School Launch

Scope and sequence · Math

Pre-Algebra

A one-year bridge from arithmetic to Algebra I: understand why, master the skills, practice every day

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What to cover

65 of 73 lessons are MUST COVER. They are tested on the unit tests and exams, or are skills the SAT/ACT relies on. OPTIONAL lessons are enrichment. Do them if time allows. The course is complete when the MUST COVER lessons are done.

Unit 1: Whole Numbers and Number Sense

  • MUST COVER 1.1 Place Value and Our Number System · SAT/ACT
  • OPTIONAL 1.2 Properties of Addition and Multiplication
  • MUST COVER 1.3 The Distributive Property and Mental Math · exam
  • MUST COVER 1.4 Order of Operations · exam, SAT/ACT
  • MUST COVER 1.5 Estimation and Rounding · exam

Unit 2: Factors, Multiples and Primes

  • MUST COVER 2.1 Divisibility Rules · exam
  • OPTIONAL 2.2 Prime and Composite Numbers
  • MUST COVER 2.3 Prime Factorization · exam, SAT/ACT
  • MUST COVER 2.4 Greatest Common Factor · SAT/ACT
  • MUST COVER 2.5 The Euclidean Algorithm · exam
  • MUST COVER 2.6 Least Common Multiple · exam

Unit 3: Fractions

  • MUST COVER 3.1 Fractions and Equivalent Fractions · SAT/ACT
  • MUST COVER 3.2 Simplifying and Comparing Fractions · exam, SAT/ACT
  • MUST COVER 3.3 Adding and Subtracting Fractions · exam, SAT/ACT
  • MUST COVER 3.4 Mixed Numbers · exam
  • MUST COVER 3.5 Multiplying Fractions · exam, SAT/ACT
  • MUST COVER 3.6 Dividing Fractions · exam, SAT/ACT
  • MUST COVER 3.7 Fraction Word Problems · exam, SAT/ACT

Unit 4: Decimals

  • MUST COVER 4.1 Decimals and Place Value · exam, SAT/ACT
  • MUST COVER 4.2 Adding and Subtracting Decimals · exam, SAT/ACT
  • MUST COVER 4.3 Multiplying Decimals · SAT/ACT
  • MUST COVER 4.4 Dividing Decimals · exam, SAT/ACT
  • MUST COVER 4.5 Fractions and Decimals · exam, SAT/ACT

Unit 5: Integers and Rational Numbers

  • MUST COVER 5.1 Negative Numbers and Absolute Value · SAT/ACT
  • MUST COVER 5.2 Adding Integers · exam, SAT/ACT
  • MUST COVER 5.3 Subtracting Integers · exam, SAT/ACT
  • MUST COVER 5.4 Multiplying Integers · exam, SAT/ACT
  • MUST COVER 5.5 Dividing Integers · exam, SAT/ACT
  • MUST COVER 5.6 Operations with Rational Numbers · exam, SAT/ACT

Unit 6: Exponents and Square Roots

  • MUST COVER 6.1 Exponents and Powers · SAT/ACT
  • MUST COVER 6.2 Laws of Exponents · exam, SAT/ACT
  • MUST COVER 6.3 Scientific Notation · exam
  • MUST COVER 6.4 Square Roots and Perfect Squares · exam
  • MUST COVER 6.5 Estimating Roots and Irrational Numbers · exam, SAT/ACT

Unit 7: Ratios, Rates and Proportions

  • MUST COVER 7.1 Ratios · SAT/ACT
  • MUST COVER 7.2 Rates and Unit Rates · exam
  • MUST COVER 7.3 Proportions · exam, SAT/ACT
  • MUST COVER 7.4 Scale Drawings and Maps · exam
  • MUST COVER 7.5 Unit Conversions · exam

