SylvanMathPrep ILO Alignments
Table of Contents SAM Integrated... SAM Ontario.... 6 SAM Western Atlantic... 8 SAM...... 10 SME.... 14 Sylvan Algebra 2..... 19 Sylvan Geometry..... 21 Sylvan ILO / SylvanMathPrep Alignments Page 2
SAM Integrated / SylvanMathPrep Sylvan ILO PreCA- 1 PreCA- 2 IN- CA- 1 IN- CA- 2 IN- CA- 3 IN- CA- 4 IN- CA- 5 IN- CA- 6 IN- CA- 7 IN- CA- 8 IN- CA- 9 IN- CA- 10 IN- CA- 11 IN- CA- 12 IN- CA- 13 IN- CA- 14 IN- PreLEI1-1 IN- PreLEI1-2 IN- PreLEI1-3 IN- LEI1-1 IN- LEI1-2 IN- LEI1-3 SMP Lesson Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Multiplying Fractions Dividing Fractions Dividing Mixed Numbers Evaluation Writing and Solving Equations Order of Operations Distributive Property Combining Like Terms Distributive / Like Terms Addition Properties Adding and Subtracting Unlike Fractions Addition and Subtraction Multiplication Properties Multiplication Multiplication and Division Two- Step Equations Opposites and Absolute Value Comparing Integers Determining if a Number is Rational or Irrational Introduction to Ratios Unit Rate Order of Operations Evaluating Expressions Modeling Expressions Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive Solving and Graphing Inequalities Beginning Formulas Advanced Formulas Sylvan ILO / SylvanMathPrep Alignments Page 3
IN- LEI1-4 IN- LEI1-5 IN- LEI1-6 IN- LEI1-7 IN- LEI1-8 IN- PreLF- 1 IN- LF- 1 IN- LF- 2 IN- LF- 3 IN- PrePOL- 1 IN- PrePOL- 2 IN- POL- 1 IN- POL- 2 IN- POL- 3 IN- POL- 4 IN- POL- 5 IN- POL- 6 IN- PreQEF- 1 IN- PreQEF- 2 IN- QEF- 1 IN- QEF- 2 IN- QEF- 3 IN- DA- 1 IN- DA- 2 IN- DA- 3 IN- DA- 4 IN- PreCF- 1 IN- PreCF- 2 IN- PreCF- 3 IN- CF- 1 One- Step Equations Introduction to Ratios Equal Ratios Advanced Patterns Evaluating Expressions Using Graphs and Slope- Intercept Form Using the Graph of a Line to Find Slope Using Coordinates to Find Slope Greatest Common Factor Combining Like Terms The Product Rule The Power Rule The Quotient Rule Combining Exponent Rules F.O.I.L. Advanced Problems Special Trinomials with Positive Constant Special Trinomials with Negative Constant Coefficient on x2 Term, Positive Constant Coefficient on x2 Term, Negative Constant F.O.I.L. Difference of Two Squares Exponents Graphs of Quadratic Functions and Beginning Transformations Graphs of Quadratic Functions and Advanced Transformations Graphing Quadratic Functions Function and Arrow Notation Beginning Equations Beginning Quadratic Formula Mean Box- and- Whisker Plots Two- Step Equations Equations with Fractions Sylvan ILO / SylvanMathPrep Alignments Page 4
IN- CF- 2 IN- CF- 3 IN- CF- 4 IN- CF- 5 IN- CF- 6 IN- CF- 7 IN- CF- 8 IN- CF- 9 IN- CF- 10 IN- CF- 11 IN- CF- 12 IN- PreRRS- 1 IN- PreRRS- 2 IN- RRS- 1 IN- RRS- 2 IN- RRS- 3 IN- RRS- 4 IN- RRS- 5 IN- INTRO- 1 IN- INTRO- 2 IN- INTRO- 3 IN- INTRO- 4 IN- INTRO- 5 IN- INTRO- 6 IN- INTRO- 7 IN- INTRO- 8 IN- PreGSOL- 1 IN- GSOL- 1 IN- GSOL- 2 IN- GSOL- 3 Area of Triangles Area of Squares and Rectangles Area of Parallelograms and Trapezoids Scatterplots and Trends Domain and Range Recognizing and Evaluating Functions Graphing Lines Definition of a Function Absolute Value Equations Angle- Angle Similarity Postulate Sine, Cosine, and Tangent (Part II) Advanced Patterns Vocabulary Converse of the Pythagorean Theorem Conditional Statements Simple Probability Area of Triangles Area of Parallelograms and Trapezoids Sylvan ILO / SylvanMathPrep Alignments Page 5
