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Week Dates Topics Standards January 4-8, 2016 Selected Q1 and Q2 topics (focus on Equations and Expressions Domain) (See test blue print for emphasis) Grade 7 Math SY1516– Quarter 3 Planning Guide 1 Review, Revisit and Reteach 3 Jan 11–Feb 5, 2016 Equations and Inequalities 7.EE.3 7.EE.4 5 Angles Circles 7 2-D & 3-D Shapes Feb 8-Mar 10 9 10 Assessments Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. Digits Topics 1-7 Administer Q3 PreTest anytime during this week Represent simple algebraic equations of the form px + q = r and solve multi-step mathematical and real-world problems with positive and negative rational numbers Write simple algebraic inequality in the form px + q > r and px + q < r Digits Topic 8 Digits Topic 9 Surface Area Volume 7.G.5 7.G.4 7.G.6 • I can compute actual lengths of geometric figures • I can solve problems involving scale drawings of geometric figures • State relationships between complementary, supplementary, vertical and adjacent angles • Use facts about angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure • Solve simple equations for an unknown angle in a figure • Solve problems using formulas of area and circumference of a circle • Solve mathematical and real-world problems area of shapes, volume and surface area of right prisms and pyramids Common Assessment Quiz 5 (Part 2) in Achievement Series (10 items MC) by Feb. 5, 2016 (Topics also included in Q3 Test in Achievement Series) Solve and graph solutions of inequalities (two-step and multi-step) using addition, subtraction, multiplication and division 6 8 Resources Write and solve two-step equations using distributive property 2 4 I Can Statements Digits Topics 10-13 Common Assessment Quiz 6 and 7 in Achievement Series (10 items MC) by March 4, 2016 (Topics also included in Q3 Test in Achievement Series) Week 1 Dates Topics January 4-8, 2016 Selected Q1 and Q2 topics (focus on Equations and Expressions Domain) Grade 8 Math SY1516– Quarter 3 Planning Guide Review, Revisit and Reteach Standards 2 3 4 Jan 11–Feb 5, 2016 5 Review Defining and Comparing Functions (I Can Statements in italics) 8.F.1 8.F.2 8.F.3 8.F.4 Linear Functions 6 Reasoning and Proof 7 8 Feb 8-Mar 10 Using the Pythagorean Theorem 9 Surface Area and Volume 10 8.G.1 8.G.2 8.G.3 8.G.4 8.G.5 8.G.7 8.G.8 8.G.9 Assessments Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. Digits Topics 1-6 Administer Q3 Pre-Test anytime during this week Digits Topic 7 Digits Topic 8 Interpret y=mx +b as a linear function whose graph is a straight line Determine the rate of change and initial Similarity Resources Distinguish between functions and nonfunction using equations, graphs and tables Give examples of linear and non-linear functions Recognize when a function is increasing or decreasing on a given interval Sketch a graph to model a given verbal situation Describe a situation given a graph of a function. Congruence I Can Statements value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph Translate, reflect and rotate geometric shapes in a coordinate plane Describe a sequence of transformations that exhibits the congruency between two figures Describe the effect of dilations on twodimensional figures using coordinate Use exploration and deductive reasoning to determine relationships that exists between interior and exterior sums of triangles Apply the Pythagorean Theorem find unknown side lengths of a right triangle Solve mathematical problems applying formulas for surface area and volume of cylinders and cones Common Assessment Quiz 4 (Part 2) in Achievement Series (10 items MC) by Feb. 5, 2016 (Topics also included in Q3 Test in Achievement Series) Digits Topics 9-13 Common Assessment Quiz 5 and 6 in Achievement Series (10 items MC) by March 4, 2016 (Topics also included in Q3 Test in Achievement Series) Week 1 Dates Topics Jan 4-8, 2016 Review, Revisit and Reteach Selected Q1 and Q2 topics Standards Resources Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. Assessments Administer Q3 PreTest anytime during this week I can apply properties of exponents to simplify expressions. 