Unit 8: Percent

  • MUST COVER 8.1 Understanding Percent · SAT/ACT
  • MUST COVER 8.2 Finding a Percent of a Number · SAT/ACT
  • MUST COVER 8.3 Percent Equations and Proportions · exam, SAT/ACT
  • MUST COVER 8.4 Percent Increase and Decrease · exam, SAT/ACT
  • MUST COVER 8.5 Discounts, Sales Tax, Tips and Markup · exam
  • MUST COVER 8.6 Simple Interest and Saving · exam

Unit 9: Variables and Expressions

  • OPTIONAL 9.1 Variables and Expressions
  • MUST COVER 9.2 Evaluating Expressions · exam
  • OPTIONAL 9.3 Writing Expressions
  • OPTIONAL 9.4 Combining Like Terms
  • MUST COVER 9.5 The Distributive Property with Variables · exam

Unit 10: Equations and Inequalities

  • MUST COVER 10.1 Equations and Solutions · SAT/ACT
  • MUST COVER 10.2 One-Step Equations with Addition and Subtraction · SAT/ACT
  • MUST COVER 10.3 One-Step Equations with Multiplication and Division · SAT/ACT
  • MUST COVER 10.4 Two-Step Equations · exam, SAT/ACT
  • MUST COVER 10.5 Multi-Step Equations · exam, SAT/ACT
  • MUST COVER 10.6 Writing Equations for Word Problems · exam, SAT/ACT
  • MUST COVER 10.7 Inequalities · exam, SAT/ACT

Unit 11: The Coordinate Plane and Graphing

  • OPTIONAL 11.1 The Coordinate Plane
  • OPTIONAL 11.2 Tables, Rules and Graphs
  • MUST COVER 11.3 Graphing Linear Equations · SAT/ACT
  • MUST COVER 11.4 Slope · exam, SAT/ACT
  • MUST COVER 11.5 Slope-Intercept Form and Direct Variation · exam, SAT/ACT

Unit 12: Geometry

  • OPTIONAL 12.1 Angles and Angle Relationships
  • MUST COVER 12.2 Triangles and Polygons · exam, SAT/ACT
  • MUST COVER 12.3 Perimeter and Area · SAT/ACT
  • MUST COVER 12.4 Circles · exam, SAT/ACT
  • MUST COVER 12.5 Volume and Surface Area · exam, SAT/ACT
  • MUST COVER 12.6 The Pythagorean Theorem · SAT/ACT
  • MUST COVER 12.7 Using the Pythagorean Theorem · exam, SAT/ACT

Unit 13: Data and Probability

  • MUST COVER 13.1 Mean, Median, Mode and Range · exam, SAT/ACT
  • MUST COVER 13.2 Choosing a Measure and Outliers · exam
  • MUST COVER 13.3 Probability of Simple Events · SAT/ACT
  • MUST COVER 13.4 Counting and Compound Events · exam

36-week pacing calendar

From the course’s own 32-week pacing guide, with catch-up and review weeks added to fill a 36-week (180-day) year.