SAM Ontario / SylvanMathPrep Sylvan ILO PreCA- 1 PreCA- 2 ON- CA- 1 ON- CA- 2 ON- CA- 3 ON- CA- 4 ON- CA- 5 ON- CA- 6 ON- CA- 7 ON- CA- 8 ON- CA- 9 ON- CA- 10 ON- PreLF- 1 ON- LF- 1 ON- LF- 2 ON- LF- 3 ON- LF- 4 ON- LF- 5 ON- LF- 6 ON- LF- 7 ON- LF- 8 ON- LF- 9 ON- LF- 10 ON- LF- 11 ON- LF- 12 SMP Lesson Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Multiplying Fractions Dividing Fractions Dividing Mixed Numbers Writing and Solving Equations Domain and Range Recognizing and Evaluating Functions Opposites and Absolute Value Comparing Integers Addition Properties Adding and Subtracting Unlike Fractions Addition and Subtraction Multiplication Properties Multiplication Multiplication and Division Distributive Property Combining Like Terms Distributive / Like Terms Introduction to Ratios Equal Ratios Determining if a Number is Rational or Irrational Definition of a Function Function and Arrow Notation Using the Graph of a Line to Find Slope Using Coordinates to Find Slope Using Graphs and Slope- Intercept Form The Point- Slope Formula Parallel and Perpendicular Scatterplots and Trends Sylvan ILO / SylvanMathPrep Alignments Page 6
ON- PrePOL- 1 ON- PrePOL- 2 ON- POL- 1 ON- POL- 2 ON- POL- 3 ON- POL- 4 ON- POL- 5 ON- POL- 6 ON- POL- 7 ON- PreGSOL- 1 ON- PreGSOL- 2 ON- GSOL- 1 ON- GSOL- 2 ON- GSOL- 3 ON- GSOL- 4 ON- GSOL- 5 ON- PreGEO- 1 ON- PreGEO- 2 ON- GEO- 1 ON- GEO- 2 ON- GEO- 3 ON- GEO- 4 ON- GEO- 5 ON- GEO- 6 ON- GEO- 7 Greatest Common Factor Combining Like Terms The Product Rule The Power Rule The Quotient Rule Combining Exponent Rules Two- Step Equations Distributive / Like Terms F.O.I.L. Advanced Problems Special Trinomials with Positive Constant Special Trinomials with Negative Constant Coefficient on x2 Term, Positive Constant Coefficient on x2 Term, Negative Constant Area of Triangles Area of Parallelograms and Trapezoids Nets Spheres The Coordinate Grid Given Lines are Parallel Vocabulary Sum of Interior and Exterior Angles Regular Polygons Sylvan ILO / SylvanMathPrep Alignments Page 7
SAM Western Atlantic / SylvanMathPrep Sylvan ILO PreCA- 1 PreCA- 2 WA- CA- 1 WA- CA- 2 WA- CA- 3 WA- CA- 4 WA- CA- 5 WA- CA- 6 WA- CA- 7 WA- CA- 8 WA- CA- 9 WA- CA- 10 WA- PreLEI1-1 WA- PreLEI1-2 WA- PreLEI1-3 WA- LEI1-1 WA- LEI1-2 WA- LEI1-3 WA- LEI1-4 WA- LEI1-5 WA- LEI1-6 WA- LEI1-7 WA- PrePOL- 1 SMP Lesson Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Multiplying Fractions Dividing Fractions Dividing Mixed Numbers Evaluation Writing and Solving Equations Addition Properties Adding and Subtracting Unlike Fractions Multiplication Properties Multiplication Multiplication and Division Distributive Property Combining Like Terms Distributive / Like Terms Determining if a Number is Rational or Irrational Introduction to Ratios Unit Rate Order of Operations Evaluating Expressions Modeling Expressions One- Step Equations Two- Step Equations Equations with Fractions Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive Introduction to Ratios Equal Ratios Solving and Graphing Inequalities Scatterplots and Trends Greatest Common Factor Sylvan ILO / SylvanMathPrep Alignments Page 8
