Name



| | | | |

|Review Sections |# of Days to | | |

| |Complete |Standard(s) |Assignment |

|1-5 Adding Integers |1 |Math Skills |Day 1 |

|1-6 Subtracting Integers | |Practice |Warm-up: PVMS Warm-up Packet |

|1-9 Multiplying and Dividing Integers | | |Lesson: Review adding, subtracting, multiplying and dividing integer |

|To use rules to add integers | | |rules |

|To use rules to subtract integers | | |HW: Review worksheet |

|To use multiply integers | | |Closing: How can you use integers to describe the depth of a |

|To use rules divide integers | | |submarine? |

|1-2 The Order of Operations |1 |Math Skills |Warm-up: PVMS Warm-up Packet |

|To use the order of operations | |Practice |Lesson: Review the order of operations |

|To use grouping symbols | | |HW: Practice 1-2 |

| | | |Closing: Why do we need to agree on an order of operations in |

| | | |mathematics? |

|1-3 Writing and Evaluating Expressions |1 |Math Skills |Day 1 |

|To evaluate variable expressions | |Practice |Warm-up: PVMS Warm-up Packet |

|To solve problems by evaluating expressions | | |Lesson: Review writing and evaluating expressions |

| | | |HW: Practice 1-3 |

| | | |Closing: What operation is called for in an expression like 3ab? How|

| | | |many factors are there? |

|3-4 Using a Formula |2 |Math Skills |Warm-up: PVMS Warm-up Packet |

|To substitute into formulas | |Practice |Lesson: Review substituting into formulas using the PSSA 8th grade |

|To use the formula for perimeter of a rectangle| | |formula sheet |

| | | |HW: Practice 3-4 |

| | | |Closing: Use the volume formula to find the volume of a cylinder with|

| | | |a height of 10 in. and a radius of 4in. |

|TEST on Review Concepts |1 | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Test on Review Sections |

TOTAL DAYS – 6 (Day 6)

|Solving One-Step Equations |# of Days to |Standard(s) |Assignment |

| |Complete | | |

|2-4 Variables and Expressions |1 |6.EE.2 |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review true false and open equations and solutions of |

| | | |equations. |

| | | |HW: Practice 2-4 |

| | | |Closing: Explain the difference between equations that are true or|

| | | |false and equations that are open sentences. |

|2-5 Solving Equations by Adding or |1 |8.EE.7 |Day 1 |

|Subtracting | | |Warm-up: PVMS Warm-up Packet |

|To solve one-step equations using subtraction | | |Lesson: Define inverse operations; model the steps needed to solve |

|or addition | | |an equation involving addition or subtraction |

| | | |HW: Pg. 91: 2-32 even |

| | | |Closing: When solving equations, addition and subtraction are known|

| | | |as what type of operation? Why? What other pair of operations are |

| | | |of this type? Why? |

|2-6 Solving Equations by Multiplying or |1 |8.EE.7 |Day 1 |

|Dividing | | |Warm-up: PVMS Warm-up Packet |

|To solve one-step equations using division or | | |Lesson: Discuss the division and multiplication properties of |

|multiplication | | |equality; Model the steps needed to solve an equation involving |

| | | |multiplication or division |

| | | |HW: Pg. 96: 2-42 even |

| | | |Closing: How do you solve an equation involving multiplication or |

| | | |division? |

|Quiz on Sections 2-5 – 2-6 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on section 2-5 to 2-6 |

|3-5 Solving Equations by Adding or |0.5 |8.EE.7 |Warm-up: PVMS Warm-up Packet |

|Subtracting Decimals | | |Lesson: Model the steps needed to solve a decimal equation |

|To solve one-step decimal equations using | | |involving addition or subtraction |

|addition and subtraction | | |HW: Practice 3-5 evens |

| | | |Closing: Explain how to get the variable alone on one side of the |

| | | |equation. |

|3-6 Solving Equations by Multiplying or |0.5 |8.EE.7 |Warm-up: PVMS Warm-up Packet |

|Dividing Decimals | | |Lesson: Model the steps needed to solve a decimal equation |

|To solve one-step decimal equations involving | | |involving multiplication or division |

|multiplication and division | | |HW: Practice 3-6 evens |

| | | |Closing: Compare solving equations involving decimals to solving |

| | | |equations involving integers. |

|5-7 Solving Equations by Adding or Subtracting|0.5 |8.EE.7 |Warm-up: PVMS Warm-up Packet |

|Fractions | | |Lesson: Model the steps needed to solve and equation involving |

|To solve equations by adding or subtracting | | |addition or subtraction |

|fractions | | |HW: Practice 5-7 evens |

| | | |Closing: Explain how to solve equations involving addition or |

| | | |subtraction. Why is it important to check your solution? |

|5-8 Solving Equations by Multiplying Fractions|0.5 |8.EE.7 |Warm-up: PVMS Warm-up Packet |

|To solve equations by multiplying fractions or | | |Lesson: Model the algorithm to solve an equation by dividing both |