WeekPlanDoneNotes
Wk 1Day 1: Lesson 1.1 Place Value and Our Number System
Day 2: Lesson 1.2 Properties of Addition and Multiplication
Day 3: Lesson 1.3 The Distributive Property and Mental Math (day 1 of 2)
Day 4: Lesson 1.3 The Distributive Property and Mental Math (day 2 of 2)
Day 5: Lesson 1.4 Order of Operations (day 1 of 2)
Wk 2Day 1: Lesson 1.4 Order of Operations (day 2 of 2)
Day 2: Lesson 1.5 Estimation and Rounding
Day 3: Unit 1 review (mastery checklist and missed problems)
Day 4: Unit 1 test
Day 5: Lesson 2.1 Divisibility Rules
Wk 3Day 1: Lesson 2.2 Prime and Composite Numbers
Day 2: Lesson 2.3 Prime Factorization (day 1 of 2)
Day 3: Lesson 2.3 Prime Factorization (day 2 of 2)
Day 4: Lesson 2.4 Greatest Common Factor (day 1 of 2)
Day 5: Lesson 2.4 Greatest Common Factor (day 2 of 2)
Wk 4Day 1: Lesson 2.5 The Euclidean Algorithm (day 1 of 2)
Day 2: Lesson 2.5 The Euclidean Algorithm (day 2 of 2)
Day 3: Lesson 2.6 Least Common Multiple (day 1 of 2)
Day 4: Lesson 2.6 Least Common Multiple (day 2 of 2)
Day 5: Unit 2 review (mastery checklist and missed problems)
Wk 5Day 1: Unit 2 test
Day 2: Lesson 3.1 Fractions and Equivalent Fractions (day 1 of 2)
Day 3: Lesson 3.1 Fractions and Equivalent Fractions (day 2 of 2)
Day 4: Lesson 3.2 Simplifying and Comparing Fractions (day 1 of 2)
Day 5: Lesson 3.2 Simplifying and Comparing Fractions (day 2 of 2)
Wk 6Day 1: Lesson 3.3 Adding and Subtracting Fractions (day 1 of 2)
Day 2: Lesson 3.3 Adding and Subtracting Fractions (day 2 of 2)
Day 3: Lesson 3.4 Mixed Numbers (day 1 of 2)
Day 4: Lesson 3.4 Mixed Numbers (day 2 of 2)
Day 5: Lesson 3.5 Multiplying Fractions (day 1 of 2)
Wk 7Day 1: Lesson 3.5 Multiplying Fractions (day 2 of 2)
Day 2: Lesson 3.6 Dividing Fractions (day 1 of 2)
Day 3: Lesson 3.6 Dividing Fractions (day 2 of 2)
Day 4: Lesson 3.7 Fraction Word Problems (day 1 of 2)
Day 5: Lesson 3.7 Fraction Word Problems (day 2 of 2)
Wk 8Day 1: Unit 3 review (mastery checklist and missed problems)
Day 2: Unit 3 test
Day 3: Lesson 4.1 Decimals and Place Value
Day 4: Lesson 4.2 Adding and Subtracting Decimals (day 1 of 2)
Day 5: Lesson 4.2 Adding and Subtracting Decimals (day 2 of 2)
Wk 9Day 1: Lesson 4.3 Multiplying Decimals (day 1 of 2)
Day 2: Lesson 4.3 Multiplying Decimals (day 2 of 2)
Day 3: Lesson 4.4 Dividing Decimals (day 1 of 2)
Day 4: Lesson 4.4 Dividing Decimals (day 2 of 2)
Day 5: Lesson 4.5 Fractions and Decimals (day 1 of 2)
Wk 10Day 1: Lesson 4.5 Fractions and Decimals (day 2 of 2)
Day 2: Unit 4 review (mastery checklist and missed problems)
Day 3: Unit 4 test
Day 4: Lesson 5.1 Negative Numbers and Absolute Value
Day 5: Lesson 5.2 Adding Integers (day 1 of 2)
Wk 11Day 1: Lesson 5.2 Adding Integers (day 2 of 2)
Day 2: Lesson 5.3 Subtracting Integers (day 1 of 2)
Day 3: Lesson 5.3 Subtracting Integers (day 2 of 2)
Day 4: Lesson 5.4 Multiplying Integers (day 1 of 2)
Day 5: Lesson 5.4 Multiplying Integers (day 2 of 2)