2 Algebra 1 SY1516– Quarter 3 Planning Guide I Can Statements 3 Exponents and Exponential Functions Jan 11-29, 2016 4 (Please refer to I Can Statement spreadsheet for details) I can identify and give representations of exponential functions. RN.A.2 LE.A.2 LE.A.1.C I can recognize exponential growth or decay from a given situation. I can recognize real-world situations representing exponential functions. Pearson Algebra 1 Chapter 7 Common Assessment Quiz #5 in Achievement Series (10 MC items) by January 29, 2016 Pearson Algebra 1 Chapter 8 Common Assessment Quiz #6 in Achievement Series (10 MC items) February 19, 2016 Pearson Algebra 1 Chapter 9 Term 3 Test will cover all topics covered in Q3 (16 MC items) I can differentiate an exponential function from other types of functions. 5 6 Feb 1-19, 2016 Polynomials and Factoring APR.A.1 SSE.A.2 SSE.B.3a I can add and subtract polynomials. I can multiply polynomials using different methods. I can factor quadratic trinomials. I can simplify expression using polynomial operations. I can factor difference of two squares or expressions of the same structure. I can factor quadratic trinomials. I can find zeros of a polynomial function by factoring. 7 8 9 10 Feb 22-Mar 10, 2016 Quadratic Functions and Equations IF.C.7a BF.B.3 REI.B.4B I can graph a quadratic function. I can find and interpret the x and y-intercepts, maximum and minimum values from the graph of a quadratic function (parabola). I can identify the value of k given a translated parabola. I can describe the effect of changing the value of parameters h and k on graphs of quadratic functions. I can solve (find solution of) a quadratic equation by factoring or using the quadratic formula. I can find the x-intercepts of a quadratic equation. I can find area of a polygon whose sides are polynomials. I can solve real-world problems involving quadratic functions. Week Dates January 4-8, 2016 1 Review, Revisit and Reteach Topics Standards Algebra 2 SY1516– Quarter 3 Planning Guide 3 4 Jan 11–Feb 10, 2016 Exponential and Logarithmic Functions CED.A.1 IF.B.4 IF.B.6 IF.C.7e IF.C.9 LE.A.1c LE.A.4 REI.D.11 6 7 Feb 16-26, 2016 Rational Functions APR.D.6 BF.A.1 8 9 10 Feb 29-Mar 10, 2015 Sequences and Series Resources LE.A.2 Model exponential growth and decay. Sketch graphs of functions of the form y=abx and describe its key features. Apply properties of the functions of the form y=abx. Compare the rate of change of two graphs (exponential functions). Graph exponential and logarithmic functions (finding asymptotes) Differentiate between linear and exponential functions. Identify types of functions (exponential) and describe key features (intercepts, growth rates, average rate of change, and end behaviors). Recognize situations describing growth and decay. Use properties of logarithms to simply expressions. Solve exponential and logarithmic equations. Evaluate and simplify natural logarithmic functions. Find the solution (coordinates of the intersection) of f(x) = g(x). Recognize and use inverse, joint and other variations. Identify properties of rational functions. Graph reciprocal and rational functions. Rewrite rational expressions (add, subtract, multiply, divide). Solve rational equations. Find the nth term of a sequence. Find the recursive rule that describes a sequence. Find the equation of the nth term of a sequence. Solve real-world applications involving sequences and series. Assessments Administer Q3 Pre-Test anytime during this week Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. Selected Q1 and Q2 topics 2 5 I Can Statements Pearson Algebra 2 Chapter 7 Pearson Algebra 2 Chapter 8 Common Assessment Quiz 5 in Achievement Series (10 items MC) by Feb. 10, 2016 (Topics also included in Q3 Test in Achievement Series) Common Assessment Quiz 6 in Achievement Series (10 items MC) by Feb. 10, 2016 (Topics also included in Q3 Test in Achievement