Queens Paideia’s uses Singapore Math, one of the most comprehensive and proven math curricula available, as a primary resource, and supplements it with manipulatives, math-based games, online programs, economic transactions, and accounting scenarios. Our total math program helps students develop an early and firm fluency in basic computational and problem-solving skills. Students learn to apply geometric concepts in spatial reasoning; concepts of probability in areas like decision making, prediction, sampling, uncertainty, interpretation of data, and statistical reasoning; and problem-solving strategies that require logical and algebraic reasoning skills, algorithms, and heuristics.
Our approach to mathematics education gives our students the practical tools they need to enhance their thinking and problem-solving skills, and to make sense of their world.
Stage 1 takes students from foundational numeracy to early development of the areas listed below, always with much support and guidance. Besides building their number skills through counting, ordering, and performing addition and subtraction operations up to 100, students practice interpreting, modeling, and verbally explaining their reasoning in simple mathematical applications, such as one- and two-step word problems involving whole numbers up to 100.
Where a student starts within Stage 1 depends on his/her preexisting skills upon entering QPS. We continuously evaluate our students to gauge their current capabilities and the most effective ways to address them.
In Stage 2 students work toward fluency in interpreting place value and applying the basic arithmetic operations to whole numbers up to 10,000. They learn to represent and perform the basic operations on simple fractions, calculate area and perimeter for simple shapes, and explain in greater detail their reasoning in solving two-step word problems.
Where a student starts within Stage 2 depends on his/her preexisting skills upon entering QPS. We continuously evaluate our students to gauge their current capabilities and the most effective ways to address them.
In Stage 3, students learn to express fractions, decimals, and percentages interchangeably. They perform arithmetic operations with rational numbers, demonstrate graphic representation of numeric concepts, and solve multi-step word problems involving ratios, proportions, rates, and percentages. They build geometry skills by finding angles through direct measurement and calculation of complimentary and supplementary angles and by using simple algebraic expressions to represent the formulae for finding the area and volume of complex shapes and solids.
Where a student starts within Stage 3 depends on his/her preexisting skills upon entering QPS. We continuously evaluate our students to gauge their current capabilities and the most effective ways to address them.
By the time students are in Stage 4, they are ready to advance their study of the number system. They learn the relationships between prime and composite numbers; rational and irrational numbers; prime factorization, exponents and roots; negative numbers; more advanced ways to model and numerically represent relationships described in word problems; and to use algebraic expressions to solve for unknown quantities. They also learn to use probability and statistics to predict outcomes, and basic techniques of analytic geometry for linear and quadratic functions.
Alongside their greater independence in approaching higher-level math, Students in Stage 4 review and become further grounded and fluent in the areas listed in Stage 3.
Where a student starts within Stage 4 depends on his/her preexisting skills upon entering QPS. We continuously evaluate our students to gauge their current capabilities and the most effective ways to address them.
QPS’s secondary mathematics curriculum presents mathematics as a formal discipline as well as a tool for making decisions and solving problems. The curriculum reflects and follows the New York State Board of Regents’ PARCC policies and guidance: Algebra I, Geometry, Algebra II (includes probability, statistical inference, analytic geometry, logarithms, and exponentials), Pre-Calculus, and Calculus. It exceeds most high school math programs in the following ways:
Progress through Queens Paideia’s mathematics curriculum is achievement driven, and assessment is continuous.