## Course Overview

Students build and reinforce foundational math skills typically found in sixth through eighth grade, achieving the computational skills and conceptual understanding needed to undertake high school math courses with confidence. Carefully paced, guided instruction is accompanied by interactive practice that is engaging and accessible. Formative assessments identify areas of weakness and prescribe lessons to improve performance. Summative assessments track progress and skill development. This course is appropriate for use as remediation at the high school level or as a bridge to high school.

## Course Outline

### SEMESTER ONE

#### Unit 1: Numbers and Operations

Students begin with a diagnostic to find out what they know. Then they learn about rounding numbers, order of operations, square numbers and square roots, five step thinking plan to solving word problems, multiplication properties, division, factoring, comparing fractions, addition/subtraction of fractions, and multiplication/division of fractions.

- Number Sense: Rounding, Estimating, and Range
- Number Operations
- Number Sense: Squares and Square Root
- Problem Solving: The 5-Step Plan
- Problem Solving: Application
- Multiplication: Properties
- Multiplication: Decimals
- Division
- Number Sense: Factors
- Fractions: Equivalent Fractions
- Fractions: Estimating with Fractions
- Fractions: Multiply and Dividing Fractions

#### Unit 2: Data, Measurement, and Geometry

Students begin with a diagnostic to find out what they know. Then they learn about types of graphs, solving equations, solving inequalities, metric measures, customary measures, time, temperature, planes, polygons, circles, space figures, and calculating perimeter, circumference, area, surface area, and volume.

- Organizing Data
- Graphing Data
- Metric Measures
- Customary Measures
- Other Measures
- Plane Geometry
- Polygons
- Space Figures
- Geometric Measurements
- Circles

#### Unit 3: Ratio, Proportion, and Decimals

Students begin with a diagnostic to find out what they know. Then they learn how to solve proportion problems, find percents of whole numbers, predict outcomes, add and subtract integers, graph ordered pairs, and express numbers in expanded and scientific notation.

- Ratio and Proportion
- Percent
- Probability: Predicting Outcomes
- Integers
- Coordinate Graphing
- Number Values
- Decimal Number Concepts

#### Unit 4: Numbers and Properties

Students begin with a diagnostic to find out what they know. Then they review commutative, associate, zero, one, and distributive properties as well as learn about solving problems with decimals, writing fractions in simplest form, performing operations on fractions and mixed numbers, working problems involving percents of increase or decrease, as well as calculating discounts, markups, commissions, interest, and sales tax.

- Number Operations
- Decimal Number Concepts
- Number Theory
- Problem Solving: Decimals
- Number Theory
- Problem Solving: Number Theory
- Fraction Concepts
- Fraction Operations
- Problem Solving: Fractions
- Ratio and Proportion
- Problem Solving: Ratio, Rates, Proportions
- Probability: Properties
- Percent Concepts
- Problem Solving: Percents

#### Unit 5: Concepts in Algebra

Students begin with a diagnostic to find out what they know. Then they learn about evaluating expressions, solving multi-step equations and solving problems involving measurement.

- Algebra Concepts
- Variables and Equations
- Equations and Inequalities
- Expressions and Equations
- Problem Solving: Equations
- Problem Solving: Measurement

#### Unit 6: Geometry and Statistics

Students begin with a diagnostic to find out what they know. Then they learn basic geometric concepts, as well as how to identify plane figures, calculate circumference and area of a circle, determine similarity or congruency, measure length, area, volume, and surface area of geometric figures, find mean, median, mode, and rage in a set of data, and organize data on various graphs and plots.

- Geometric Concepts
- Plane Figures
- Motion Geometry
- Space Figures: A Review
- Geometric Measurement: A Review
- Statistics
- Graphs and Plots

### SEMESTER TWO

#### Unit 1: Operations and Real Numbers

Students begin with a diagnostic to find out what they know. Then they learn about absolute value and how to add, subtract, multiply, and divide integers. They also learn about graphing ordered pairs, review addition and multiplication properties, and more.

- Integers
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Coordinate Graphing
- Number Concepts Review
- Properties
- Problem Solving: The 5-Step Plan
- Basic Operations with Rational Numbers
- Basic Operations with Fractions

#### Unit 2: Ratio, Proportion, and Probability

Students begin with a diagnostic to find out what they know. Then they review and solve problems involving percent and probability.

- Ratio and Proportion
- Problem Solving: Ratio and Proportion
- Percent Concepts
- Percent: Practical uses
- Probability

#### Unit 3: Concepts in Algebra

Students begin with a diagnostic to find out what they know. Then they review simplifying expression and solving multi-step equations and inequalities. Students also learn how to translate data into equations and inequalities.

- Algebra: Expression, Equations, Order of Operation
- Algebra: Simplifying
- Algebra: Equalities and Inequalities
- Algebra: Multi-Step Equalities and Inequalities
- Algebra: Translating Data to Equations

#### Unit 4: Geometric Concepts

Students begin with a diagnostic to find out what they know. Then they review points, lines, rays, angles, and segments. They also review plane and space figures and learn formulas for the area of plane figures and volume of space figures. Students further explore graphing and more.

- Geometric Concepts: Points, Lines, Rays, and Angles
- Plane Figures: Polygons and Circles
- Space Figure: Polyhedrons, Cones, and Spheres
- Geometric Measurement
- Square Roots and Triangles
- Coordinate Graphing
- Coordinate Graphing to Solve Problems

#### Unit 5: Expressions and Equations

Students begin with a diagnostic to find out what they know. Then they review properties of multiplication, evaluate and simplify expressions, use inverse operations to solve equations, and more.

- Number Notation
- Expressions and Equations
- Properties Review
- Simplifying Expressions
- Solving Equations using Properties
- Solving Equations with Multiplication and Division

#### Unit 6: Elements of Algebra

Students begin with a diagnostic to find out what they know. Then they use number lines to identify, locate, and compare integers, as well as determine absolute value. Students learn rules for solving equations by adding/subtracting/multiplying/dividing integers with the same or different sign. They also solve inequalities, graph linear equations, write ratios and proportions, and more.

- Integers
- Equations with Integers by Adding and Subtracting
- Equations with Integers by Multiplying and Dividing
- Inequalities
- Solving Inequalities with Inverse Operations
- Solving Inequalities with Multiplication and Division
- Factors and Exponents
- Rational Numbers
- Equations-Inequalities by Adding and Subtracting
- Equations-Inequalities by Multiplying and Dividing
- Graphing on the Coordinate Plane
- Ratio and Proportion
- Percent
- Problem Solving with Percent
- Probability: Permutations and Combinations

#### Unit 7: Geometry

Students begin with a diagnostic to find out what they know. Then they review the definitions of point, line, ray, line segment, and angle. Students find area of polygons and surface area of pyramids, prisms, and cones. They also learn about the Pythagorean theorem and how to use frequency tables, bar, line, and circle graphs, scatter plots, and stem and leaf plots.

- Algebra with Geometry
- Polygons and Circles
- Area and Volume
- Special Triangles
- Statistics and Graphing

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