Even beyond academic excellence, it is the attitude of the Harlem Academy students which impresses me each time I meet them: they are curious of everything, open to the world, and happy to learn.

”# Math

Students develop a thorough understanding of mathematical concepts and facility with a toolkit of robust problem solving strategies. Content is presented using the Math in Focus Singapore math program, a rigorous and challenging curriculum that teaches fewer topics in greater depth compared with typical math programs. Courses help students develop confidence, master techniques, and employ reasoning skills to solve real-world mathematical problems.

Topics encompass all the Common Core math strands: Ratios & Proportional Reasoning, The Number System, Expressions and Equations, Geometry, Statistics & Probability, and Functions. New material is introduced in both concrete and pictorial settings, followed by an examination of corresponding formulas to synthesize observations into meaningful mathematics.

To differentiate instruction, students who demonstrate strong mathematical foundations cover advanced topics in pull-out “math lab” sessions and will complete a full algebra I curriculum. Additionally, all students use Khan Academy’s individualized online program to work at their own pace during a weekly independent math block.

In **fifth grage**, students explore number notation and place values, multiplication and division, approximation and estimation, and the order of operations. Students learn to convert fractions and decimals and to add, subtract, multiply, and divide them in real-world situations. Geometry begins with an exploration of angles and the properties of different geometric shapes. Students also work on foundational concepts for ratios, rates, percentages, and algebraic expressions.

In **sixth grade**, students begin by exploring positive and negative integers on the number line, including prime numbers and introductory number theory. Students develop nuanced skills to work with challenging word problems, connecting fractions, ratio, rates and percents. Students learn to simplify algebraic expressions, solve one-step algebraic equations through balancing, and graph linear equations on the coordinate plane. Students continue their study of geometry with a deeper exploration of two-dimensional shapes and three-dimensional solids, including the area and circumference of a circle as well as composite geometric figures. The geometry curriculum uses one-step equations to reinforce the algebraic foundation built earlier. Students end the year with a comprehensive statistics unit, covering methods of data collection and the measures of central tendency.

In **seventh grade**, students begin with a though study of all real numbers, classifying rational and irrational numbers before an in-depth exploration of operations with positive and negative rational numbers. Algebraic expressions and multi-step equations are explored in depth, including distance and coin word problems and algebraic inequalities. The ratio-based reasoning built in previous years is connected to direct and inverse proportions and the corresponding graphs. Students work on an advanced statistics and probability unit, including mean absolute deviation, interpreting quartiles, and developing probability models before ending the year with angle properties and geometric construction. In addition, there is a 12-week financial education unit, taught by a former actuary, introducing students to the foundations of personal finance.

In **eighth grade**, students learn all exponent operation properties and how to calculate with scientific notation. Students then delve into a deep study of linear equations, finding the number of solutions of an equation, graphing on the coordinate plane, and solving systems of linear equations. Students learn to identify linear and nonlinear functions, introducing the quadratic function, quadratic formula, and graphing the parabola. Students will learn to factor quadratic equations and find real and imaginary solutions to quadratic equations. Lastly, students will end the year by examining the Pythagorean Theorem and connecting all the concepts from the year in an intensive word problem review.** **