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. This is the second semester of MTH011.
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 5Step 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 multistep 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 5Step 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 multistep 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: MultiStep 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

EquationsInequalities by Adding and Subtracting

EquationsInequalities 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
.