Academic Life
 Math Department Introduction
 6th and 7th Grade - Math in Focus Course 1 and 2Math in Focus is the U.S edition of the Singapore's top-ranking math program. It follows the pedagogical framework that includes emphasizing concept mastery, a concrete-to-pictorial-to-abstract approach, metacognitive reasoning, and the use of model drawing to solve and justify problems. Math in Focus is a mastery program aligned with the Common Core State Standards (CCSS) that blends the following notions to promote student success:•   A focused and coherent syllabus: Math in Focus introduces fewer topics in each grade, but teaches them to greater depth. Topics are taught to mastery, so they build from year to year across grade levels without repetition.•   A visual and balanced approach: Math in Focus is highly visual, following a concrete-to-pictorial-to-abstract progression.•   A focus on numbers and operations: Math in Focus is sequenced in a way that ensures students develop and maintain strong number sense.•   An emphasis on problem solving using model-drawing: Math in Focus utilizes model-drawing strategies that help students solve both routine and non-routine problems.•   A recognition of the importance of attitudes and metacognition: The Math in Focus framework emphasizes the importance of attitude and the ability to self-monitor while problem solving to achieve success in math. It provides students with the tools they need to break down complex concepts and problems, which in turn develops positive attitudes.The content for course 1 includes (6th grade)Positive Numbers and Number Line, Negative Numbers and the Number Line, Multiplying and Dividing Fractions and Decimals, Ratio, Rates, Percent, Algebraic Expressions, Equations and Inequalities, The coordinate Plane, Area of Polygons, Circumference and Area of a Circle, Surface Area and Volume of Solids, Introduction to Statistics, and Measures of Central Tendency.The content for course 2 includes(7th grade)The Real Number System, Rational Number Operations, Algebraic Expressions, Algebraic Equations and Inequalities, Direct and Inverse Proportion, Angle Properties and Straight Lines, Geometric Construction, Volume and Surface Area of Solids, Statistics, and Probability.8th Grade - Algebra 1Course DescriptionThis is a first year algebra course in which you will learn to reason symbolically. The key content involves writing, solving, and graphing linear and quadratic equations, including systems of two linear equations in two unknowns. Quadratic equations are solved by factoring, completing the square, graphically, or by application of the quadratic formula. The course also includes study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion. Algebraic skills are applied in a wide variety of problem-solving situations.Course Academic GoalsIn this course, you will know and be able to:1. Interpret the meaning of variables and variable expressions2. Solve linear equations (including proportions) in one variable3. Apply the concept of absolute value to simple equations4. Graph a linear function by plotting points, using intercepts, and using the slope and    y- intercept5. Sketch the region defined by a linear inequality6. Derive the equation of a line when given a variety of parameters for that line7. Solve inequalities in one variable (including those with absolute value)8. Solve systems of linear equations by graphing, using substitution, and using elimination9. Solve systems of linear inequalities by graphing10. Solve quadratic equations by graphing, finding square roots, using the quadratic      formula, and   factoring11. Simplify and perform arithmetic operations on and with rational expressions12.  Solve rational equations13.  Solve application problems using the above techniques9th Grade - GeometryCourse DescriptionCourse Description:  This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions.  It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed.  It also emphasizes writing proofs to solve (prove) properties of geometric figures.  Students who complete Geometry should take Algebra II next.Course Learning GoalsThe goals for mathematics are to enable students to:1.  Develop a positive attitude toward the continued learning of mathematics2.  Appreciate the usefulness, power and beauty of mathematics, and recognize its relationship with other disciplines and with everyday life3.  Appreciate the international dimensions of mathematics and its varied cultural and historical perspectives4.  Gain knowledge and develop understanding of mathematical concepts5.  Develop mathematical skills and apply them6.  Develop the ability to communicate mathematics with appropriate symbols and language7.  Develop the ability to reflect upon and evaluate the significance of their work and the work of others8.  Develop patience and persistence when solving problems9.  Develop and apply information and communication technology skills in the study of mathematics.
 MHS Math Learning Outcomes
 Grade 61.Students will apply bar modelling methodologies to organize key information and solve word problems.2.Students will explore basic geometric shapes/figures and their respective properties.3.Students will develop a deeper understanding of computing with fractions, percentages, and ratios.Grade 71.Students will write, solve, and graph basic algebraic equations and develop arithmetical skills2.Students will explore, construct, and apply geometric properties to their respective shape and/or solid.3.Students will collect, analyze, and interpret real-world measurements using statistics and probability.Grade 81.Students will learn to solve, graph, and write linear equations, systems, inequalities, and quadratic equations.2.Students will collect real-world data/measurements and apply mathematical concepts to hypothetical and real situations.Grade 91.Students will use and apply the tools of geometry to model and solve real-world and hypothetical problems.2.Students will apply postulates, corollaries, and key concepts to reason and prove theorems in multiple formats.3.Students will construct advanced geometric shapes and figures based on their respective properties.
BEIJING SMIC PRIVATE SCHOOL - ENGLISH TRACK
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