ࡱ> EHBCD_ @bjbj .bb**8$EDDDDDDD$F\IrDDD)))D)D))R7>?j+?kDD0EI?fII<?I?)DDeEI* J:  Review Sections # of Days to Complete Standard(s) Assignment1-5 Adding Integers 1-6 Subtracting Integers 1-9 Multiplying and Dividing Integers To use rules to add integers To use rules to subtract integers To use multiply integers To use rules divide integers1Math Skills PracticeDay 1 Warm-up: PVMS Warm-up Packet Lesson: Review adding, subtracting, multiplying and dividing integer rules HW: Review worksheet Closing: How can you use integers to describe the depth of a submarine?1-2 The Order of Operations To use the order of operations To use grouping symbols1Math Skills PracticeWarm-up: PVMS Warm-up Packet Lesson: Review the order of operations HW: Practice 1-2 Closing: Why do we need to agree on an order of operations in mathematics?1-3 Writing and Evaluating Expressions To evaluate variable expressions To solve problems by evaluating expressions1Math Skills PracticeDay 1 Warm-up: PVMS Warm-up Packet 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 To substitute into formulas To use the formula for perimeter of a rectangle2Math Skills PracticeWarm-up: PVMS Warm-up Packet Lesson: Review substituting into formulas using the PSSA 8th grade 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 Concepts1Warm-up: PVMS Warm-up Packet Lesson: Test on Review Sections TOTAL DAYS 6 (Day 6) Solving One-Step Equations# of Days to CompleteStandard(s)Assignment2-4 Variables and Expressions16.EE.2Warm-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 Subtracting To solve one-step equations using subtraction or addition18.EE.7Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define inverse operations; model the steps needed to solve 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 Dividing To solve one-step equations using division or multiplication18.EE.7Day 1 Warm-up: PVMS Warm-up Packet Lesson: Discuss the division and multiplication properties of 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on section 2-5 to 2-63-5 Solving Equations by Adding or Subtracting Decimals To solve one-step decimal equations using addition and subtraction0.58.EE.7Warm-up: PVMS Warm-up Packet Lesson: Model the steps needed to solve a decimal equation involving addition or 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 Dividing Decimals To solve one-step decimal equations involving multiplication and division0.58.EE.7Warm-up: PVMS Warm-up Packet Lesson: Model the steps needed to solve a decimal equation involving multiplication or 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 Fractions To solve equations by adding or subtracting fractions0.58.EE.7Warm-up: PVMS Warm-up Packet Lesson: Model the steps needed to solve and equation involving addition or subtraction 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 To solve equations by multiplying fractions or mixed numbers0.58.EE.7Warm-up: PVMS Warm-up Packet Lesson: Model the algorithm to solve an equation by dividing both 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review practice test HW: Study for test*TEST Chapter 2/3/5 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Test Chapter 2/3 HW: Chapter 3 Cumulative review TOTAL DAYS 8 (Day 14) Chapter 7 Solving Equations and Inequalities # of Days to Complete Standard(s) Assignment7-1 Solving Two-Step Equations To solve two-step equations To use two-step equations to solve problems28.EE.7Day 1 Warm-up: PVMS Warm-up Packet 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 7-17-2 Solving Multi-Step Equations To combine like terms to simplify an equation To use the Distributive property to simplify an equation58.EE.7Day 1 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? Day 2 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 Decimals To solve multi-step equations with fractions To solve multi-step equations with decimals28.EE.7Day 1 Warm-up: PVMS Warm-up Packet 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 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 To write an equation to solve a problem28.EE.7Day 1 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 7-47-5 Solving Equations With Variables on Both Sides To solve equations with variables on both sides To use equations with variables on both sides28.EE.7Day 1 Warm-up: PVMS Warm-up Packet Lesson: Model the procedure to solve an equation