Collierville Schools 6th Grade Math—Advanced Honors

Scope and Sequence Standards highlighted in green represent the major content of the grade level.

Standards highlighted in yellow represent 7th grade standards that represent an extension of 6th grade content. Unlighted standards represent supporting content standards of the grade level. Revised June 2019

1st Quarter 6th Grade Module 2: Arithmetic Operations Including Division of Fractions

7th Grade Module 2: Rational Numbers

Standards Learning Targets New or Recently Introduced Terms

Familiar Terms and Symbols

6.NS.A.1 Interpret and compute quotients of fractions, and solve contextual problems involving division of fractions by fractions (e.g., using visual fraction models and equations to represent the problem is suggested). For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 times 8/9 is 2/3 ((a/b) ÷ (c/d) = ad/bc.) Further example: How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? 6.NS.C.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the

Topic A: Addition and Subtraction of Integers and Rational Numbers (7.NS.A.1a, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d) 7th Lesson 1: Opposite Quantities Combine to Make Zero 7th Lesson 2: Using the Number Line to Model the Addition of Integers 7th Lesson 3: Understanding Addition of Integers 6th Lesson 15: Locating Ordered Pairs on the Coordinate Plane 6th Lesson 19: Problem Solving and the Coordinate Plane 6th Lesson 18: Least Common Multiple and Greatest Common Factor

• Additive Identity

• Additive Invers

• Formula for the Distance between Two Numbers

• Multiplicative Identity

• Repeating Decimal

Expansion

• Terminating Decimal Expansion

• Absolute Value

• Associative Property of Multiplication and Addition

• Commutative Property

of Multiplication and Addition

• Credit

• Debit

• Deposit

• Distributive Property

• Equation

• Expression

• Integer

• Inverse

plane with negative number coordinates. a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself. For example, – (–3) = 3, and that 0 is its own opposite. b. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. 6.NS.C.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. 6.NS.B.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple

7th Lesson 4: Efficiently Adding Integers and Other Rational Numbers 7th Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers 7th Lesson 6: The Distance Between Two Rational Numbers 7th Lesson 7: Addition and Subtraction of Rational Numbers 7th Lessons 8-9: Applying the Properties of Operations to Add and Subtract Rational Numbers Topic B: Multiplication and Division of Integers and Rational Numbers (7.NS.A.2a, 7.NS.A.2b, 7.NS.A.2c) 7th Lesson 10: Understand Multiplication of Integers 7th Lesson 11: Develop Rules for Multiplying Signed Numbers 7th Lesson 12: Division of Integers 7th Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions 7th Lesson 14: Converting Rational Numbers to Decimals Using Long Division

• Multiplicative Inverse

• Negatives

• Opposites

• Overdraft

• Positives

• Rational Numbers

• Withdraw

of a sum of two whole numbers with no common factor. For example, express 36+8 as 4(9+2). 7.NS.A.2 (6.NS.B.2, 6.NS.B.3) Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. a. 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. b. 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. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. 7.NS.A.1 (6.NS.C.7a, 6.NS.C.7b, 6.NS.C.7c) Apply and extend previous understandings of addition and

6th Lesson 8: Dividing Fractions and Mixed Numbers 7th Lesson 15: Multiplication and Division of Rational Numbers 7th Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers Topic C: Applying Operations with Rational Numbers to Expressions and Equations (7.NS.A.3, 7.EE.A.2, 7.EE.B.4a) 7h Lesson 17: Comparing Tape Diagram Solution to Algebraic Solutions 7th Lessons 18-19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers 7th Lesson 20: Investments – Performing Operations with Rational Numbers 7th Lesson 21: If-Then moves with Integer Number Cards 7th Lesson 22: Solving Equations Using Algebra

subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. a. Describe situations in which opposite quantities combine to make 0. b. 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. c. Understanding subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. d. Apply properties of operations as strategies to add and subtract rational numbers.

6th and 7th Grade Module 1: Ratios and Proportional Relationships

Standards Learning Targets New or Recently Introduced Terms

Familiar Terms and Symbols

6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, the ratio of wings to beaks in a bird house at the zoo was 2:1, because for every 2 wings there was 1 beak. Another example could be for every vote candidate A received,

Topic A: Proportional Relationships (7.RP.A.2a) 6th Lessons 1-2: Ratios 7th Lesson 1: An Experience in Relationships as Measuring Rate 7th Lesson 2: Proportional

• Constant of Proportionality

• Miles per Hour

• One-to-One

Correspondence between Two Figures in the Plane

• Convert

• Coordinate Plane

• Equation

• Equivalent Ratios

• Measurement of a

candidate C received nearly three votes 7.RP.A.2 Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent rations in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin).

