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Grades 9 - 12 Essential Elements Pacing Guide - Mathematics Ninth September Tenth Eleventh Focus: Assessing Prior Knowledge Focus: Assessing Prior Knowledge Focus: Assessing Prior Knowledge Focus: Number and Quantity- The Real Number System EEN-RN.1. Determine the value of a quantity that is squared or cubed * Review previous year content Review previous year content Focus: Review previous year content Focus: Statistics and ProbabilityInterpreting Categorical and Quantitative Data Focus: Number and Quantity- Quantities EEN-Q.1-3. Express quantities to the appropriate precision of measurement Focus: Number and Quantity EEN-CN.2.a Use the commutative, associative, and distributive properties to add, subtract, and multiply whole numbers * October EEN-CN.2.b Solve real-world problems involving addition and subtraction of decimals, using models when needed * EES-ID.1-2. Given data, construct a simple graph (line, pie, bar, or picture) and interpret the data * EE.N-CN.2.c Solve real-world problems involving multiplication of decimals and whole numbers, using models when needed Wayne RESA • 33500 Van Born Road • Wayne, MI 48184 • (734) 334–1300 • (734) 334–1630 fax • www.resa.net Board of Education • James S. Beri • Kenneth E. Berlinn • Mary E. Blackmon • Lynda S. Jackson • James Petrie Christopher A. Wigent, Superintendent Grades 9 - 12 Essential Elements Pacing Guide - Mathematics Ninth Focus: Number and Quantity- The Complex Number System November Focus: Algebra- Seeing Structure in Equations EEA-SSE.1. Match an algebraic expression involving one operation to represent a given word expression with an illustration Focus: Algebra- Seeing Structure in Equations EEA-SSE.3. Solve simple algebraic equations with one variable using multiplication and division * December EEA-SSE.4. Determine the successive term in a geometric sequence given the common ratio * Tenth Focus: Geometry- Congruence EEG-CO.1. Know the attributes of perpendicular lines, parallel lines, and line segments, angles, and circles Focus: Geometry- Congruence EEG-CO.4-5 Given a geometric figure and a rotation, reflection, or translation of that figure, identify the components of the two figures that are congruent * Eleventh Focus: Statistics and ProbabilityInterpreting Categorical and Quantitative Data EES-ID.3. Interpret general trends on a graph or chart * Focus: Statistics and ProbabilityInterpreting Categorical and Quantitative Data EES-ID.4. Calculate the mean of a given data set (limit data points to less than five) Wayne RESA • 33500 Van Born Road • Wayne, MI 48184 • (734) 334–1300 • (734) 334–1630 fax • www.resa.net Board of Education • James S. Beri • Kenneth E. Berlinn • Mary E. Blackmon • Lynda S. Jackson • James Petrie Christopher A. Wigent, Superintendent Grades 9 - 12 Essential Elements Pacing Guide - Mathematics Ninth January Tenth Focus: Algebra- Creating Equations Focus: Geometry- Congruence EEA-CED.1. Create an equation involving one operation with one variable, and use it to solve a realworld problem * EEG-CO.6-8. Identify corresponding congruent (the same) parts of shape EEA-CED.2-4. Solve one-step inequalities Focus: Algebra- Reasoning with Equations and Inequalities February EEA-REI.10-12. Interpret the meaning of a point on the graph of a line. For example, on a graph of pizza purchases, trace the graph to a point and tell the number of pizzas purchased and the total cost of the pizzas. * Eleventh Focus: Statistics and ProbabilityMaking Inferences and Justifying Conclusions EES-IC.1-2. Determine the likelihood of an event occurring when the outcomes are equally likely to occur Focus: Geometry- Expressing Geometric Properties with Equations Focus: Statistics and ProbabilityConditional Probability and the Rules of Probability EEG-GPE.7. Find perimeter and area of squares and rectangles to solve real-world problems EES-CP.1-4. Identify when events are independent or dependent Wayne RESA • 33500 Van Born Road • Wayne, MI 48184 • (734) 334–1300 • (734) 334–1630 fax • www.resa.net Board of Education • James S. Beri • Kenneth E. Berlinn • Mary E. Blackmon • Lynda S. Jackson • James Petrie Christopher A. Wigent, Superintendent Grades 9 - 12 Essential Elements Pacing Guide - Mathematics Ninth Focus: Functions- Interpreting Functions March EEF-IF.1-3. Use the concept of function to solve problems EEF-IF.4-6. Construct graphs that represent linear functions with different rates of change and interpret which is faster/slower, higher/lower, etc. * Focus: Functions- Building Functions April EEF-BF.1. Select the appropriate graphical representation (first quadrant)given a situation involving constant rate of change Tenth Focus: Geometry- Geometric Measurement and Dimension EEG-GMD.1-3. Make a prediction about the volume of a container, the area of a figure, and the perimeter of a figure, and then test the prediction using formulas or models * Focus: Geometry- Geometric Measurement and Dimension EEG-GMD.4. Identify the shapes of two-dimensional cross-sections of threedimensional objects * Eleventh Focus: Applied Mathematics in realworld (e.g., banking, money management, percentages (coupons)) Focus: Applied Mathematics in realworld (e.g., banking, money management, percentages (coupons)) EEF-BF.2. Determine an arithmetic sequence with whole numbers when provided a recursive rule * Wayne RESA • 33500 Van Born Road • Wayne, MI 48184 • (734) 334–1300 • (734) 334–1630 fax • www.resa.net Board of Education • James S. Beri • Kenneth E. Berlinn • Mary E. Blackmon • Lynda S. Jackson • James Petrie Christopher A. Wigent, Superintendent Grades 9 - 12 Essential Elements Pacing Guide - Mathematics Ninth May June Tenth Eleventh Focus: Linear, Quadratic, and Exponential Models Focus: Geometry- Modeling with Geometry Focus: Applied Mathematics in realworld (e.g., banking, money management, percentages (coupons)) EEF-LE.1. Model a simple linear function such as y = mx to show functions grow by equal factors over equal intervals EEG-MG.1-3. Use properties of geometric shapes to describe real-life objects Focus: Review Focus: Review Focus: Review End of the year assessment End of the year assessment End of the year assessment Note: This pacing guide is meant to be used as a tool to help plan instruction which meets the Common Core Standards. Please adapt and differentiate as needed to individual student needs. * Represents Essential Elements restated or revised by DLM in 2013. Some materials may include former language. Wayne RESA • 33500 Van Born Road • Wayne, MI 48184 • (734) 334–1300 • (734) 334–1630 fax • www.resa.net Board of Education • James S. Beri • Kenneth E. Berlinn • Mary E. Blackmon • Lynda S. Jackson • James Petrie Christopher A. Wigent, Superintendent