Series) Pearson Algebra 2 Chapter 9 Quarter 3 Test Week Dates Topics Standards Jan 4-8, 2016 Geometry SY1516– Quarter 3 Planning Guide 1 Review, Revisit and Reteach Jan 11-29, 2016 Selected Q1 and Q2 topics Similarity SRT.A.2 SRT.A.3 SRT.B.4 SRT.B.5 4 5 6 Feb 1-19, 2016 Right Triangles and Trigonometry SRT.C.6 SRT.C.7 SRT.C.8 7 8 9 10 Feb 22-Mar 10, 2016 Transformations Resources G.CO.A.3 G.CO.A.5 Write ratios and proportion Identify and apply similar polygons Use the Angle-Angle Similarity Postulate and the SAS and SSS Theorem Find and use relationship in similar right triangles Use the Pythagorean Theorem and its converse. Apply the properties of special right triangles. Find side lengths and angles measures of a right triangle using trigonometric ratios. Solve real-world problems using angle of elevation and depression. Draw and identify translation, reflection and rotation images of figures. Classify and find composition of isometrics, including glide reflections. Identify congruence transformations. Identify and perform dilations of figure images. Identify similarity transformations and verify properties of similarity. Assessments Administer Q3 Pre-Test anytime during this week Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. 2 3 I Can Statements Pearson Geometry Chapter 7 Common Assessment Quiz 5 in Achievement Series (10 items MC) by Jan. 30, 2016 (Topics also included in Q3 Test in Achievement Series) Pearson Geometry Chapter 8 Pearson Geometry Chapter 9 Common Assessment Quiz 6 in Achievement Series (10 items MC) by Feb. 19, 2016 (Topics also included in Q3 Test in Achievement Series) Quarter 3 Test Week Dates Topics Standards Pre-Calculus SY1516– Quarter 3 Planning Guide Jan 4-8, 2016 1 Review, Revisit and Reteach Resources Selected Q1 and Q2 topics Assessments Administer Q3 Pre-Test anytime during this week Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. Verify the trigonometric identities. 2 3 I Can Statements Jan 11-29, 2016 Trigonometric Equations and Identities TF.B.7 TF.B.8 Rewrite and evaluate trigonometric formulas. Pre-Calculus by Blitzer 5e Chapter 5 Chapter 5 Test Pre-Calculus by Blitzer 5e Chapter 6 Chapter 6 Test Solve trigonometric equations and inverses of trigonometric equations. 4 5 6 7 8 9 10 Feb 1-Mar 10, 2016 Additional Topics in Trigonometry SRT.D.10 SRT.D.11 CN.B.4 N.VM.B.4 N.CN.B.4 Solve oblique triangles using the Law of Sines and Law of Cosines. Write the component forms of vectors. Perform operations on vectors. Plot points in polar coordinate system. Convert a point/equation from rectangular to polar and vice versa. Plot numbers in the complex plane and find its absolute value. Convert complex numbers from polar to rectangular and vice versa. Perform operations of complex numbers in polar form. Perform operations with vectors and find the direction angles of vectors. Week Dates Topics Standards College Algebra SY1516– Quarter 3 Planning Guide Review, Revisit and Reteach Resources Selected Q1 and Q2 topics Assessments Administer Q3 Pre-Test anytime during this week Using student data from Q1 and Q2, review, revisit and reteach concepts that students still need help on. January 4-8, 2016 1 I Can Statements 2 3 Solve systems of equations in two variables. Solve systems of equations in three variables. 4 5 Jan 11–Feb 19, 2016 Systems of Equations and Inequalities REI.C.8 REI.C.7 Interpret solutions to a system of equations. Solve systems of nonlinear equations in two variables. College Algebra by Blitzer 3e Chapter 5 Chapter 5 Test College Algebra by Blitzer 3e Chapter 6 Chapter 6 Test Solve system of inequalities and interpret the solution to the system. 6 7 8 9 10 Feb 22-Mar 10, 2016 Matrices and Determinants REI.C.9 N.VM.C.7 N.VM.C.8 N.VM.C.11 N.VM.C.12 Perform matrix row operations. Add and subtract matrices Perform operations on matrices. Find inverse of a matrix. Use inverse to solve matrix equations. Model applied situations with matrix operations. Use Cramer’s Rule to solve systems of equations in three variables.