Relationships 7th Lesson 3-4: Identifying Proportional and Non-Proportional Relationships in Tables 7th Lesson 5-6: Identifying Proportional and Non-Proportional Relationships in Graphs

• Proportional Relationship

• Scale Drawing

• Scale Factor

Quantity

• Percent

• Quantity (illustration)

• Rate (illustration)

• Tape Diagram

Quarter 1 Notes Standards 6.NS.C.7a-c: Understand ordering and absolute value of rational numbers, were addressing in the summer work packet and should be reviewed during the first two weeks of school. These standards are addressed in the 6th Grade Module 3 Lessons 7-13 if students need additional resources.

2nd Quarter

6th and 7th Grade Module 1: Ratios and Proportional Relationships (cont.)

Standards Learning Targets New or Recently Introduced Terms

Familiar Terms and Symbols

7.RP.A.2 (6.RP.A.2, 6.RP.A.3a, 6.RP.A.3b, 6.RP.A.3d) Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin). b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Topic B: Unit Rate and the Constant of Proportionality (7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d, 7.EE.B.4a) 7th Lesson 7: Unit Rate as the Constant of Proportionality 7th Lesson 8-9: Representing Proportional Relationships with Equations 7th Lesson 10: Interpreting Graphs of Proportional Relationships Topic C: Ratios and Rates Involving Fractions (7.RP.A.1, 7.RP.A.3, 7.EE.B.4a) 7th Lesson 11-12: Ratios of Fractions and Their Unit Rates 7th Lesson 13: Finding Equivalent Ratios Given the Total Quantity 7th Lesson 14: Multi-Step Ratio Problems 7th Lesson 15: Equations of Graphs of Proportional Relationships Involving Fractions

• Equivalent Ratios

• Measurement of a Quantity

• Percent

• Quantity (illustration)

• Rate (illustration)

• Scale Drawing

• Unit Rate

• Convert

• Coordinate Plane

• Equation

Topic D: Ratios of Scale Drawings (7.RP.A.2b, 7.G.A.1) 7th Lesson 16: Relating Scale Drawings to Ratios and Rates 7th Lesson 17: The Unit Rate as the Scale Factor 7th Lesson 18: Computing Actual Lengths from a Scale Drawing 7th Lesson 19: Computing Actual Areas from a Scale Drawing 7th Lesson 20: An Exercise in Creating a Scale Drawing 7th Lesson 21-22: An Exercise in Changing Scales

7th Grade Module 4: Percent and Proportional Relationships

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

7.RP.A.3 (6.RP.A.3c) Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Topic A: Finding the Whole 7th Lesson 1 & 2: Percent & Part of a Whole as a percent 7th Lesson 4: Percent Increase and Decrease 7th Lesson 6: Fluency with Percents Topic B: Percent Problems

• Absolute Error

• Percent Error

• Equivalent Rations

• Measurement of a Quantity

• Percent

• Quantity (illustration)

• Rate (illustration)

Including More than One Whole 7th Lesson 7: Markup and Markdown Problems 7th Lesson 9: Problem Solving When the Percent Changes 7th Lesson 10: Simple Interest 7th Lesson 11: Tax, Commissions, Fees, and Other Real- World Percent Applications

6th Grade Module 4: Expressions and Equations 7th Grade Module 3: Expressions and Equations

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions. 6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents. 7.EE.A.1 (6.EE.A.3) Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.A.2 (6.EE.A.4)

6th grade Topic B: Special Notations of Operation (6.EE.A.1, 6.EE.A.2c) 6th Lesson 5: Exponents 6th Lesson 6: The Order of Operations 7th grade Topic A: Use Properties of Operations to Generate Equivalent Expressions (7.EE.A.1, 7.EE.A.2) 7th Lesson 1-2: Generating Equivalent Expressions 7th Lesson 3-4: Writing Products as Sums and Sums as Products 7th Lesson 5: Using the Identity and

• Expression in Expanded Form

• Expression in Factored

Form

• Expression in Standard Form

• Distribute

• Equation

• Equivalent Expressions

• Factor

• Number Sentence

• Numerical Expression • True or False Number

Sentence

• Truth Values of a Number Sentence

• Variable or Unknown

Number

Understand that rewriting an expression in different forms in a contextual problem can provide multiple ways of interpreting the problem and how the quantities in it are related. For example, shoes are on sale at a 25% discount. How is the discounted price P related to the original cost C of the shoes? C - 7.EE.B.4 (6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c) 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.