Wk 12Day 1: Lesson 5.5 Dividing Integers (day 1 of 2)
Day 2: Lesson 5.5 Dividing Integers (day 2 of 2)
Day 3: Lesson 5.6 Operations with Rational Numbers (day 1 of 2)
Day 4: Lesson 5.6 Operations with Rational Numbers (day 2 of 2)
Day 5: Unit 5 review (mastery checklist and missed problems)
Wk 13Day 1: Unit 5 test
Day 2: Lesson 6.1 Exponents and Powers
Day 3: Lesson 6.2 Laws of Exponents (day 1 of 2)
Day 4: Lesson 6.2 Laws of Exponents (day 2 of 2)
Day 5: Lesson 6.3 Scientific Notation (day 1 of 2)
Wk 14Day 1: Lesson 6.3 Scientific Notation (day 2 of 2)
Day 2: Lesson 6.4 Square Roots and Perfect Squares (day 1 of 2)
Day 3: Lesson 6.4 Square Roots and Perfect Squares (day 2 of 2)
Day 4: Lesson 6.5 Estimating Roots and Irrational Numbers (day 1 of 2)
Day 5: Lesson 6.5 Estimating Roots and Irrational Numbers (day 2 of 2)
Wk 15Day 1: Unit 6 review (mastery checklist and missed problems)
Day 2: Unit 6 test
Day 3: Midterm review (Units 1–6)
Day 4: Midterm exam (Units 1–6)
Day 5: Lesson 7.1 Ratios
Wk 16Day 1: Lesson 7.2 Rates and Unit Rates (day 1 of 2)
Day 2: Lesson 7.2 Rates and Unit Rates (day 2 of 2)
Day 3: Lesson 7.3 Proportions (day 1 of 2)
Day 4: Lesson 7.3 Proportions (day 2 of 2)
Day 5: Lesson 7.4 Scale Drawings and Maps (day 1 of 2)
Wk 17Catch-up and review week (no new lessons)
Wk 18Day 1: Lesson 7.4 Scale Drawings and Maps (day 2 of 2)
Day 2: Lesson 7.5 Unit Conversions (day 1 of 2)
Day 3: Lesson 7.5 Unit Conversions (day 2 of 2)
Day 4: Unit 7 review (mastery checklist and missed problems)
Day 5: Unit 7 test
Wk 19Day 1: Lesson 8.1 Understanding Percent
Day 2: Lesson 8.2 Finding a Percent of a Number (day 1 of 2)
Day 3: Lesson 8.2 Finding a Percent of a Number (day 2 of 2)
Day 4: Lesson 8.3 Percent Equations and Proportions (day 1 of 2)
Day 5: Lesson 8.3 Percent Equations and Proportions (day 2 of 2)
Wk 20Day 1: Lesson 8.4 Percent Increase and Decrease (day 1 of 2)
Day 2: Lesson 8.4 Percent Increase and Decrease (day 2 of 2)
Day 3: Lesson 8.5 Discounts, Sales Tax, Tips and Markup (day 1 of 2)
Day 4: Lesson 8.5 Discounts, Sales Tax, Tips and Markup (day 2 of 2)
Day 5: Lesson 8.6 Simple Interest and Saving (day 1 of 2)
Wk 21Day 1: Lesson 8.6 Simple Interest and Saving (day 2 of 2)
Day 2: Unit 8 review (mastery checklist and missed problems)
Day 3: Unit 8 test
Day 4: Lesson 9.1 Variables and Expressions
Day 5: Lesson 9.2 Evaluating Expressions (day 1 of 2)
Wk 22Day 1: Lesson 9.2 Evaluating Expressions (day 2 of 2)
Day 2: Lesson 9.3 Writing Expressions (day 1 of 2)
Day 3: Lesson 9.3 Writing Expressions (day 2 of 2)
Day 4: Lesson 9.4 Combining Like Terms (day 1 of 2)
Day 5: Lesson 9.4 Combining Like Terms (day 2 of 2)
Wk 23Day 1: Lesson 9.5 The Distributive Property with Variables (day 1 of 2)
Day 2: Lesson 9.5 The Distributive Property with Variables (day 2 of 2)
Day 3: Unit 9 review (mastery checklist and missed problems)
Day 4: Unit 9 test
Day 5: Lesson 10.1 Equations and Solutions