WA- PrePOL- 2 WA- POL- 1 WA- POL- 2 WA- POL- 3 WA- POL- 4 WA- POL- 5 WA- POL- 6 WA- POL- 7 WA- PrePRB- 1 WA- PrePRB- 2 WA- PRB- 1 WA- PRB- 2 WA- PreGSOL- 1 WA- PreGSOL- 2 WA- GSOL- 1 WA- GSOL- 2 WA- GSOL- 3 WA- PreTRQU- 1 WA- TRQU- 1 WA- TRQU- 2 WA- TRQU- 3 WA- TRQU- 4 WA- TRQU- 5 WA- PreTSIM- 1 WA- TSIM- 1 WA- TSIM- 2 WA- TSIM- 3 WA- TSIM- 4 Combining Like Terms The Product Rule The Power Rule The Quotient Rule Combining Exponent Rules Two- Step Equations Distributive / Like Terms F.O.I.L. Advanced Problems Mean Tree Diagrams and the Counting Principle Simple Probability Probability of Independent Events Area of Triangles Area of Parallelograms and Trapezoids Nets The Coordinate Grid Angles of a Triangle Sides of a Triangle Congruent Figures Proving Triangles are Congruent by SSS, SAS, and ASA Sine, Cosine, and Tangent (Part II) Pythagorean Theorem Properties of Similar Polygons Angle- Angle Similarity Postulate Angle- Angle Similarity Postulate Sylvan ILO / SylvanMathPrep Alignments Page 9
SAM / SylvanMathPrep Alignment Chart Sylvan ILO PreCA- 1 PreCA- 2 CA- 1 CA- 2 CA- 3 CA- 4 CA- 5 CA- 6 CA- 7 CA- 8 CA- 9 CA- 10 CA- 11 CA- 12 CA- 13 CA- 14 PreLEI1-1 PreLEI1-2 PreLEI1-3 LEI1-1 LEI1-2 LEI1-3 LEI1-4 SMP Lesson Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Multiplying Fractions Dividing Fractions Evaluation Order of Operations Writing and Solving Equations Domain and Range Recognizing and Evaluating Functions Comparing Integers Opposites and Absolute Value Addition Properties Adding and Subtracting Unlike Fractions Addition and Subtraction Multiplication Properties Multiplication Distributive Property Combining Like Terms Distributive / Like Terms Determining if a Number is Rational or Irrational Introduction to Ratios Unit Rate Order of Operations Evaluating Expressions Modeling Expressions One- Step Equations Two- Step Equations Equations with Fractions Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive Beginning Formulas Sylvan ILO / SylvanMathPrep Alignments Page 10
LEI1-5 LEI1-6 LEI1-7 LEI1-8 LEI1-9 PreLF1-1 LF- 1 LF- 2 LF- 3 LF- 4 LF- 5 LF- 6 LF- 7 LF- 8 LF- 9 LF- 10 LF- 11 LF- 12 LF- 13 LF- 14 LF- 15 PreLS1-1 PreLS1-2 LS1-1 LS1-2 LS1-3 LS1-4 LS1-5 LS1-6 PrePOL- 1 PrePOL- 2 POL- 1 POL- 2 POL- 3 POL- 4 POL- 5 Advanced Formulas Introduction to Ratios Equal Ratios Solving and Graphing Inequalities Combined Inequalities Advanced Inequality Problems Absolute Value Equations Advanced Patterns Graphing Lines Definition of a Function Function and Arrow Notation Using the Graph of a Line to Find Slope Using Coordinates to Find Slope Using Graphs and Slope- Intercept Form Using Graphs and Slope- Intercept Form The Point- Slope Formula Parallel and Perpendicular Scatterplots and Trends Line Graphs Line Graphs By Substitution By Addition Greatest Common Factor Combining Like Terms The Product Rule The Power Rule The Quotient Rule Combining Exponent Rules Two- Step Equations Distributive / Like Terms Sylvan ILO / SylvanMathPrep Alignments Page 11
POL- 6 POL- 7 POL- 8 POL- 9 POL- 10 PreQEF- 1 PreQEF- 2 QEF- 1 QEF- 2 QEF- 3 QEF- 4 QEF- 5 QEF- 6 QEF- 7 QEF- 8 QEF- 9 RAD- 1 RAD- 2 RAD- 3 RAD- 4 RAD- 5 RAD- 6 PreRAT- 1 PreRAT- 2 PreRAT- 3 PreRAT- 4 RAT- 1 RAT- 2 RAT- 3 RAT- 4 RAT- 5 DA- 1 DA- 2 DA- 3 F.O.I.L. Advanced Problems F.O.I.L. Difference of Two Squares Special Trinomials with Positive Constant Exponents Graphs of Quadratic Functions and Beginning Transformations Graphs of Quadratic Functions and Advanced Transformations Function and Arrow Notation Beginning Equations Beginning Completing The Square Beginning Quadratic Formula Simplifying Radicals Dividing Radicals Adding and Subtracting Square Roots Multiplying Radicals Addition and FOILing Beginning Equations Advanced Equations Pythagorean Theorem Converting Decimals to Fractions Determining if a Number is Rational or Irrational Lowest Terms Evaluating Expressions Comparing Integers Comparing Proper Fractions Addition and Subtraction Multiplication and Division Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding Rational Expressions Beginning Rational Equations Sylvan ILO / SylvanMathPrep Alignments Page 12