|mixed numbers | | |sides by the same number |

| | | |HW: Practice 5-8 evens |

| | | |Closing: Explain how to solve an equation that involves multiplying|

| | | |the variable by a fraction. |

|*Review for chapter 2/3/5 test |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review practice test |

| | | |HW: Study for test |

|*TEST Chapter 2/3/5 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Test Chapter 2/3 |

| | | |HW: Chapter 3 Cumulative review |

TOTAL DAYS – 8 (Day 14)

| | | | |

|Chapter 7 |# of Days to | | |

|Solving Equations and Inequalities |Complete |Standard(s) |Assignment |

|7-1 Solving Two-Step Equations |2 |8.EE.7 |Day 1 |

|To solve two-step equations | | |Warm-up: PVMS Warm-up Packet |

|To use two-step equations to solve problems | | |Lesson: Model the algorithm to solve a two-step equation; write and |

| | | |solve an equation to solve a real world problem |

| | | |HW: Pg. 354: 2-32 even |

| | | |Closing: Explain the steps needed to solve an equation with two |

| | | |operations |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review and practice. Focus on equations with subtraction of variable |

| | | |terms. |

| | | |HW: Practice 7-1 |

|7-2 Solving Multi-Step Equations |5 |8.EE.7 |Day 1 |

|To combine like terms to simplify an equation | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss identifying and combining like terms; simplify |

| | | |expressions |

| | | |HW: Combining like terms worksheet |

| | | |Closing: How can you recognize like terms in an equation? |

|To use the Distributive property to simplify an| | |Day 2 |

|equation | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review distributive property; simplify expressions with the |

| | | |distributive property |

| | | |HW: page 76 #18-29 (Section 2-2) |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Solve equations using the distributive property and combining|

| | | |like terms |

| | | |HW: Reteaching 7-2 |

| | | |Day 4 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Define consecutive integers; write an equation to solve a |

| | | |consecutive integer problem; use the distributive property to solve an|

| | | |equation |

| | | |HW: Practice 7-2 |

| | | |Closing: Describe a process for solving |

| | | |5(x-2)-7=38 without using numbers in your description. Day 5 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review solving all equation types |

| | | |HW: Practice 7-2 |

| | | |Closing: Write and solve your own multi-step equation. |

|7-3 Multi-Step Equations With Fractions and |2 |8.EE.7 |Day 1 |

|Decimals | | |Warm-up: PVMS Warm-up Packet |

|To solve multi-step equations with fractions | | |Lesson: Discuss coefficients and reciprocals; model solving an |

| | | |equation with fractions |

| | | |HW: page 364 #1-12 |

| | | |Closing: What is a good first step when you solve an equation |

|To solve multi-step equations with decimals | | |containing fractions? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss clearing the equation of decimals by multiplying by a |

| | | |power of ten; model solving the equation with the decimals |

| | | |HW: Practice 7-3 |

| | | |Closing: How can you determine what power of ten you need to clear an |

| | | |equation of all decimals? |

|7-4 Write an Equation |2 |8.EE.7 |Day 1 |

|To write an equation to solve a problem | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Write and solve an equation for a word problem |

| | | |HW: Pg. 368: 1-9 |

| | | |Closing: What problem solving strategy is used in this lesson? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review and practice. |

| | | |Focus on the strategy of using easy numbers, then replacing them with |

| | | |a variable. |

| | | |HW: Practice 7-4 |

|7-5 Solving Equations With Variables on Both |2 |8.EE.7 |Day 1 |

|Sides | | |Warm-up: PVMS Warm-up Packet |

|To solve equations with variables on both sides| | |Lesson: Model the procedure to solve an equation with variables on |

|To use equations with variables on both sides | | |both sides |

| | | |HW: page 373 #1-10 |

| | | |Closing: How is solving an equation with the variable appearing twice |

| | | |on the same side of the equal sign different from solving an equation |

| | | |with the variable appearing on both sides of the equal sign? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss using the Distributive property |

| | | |to simplify one or both sides of an equation before you can get the |

| | | |variable alone |

| | | |HW: Practice 7-5 |

| | | |Closing: How do you move a variable from one side of the equation to |

| | | |the other side of the equation? |

|CC-1 Types of Solution of Linear Equations |1 |8.EE.7 |Warm-up: PVMS Warm-up Packet |

| | | |Look at special cases of “no solution” and “all reals.” |

| | | |Analyze when each will occur. |

| | | |Practice identifying those situations. |

| | | |HW: CC-1 |

|Quiz on Sections 7-1 – 7-5 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: quiz on sections 7-1 to 7-5 |

| | | |HW: page 764 #1-21 |

|2-9 Solving One-Step Inequalities by Adding and|1 |CC.2.2.HS.D.7 |Warm-up: PVMS Warm-up Packet |

|Subtracting | | |Lesson: Define inverse operations; model the steps needed to solve an |

