.11   Footprints in the Snad.  

   

  7.12H   Cavalieri to the Rescue - Solidify 

Working with Cavalieri’s principle   R Using the distance formula S Applying Cavalieri’s theorem  G Congruent and similar solids  

Updated 10-11-18 

Module 8: Circles and Other Conics (as time allows)

  Task #  Title  Topic  Ready-Set-Go 

  8.1  Circling Triangles -Develop 

Deriving the equation of a circle using the pythagorean Theorem 

R: Special products and factors.  S: Writing the equations of circles.  G: Verifying pythagorean triples.  

8.2  Getting Centered - Solidify 

Completing the square to �nd the center and radius of a circle given by an equation  

R Making perfect square trinomials S Writing equations of circles with center (h,k) and radius r.  G Verifying if a point is a solution.  

8.3  Circle Challenge - Practice 

Writing the equation of a circle given various information  R Finding the distance between 2 points.  S Writing equations of a circle.  G Finding the middle term in perfect square trinomials.  

8.4  Directing our Focus - Develop 

Derive the equation of a parabola given a focus and directrix 

R Graphing quadratics S Sketching parabolas from a conic de�nition  G Writing the center and radius of a circle. 

8.5  Functioning with Parabolas - Solidify 

Connecting the equations of a parabolas to prior work with quadratic functions  

R Standard form of a quadratic  S The equation of a parabola based on the geometric de�nition G The maximum or minimum value of the quadratic.  

8.6  Turn it Around - Solidify 

Writing the equation of a parabola with a vertical directrix, and constructing an argument that all parabolas are similar  

R Review of circles.  S Writing equations of horizontal parabolas.  G: Identifying key features of a quadratic written in vertex form.  

8.7H  Operating on a Shoestring -Solidify 

Build understanding of the de�nition of a parabola as the set of all points equidistant from a given point and a line  

R Solving radical equations S Graphing Ellipses  G Point-Slope form of a line.  

8.8H  What happens if…? -Solidify 

To develop the de�nition of a hyperbola as the set of all points in the plan such that the di�erence between the distances from the point to each of the two foci is constant.  

R Identifying foic sections by their equations.  S Graphing hyperbolas G Writing the equations of conic sections in standard form.  

Updated 10-11-18