DA- 4 DA- 5 DA- 6 PrePRB- 1 PrePRB- 2 PRB- 1 PRB- 2 PRB- 3 PRB- 4 Mean Box- and- Whisker Plots Mean Tree Diagrams and the Counting Principle Simple Probability Experimental Probability Probability of Independent Events Sylvan ILO / SylvanMathPrep Alignments Page 13
SME / SylvanMathPrep Alignment Chart Sylvan ILO 6N1 6N2 6N3 6N4 6M/D1 6M/D2 6F1 6F2 6F3 6F4 6F5 6D1 6D2 6D3 6D4 6D5 6D6 6D7 6IN1 6IN2 6IN3 6IN4 6IN5 6IN6 6IN7 6IN8 6IN9 6IN10 6AR1 6AR2 6AR3 6AR4 6AR5 6M1 6M1C SMP Lesson Factors and Primes Prime Factorization Greatest Common Factor Multiplication Division Multiplying Mixed Numbers Dividing Fractions Dividing Mixed Numbers Comparing Decimals Converting Decimals to Fractions Rounding Decimals Adding Decimals Multiplying Decimals by Decimals Dividing Decimals by Whole Numbers Dividing Decimals by Decimals Terminating and Repeating Decimals Graphing and Writing Integers Graphing and Writing Integers Comparing Integers Opposites and Absolute Value Addition Addition Addition Subtraction Subtraction Subtraction Exponents Order of Operations Addition Equations Subtraction Equations Modeling Expressions The Coordinate Grid Area of Squares and Rectangles Sylvan ILO / SylvanMathPrep Alignments Page 14
6M2 6M2C 6GE1 6GE2 6GE3 6GE4 6GE5 6GE6 6APV1 6APV2 6APV3 6APV4 6APV5 6APV6 6APV7 6APV8 6GR1 6GR2 6RPP1 6RPP2 6RPP3 6RPP4 6RPP5 6RPP6 6PR1 6PR2 6PR3 6PS1 6PS2 6PS3 6PS4 6PS5 7N1 7N2 7N3 7N4 7F1 7D1 Area of Squares and Rectangles Measuring Angles Complementary and Supplementary Angles Circumference Perimeter Area of Parallelograms and Trapezoids Area of Triangles Surface Area Line Graphs Circle Graphs Introduction to Proportion Solving Proportions Word Problems Fractions and Percents Converting Fractions to Decimals Fractions and Percents Percent of a Number Tree Diagrams and the Counting Principle Stem- and- Leaf Plots and Frequency Tables Solving Proportions Word Problems Discount Exponents Dividing Mixed Numbers Converting Fractions to Decimals Sylvan ILO / SylvanMathPrep Alignments Page 15
7D2 7IN1 7IN2 7IN3 7IN4 7IN5 7IN6 7AR1 7AR2 7AR3 7AR4 7AR5 7AR6 7AR7 7GE1 7GE2 7GE3 7GE4 7GE5 7GE6 7GE7 7GE8 7GE9 7GE10 7GE11 7GE12 7APV1 7APV2 7APV3 7APV4 7RPP1 7RPP2 7RPP3 Dividing Decimals by Decimals Word Problems Multiplication Multiplication Division Division Addition Properties Multiplication Properties Addition Subtraction Division Evaluating Expressions Combining Like Terms Evaluating Expressions Modeling Expressions Multiplication Equations Division Equations Order of Operations Variables Polygons Translations Rotations Reflections Congruent Figures Similar Figures Problem Solving with Similar Figures Problem Solving with Similar Figures Angles of a Triangle Area of Parallelograms and Trapezoids Area of a Circle Volume of Cylinders, Spheres, and Cones Solving Proportions Fractions and Percents Decimals and Percents Percent One Number is of Another Sylvan ILO / SylvanMathPrep Alignments Page 16