| | | |inequality involving addition or subtraction |

| | | |HW: Pg. 110: 1-19 |

| | | |Closing: When solving inequalities, addition and subtraction are known|

| | | |as what type of operation? Why? What other pair of operations are of |

| | | |this type? Why? |

|2-10 Solving One-Step Inequalities by |1 |CC.2.2.HS.D.7 |Warm-up: PVMS Warm-up Packet |

|Multiplying and Dividing | | |Lesson: Define inverse operations; model the steps needed to solve an |

| | | |inequality involving multiplication or division |

| | | |HW: Pg. 115: 1-25 |

| | | |Closing: What happens when you multiply or divide by a negative in an |

| | | |inequality? |

|7-6 Solving Two-Step Inequalities |2 |CC.2.2.HS.D.7 |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model the algorithm to solve a two-step inequality; write and |

| | | |solve an inequality to solve a real world problem |

| | | |HW: Pg. 379: 3-16 |

| | | |Closing: Explain the steps needed to solve an inequality with two |

| | | |operations |

|Quiz on Sections 2-9, 2-10, 7-6 |1 | | |

|Student assessment | | | |

|*Review Chapter 7 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review practice test |

| | | |HW: Study for test |

|*TEST Chapter 7 |1 | |Lesson: Test Chapter 7 |

|Student assessment | | |HW: Chapter 7 Cumulative review |

TOTAL DAYS – 22 (Day 36)

| | | | |

|Chapter 4 |# of Days to | | |

|Factors, Fractions, and Exponents |Complete |Standard(s) |Assignment |

|Exponents and Multiplication |3 |8.EE.1 |Day 1 |

|To multiply powers with the same base | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model the procedure to multiply powers with the same base |

| | | |HW: page 211 #1-18, 28,29,31,32 |

| | | |Closing: Explain how to evaluate products of powers with the same |

| | | |base; Use the commutative property to isolate powers with the same |

| | | |base |

| | | |Day 2 |

|To find the power of a power | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model finding a power of a power |

| | | |HW: Practice 4-7 |

| | | |Closing: Explain how to evaluate the power of a power. |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review multiplying powers and power of a power |

| | | |HW: Worksheet |

| | | |Closing: Compare and contrast the two new exponent rules. |

|4-4 Simplifying Fractions |2 |8.EE.1 |Day 1 |

|To find equivalent fractions | | |Warm-up: PVMS Warm-up Packet |

|To put fractions in simplest form | | |Lesson: Model the procedure to simplify fractions including those with|

| | | |variables |

| | | |HW: page 198 #14-21, 28-39 |

| | | |Closing: Explain how to simplify fractions with variables (WHEN IN |

| | | |DOUBT, FACTOR IT OUT!) |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review simplifying fractions |

| | | |HW: Practice 4-4 |

| | | |Closing: Explain how to simplify fractions with variables |

|Exponents and Division |3 |8.EE.1 |Day 1 |

|To divide expressions containing exponents | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model the procedure to divide powers with the same base; |

| | | |discuss a zero exponent |

| | | |HW: page 217 #1-16 |

| | | |Closing: Compare the rule for multiplying powers with the same base |

| | | |with the rule for dividing powers with the same base |

| | | |Day 2 |

|To simplify expressions with integer exponents | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Use the division property of exponents to explain negative |

| | | |exponents |

| | | |HW: Practice 4-8 |

| | | |Closing: How can you write an algebraic fraction without a fraction |

| | | |bar? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review division with exponents |

| | | |HW: Worksheet |

| | | |Closing: Ticket Out |

|Quiz on Sections 4-4, 4-7, 4-8 |1 | | |

|5-9 Powers of Products and Quotients |3 |A-SSE.3 |Day 1 |

|To find powers of products and quotients | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss the rule for simplifying products raised to a power |

| | | |HW: page 280 #1-21 |

| | | |Closing: How is the rule for raising a product to a power similar to |

| | | |the distributive property? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss the rule for raising a quotient to a power |

| | | |HW: Practice 5-9 |

| | | |Closing: Is a negative number raised to an odd power even or odd? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review powers of products and quotients |

| | | |HW: Worksheet |

| | | |Closing: Ticket Out |

| Scientific Notation |3 |8.EE.3 |Day 1 |

|To write and evaluate numbers in scientific | |8.EE.4 |Warm-up: PVMS Warm-up Packet |

|notation | | |Lesson: Define scientific notation; change expressions from standard |

| | | |notation to scientific notation and vice versa |

| | | |HW: Practice 4-9 |

| | | |Closing: In scientific notation, what are the guidelines for the first|

| | | |factor? |

| | | |Day 2 |

|To calculate with scientific notation | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Use a calculator to simplify expressions involving scientific|

| | | |notation |

| | | |HW: p.225 #1-12 |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review calculating with scientific notation |

| | | |HW: Worksheet |

|Quiz on Sections 5-9 and 4-9 |1 | | |

|Student assessment | | | |

|*Review for chapter 4/5 test |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review practice test |

| | | |HW: Study for test |

|*TEST Chapter 4/5 |1 | |Lesson: Chapter 4 test |

|Student assessment | | |HW: chapter 4 Cumulative review |

TOTAL DAYS – 18 (Day 54)