with variables on 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 Equations18.EE.7Warm-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-1Quiz on Sections 7-1 7-5 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: quiz on sections 7-1 to 7-5 HW: page 764 #1-212-9 Solving One-Step Inequalities by Adding and Subtracting1CC.2.2.HS.D.7Warm-up: PVMS Warm-up Packet 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 Multiplying and Dividing1CC.2.2.HS.D.7Warm-up: PVMS Warm-up Packet 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 Inequalities2CC.2.2.HS.D.7Warm-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 operationsQuiz on Sections 2-9, 2-10, 7-6 Student assessment1*Review Chapter 7 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review practice test HW: Study for test*TEST Chapter 7 Student assessment1Lesson: Test Chapter 7 HW: Chapter 7 Cumulative review TOTAL DAYS 22 (Day 36) Chapter 4 Factors, Fractions, and Exponents # of Days to Complete Standard(s) AssignmentExponents and Multiplication To multiply powers with the same base To find the power of a power38.EE.1Day 1 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 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 To find equivalent fractions To put fractions in simplest form28.EE.1Day 1 Warm-up: PVMS Warm-up Packet 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 To divide expressions containing exponents To simplify expressions with integer exponents38.EE.1Day 1 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 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 OutQuiz on Sections 4-4, 4-7, 4-815-9 Powers of Products and Quotients To find powers of products and quotients3A-SSE.3Day 1 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 To write and evaluate numbers in scientific notation To calculate with scientific notation38.EE.3 8.EE.4Day 1 Warm-up: PVMS Warm-up Packet 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 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: WorksheetQuiz on Sections 5-9 and 4-9 Student assessment1*Review for chapter 4/5 test Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review practice test HW: Study for test*TEST Chapter 4/5 Student assessment1Lesson: Chapter 4 test HW: chapter 4 Cumulative review TOTAL DAYS 18 (Day 54) Chapter 8 Linear Functions and Graphing# of Days to Complete Standard(s) AssignmentSLO Pre-Test18.F.1 8.F.2 8.F.4 8.EE.6 8.F.5 8.SP.1 8.SP.2 8.SP.3 8.SP.4 8.EE.8Warm-up: PVMS Warm-up Packet Lesson: SLO Pre-Test1-10 The Coordinate Plane To name coordinates and quadrants in the coordinate plane To graph points in the coordinate plane16.NS.6 6.NS.8Warm-up: PVMS Warm-up Packet Lesson: Draw and label the coordinate plane; Model graphing a point on 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 To determine whether a relation is a function To graph relations and functions 28.F.1 8.F.2Day 1 Warm-up: PVMS Warm-up Packet 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 To find solutions of equations with two variables To graph linear equations with two variables38.F.4Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define a solution; find ordered pairs that are solutions for 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 8-28-3 Slope and y-intercept To find the slope of a line To use slope-intercept form in graphing a linear equation38.EE.6 8.F.3 8.F.4Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define slope of a line; use the slope formula to find the 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 worksheetCC-4 Slope and Similar Triangles18.EE.6Warm-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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections 8-1 to 8-3 HW: CC-2 Comparing Functions28.F.2Day 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 WorksheetCC-3 Describing Functions28.F.5Day 1 Warm-Up: PVMS Warm-up Packet Lesson: Analyze graphs of functions. Discuss what different types of graphs show. Vertical lines possible? HYPERLINK "../AppData/Local/Microsoft/Windows/Temporary Internet Files/Content.IE5/53MV0VHZ/www.graphingstories.com"www.graphingstories.com 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-38-4 Writing Rules for Linear Functions To write a function rule for a word relationship To write a function rule by analyzing a table or graph28.F.1Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define