7RPP4 7PR1 7PR2 7PR3 7PR4 7PS1 7PS2 7PS3 7PS4 7PS5 7PS6 7PS7 8N1 8N2 8F1 8F2 8F3 8D1 8D2 8D3 8D4 8D5 8AR1 8AR2 8AR3 8AR4 8AR5 8AR6 8AR7 8AR8 8AR9 8AR10 8AR11 8AR12 8AR13 8AR14 8AR15 8AR16 Using Percent to Find a Number Simple Probability Probability of Independent Events Probability of Dependent Events Tree Diagrams and the Counting Principle Combinations Stem- and- Leaf Plots and Frequency Tables Permutations Word Problems Multiplication Properties Comparing Integers Comparing Proper Fractions Addition and Subtraction Multiplication and Division Converting from Standard to Scientific Notation Converting from Scientific to Standard Notation Writing and Solving Equations Addition Equations Subtraction Equations Division Equations Two- Step Equations Equations with the Variable on Both Sides Solving Inequalities Solving Inequalities Distributive Property Square Roots The Product Rule Sylvan ILO / SylvanMathPrep Alignments Page 17
8AR17 8AR18 8GE1 8GE2 8GE3 8GE4 8APV1 8APV2 8GR1 8GR2 8GR3 8GR4 8RPP1 8RPP2 8RPP3 8PR1 8PR2 8PR3 8PR4 8PR5 8PS1 8PS2 8PS3 The Quotient Rule The Power Rule Numerical Bases and Exponents of Zero Pythagorean Theorem Angles of a Triangle Sides of a Triangle Volume of Prisms and Pyramids Volume of Cylinders, Spheres, and Cones Line Graphs Circle Graphs The Coordinate Grid Percent Problems Percent Problems Percent Increase or Decrease Simple Probability Probability of Independent Events Probability of Dependent Events Box- and- Whisker Plots Scatterplots and Trends Unit Price Word Problems Sylvan ILO / SylvanMathPrep Alignments Page 18
Sylvan Algebra 2 / SylvanMathPrep Sylvan ILO A2EI1 A2EI2 A2EI3 A2EI4 A2EI5 A2EI6 A2S1 A2S2 A2S3 A2S4 A2S5 A2P1 A2P2 A2P3 A2P4 A2P5 A2P6 A2P7 A2EE1 SMP Lesson Equations with Fractions Variable on Both Sides Variable on Both Sides / Distributive Solving and Graphing Inequalities Absolute Value Inequalities The Intercept Method Using Coordinates to Find Slope Using Slope to Find Missing Coordinates Standard Form The Point- Slope Formula Given Two Points Parallel and Perpendicular By Addition By Substitution Number and Value Problems The Product Rule The Power Rule The Quotient Rule Combining Exponent Rules F.O.I.L. Advanced Problems Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding Rational Expressions Subtracting Rational Expressions Complex Fractions Beginning Rational Equations Advanced Rational Equations Simplifying Radicals Multiplying Radicals Sylvan ILO / SylvanMathPrep Alignments Page 19
A2EE2 A2EE3 A2EE4 A2EE5 A2EE6 A2EE7 A2Q1 A2Q2 A2Q3 Addition and FOILing Beginning Equations Advanced Equations Beginning Completing The Square Beginning Quadratic Formula Advanced Completing The Square Advanced Quadratic Formula The Sum and Product of Roots Formula Graphing Quadratic Equations in y - k = a(x - h)2 Form Writing Quadratic Equations in y - k = a(x - h)2 Form Graphing Quadratic Functions Sylvan ILO / SylvanMathPrep Alignments Page 20
Sylvan Geometry / SylvanMathPrep Sylvan ILO G- F1 G- F2 G- F3 G- F4 G- F5 G- F6 G- TQ1 G- TQ2 G- TQ3 G- TQ4 G- TQ5 G- TQ6 G- TQ7 G- CF1 G- CF2 G- CF3 G- CF4 G- CF5 G- CF6 G- STT1 G- STT2 G- STT3 G- STT4 G- STT5 G- STT6 G- AT1 G- AT2 G- AT3 G- AT4 G- AT5 SMP Lesson Complementary and Supplementary Angles Angles of a Triangle Proving Triangles are Congruent by SSS, SAS, and ASA Congruent Figures Isosceles Triangle Theorems Properties of Parallelograms Tangents Arcs and Central Angles Inscribed Angles Area and Circumference of Circles Cylinders and Cones Spheres Angle- Angle Similarity Postulate Transformations Reflections Medians, Altitudes, and Perpendicular Bisectors Pythagorean Theorem Sine, Cosine, and Tangent (Part II) Sylvan ILO / SylvanMathPrep Alignments Page 21