|Chapter 8 |# of Days to | | |

|Linear Functions and Graphing |Complete |Standard(s) |Assignment |

|SLO Pre-Test |1 |8.F.1 |Warm-up: PVMS Warm-up Packet |

| | |8.F.2 |Lesson: SLO Pre-Test |

| | |8.F.4 | |

| | |8.EE.6 | |

| | |8.F.5 | |

| | |8.SP.1 | |

| | |8.SP.2 | |

| | |8.SP.3 | |

| | |8.SP.4 | |

| | |8.EE.8 | |

|1-10 The Coordinate Plane |1 |6.NS.6 |Warm-up: PVMS Warm-up Packet |

|To name coordinates and quadrants in the | |6.NS.8 |Lesson: Draw and label the coordinate plane; Model graphing a point |

|coordinate plane | | |on the coordinate plane |

|To graph points in the coordinate plane | | |HW: page 54 #1-37 |

| | | |Closing: Give and example of an ordered pair in the 4th quadrant. In|

| | | |which quadrant is (-3,5)? |

|8-1 Relations and Functions |2 |8.F.1 |Day 1 |

|To determine whether a relation is a function | |8.F.2 |Warm-up: PVMS Warm-up Packet |

|To graph relations and functions | | |Lesson: Define relation, domain range, and function; discuss ways to |

| | | |identify a function |

| | | |HW: page 407 #1-10 |

| | | |Closing: Describe the difference between a relation and a function |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review graphing points on the coordinate plane; graph a |

| | | |relation and use the vertical line test to determine if it is a |

| | | |function |

| | | |HW: Practice 8-1 |

| | | |Closing: How can you identify a function using the vertical line test?|

|8-2 Equations With Two Variables |3 |8.F.4 |Day 1 |

|To find solutions of equations with two | | |Warm-up: PVMS Warm-up Packet |

|variables | | |Lesson: Define a solution; find ordered pairs that are solutions for |

|To graph linear equations with two variables | | |an equation with two variables |

| | | |HW: Reteaching 8-2 |

| | | |Closing: What is the solution of an equation with two variables? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Define a linear equation; model using a table of values to |

| | | |graph a linear equation |

| | | |HW: Pg. 412: 1-11, 28-34 |

| | | |Closing: How can you graph an equation having two variables? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review and practice. |

| | | |Practice 8-2 |

|8-3 Slope and y-intercept |3 |8.EE.6 |Day 1 |

|To find the slope of a line | |8.F.3 |Warm-up: PVMS Warm-up Packet |

|To use slope-intercept form in graphing a | |8.F.4 |Lesson: Define slope of a line; use the slope formula to find the |

|linear equation | | |slope of a line |

| | | |HW: Supplemental worksheet |

| | | |Closing: Describe a line with a positive slope. Describe a line with a|

| | | |negative slope. |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model how to graph a line using the slope-intercept form |

| | | |HW: Supplemental worksheet |

| | | |Closing: Describe a line with no slope. Describe a line with a slope |

| | | |of zero. |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review and practice. |

| | | |HW: Supplemental worksheet |

|CC-4 Slope and Similar Triangles |1 |8.EE.6 |Warm-up: PVMS Warm-up Packet |

| | | |Use similar triangles to explain why slope m is the same between any |

| | | |two distinct points on a non-vertical line in a coordinate plane. |

| | | |Derive the equation, y = mx + b, for a 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. |

|Quiz on Sections 8-1 – 8-3 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections 8-1 to 8-3 |

| | | |HW: |

|CC-2 Comparing Functions |2 |8.F.2 |Day 1 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Analyze rate of change. |

| | | |Compare rate of changes for various functions. |

| | | |Concepts of continuous and not continuous. |

| | | |Practice comparing functions. |

| | | |Class activity on CC-2 |

| | | |HW: CC-2 |

| | | |Day 2 |

| | | |Warm-Up: PVMS Warm-up Packet |

| | | |Lesson: Review and Practice |

| | | |HW: Supplemental Worksheet |

|CC-3 Describing Functions |2 |8.F.5 |Day 1 |

| | | |Warm-Up: PVMS Warm-up Packet |

| | | |Lesson: Analyze graphs of functions. |

| | | |Discuss what different types of graphs show. |

| | | |Vertical lines possible? |

| | | | |

| | | |HW: Supplemental Worksheet |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Analyze graphs of functions. |

| | | |Discuss what different types of graphs show. |

| | | |Vertical lines possible? |

| | | |Class activity on CC-3 |

| | | |HW: CC-3 |

|8-4 Writing Rules for Linear Functions |2 |8.F.1 |Day 1 |

|To write a function rule for a word | | |Warm-up: PVMS Warm-up Packet |

|relationship | | |Lesson: Define function notation and function rule; write a function |

|To write a function rule by analyzing a table | | |rule for real world problems |

