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Academy: Kindergarten through 8th Grades
Preschool: 18 months  4 years
Mathematics
Kindergarten
Texts: Singapore Math K
Topics:

Sort, compare & classify objects

Recognize & continue patterns

Count by 1’s, 2’s, 5’s, & 10’s

Write numbers 1 through 30

Understand the meaning of addition and subtraction

Use place value models to 100

Interpret graphs

Identify coins and count with them

Add & subtract to ten with concrete objects

Compare and measure with nonstandard units

Tell time to the hour

Identify & compare basic shapes and 3dimensional objects

Solve problems with numeric equations
1st Grade
Texts: Singapore Math level 1 books 1A & 1B(Abeka Math)
Topics:

Place value, and number bonds

Mental math using base 10 (10 frames)

Math applications such as time, money, temperature, weight, measurement, graphs

Addition and subtraction of single digit and double digit numbers

Working through story problem solving

Read and interpret graphing data
2nd Grade
Texts: Singapore Math 2
Topics:

Identify place value to the thousands place

Know & use symbols <, >, =

Add & subtract up to three digits

Multiplication & division

Mental Math Strategies

Fractions

Solve problems using coins & dollars

Telling time

Measure length, weight, & capacity of objects

Solve word problems

Geometry

Graphs
3rd Grade
Texts: Singapore Math 3
Topics:

Place Value Models

Addition & Subtraction

Division, multiplication

Addends & factors

Fractions, mixed numbers

Greater than, Less than, Equals

Algebraic equations

Story Problems

Mental Math Strategies

Measures, temperatures.

Time and Money

Geometry, Perimeter and Area

Reading Graphs
4th Grade
Texts: Singapore Math 4
Topics:

Measures, temperatures

Division, multiplication

Addends & factors

Fractions, mixed numbers

Equations

Averaging

Reduction

Operations with same denominators

Regrouping

Problems with parenthesis
5th Grade
Texts: California Mathematics
Topics:

Measures

Whole number operations

Fractions

Decimals

Mental arithmetic

Timed Mastery/Speed Drills

Mixed number operations.

Algebraic Equations

Graphs

Problem solving

Introduction to Geometry
6th Grade
Texts: California Mathematics
Topics:

To simplify expressions containing parentheses

To add, subtract, multiply, and divide integers (positive and negative)

Ratios

To work with exponents

Geometric formulas

Square roots

Percents

Fractions

Decimals

Mixed numbers

Sales tax and discounts

Simple interest
7th Grade
Texts: PreAlgebra California Edition
Topics:

Extensive operations involving integers, fractions, algebraic expressions and equations

Word problems

Slope intercept operations including extensive graphing

Solving linear equations

Solving and graphing of inequalities

Sine, cosine and tangent

Line of best fit models

Transformations (including translations, reflections and rotations) and the graphing thereof
(All subjects are taught using manual calculations and procedures first and then if appropriate, TI 83 procedures are taught)
8th Grade
Texts: Prentice Hall Classics  Algebra
Topics:

Extensive operations involving integers, fractions, algebraic expressions and equations

Word problems

Lowest common multiple and greatest common factor involving variables

Slope intercept , graphing and calculating linear equations

Operations that involve solving and graphing inequalities.

Operations involving quadratics, including multiplication and division of binomials the quadratic formula, factoring trinomials

Graphic quadratic equations including calculation of axis of symmetry and the vertex

Extensive operations involving radicals, functions of right triangles (sine, cosine and tangent)

Extensive training in solving complex word problems

Linear regressions and line of best fit
(All subjects are taught using manual calculations and procedures first and then if appropriate, TI 83 procedures are taught)