Wk 24Day 1: Lesson 10.2 One-Step Equations with Addition and Subtraction
Day 2: Lesson 10.3 One-Step Equations with Multiplication and Division (day 1 of 2)
Day 3: Lesson 10.3 One-Step Equations with Multiplication and Division (day 2 of 2)
Day 4: Lesson 10.4 Two-Step Equations (day 1 of 2)
Day 5: Lesson 10.4 Two-Step Equations (day 2 of 2)
Wk 25Day 1: Lesson 10.5 Multi-Step Equations (day 1 of 2)
Day 2: Lesson 10.5 Multi-Step Equations (day 2 of 2)
Day 3: Lesson 10.6 Writing Equations for Word Problems (day 1 of 2)
Day 4: Lesson 10.6 Writing Equations for Word Problems (day 2 of 2)
Day 5: Lesson 10.7 Inequalities (day 1 of 2)
Wk 26Day 1: Lesson 10.7 Inequalities (day 2 of 2)
Day 2: Unit 10 review (mastery checklist and missed problems)
Day 3: Unit 10 test
Day 4: Lesson 11.1 The Coordinate Plane
Day 5: Lesson 11.2 Tables, Rules and Graphs (day 1 of 2)
Wk 27Day 1: Lesson 11.2 Tables, Rules and Graphs (day 2 of 2)
Day 2: Lesson 11.3 Graphing Linear Equations (day 1 of 2)
Day 3: Lesson 11.3 Graphing Linear Equations (day 2 of 2)
Day 4: Lesson 11.4 Slope (day 1 of 2)
Day 5: Lesson 11.4 Slope (day 2 of 2)
Wk 28Day 1: Lesson 11.5 Slope-Intercept Form and Direct Variation (day 1 of 2)
Day 2: Lesson 11.5 Slope-Intercept Form and Direct Variation (day 2 of 2)
Day 3: Unit 11 review (mastery checklist and missed problems)
Day 4: Unit 11 test
Day 5: Lesson 12.1 Angles and Angle Relationships
Wk 29Day 1: Lesson 12.2 Triangles and Polygons (day 1 of 2)
Day 2: Lesson 12.2 Triangles and Polygons (day 2 of 2)
Day 3: Lesson 12.3 Perimeter and Area (day 1 of 2)
Day 4: Lesson 12.3 Perimeter and Area (day 2 of 2)
Day 5: Lesson 12.4 Circles (day 1 of 2)
Wk 30Day 1: Lesson 12.4 Circles (day 2 of 2)
Day 2: Lesson 12.5 Volume and Surface Area (day 1 of 2)
Day 3: Lesson 12.5 Volume and Surface Area (day 2 of 2)
Day 4: Lesson 12.6 The Pythagorean Theorem (day 1 of 2)
Day 5: Lesson 12.6 The Pythagorean Theorem (day 2 of 2)
Wk 31Day 1: Lesson 12.7 Using the Pythagorean Theorem (day 1 of 2)
Day 2: Lesson 12.7 Using the Pythagorean Theorem (day 2 of 2)
Day 3: Unit 12 review (mastery checklist and missed problems)
Day 4: Unit 12 test
Day 5: Lesson 13.1 Mean, Median, Mode and Range
Wk 32Day 1: Lesson 13.2 Choosing a Measure and Outliers (day 1 of 2)
Day 2: Lesson 13.2 Choosing a Measure and Outliers (day 2 of 2)
Day 3: Lesson 13.3 Probability of Simple Events
Day 4: Lesson 13.4 Counting and Compound Events (day 1 of 2)
Day 5: Lesson 13.4 Counting and Compound Events (day 2 of 2)
Wk 33Day 1: Unit 13 review (mastery checklist and missed problems)
Day 2: Unit 13 test
Day 3: Final review (Units 1–6)
Day 4: Final review (Units 7–13)
Day 5: Final exam (Units 1–13)
Wk 34Catch-up week: finish any MUST COVER lesson not yet done
Wk 35Catch-up week: finish any MUST COVER lesson not yet done
Wk 36Year-end review, portfolio and records

Grading: Daily practice sets 20%, Unit tests 50%, Midterm exam 15%, Final exam 15%. Scale: A 90–100, B 80–89, C 70–79, D 60–69, below 60 redo