|or graph | | |HW: page 424 #1-8 |

| | | |Closing: How do you write a function rule from a table that shows x |

| | | |and f(x) values of a linear function. |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Write a function rule from a graph using the slope and |

| | | |y-intercept of the line |

| | | |HW: Practice 8-4 |

| | | |Closing: What is the difference between a function rule and an |

| | | |equation with two variables? |

|Quiz on Sections CC-2 – 8-4 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections CC-2 to 8-4 |

|*Review Chapter 8-1 – 8-4 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review practice test |

| | | |HW: Study for test |

|*TEST Chapter 8-A |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Test Chapter 8-A |

|CC-5 Graphing Proportional Relationships |1 |8.EE.5 |Warm-up: PVMS Warm-up Packet |

| | | |Compare Rate of Change with the slope of a line |

| | | |Rate of change = slope. |

| | | |Class Activity on CC-5 |

| | | |HW: CC-5 |

|8-5 Scatter Plots |1 |8.SP.1 |Warm-up: PVMS Warm-up Packet |

|To interpret and draw scatter plots | | |Lesson: Define a scatter plot; make a scatter plot from a set of data;|

|To use scatter plots to find trends | | |use a scatter plot to determine trends |

|using correlation | | |HW: Practice 8-5 |

| | | |Closing: How can you use scatter plots to find positive and negative |

| | | |correlations? |

|CC-6 Exploring Bivariate Data |1 |8.SP.1 |Warm-up: PVMS Warm-up Packet |

| | | |Define Bivariate Data and develop real-life examples. |

| | | |Linear vs. Non-linear. |

| | | |Class Activity on CC-6 |

| | | |HW: CC-6 |

|CC-14 Relative Frequency |1 |8.SP.4 |Warm-up: PVMS Warm-up Packet |

| | | |Understand that patterns of association can also be seen in bivariate |

| | | |data by displaying frequencies and relative frequencies in a two-way |

| | | |table. |

|CC-7 Modeling Data With Lines |1 |8.SP.2 |Warm-up: PVMS Warm-up Packet |

| | |8.SP.3 |Positive vs. Negative trends. |

| | | |Trend lines. |

| | | |Class Activity on CC-7 |

| | | |HW: CC-7 |

|8-6 Solve by Graphing |1 |8.SP.1 |Warm-up: PVMS Warm-up Packet |

|To solve problems by graphing | | |Lesson: Graph data in a scatter plot and discuss trend line |

| | | |HW: Practice 8-6 |

| | | |Closing: How are trend lines helpful? |

|Quiz on Sections CC-5 – 8-6 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections CC-5 to CC-14 |

|8-7 Solving Systems of Linear Equations |2 |8.EE.8 |Day 1 |

|To solve systems of linear equations by | | |Warm-up: PVMS Warm-up Packet |

|graphing | | |Lesson: Describe a system of equations and discuss its solution; |

|To use systems of linear equations to solve | | |HW: Reteaching 8-7 |

|problems | | |Closing: Describe the solution to a system of equations. |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss special systems of equations |

| | | |that have no solution or infinitely many solutions |

| | | |Write and graph systems of equations to solve problems |

| | | |HW: Pg: 442: 1-9 |

| | | |Closing: Describe systems with no solution, one solution, and |

| | | |infinitely many solutions |

|CC-8 Solving Systems of Equations |4 |8.EE.8 |Day 1 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Introduce substitution method of solving systems of equations. |

| | | |Practice together. |

| | | |“Inspection” for special cases. |

| | | |HW: Worksheet |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review substitution method of solving systems of equations. |

| | | |HW: Worksheet |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Introduce elimination method of solving systems of equations. |

| | | |HW: Worksheet |

| | | |Day 4 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review elimination method of solving systems of equations. |

| | | |Practice together. |

| | | |“Inspection” for special cases. |

| | | |HW: Worksheet |

|8-8 Graphing Linear Inequalities |2 |A-REI.12 |Day 1 |

|To graph linear inequalities | | |Warm-up: PVMS Warm-up Packet |

|To graph systems of linear inequalities | | |Lesson: Graph a linear inequality on a coordinate plane; discuss the |

| | | |boundary line and appropriate shading |

| | | |HW: page 448 #1-12 |

| | | |Closing: How do you graph the boundary line of a linear inequality? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model how to graph a system of linear inequalities; discuss |

| | | |the solution of the system |

| | | |HW: Practice 8-8 |

| | | |Closing: How do you determine whether the point where the boundary |

| | | |lines of a system of linear inequalities intersect is a solution of |

| | | |the system? |

|Quiz on Sections CC-7 – 8-8 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections CC-7 to 8-8 |

|*Review Chapter 8 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review practice test |

| | | |HW: Study for test |

|SLO Post-Test |1 |8.F.1 |Warm-up: PVMS Warm-up Packet |

| | |8.F.2 |Lesson: SLO Post-Test |

| | |8.F.4 | |

| | |8.EE.6 | |

| | |8.F.5 | |

| | |8.SP.1 | |

| | |8.SP.2 | |

| | |8.SP.3 | |

| | |8.SP.4 | |

| | |8.EE.8 | |

|*TEST Chapter 8 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Test Chapter 8 |