Inverse to Write Equivalent Expressions 7th Lesson 6: Collecting Rational Number Like

3rd Quarter

6th Grade Module 4: Expressions and Equations (cont.) 7th Grade Module 3: Expressions and Equations (cont.)

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

7.EE.B.4 (6.EE.B.9a, 6.EE.B.9b)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.

6.EE.B.5 Understand solving an equation or inequality is carried out by determining if any of the values from a given set make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 6.EE.B.6 Use variables to represent numbers and write expressions when solving a real- world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

6.EE.B.7

6th Grade Topic G: Solving Equations (6.EE.B.5, 6.EE.B.6, 6.EE.B.7) 6th Lessons 26-27: One-Step Equations – Addition and Subtraction-Multiplication and Division 6th Lessons 28-29: Two-Step Problems and Multi-Step Problems - All Operations 6th Lesson 32: Multi-Step Problems in the Real World 6th grade Topic H: Applications of Equations (6.EE.B.5, 6.EE.B.6, 6.EE.B.7, 6.EE.B.8, 6.EE.C.9) 6th grade Lesson 33: From Equations to Inequalities 6th grade Lesson 34: Writing and Graphing Inequalities in Real-World Problems Topic B: Solve Problems Using

• Inequalities (and their symbols)

• Greater Than >

• Less Than <

• Greater Than or Equal to ≥

• Less Than or Equal to ≤

• Equation

• Equivalent Expressions

• Exponential Notation for Whole Number Exponents

• Expression

• Linear Expression • Number Sentence

• Numerical Expression

• Solution of an Equation

• Truth Values of a Number

Sentence

• Value of a Numerical Expression

• Variable

Solve real-world and mathematical problems by writing and solving one- step equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.

6.EE.B.8 Interpret and write an inequality of the form x > c or x < c which represents a condition or constraint in a real-world or mathematical problem. Recognize that inequalities have infinitely many solutions; represent solutions of inequalities on number line diagrams.

Expressions, Equations, and Inequalities (7.EE.B.3, 7.EE.B.4a, 7.EE.B.4b, 7.G.B.4) 7th Lesson 12: Properties of Inequalities 7th Lesson 13: Inequalities 7th Lesson 14: Solving Inequalities 7th Lesson 15: Graphing Solutions to Inequalities

6th Grade Module 6: Statistics

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" Is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages. 6.SP.A.2 Understand that a set of data collected to answer a statistical

6th Grade Topic A: Understanding Distributions (6.SP.A.1, 6.SP.A.2, 6.SP.B.4, 6.SP.B.5b) 6th Lesson 1: Posing Statistical Questions 6th Lesson 2: Displaying a Data Distribution 6th Lesson 3: Creating a Dot Plot (Skip Lesson 4 & 5 - Histograms are not part of the TN standards.) Pie Charts: https://www.mathsisfun.com/data/pie- charts.html

• Absolute Deviation

• Box Plot

• Dot Plot

• Frequency

• Frequency Table

• Histogram

• Interquartile Range (IQR)

• Mean • Mean Absolute Deviation

• Line Plot or Dot Plot

question has a distribution which can be described by its center (mean, median, mode) spread (range), and overall shape. 6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 6.SP.B.4 Display a single set of numerical data using dot plots (line plots), box plots, pie charts and stem plots. (Note: Supplemental materials are needed to address pie charts and stem plots.) 6.SP.B.5 Summarize numerical data sets in relation to their context. a. Report the number of observations. b. Describe the nature of the attribute under investigation, including how it was measured and its units of measurement. Give quantitative measures of center (median and/or mean) and variability (range) as well as describing any overall pattern with reference to the context in which the data were gathered. Relate the choice of measures of center to the shape of the data

Stem and Leaf Plots: https://www.mathsisfun.com/data/stem-leaf- plots.html 6th Topic B: Summarizing a Distribution That Is Approximately Symmetric Using the Mean and the Mean Absolute Deviation (6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5) 6th Lessons 6-7: Describing the Center of a Distribution Using the Mean and The Mean as a Balance Point 6th Lesson 8: Variability in a Data Distribution 6th Lesson 9: The Mean Absolute Deviation (MAD) 6th Lessons 10-11: Describing Distributions Using the Mean and MAD 6th Grade Topic C: Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range (6.SP.A.2, 6.SP.A.3, 6.SP.B.4, 6.SP.B.5) 6th Lesson 12: Describing the Center of a Distribution Using the Median 6th Lesson 13: Describing Variability Using the Interquartile Range (IQR)

(MAD)

• Median

• Relative Frequency

• Relative Frequency Histogram

• Relative Frequency Table

• Statistical Question

• Variability

distribution and the context in which the data were gathered.

