## Curriculum Detail

**Math Curriculum**

**Mathematics**

Math is the study of patterns categorized as computation, algebraic thinking, geometry, statistics, measurement, graphing, and functions.

Each grade revisits previously taught concepts to deepen learning and to strengthen connections to new concepts. Listed below are the **newly introduced concepts at each level**.

*Early Childhood* uses language to explore counting, correspondence, comparison, and patterns.

**ELC**

* Basic shapes (circle, square, triangle, and rectangular)

* Counting to 31 (calendar days)

* Recognizing numbers 1 - 5

* Comparing sizes and colors

**Nursery**

* Recognizing numbers 1 - 10

* 1:1 correspondence

* Making simple patterns

* Sorting by size and color

* Date by month, day, year

**Pre-Kindergarten**

* Recognizing numbers 1 - 20

* Concept of addition

* Concept of time

* Complete calendar

* Concept of place value

**Kindergarten**

* Counting and recognizing numbers to 100

* Skip counting by 10’s

* Number formation from 0-30

* Single-digit addition and subtraction

* Ordinals to the 10th

* Money value (1, 5, 10, 25 cents)

* Comparing groups (< and > 20)

* Telling time to the hour

* Compare length, height, weight, and capacity

* Sorting by shape, color, size, and count

* Introduction to graphing (picture graphs, bar graphs and tallying)

*Elementary School* relies on the use of manipulative sets, a variety of problem solving strategies, and an explanation of student thinking that

deepens learning.

**Grade 1**

* Word problems and problem-solving strategies

* Two-digit addition and subtraction

* Relating addition and subtraction

* Concept of variables

* Skip counting by 2’s, 5’s, 10’s, 100’s

* Non-standard units of measure

* Tell time to half hour

* 3-dimensional shapes

* Concept of fractions

* Create composite shapes

* Organize, use, and read graphs (tally, table, picture and bar graphs)

**Grade 2**

* Two-step word problems

* Introduce properties of addition and subtraction

* 3-digit addition and subtraction (regrouping)

* Writing numbers to 1,000

* Properties of even and odd numbers

* Money (dollar and making change)

* Time to five-minute interval

* Reading a schedule

* Customary and metric units of measurement

* Parts of a shape (side, angle, face, edge, vertex)

* Identify and draw 1/2’s, 1'/3’s, and 1/4’s

**Grade 3**

* Multi-step word problems

* Rounding and estimating sums and differences

* Create and use graphs and line plots

* Simple multiplication and division

* Properties of multiplication (distributive property)

* Perimeter and area on graph paper

* Measure and estimate length, volume, and mass

* Time to the minute

* Identify and describe polygons

* Finding the missing side

* Order fractions (on a number line)

**Grade 4**

* Understanding place value to the 1,000,000’s

* Multi-step problem solving with all four operations

* Division with remainders

* Inverse and identity properties

* Estimating to check for reasonableness

* Using formulas for area and perimeter

* Draw and classify lines and types of polygons

* Recognize and draw reflective symmetry

* Equivalent fractions

* Comparing fractions with different denominators

* Representing, ordering, and simple operations with decimals

Concepts taught in *Middle School* are more abstract. Students are still encouraged to use manipulative sets and visualizations, and they become familiar with symbols, variables, graphs, and other forms of representation.

**Grade 5**

* Variables and expressions

* Problem solving with order of operations, decimals, and fractions

* Representing and graphing with absolute value

* Dividing with 2-digit divisors

* Rounding and operations with decimals

* Operations with fractions and mixed numbers

* Relating multiplication, division, and fractions

* Introduction to Cartesian Coordinate System

* Ordered pairs and line graphs

* Converting units of measure

* Perimeter, area, and volume of composite shapes

**Grade 6**

* Number systems (integers, rational numbers)

* Using factors and multiples

* Representing ratios and rates

* Applying ratios, rates, and percent

* Modeling with algebraic expressions and equations

* Solving 1- and 2-step equations

* Solving and graphing inequalities

* Distance and area on a coordinate plane

* Independent and dependent variables

* Surface area

* Measures and plots of central tendency

**Grade 7**

* Irrational numbers

* Representing numbers with scientific notation

* Operations with integers

* Proportional relationships

* Representing linear functions

* Solving multi-step equations

* Circumference and area of a circle

* Cross sections of prisms and pyramids

* Congruence and similarity

* Creating scaled drawings

* Simple probability

**Grade 8**

* Evaluating and operations with exponents

* Operations with scientific notation

* Simplifying and factoring polynomials

* Solving and graphing systems of equations

* Solving quadratic equations

* Solving rational equations

* Graphing non-linear functions

* Pythagorean Theorem

* Transformations on a coordinate plane

* Radicals (square and cube root)

* Estimating and operations with irrational numbers