| | | |HW: Chapter 8 Cumulative review |

TOTAL DAYS – 40 (Day 94)

| | | | |

|Chapter 9 |# of Days to | | |

|Spatial Thinking |Complete |Standard(s) |Assignment |

|9-2 Angle Relationships and Parallel Lines |2 |8.G.5 |Day 1 |

|To identify adjacent and vertical angles | | |Warm-up: PVMS Warm-up Packet |

|To relate angles formed by parallel lines and a| | |Lesson: Define adjacent, vertical and congruent angles; discuss |

|transversal | | |supplementary versus complementary angles |

| | | |HW: page 472 #1-5,10-13 |

| | | |Closing: Draw a pair of supplementary angles and a pair of |

| | | |complementary angles |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Define transversal, corresponding angles, alternate interior |

| | | |angles; discuss congruent pairs of angles on parallel lines cut by a |

| | | |transversal |

|9-3 Classifying Polygons |1 |8.G.5 |Warm-up: PVMS Warm-up Packet |

|To classify triangles | | |Lesson: Define a polygon; list classifications of triangles and |

|To classify quadrilaterals | | |quadrilaterals |

| | | |HW: Practice 9-3 |

| | | |Closing: What is a polygon? List 5 types of quadrilaterals. |

|9-5 Congruence |2 |8.G.2 |Day 1 |

|To identify corresponding parts of congruent | | |Warm-up: PVMS Warm-up Packet |

|triangles | | |Lesson: Define congruent figures; discuss corresponding parts of |

|To determine whether triangles are congruent | | |congruent figures |

| | | |HW: page 486 #1-16 |

| | | |Closing: How can you tell if two figures are congruent? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss identifying congruent triangles; list the three ways |

| | | |to show that two triangles are congruent |

| | | |HW: Practice 9-5 |

| | | |Closing: Name the three ways to show that two triangles are congruent.|

|Quiz on Sections 9-2 – 9-5 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections 9-1 to 9-5 |

| | | |HW: page 518 #14-24 |

|9-8 Translations |1 |8.G.1 |Warm-up: PVMS Warm-up Packet |

|To graph translations | |8.G.2 |Lesson: Define a transformation, translation and image; model how to |

|To describe translations | |8.G.3 |translate a figure; write a rule that describes a translation |

| | | |HW: Practice 9-8 |

| | | |Closing: Write a rule to describe the translation of p(-3,4) to |

| | | |P’(-1,-1) |

|9-9 Symmetry and Reflections |1 |8.G.1 |Warm-up: PVMS Warm-up Packet |

|To identify a line of symmetry | |8.G.2 |Lesson: Discuss reflectional symmetry and a line of symmetry; model |

|To graph a reflection of a geometric figure | |8.G.3 |reflecting an image over an axis |

| | | |Model how to reflect an image over lines other than the axes |

| | | |HW: Practice 9-9 |

| | | |Closing: What is a reflection? |

|9-10 Rotations |1 |8.G.1 |Warm-up: PVMS Warm-up Packet |

|To graph rotations | |8.G.2 |Lesson: Define a rotation; discuss the center of rotation and the |

|To identify rotational symmetry | |8.G.3 |angle of rotation; identify rotational symmetry |

| | | |HW: Practice 9-10 |

| | | |Closing: Explain how to recognize rotational symmetry |

|CC-9 Transformations and Congruency |1 |8.G.1 |Warm-up: PVMS Warm-up Packet |

| | |8.G.2 |Review three types of translations |

| | | |Translations produce congruent figures. |

| | | |Class activity on CC-9 |

| | | |HW: CC-9 |

|CC-10 Transformations and Similarity |1 |8.G.4 |Warm-up: PVMS Warm-up Packet |

| | |8.G.5 |Discuss dilations. |

| | | |Dilations produce similar figures. |

| | | |Combine translations and dilations. |

| | | |Class activity on CC-10 |

| | | |HW: CC-10 |

|Quiz on Sections 9-6 – 9-10 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections 9-6 to 9-10 |

| | | |HW: page 519 #25-34 |

|*Review for Chapter 9 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review Practice test |

| | | |HW: Study for test |

|*TEST Chapter 9 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Chapter 9 test |

| | | |HW: Chapter 9 Cumulative review |

TOTAL DAYS: 14 (Day 108)

| | | | |

|Chapter 10 |# of Days to | | |

|Area and Volume |Complete |Standard(s) |Assignment |

|10-7 Volume of Prisms and Cylinders |2 |8.G.9 |Day 1 |

|To find the volume of prisms | | |Warm-up: PVMS Warm-up Packet |

|To find the volume of cylinders | | |Lesson: Define volume and cubic unit; calculate volume using formulas.|

| | | |Explain the formulas for volume of prisms and cylinders. |

| | | |HW: page 565 #1-3,10-13 |

| | | |Closing: Why might you want to find the volume of a triangular prism? |

| | | |A cylinder? A rectangular prism? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Reteaching worksheet 10-7 |