function notation and function rule; write a function rule for real world problems 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections CC-2 to 8-4*Review Chapter 8-1 8-4 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review practice test HW: Study for test*TEST Chapter 8-A Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Test Chapter 8-ACC-5 Graphing Proportional Relationships18.EE.5Warm-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-58-5 Scatter Plots To interpret and draw scatter plots To use scatter plots to find trends using correlation18.SP.1Warm-up: PVMS Warm-up Packet Lesson: Define a scatter plot; make a scatter plot from a set of data; use a scatter plot to determine trends HW: Practice 8-5 Closing: How can you use scatter plots to find positive and negative correlations?CC-6 Exploring Bivariate Data18.SP.1Warm-up: PVMS Warm-up Packet Define Bivariate Data and develop real-life examples. Linear vs. Non-linear. Class Activity on CC-6 HW: CC-6CC-14 Relative Frequency18.SP.4Warm-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 Lines18.SP.2 8.SP.3Warm-up: PVMS Warm-up Packet Positive vs. Negative trends. Trend lines. Class Activity on CC-7 HW: CC-78-6 Solve by Graphing To solve problems by graphing 18.SP.1Warm-up: PVMS Warm-up Packet 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections CC-5 to CC-148-7 Solving Systems of Linear Equations To solve systems of linear equations by graphing To use systems of linear equations to solve problems28.EE.8Day 1 Warm-up: PVMS Warm-up Packet Lesson: Describe a system of equations and discuss its solution; HW: Reteaching 8-7 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 solutionsCC-8 Solving Systems of Equations48.EE.8Day 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: Worksheet8-8 Graphing Linear Inequalities To graph linear inequalities To graph systems of linear inequalities2A-REI.12Day 1 Warm-up: PVMS Warm-up Packet 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections CC-7 to 8-8*Review Chapter 8 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review practice test HW: Study for testSLO Post-Test18.F.1 8.F.2 8.F.4 8.EE.6 8.F.5 8.SP.1 8.SP.2 8.SP.3 8.SP.4 8.EE.8Warm-up: PVMS Warm-up Packet Lesson: SLO Post-Test*TEST Chapter 8 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Test Chapter 8 HW: Chapter 8 Cumulative review TOTAL DAYS 40 (Day 94) Chapter 9 Spatial Thinking # of Days to Complete Standard(s) Assignment9-2 Angle Relationships and Parallel Lines To identify adjacent and vertical angles To relate angles formed by parallel lines and a transversal28.G.5Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define adjacent, vertical and congruent angles; discuss 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 transversal9-3 Classifying Polygons To classify triangles To classify quadrilaterals18.G.5Warm-up: PVMS Warm-up Packet Lesson: Define a polygon; list classifications of triangles and quadrilaterals HW: Practice 9-3 Closing: What is a polygon? List 5 types of quadrilaterals.9-5 Congruence To identify corresponding parts of congruent triangles To determine whether triangles are congruent28.G.2Day 1 Warm-up: PVMS Warm-up Packet Lesson: Define congruent figures; discuss corresponding parts of 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections 9-1 to 9-5 HW: page 518 #14-249-8 Translations To graph translations To describe translations18.G.1 8.G.2 8.G.3Warm-up: PVMS Warm-up Packet Lesson: Define a transformation, translation and image; model how to 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 To identify a line of symmetry To graph a reflection of a geometric figure18.G.1 8.G.2 8.G.3Warm-up: PVMS Warm-up Packet Lesson: Discuss reflectional symmetry and a line of symmetry; model 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 To graph rotations To identify rotational symmetry18.G.1 8.G.2 8.G.3Warm-up: PVMS Warm-up Packet Lesson: Define a rotation; discuss the center of rotation and the angle of rotation; identify rotational symmetry HW: Practice 9-10 Closing: Explain how to recognize rotational symmetryCC-9 Transformations and Congruency18.G.1 8.G.2 Warm-up: PVMS Warm-up Packet Review three types of translations Translations produce congruent figures. Class activity on CC-9 HW: CC-9CC-10 Transformations and Similarity18.G.4 8.G.5Warm-up: