MTH011: Math Foundations II This course brings students up to grade level guiding them through 6th- to 8th-grade skills. It is appropriate for use as remediation at the high school level, as a bridge to high school, or as middle school curriculum. The program builds computational skills and conceptual understanding needed to undertake high-school-level math courses with confidence. Carefully paced, guided instruction is accompanied by interactive practice that is engaging and accessible. Formative assessments help students understand areas of weakness and improve performance, while summative assessments chart progress and skill development. The course effectively remediates computational skills and conceptual understanding needed to undertake high-school-level math courses with confidence. Course length: Two semesters Materials: None Prerequisites: None SEMESTER ONE Unit 1: Integers and Operations Students begin with a diagnostic to find out what they know. Then they learn about negative numbers, absolute value, integers, operations, and inequalities. Negative Numbers Absolute Value Adding and Subtracting Integers Multiplying and Dividing Integers Properties of Operations Order of Operations Number Lines and Inequalities Unit 2: Fractions and Operations Students begin with a diagnostic to find out what they know. Then they learn about the fundamentals of fractions, equivalent and improper fractions, adding, subtracting, dividing, and simplifying fractions, and rational numbers. Fraction Fundamentals Introduction to Fraction Arithmetic Equivalent Fractions Simplifying Fractions Improper Fractions and Mixed Numbers Dividing Fractions Adding and Subtracting Fractions The Set of Rational Numbers www.k12.com { Pg. 1 }
Unit 3: Decimals and Operations Students begin with a diagnostic to find out what they know. Then they learn about fundamentals of decimals; adding, subtracting, multiplying, and dividing decimals; word problems; and estimating sums, differences, products, and quotients. Decimal Fundamentals Multiplying Decimals Multiplying Decimals and Adding Zeros Repeating Decimals Dividing Decimals Adding and Subtracting Decimals in Word Problems Word Problems with Decimals All Operations Estimating Sums and Differences with Decimals Estimating Products and Quotients of Decimals Unit 4: Percents, Ratios, Proportions, and Rates Students begin with a diagnostic to find out what they know. Then they learn about percentages; relating fractions, decimals, and percents; ratios; proportions; rates; similarity; and scale. The Meaning of Percent Estimating Percent Working with Percents Relating Fractions, Decimals, and Percents Common Fractions, Decimals, and Percents Introduction to Ratios Comparing Ratios Proportions Rates Similarity and Scale Factors Unit 5: The Language of Algebra Students begin with a diagnostic to find out what they know. Then they learn about variables; solving problems with tables and graphs; variable expressions; and mathematical sentences. What Is a Variable? Finding and Naming Variables Units and Reasonable Values Graphs, Tables, and Equations Solving Problems with Tables and Graphs Variable Expressions Mathematical Sentences Unit 6: Solving Equations with Addition and Subtraction Students begin with a diagnostic to find out what they know. Then they learn to simplify and evaluate expressions; solve mathematical sentences and equations graphically; and solve inequalities. Simplifying and Evaluating Expressions Solving Mathematical Sentences www.k12.com { Pg. 2 }
Solving Equations Graphically Solving Equations with Larger Numbers Solving x + a = b Solving with a Number Line Solving Inequalities Variations of Equations and Inequalities Solving ax = b Solving x/a = b SEMESTER TWO Unit 1: Exponents Students begin with a diagnostic to find out what they know. Then they learn about exponents, the order of operations, scientific notation, exponents in geometry, and radical notation. Definitions and Examples of Exponents Exponents and the Order of Operations Laws of Exponents Scientific Notation Exponents in Geometry Radical Notation Unit 2: Solving Equations with Roots and Powers Students begin with a diagnostic to find out what they know. Then they learn about inequalities and absolute value and how to solve equations with roots and powers. Solving x = b Solving x2 = b Solving x = b Inequalities and Absolute Value Inequalities and x2 Inequalities and x Unit 3: Multi-Step Equations Students begin with a diagnostic to find out what they know. Then they learn about multi-step equations, collecting like terms, and using the distributive property. Solving ax + b = c Collecting Like Terms Using the Distributive Property Variables on Both Sides of the Equation www.k12.com { Pg. 3 }
Unit 4: Linear Equations Students begin with a diagnostic to find out what they know. Then they learn about Cartesian coordinate systems, reading data from graphs, parallel and perpendicular lines, slope, and linear inequalities. Cartesian Coordinate Systems Reading Data from Graphs Lines in the xy-plane Finding the Slope of a Line Parallel and Perpendicular Lines Slope and Equations Slope-Intercept Form Point-Slope Form Point-Slope Equation of a Line Linear Inequalities Unit 5: Systems of Linear Equations Students begin with a diagnostic to find out what they know. Then they learn about two variable systems graphing, solving with substitution, and solving by elimination. Graphing Two Variable Systems Solving Two Variable Systems with Substitution Solving Two Variable Systems by Elimination Two Variable Systems of Inequalities Unit 6: Distance and Angles Students begin with a diagnostic to find out what they know. Then they learn about lines, segments, and rays; angles; triangles; the Pythagorean Theorem; and the distance formula. Lines, Segments, and Rays Angles Angles of a Triangle Similar Triangles The Pythagorean Theorem The Distance Formula Unit 7: Area, Surface Area, and Volume Students begin with a diagnostic to find out what they know. Then they learn about perimeter, area, and volume before learning about area of triangles and circles, the number pi, and the surface area and volume of prisms and cylinders. Review of Perimeter Area and Volume Area of Triangles The Number Pi The Area of a Circle Surface Area of Prisms and Cylinders Volume of Prisms and Cylinders www.k12.com { Pg. 4 }
Unit 8: Data Analysis and Probability Students begin with a diagnostic to find out what they know. Then they learn about data analysis before learning about populations and samples; mean, median, and range; quartiles and box and whisker plots; and the line of best fit. They are introduced to probability. Review of Data Analysis Populations and Samples Mean, Median, and Range Quartiles and Box and Whisker Plots Two Variable Data Sets and the Line of Best Fit Introduction to Probability Copyright 2010 K12 Inc. All rights reserved. K12 is a registered trademark and the K¹² logo, xpotential and Unleash the xpotential are trademarks of K12 Inc. www.k12.com { Pg. 5 }