| | | |HW: Practice Worksheet 10-7 |

| | | |Closing: Why is it better to use the calculator button for pi instead|

| | | |of 3.14 when calculating the volume? |

|10-9 Volume: Pyramids, Cones, and Spheres |2 |8.G.9 |Day 1 |

|To find volumes of pyramids and cones | | |Warm-up: PVMS Warm-up Packet |

|To find volumes of spheres | | |Lesson: Define height in relation to slant height. . Explain the |

| | | |formulas for volume of pyramids, cones, and spheres. |

| | | |HW: page 574 #1-14 |

| | | |Closing: How are volumes of pyramids and cones related to volumes of |

| | | |prisms and cylinders? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Reteaching worksheet 10-9 |

| | | |HW: Practice Worksheet 10-9 |

| | | |Closing: If you double the radius of a sphere, what happens to its |

| | | |volume? |

|Quiz on Sections 10-7 and 10-9 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections 10-7 and 10-9 |

TOTAL DAYS: 5 (Day 113)

|Chapter 11 |# of Days to | | |

|Right Triangles in Algebra |Complete |Standard(s) |Assignment |

|11-1 Square Roots and Irrational Numbers |1 |8.NS.2 |Warm-up: PVMS Warm-up Packet |

|To find square roots of numbers | |8.EE.2 |Lesson: Define a square root and a perfect square; simplify square |

|To classify real numbers | | |roots |

| | | |Define an irrational number; classify real numbers |

| | | |HW: Practice 11-1 |

| | | |Closing: What is the most famous irrational number? |

|CC-11 Cube Roots |1 |8.EE.2 |Warm-up: PVMS Warm-up Packet |

| | | |“Discover” meaning of cube roots. |

| | | |Practice mentally finding cube roots of perfect cubes. |

| | | |Class activity on CC-11 |

| | | |HW: CC-11 |

|11-2 The Pythagorean Theorem |2 |8.EE.2 |Day 1 |

|To use the Pythagorean theorem | |8.G.6 |Warm-up: PVMS Warm-up Packet |

|To identify right triangles | |8.G.7 |Lesson: Discuss the Pythagorean theorem; define the legs and |

| | | |hypotenuse of a right triangle |

| | | |Use the Pythagorean theorem |

| | | |HW: page 595 #1-11 |

| | | |Closing: Explain how to use the Pythagorean theorem to find a missing |

| | | |side length. |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Use the converse of the Pythagorean theorem to check whether a|

| | | |triangle is a right triangle. |

| | | |HW: Practice 11-2 |

| | | |Closing: How can you use the Pythagorean theorem to find a right |

| | | |triangle? |

|CC-12 The Pythagorean Theorem |1 |8.G.6 |Warm-up: PVMS Warm-up Packet |

| | | |Use the converse of the Pythagorean theorem to determine if a triangle|

| | | |is a right triangle. |

| | | |Practice with common combinations. |

| | | |HW: CC-12: 1-6 |

|11-3 Distance and Midpoint Formulas |2 |8.G.8 |Day 1 |

|To find the distance between two point | | |Warm-up: PVMS Warm-up Packet |

|To find the midpoint of a segment | | |Lesson: Model the distance and midpoint formulas |

| | | |HW: Pg. 601: 1-17 |

| | | |Closing: What are the distance and midpoint formulas used for? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Review and practice |

| | | |HW: Practice 11-3 |

|Quiz on Sections 11-1 – 11-3 |1 | |Warm-up: PVMS Warm-up Packet |

|Student Assessment | | |Lesson: Quiz on sections 11-1 to 11-3 |

| | | |HW: page 628 #23-38 |

|CC-13 Using the Pythagorean Theorem with |1 |8.G.7 |Warm-up: PVMS Warm-up Packet |

|Three-Dimensional Figures | | |Solve only the length of a diagonal of a rectangular prism problems. |

| | | |Practice. |

| | | |HW: CC-13: 4-6 |

|11-4 Write a Proportion |1 |8.EE.5 |Warm-up: PVMS Warm-up Packet |

|To write a proportion from similar triangles | |8.EE.6 |Lesson: Use proportions to solve similar triangle problems |

| | |8.F.4 |HW: Practice 11-4 |

| | | |Closing: How can you measure a distance indirectly using similar |

| | | |triangles? |

|11-5 Special Right Triangles |2 |8.G.7 |Day 1 |

|To use the relationships in | | |Warm-up: PVMS Warm-up Packet |

|45-45-90 triangles | | |Lesson: Discuss the relationships in a 45-45-90 triangle as it relates|

|To use the relationships in | | |to the Pythagorean theorem |

|30-60-90 triangles | | |HW: Page 611 # 1-7, 15-17 |

| | | |Closing: What special relationship exists in a 45-45-90 triangle? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Discuss the relationships in a 30-60-90 triangle as it relates|