6th Lesson 14 and 15: Summarizing a Distribution Using a Box Plot and More Practice with Box Plots 6th Lesson 16: Understanding Box Plots

4th Quarter 6th Grade Module 5: Area, Surface Area, and Volume Problems

7th Grade Module 6: Geometry

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; know and apply these techniques in the context of solving real-world and mathematical problems. 6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Know and apply the formulas V = lwh and V = Bh where B is the area of the base to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. 6.G.A.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side that joins two vertices (vertical or horizontal segments only). Know and apply these techniques in the context of

6th grade Topic A: Area of Triangles, Quadrilaterals, and Polygons (6.G.A.1) 6th grade Lesson 1-4: The Area of Parallelograms and Triangles 6th grade Lesson 5: The Area of Polygons Through Composition and Decomposition

7th grade Topic D: Problems Involving Area and Surface Area (7.G.B.5)

7th Grade Lesson 20-21: Real-World Area Problems and Mathematical Area Problems 7th Grade Lesson 23-24: Surface Area 6th grade Topic B: Polygons on the Coordinate Plane (6.G.A.3) 6th Lesson 7: Distance on the Coordinate Plane 6th Lesson 8: Drawing Polygons in the Coordinate Plane. 6th Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate Plane

• Altitude and Base of a Triangle

• Cube

• Hexagon

• Line Perpendicular to a

Plane

• Net

• Parallel Planes

• Pentagon

• Right Rectangular Prism

• Surface of a Prism

• Triangular Region

• Angle

• Area

• Length of a Segment

• Parallel

• Parallelogram

• Perimeter

• Perpendicular

• Quadrilateral

• Rectangle

• Segment

• Square

• Trapezoid

• Triangle

• Volume

solving real-world and mathematical problems. 6.G.A.4 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. 7.G.B.5 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.

Topic C: Volume of Right Rectangular Prisms (6.G.A.2) 6th Lesson 13-14: The Formulas for Volume and Volume in the Real World 7th Lesson 25: Volume of Right Prisms Topic D: Nets and Surface Area (6.G.A.2, 6.G.A.4) 6th Lesson 15-17: Representing Three-Dimensional Figures Using Nets and From Nets to Surface Area 6th Lesson 18: Determining Surface Area of Three- Dimensional Figures 6th Lesson 19: Surface Area and Volume in the Real World

After TCAP 7th Grade Module 5: Statistics and Probability

7th Grade Module 6: Geometry (cont.)

Standards Learning Targets New or Recently Introduced Terms Familiar Terms and Symbols

7.SP.C.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 is

Topic A: Calculating and Interpreting Probabilities 7th Lesson 1: Chance Experiments 7th Lesson 2: Estimating Probabilities by Collecting Data 7th Lesson 3-4: Chance Experiments with Equally Likely Outcomes and Calculating Probabilities for Chance

• Biased sample

• Dependent Events

• Experiment

• Experimental Probability

• Independent Events

• Experiment

• Certain

• Impossible

• Random

neither unlikely not likely, and a probability near 1 indicates a likely event. 7.SP.C.6 Approximate the probability of a chance event by collecting date on the chance process that produces it and observing its long-run relative frequency, and predicting the approximate relative frequency given the probability. For example, when rolling a number cube 600 time, predict that a 3 or a 6 would be rolled roughly 200 times, but probably not exactly 200 times.

Experiments with Equally Likely Outcomes 7th Lesson 5: Chance Experiments with Outcomes that are Not Equally Likely Topic B: Estimating Probabilities 7th Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities 7th Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model 7th Lesson 10-11: Conducting a Simulation to Estimate the Probability of an Event 7th Lesson 12: Applying Probability to Make Informed Decisions

• Outcomes

• Probability

• Sample Space

• Theoretical Probability • Tree Diagram

7.G.B.3 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 circumference and area of a circle. 7.G.B.4 Know and 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.

Topic C: Use Equations and Inequalities to Solve Geometry Problems (7.G.B.3, 7.G.B.5) 7th Lesson 16: The Most Famous Ratio of All 7th Lesson 17: The Area of a Circle Topic A: Unknown Angles 7th Lesson 1: Complementary and Supplementary Angles 7th Lesson 2: Solving for Unknown Angles Using Equations

• Adjacent Angles

• Circle

• Circular Region or Disk

• Circumference

• Coefficient of a Term

• Complementary Angles

• Diameter of a Circle

• Interior of a Circle

• Area

• Angles

• Perimeter

• Polygon

7th Lesson 3: Solving for Unknown Angles Using Equations 7th Lesson 4: Solving for Unknown Angles Using Equations

• Pi

• Radius

• Supplementary Angles

• Term`

• Vertical Angles