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The overall goal of math education at Friends School is
to develop mathematically literate students. We believe that:
- Students should come to understand that math
is used in everyday situations and is a useful tool
to solve real problems.
- Conceptual understanding is vitally
important.
- Students will be encouraged to use multiple strategies
to solve problems and will share their strategies with
one another.
- Mathematics is often a group process. Students will have
frequent opportunities to work together to solve
problems cooperatively.
- Students will learn to communicate mathematical ideas,
both orally and in writing.
- In addition to a regular focus
on math itself, math should be integrated into other subject
areas.
- Arithmetic is just one of a number of strands that
make up mathematics.
- Our study of math should be broad
enough to focus on all the strands included in the NCTM
standards.
Our math curriculum
reflects the school’s progressive
philosophy and Quaker traditions. We believe that children
should be actively engaged in their learning to build knowledge.
Lessons are structured to facilitate the sharing of ideas
through group work and class discussion, and activities are
designed to get students to think critically and creatively
about mathematical topics. Students are encouraged to come
up with their own unique way of solving problems, and are
given time to actively explore their ideas using manipulatives,
models and other tools. Also, just as we actively encourage
students to ask questions about topics in social studies
or science, we teach math in a way that encourages and rewards
them for asking questions.
K–4
Three continuous math strands are taught throughout
the lower school program: Algebraic Thinking: Patterns, Relations,
and Functions • Data Analysis: Statistics and Probability • Geometry
and Measurement
K
Count, recognize, write, order and compare numbers • Strategies
for estimating quantities • Number relationships • Addition
and subtraction exploration
1 & 2
Whole numbers to 500 • Place value • Addition
and subtraction • Number fact proficiency • Algorithms • Simple
fractions • Beginning multiplication and division • Equations
and story problems
3 & 4
Multiplication and division • Number relationships • Intro
to fractions • Money • Estimation • Odd,
even, prime and composite numbers • Fraction equivalencies • Two-digit
multiplication and division • Proficiency with addition,
subtraction, multiplication, division facts
5
Predictions • Area, volume and capacity • Equivalence
and fractions • Angles and polygons • Tessellations • Probability
and statistics • Sampling • Coordinate graphing • Integers • Exponents • Estimation • Mental
math • Fraction addition and subtraction • Problem
solving
6
Patterns and sequences • Lines, angles and triangles • Estimation,
mental math and calculators • Polygons and line symmetry • Improper
fractions and mixed numbers • Decimal addition and
subtraction • Metric measurement • Fractions
and percents • Bar graphs and line plots • Mean,
median and mode • Factors and divisibility • Fraction
multiplication and division • Decimal multiplication
and division • Mixed number addition and subtraction • Dividing
fractions • Ratios, rates and proportions • Problem
solving
7
Sequences and exponents • Integers and coordinate
graphing • Functions • Variable
equations • Factors, divisibility and multiples • Operation
with integers, fractions and decimals • Bar graphs
and line plots • Two-step variable equations • Square
roots • Circle graphs • Probability • Problem
solving • Scientific notation • Metric conversions • Transformations
and symmetry • Ratios and proportions • Permutations
and combinations
Pre-Algebra
Pre-Exponential change • Parabolas • Functions • Multi-step
equations • Solving inequalities • Problem solving • Ratios,
rates and proportions • Plots and lines of best fit • Circumference,
volume, surface area and area • Variable equations • Negative
fractions • Square roots • Graphing equations
and inequalities • Slope • Scientific notation • Rational
and irrational numbers • Pythagorean theorem • Angle
relationships • Tangent ratio • Permutations
and combinations Algebra
Using algebra to work with data • Equations
and functions • Graphing
linear equations • Solving equations and inequalities • Connecting
algebra and geometry • Working with radicals • Systems
of fractions and inequalities • Quadratic functions • Exponential
functions • Polynomial functions • Rational functions • Discrete
mathematics
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list
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