| | | |to the Pythagorean theorem |

| | | |HW: Practice 11-5 |

| | | |Closing: What special relationship exists in a 30-60-90 triangle? |

|13-2 Graphing Nonlinear Functions |3 |8.F.3 |Day 1 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model the method to graph parabolas using a t-chart |

| | | |HW: Supplemental Worksheet – Graphing Parabolas |

| | | |Closing: Why are some parabolas opened up & others opened down? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Model the method to graph absolute value using a t-chart |

| | | |HW: Supplemental Worksheet – Graphing Absolute Value |

| | | |Closing: What is different about the look of graphs of parabolas vs |

| | | |graphs of absolute values? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: |

| | | |HW: Practice 13-2 |

| | | |Closing: How does the equation of a parabola or an absolute value |

| | | |change when you translate it up or down? |

|Quiz on Sections CC13 – 13-2 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections CC13 to 13-2 |

|*Review for Chapter 11/13 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review Practice test |

| | | |HW: Study for test |

|*TEST Chapter 11/13 |1 | |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Chapter 11/13 test |

| | | |HW: Chapter 11 Cumulative review |

TOTAL DAYS: 18 (Day 131)

***** PSSA PRACTICE AND PREPARATION*****

TOTAL DAYS: 5 (Day 136)

|Chapter 13 |# of Days to | | |

|Nonlinear Functions and Polynomials |Complete |Standard(s) |Assignment |

|13-4 Polynomials |2 |HSA.APR.A.1 |Day 1 |

|To identify polynomials | | |Warm-up: PVMS Warm-up Packet |

|To evaluate polynomials | | |Lesson: Introduce monomial, binomial, trinomial and polynomial. |

| | | |Evaluate polynomials for given variable values |

| | | |HW: p. 174 , #2-24 evens |

| | | |Closing: Name other words that have the same prefixes as the |

| | | |polynomials. What do you notice? How do the prefixes help you |

| | | |understand the meaning of the words? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Review and practice |

| | | |HW: Practice 13-4 |

| | | |Closing: Tell why 1/x is not a polynomial. |

|13-5 Adding and Subtracting Polynomials |3 |HSA.APR.A.1 |Day 1 |

|To identify the degree of a polynomial | | |Warm-up: PVMS Warm-up Packet |

|To add polynomials | | |Lesson: Revisit combining like terms with variable degrees |

|To subtract polynomials | | |HW: Supplemental Worksheet |

| | | |Closing: Why is x2 + x not x3? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Steps to add polynomials (horizontally/vertically) |

| | | |HW: Supplemental Worksheet |

| | | |Closing: What is the proper format of your answer? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Steps to subtract polynomials (horizontally/vertically) |

| | | |(distribute negative signs) |

| | | |HW: Supplemental Worksheet |

| | | |Closing: Is there any difference between solving a problem |

| | | |horizontally vs. vertically? |

|Quiz on Sections 13-4 – 13-5 |1 |HSA.APR.A.1 |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on section 13-4 to 13-5 |

|13-6 Multiplying a Polynomial by a Monomial |3 |HSA.APR.A.1 |Day 1 |

|To use an area model for multiplication | | |Warm-up: PVMS Warm-up Packet |

|To write a polynomial as the product of a | | |Lesson: Revisit properties of exponents. Apply to multiplying |

|monomial and a polynomial | | |polynomials by a monomial. |

| | | |HW: Supplemental Worksheet |

| | | |Closing: What is the difference between multiplying and adding? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Practice |

| | | |HW: Supplemental Worksheet |

| | | |Closing: What changes are made when multiplying vs. the changes made|

| | | |when adding? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Practice |

| | | |HW: Supplemental Worksheet |

| | | |Closing: What changes are made when multiplying vs. the changes made|

| | | |when adding? |

|13-7 Multiplying Binomials |3 |HSA.APR.A.1 |Day 1 |

|To use models in multiplying binomials | | |Warm-up: PVMS Warm-up Packet |

|To multiply two binomials | | |Lesson: Introduce FOIL method |

| | | |HW: Supplemental Worksheet |

| | | |Closing: Why does the FOIL method work? |

| | | |Day 2 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Introduce FOIL method |

| | | |HW: Supplemental Worksheet |

| | | |Closing: Why does the FOIL method work? |

| | | |Day 3 |

| | | |Warm-up: PVMS Warm-up Packet |

| | | |Lesson: Introduce FOIL method |

| | | |HW: Supplemental Worksheet |

| | | |Closing: Why does the FOIL method work? |

|Quiz on Sections 13-6 – 13-7 |1 |HSA.APR.A.1 |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Quiz on sections 13-6 to 13-7 |

|*Review for Chapter 13 |1 |HSA.APR.A.1 |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Review Practice test |

| | | |HW: Study for test |

|*TEST Chapter 13 |1 |HSA.APR.A.1 |Warm-up: PVMS Warm-up Packet |

|Student assessment | | |Lesson: Chapter 13 test |

| | | |HW: Chapter 13 Cumulative review |

TOTAL DAYS: 15 (Day 151)

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