At Renton High School we teach all levels of math using Complex Instruction. This allows students to come together and share their math strengths and understanding as the make their way through new math concepts. Having students rely on one another, first, for their math knowledge deepens their understanding of the learning targets because as they work to find the ways to explain to one another what they know, t hey solidify their learning at the same time. Instruction comes through dialogue, exploration, and problem-solving. When looking at the IB Learner Profile, it becomes quickly apparent that there are many connections between our CI math instruction and how IB values student learning. CI relies heavily on risk-taking when students work through the various tasks. They know that the material may be unfamiliar to them and are ready to forge through it together. They have to be open to new ideas, try new strategies and not be afraid to share what they think they know. CI also asks students to be inquirers, demonstrate that they are knowledgeable and are thinkers. The tasks they are asked to undertake encourage them to ask questions and actively seek answers. They are to be engaged and excited in their learning, showing ownership over their thoughts and beliefs. They are expected to explore concepts that are new to them and use what they know to expand their understanding. They are also expected to make informed decisions and share them with their classmates. As students work to communicate their learning during CI tasks, they are also challenged to work with integrity. They are to share ideas, but not steal them. They must acknowledge where their ideas come from, when they are not their own. At the same time students may be asked to share ideas in many forms, through presentation, posters, small group and whole group discussion, and even personally reflect on concepts and their individual understanding. The IB Learner Profile is clearly intertwined with the philosophies of Complex Instruction and math learning here at RHS. Algebra 3-4 CURRICULUM MAP 2013-2014 CONTENT SEPTEMBER OCTOBER Quadratics Linearity Quadratics SKILLS Constructing diamond, using lab gear to construct rectangles, factoring and solving quadratic equation, using a GDC to graph, multiply binomials using generic rectangle or FOIL Solving inequalities with pencil and with GDC; solving absolute equations; using fraction busters to simplify equations and solve Using multiple representations to find key features of equations and/or graphs in standard, ASSESSMENT Individual quizzes Poster Unit Test Individual quizzes Unit Test Participation Quiz intercept, and vertex form Complete the square NOVEMBER DECEMBER JANUARY FEBRUARY Quadratics Transformations of nonlinear functions Exponentials Inverses Using the quadratic formula to find roots (zeros) of a function Complex numbers Simplify radicals Rationalize the denominator Participation Quiz Using transformations to find the key features of cubic, absolute value, and square root functions, identify the general shape of the graph, find the domain and range, and then graph (by hand and with GDC) Individual quizzes Knowing and using the rules of exponents Add, subtract, multiply, divide polynomials Factoring and solving polynomial equations Individual quizzes Finding key features for cubics, exponential, and rational functions including intercepts, domain, range, asymptotes, and then graphing Nth roots and properties of rational exponents Solving radical equations Power equations and expressions Exponential growth & decay Individual quizzes Individual quizzes Group Test Unit Test Participation Quiz Exit Slips Unit Test Participation Quiz Exit Slips Unit Test MARCH Logarithms Using the definition and Individual quizzes properties of logarithms, number Exit Slips e, solving and graphing logarithmic Unit Test functions APRIL Rational Equations Simplify rational expressions & complex fractions; solve equations with rational expressions Individual quizzes Systems of Equations Solve systems of linear equations In 2 variables algebraically & graphically Individual quizzes Piecewise Functions Graph combination of equations on single graph with restricted domains Individual quiz MAY Probability & Statistics JUNE Calculate and use probabilities; use binomial and normal distributions; finding series and sequences and writing rules; knowing the difference between geometric and arithmetic series; Use summation notation Unit Test Unit Test Individual quizzes Unit Test