PVMS Warm-up Packet Discuss dilations. Dilations produce similar figures. Combine translations and dilations. Class activity on CC-10 HW: CC-10Quiz on Sections 9-6 9-10 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections 9-6 to 9-10 HW: page 519 #25-34*Review for Chapter 9 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review Practice test HW: Study for test*TEST Chapter 9 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Chapter 9 test HW: Chapter 9 Cumulative review TOTAL DAYS: 14 (Day 108) Chapter 10 Area and Volume # of Days to Complete Standard(s) Assignment10-7 Volume of Prisms and Cylinders To find the volume of prisms To find the volume of cylinders28.G.9Day 1 Warm-up: PVMS Warm-up Packet 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 To find volumes of pyramids and cones To find volumes of spheres28.G.9Day 1 Warm-up: PVMS Warm-up Packet 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections 10-7 and 10-9 TOTAL DAYS: 5 (Day 113) Chapter 11 Right Triangles in Algebra# of Days to Complete Standard(s) Assignment11-1 Square Roots and Irrational Numbers To find square roots of numbers To classify real numbers18.NS.2 8.EE.2Warm-up: PVMS Warm-up Packet Lesson: Define a square root and a perfect square; simplify square roots Define an irrational number; classify real numbers HW: Practice 11-1 Closing: What is the most famous irrational number?CC-11 Cube Roots18.EE.2Warm-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-1111-2 The Pythagorean Theorem To use the Pythagorean theorem To identify right triangles28.EE.2 8.G.6 8.G.7Day 1 Warm-up: PVMS Warm-up Packet 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 Theorem18.G.6Warm-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: 1-611-3 Distance and Midpoint Formulas To find the distance between two point To find the midpoint of a segment28.G.8Day 1 Warm-up: PVMS Warm-up Packet 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 11-3Quiz on Sections 11-1 11-3 Student Assessment 1 Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections 11-1 to 11-3 HW: page 628 #23-38CC-13 Using the Pythagorean Theorem with Three-Dimensional Figures18.G.7Warm-up: PVMS Warm-up Packet Solve only the length of a diagonal of a rectangular prism problems. Practice. HW: CC-13: 4-611-4 Write a Proportion To write a proportion from similar triangles18.EE.5 8.EE.6 8.F.4Warm-up: PVMS Warm-up Packet Lesson: Use proportions to solve similar triangle problems HW: Practice 11-4 Closing: How can you measure a distance indirectly using similar triangles?11-5 Special Right Triangles To use the relationships in 45-45-90 triangles To use the relationships in 30-60-90 triangles28.G.7Day 1 Warm-up: PVMS Warm-up Packet Lesson: Discuss the relationships in a 45-45-90 triangle as it relates to the Pythagorean theorem 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 Functions38.F.3Day 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 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Quiz on sections CC13 to 13-2*Review for Chapter 11/13 Student assessment1Warm-up: PVMS Warm-up Packet Lesson: Review Practice test HW: Study for test*TEST Chapter 11/13 Student assessment1Warm-up: PVMS Warm-up Packet 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 Nonlinear Functions and Polynomials# of Days to Complete Standard(s) Assignment13-4 Polynomials To identify polynomials To evaluate polynomials 2HSA.APR.A.1Day 1 Warm-up: PVMS Warm-up Packet 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 To identify the degree of a polynomial To add polynomials To subtract polynomials3HSA.APR.A.1Day 1 Warm-up: PVMS Warm-up Packet Lesson: Revisit combining like terms with variable degrees 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 Student assessment1HSA.APR.A.1Warm-up: PVMS Warm-up Packet Lesson: Quiz on section 13-4 to 13-513-6 Multiplying a Polynomial by a Monomial To use an area model for multiplication To write a polynomial as the product of a monomial and a polynomial 3HSA.APR.A.1Day 1 Warm-up: PVMS Warm-up Packet Lesson: Revisit properties of exponents. Apply to multiplying 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 To use models in multiplying binomials To multiply two binomials 3HSA.APR.A.1Day 1 Warm-up: PVMS Warm-up Packet 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? 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